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kipiarov [429]
2 years ago
14

Find the lateral area of the prism. Use the 10 by 6 rectangle as the base.

Mathematics
1 answer:
aleksandrvk [35]2 years ago
3 0

Answer:

lateral area =150 square feet

Step-by-step explanation:

lateral area =(perimieter of prism base) times the height of the prism

so, the perimeter of the base is 9 ft*2 + 6 ft*2 which equals 30 ft

then you multiply the perimeter of the base by the height of the prism

so, height of prism =5 ft, so 5 ft times 30 ft =150 feet

therefor, the lateral area of the prism = 150 feet squared

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Emily is solving the equation 2(x+9)=4(x+7)+2 where did she make an error
Wittaler [7]
Hello!

2(x + 9) = 4(x + 7) + 2

Distribute the 2

2x + 18 = 4(x + 7) + 2

Distribute the 4

2x + 18 = 4x + 28 + 2

Combine like terms

2x + 18 = 4x + 30

Subtract 18 from both sides

2x = 4x + 12

Subtract 4x from both sides

-2x = 12

Divide both sides by -2

x = -6

Where she did something different than me is her mistake

Hope this helps!
6 0
3 years ago
Write 1 2 3 to order from shortes to longest
Drupady [299]
1 then, 2 finally, 3
7 0
3 years ago
Read 2 more answers
Question<br> What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
vlada-n [284]

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

           = RS / RT

           = ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of  sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2  ) =  ( 2 / √3 )

Divide by ( √3 / 2  ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

To learn more about trigonometric equations click :

brainly.com/question/14746686

#SPJ1

5 0
9 months ago
Please answer this correctly which is the correct options
MakcuM [25]

The first two are equivalent to 15 = k + 13

8 = k + 13 - 7 → ( add 7 to both sides )

8 + 7 = k + 13 ⇒ 15 = k + 13 ' is equivalent '

12 = k + 13 - 3 → ( add 3 to both sides )

12 + 3 = k + 13 ' is equivalent '


4 0
3 years ago
40% =32/ what is the full fraction
Levart [38]
40% = 32/x

Rewrite using a decimal

.40 = 32 / x

Multiply both sides by x
.40x = 32

Divide both sides by .40
x = 32 / .40
x = 80

Write the full fraction
32/80

Answer 32/80

3 0
2 years ago
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