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3 years ago

A 24 ft beam is leaning against a wall. The beam makes an angle of 71° with the ground. How far up the wall does the beam reach?

Mathematics

1 answer:

Mumz [18]3 years ago

8 0

The far of reaching the wall
24tan71
=69.70106106ft

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Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.

Vilka [71]

Answer:

Karen has 6 quarters and 2 dimes

Step-by-step explanation:

Let

x ----> the number of quarter coins Karen has

y ----> the number of dimes coins Karen has

Remember that

$1\ quarter=\$0.25\\1\ dime=\$0.10$

we know that

Equation that represent the amount of coins Karen has

$x+y=8$

isolate the variable y

$y=8-x$ ----> equation A

Equation that represent the value of coins Karen has

$0.25x+0.10y=1.70$ ----> equation B

Solve the system of equations by substitution

substitute equation A in equation B

$0.25x+0.10(8-x)=1.70$

solve for x

$0.25x+0.80-0.10x=1.70$

$0.25x-0.10x=1.70-0.80$

$0.15x=0.90$

$x=6$

Find the value of y

$y=8-x$ ----> $y=8-6=2$

therefore

Karen has 6 quarters and 2 dimes

5 0

3 years ago

Need help with #5 please

adell [148]

Answer:

the answer is 5/6 also knows as answer #3

Step-by-step explanation:

because there is 6 sides #s 1-6

6 0

3 years ago

Who wanted to establish a homeland after European persecution

Alex73 [517]

Answer:

england

Step-by-step explanation:

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2 years ago

1. Identify the LCM for 6 and 18. O 36 O 6 O 18 O 108

Sphinxa [80]

Answer: 18

Step-by-step explanation: 6 x 3 = 18, 18 x 1 = 18

8 0

3 years ago

0.672 nearest hundreth

kolezko [41]

0.67 Since 2 (in the thousandths place) is lower than 5 you round down wich just leaves you with 0.67

3 0

3 years ago

Read 2 more answers