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WITCHER [35]
3 years ago
15

What is the volume of the right prism?

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

First find the area of the triangle using the formula Area = 1/2 x Base x height.

Area = 1/2 x 8 x 15 = 60

Now multiply the area by the length of the prism:

60 x 10 = 600


The volume is 600 in^3.

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A batman costume costs $20. A harlequin costume costs twice as much as the batman costume. How much does a harlequin costume cos
Gnoma [55]

Answer:the harleyquin costume would cost 40 $

Step-by-step explanation: as given the batman costume costs 20$. so 20 times 2 equals 40$.

20*2= 40$

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What is the probability that the sun will not rise Tomorrow plz explain?
Luba_88 [7]

Answer:

the sun may rise or will not rise , so there are 2 chances

Step-by-step explanation:

so the probability is 1/2=0.5

6 0
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Which of the following statements is true if m∠E = m∠Y and m∠F = m∠X?
mars1129 [50]

Answer:

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX

Step-by-step explanation:

see the attached figure to better understand the problem  

we know that  

If m∠E = m∠Y and m∠F = m∠X  

then  

Triangles EFG and YXZ are similar by AA Similarity Theorem  

Remember that  

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent  

In this problem  

The corresponding sides are  

FE and XY  

EG and YZ  

GF and ZX  

so therefore  

segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX Firstly , let us learn about trigonometry in mathematics.  

Suppose the ΔABC is a right triangle and ∠A is 90°.  

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

Let us now tackle the problem!  

A similar triangle has the same angle, in other words the triangle has the same shape but different sizes.  

From the figure in the attachment , we can conclude that:  

m∠E = m∠Y  

m∠F= m∠X  

m∠G = m∠Z  

∴ ΔEFG ~ ΔYXZ  ( ΔEFG is similar to ΔYXZ )    

Because of the similarity , then:  

FE : XY = EG : YZ = GF : ZX  

Conclusion:

ΔFG is similar to ΔYXZ.  

Segment FE over segment XY equals segment EG over segment YZ equals segment GF over segment ZX , i.e:    

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

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3 years ago
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LuckyWell [14K]

Answer:

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Step-by-step explanation:

7 0
3 years ago
An architect designed this scale model of a warehouse for a building contractor.
Annette [7]

tl;dr Answer is C

Here we will have to calculate 3 different areas separately.

When calculating the area of the triangle we will use the formula

A = (h*b)/2  

A = Area

h = height

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23 - 15 = 8 ft

To find the base we do Y - W

19 - 13 = 6 ft

Using the formula above we can now solve for A  

A = (8*6)/2

A = (48)/2

A = 24 sq ft

Now we solve the two rectangles using the formula  

A = wl

w = width

l = length

We will calculate the area of the left most rectangle first.

We know the length of the rectangle because it's Y - W and we are given the width of the triangle.

w = 15 ft

l = 6 ft

A = 15*6

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Second Rectangle has the width of X and length of W

w = 23 ft

l = 13 ft

A = 23 * 13

A = 299 sq ft

Now we add all the areas to give us the total area of the warehouse.

24 + 90 + 299 = 413 sq ft

Therefore, the answer is C

5 0
3 years ago
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