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4 years ago

14

Need help with this question

1 answer:

yulyashka [42]4 years ago

5 0

Answer:

2√11

Step-by-step explanation:

The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:

h² = 6² +8² = 100

The length of x is given by that same theorem:

h² +x² = 12²

x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value

x = √44 . . . . . . . . take the square root

x = 2√11 . . . . . . . simplify the root

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What is the length of the side labeled x cm?

UkoKoshka [18]

When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
</span>
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3 years ago

On a scale where the Sun is about the size of a grapefruit and Earth is about 15 meters away, how far away are the nearest stars

UNO [17]

Answer:

About the distance across the United States or 3800 km (23612 miles)

Step-by-step explanation:

$\frac{x15.10^9}{3.8.10^16}\\\\$ $=\frac{15}{x}$

$15x=\frac{57.10^16}{10^9}$

$x=\frac{57.10^7}{15}$

x=3.8. $10^7$

7 0

3 years ago

Find the sum. <br> (-3p^3+5p^3-2p)+(-p^3-8p^2-15p)

inysia [295]

The sum is $p^3 -8p^2-17p$

<em><u>Solution:</u></em>

Given that we have to find the sum

<em><u>Given expression is:</u></em>

$(-3p^3+5p^3-2p) + (-p^3-8p^2-15p)$

We have to add both the expressions

Addition of two polynomials involves combining like terms present in the two polynomials

Like terms are the terms having same variable and same exponent

From given expression,

$(-3p^3+5p^3-2p) + (-p^3-8p^2-15p)$

Remove the parenthesis and add

$-3p^3+5p^3-2p-p^3-8p^2-15p$

Combine the like terms

$-3p^3+5p^3-p^3-8p^2-2p-15p$

Add the like terms

$p^3 -8p^2-17p$

Thus the sum is $p^3 -8p^2-17p$

4 0

4 years ago

Use fraction bars and the rules of dividing signed numbers to divide. The quotient is

Evgesh-ka [11]

hello! your answer is 4. I just completed the assignment and got it correct. Hope it helps.

8 0

3 years ago

Read 2 more answers

Find the perimeter of the trapezoid.<br> 16<br> 7<br> 5<br> 4<br> 20<br> Plz plz help

stiv31 [10]

Answer:

48

Step-by-step explanation:

7+16+5+20=48

5 0

3 years ago