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3 years ago

Lesson 16

Mathematics

1 answer:

Goshia [24]3 years ago

6 0

Answer:

546 ft³

Step-by-step explanation:

In the figure attached, the top view of the pool is shown. It can be decomposed into a trapezoid which height is 12 ft and which bases are 9 ft and 11 ft; and a rectangle which height is 1.5 ft and and it base is 11 ft.

Area of the trapezoid: (9 + 11)/2 * 12 = 120 ft²

Area of the rectangle: 1.5*11 = 16.5 ft²

Total area: 120 + 16.5 = 136.5 ft²

Volume of the pool: Total area * deep = 136.5 * 4 = 546 ft³

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the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)

skelet666 [1.2K]

Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = $\frac{2}{3} \pi r^{3}$

1527.4 = $\frac{2}{3} * \frac{22}{7} * r^{3}$

$\frac{7*15274*3}{2*22*10}$ = $r^{3}$

$\frac{320754}{440}$ = $r^{3}$

$r^{3}$ = 729

r = $\sqrt[3]{729}$

r = 9 cm approx.

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3 years ago

Which estimate (rounding to the nearest ten thousand or meet at thousand) is more accurate

wel

Rounding to the nearest thousand
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7 0

3 years ago

Read 2 more answers

Brice has $1200 in the bank. He wants to save a total of $3000 by depositing $40 per week from his paycheck. Write and use an eq

Anon25 [30]

$$3000-$1200=$1800

take $1800÷$40=45

<h3>answ=45 weeks</h3>

6 0

2 years ago

Use the formula for the area of a circle to solve for the radius of the circle if the area is 78.5cm^2

postnew [5]

Answer:

Area = PI * radius^2

radius = Sq Root (Area / PI)

radius = Sq Root (78.5 / PI)

radius = Sq Root (24.9873260654)

radius = 4.9987

radius = 5 (rounded)

Step-by-step explanation:

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3 years ago

Please help for brainliest!!:)

grandymaker [24]

9514 1404 393

Answer:

Step-by-step explanation:

If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.

Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...

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P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)

P(x) = x^4 +3x^3 -10x^2 -10x

3 0

2 years ago