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ss7ja [257]
3 years ago
7

a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is

12 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \frac{adjacent}{hypotenuse} = \frac{12}{l} ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \frac{12}{cos70} ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

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which statement correctly compares two values? a)the value of the 7 in 37.596 is 1/10 the value of the7 in 26.74 b) the value of
Andrews [41]

The value of 7 in 26..74 is 0.7

The value of 7 in 37.596 is 7.

1/10 the value of 7 in 26.74 is 0.07 and 0.07 ≠ 7.

So, statement a) is incorrect.

1/100 the value of 7 in 26.74 is 0.007 and 0.007 ≠ 7.

So, statement c) is incorrect.

100 times the value of 7 in 26.74 is 70 and 70 ≠ 7.

So, statement d) is incorrect.

10 times the value of 7 in 26.74 is 7 and 7 = 7.

So, statement b) is correct and it correctly compares two values.

7 0
3 years ago
If the difference between a number and 21 is divided by2, the result is 4 times the number. What is the number
Ostrovityanka [42]
(n-21)/2=4n is the equation

First, divide what is in the parentheses by 2
0.5n-10.5=4n

Then, multiply the whole equation by 2 so we have all whole numbers
n-21=8n

Move N so that it is with 8n
7n=-21

Divide 21 by 7
n=-3

Solution: The number (n) is equal to -3
6 0
3 years ago
Can someone help please i’ll mark branliest!!
andre [41]

Answer:

a= 32 degrees

b= 148 degrees

c= 82 degrees

6 0
2 years ago
You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk
Rina8888 [55]

Answer:

Part a) y=18.50x+100

Part b) The total cost is \$220.25

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

m=\$18.50\ per\ hour

The y-intercept or initial value is equal to

b=\$100

substitute

y=18.50x+100

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

y=18.50(6.5)+100\\y=\$220.25

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0
3 years ago
Ms. Walker's class set up an online fund with a goal to raise $1,280 to go on a field trip. Ms. Walker starts the fund by deposi
madreJ [45]
What you can use for this case is a function of the potential type.
 We have then
 y = a (b) ^ x
 Where we have:
 Walker starts the fund by depositing $ 5
 a = 5
 Each week the balance of the fund is twice the balance of the previous week:
 b = 2
 The function is:
 y = 5 (2) ^ x
 The number of weeks to reach $ 1280 is 8 weeks.
 Check:
 y = 5 (2) ^ 8
 y = 1280
 Answer:
 An equation can be used to find the number of weeks, x, after which the balance of the fund will reach $ 1,280 is:
 y = 5 (2) ^ x
 The number of weeks that it takes to reach the class goal is
 8 weeks
4 0
3 years ago
Read 2 more answers
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