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3 years ago

If AAED AACB, which must be true?

Mathematics

1 answer:

Citrus2011 [14]3 years ago

7 0

Answer:

I am pretty sure it's A, 85% sure

Step-by-step explanation:

Sorry wasn't a ton of help, ignore if there is a better answer but you seem like in a rush

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An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water what is the probability of gett

Anna [14]

Answer: $\dfrac{3}{8}$

Step-by-step explanation:

Given: An ice chest contains 3 types of drinks: 10 apple juries 15 grape juices and 15 bottles of water.

Total drinks= 10+15+15 = 40 (Total outcomes)

Number of drink that does not contain fruit juice = Number of bottles of water = 15 (Favorable outcomes)

The probability of getting a drink that does not contain fruit juice = $\dfrac{Favorable\ outxcomes}{Total\ outcomes}$

$=\dfrac{15}{40}\\\\=\dfrac{3}{8}$

So, the required probability = $\dfrac{3}{8}$ .

7 0

3 years ago

What is the least common multiple of 4 and 8

Ray Of Light [21]

Answer: 8

Step-by-step explanation: To find the least common multiple or (lcm) of 4 and 8, let's begin by listing the first few multiples of each number.

Multiples of 4

1 × 4 ≈ 4

2 × 4 ≈ 8

3 × 4 ≈ 12

4 × 4 ≈ 16

Notice that we skipped 0 × 6 in our list of multiples and this is because 0 × 4 is equal to 0 and our least common multiple can't be 0.

Now, let's list the multiples of 8. When listing the multiples of 8, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.

Multiples for 8

1 × 8 = 8 ← is a multiple of 4

Notice that we can stop here because all other multiples that we find will be greater than 8. Therefore, the least common multiple or (lcm) of 4 and 8 is 8.

7 0

3 years ago

A 39-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

LenaWriter [7]

Answer:

The area of the triangle formed is increasing at a rate of 29.75 square feet per second.

Step-by-step explanation:

A 39-foot ladder is leaning against a vertical wall. We are given that the bottom of the ladder is being pulled away at a rate of two feet per second, and we want to find the rate at which the area of the triangle being formed is is changing when the bottom of the ladder is 15 feet from the wall.

Please refer to the diagram below. x is the distance from the bottom of the ladder to the wall and y is the height of the ladder on the wall.

According to the Pythagorean Theorem:

$\displaystyle x^2+y^2=1521$

Let's take the derivative of both sides with respect to time t. Hence:

$\displaystyle \frac{d}{dt}\left[x^2+y^2\right] = \frac{d}{dt}\left[ 1521\right]$

Implicitly differentiate:

$\displaystyle 2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0$

Simplify:

$\displaystyle x\frac{dx}{dt} + y \frac{dy}{dt} = 0$

The area of the triangle formed will be given by:

$\displaystyle A = \frac{1}{2} xy$

Again, let's take the derivative of both sides with respect to time t:

$\displaystyle \frac{dA}{dt} = \frac{d}{dt}\left[\frac{1}{2}xy\right]$

From the Product Rule:

$\displaystyle \frac{dA}{dt} = \frac{1}{2}\left(y\frac{dx}{dt} + x\frac{dy}{dt}\right)$

At that instant, the ladder is 15 feet from the base of the wall. So, x = 15. Using this information, find y.

$\displaystyle y = \sqrt{1521-(15)^2}=36$

The bottom of the ladder is being pulled away from the wall at a rate of two feet per second. So, dx/dt = 2. Using this information and the first equation, find dy/dt:

$\displaystyle \frac{dy}{dt} =-\frac{x\dfrac{dx}{dt}}{y}$

Evaluate for dy/dt:

$\displaystyle \frac{dy}{dt} = -\frac{(15)(2)}{(36)}=-\frac{5}{6}$

Finally, using dA/dt, substitute in appropriate values:

$\displaystyle \frac{dA}{dt} = \frac{1}{2}\left((36)(2)+(15)\left(-\frac{5}{6}\right)\right)$

Evaluate. Hence:

$\displaystyle \frac{dA}{dt} = \frac{119\text{ ft}^2}{4\text{ s}} = 29.75\text{ ft$^2$/s}$

The area of the triangle formed is increasing at a rate of 29.75 square feet per second.

8 0

3 years ago

Need to know a number bio for 5/8 break apart 3 ways

Fynjy0 [20]

Answer:

.208333... (as a fraction 5/24)

Step-by-step explanation:

5 divided by 8 = 0.625

.625 divided by 3 = .208333...

5/24

5*1 / 8*3 = 5/24. Therefore, 5/8 divided by 3 is equal to 5/24. In math you can flip the second denominator and numerator to multiply instead of dividing.

7 0

4 years ago

Drag each tile to the correct box.

Paladinen [302]

Answer: group A: The organic drain cleaners claim to be more effective than the soap solution is reducing the development of clogs is false.

group B: The organic drain cleaners claim to

be more effective than the soap solution in reducing the development of clogs is true

group C: There is not enough information to invalidate the claim of the organic drain cleaner

Step-by-step explanation:

plato/edmentum

8 0

3 years ago

Read 2 more answers