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3 years ago

What is the length of CD?

Mathematics

1 answer:

Mumz [18]3 years ago

3 0

Answer:

CD = 4.4

Step-by-step explanation:

AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:

CD/CA = DB/AB

CD = ?

CA = 5.6

DB = 4

AB = 5.1

Therefore:

CD/5.6 = 4/5.1

Cross multiply

CD*5.1 = 4*5.6

CD*5.1 = 22.4

Divide both sides by 5.1

CD = 22.4/5.1

CD = 4.39215686

CD = 4.4 (1 decimal place)

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What is the interquartile range of this data? 6 8 9

vladimir1956 [14]

Answer:

Step-by-step explanation:

Just subtract the first quartile form the third quartile.

third quartile - first quartile

32 - 8 = 24 IQR

FIRST quartile: 8

SECOND quartile: 20

THIRD quartile: 32

So the IQR is 24

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Solve 6(x + 1) > 2x - 1 x > -1/2 x > -7/4 x > 0

Bond [772]

Answer:

x > - $\frac{7}{4}$

Step-by-step explanation:

Given

6(x + 1) > 2x - 1 ← distribute parenthesis on left side

6x + 6 > 2x - 1 ( subtract 2x from both sides )

4x + 6 > - 1 ( subtract 6 from both sides )

4x > - 7 ( divide both sides by 4 )

x > - $\frac{7}{4}$

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3 years ago

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Sasha's grandma is going to sew this umbrella for Sasha. The umbrella is made of 4 identical triangles. If each triangle is 3 fe

kap26 [50]

Answer:

Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Step-by-step explanation:

Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:

(3 x 4) x 4 = X

12 x 4 = X

48 = X

Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

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3 years ago

What is the total area of the pinwheel?

prohojiy [21]

Answer: A: 10.4 in^2

Step-by-step explanation:

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2 years ago

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6x+9/x-5 x is not equal to 5 find inverse

algol [13]

You have f(x)=(6x+9)/(x-5) and want to find the inverse function? Please note that the parentheses are obligatory here.

1. Replace "f(x)" with y: y = (6x+9)/(x-5)

2. Interchange the variables x and y: x = (6y+9)/(y-5)

3. Solve this result for y: x(y-5) = (6y+9), or xy-5x = 6y+9. Then:

xy-6y = 9 + 5x, or y(x-6) = 9+5x
9+5x
Then y = --------------
x-6

Here x may not = 6, because division by zero would occur otherwise.

3 0

3 years ago