Find the area of the parallelogram below by decomposing into two triangles. The figure is not drawn to scale.
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Answer:
Step-by-step explanation:
area of a triangle = (½)(base)(height)
You can divide the parallelogram into two congruent triangles with base = 8 mi and height = 10 mi.
area of each triangle = (½)(8)(10) = 40 mi²
area of parallelogram = 2(40) = 80 mi²
Related Questions
Use transformations of f(x) = x² to graph the following function.
g(x) = x² +5
Select all the transformations that are needed to graph the given function using f(x)= x?.
A. Shift the graph 5 units down.
B. Reflect the graph about the x-axis.
C. Shift the graph 5 units up.
D. Reflect the graph about the y-axis.
E. Shrink the graph vertically by a factor of 5.
F. Shrink the graph horizontally by a factor of 5.
G. Shift the graph 5 units to the left.
H. Shift the graph 5 units to the right.
I. Stretch the graph vertically by a factor of 5.
J. Stretch the graph horizontally by a factor of 5.
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Answer:
C. Shift the graph 5 units up.
Step-by-step explanation:
vertical translation 5 units up
Explain why VxVx = x for all x > 0.
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Please inform me with more information so i can help you.
I need more information about for I can help?
unit 10: circles Homework 4: Inscribed angles. please complete the following questions and explain how it is done.
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Answer:
Step-by-step explanation:
5. angle FDE = 180-90-63 = 27°
arc FE = 2×27 = 54°
6. arc GJ = 360-68-31-115 = 146°
angle GHJ = 146/2 = 73°
7. angle GIJ = 146/2 = 73°
8. arc DAB = 2×101 = 202°
arc BCD = 360°-202 = 158°
angle A = 158/2 = 79°
angle B = 360-79-110-68 = 112°
10. see picture
5) The sum of angle in the triangle DEF is 180 degrees
mFE = <D
Recall that <D+<E+<F = 180⁰
<D+63+90 = 180
<D = 180-153
<D = 27 degrees
Hence the measure of arc FE is 27degrees
6) For this circle geometry, we will use the theorem
The sum of Opposite side of a cyclic quadrilateral is 180 degrees.
A + C = 180
m<A + 101 = 180
m<A = 180-101
m<A = 79degrees
Similarly
B + D = 180
m<B + 68 = 180
m<B = 180-68
m<B = 112degrees
7) The sum of angle in a circle is 360, hence;
arcGJ+68+31+115 = 36p
arcGJ = 360 - 214
arcGJ = 146⁰
Since the angle at the centre is twice angle at the circumference, then;
<GHJ = 1/2 arcGJ
<GHJ = 1/2(146)
<GHJ = 73⁰
<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)
8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.
P + R = 180
57 + <R = 180
m<R = 180-57
m<R = 123degrees
Similarly, m<Q+m<S = 180⁰
Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)
m<S = 180 - 90
m<S = 90 degrees
Learn more here: brainly.com/questions/11325504
What’s the area? Please help!!
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The area of the triangle can be found by A = 1/2bh
So the area will be 1/2 times (6+14+6= 26) 26 times 21
The area of the triangle will be 273 ft^2
The area of the square will be A=lxh
So the area will be 14 times 14
So the area of the square will be 196 ft ^2
We then add the area of both shapes together to get the total area
273 + 196 = 469 ft^2
9514 1404 393
Answer:
469 square yards
Step-by-step explanation:
The area of the triangle is ...
A = 1/2bh
A = 1/2(6+14+6)(21) = 273
The area of the square is ...
A = s^2 = 14^2 = 196
The total area of the figure is the sum of the parts.
273 +196 = 469 . . . square yards
What value should n represent in order for the expression
2(x - n) to be equivalent to your expression 2x - 12?
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Answer:
6
Step-by-step explanation:
[tex]\frac{12}{2}[/tex]=6
How many bags of topsoil does Betsy need to cover her flower bed?
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Answer:
3 bags of topsoil is needed
Step-by-step explanation:
base = 20m
height = 6 m
Area of flower bed = [tex]\frac{1}{2}*base*height\\[/tex]
[tex]= \frac{1}{2}*20*6\\\\= 10*6\\= 60 square feet[/tex]
Number of bags= Total area of flower bed ÷ 20
= 60 ÷ 20
= 3
[tex]82.5.5. \div \times 552.6365 |. < 5 \geqslant 6 > { {0}^{?} }^{2} | [/tex]
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Sally makes $9.15 per hour. If she works 3.5 hours, how much money will she make?
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Answer:
$12.65
Step-by-step explanation:
i caculated that
answers needed nowwwwwwwww
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A computer program found that the line c=2t−89c=2t−89c=2t−89 is a good fit for the data. Use this equation to predict how many cups of lemonade Lin might sell on a day when the high temperature is 74 degrees.
Answers
Answer:
58cups
Step-by-step explanation:
Given the equation for the line as c = 2t - 89
If the temperature is 74 degrees, then we can find the number of cups at this temperature;
Substitute t = 74 unti the expression
x = 2(74) - 89
c = 147 - 89
c = 58cups
Hence the number of cups of lemonade is 58cups
PLEASE HELP ME! 5TH GRADEThe solid figure is separated along the dotted line into two rectangular prisms. What are the volumes of the two rectangular prisms? What is the volume of the solid figure? Use the drop-down menus to show your answer. A solid is made up of 2 rectangular prisms. The total length of the solid is 20 inches. First rectangular prisms has a height of 5 inches, and width of 4 inches. Second rectangular prisms have 4 inches, a height of 8 inches, and a width of 4 inches. The volume of two rectangular prisms are Choose... cubic inches and 128 cubic inches. The volume of the solid figure is Choose... cubic inches.
Answers
The volume of the solid figure is the amount of space in it
The volume of the solid figure is 448 cubic inches
How to determine the volume of the figures?For the first rectangular solid, we have:
Height = 5 inchesWidth = 4 inchesLength = 16 inchesSo, the volume is:
Volume = 5 * 4 * 16 cubic inches
Volume = 320 cubic inches
For the second rectangular solid, we have:
Height = 8 inchesWidth = 4 inchesLength = 4 inchesSo, the volume is:
Volume = 8 * 4 * 4 cubic inches
Volume = 128 cubic inches
The volume of the solid figure is then calculated as:
Volume = 320 cubic inches + 128 cubic inches
Volume = 448 cubic inches
Hence, the volume of the solid figure is 448 cubic inches
Read more about volumes at:
https://brainly.com/question/14831872
Answer:
320 and 448
Step-by-step explanation:
find the degrees of the marked angle
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Answer:
n=82
m=98
e=98
Step-by-step explanation:
n is vertical to 82
180-82=m and e because they are suplementery angles
Answer:
∠n = 82°
∠m = 98°
∠n = 98°
Step-by-step explanation:
∠n = 82° because it is alternate to 82°
total circle = 360°
∠l =∠m
2∠m = 360° - 82° - 82° = 196°
∠m = 98°
∠n = 98°
help anyone trying to get my assignments done over the weekend!!
Answers
Which graph represents the function f (x) = 3 x minus 2 Over x minus 2?
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Answer:
C
Step-by-step explanation:
Luis walked for 16 minutes. Natalie walked for w minutes. Luis walked twice as long as Natalie. How long did Natalie walk?
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Answer:
Natalie walked for 4 minutes because 16 divided by 2 is 4
Answer:
8
Step-by-step explanation:
16/2=8
Clara went to a music store and brought some CDs and DVDs. She paid $14 for each CD and $17 for each DVD. Let x represent the number of CDs that she purchased and y represent the number of DVDs.
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To solve the system of equations below, Grace isolated the variable y in the
first equation and then substituted into the second equation. What was the
resulting equation?
2y = 10x
x y²
64 36
= 1
Answers
Answer:
D
Step-by-step explanation:
2y=10x
Divide both sides by 2.
y=5x
Now substitute this into the second equation.
Answer:
b. [tex]x^2/64 - 5y^2/36=1[/tex]
Step-by-step explanation: a p e x
Jan found 24 bagels on sale for $9. She is planning to serve breakfast for her students and parents and needs 48 bagels. How much will she spend?
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Answer:
$18
Step-by-step explanation:
9 multiplied by 2 equals 18.
Hope this helps :)
If 2 cups makes 6 servings, how much makes 2 servings?
Answers
2 servings x 0.3 cups per serving= 0.6 cups
hope this helps!!
Answer:
two- thirds of a cup will Give 2 servings
What is 2 ½ divided by ½ equal too
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Answer:
it woulb be 1.25
tan of theta= -12/5 and it’s in quadrant 4
Find the exact values of sin theta/2 and the tan of theta/2
Answers
Answer:
sin θ/2 = ± √2/13
Step-by-step explanation:
tan θ = - 12/5 (in quadrant 4) sin θ = - 12/13 and cos θ = 5/13
sin θ/2 = ± (√1 - cos θ) / 2 = ± (√1 - 5/13) / 2 = ± √8/13 / 2 = ± √2/13
tan θ/2 = (1 - cos θ) / sin θ = sin θ / (1 + cos θ)
Let you to calculate the tan θ/2 part by yourself
Can someone help me with this plz??
Answers
Answer:
f(-3) = -2(-3)^3 - 3
f(-3) = 54 - 3
f(-3) = 51
g(3) = -5(3) + 4
g(3) = -15+4
g(3) = -11
Hope this helps!
Factor the expression
Answers
Answer:
6 (2[tex]x^{3}[/tex] - 3)
Step-by-step explanation:
12[tex]x^{3}[/tex] - 18
Greatest Common Factor:
6
12 / 6 = 2
18 / 6 = 3
6 (2[tex]x^{3}[/tex] - 3)
which table represents a function?
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There are 6 pretzel sticks. 5 friends want to share them evenly. How much would each friend get?
oShow your answer two different ways.
Use your draw tool.
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Well, there is one for you, the. there is your five friends which both recieve one. if you don't want to give one to yourself and just ur friends you divide 6 and 5 they all would get 1.2
Can you help A B C Or D image is here
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Answer:
A
Step-by-step explanation:
Can anyone help me please
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Answer:
4x-8=2x+4
x=6
Step-by-step explanation:
Help please!!!
I’m failing math and I need help
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Answer:
3.
vertically opposite angles ,
= 30°
4. 50° +30°+2x = 180°
80°+2x=180°
2x=180°-80°
2x=100°
Fill in the blanks with a positive or negative Integer
6 ) Sandy has to pay a 12 dollar penalty for driving too fast. ______
7 ) Joan has forty-one orange balloons in her collection. ______
8 ) There are twenty-eight popular trees currently in the park. ______
9 ) Tom has forty-two books in his library. ______
10 ) Nancy found 17 seashells on the beach during her vacation. ______
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Answer:
6) -
7) +
8) +
9) +
10) +
Step-by-step explanation:
Which point does not lie on the graph of x + 7y = 7?