All the equivalent expression are,
⇒ √8 = 2 units, 2 units
⇒ √7 = √5 and √2 units
⇒ √5 = 1 units, 2 units
⇒ 3 = √5 units, 2 units
We have to given that;
To match each legs with their hypotenuse lengths
Since, WE know that;
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Hence, We get;
For √5 and √2 units;
⇒ √(√5)² + (√2)²
⇒ √5 + 2
⇒ √7
⇒ √(√3)² + 4²
⇒ √3 + 16
⇒ √19
⇒ √2² + √5²
⇒ √4 + 5
⇒ √9
⇒ 3
⇒ √2² + 2²
⇒ √4 + 4
⇒ √8
⇒ √1² + 2²
⇒ √1 + 4
⇒ √5
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What are the correct answers?
Answer:
BAKING TINS
Step-by-step explanation:
Use the Pythagorean Theorem to solve = \(a^{2} +b^{2} = c^{2}\).
2) 8² + 6² = c²
64 + 36 = 100
\(\sqrt{100}\)
x = 10 = I
3) 10² - 9² = a²
100 - 81 = 19
\(\sqrt{19}\)
x = 4.4 = G
4) 8.8² + 3.2² = c²
77.44 + 10.24 = 87.9
\(\sqrt{87.9}\)
x = 9.4 = B
5) 27² - 24² = a²
729 - 576 = 153
\(\sqrt{153}\)
x = 12.4 = S
6) 11² - 7² = a²
121 - 49 = 72
\(\sqrt{72}\) = 8.5
13² + 8.5² = c²
169 + 72.25 = 241.25
\(\sqrt{241.25}\)
x = 15.5 = T
7) 22.1² + 14.2² = c²
488.41 + 201.64 = 690.1
\(\sqrt{690.1}\)
x = 26.3 = K
8) 32² + 41² = c²
1024 + 1681 = 2705
\(\sqrt{2705}\)
x = 52 = N
Hope it helps!
what is the value of i=1
Answer:
choice D
Step-by-step explanation:
78Find the slope of the line passing through the points (3, 8) (7, - 7)
Answer:
\(-\frac{15}{4}\)
Step-by-step explanation:
To find the slope or the gradient of a line you have to utilise the formula
\(\frac{y2-y1}{x2-x1}\)
Y₂ = -7
Y₁ = 8
X₂ = 7
X₁ = 3
So,
\(\frac{-7-8}{7-3}\)
→ Simplify
\(-\frac{15}{4}\)
By using the given points, we will see that the slope is -15/4.
How to find the slope of a line?
If we know that a given line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
\(s = \frac{y_2 - y_1}{x_2 - x_1}\)
Here the line passes through the points (3, 8) and (7, -7).
Using the above formula, we can see that the slope is:
\(s = \frac{-7 - 8}{7 - 3} = \frac{-15}{4}\)
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two years ago salim was thrice as old as his daughter and six years later he will be four years older than twice her age. how old are they now?
Two years ago, Salim's age was S - 2, and his daughter's age was D - 2. At that time, Salim was thrice as old as his daughter, so:
S - 2 = 3(D - 2)
In six years, Salim's age will be S + 6, and his daughter's age will be D + 6. At that time, Salim will be four years older than twice her age, so:
S + 6 = 2(D + 6) + 4
Now, we have a system of two equations with two variables:
1) S - 2 = 3(D - 2)
2) S + 6 = 2(D + 6) + 4
Let's start by assigning variables to the ages of Salim and his daughter. We can use "S" for Salim's age and "D" for his daughter's age.
From the first sentence of the problem, we know that two years ago, Salim was three times as old as his daughter:
S - 2 = 3(D - 2)
Simplifying:
S - 2 = 3D - 6
S = 3D - 4
Now we need to use the second sentence of the problem. In six years, Salim will be four years older than twice his daughter's age:
S + 6 = 2(D + 6) + 4
Simplifying:
S + 6 = 2D + 16
S = 2D + 10
We have two equations for S in terms of D, so we can set them equal to each other:
3D - 4 = 2D + 10
Subtracting 2D from both sides:
D - 4 = 10
Adding 4 to both sides:
D = 14
So Salim's daughter is currently 14 years old.
We can use either equation we found for S to solve for Salim's age:
S = 3D - 4 = 3(14) - 4 = 38
So Salim is currently 38 years old.
Therefore, Salim is older than his daughter by 24 years (38 - 14), and two years ago he was three times as old as she was (36 and 12). In six years, Salim will be 44 and his daughter will be 20, and he will be four years older than twice her age.
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4.49 × 10^–3 in standard form?
Answer:0.0049
Step-by-step explanation: You move the decimal 3 places to the left because its negative which gives you 0.0049
See attachment for math work and answer.
In equation F=-kx, k is commonly called the
Answer:
k is usually called the spring constant
Step-by-step explanation:
sorry if its not right, that is just what i have learned.
have a good day !!!
Emeline has a shoe box measuring 11 x6x8. Noah has one measuring 12 x 5 x 7. What is the difference is surface area
between their boxes?
Answer: 46
Step-by-step explanation:
4. A boat traveled 32 miles in 2 hours. At this rate, how many miles will the boat travel in hour?
04
A. 8 mi
B. 16 mi
C. 3 mi
D. 4 mi
Answer:
The boat will travel 16 miles in 1 hour (B)
Step-by-step explanation:
Find unit rate
32/2
Which is 16
and therefore 16/1
The empirical rule can be used to estimate some specific percentages Select one: O A. when the distribution of the data is skewed to the right. O B . when the distribution of the data is skewed to the left. O C. when the distribution of the data is approximately symmetric and bell-shaped. O D. when the distribution of the data has any shape.
The correct answer is option C, when the distribution of the data is approximately symmetric and bell-shaped.
According to the Empirical Rule, also referred to as the 68-95-99.7 Rule, for a normal distribution, roughly 68% of the data will lie within one standard deviation of the mean, 95% of the data will lie within two standard deviations of the mean, and 99.7% of the data will lie within three standard deviations of the mean.
Only when the distribution of the data is symmetric and bell-shaped does this rule hold.
The Empirical Rule cannot be used to estimate percentages if the data is skewed to the left or right.
The Empirical Rule can be used to predict the population from which the data were taken, making it a useful tool when examining data with a normal distribution.
It's crucial to remember that this rule is merely an estimation and may not be correct depending on whether the data follows a normal distribution.
Complete Question:
The empirical rule can be used to estimate some specific percentages _______.
Select one:
A. when the distribution of the data is skewed to the right.
B . when the distribution of the data is skewed to the left.
C. when the distribution of the data is approximately symmetric and bell-shaped.
D. when the distribution of the data has any shape.
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what are equations in algebra?
Olivia and Garrett each take out at $18,000 loan for a new car. Each how to repay the loan in 5 years. Olivia has interest rate 3.2% per year . Her monthly payment is $308 Because Garrett has a lower credit score he will pay an interest rate of 3.6% per year. His monthly payment will be $311. How much more will an $18,000 loan cost Garrett than Olivia.
Answer:
$180
Step-by-step explanation:
First, you have to calculate the amount that Olivia would have paid at the end of the loan which would be the result of multiplying her monthly payment for the number of payments:
Total payment= $308*(12*5)
Total payment= $308*60
Total payment= $18,480
Then, you have to calculate the amount that Garrett would have paid at the end of the loan:
Total payment= $311*(12*5)
Total payment= $311*60
Total payment= $18,660
Now, you have to calculate the difference in the amount Olivia and Garrett would have paid:
$18,660-$18,480= $180
According to this, an $18,000 loan will cost Garrett $180 more than Olivia.
what value of X makes the following question true
Answer:
B) 1/44
3/22 divided by 6 = 0.022727...
0.022727 as a fraction is 1/44.
Step-by-step explanation:
Hope it helps! =D
sin² x + cos²x = 1
Which Trigonometric Identity is given above?
- Pythagorean Identity
- Lagrange's Trigonometric Identity
- Angle Sum and Difference Identity
- Tangent Identity
The Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.
What is Pythagorean Identity?The Pythagorean Identity which tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one is known as or called a trigonometric identity.
The Pythagorean identity can be expressed as:
sin² x + cos² x = 1
This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.
Therefore the correct option is A.
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solve for x 13x + 7 = 5x - 20
Answer:
13x + 7 = 5x - 20
Step-by-step explanation:
SOLVE for X
13x + 7 = 5x - 20
-------------------------
-5x -7
------------------------
8x=-27
x= -3.375 or -27/8
Answer:
x = -27/8
Step-by-step explanation:
combine the x terms. To do this, subtract 5x from both sides. We get:
8x + 7 = -20.
Next, subtract 7 from both sides, obtaining:
8x = -27, or x = -27/8
All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?
Answer:
There were 60 kids in class.
Step-by-step explanation:
Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:
children(Tom and Jerry) = children(Shin Chan)/3
children(Tom and Jerry) = 45/3 = 15
Therefore the number of children in the class is:
children(class) = children(Tom and Jerry) + children(Shin Chan)
children(class) = 15 + 45 = 60
There were 60 kids in class.
Instructions: y varies indirectly with x. If y = 7 when x = -4, find y when a H 2. Use the forward slash (i.e.
-).
"/") for all fractions (e.g. -1/2 is the same as -
Equation: y =
Solution: y
By using the given information about the inverse relation, we will get:
Equation: y = -28/xSolution: y = -14How to get the relation between x and y?
First, we know that y varies indirectly with x, then we can write the relation as:
y = k/x.
Where k is a constant.
Then, we know that when y = 7, we have x = -4.
Replacing these we can find the value of k:
7 = k/(-4)
7*(-4) = k = -28
Then the relation between x and y is:
y = -28/x.
Now, we want to find the value of y when x = 2, then we just replace that in the above equation:
y = -28/2 = -14
So we have:
Equation: y = -28/xSolution: y = -14If you want to learn more about indirect variation:
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our environment is very sensitive to the amount of ozone in the upper atmosphere. the level of ozone normally found is 5.5 parts/million (ppm). a researcher believes that the current ozone level is not at a normal level. the mean of 13 samples is 6.0 ppm with a standard deviation of 0.9 . assume the population is normally distributed. does the data support the researcher's claim at the 0.05 level? make the decision to reject or fail to reject the null hypothesis.
The data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance, concluded with the help of a one-sample t-test.
To test whether the current ozone level is significantly different from the normal level of 5.5 ppm, we can use a one-sample t-test.
The null hypothesis is that the mean ozone level is equal to 5.5 ppm:
H0: mu = 5.5
The alternative theory is that the average ozone level exceeds 5.5 ppm:
Ha: mu > 5.5
The significance threshold will be set at 0.05.
t = (x - mu) / (s / sqrt(n)) is the test statistic for a one-sample t-test.
where x is the sample mean, is the hypothesized population mean, s represents the sample standard deviation, and n represents the sample size.
When we substitute the provided values, we get:
t = (6.0 - 5.5) / (0.9 / sqrt(13)) = 1.936
Using a t-table with 12 degrees of freedom (n-1=13-1=12) and a significance level of 0.05, the critical value is 1.782. Since our calculated t-value (1.936) is greater than the critical value (1.782), we reject the null hypothesis.
Therefore, we can conclude that the data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance.
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help pls what are the number of hours i need this before 11/20/22
a. Creating a system of equations, the length of each plan A's workout is 3/4 hour, while the length of each plan B's workout is 3/4 hour.
b. x = -8, y = 2.
How to Solve a System of Equations?Write equations of a system that represents the information given and solve accordingly.
Let the length of plan A = x
Length of plan B = y
Equation for Monday would be:
9x + 7y = 12 --> eqn. 1
Equation for Tuesday:
3x + 5y = 6 --> eqn. 2
Multiply eqn. 1 by 3 and eqn. 2 by 9
27x + 21y = 36 --> eqn. 3
27x + 45y = 54 --> eqn. 4
Subtract the equations:
-24y = -18
y = -18/-24
y = 3/4
Plan B's length of workout is: 3/4 hour.
Substitute y = 3/4 into equation 2:
3x + 5(3/4) = 6
3x + 15/4 = 6
3x = 6 - 15/4
3x = 9/4
12x = 9
x = 9/12
x = 3/4
Length of plan A's workout is: 3/4 hour.
b. 2x + 4y = -8 --> eqn. 1
-2x + 3y = 22 --> eqn. 2
Add both equations together:
7y = 14
y = 2
Substitute y = 2 into equation 1:
2x + 4(2) = -8
2x + 8 = -8
2x = -8 - 8
2x = -16
x = -16/2
x = -8
The solution is: x = -8, y = 2.
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PLSS HELPP 25 POINTS AND BRAINLIEST
Answer:
2((5 x 1 1/5) + (5 x 3) + (1 1/5 x 3))
2(6 + 15 + 18/5)
2(24.6)
49.2 or 49 1/5
Answer:
49.2
Step-by-step explanation:
There are 6 sides in total. And the six sides include: 1 1/5, or 1.2x3+1.2x3+3x5+3x5+5x1.2+51x1.2. This then gives 3.6+3.6+15+15+6+6, which is 49.2 Hope this helps!
Brainly pls!
Find the measure of the angle of elevation of the sun when a pole 35 feet tall casts a shadow of 47 feet long. Round your answer to the nearest tenth.
Answer:1.3
Step-by-step explanation:
find the area of the semicircle
Answer:
77 this answer is rounded to the nearest tenth
Step-by-step explanation:
The formula for the are of a circle is A=πr² so thats π7² which is equaled to about 153.9 since this is a semicircle you'd divide that by two giving you 76.96902.
Quadrilateral A'B'C'D'is a rotation of quadrilateral ABCD 180° about the origin.
What is the length of A'B'?
A. 6 units
B. 7 units
C. 3 units
D. 4 units
Answer:
Answer- B, 7 units
Step-by-step explanation:
I took the quiz
A.P.E.X
The length of side A'B' is 7 units, so the correct option is B.
What is the length of A'B'?We know that the side length is invariant under rotations, that means that the equivalent sides of the preimage and the image have equal length, then:
AB = A'B'.
We can see that AB= 7, then we can conclude that the correct option is B.
A'B' = 7 units.
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Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.
Answer:
hope this helps
Step-by-step explanation:
9+6(10-7x)
=9+60-42x
=69-42x
In a family with 7 children, excluding multiple births, what is the probability of having 7 boys? Assume that a girl is as likely as a boy at each birth. Let E be the event that the family has 7 boys, where the sample space S is the set of all possible permutations of girls and boys for 7 children. Find the number of elements in event E, n(E), and the total number of outcomes in the sample space, n(S). n(E) = n(S)=
The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.
To find the probability, we need to calculate n(E) and n(S).
In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.
This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.
Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.
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Put these numbers in order from greatest to least.
-63-3-10
20
Submit
4
-6--15
25
612
16
6
6²
40
When using the rational root theorem which of the following is a possible root function below
The possible rational roots are
\(=\frac{\text{factors of the constant}}{\text{factors of the lead coefficient}}\)The constant is 14, and its factors are:
\(\pm1,\pm2,\pm7,\pm14\)The lead coefficient is 1, and its factors are:
\(\pm1\)Then, the possible rational roots for this equation are
\(\frac{\pm1,\pm2,\pm7,\pm14}{\pm1}=\pm1,\pm2,\pm7,\pm14\)Since, 7 is a possible rational root, the answer is option C
In the number .75, which number is in the tens place?
5
OOOO
75
7
Answer:
7 is in the tens place because 5 holds the place value of ones in the number 75
Answer:
7
Step-by-step explanation:
number 7 is in the tens place because the order goes ten's..... hundreds........ thousands..... and so on
Anyone know that answer?
Answer:
Graph C
Step-by-step explanation:
In Graphs A and B, as x approaches negative infinity, the value of the function approaches positive infinity.
In Graph C as x approaches negative infinity, the value of the function approaches negative infinity.
Answer: Graph C
A dependent variable is the variable that we wish to predict or explain in a regression model. True False
True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.
In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.
The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.
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PLEASE HELP ASAP ASAP THIS WAS DUE HALF A WEEK AGOO ILL GIVE YOU BRAINLEIST AND 15 POINTS
Answer:
Step-by-step explanation:
First Page
1.) 66 white beads
2.) 192 people
3.)
4.) 9 students
That's for the first page
Second Page
2.) 4:1
3.) 2:3
4.) Make 5 grey circles and one white circle
5.) make 6 grey circles and 3 white circles
6.)
Pencil 2; Sticker 3
Pencil 4; Sticker 6
Pencil 6; Sticker 9
Pencil 8; Sticker 12
7.)
Blue 5; Silver 1
Blue 10; Silver 2
Blue 15; Silver 3
Blue 20; Silver 4