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2 years ago

A triangular prism has a base that is 15 cm2. Its height is 6 cm. What is its

Mathematics

1 answer:

Effectus [21]2 years ago

6 0

We know any prism has the below formula if volume

Area of base×Height

Here

Area of base=15cm^2
Height=6cm

$\\ \rm\hookrightarrow V=15(6)=90cm^2$

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7. When dy/dx = (x -6)1/2, what does y equal?

Sergio039 [100]

The answer is below
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multiply both sides by dx

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3 years ago

Simplify: 18q2−45q+25/9q2−25.

Svet_ta [14]

Answer:

$\frac{(6q-5)}{(3q+5)}$

Step-by-step explanation:

Given: $\frac{18q^{2}-45q+25 }{9q^{2}-25 }$

Factorizing the numerator and the denominator, we have:

18 $q^{2}$ - 45q + 25 = 18 $q^{2}$ - 30q - 15q + 25

= (3q - 5)(6q - 5)

and

9 $q^{2}$ - 25 = (3q - 5)(3q + 5)

So that,

$\frac{18q^{2}-45q+25 }{9q^{2}-25 }$ = $\frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}$

= $\frac{(6q-5)}{(3q+5)}$

Therefore,

$\frac{18q^{2}-45q+25 }{9q^{2}-25 }$ = $\frac{(6q-5)}{(3q+5)}$

5 0

3 years ago

11760825 in word form

crimeas [40]

The answer would be <span>eleven million seven hundred sixty thousand eight hundred twenty five

</span>

4 0

4 years ago

Find the area under the curve y = 27/x3 from x = 1 to x = t. Evaluate the area under this curve for t = 10, t = 100, and t = 100

Darina [25.2K]

Answer:

Step-by-step explanation:

given is a function as

$y=\frac{27}{x^3}$

We are to find the area form x=1 to x=t

The curve from x=1 lies in the I quadratnt.

So area above x axis is to be calculated

Area = $\int\limits^t_1 {\frac{27}{x^3} } \, dx \\=\frac{-27}{2x^2} \\= \frac{-27}{2t^2}-\frac{-27}{2}\\=\frac{27}{2}(1-\frac{1}{t^2} )$

a) When t =10,

area = $\frac{27}{2} (1-\frac{1}{10^2} )\\= 13.365$

b) t=100

area = $\frac{27}{2} (1-\frac{1}{100^2} )\\= 13.49865$

c) t=10000

area = $\frac{27}{2} (1-\frac{1}{10000^2} )\\= 13.5$

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3 years ago

6 groups of students sell 162 balloons at the school carnival. there are 3 students in each group. if each student sells the sam

Serga [27]

They have enough balloons because I used division as my operation. 3 can go into 16 five times. I got 1 after subtracting and bring down 2. 3 can go into 12 evenly 4 times. 12 minus 12 equals 0 with no remainder. So, they get 54 balloons for each group. But I want to know how many EACH student gets enough balloons. 54 divided by 6 groups equals 9 balloons for each student. GLOSSARY: Division - Set of operation that breaks down numbers into equal parts | Remainder - left over ||

6 0

3 years ago

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