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kirill [66]
3 years ago
8

The two triangles are congruent. Find the unknown variables.

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

what to find

I think it contain figure

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Solve the equation. 8x2 – 4 = 28
Flura [38]
Hello,

Your answer would be 2, -2.

8x^2 - 4 = 28

8x^2-4+4=28+4

8x^2 = 32

\frac{8x^2}{8}=  \frac{32}{8}  


x^2 = 4

x = +/4 

x = 2 or x = -2

2 , -2 would be the answer! :)


Mark Brainliest if this helped you :)
4 0
3 years ago
Read 2 more answers
Express .32 as a fraction
nikdorinn [45]

Answer: 8/25

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.32 is thirty-two hundredths so we can write 0.32 as 32/100.

Since 32/100 is not in lowest terms, we divide both the numerator and the denominator by 4 and we get the equivalent fraction 8/25.

This means that 0.32 can be written as the fraction 8/25 which is in lowest terms.

4 0
3 years ago
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
The variance of a stock's returns can be calculated as the:
Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}

where, \overline{x} is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0
4 years ago
If the perimeter of a triangle is 45 cm and the ratio of the 3 sides is 2:3:4, find the length of all 3 sides
frozen [14]

Answer:

Below.

Step-by-step explanation:

2 + 3 + 4 = 9 so

the smallest side = 2/9 * 45, the next = 3/9 * 45 and the longest = 4/9 *45.

= 10, 15 and 20 cm.

5 0
3 years ago
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