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2 years ago

Find the measure of the missin angles (b and c

Mathematics

1 answer:

nydimaria [60]2 years ago

3 0

b = 133

c + 133 = 180

c = 180 - 133

c = 47

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The dimensions of a wooden bench shaped like a rectangular prism are 6' x 3.5' x 2.5'. What is the volume of the bench in cubic

Dafna11 [192]

Answer:

Step-by-step explanation:

Volume of a rectangular prism

V=l*w*h

V=6*3.5*2.5=52.50 ft^3

8 0

2 years ago

Write an expression that shows 15 more than times 3

Alisiya [41]

Answer:

15>x*3

i don't know what you tried to say but this is what I think the answer is.

5 0

3 years ago

If cos(θ)=2853 with θin Q IV, what is sin(θ)?

marysya [2.9K]

Answer: $\sin \theta=\frac{-45}{53}$

Step-by-step explanation:

Since we have given that

$\cos\theta=\frac{28}{53}$

And we know that θ is in the Fourth Quadrant.

So, Except cosθ and sec θ, all trigonometric ratios will be negative.

As we know the "Trigonometric Identity":

$\cos^2\theta+\sin^2\theta=1\\\\\sin \theta=\sqrt{1-\cos^2\theta}\\\\\sin \theta=\sqrt{1-(\frac{28}{53})^2}=\sqrt{\frac{53^2-28^2}{53^2}}\\\\\sin \theta=\sqrt{\frac{2025}{53^2}}\\\\\sin \theta=\frac{45}{53}$

It must be negative due to its presence in Fourth quadrant.

Hence, $\sin \theta=\frac{-45}{53}$

7 0

3 years ago

Sine, cosines and tangent of 30 45 and 60 degrees

bonufazy [111]

Answer:

Sine 30 =

$\frac{1}{2}$

Sine 45 =

$\sqrt{ \frac{2}{2} }$

Sine 60 =

$\sqrt{ \frac{3}{2} }$

Cos 30 =

$\sqrt{ \frac{3}{2} }$

Cos 45 =

$\sqrt{ \frac{2}{2} }$

Cos 60 =

$\frac{1}{2}$

Tan 30 =

$\sqrt{ \frac{3}{3} }$

Tan 45 =

$1$

Tan 60 =

$\sqrt{3}$

Step-by-step explanation:

I hope it helps

3 0

3 years ago

The lines shown below are perpendicular. If the green line has a slope of a

Georgia [21]

Answer:

-4/3

Step-by-step explanation:

since the both lines are perpendicular the product of their slopes equals -1
let m be the slope of the red line
m*a = -1
m = -1/a
a = (8-5)/(0-(-4)) = 3/4
so m = -4/3

6 0

3 years ago