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maxonik [38]
3 years ago
5

Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string

with the ground is 42.5∘. How high is Mark's kite above the ground? Find your answer to the nearest tenth.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

Answer:

The kite is 202.7 feet above the ground

Step-by-step explanation:

The scenario is depictedd in the picture attached

we have to find the height.

Trigonometric ratios will be used to find the height.

So,

sin\ (42.5) = \frac{h}{300}\\ 0.6756=\frac{h}{300}\\0.6756*300=h\\202.68 = h

The height is 202.68 feet

Rounding off to the nearest tenth

202.7 feet

Therefore, the kite is 202.7 feet above the ground ..

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Lena reflected this figure across the x-axis. She writes the vertices of the image as A'(−2, 8), B'(−5, 6), C'(−8, 8), D'(−4, 2)
garik1379 [7]

Answer:

Option A) she reflected the pre-image across the y-axis

Step-by-step explanation:

we know that

When reflect a point across the the x-axis the rule of the reflection is equal to

(x,y) -----> (x,-y)

When reflect a point across the the y-axis the rule of the reflection is equal to

(x,y) -----> (-x,y)

In this problem we have

A(2,8),B(5,6),C(8,8),D(4,2)

Applying the rule of the reflection across the x-axis

The coordinates of the image would be

A'(2,-8),B'(5,-6),C'(8,-8),D'(4,-2)

Applying the rule of the reflection across the y-axis

The coordinates of the image would be

A'(-2,8),B'(-5,6),C'(-8,8),D'(-4,2)

therefore

she reflected the pre-image across the y-axis.

8 0
3 years ago
Toucans and blue-and-yellow macaws are both tropical birds. The length of the toucan in the picture to the right is about
Sliva [168]

Answer:

14.67 in. long

Step-by-step explanation:

8 0
3 years ago
How do find the height of the parallelogram?
Yanka [14]
You need to multiply the base by the height.
5 0
3 years ago
The expressions 10/12(245b−365) and 2/3(3b+6) represent the lengths of the diagonals of parallelogram WXYZ. For what value of b
makkiz [27]

Answer:

b = 1.52

Step-by-step explanation:

Length of diagonals of a parallelogram = \frac{10}{12}(245b - 365) and \frac{2}{3}(3b+6)

If the given parallelogram is a rectangle,

Length of the diagonals will be equal in measure,

Therefore, \frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)

245b - 365 = \frac{12}{10}\times \frac{2}{3}(3b+6)

245b - 365 = \frac{4}{5}(3b+6)

5(245b - 365) = 4(3b + 6)

1225b - 1825 = 12b + 24

1225b - 12b = 24 + 1825

1213b = 1849

b = \frac{1849}{1213}

b = 1.52

5 0
3 years ago
Which do you think is easier to understand and why do you think so, multiplying radicals or multiplying polynomials?
Vera_Pavlovna [14]

I believe that its easier to understand the multiplication of a radical than that of a polynomial.

<h3>How to illustrate the information?</h3>

In mathematics, a radical is the opposite of an exponent that is represented with a symbol '√' also known as root.

A polynomial is an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.

When multiplying radicals with the same index, multiply under the radical, and then multiply in front of the radical. An example is:

= 3✓2 × 4✓2

= 12✓4

= 12 × 2

= 24

The multiplication of a radical is easier.

Learn more about polynomial on:

brainly.com/question/2833285

#SPJ1

3 0
2 years ago
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