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3 years ago

Solve the following 2-step equations for x

Mathematics

1 answer:

Olenka [21]3 years ago

8 0

X = 31.5 is the answer I’m pretty sure

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If cos θ > 0, which quadrant(s) could the terminal side of θ lie?

Sergeeva-Olga [200]

Answer:

I and IV

Step-by-step explanation:

cosine is positive/greater than 0 in quadrants I and IV. Its just a rule of the unit circle.

Can remember by All Star Trig Class

meaning all the trig funtions are positive in quadrant I

sin is positive in II

tan is positive in III

and cos is positive in IV

8 0

3 years ago

Ami has a mass of 72 kg.

il63 [147K]

${\huge{\underline{\sf{Answer}}}}$

<h3>» Ami's mass is $\sf \frac{2}{3}$ the mass of Raphael.</h3>

Solution:

Given that

Ami's mass is 72 kg and
Raphael's mass is 108 kg.

To write Ami’s mass as a fraction of Raphael's mass, we divide Ami's mass by Raphael's mass. So it is now $\sf \frac{72}{108}$ .

However, there the fraction is not yet in its simplest form, so we have to extract common factors from both the numerator and the denominator:

$\sf \frac{36 \times 2}{36 \times 3}$

= ${\boxed{\sf \frac{2}{ 3}}}$

Therefore, Ami's mass is $\sf \frac{2}{3}$ the mass of Raphael.

${\: \:}$

${\huge{\underline{\sf{Hope\:It\:Helps}}}}$

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4 0

3 years ago

A scale factor can never by greater than 1. True False

pentagon [3]

I'm 99% sure it's false

6 0

3 years ago

Read 2 more answers

The altitude of an equilateral triangle is 15. What is the length of each side?

Bogdan [553]

An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:

tan (60) = 15 / base/2
base = 10√3 = side length

6 0

3 years ago

Find the value of x such that the data set has the given mean. 98, 121, 107, 114, 110, x; mean 105

den301095 [7]

Answer:

Step-by-step explanation:

7 0

3 years ago