Answer:
M: (-12,-19) N:(20,5)
Step-by-step explanation:
M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.
20-(-3)= 23
Use the distance to find the coordinates.
-4+23= 19
N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.
-12-(-3)=-9
Use the distance to find the coordinates.
-4+9= 5
Answer:
N=(20,5)
M=(-12,19)
Step-by-step explanation:
Rectangular Coordinates
The diagram shows two identical and rotated triangles (assumed as right triangles).
We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.
The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.
The coordinates of M are (-12,y), where y = -4+23 = 19.
M=(-12,19)
The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.
The coordinates of N are (20,-4+9) = (20,5)
N=(20,5)
What is the value of for −6a−3 b2 for a = −2 and b = 4?
Step-by-step explanation:
given,
a = -2
b = 4
given expression,
-6a - 3b²
now,
-6(-2) - 3(4)²
12 - 3(16)
12 - 48
-36 ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
Daisy has 23 meters of rope. She wants to know how much that is in inches. There are approximately 2.5 centimeters in 1 inch. What is the best estimate to the number of inches in 23 meters
QUESTION 22
Change the following improper fractions into mixed numbers or whole numbers.
25/20 =
Answer:
1 1/4
Step-by-step explanation:
25/20=5/4=1 1/4
Hope this helps, thanks!
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
PLEASE HELP I NEED THIS
Answer:
See below.
Step-by-step explanation:
1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute
2) 2 congruent sides and a right angle: right isosceles
3) 2 congruent sides and an obtuse angle: obtuse isosceles
4) 1 obtuse angle and all different lengths of sides: obtuse scalene
5) 1 right angle and all different side lengths: right scalene
6) 2 congruent sides, all acute angles: acute isosceles
7) x + 2 = 10
x = 8
8) 10x + 3 + 10x + 3 + 34 = 180
20x + 40 = 180
20x = 140
x = 7
Round 7952 to the nearest thousand. Enter your answer in the box below.
Notice that in the number 7952, the column of the "thousands" is that occupied by the number 7.
I order to round it to the thousands', we need to write ONLY a representing number in that column and zeros in the other following three columns.
Notice as well that the number 7 is followed bi a number 9 in the column of the hundreds. then we round the 7 to the following integer (8), and write:
7952 rounded to the nearest thousand is 8000
Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
\(P(t) = P(0)e^{rt}\)
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that \(P = 60000, r = 0.01125, t = 6\)
So
\(P(6) = 60000e^{0.01125*6} = 64190\)
The balance of the account is $64,190.
Find the amount of each payment R for a t= 18 year loan with principal P = $18,000 and interest rate r = 9% compounded monthly. Round your final answer to two decimal places.
The amount of each payment to 2 decimal places = $90406.80
Explanation:
t = 18 year
Principal = P = $18,000
r = 9% 0.09
Using compound interest formula:
\(FV\text{ = P(1 + }\frac{r}{n})^{nt}\)n = number of times it was compounded in a year.
since it is monthly, n = 12
\(\begin{gathered} FV\text{ =future value} \\ FV\text{ = 18000(1+ }\frac{0.09}{12})^{12\times18} \end{gathered}\)\(\begin{gathered} FV=18000(1+0.0075)^{216} \\ FV\text{ = }18000(1.0075)^{216} \\ FV\text{ = 18000}\times5.0226 \\ FV\text{ = 90406.8} \end{gathered}\)The amount of each payment to 2 decimal places = $90406.80
Somebody help!!
Drop down option for both sin(A) and cos(A) is
Sin(C)
Cos(C)
Cos(B)
Tan(A)
Sin(B)
Answer:
Step-by-step explanation:
sin(A) = cos(C) = 9/41
cos(A) = sin(C) = 40/41
Which expression is equivalent to
The expression is equivalent to 2 , option C is the right answer.
What is an Expression ?An expression in maths is a statement that contains , constants , variables and mathematical operators.
The expression given in the question is
\(\rm \dfrac { 4^{\frac{5}{4}} * 4^{\frac{1}{4}}} {4^{\frac{1}{2}}}\)
Applying exponent rule
\(\rm a^m * a^n = a^{m+n}\)
\(\rm \dfrac { 4^{\frac{5}{4} +\frac{1}{4}}} {4^{\frac{1}{2}}}\)
Applying exponent rule
\(\rm \dfrac{a^m}{a^n} = a^{m-n}\)
\(\rm { 4^{\frac{5}{4} +\frac{1}{4} -{\frac{1}{2}}}\)
On solving the exponents
=(6/4) -(1/2)
=4/4
=1
=\(\rm 4^{\frac{1}{2}}\)
= 2
Therefore the expression is equivalent to 2 , option C is the right answer.
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Given 1 || m ||
|| n, find the value of x.
(x-6)⁰
60⁰
1
m
n
The value of x in the lines is 126 degree
We are given that;
Three parallel line and one intersecting line
Angles= (x-6) and 60
Now,
By supplementary angles property
Angle 1 + Angle 2 = 180 degree
Substituting the values of angles
x-6 + 60 = 180
x + 54 = 180
x = 180-54
x = 126
Therefore by supplementary angles answer will be 126 degree.
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How can you use mental math to multiply two numbers?
Answer: Break the numbers you're multiplying into parts.
Step-by-step explanation:
What I find helps is splitting up the numbers and later adding them back together. An example of this is:
29×14
First I'd do 29×10, and get 290
Then 20×4, followed by 9×4, resulting in 80 and 36 respectively
Finally, 290+80+36= 406
I find the simplest numbers in the problem (2,5,10,20, etc.) and multiply from there. This may not be the best trick, but this is what I find helps. I hope this may help you too, and I wish you the best of luck.
f(x)=-x^2=60x-116 find vertex and x intercepts
There are 4 blue, 2 red, 1 brown, 1 black, 1 white, and 3 green crayons in a box.
What is the probability of picking a red crayon, putting it back, and then picking
a second red crayon?
Answer:
2/12
Step-by-step explanation:
Simply just Add the different amounts of different crayons as your denominator, and find the number of red, as your numerator. This gets you 2/12
Find the Prime Factorization of -165
Answer:
(-1)(11)(3)(5)
Step-by-step explanation:
First off: -165 separates into the factors (-1) and (165). Next, we divide 165 by 15, obtaining 15(11).
So far, we have (-1)(11)(15).
15 is still factorable. We get:
(-1)(11)(3)(5), which is the desired prime factorization of -165.
An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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which expression is equal to 3/4 [8x + 16]
a. 3x + y
b. 3x + 6
c. 4x + 13
d 6x + 12
e. 9x - 2
Answer:
Considering the expression as
\(\dfrac{3}{4} \cdot [8x+16]\)
We have
\(\dfrac{3}{4} \cdot [8x+16] = \dfrac{3}{4} \cdot 8x + \dfrac{3}{4} \cdot 16 = \boxed{6x + 12}\)
Please help.answer choices : • center g and scale factor ⅓• center e and scale factor ¼• center e ane scale factor 3 • center g and scale factor 4
center E and scale factor of 1/4 (option B)
Explanation:The two shapes are similar. The ratio of corresponsding sides are equal.
Scale factor = new length/original length
DEFG is the original image
D'E'F'G' is the new image
original length = EF = 2 + 6 = 8
new length = E'F' = 2
Scale factor = 2/8
Scale factor = 1/4
The centre of both shapes is at E
Hence, the answer is center E and scale factor of 1/4 (option B)
Which statement must be correct?
A.
B.
C.
D.
Answer:
A suits the most
Step-by-step explanation:
Answer:
D. RS intersects PQ at point R
Step-by-step explanation:
How do you know that segment AD is congruent to segment BC ? Lesson (2-1)
Two line segments are said to be congruent if, regardless of their orientation or position, their lengths are the same.
What are congruent Triangles ?If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent.
What are Two congruent Sides ?Two sides that are the same length make up an isosceles triangle .In addition, it contains two equal-sized angles located across from the two sides of equal length. A triangle with three identical sides is called an equilateral triangle.
So
According to the given information
Segment AD = Segment BC
Two line segments are said to be congruent if, regardless of their orientation or position, their lengths are the same.
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Choose all the graphs that are best for displaying numerical data.
histogram
circle graph
box-and-whisker plot
bar graph
stem-and-leaf plot
scatter plot
line graph
Please help me
Answer:
I just did this
histogram
stem-and-leaf plot
box-and-whisker plot
scatter plot
line graph
are all the "numerical" choices for recording data
Step-by-step explanation:
Bar and circle graphs compare things, or categories, while the rest involve numbers.
Let a1, a2, a3, ... be a non-constant arithmetic
sequence. (That is, not all the terms are the
same.) Suppose that a4, a7, a12 form a
geometric sequence. If a7 = 30, what is a₁?
Arithmetic sequence and Geometric sequence a₁ is an integer, the numerator must be divisible by -21.
Let's denote the common difference of the arithmetic sequence as 'd' and the common ratio of the geometric sequence as 'r'.
Since a4, a7, and a12 form a geometric sequence, we can express the terms as follows:
a4 = a₁ + 3d
a7 = a₁ + 6d
a12 = a₁ + 11d
We know that a7 = 30, so we can substitute it into the equation:
a₁ + 6d = 30
Now, let's examine the ratio between consecutive terms in the geometric sequence:
(a7 / a4) = (a12 / a7)
Substituting the expressions for the terms, we get:
[(a₁ + 6d) / (a₁ + 3d)] = [(a₁ + 11d) / (a₁ + 6d)]
Cross-multiplying, we have:
(a₁ + 6d)(a₁ + 6d) = (a₁ + 3d)(a₁ + 11d)
Expanding the equation, we get:
a₁² + 12ad + 36d² = a₁² + 14ad + 33d²
Simplifying and rearranging terms, we obtain:
2ad = -3d²
Since the sequence is non-constant, the common difference 'd' cannot be zero. Therefore, we can divide both sides of the equation by 'd':
2a = -3d
Substituting the value of 'd' from the equation a₁ + 6d = 30, we have:
2a = -3(a₁ + 6d)
Expanding and simplifying:
2a = -3a₁ - 18d
Now, we can substitute the value of 'd' from the equation a₁ + 6d = 30:
2a = -3a₁ - 18(a₁ + 6d)
Expanding and simplifying further:
2a = -3a₁ - 18a₁ - 108d
Since a₁ + 6d = 30, we can substitute it again:
2a = -3a₁ - 18a₁ - 108(a₁ + 6d)
Expanding and simplifying:
2a = -3a₁ - 18a₁ - 108a₁ - 648d
Combining like terms:
2a = -129a₁ - 648d
Now, we can substitute the known value of a₇ = 30 into the equation a₁ + 6d = 30:
a₁ + 6d = 30
Rearranging the equation:
a₁ = 30 - 6d
Substituting this into the previous equation:
2a = -129(30 - 6d) - 648d
Expanding and simplifying:
2a = -3870 + 774d - 648d
Combining like terms:
2a = -3870 + 126d
Now, we can substitute the value of 2a = -3a₁ - 18a₁ - 108d into the equation:
-3a₁ - 18a₁ - 108d = -3870 + 126d
Expanding and simplifying:
-21a₁ - 108d = -3870 + 126d
Rearranging the equation:
-21a₁ = 234d - 3870
Dividing both sides by -21:
a₁ = (234d - 3870) / -21
Since arithmetic sequence and geometric sequence a₁ is an integer, the numerator must be divisible by -21
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
A scientist has two solutions what she has labeled solution a and solution b each contains salt she knows that solution a is 60% salt and solution b is 85% salt she wants to obtain 70 ounces of a mixture that is 80% salt how many ounces of each solution should she use
Solving a system of equations we can see that:
She needs to use 56 oz of the 85% solution.She needs to use 14 oz of the 60% solution.How many ounces of each solution should she use?We can use the variables:
x = mass of the 60% solution.
y = mass of the 85% solution.
We can write a system of equations.
x + y = 70
x*0.6 + y*0.85 = 70*0.8
We can isolate x on the first equation to get:
x = 70 - y
Replace that in the other one:
(70 - y)*0.6 + y*0.85 = 70*0.8
Now we can solve this for y.
y*0.25 = 70*0.8 - 70*0.6
y = 14/0.25 = 56
Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.
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Ted and his friends want to rent a limousine for the dance. they have $200 to spend. the cost is a flat rate of $125 plus $10 per person. Type and solve inequality to determine how many people they can afford to use the limousine.
Answer:
7 persons
Explanation:
The cost to rent a limousine is a flat rate of $125 plus $10 per person.
If the number of persons that attends = x
Then:
\(\text{Cost}=125+10x\)Since they have $200 to spend, it means they can:
• Spend less than $200
,• Spend exactly $200
The inequality for the problem is thus:
\(125+10x\le200\)We solve the inequality for x.
\(\begin{gathered} 10x\le200-125 \\ 10x\le75 \\ x\le7.5 \end{gathered}\)Therefore, the number of people they can afford to use the limousine will be 7.
The table below provides the values of the functions g(t) and h(t) for
several values of t.
Which of the following is a solution to the equation f(t)=h(t)
Answer:
D) t = 5
Step-by-step explanation:
when t =5 both functions have the same x and y value
Type your answers into the boxes.
Convert 187 cm to metres.
1.87
metres
How many grams are there in 88.9 kg?
grams?
Answer:
In 88.9 kg, There are 88,900 grams.
Step-by-step explanation:
88.9 x 1000 = 88900
Answer:
88900 grams..
Step-by-step explanation:
To convert Kilograms to Grams, we have to multiply 1000 to it because,
1Kg = 1000g
so, 88.9kg = 88.9 × 1000
so it gives us 88900 grams
What is the slope of the line described by 2x - y = 6?
A. m = 2
B. m = -2
C. m = 1/2
D. m = -1/2
Answer:
A
Step-by-step explanation: