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DaniilM
11 days ago
14

need right now, will mark brainlyest and 100 points! Ellis is painting wooden fenceposts before putting them in his yard. They a

re each 6 feet tall and have a diameter of 1 foot. There are 12 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 12 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit.
Mathematics
1 answer:
PIT_PIT [3.9K]11 days ago
5 0

Answer:

172.7 sqft (square feet)

Step-by-step explanation:

SA = 2(pi)(r)(h) + 2(pi)r^2

Insert the radius and height to derive SA, then multiply by 10 for the total number of fenceposts.

SA= 2(3.14)(.5)(6)

Calculate

SA=14.39166

Then multiply by 12

The result is 172.7 sqft

Hope this helps!

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Jasmine bought 1.3 pounds of ham and 0.8 pounds of cheese from the deli and paid $11.28. She went back the following week and bo
lawyer [4008]
Let

x
represent the cost per pound of ham
y represent the cost per pound of cheese

<span>1.3x + 0.8y = 11.28....(1)
1.5x + 1.2y = 14.76....(2)

Now, let's multiply equation (1) by -1.2
...and multiply equation (2) by 0.8

Then we obtain -1.56x - 0.96y = -13.536.....(3)
</span>...and 1.2x + 0.96y = 11.808.....(4)


Adding (3) and (4) results in

-0.36x = -1.728............> x = 4.8

Substituting x back into (1)

1.3(4.8) + 0.8y = 11.28

y = 6.3

Cost per pound of ham = x = 4.8
Cost per pound of cheese = y = 6.3
5 0
9 days ago
You are given the coordinates of a triangle and
Svet_ta [4321]

Answer:

To find the translation, utilize the coordinates of the provided image along with the corresponding vertices of the object. Once the translation is determined, calculate the coordinates of the other two vertices for the image using the formula IMAGE=OBJECT + TRANSLATION

6 0
9 days ago
Read 2 more answers
Students have organized
tester [3916]

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours, Elijah will fall behind Mercedes

Part C. In over 2.5 hours, Elijah will lead Aubrey

Step-by-step explanation:

D = distance

v = speed

t = time

Formula connecting D, v, and t:

D=v\cdot t

Part A.

Steve's speed: v=3.5\ mph

Distance: a minimum of 21 miles

Time: unknown, so

3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6

It would require Steve a minimum of 6 hours to traverse at least 21 miles on Day 1.

Part B.

Mercedes's speed: v_M=2.4\ mph

Elijah's speed: v_E=3.2\ mph

Elijah's Distance walked: D_E miles

Mercedes's Distance walked: D_M miles

Time: x hours

Mercedes is 2 miles ahead, therefore

D_E=3.2x\\ \\D_M=2.4x+2

Elijah will trail behind until

D_E

In 2.5 hours, Elijah will close the gap on Mercedes, and in less than 2.5 hours, Elijah will trail behind her.

Part C.

Aubrey's speed: v_M=3\ mph

Elijah's speed: v_E=3.2\ mph

Elijah's Distance walked: D_E miles

Aubrey's Distance walked: D_A miles

Time: x hours

At the beginning of Day 3, Elijah starts from Mile 42, while Aubrey begins at Mile 42.5.

D_E=42+3.2x\\ \\D_A=42.5+3x

Elijah will be ahead of Aubrey when

D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours

In 2.5 hours, Elijah will surpass Aubrey, and after more than 2.5 hours, Elijah will outpace Aubrey.

4 0
11 days ago
The budget of a university organizations is split evenly among its various committees . if they have a budget of P 60.000 repres
PIT_PIT [3919]

Response:

m(n) = 60000

Amount = 60000/n

Step-by-step breakdown:

Provided

Budget = 60000

Solving part (a) as a function mn

To achieve this, simply substitute m(n) for the budget amount.

This results in;

m(n) = 60000

Solving part (b) for the amount each committee is allocated.

Given that the budget will be evenly split.

Amount = m(n)/n

Replace m(n) with 60000

Amount = 60000/n

4 0
11 days ago
555 grams of wool were needed to knit a sweater, a hat, and a scarf. The hat required 5 times less wool than the sweater and 5 g
Zina [3914]

Answer:

The amount of wool required for a sweater was 400 grams.

A hat needed 80 grams of wool.

A scarf required 75 grams of wool.

Step-by-step explanation:

Let

x ------> grams of wool necessary for a sweater

y -----> grams of wool necessary for a hat

z -----> grams of wool necessary for a scarf

From the information given

x+y+z=555 -----> equation A

y=x/5 ----> x=5y -----> equation B

y=z+5 ---> z=y-5 ----> equation C

By substituting equations B and C into equation A, we can solve for y:

(5y)+y+(y-5)=555

7y=560

y=80 grams

Now, find x

x=5(80)=400 grams

Next, determine z

z=80-5=75 grams

In conclusion,

400 grams of wool was required for the sweater,

the hat needed 80 grams of wool, and

the scarf required 75 grams of wool.

4 0
10 days ago
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