A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.

See attachment for math work and answer.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 39.1027 feet.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The Base is the adjacent smaller side of the angle θ.

Tan(70°) = Height of the tree/Shadow of the tree

Tan(70°) = Height of the tree/ 32 feet

Height of the tree = 39.1027 feet

Hence, the height of the tree is 39.1027 feet.

Learn more about Tangent (Tanθ):

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Answer: 3.  (3,-3) and 4. (-3,4)

Step-by-step explanation: Number 4 is self explanatory of what they are and number 3, you need to figure out what minus 6 equals -3 and that happens to be 3.

Answer: what is your question

Step-by-step explanation: Also for what subject

Answer:

Thousandths

Step-by-step explanation:

7: tens

8: ones

0: tenths

0: hundredths

6: thousandths

the answer is 3/5 on slime

Answer:

20

Step-by-step explanation:

[tex]\frac{10^{2} }{5^{1}}[/tex]

[tex]\frac{100}{5}[/tex]

[tex]\frac{20}{1}[/tex]

[tex]20[/tex]

Answer:

m=10

Step-by-step explanation:

m/5=2

m=10

thats what i got

Answer:m=10

Step-by-step explanation:

Because first you subtract 9 from 11. And that is 2 and then you multiply the 5 times 2 and get 10.

Answer:

n=3

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

-24 -6n = -42

+24 (move to other side)

-42 + 24 = -18

-6n = -18

to move the -6 to the other side you divide

-18 divided by -6 is 3

n=3

Answer

well i know that the accual answer would be 466.6.

Step-by-step explanation:

Answer: Fail to reject H0

Step-by-step explanation:

Given that:

P value = 0.26

α = 0.1

The values of both p and α can be compared in other to make a decision on whether to reject or fail to reject the Null hypothesis

Decisions :

If the p value > α (fail to reject null)

If p value < α ( Reject null)

In the scenario above :

0.26 > 0.1 ; p value > α

Since the p value is greater than alpha ; we fail to reject the Null

Answer:

well if the area dimensions are correct it will be 7040 sq ft according to what is above the question, but what i see it doesn't give you anything to go off of

Step-by-step explanation:

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Basketball court area in meters scale :

[tex]15 \times 28 = 420 \: \: {m}^{2} [/tex]

_________________________________

Basketball court area in foot scale :

[tex]50 \times 94 = 4700 \: \: {ft}^{2} [/tex]

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Answer:

0.91

Step-by-step explanation:

Answer:

A.

or

4.

Step-by-step explanation:

Answer:

60 animal balloons

Step-by-step explanation:

15 times 3 equals 45 so 20 times 3 equals 60 balloons

Hope this is helpful

Answer:

60

Step-by-step explanation:

If he can make 20 balloon animals in 15 minutes, then to get the answer you would multiply 20 x 3 = 60. That would be how many animal balloons that Fred can make in 45 minutes.  And 45 minutes is three sets of 15 minutes.

Hope that helps.

Answer:

Minimize

Step-by-step explanation:

Hope this helps!

Answer:

The second one

Step-by-step explanation:

Step-by-step explanation:

=9.8-6.4n

just add them together as easy as that

Answer:

the answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Correct on edge

Answer:

corresponding angles im pretty sure

Answer:

Corresponding angles

Step-by-step explanation:

There are actually two correct answers, one of them is y-4=-0.5(x-4)

First of all, the slope-intercept that can be derived from the points (-4,8) and (4,4) is y=[tex]-\frac{x}{2} +6[/tex], with -0.5 being the slope. To bring this to point-slope form, you must signify the slope and the coordinate intersection. Since there are two coordinates, there are actually two point-slope equations.

9514 1404 393

Answer:

  i) exponential; values have a common ratio; f(x) = -2·4^x

  ii) linear; values have a common difference; f(x) = 4x -3

  iii) exponential; values have a common ratio; f(x) = 4·2^x

Step-by-step explanation:

Sequential, or evenly-spaced, input values will result in output values with a common difference if the function is linear. They will result in output values with a common ratio of the function is exponential.

The initial value, or y-intercept, is the value when x=0. The general form of the formulas is ...

  linear: f(x) = (common difference)·x + (initial value)

  exponential: f(x) = (initial value)·(common ratio)^x

__

i) The f(x) values have a common ratio of -8/-2 = 4, so the relation is exponential. The initial value is f(0) = -2. The equation is ...

  f(x) = -2·4^x

__

ii) The f(x) values have a common difference of 1 -(-3) = 4, so the relation is linear. The initial value is f(0) = -3. The equation is ...

  f(x) = 4x -3

__

iii) The f(x) values have a common ratio of 8/4 = 2, so the relation is exponential. The initial value is f(0) = 4. The equation is ...

  f(x) = 4·2^x

Answer:

$8.60

Step-by-step explanation:

Answer:

122.5 units

Step-by-step explanation:

The proportion would be between the perimeters and the given ratio:

7/2 = p/p

Where P is the perimeter of the bigger figure and p is the perimeter of the smaller figure.

Remember that the perimeter is the sum of all sides, using all given values and solving for P, we have

7/2=P/9+5+9+12

7/2=P/35

7(35)/2=P

P=245/2=122.5

Therefore, the perimeter of Figure A is 122.5 units.

Answer:

Marisa has made 6 sandwiches.

Step-by-step explanation:

The pounds of roast beef required to make each sandwiches is [tex]\frac{3}{8}[/tex], and not [tex]\frac{8}{8}[/tex] as erroneously typed in the question.

Given that each deli sandwiches made, uses [tex]\frac{3}{8}[/tex] pounds of roast beef.

Marisa started with 5 pounds, and had 2[tex]\frac{3}{4}[/tex] pounds left.

Thus,

pounds of roast beef used = 5 - 2[tex]\frac{3}{4}[/tex]

                                             = 5 - [tex]\frac{11}{4}[/tex]

                                             = [tex]\frac{20 - 11}{4}[/tex]

                                             = [tex]\frac{9}{4}[/tex]

                                             = 2[tex]\frac{1}{4}[/tex]

Marisa had used 2[tex]\frac{1}{4}[/tex] pounds of roast beef. So that;

the number of del sandwiches made = 2[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]

                                                    = [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]

                                                    = 6

Therefore, the number of sandwiches made by Marisa is 6.

Answer:

f = -0.032

Step-by-step explanation:

I looked it up

Answer:

-0.032

Step-by-step explanation:

f/-3.2=0.01

f=-3.2×0.01 (cross multiplication)

f=-3.2×1/100

f=-0.032