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3 years ago

What terms apply to angle Dea and angle aeb

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Answer:

What is angle "Dea"

Step-by-step explanation:

And what is "aeb"

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1/2=4p what does p equal

disa [49]

P = what times 4 equals 1/2 = 1/8

3 0

3 years ago

The pair of values below is from a direct variation. Find the missing number.

NISA [10]

Answer:

The answer is 2.

2 since 6/4=3/2

Step-by-step explanation:

Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)

If y=kx then y/x=k.

So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.

So we are going to solve this proportion:

$\frac{6}{4}=\farc{3}{x}$

Again I put y/x from each point. They should have same ratio because this is a direct variation.

Cross multiply:

$6(x)=4(3)$

$6x=12$

Divide boht sides by 6:

$x=\frac{12}{6}$

$x=2$

6 0

3 years ago

Read 2 more answers

A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a

kkurt [141]

Answer:

$b=h=\sqrt{6}$ m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box= $2b^2+4bh$

$2b^2+4bh=36$

$b^2+2bh=18$

$2bh=18-b^2$

$h=\frac{18-b^2}{2b}$

Volume of box, V= $b^2h$

Substitute the values

$V=b^2\times \frac{18-b^2}{2b}$

$V=\frac{1}{2}(18b-b^3)$

Differentiate w. r.t b

$\frac{dV}{db}=\frac{1}{2}(18-3b^2)$

$\frac{dV}{db}=0$

$\frac{1}{2}(18-3b^2)=0$

$\implies 18-3b^2=0$

$\implies 3b^2=18$

$b^2=6$

$b=\pm \sqrt{6}$

$b=\sqrt{6}$

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

$\frac{d^2V}{db^2}=-3b$

At $b=\sqrt{6}$

$\frac{d^2V}{db^2}=-3\sqrt{6}$

Hence, the volume of box is maximum at $b=\sqrt{6}$ .

$h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}$

$h=\frac{18-6}{2\sqrt{6}}$

$h=\frac{12}{2\sqrt{6}}$

$h=\sqrt{6}$

$b=h=\sqrt{6}$ m

7 0

3 years ago

What is the quotient?

Ierofanga [76]

Answer:

3/2

Step-by-step explanation:

For dividing rational expressions such as the one given, we use the same concept that we use when dividing fractions.

Thus, we multiply the first expression with the second expression's reciprocal as shown below.

$\frac{2m + 4}{8} \div \frac{m + 2}{6}$

$\frac{2(m + 2)}{8} \times \frac{6}{m + 2}$

We can cancel common factors and simplify the product. Hence, we have

$\frac{2(6)}{8}$

$\frac{3}{2}$

Therefore, the quotient of the expressions is equal to 3/2.

6 0

2 years ago

Jessica wrote a computer program to create colored shapes. The shapes are either squares or circles and both are equally likely.

Alik [6]

Answer: 16 2/3%

Step-by-step explanation:

Given that:

Shape are either square or circle with both equally likely :

Hence,

P(square) = 1/2 ; P(circle) = 1/2

Color are either blue, red or green with the three equally likely ;

P(red) = 1/3 ; P(green) = 1/3 ; P(blue) = 1/3

Probability of creating a green circle :

Independent probability

P(green n circle) = p(green) * p(circle)

P(green n circle) = 1/3 * 1/2

P(green n circle) = 1/6

= 0.16666

(0.16666 * 100%) = 16.6666%

= 16 2/3%

7 0

3 years ago