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Mandarinka [93]
3 years ago
7

The base of a bicycle ramp has an area of 4 square feet. The ramp is a triangular prism. If the ramp has a height of 2 1/2 feet,

what is the volume of the ramp?
Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:


Step-by-step explanation:

In general:

Volume = (the area of the base of the figure) times (the figure's height)

Here, the area of the base is 4 square feet, the height is 2 1/2 foot = 5/2 foot

Our Volume is then:

4 square feet * 5/2 foot = 10 cubic feet

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Use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1
Leto [7]

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

5 0
2 years ago
A company sells kitchen toys for kids, including artificial carrots that are cone shaped with a radius of 1 cm and a height of 6
sdas [7]

Answer:

Total space in the box is 75.2 cm³.

Step-by-step explanation:

Cone:

  • It is three dimension shape.
  • It has a vertex.
  • The slant height of a cone l^2=r^2+h^2, l= slant height, r= radius of the base, h= height
  • The lateral surface area is πrl
  • The volume of a cone is \frac13 \pi r^2h.

The artificial carrot that are cone shaped with a radius 1 cm and a height of 6 cm.

So, the volume of the cone is =\frac13 \pi r^2h

                                                =\frac13 \pi (1)^2.6

                                                =2\pi cm³

The volume 1 dozen carrots is = (12×2π)   cm³

                                                  =75.4 cm³

The volume of the box= The volume of the 1 dozen carrot.

Total space in the box is 75.2 cm³.

4 0
3 years ago
1. (a) Show that 487 is prime. (b) Find the prime factorization of 2922. Show all working.
Tresset [83]

Answer:

Step-by-step explanation:

487 is a prime, because 487 is only divided by 1 or by itself

5 0
2 years ago
Help me please and thanks!!
Yuki888 [10]

Answer:

Step-by-step explanation:

11 t= -5   17 r = 27

12 n= -1   18 k = -20

13 m=-5  

14 x= - 11

15 y = 70

16 f = - 70

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=5xy%20%5Ctimes%2015xy" id="TexFormula1" title="5xy \times 15xy" alt="5xy \times 15xy" align="a
OleMash [197]
Bro I’m so tired of those people answering with links
7 0
2 years ago
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