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algol13
2 years ago
6

An oblique triangular pyramid has a base area

Mathematics
1 answer:
lubasha [3.4K]2 years ago
5 0

The height of the oblique triangular pyramid is 18 units if the base area of 21 square units and a volume of 126 cubic units.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of an oblique triangular pyramid is given by:

\rm V = \dfrac{1}{3}b\times h

Where b is the area of the base and h is the height of the pyramid.

We have b = 21 square units  and V =  126 cubic units.

\rm 126 = \dfrac{1}{3}\times21\times h

h = 18 units

Thus, the height of the oblique triangular pyramid is 18 units if the base area of 21 square units and a volume of 126 cubic units.

Learn more about the volume here:

brainly.com/question/16788902

#SPJ1

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n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac
JulsSmile [24]

Answer:

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out  if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis                             H₀            μ    =    μ₀

Alternative Hypothesis                Hₐ             μ    ≠    μ₀

Significance Level   α  = 0,05    α/2  =  0,025

z(c) for α/2   from z-table      z(c)  = - 1, 96   and by symmetry  z(c) = 1,96

Calculating  z(s)

z(s) =  ( μ  -  μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c)  and  z(s)

z(s) > z(c)       2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

8 0
3 years ago
Identify the solution of each equation from the list given.
sp2606 [1]

Answer:

1.) The answer is b = 6

2.) The answer is t = 10

Step-by-step explanation:

For the first equation in order to fin out the answer we do.....

b + 8 = 14

b + 8 - 8 = 14 - 8

b = 6

For the second question we do....

25 - t = 15

25 - t + t = 15 + t

25 = 15 + t

25 - 15 = 15 + t -15

10 = t

4 0
3 years ago
228 + 6 =<br> R<br> What is the quotient
cricket20 [7]

228 + 6 = 224 + 6 + 4 = 230 + 4

= 234

Answer: 234

ok done. Thank to me :>

4 0
2 years ago
Jose had 4 times as many trading cards as Philippe. After Jose gave away 50 cards to his little brother and Philippe gave 5 card
tensa zangetsu [6.8K]

Answer:

Jose had 60 cards

Phillipe had 15 cards

Step-by-step explanation:

Let the number of trading cards Phillipe had be x. Jose had 4 times, meaning he has 4x of these cards.

Jose gave away 50 cards while Phillipe gave away 5 cards to make their numbers equal.

Mathematically:

4x - 50 = x - 5

3x = 45

x = 45/3 = 15

Phillipe had 15 cards while Jose had 15(4) = 60 cards

5 0
3 years ago
Which statement is true?
Y_Kistochka [10]

Answer:

D

Step-by-step explanation:

15 + 2x + x + 3 = 3x + 18

hope this helps

3 0
3 years ago
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