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marishachu [46]
3 years ago
10

[[ 20 POINTS IF YOU ANSWER THIS QUESTION CORRECTLY. ]]

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer: the height of the kite is 106.065 ft

Step-by-step explanation:

The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Therefore,

Sin 45 = x/150

Cross multiplying, it becomes

x = 150Sin45 = 150 × 0.7071

x = 106.065 ft

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What is the solution to the system of eqautions? y=2/3x+3, x=-2
morpeh [17]
Answer:
(-2, 5/3)
Step-by-step explanation:
Step 1: Write out systems of equations
y = 2/3x + 3
x = -2
Step 2: Substitution
y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3
Step 3: Write solution
(-2, 5/3)
8 0
3 years ago
According to the diagram below, which similarity statements are true?
Katarina [22]

The correct statements about similarity of triangles are A, B, and C.

<h3>What is a similar triangle?</h3>

Similar triangles are triangles that have the same shape, but their sizes may vary. This type of triangles are said to have congruent angles and corresponding sides.

From the given figure,

  • triangle ABC is a right triangle and triangle BDC is also a right triangle
  • triangle ABC is a right triangle and triangle ADB is also a right triangle
  • angle ABD is 45 and angle BCD is also 45 degrees.

Thus, the correct statements about similarity of triangles are A, B, and C.

Learn more about similar triangles here: brainly.com/question/2644832

#SPJ1

3 0
2 years ago
Read 2 more answers
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
Factor 15x +35 using GCF
pshichka [43]
The Greatest common factor of both should be 5.
7 0
4 years ago
Read 2 more answers
(10 points)
kiruha [24]

Step-by-step explanation:

Im not sure ut it looks like 3x over 3x would cancel eachother out.

8 0
3 years ago
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