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2 years ago

Abigail is 54. Inches tall which of the following is Abigail height

Mathematics

1 answer:

Tresset [83]2 years ago

3 0

Answer:

4.5 feet

Step-by-step explanation:

One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:

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A salesperson is paid an 8.25% commission on sales when the invoice is

son4ous [18]

Answer:

<em>The salesperson's commission for this month is $3,803</em>

Step-by-step explanation:

<u>Percentages</u>

Let's call x to the sales volume, not including commission.

The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x

We are given this total invoice, thus:

1.0825x = $49,900

Dividing by 1.0825:

x = $46,097

The salesperson's commission is

0.0825*$46,097=$3,803

The salesperson's commission for this month is $3,803

7 0

2 years ago

webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec

drek231 [11]

Answer:

The answer is $\frac{3}{10\pi } cm/min$

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

$A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}$

Differentiating wrt r we have:

$\frac{dA}{dD} =2\pi D$

We are told that $\frac{dA}{dt}= -6$ and we want to find $\frac{dD}{dt}$

By the chain rule we have:

$\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }$

∴ $2\pi D=-\frac{6}{\frac{dD}{dt} }$

∴ $\frac{dD}{dt}=-\frac{6}{2\pi D}$

When D=10 then

$\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }$

The sign (-) shows that the D is decreasing.

3 0

3 years ago

HELP ASAP FOR BRAINLIEST: The mean score for a standardized test is 1700 points. The results are normally distributed with a sta

WITCHER [35]

Answer:

Step-by-step explanation:

Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test reults

µ = mean score

σ = standard deviation

From the information given,

µ = 1700 points

σ = 75 points

We want to the probability that a student will score more than 1700 points. This is expressed as

P(x > 1700) = 1 - P(x ≤ 1700)

For x = 1700,

z = (1700 - 1700)/75 = 0/75 = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

P(x > 1700) = 1 - 0.5 = 0.5

8 0

3 years ago

40 is 20% if what number?

Mamont248 [21]

Answer:

200

Step-by-step explanation:

Use the ratio: 20/100 = 40/X

Simplify the ratio: 1/5 = 40/X

Cross Multiply: 1X = 200

Divide both sides by 1: 1X/1 = 200/1

Simplify: X = 200

6 0

3 years ago

In the diagram shown, chords AB and CD intersect at E. The measure of (AC) ̂ is 120°, the measure of (DB) ̂ is (2x)° and the mea

Mars2501 [29]

Answer:

The measure of angle < AED is $100\°$

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

$m$

substitute the values and solve for x

$4x=\frac{1}{2}(120\°+2x)$

$8x=(120\°+2x)$

$8x-2x=120\°$

$6x=120\°$

$x=20\°$

$m$

$m$ -----> by supplementary angles

substitute value

$80\°+m$

$m$

4 0

3 years ago