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DedPeter [7]
3 years ago
10

What is the direct variation equation if y varies directly with x and y = –18 when x = 3?

Mathematics
1 answer:
nlexa [21]3 years ago
4 0
C. y = -6x

if you substitute x by 3 it would be y= -6*3 = -18 (that's what you are given)
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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.
Natasha_Volkova [10]
The correct answers are:
1) sin(x) = \frac{ \sqrt{3} }{2}
2) tan(x) = \sqrt{3}

Explanation:
Given:
cos(x) =  \frac{1}{2}

Step 1:
Since, according to the Trigonometric identity:
sin^2(x) + cos^2(x) = 1 -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x)  =  \frac{3}{4}

Step 3:
Take square-root on both sides:
\sqrt{sin^2(x)} =  \sqrt{\frac{3}{4}}

sin(x) = \frac{ \sqrt{3} }{2}

Now to find the tan(x), we would use the following formula:

tan(x) = \frac{sin(x)}{cos(x)} --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }

Hence tan(x) = \sqrt{3}
6 0
3 years ago
Read 2 more answers
Please help giving best brainliest answer !!!!!!!!!!!!!!!
Maurinko [17]
2 lines I think, not sure though
8 0
3 years ago
Irrational, rational , integer , whole , or natural ? <br><br><br><br> for numbers 1 - 4
Mumz [18]
#1- irrational
#2- whole
#3- rational
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3 0
3 years ago
2. Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular py
zalisa [80]

Answer:

124.16 cubic meter of clay will be used to create all the pyramids

Step-by-step explanation:

The remaining part of the question is given in the attached file

Solution

The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.

For Rectangular Pyramid,

Volume of three rectangular pyramids

3 * \frac{BH}{3} = BH

Substituting the given values in above equation, we get -

15.5 * 5 = 77.5 cubic centimeter

For triangular Pyramid,

Volume of two  triangular pyramids

2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}

46.67  cubic centimeter

Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid = 77.7 + 46.67 = 124.16 Cubic centimeter

5 0
3 years ago
Is 1.31 greater then 1.2?
BigorU [14]

Answer:

Yes because 1.31 and 1.2. 3 is more than 2

Step-by-step explanation:


4 0
3 years ago
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