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tino4ka555 [31]
3 years ago
8

Choose a value that breaks this gem into 5 equal pieces. 25% 50% 10% 20% 200

Mathematics
1 answer:
Stolb23 [73]3 years ago
6 0
20%, because 100/5=20
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Which basic trigonometric identity would you use to verify that tan x cos x =sin x
True [87]

Answer:

\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}

Step-by-step explanation:

\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}

7 0
3 years ago
Duncan had 3.8 gallons of paint and used 1.89 gallons for a poster. How much paint did Duncan have left after painting the postu
nadezda [96]
1.91 gallons left
3.8-1.89= 1.91 gallons
5 0
3 years ago
Read 2 more answers
The measure of an angle is 8 degrees less than three times te measure another angle. If the two angles are supplementary, what i
tatyana61 [14]
Let's solve this problem step-by-step.

First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:

Equation No. 1 -
x + y = 180°

After reading the problem, we can convert it into an equation as displayed as the following:

Equation No. 2 -
3x - 8 + x = 180°

Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:

Equation No. 1 -
x + y = 180°
y = 180 - x

Then, let's make (x) the subject in the second equation & solve as displayed below:

Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°

After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:

y = 180 - x
y = 180 - ( 47 )
y = 133°

We are now able to establish that the value of the two angles are as follows:

x = 47°
y = 133°

In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.

133 is greater than 47 as displayed below:

133 > 47

Therefore, the measure of the larger angle is 133°.
4 0
3 years ago
Help me please 12 and f
zimovet [89]

Answer:

It is not equivalent.

Step-by-step explanation:

You have to expand the brackets :

(x-4)(x+3)

= x(x) + x(3) - 4(x) - 4(3)

= x² + 3x - 4x - 12

= x² - x - 12

Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.

6 0
3 years ago
an automobile with a mass of 1200 kg accelerates at a rate of 3.0 <img src="https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D" id="TexForm
r-ruslan [8.4K]

Answer:

3600 N forward

Step-by-step explanation:

Use Newton's second law.

F = ma

F = 1200 kg × 3.0 m/s²

F = 3600 N

4 0
3 years ago
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