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3 years ago

Suppose you buy 4 buckets of apples and 5 buckets of peaches for $55. If

Mathematics

1 answer:

Mila [183]3 years ago

5 0

Answer:

$7,p-5

20 characters long. hahahhahahahah

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A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill th

Lerok [7]

Answer:

D. 10

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

V = πr²h

V = π(4 in)²(13 in) = 208π in³

The volume of a cone 3 inches in radius and 7 inches high is ...

V = (1/3)πr²h = (1/3)(3 in)²(7 in) = 21π in³

Then the ratio of the volume of the cylinder to that of the cone is ...

(208π in³)/(21π in³) ≈ 9.905

You would need to fill the funnel about 10 times to fill the can.

7 0

3 years ago

F(x)= x^2– 3x + 9<br> g(x) = 3x^3+ 2x^2– 4x – 9<br> Find (f - g)(x).

denis-greek [22]

Answer:

$\large \boxed{\sf \ \ -3x^3-x^2+x+18 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

$(f-g)(x)=f(x)-g(x)=x^2-3x+9-(3x^3+2x^2-4x-9)\\\\=x^2-3x+9-3x^3-2x^2+4x+9\\\\=\boxed{-3x^3-x^2+x+18}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

A airplane travels a speed of 300 miles per hour how far in miles will the air plane travel in 20 minutes decmal or fraction ans

Ierofanga [76]

Answer: $15$ or $\frac{15}{1}$

Step-by-step explanation:

We need to divide 300 by 20.

We get $15$ or $\frac{15}{1}$ .

7 0

3 years ago

Read 2 more answers

Mrs. Bull needs to be 46" tall to participate in the Glenwood Christmas Laser Tag Party. How many feet tall does

UkoKoshka [18]

Answer:

3.8333... ft

Step-by-step explanation:

1 ft = 12 inches

46 inches * (1 foot)/(12 inches) = 3.8333... ft

8 0

3 years ago

Read 2 more answers

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

3 0

3 years ago