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NNADVOKAT [17]
2 years ago
10

Team members Eric and Natalia secure a grant of $75.00 to buy beams on channels.if the team needs 3 beams at 6 channels,will the

grants cover the cost? if so,how much all of the grants will remain?
​
Mathematics
1 answer:
Vlad [161]2 years ago
6 0

Answer:0.e4r

Step-by-step explanation

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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
katrin [286]

The area of the cross section of the column is 18 \pi \ m^2

Explanation:

Given that a building engineer analyzes a concrete column with a circular cross section.

Also, given that the circumference of the column is 18 \pi meters.

We need to determine the area of the cross section of the column.

The area of the cross section of the column can be determined using the formula,

Area= \pi r^2

First, we shall determine the value of the radius r.

Since, given that circumference is 18 \pi meters.

We have,

2 \pi r=18 \pi

   r=9

Thus, the radius is r=9

Now, substituting the value r=9 in the formula Area= \pi r^2, we get,

Area = \pi (9)^2

Area = 81 \pi

Thus, the area of the cross section of the column is 18 \pi \ m^2

5 0
2 years ago
A golden rectangle is 32cm long.The ratio of length to width is (1 + square root of 5) :2. What is the width of the rectangle in
zhannawk [14.2K]

Answer:

Width = 16(√5) - 1

Step-by-step explanation:

We are told that the golden rectangle is 32 cm long.

Thus, length = 32 cm

We are also told that the ratio of the length to the width is; (1 + √5):2

Thus;

If a length of (1 + √5) yields a width of 2

Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)

So corresponding width = 64/(1 + √5)

We want to reduce this width to it's simplest radical form which means the denominator should have no square root.

Thus, let's multiply top and bottom by (1 - √5);

Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]

Width = 64(1 - √5)/(1 - 5)

Width = 64(1 - √5)/(-4)

Width = -16(1 - √5)

Width = 16(√5 - 1)

Width = 16√5 - 1

8 0
2 years ago
a shopkeeper sold goods for rs 2400 and made a profit of 25% in the process. find his profit per cent if he had sold his goods f
miv72 [106K]

case 1,

Let the CP be ₹x,

SP = ₹2400

Profit = SP – CP

= 2400 – x

Profit % = {(2400–x)/ x} × 100%

According to the question,

{(2400–x)/ x} × 100 = 25

=> (2400–x)/ x= 25 /100

=> 100(2400–x) = 25x [ cross multiplication]

=> 240000 – 100x = 25x

=> 240000 = 25x + 100x

=> 240000 = 125x

=> 240000/125 = x

=> x = 1920

So, CP = ₹1920

case 2,

SP = ₹2040

Profit = SP – CP

= 2040 – 1920

= ₹120

profit % = 120/1920 × 100%

= 16%

<h3>Thus, his profit would be 16% if he had sold his goods for ₹2040.</h3>
6 0
2 years ago
linda,rumi,liz,amy,adam,and sam ran a 800-meter race.Adam BEAT liz by 7meter Sam beat linda by 12 meters. Adam finished 5 meters
Stels [109]
The distance between Adam and Liz is 7 meters. Sam ang Linda are 12 meters apart. Adam and Sam are 3 meters apart while Adam is 5 meters ahead of anyone. So, Sam finished first, then Adam, next is Liz, next is Rumi, last is Linda. 
5 0
2 years ago
One year,the price of wheat was $8.87 per bushel.The next year,the price was $9.60. Round the price per bushel of wheat for each
stellarik [79]
<span>So the given numbers are:
=> One year, the price of wheat is 8.87 dollars
=> the next year, the price of wheat is 9.60 dollars.
We were asked to round each prices of bushels of wheat to its nearest tenths.
=> 8.87, where 8 before the decimal point is ones, 8 next to decimal point is tenths and 7 is the hundredths.
=>round off to the nearest tenths
=> 8.9
=> next is 9.60, where 9 is the ones value, 6 is the tenths value and 0 is the hundredths.
=> round off to nearest tenths
=> 9.6

</span>



5 0
2 years ago
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