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anygoal [31]
3 years ago
7

Find the area of the triangle. Figure is not drawn to scale. Show your work. (Image attached)

Mathematics
1 answer:
Zolol [24]3 years ago
4 0

Answer: 13.8cm^2

Step-by-step explanation:

The area of a triangle can be calculated with the formula:

A_{(triangle)}=\frac{b*h}{2}

The base of the triangle is "b" and the height of the triangle is "h",

In the figure you can observe that the base and the height of the triangle are:

b=6.9cm\\h=4cm

Knowing these values, you can substitute them into A_{(triangle)}=\frac{b*h}{2}.

Therefore, the area of the triangle is:

A_{(triangle)}=\frac{(6.9cm)(4cm)}{2}

A_{(triangle)}=13.8cm^2

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The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a box
Finger [1]

Answer:

Step-by-step explanation:

Box plot is enclosed.

To find out 5 number summary

3.0, 3.5, 4.5, 5.5, 6.5, 6.5, 7.0, 7.0, 7.0, 7.0, 7.0, 7.5, 8.0, 9.0, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5}

Minimum: 3.0

Quartile Q1: 6.5

Median: 7

Quartile Q3: 9

Maximum: 9.5

Besides we find that

Average (mean): μ=7.25

Absolute deviation: 30.5

Mean deviation: 1.525

Minimum: 3.0

Maximum: 9.5

Variance: 3.7125

Standard deviation σ=1.926

4 0
3 years ago
Help me solve this and please explain to me. :(:
aalyn [17]

Answer:

E = 50

D  = 150

Step-by-step explanation:

We know that the exterior angle is equal to the sum of the opposite interior angles

D + E = 200

D = 3E

Substituting that into the equation

3E + E = 200

Combing terms

4E = 200

Divide by 4

4E /4 = 200/4

E = 50

D = 3E

D = 3*50 = 150

8 0
3 years ago
Read 2 more answers
Three ways to write 3 to the 5th power
cestrela7 [59]

First expression

=>  3 x  3 x  3 x 3 x 3 – In this expression, we multiplied 3 5 times and the product is 243

Second expression

=> 3 ^ 5 , in where ^ read as raised to the power. , the product is also 243

Third expression

=> 3^2 x 3 ^3

=> (3 x 3) x (3 x 3 x 3)

=> 9 x 27, the product is also equals to 243.

7 0
3 years ago
Read 2 more answers
The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W
Harrizon [31]

Answer:

V=36 \pi cubic inches

Step-by-step explanation:

Diameter is increasing at 3 inches more than time, When t = 3

Diameter (d) = 3+3 = 6

d = 6

Radius is HALF of diameter, so

r = 6/2 = 3

Now, the volume of a sphere is given by the formula:

V=\frac{4}{3}\pi r^3

Putting r = 3, we get:

V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi

The volume would be 36π

5 0
3 years ago
Jim is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far?
Advocard [28]
You have to subtract 5/4 by 2/3 but in order to do that you must find a common denominator or least common multiple so the least common denominator of 4 and 3 is 12 so you have to multiply 4 by 3 and three by 4 to make both denominators 12 but you have to do the same thing on the top as you did the bottom so: 5/4*3= 15/12 and 2/3*4=8/12 Then 15/12-8/12 is 7/12 so Jim has to run 7/12 more
7 0
3 years ago
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