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Juli2301 [7.4K]
3 years ago
12

find the missing variable. if necessary, give the answer in simplest radical form. show your work. solve for question 3).a)

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0
Notice the picture below, the perpendicular line from the right-angle,
makes up 3 similar triangles, including the big one containing the small ones

so, you have three similar triangles, one large, a medium and a small one

now, using proportions for those folks, we end up with

\bf \cfrac{\textit{large side}}{\textit{small side}}\qquad \cfrac{25}{x}=\cfrac{x}{9}
\\\\

\\\\
\cfrac{\textit{small side}}{\textit{medium side}}\qquad \cfrac{y}{16}=\cfrac{9}{y}
\\\\

\\\\
\cfrac{\textit{medium side}}{\textit{large side}}\qquad \cfrac{z}{25}=\cfrac{16}{z}

solve for "x,y and z"

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2sin^2 2x=2<br><br> In the domain [0,2pi)<br><br> What can x equal ( in radians).
lions [1.4K]
Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,


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\bf \measuredangle 2x=sin^{-1}(\pm 1)\implies \measuredangle 2x=&#10;\begin{cases}&#10;\frac{\pi }{2}\\\\&#10;\frac{3\pi }{2}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\measuredangle 2x=\cfrac{\pi }{2}\implies \measuredangle x=\cfrac{\pi }{4}\qquad \qquad \qquad \qquad \measuredangle 2x=\cfrac{3\pi }{2}\implies \measuredangle x=\cfrac{3\pi }{4}
3 0
3 years ago
What is the answer of 7-4x=2-9x
julia-pushkina [17]
7-4x=2-9x the answer is x=1
5 0
3 years ago
Read 2 more answers
Hadley has 3/6 of a box of white envelopes and 1/3 of a box of gray envelopes. When full, each box of envelopes has the same num
QveST [7]

Answer:

<u>The two statements that apply are A and B.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

White envelopes Hadley has = 3/6 of a box

Gray envelopes Hadley has = 1/3 of a box

When full, each box of envelopes has the same number of envelopes

Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.

2. Which statements describe this situation? Select the two statements that apply.

Let's add 3/6 and 1/3

3/6 + 1/3 = 3/6 + 2/6 = 5/6

A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .   This is correct.

B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.   This is correct.

C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6.  This is wrong

D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.

<u>The two statements that apply are A and B.</u>

3 0
3 years ago
Which number is not in scientific notation? 7 ⋅ 1024 0.8 ⋅ 103 1.09 ⋅ 10–2 1.8 ⋅ 10–5
Komok [63]
0.8 x 103 because the first number cant be less then 1 or more then 9 you would have to move the decimal to make the equation correct

7 0
4 years ago
What is the base area of a cylinder with a radius of 2
Alex17521 [72]

Answer:

(pi)4 or about 12.57 sq. units

Step-by-step explanation:

The base area of a cylinder is a circle.

Since we know that the radius is 2, we can use the equation A = (pi)r^2 to find the area.

So, using this formula, the area is (2)(2)(pi), about 12.57 sq. units (area is squared!)

4 0
3 years ago
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