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Scilla [17]
3 years ago
8

If 5/8 of the people in a water aerobics class are over age 65 and 1/4 of the people in the class are under age 40, what fractio

n of the people in the class are either over 65 or under 40?
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

7/8

Step-by-step explanation:

You just need to add the two fractions together. Since no one can be both, no  other revision is needed.

5/8 + 1/4 = 5/8 + 2/8 = 7/8

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HELP URGENT BRAINLIEST
nadya68 [22]

Given:

LMN is an equilateral triangle.

LM = LN = MN = 12 cm

To find:

The height of the triangle h.

Solution:

In a right angle triangle,

\sin \theta=\dfrac{Opposite}{Hypotenuse}

\sin (60^\circ)=\dfrac{h}{12}

\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}

Multiply both sides by 12.

\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12

6\sqrt{3}=h

Therefore, the height of the triangle is 6\sqrt{3} cm.

3 0
2 years ago
CAN SOMEONE PLEASE HELP ME WITH MY GEOMETRY HOMEWORK!!!! I DON'T UNDERSTAND WHAT I'M SUPPOSED TO DO SO CAN SOMEONE PLEASE HELP M
MAVERICK [17]

Answer:

  see attached

Step-by-step explanation:

Dilation is the transformation that changes the size of something. When you choose ×110% on a copy machine, you are making all the dimensions in the copy equal to 1.1 times the dimensions of the original, for example. That is dilation by a factor of 1.1, or 110%.

Here, you're asked to dilate triangle ABC by a factor of 3. That means all of the dimensions on the dilated figure will be 3 times their length on the original.

The center of dilation is point P. That means all the distances from point P are multiplied by 3.

In the attached figure, a gray arrow has been drawn from point P to each of the points A, B, and C. Then two more arrows of the same length are drawn in the same direction. The total distance at the end of the 3 arrows is 3 times the original distance from point P. These are the points A', B', and C' you are asked to draw. Connecting these points gives the dilated triangle A'B'C'.

___

You could think of point P (the center of dilation) as having coordinates (0, 0). Then points A, B, and C would have coordinates A(-4, 0), B(0, -3), and C(-4, -3). To dilate these points by a factor of 3, multiply each coordinate value by 3: A'(-12, 0), B'(0, -9), C'(-12, -9). You will see that these are the coordinates of the vertices of the dilated triangle.

4 0
3 years ago
Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio
o-na [289]
The ratio is rational and by multiplying or dividing the numbers included in the ratio by the same number, it's just like taking a fraction and taking it out of simplest form, it doesn't change the value of the ratio or the fraction in simplest form, it just changes the numbers

6 0
3 years ago
I chose the lion (50 mph) and the elephant, (25 mph), i need help writing a system of two linear equations showing the distance
IgorC [24]
So basically sense the lion is 50 and the elephant is 25 that’s half of 50 so if you find the lion’s distance you divide it by to and that’s the answer
4 0
3 years ago
two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
Rashid [163]

Answer:

The first mechanic charges $105 per hour, and the second mechanic charges $90 per hour.

Step-by-step explanation:

If x is the rate of the first mechanic, and y is the rate of the second mechanic, then:

10x + 5y = 1500

x + y = 195

Solve the system of equations using elimination or substitution.  Using substitution:

10x + 5 (195 − x) = 1500

10x + 975 − 5x = 1500

5x = 525

x = 105

y = 195 − x

y = 90

The first mechanic charges $105 per hour, and the second mechanic charges $90 per hour.

4 0
2 years ago
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