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suter [353]
1 year ago
7

A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 64°. How high does the ladder rea

ch on the building?
Mathematics
1 answer:
vodka [1.7K]1 year ago
7 0

The height of the ladder on the building is 19.77 feet

<h3>How high does the ladder reach on the building?</h3>

Represent the height of the ladder on the building with h

So, the given parameters are:

Angle, x = 64 degrees

Length of ladder, l = 22 feet

The height of the ladder on the building is calculated using

sin(x) = h/l

Substitute the known values in the above equation

sin(64) = h/22

Multiply both sides by 22

h = 22 * sin(64)

Evaluate the product

h = 19.77

Hence, the height of the ladder on the building is 19.77 feet

Read more about elevation angles at

brainly.com/question/19594654

#SPJ1

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The LCD 2/5 and 16/25 is 25 how would u rewrite 2/5 using the LCD as the denominator
Delvig [45]
 2        2(5)        10
---- = --------- = -------
 5        5(5)        25

hope this helps :)
7 0
3 years ago
Please assist me with these problems​
Alex73 [517]

Answer:

1) $350

2) 55°

3) $300

Step-by-step explanation:

1) The total cost is the cost of the appointment plus the cost of the repair work.  The appointment costs $50.  The repair work costs $120 per 2 hours.  So the total cost is:

C = 50 + (120/2) t

C = 50 + 60t

For 5 hours of work, the cost is:

C = 50 + 60(5)

C = 350

It costs $350.

2) The temperature starts at 70°.  It drops 10° in 4 hours.  So the temperature after t hours is:

T = 70 + (-10/4) t

T = 70 − 2.5t

After 6 hours:

T = 70 − 2.5(6)

T = 55

The temperature is 55°.

3) Jennie's total pay is her weekly pay plus her commissions.  If her commission is x% of her sales, then her pay is:

P = 250 + (x/100) S

When her sales is $1000, her pay is $275.

275 = 250 + (x/100) 1000

275 = 250 + 10x

25 = 10x

x = 2.5

So her pay is:

P = 250 + (2.5/100) S

When S = $2000:

P = 250 + (2.5/100) 2000

P = 250 + 50

P = 300

Her total pay is $300.

8 0
3 years ago
The sales tax for an item was $12.80 and it cost $320 before tax.
antiseptic1488 [7]

Answer:

Step-by-step explanation:

7 0
3 years ago
What do the 5 -groups mean ?
jolli1 [7]
5, 10, 15, 20. i think that's what it means.get a second opinion.
4 0
3 years ago
What is the value of 2 3/4 ➗ 3/4​
Ivan

Answer:

3 2/3 is the answer

Step-by-step explanation:

Conversion a mixed number 2 3/

4

to a improper fraction: 2 3/4 = 2 3/

4

= 2 · 4 + 3/

4

= 8 + 3/

4

= 11/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 3. New numerator is 8 + 3 = 11

c) Write a previous answer (new numerator 11) over the denominator 4.

Two and three quarters is eleven quarters

Divide: 11/

4

: 3/

4

= 11/

4

· 4/

3

= 11 · 4/

4 · 3

= 44/

12

= 4 · 11 /

4 · 3

= 11/

3

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

4

is 4/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 11/

3

.

so you simplify to get 3 2/3

8 0
3 years ago
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