Answer:
1. 56.7
2. 0.088
Step-by-step explanation:
1.35x4.2=56.7
0.4x0.22=0.088
Find the value of x.
Answer:
x = 6
Step-by-step explanation:
The hypotenuse of the bigger triangle is 13. Which means that the squares of the other sides have to add to 169 (the square of 13) which we gather from the Pythagoras's theoreom. This clears all the other options except for x = 6 since the squares of all the other numbers are larger than 169 except \(\sqrt{97}\) but looking at the graph, we can tell that x can't be root 97 since it would not slot together with the smaller triangle with the 4.
A triangle is a shape with 3 sides and angles. The value of x from the given figure is 6
Triangular altitude theorem
A triangle is a shape with 3 sides and angles. To determine the value of x we will use the theorem to form an expression;
4/x =x/9
Cross multiply
x² = 9 * 4
x² = 36
x = 6
Hence the value of x from the given figure is 6
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In a test containing 10 questions, (+5) marks are awarded for every correct answer, (-1) mark for every incorrect answer and 0 for not attempting the questions. If Rashid gets 4 correct answers and 6 incorrect answers, what is his score?
Answer:
14
Step-by-step explanation:
10 questions = 4 correct + 6 incorrect
4 correct = 4* 5 = 20
6 incorrect = 6* (-1) = -6
His score is 20 -6 = 14 points
Fill in the missing number in this sequence:
{ } 45, 15, 5
Answer:
135
Step-by-step explanation:
every njmber is divided by 3
If 135 is divised by 3 it becomes 45
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to fill in the missing number in the following sequence:
\(\pmb{(~~~),45,15,5}\)
\(\triangle~\fbox{\bf{KEY:}}\)
Look at the common ratio.Since every number here is divided by 3, the common ratio is 3.
To find the missing number, we should multiply 45 times the common ratio, 3:
\(\star~\mathrm{\overline{\underline{\overline{\underline{135}}}}}\)
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
simplify 6 (n - 4) - 4n
Help me please >:] Angles suck
(Hey, angles rock!)
Answer:
45 + 60 = 105
Step-by-step explanation:
ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.
45 + 60 = 105
Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer
The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.
A correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.
Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.
However, it is important to note that correlation does not imply causation.
It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.
Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.
To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.
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given the system y=-1/2x-1 and -1/4x+y+4=0 write the solution to the system on the space provided below as an ordered pair
The solution to the system of equations as an ordered pair is (4, -3).
We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.
We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".
y = (-1/2)x - 1
(-1/4)x + y + 4 = 0
Substitute the value of "y" from the first equation into the second equation.
(-1/4)x + (-1/2)x - 1 + 4 = 0
(-3/4)x+3 = 0
(3/4)x = 3
x = 4
Substitute the value of "x" back into the first equation to get the value of "y".
y = (-1/2)x - 1
y = (-1/2)4 - 1
y = -2 - 1
y = -3
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the record distance in the sport of throwing cowpats is 81.1 m. this record toss was set by steve urner of the united states in 1981. assuming the initial launch angle was 45° and neglecting air resistance, answer the following.
(a) The initial speed of the projectile - 28.2m/s
(b)The total time interval the projectile was in flight - 4.07s.
a) When a projectile is launched with speed \(v_{i}\) at an angle above the horizontal, the initial velocity components are \(v_{xi}\) = \(v_{i}\) cos\(θ\) and \(v_{yi}\)= \(v_{i}\) sin\(θ\) . Neglecting air resistance, the vertical velocity when the projectile returns to the level from which it was launched (in this case, the ground) will be \(v_{y} = - v_{yi}\) .
From this information, the total time of flight is found \(v_{yf} = v_{yi} + a_{y}\) to be
\(t_{total} = \frac{v_{yf} - v_{yi} }{a_{y}}\) = \(\frac{-v_{yi} - v_{yi} }{-g}}\) = \(\frac{2v_{yi} }{g}\)
\(t_{total} = \frac{2v_{i}sinθ }{g}\)
Since the velocity of a projectile with no air resistance is constant, the horizontal distance it will travel in this time is given by
R = \(v_{xi} t_{total} = (v_{i} cosθ_{i}) \frac{2v_{i}sinθ }{g}\) = \(\frac{v^{2}_{i}}{g}( 2sinθ_{i} cosθ_{i} )\) = \(\frac{v^{2} _{i} (sin2θ_{i} ) }{g}\)
Thus, if the projectile is to have a range of R=81.1m when launched at an angle of \(θ_{i}\)=45.0°, the required initial speed is
\(v_{i} = \sqrt{\frac{81.1 * 9.80}{sin90} }\) = 28.2 m/s
Therefore, the initial speed of the projectile - 28.2m/s
b) With \(v_{i}\)=28.2m/s and \(θ_{i}\) = 45.0°, the total time of flight (as found
above) will be
\(t_{total} = \frac{2v_{i}sinθ }{g}\) = \(\frac{2(28.2 m/s) sin45}{9.80m/s^{2}}\) = 4.07s
∴The total time interval the projectile was in flight - was 4.07s.
c) Note that at \(θ_{i}\) =45.0° that sin(2\(θ_{i}\)) will decrease as \(θ_{i}\) is increased above this optimum launch angle. Thus, if the range is to be kept constant while the launch angle is increased above 45.0°, we see from \(v_{i}\) = \(\sqrt{\frac{Rg}{sin2θ_{i}} }\)that the required initial velocity will increase.
Observe that for \(θ_{i}\) <90°, the function sin\(θ_{i}\) increases as \(θ_{i}\) it increased. Thus, increasing the launch angle above 45.0° while keeping the range constant means that both \(v_{i}\) sins will increase. Considering the expression \(t_{total}\) given above, we see that the total time of flight will increase.
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The correct question is :
The record distance in the sport of throwing cowpats is 81.1m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the total time interval the projectile was in flight. (c) How would the answers change if the range were the same but the launch angle was greater than 45°? Explain.
HELP ASAP (40 points if correct)
How many solutions does the system of linear equations represented in the graph have?
A. One solution at (−2, 0)
B. One solution at (0, −2)
C. Infinitely many solutions
D. No solution
The equation has one solution at (0, -2) for the system of linear equations represented in the graph.
What is the Solution to a Linear Equation?The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all possible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.
Given the graph,
and the line passes from (0, -2) and (4, 0)
since the line passes from (0, -2) and (4, 0),
so one of the solutions is at (0, -2),
and another solution is at (4, 0).
according to the options equation has (0, -2) as one of the solutions.
Hence option B is correct.
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1. What is the value of x?
A. 45
B. 12
C. 33
Pls help
100 POINTS AND BRAINLIEST Please help solve at least 1 of these problems and show your work because I don’t know how to solve these
Step-by-step explanation:
Triangle a) is half of an equilateral triangle therefore the height divides the base into two equal parts, same thing for triangle b), triangle c) instead is half square, therefore congruent catheti.
a)
n = 6 : 2
n = 3
m = √(6²+3²)
m = √45
b)
x = 10 x 2 = 20
y = √(20²-10²)
y = √300
c)
a = √(5²+5²)
a = √50
the answers are in simple radical form as requested
Select the correct comparison.
Set A
Set B
● ●
10
0 24 6 8
OA. The typical value is greater in set A. The spread is greater in set B.
OB. The typical value is greater in set B. The spread is greater in set A.
OC. The typical value and the spread are both greater in set A.
OD. The typical value and the spread are both greater in set B.
The true comparison is the typical value is greater in set A. The spread is greater in set B.
What is the true comparison?Spread is used to measure the variability of a data set. Range can be used to measure spread. Range is the difference between the largest number and the smallest number in the dataset.
Spread of set A = 7 - 5 = 2Spread of set B = 8 - 1 = 7The median can be used to measure the typical value of the dataset. Median is the number at the center of the data set.
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The graphs shown are of two different functions.
Both Graph A and Graph B have only one x-intercept.
Graph A is a linear function because it has a constant rate of change.
Graph B is not a linear function because it has a constant rate of change.
Both Graph A and Graph B have multiple y-intercepts.
Which one?
Graph A is a linear function because it has a constant rate of change.
What is a linear function?
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Here, we have
Given two graphs and we have to show which graph is linear.
We concluded from the graph that
Graph A is a linear graph.
Graph A has a constant rate of change.
Graph A has only one x-intercept.
Graph A has only one y-intercept.
Graph B is not a linear graph.
Graph B does not have a constant rate of change.
Graph B has multiple x-intercepts.
Graph B has only one y-intercept.
Comparing all the statements with the given characteristics of both graphs, we see that the statement that is true in Graph A is a linear function because it has a constant rate of change.
Hence, Graph A is a linear function because it has a constant rate of change.
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Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the number of ant legs, 1. Katie writes a=6•1 and Lukas writes a=1/6•1 whose equation do u agree with
the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation
Katie's equation is a=6•1, which states that the number of ants (a) is equal to 6 times the number of ant legs (1). Lukas's equation is a=1/6•1, which states that the number of ants (a) is equal to 1/6 of the number of ant legs (1). Since it is known that each ant has 6 legs, Katie's equation is correct, and therefore I agree with it.
The correct equation for the proportional relationship between the number of ants and the number of ant legs is a=6•1, which states that the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation
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.FIND THE DIFFERENCE OF 8,328 AND 459?
Answer:
7869
Step-by-step explanation:
8,328
- 459
________
7,869
Damian has 74 m of fencing to build a four-sided fence around a
rectangular plot of land. The area of the land is 342 square meters.
Solve for the dimensions (length and width) of the field.
Answer:
Step-by-step explanation:
Let the length be l and the width be y. We have the following:
l + w = 37
lw = 342
From here, we can find the factor pairs of 342, and see which pair has a sum of 37. Our desired pair is 18 & 19, so the dimensions of the field are 18 by 19 feet.
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
Show your work please
Answer:B
Explanation Samuel earn per hour = 5 hrs
Commission = 65%
Samuel total earning for a day = 6 hrs
Now,
5(65)+6y
The rectangular floor of a classroom is 38 feet in length and 26 feet in width. A scale drawing of the floor has a length of 19 inches. What is the area, in square inches, of the floor in the scale drawing?
Answer:
length is 19 width is 15
Step-by-step explanation:
The area of the classroom floor in the scale drawing is 247 square inches.
What is Area of Rectangle?The area of Rectangle is length times of width.
We need to find the scale of the drawing, which is the ratio of the length in the drawing to the actual length:
19 inches / 38 feet = 0.5 inches/foot
Now we can use the scale to find the dimensions of the classroom floor in the scale drawing:
Length in scale drawing = Actual length × Scale
Width in scale drawing = Actual width × Scale
Length in scale drawing = 38 feet × 0.5 inches/foot = 19 inches
Width in scale drawing = 26 feet × 0.5 inches/foot = 13 inches
So the dimensions of the classroom floor in the scale drawing are 19 inches by 13 inches.
To find the area in square inches, we can multiply the length by the width:
Area in scale drawing = Length in scale drawing × Width in scale drawing
= 19 inches× 13 inches
= 247 square inches
Therefore, the area of the classroom floor in the scale drawing is 247 square inches.
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Write three factors of 24 which have a sum of more than 37 and less than 40
Answer:
24, 12, 2
Step-by-step explanation:
24, 12, and 2 are all factors of 24.
24+12+2=38
37<38<40
the three factors of 24 that have a sum between 37 and 40 are 2, 12, and 24, with a sum of 38. Another combination is 4, 8, and 24, also with a sum of 38.
To find three factors of 24 with a sum between 37 and 40, we can start by listing the factors of 24:
1, 2, 3, 4, 6, 8, 12, 24
Next, we'll try different combinations of these factors to see if any three of them add up to a sum between 37 and 40:
1 + 2 + 24 = 27 (not within the desired range)
1 + 3 + 24 = 28 (not within the desired range)
1 + 4 + 24 = 29 (not within the desired range)
1 + 6 + 24 = 31 (not within the desired range)
1 + 8 + 24 = 33 (not within the desired range)
1 + 12 + 24 = 37 (not within the desired range)
2 + 3 + 24 = 29 (not within the desired range)
2 + 4 + 24 = 30 (not within the desired range)
2 + 6 + 24 = 32 (not within the desired range)
2 + 8 + 24 = 34 (not within the desired range)
2 + 12 + 24 = 38 (within the desired range)
3 + 4 + 24 = 31 (not within the desired range)
3 + 6 + 24 = 33 (not within the desired range)
3 + 8 + 24 = 35 (not within the desired range)
3 + 12 + 24 = 39 (within the desired range)
4 + 6 + 24 = 34 (not within the desired range)
4 + 8 + 24 = 36 (within the desired range)
4 + 12 + 24 = 40 (not within the desired range)
6 + 8 + 24 = 38 (within the desired range)
6 + 12 + 24 = 42 (not within the desired range)
8 + 12 + 24 = 44 (not within the desired range)
Therefore, the three factors of 24 that have a sum between 37 and 40 are 2, 12, and 24, with a sum of 38. Another combination is 4, 8, and 24, also with a sum of 38.
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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
The additional information required to prove that ΔXYZ and ΔFEG are congruent is ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.
Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.
When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.
∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned
XZ ≅ FG and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles
XY ≅ EF and ZY ≅ FG, is not possible.
∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.
So, the correct answer is option 1 and option 5.
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The complete question is as follows and image is given below
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
∠Z ≅ ∠G and XZ ≅ FG
∠Z ≅ ∠G and ∠Y ≅ ∠E
XZ ≅ FG and ZY ≅ GE
XY ≅ EF and ZY ≅ FG
∠Z ≅ ∠G and XY ≅ FE
Answer:
1 and 5 are correct
Step-by-step explanation:
rounding off 0nes decimal place 0.09
Answer:
0.1
Step-by-step explanation:
Since the 9 is greater than or equal to 5, you round up, turning the 0 to 1
Answer:
0.1
Step-by-step explanation:
77. the volume of a cube is increasing at a rate of \(10 \mathrm{~cm}^{3} / \mathrm{min}\) . how fast is the surface area increasing when the length of an edge is \(30 \mathrm{~cm} ?\)
Answer:
\(\displaystyle \frac{4}{3}\text{cm}^2/\text{min}\)
Step-by-step explanation:
Given
\(\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}\)
Solution
(1) Find the rate of the cube's edge length with respect to time at s=30:
\(\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}\)
(2) Find the rate of the cube's surface area with respect to time at s=30:
\(\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}\)
Therefore, the surface area increases when the length of an edge is 30 cm at a rate of \(\displaystyle \frac{4}{3}\text{cm}^2/\text{min}\).
While selling 15 copies, a man gains the cost price of 5 copies, find the profit percent.
Answer:
If the price is p and the cost is c, then
15p = 20c
p/c = 20/15 = 1.333
so, he made 33% profit
While sorting some change into piggy banks, Kyle put 4 coins in the first piggy bank, 6 coins in the second piggy bank, 9 coins in the third piggy bank, 13 coins in the fourth piggy bank, and 18 coins in the fifth piggy bank. If this pattern continues, how many coins will Kyle put in the sixth piggy bank?
Answer:24
Step-by-step explanation:4+2=6,6+3=9,9+4=13,13+5=18,18+6=24
Answer:
24
Step-by-step explanation:
because in first piggy bank has 4 coins and second has 6 . difference=6-4=2
second has 6 coins and third has 9 . difference= 9 - 6 = 3 third has 9 coins and fourth has 13 . difference=13-9=4
fourth has 13 and fifth has 18 coins difference is 18 -13 =5
then,sixth has 24 because all have 2 3 4 5 difference then six has 6
how does the standard deviation relate to the consistency and range of a data set
The standard deviation is a statistical measure that provides information on the spread or dispersion of data around the mean value. It is calculated as the square root of the variance and is usually expressed in the same units as the data. The standard deviation helps to evaluate the consistency and range of a data set in the following three ways.
Firstly, the standard deviation reflects the degree of variation or diversity in the data. A higher standard deviation indicates that the data points are more spread out and diverse, while a lower standard deviation implies that the data points are more clustered and consistent. For instance, if we compare two data sets with the same mean value but different standard deviations, we can say that the one with the higher standard deviation has a wider range and more variable values.
Secondly, the standard deviation can be used to identify outliers or extreme values in the data set. Outliers are data points that lie far away from the mean and can affect the overall analysis or conclusions drawn from the data. By calculating the standard deviation, we can determine the range within which most of the data points lie and detect any values that fall outside that range.
Thirdly, the standard deviation is essential in hypothesis testing and decision-making based on statistical inference. It helps to assess the significance of differences or similarities between two or more data sets and determine whether they are due to chance or actual differences in the underlying populations. The standard deviation serves as a basis for calculating confidence intervals, z-scores, and p-values, which are used to test hypotheses and draw conclusions.
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A drama class has a total of 35 students the number of females is 13 less than the number of males. How many males and how many females are in the class
Subtract the difference of girls and boys from total kids:
35 -13 = 22
Divide 22 in half:
22/2 = 11
number of females = 11
Number of males = 11 + 13 = 24
Answer:
24 males, 11 females
Step-by-step explanation:
Solved with equations:
m = males, f = females
The equations:
\(m+f=35\\m-f=13\)
Add the two equations:
\(2m=48\)
\(m=48/2=24\) males
Number of females:
\(24+f=35\\f=35-24\\f=11\)
Hope this helps
What is the measure of angle q°?
70°
110°
90°
180°
Answer:
sorry but where are the angles
The value of q in the quadrilateral 70°
Given that a quadrilateral we need to find the value of q,
Since we can see that the opposite angles are equal so the quadrilateral can be a parallelogram,
Therefore, we get, q and 110° is consecutive angles and the consecutive angles in a parallelogram are supplementary angles,
So,
110° + q° = 180°
Solve for q,
q° = 180° - 110°
Simplification
q° = 70°
Hence the value of q is 70.
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Which is a linear function(-5,3), (-3,0), (-1,-6) /(-2,11), (-1,9), (0,7) / (-1,2), (0,3), (1,2) / (1,1), (1,3), (1,6)
Answer:
y=4x+3
Step-by-step explanation:
Graph the points and find the y intercept and the difference of two different points
Which of the following represents a function
1
X
6
-51 8 1
1 1723 171
10.1) (3,2), (8,3), (2,2), (34)
hii, I would really appreciate it if you could help me out and answer this question. So this really isn’t a math question. You see I’m a 7th grader who got all A’s except for one C. I’m really worried that this C is going to affect me getting into a good high school especially since there going to be pay attention to my grades since we’re not taking the PSSA this year or any major tests. I also don’t know my gpa but at the bottom I’ll put my grades for the first marking period:
Health 7 - A (99.25%)
Mathematics 7 - A (99.75%)
Physical Education 7 - A (90.19%)
Reading 7 - A (98.14%)
Science 7 - A (100%)
Seminar - A (97.57%)
Social Studies 7 - A (100%)
Social Studies Enrichment- C (78.75%)
Spanish - A (98.8%)
Writing 7 - A (100%)
Writing Enrichment- A (99%)
Answer:
hi! i think you'll be ok, maybe ask your teacher if you can make up any work of do a project to get your grade up. teachers will more look at all you A's not that one C. :))
Step-by-step explanation:
Answer:
Hi!
Step-by-step explanation:
I think you will be okay! I calculated your average by adding all of them and dividing by the number of classes you are taking and it is still around a 96.5!! That is really good! If you are an overachiever like me, I understand that maybe you think it isn't your full potential, but trust me, it is a really good grade!! Whatever high school you are applying to (I'm not too sure how it works because I just went to my public highschool lol) will see you are taking a lot of classes and are doing phenomenal in all of them! I would try asking for extra credit or finding out if there is any way you can raise your grade, I do that when I am not happy with my grades. If you wanted to figure our your GPA out of 4.0 I think there are gpa calculators if you look them up. I hope this was helpful!