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3 years ago

100 points

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer:127

all you do is subtract -70 by 57 and it will give you a negative but get rid of it and you get 127 or just take the - away from -70 and add 57

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Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

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

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

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

Summary:

x = 1

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

5 0

3 years ago

Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in diameter. Will the table fit thr

NikAS [45]

Yes she will fit it because 42+84=126. 126 is more than 96.

8 0

3 years ago

Need help with question 5 please

tatyana61 [14]

Answer:

-1/6

Step-by-step explanation:

To find the slope we use

m = (y2-y1)/(x2-x1)

= (-4-8)/( 1-3)

= -12/-2

We want a line perpendicular, so we need the negative reciprocal

- (1/6)

-1/6

4 0

3 years ago

Consider the function f(x) = -4x²-9x+20. Determine f(-2)=

hoa [83]

Step-by-step explanation:

you just substitute (-2) into the x values of the above function

$f( - 2) = - 4( - 2)^{2} - 9( - 2) + 20 \\ f( - 2) = 22$

3 0

3 years ago

Solve 4 brainliest xx

irga5000 [103]

C is on the line and D is not on the line.
-1/2(-40)+1=21
-1/2(20)+1≠-11

5 0

2 years ago