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Sedbober [7]
2 years ago
11

In each diagram shown below, solve for the length of side CD using the information given. Show the trig ratio you use and your a

lgebra to find your final answer. Round all answers to the nearest tenth​

Mathematics
1 answer:
pishuonlain [190]2 years ago
4 0

Applying the trigonometry ratios, we have:

a. CD = 63.6

b. CD = 33.8

c. CD = 16.1

d. CD = 15.9

<h3>What are the Trigonometry Ratios?</h3>

The trigonometry ratios are used to find a length or angle in any right triangle. They are:

  • SOH, which is sin ∅ = opp/hyp
  • CAH, which is cos ∅ = adj/hyp
  • TOA, which is tan ∅ = opp/adj

a. ∅ = 32°

hyp = 75

adj = CD

Apply CAH:

cos 32 = CD/75

CD = cos 32 × 75

CD = 63.6

b. ∅ = 56°

opp = 28

hyp = CD

Apply SOH:

sin 56 = 28/CD

CD = 28/sin 56

CD = 33.8

c.  ∅ = 43°

opp = 15

adj = CD

Apply TOA:

tan 43 = 15/CD

CD = 15/tan 43

CD = 16.1

d.  ∅ = 27°

hyp = 35

opp = CD

Apply SOH:

sin 27 = CD/35

CD = sin 27 × 35

CD = 15.9

Learn more about the trigonometry ratios on:

brainly.com/question/10417664

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Allisa [31]

The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

6 0
2 years ago
Find the distance between the two points rounding to the nearest tenth
mixas84 [53]

Answer:

8.54

Step-by-step explanation:

formula:

d=\sqrt{(x2-x1)^2 + (y2-y1)^2}

d=\sqrt{(-4 - (-7))^2 + (0-(-8))^2}

d=\sqrt{3^2 + 8^2}

d=\sqrt{9 + 64}

d=\sqrt{73}

d= 8.54

6 0
3 years ago
A rectangle has an area of 822.4 square miles and a base of 32 miles. What is the height?
JulijaS [17]
I believe it would be 25.7 miles. I just divide 822.4 by 32.
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If log3⁡⁡(4y−1)=log3⁡⁡(2y+7), what is the value of y?
Slav-nsk [51]
Knowing that there are two logs on both sides of the brackets, they cancel out. 
This leaves: 

4y-1=2y+7 (solve for y) 
4y-2y=7-1
2y=6
y=3 

Hope this helped :) 
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3 years ago
Complete the table of values for y=3-2x​
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Step-by-step explanation:

Here is a table.

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