40 POINTS + BRAINLIEST!!!!
Find the length of the base of the following pyramid, given the height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°. Round to the nearest whole number.

127 meters
158 meters
191 meters
212 meters

40 POINTS + BRAINLIEST!!!! Find The Length Of The Base Of The Following Pyramid, Given The Height Of

Answers

Answer 1
tan (42°) = height / base

base = height / tan(42°)

base = 71/tan(42°)

base = 78.85 m

Now length of the base pyramid = 2× length of the base of the right triangle

= 2 ×78.85

= 157.7 ≈ 158 m

Option B
Answer 2

The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

Calculation of the length of the base:

Since

The height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°.

So,

[tex]tan (42) = height \div base\\\\base = height \div tan (42)\\\\base = 71\div tan\ (42)\\\\[/tex]

base = 78.85 m

Now

length of the base pyramid = 2× length of the base of the right triangle

= 2 ×78.85

= 157.7

≈ 158 m

Hence, The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

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Answer:

1. 25

2. 3 hours

3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes

Step-by-step explanation:

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A tree casts a shadow 21m long. The angle of elevation of the sun is 51º. What is the height of the tree? Round your answer to the nearest tenth.

Answers

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

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Find the tenth term of the geometric sequence with a1 = 3, and r = 2.
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Answers

General term of GP: a

1

r

n−1

10

th

term of GP =a

1

r

9

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9

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=2.304×10

−5

Answer:

1536

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

Here a₁ = 3 and r = 2 , then

a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536

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Answers

Answer:

am not really sute bt its ..no

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Answers

Answer:

Cosine

Step-by-step explanation:

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cos=cah=a/h

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If you look at right triangle the slanted line is the hypothese. it will always be. so thats h. the adjacent is the line connected the the angle you are looking for. and opposite is the line thats away from the angle.

Last week a gumball machine dispensed 12 purple gumballs and 48 other gumballs. What is
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Simplify your answer and write it as a fraction or whole number
P(purple) =

Answers

Answer:

1/5

Step-by-step explanation:

12/60=1/5

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week

Answers

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

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Step-by-step explanation:

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Answers

The following answer to this is 1. B
2.D

Answer:

Question 3

C. [tex] y-9 =1/2(x-1)[/tex]

Question 4

D. [tex] y+5 =3(x+2)[/tex]

Step-by-step explanation:

Question 3:

Equation of line in point slope form is given as:

[tex] y-y_1 =m(x-x_1)[/tex]

Plug m = 1/2, [tex] x_1 = 1, \:y_1 = 9 [/tex] in the above equation, we find:

[tex] y-9 =1/2(x-1)[/tex]

This is the required equation of the line.

Question 4:

Equation of line in point slope form is given as:

[tex] y-y_1 =m(x-x_1)[/tex]

Plug m = 3, [tex] x_1 = - 2, \:y_1 = - 5[/tex] in the above equation, we find:

[tex] y-(-5) =3[x-(-2)][/tex]

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This is the required equation of the line.

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Answers

Step-by-step explanation:

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Answers

Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

What are mixed fractions?

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

We need to simply it in a mixed fraction,

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= 7/2 × 7/2

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The Amar family drives 90 miles in 2 hours, as shown on the double number line below.

image 05c5e308c558498fa8ba743ccde15e1d

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A.
2.5 hours
B.
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C.
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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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NOTE:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Picture below.

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Answer:

Step-by-step explanation:

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Answer:

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F

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Answers

Answer:

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Imagine you measure the length of 15 cars, and then sum that length, in order to see how big a parking lot must be. You do this in two different ways. First, you use the same bad tape measure for each car so that your measurement is always 1 cm too long, or always too short, for all of the measurements. For your second attempt, you use a different bad tape measure for each car, so there is an uncertainty of plus or minus 1cm in each measurement. What is your estimate of the total error in the sum of all the car lengths in these two cases

Answers

Answer:

± 15 cm  

Step-by-step explanation:

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In the second case, the uncertainty or error is also ± 1 cm.

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Answers

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Step-by-step explanation:

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Answers

Answer:

Option (2)

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

Amplitude of the sine function is 1.

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Answers

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Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

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Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

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On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
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5x - 3x = 2x. 4 - 3 = 1. A > 2x + 1
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