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3 years ago

Consider the following figure.

Mathematics

1 answer:

Karolina [17]3 years ago

4 0

Answer:

BD = 16

Step-by-step explanation:

By applying mean proportional theorem in the given right triangles,

$\frac{AD}{BD}=\frac{BD}{CD}$

AD × CD = BD²

8 × 32 = BD²

BD = √256

BD = 16

Therefore, measure of side BD = 16 units.

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In a certain Algebra 2 class of 28 students, 23 of them play basketball and 12

erica [24]

Answer:

5/14

Step-by-step explanation:

P(A or B) = P(A) + P(B) − P(A and B)

25/28 = 23/28 + 12/28 − P(A and B)

P(A and B) = 10/28

P(A and B) = 5/14

3 0

3 years ago

Find the missing length

natka813 [3]

Answer:

x = 45

Step-by-step explanation:

Corresponding sides of similar triangles will be in same ratio.

$\dfrac{x}{x+18}=\dfrac{20}{28}$

Cross multiply

x*28 = 20*(x+18) {Use distributive method}

28x = 20x + 360

28x - 20x = 360

8x = 360

x = 360/8

x = 45

3 0

2 years ago

A volleyball court is shaped like a rectangle. it has a width of x meters and a length of 2x meters which expression gives the a

ANEK [815]

you don't list any expressions to choose from but

if width = x

and length = 2x

Area = 2x * x

Area = 2x^2

8 0

3 years ago

What is the base 8 representation of the number 11100111(2)

kondor19780726 [428]

Remark

You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.

Step One

Write the base 2 number in groups of 3 starting from the right and going left

11 100 111

Step Two

Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7

11 = 2*1 + 1 = 2 + 1 = 3

100 = 1*2^2 = 4

111 = 1*2^2 + 1*2 + 1 = 7

Step Three

Read the answer going down.

347 is the answer

Answer

347(8) = C

5 0

3 years ago

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume

Assoli18 [71]

Answer: $d=18t$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the constant of proportionality.

In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.

With this information you can write the following equation:

$d=kt$

According to the exercise, the constant of proportionality is:

$k=18$

Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:

$d=18t$

4 0

3 years ago