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ludmilkaskok [199]

2 years ago

15

In the triangle below,

1 answer:

defon2 years ago

3 0

Answer: y ≈ 10.6 cm

Step-by-step explanation:

The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.

cos(20°) = (10 cm)/y

y = (10 cm)/cos(20°)

y ≈ 10.6 cm

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Please help I really need it on this one thank you

Bond [772]

(-7) * 8 = -56

answer
A. -56

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7 0

3 years ago

Kevin is an employee at Good Deal Electronics. The electricity is not working one day after a thunderstorm, but Kevin still has

dimulka [17.4K]

Answer:

56

Step-by-step explanation:

7 0

2 years ago

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If f(x) = -3x + 4, find f(3x + 3)

Alex17521 [72]

Remark

What this is telling you to do is put 3x + 3 in the question wherever there was an x to start with.

Solution

f(x) = -3x + 4

f(3x + 3) = - 3(3x + 3) + 4

f(3x + 3) = -3*3x + (-3)*(3) + 4

f(3x + 3) = - 9x - 9 + 4

f(3x + 3) = -9x - 5 <<<<< Answer

8 0

3 years ago

Read 2 more answers

What is the value of s and the length of side BC if ABCD is a rhombus?

Natali5045456 [20]

Step 1

<u>Find the value of s</u>

we know that

In a Rhombus all sides are congruent

so

$AB=BC=CD=DA$

$AB=9s+29\\CD=10s-16$

equate AB and CD

$9s+29=10s-16\\$

Combine like term

$10s-9s=29+16\\$

$s=45\ units$

<u>The answer Part a) is</u>

the value of s is $45\ units$

Step 2

<u>Find the value of side AB</u>

$AB=9s+29$

substitute the value of s

$AB=9*45+29=434\ units$

Remember that the sides are congruent

$AB=BC=CD=DA$

therefore

<u>the answer Part b) is</u>

The length of the side BC is $434\ units$

4 0

3 years ago

Read 2 more answers

The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m

Keith_Richards [23]

Answer:

a) $\left(x,y\right)=\left(4.95,-4.95\right)$

b) $r\angle\theta = 7\angle0.5236\,\text{radians}$

Step-by-step explanation:

Polar coordinates are represented as: $r\angle\theta$ , where 'r' is the length (or magnitude) of the line, and ' $\theta$ ' is the angle measured from the positive x-axis.

in our case:

$7\angle\dfrac{3\pi}{4}$

to covert the polar to cartesian:

$x = r\cos{\theta}$

$y = r\sin{\theta}$

we can plug in our values:

$x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}$

$y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}$

the Cartesian coordinates are:

$\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)$

$\left(x,y\right)=\left(4.95,-4.95\right)$

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

$r^2 = x^2+y^2$

$r^2 = (6.06)^2+(-3.5)^2$

$r = \sqrt{48.97} \approx 7$

the angle can be found by:

$\tan{\theta} = \dfrac{y}{x}$

$\tan{\theta} = \dfrac{3.5}{6.06}$

$\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}$

$\theta = 0.5236 \text{radians}$

to convert radians to degrees:

$\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ$

writing in polar coordinates:

$r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}$

5 0

3 years ago