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viva [34]
3 years ago
15

A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 51 degrees. How high does the lad

der reach up the side of the building? Please round your answer to 2 decimal places.

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

19.43 ft

Step-by-step explanation:

Using SOHCAHTOA,

opposite = x

Hypothenus = 25ft

Sin α = opposite /Hypothenus

Sin 51° = x/25

x = 25(Sin51°)

x = 19.4286

x = 19.43(approximate to 2 d.p)

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What is the difference between slope and unit rate?
Aleks04 [339]
Slope is for a average rate and unit rate is what you get for just one thing
5 0
3 years ago
Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years he'll have $100. Be
Nimfa-mama [501]

Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

First step is to determine Jerry total deposit

over the two years

Total deposit = 24×$5

Total deposit= $144

Now let determine what the correct balance will be at end of two years

Using this formula

Maximum Amount=Principal (1+r)^t

<em>Where</em>:

Principal=$144

r=4.8%/12 = 0.4% or 0.004

t=24 months

Let plug in the formula

Maximum Balance = $144 (1.004)^24

Maximum Balance  = $158.5

Based on the above calculation both Jerry $100 and Benny $163 balance are  ​eliminated or rule out because the correct balance after two years is $158.5

Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

Learn more here:

brainly.com/question/3658861

4 0
3 years ago
Please help me out with this problem!
MA_775_DIABLO [31]

Answer:

C

Step-by-step explanation:

The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.

Given y = f(x) then f(x + a) is a horizontal translation of a units

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here shift to the right of 1 unit, thus

y = f(x - 1)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Note the y- coordinates are the negative of each other, thus

- y = f(x)

Now \frac{y}{-1} = - y, hence

The equation for the red graph is

\frac{y}{-1} = f(x - 1) → C

6 0
3 years ago
a shopkeeper sold a certain number ( a two-digit number)of toys all priced at a certain value (also a two-digit number when expr
Makovka662 [10]

The answer is 91 toys sold, make the number ab where a is the 10th digit and b is the first digit. The value is 10a + b that can expressed as 10 (3) + 4 = 34

Let the price of each item: xy

10x + y

He accidentally reversed the digits to: 10b + a toys sold at 10y + x rupees per toy. To get use the formula, he sold 10a + b toys but thought he sold 10b + a toys. The number of toys that he thought he left over was 72 items more than the actual amount of toys left over. So he sold 72 more toys than he thought:

10a + b =10b + a +72

9a = 9b + 72

a = b + 8

The only numbers that could work are a = 9 and b = 1 since a and b each have to be 1 digit numbers. He reversed the digits and thought he sold 19 toys. So the actual number of toys sold was 10a + b = 10 (9) + 1 = 91 toys sold. By checking, he sold 91 – 19 = 72 toys more than the amount that he though the sold. As a result, the number of toys he thought he left over was 72 more than the actual amount left over as was stated in the question.

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3 0
3 years ago
Find the slope of the line that passes through the points (2, -5) and (3, -6)
Alecsey [184]

Answer:

slope is -1

Step-by-step explanation:

slope is

m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1

5 0
3 years ago
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