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3 years ago

Explanation and show work please.

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

4 0

Answer would be A) -410 feet because you just add or subtract when needed that easy hope it helps! :p

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Item 3write 90% as a fraction or mixed number in simplest form.the simplest form is

Vedmedyk [2.9K]

9/10 :DDDDDDDDDDDDDDDDDDDD

6 0

3 years ago

The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

5 0

1 year ago

A square has a a side lenght of 5 feet what is its area?

goldenfox [79]

Answer:

25 sq feet

Step-by-step explanation:

Length = 5 feet

Area = (Length)²

= 5²

= 25 sq feet

7 0

2 years ago

Compare the fraction 1:24,000 to the fraction 1:3,168,000; which is the largest rational number

gulaghasi [49]

Answer:

$\frac{1}{24,000}$

Step-by-step explanation:

we know that

When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator

In this problem we have

$\frac{1}{24,000}$ and $\frac{1}{3,168,000}$

Both numerator are equal

Compare the denominators

$24,000 < 3,168,000$

therefore

$\frac{1}{24,000}$ is the largest rational number

7 0

3 years ago

If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be wort

gizmo_the_mogwai [7]

Answer:

$638.14

Step-by-step explanation:

Our equation is $p*(1+x)^{t}$ , with p being the starting amount, x being the interest rate, and t being the time. Plugging our variables in, we get

$500*(1+0.05)^{5}$ = around 638.14

6 0

2 years ago