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Anarel [89]
3 years ago
9

An 80-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top o

f the tree
house? Round your answer to the nearest tenth of a foot.
feet

Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

56.6m

Step-by-step explanation:

Using SOH = opp/hyp

Where θ = 45°

Hpy = 80m

Opp = ?

Sin θ = opp/hpy

Sin 45 = opp/ 80

Sin 45 × 80 = opp

0.7071 × 80 = opp

Opp = 56.568

~ 56.6m

Hence the height of the top of the tree is 56.6m

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Will mark brainliest and 50 points.<br> What is (2^8x5^-5x19^0)^-2x(5^-2/2^3)^4x2^28 show your work.
Kaylis [27]

Answer:

im quite confused with the way its been layed out

cant tell if ur multiplying of its a X

Step-by-step explanation:

(2^8 times 5 ^-8 times 1) ^-2x times 5^-2 over 2^3 times 4 times 2 ^28

(2^-16x times 5^10x times 5^-2 over 8 times 4 times 2^28

2^16=28 times 5 ^10x

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50

8 0
3 years ago
When the turnpike littered the toll, traffic increased from 1,500 cars per day to 2,700
umka21 [38]

Answer:

  80%

Step-by-step explanation:

The percentage change between two numbers can be calculated as ...

  percentage change = ((new value)/(old value) -1) × 100%

  = (2700/1500 -1) × 100% = (1.80 -1) × 100% = 80%

Traffic volume increased 80%.

6 0
3 years ago
CAN SOMEONE HELP PLZ AND EXPLAIN BEC IF DONT DO GOOD I CANT GO TO MY DADS HOUSE THIS WEEK END
Galina-37 [17]
Hello!

6.
Since the area is that of a square, you know that all side lengths are the same. 

Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².

A = a^{2}
144 = a^{2}
\sqrt{144} = a
12 = a

The length of the side of a square with an area of 144 in² is 12 in.

7.
Rational number.

8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.

Plug in your leg lengths:

a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
7 0
3 years ago
What is 4/15 equivalent to
max2010maxim [7]

Answer:

.2666667 or 26.66667%

Step-by-step explanation:

4/15 cant be simplified further. the denominator is divisible by 5 or 3, while the numerator is only divisible by 2. You can't make it smaller.

8 0
3 years ago
Phone chargers in a store are priced $19, $18, $15, $17, $19, $12, $19, and $15.
fredd [130]

The display that would best show the measures of variation of the given prices is; B: Box and Whisker Plot

<h3>What is the importance of Box and Whisker Plot?</h3>

We are given the prices of Phone chargers in a store as;

$19, $18, $15, $17, $19, $12, $19, and $15.

Now, since we want to determine the display that would best show the measures of variation, the best display would be a box and whisker plot. This is because Box and Whisker plots are a great chart to use when showing the distribution of data points across a selected measure. These  box and whisker plots display ranges within variables measured.

Read more about Box and Whisker Plot at; brainly.com/question/26613454

#SPJ1

8 0
2 years ago
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