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3 years ago

9

A large dump truck will empty its full load of stone onto a small plot of land for storage. The rock forms a cone that is 9 feet

tall. The truck holds 144 cubic feet of stone. What is the area of the circular base of the pile of stones

1 answer:

Troyanec [42]3 years ago

3 0

48 square feet is the area of thr base.

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Customers of a phone company can choose between two service plans for long distance calls. The first plan has no monthly fee but

alex41 [277]

Answer:

380

Step-by-step explanation:

.20x = 19 + .15x

.05x = 19

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3 years ago

The subtotal on a restaurant bill was $45.00. The customer paid $47.81 after taxes, not including a tip. What was the tax rate?

Mars2501 [29]

Answer:

6.2 percent

Step-by-step explanation:

47.81 - 45 = 2.81

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3 years ago

The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5

Ket [755]

Answer:

since p value < x(0.05) so we reject the null hypothesis

step 5 ( conclusion)

reject the null hypothesis and there is sufficient evidence to support the claim that the true average percentage differs from 5.5.

Step-by-step explanation:

check the attachment for detailed explanation

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3 years ago

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To prove :One plus cot square theta into tan theta by sec square theta = cot theta

pickupchik [31]

we are given

$\frac{(1+cot^2(\theta))*tan(\theta)}{sec^2(\theta)} =cot(\theta)$

We will simplify left side and make it equal to right side

Left side:

$\frac{(1+cot^2(\theta))*tan(\theta)}{sec^2(\theta)}$

we can use trigonometric identity

$1+cot^2(\theta)=csc^2(\theta)$

we can replace it

$\frac{(csc^2(\theta))*tan(\theta)}{sec^2(\theta)}$

we know that

csc=1/sin and sec=1/cos

so, we can replace it

and we get

$\frac{cos^2(\theta)tan(\theta)}{sin^2(\theta)}$

now, we know that

tan =sin/cos

$\frac{cos^2(\theta)*sin(\theta)}{sin^2(\theta)*cos(\theta)}$

we can simplify it

and we get

$\frac{cos(\theta)}{sin(\theta)}$

we can also write it as

$=cot(\theta)$

Right Side:

$cot(\theta)$

we can see that

left side = right side

so,

$\frac{(1+cot^2(\theta))*tan(\theta)}{sec^2(\theta)} =cot(\theta)$ ......Answer

6 0

3 years ago

(I may give brainliest) The roof of a lean-to-garden shed has a gradient of 0.35.find the height?

UkoKoshka [18]

Answer: 2.325 meters

Step-by-step explanation:

The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house

-------

It sounds like you have a right triangle with base = 1.5,

----

Use a proportion to get:

(height of that triangle)/1.5 = 35/100

height of that triangle = 1.5*0.35 = 0.5250

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greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters

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2 years ago

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