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irinina [24]
3 years ago
7

What is the volume of the rectangular prism?

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Answer:

189 yards cubed, hope this helped! :D

Step-by-step explanation:

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If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?
torisob [31]

Answer:

The length is 600 ft

Step-by-step explanation:

We can solve this by applying the Pythagorean theorem

a^2 + b^2 = c^2

The hypotenuse (diagonal path) is 750

750 represents c, 750^2 is 562500

We also know the width (one side of the triangle)

450 can represent a, 450^2 is 202500

202500 + b^2= 562500

We can subtract 202500 on both sides to isolate the b^2

b^2= 360000

Square root both sides of the equation

B= 600

The length is 600 ft

7 0
4 years ago
The roof on Crystal’s house is formed by two congruent trapezoids and two congruent isosceles triangles. She wants to put new wo
NeTakaya

Answer:

the total number of shingles is 3060

Step-by-step explanation:

Please have a look at the attached photo.

We need to find the total are of the roof.

The are of the trapezoid is:

  • A = 1/2 (base 1 + base 2) height

= 1/2 (20+30)*15

= 375 ft^{2}

The are of the triangle:

  • A = 1/2*base*height

= 1/2(1.5*10)

=  7.5 ft^{2}

=> We need to find the total are of the roof is:

The are of the 2 trapezoids + The are of the 2 triangles

=  375 ft^{2}*2 + 7.5 ft^{2} *2

= 765 ft^{2}  

Given in the question that, the shingles are 1 foot by 1 foot, but they overlap by 0.75 square foot so the usable area of the shingle is only 0.25 ft^{2}

So the total number of shingles is:

765 ft^{2}  / 0.25 ft^{2}  

= 3060

3 0
3 years ago
Solve for x. x = [?] 5x - 7/3x + 27 ..​
ArbitrLikvidat [17]

Answer:

x = 20

Step-by-step explanation:

the angles shown are supplementary

supplementary angles add up to 180°

hence, 5x - 7 + 3x + 27 = 180

==> combine like terms

8x + 20 = 180

==> subtract 20 from both sides

8x = 160

==> divide both sides by 8

x = 20

3 0
3 years ago
3. Al Capitán le venden tela de forma rectangular para hacer otro velero, el lado de menor longitud de la tela seria de 3,3m y c
Orlov [11]
Sorry I’m unable to understand do you want an English translation
6 0
4 years ago
Which counterexample shows that the conjecture "all mammals live on land" is false?
katen-ka-za [31]

Answer:

B. A whale is a mammal that does not live on land.

Step-by-step explanation:

Self explanitory

4 0
3 years ago
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