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NARA [144]
3 years ago
14

A department store offers free samples of a 2-ounce

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

Answer:

The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary,  the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.

(If there is any more you would like to add to the question I can answer that.)

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Number 12 find x....
Len [333]

Answer:

B= 13

Step-by-step explanation:

10x-5= 180-(4x+3)

10x-5=180-4x-3

10x-5+3=180-4x

14x-2=180

14x= 180+2

14x= 182

x=182/14

x=13

7 0
3 years ago
Help please with this math ;-; I beg of you
RSB [31]

Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

A=\frac{bh}{2} where b = base length and h = height

The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49

Hence, the area of the triangle is 49 sq meters.

To find the area of circle

( note that the area is in terms of pi; shown by the answer choices. )

Formula for area of a circle = A=\pi r^2

We are given the diameter  ( 6m )

However, we need the radius

To convert diameter to radius we divide by 2

6/2 = 3 so the radius = 3m

Now we plug in 3 into the formula

A=\pi 3^2\\3^2=9\\A=9\pi

Remember we do not apply pi because the answer should be in terms of pi.

Now we subtract the two

Area of white portion = 49 - 9π

Hence, the answer is A

7 0
3 years ago
Read 2 more answers
How do you find the area of the shaded sector of the circle? The radius is 10in and the sector is 45 degrees
Step2247 [10]

Given:

Radius of the circle = 10 in

Central angle of the sector = 45 degrees

To find:

The area of the sector.

Solution:

Area of a sector is

A=\dfrac{\theta}{360^\circ}\pi r^2

Where, \theta is the central angle in degrees.

Putting r=10 and \theta=45^\circ, we get

A=\dfrac{45^\circ}{360^\circ}\pi (10)^2

A=\dfrac{1}{8}\pi (100)

A=12.5\pi

Therefore, the area of the sector is 12.5π sq. inches.

7 0
3 years ago
The length of the hypotenuse of a 30-60-90 triangle is 28 m. Find the length of the side opposite the 30 angle
____ [38]
The answer is 14 m

<span>In a 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter leg (a) which is the opposite to the 30 angle:
</span>

c = 2a


We have c = 28 m

So: 28 = 2a

      a = 28 / 2 

     a = 14 m

7 0
3 years ago
Read 2 more answers
13. In the triangle below, the sides have length x + 3, 3x - 1. and 4x. Determine the range of possible
11Alexandr11 [23.1K]

Answer:

Hence as long as x > 2/3, we can form a triangle from the three given sides.

Step-by-step explanation:

Given:

Length of 3 sides of triangle are x+3, 4x,3x-1

Solution:

From the length of the 2nd side 4x, we know that x > 0

Let this be 1 st statement.

Now from the triangle inequality we can say that;

x + 3 + 4x > 3x -1\\5x+3>3x-1\\5x-3x>-1-3\\2x>-2\\x>-1

No new information from this because of the 1st statement above.

Also,  

4x + 3x - 1 > x +3\\7x-1>x+3\\7x-x>3+1\\6x>4\\x>\frac{4}{6}\\\\x>\frac{2}{3}

Lastly,

x+3 +3x - 1 > 4x\\4x-2>4x\\4x-4x>2\\0>2

and again no new information is obtained from this inequality.

Hence as long as x > 2/3, we can form a triangle from the three given sides.

7 0
3 years ago
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