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zloy xaker [14]
3 years ago
9

SOLVE AND SHOW WORK PLSSSS!! Find the length of the missing sides. Do not round (leave in simplified radical form).

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13

Step-by-step explanation:

For the first triangle,

cos(45°)=7/hypotenuse

hypotenuse×cos45=7

hypotenuse×√2/2=7

hypotenuse=14/√2=7√2

We can now find the adjacent side using Pythagorean theorem,

√(7√2)²-7²=7

For the second triangle,

cos(30°)=adjacent/hypotenuse

but cos 30=√3/2

√3/2=adjacent/26(cross multiply and simplify)

26√3/2=13√3

To find the opposite length,

√(26)²-(13√3)²=13

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write the equation of a line in slope intercept form that is parallel to the line x+5y=10 and goes through the point (-5,6)
lilavasa [31]

Answer:

The equation would be y = -1/5x + 5

Step-by-step explanation:

To find the equation of this new line, we first need to identify the slope of the first line. We do this by putting it into slope intercept form.

x + 5y = 10

5y = -x + 10

y = -1/5x + 2

In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -1/5. Since parallel lines have the same slope, our new slope will also be -1/5.

Given that and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y - 6 = -1/5(x + 5)

y - 6 = -1/5x - 1

y = -1/5x + 5


4 0
4 years ago
What is the common value for all of these expressions?<br> 4.5 / 0.09 45 / 0.9 450 / 9 4,500 / 90
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Four, five and nine……
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2 years ago
PLEASE PLEASE HELP ME PLEASE<br> Which radical expressions are equivalent to
pshichka [43]

Answer:

A and C  

Step-by-step explanation:

\left (2^{\frac{1}{6}} \right)^{9} = 2^{\frac{3}{2}} = \left (2^{3} \right)^\frac{1}{2}= 8^{\frac{1}{2}} = \sqrt{8}\\\left (2^{\frac{1}{6}} \right)^{9} = \left(2^{9}\right)^{\frac{1}{6}} = \left(512\right)^{\frac{1}{6}}= \sqrt[6] {512}

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Here is a set of signed numbers: 7, -3, 1/2, -0.8, 0.8, -1/10, -2 Order the numbers from least to greatest. I put the order -1/1
vichka [17]

Answer:

You answer is incorrect. The correct answer is -3, -2, -0.8, -1/10, 1/2, 0.8, 7.

Step-by-step explanation:

-3 is the smallest and 7 is the greatest.

1/2 is 0.5, which is smaller than 0.8.

-1/10 is -0.1, which is greater than -0.8.

-2 is greater than -3.

8 0
3 years ago
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