All categories

3 years ago

Find the length of a guy wire that makes an angle of 45 degrees with the ground if the wire is attached to the top of a

Mathematics

1 answer:

a_sh-v [17]3 years ago

5 0

Just subtract 63 from 45

You might be interested in

A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

I need helpppppppppppp

ratelena [41]

The answer to question 3 is D. 15(4a+3). And the answer to question 4 is A. 90. Have a great day

7 0

3 years ago

Angle A is 5x-15. Angle B is 2x+21. Solve for x then find the measure for Angle B

Komok [63]

Are A and B supplementary or complementary

3 0

3 years ago

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is

gtnhenbr [62]

Answer:

1.52

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the slope of the line. y=6

Sedaia [141]

Answer:

slope: 0

Step-by-step explanation:

y=6

no matter what x is, y is always going to equal 6

7 0

3 years ago