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2 years ago

Can i plz have some help with this

Mathematics

2 answers:

Arte-miy333 [17]2 years ago

7 0

Answer:

In this case, the angles are vertical. Option B

Step-by-step explanation:

When angles are adjacent, that means that they are right next to each other.

When angles are vertical, that means the opposite sides are equal.

When angles are supplementary, that means they add up to 180 degrees.

When angles are complementary, that means they add up to 90 degrees.

In this case, the angles are vertical. Option B

Klio2033 [76]2 years ago

4 0

Answer:

I think they're vertical angles

x~Shaun

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given that sin theta= 1/4, 0 is less than theta but less than pi/2, what is the exact value of cos theta

lapo4ka [179]

Answer:

$\cos{\theta} = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

For any angle $\theta$ , we have that:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

Quadrant:

$0 \leq \theta \leq \frac{\pi}{2}$ means that $\theta$ is in the first quadrant. This means that both the sine and the cosine have positive values.

Find the cosine:

$(\sin{\theta})^{2} + (\cos{\theta})^{2} = 1$

$(\frac{1}{4})^{2} + (\cos{\theta})^{2} = 1$

$\frac{1}{16} + (\cos{\theta})^{2} = 1$

$(\cos{\theta})^{2} = 1 - \frac{1}{16}$

$(\cos{\theta})^{2} = \frac{16-1}{16}$

$(\cos{\theta})^{2} = \frac{15}{16}$

$\cos{\theta} = \pm \sqrt{\frac{15}{16}}$

Since the angle is in the first quadrant, the cosine is positive.

$\cos{\theta} = \frac{\sqrt{15}}{4}$

3 0

2 years ago

21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900

lutik1710 [3]

Answer:

$y=75x+150$

Step-by-step explanation:

Let $y$ represent the number of monitors sold.

Given:

$x$ is the number of years since 1990.

So, for the year 1990, $x=0$ .

For the year 2000, 10 years passed. So, $x=10$ .

Now, monitors sold in 1990 are 150. So, at $x=0,y=150$

Monitors sold in 2000 are 900. So, at $x=10,y=900$

Thus, the two points are $(0,150)$ and $(10,900)$ .

The slope of a line with points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

For the points $(0,150)$ and $(10,900)$ , the slope is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75$

Now, the y-intercept is the point where $x=0$ . So, the point $(0,150)$ has $x$ value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

$y=mx+b$

Where, $m$ is the slope and $b$ is the y intercept.

Here, $m=75$ and $b=150$ .

Therefore, the equation that represents the above data is given as:

$y=75x+150$

7 0

2 years ago

The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per

Nikitich [7]

So we just need to plug in our values and solve
$v = 20 \sqrt{273 + t}$
we are given v is 369 so we have
$369 = 20 \sqrt{273 + x}$
now we solve for x.
divide both sides by 20
square both sides
subtract 273 from both sides
$369 = 20 \sqrt{273 + x} \\ 18.45 = \sqrt{273 + x} \\ 340.40 = 273 + x \\ x = 67.4$
so a temp of about 67 degrees C

5 0

2 years ago

Read 2 more answers

IGIVEEEEEEEEEEEEEEEEE BRAINLILSTTT

Temka [501]

Answer:

first box (x): 10

second box (y): 12

Step-by-step explanation:

HIJ is a translation of HIJ

translation just means you move the whole thing without any rotations dialations ect just moving it

from the blue shape it is asking what do you have to do to the x and y to get to the purple shape

you have to go +_x and take away _y

when you add a digit to x it moves to the right

when you add a digit to y it goes one up

because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer

im going to use J

on the blue J you can see the x value is -8

the purple J's value is 5

to get from -5 to 5 you add 10

-5+5=0

0+5=5

5+5=10

therefore the first box (x) is 10

same thing for the y value im going to use J again

blue y value of J is 7

purple y value of J is -5

their distance is 12

7-7=0

0-5=-5

7+5=12

second box (y) is 12

i hope this helps

8 0

2 years ago

Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?

snow_lady [41]

For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$ .

<h3>What is number series?</h3>

When the numbers are arranged in a series with some logic then it is called as the number series.

here we have a series:

$\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............$

The sum of the series will be given as:

$S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)$

$S_n=3 (\dfrac{1}{2})^n$

Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula $3(\dfrac{1}{2})^n$

To know more about number series follow

brainly.com/question/6561461

#SPJ1

5 0

1 year ago