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Eddi Din [679]
4 years ago
14

A pie chart shows the relative market share of cola products. The "slice" for Pepsi-Cola has a central angle of 90 degrees. What

is its market share?
Mathematics
1 answer:
Andrej [43]4 years ago
5 0
My answer to the problem is as follows:

Since there is 360 degrees in a circle so the fraction that Pepsi represents is
90/360

Therefore, the market share would be 90/360 or 1/4 or 0.25.

I hope my answer has come to your help. God bless and have a nice day ahead!
You might be interested in
Jordan wrote the following description: Three fewer than one fourth of x is 12. Write an
muminat

Answer:

x/4 - 3 = 12

Step-by-step explanation:

"one fourth of x" is x/4.

Then "three fewer than one fourth of x is 12" becomes, symbolically,

x/4 - 3 = 12

3 0
3 years ago
Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
katrin2010 [14]

Answer:

\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \triangle ACD and the hypotenuse of \triangle ADB.

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \angle CAD. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}

Now use this value in the Law of Sines to find AD:

\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}

Recall that \sin 45^{\circ}=\frac{\sqrt{2}}{2} and \sin 60^{\circ}=\frac{\sqrt{3}}{2}:

AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}

Now that we have the length of AD, we can find the length of AB. The right triangle \triangle ADB is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent 2x in this ratio and since AB is the side opposite to the 30 degree angle, it must represent x in this ratio (Derive from basic trig for a right triangle and \sin 30^{\circ}=\frac{1}{2}).

Therefore, AB must be exactly half of AD:

AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24

3 0
3 years ago
Read 2 more answers
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%. Quintina’s gross pay per m
Tju [1.3M]

Answer:

ok good  Step 1

Write your problem.

537.95 x 9.5% = ?

Step 2

Convert the % to a decimal:

9.5% to 0.095

Step 3

Rewrite the problem with decimal replacing the percentage.

Now the problem looks like this:

537.95 x 0.095 = 51.11

This problem gives the amount of the tax.

Step 4

Add the original price with the tax amount:

537.95 + 51.11 = $589.06 (total cost)

Step-by-step explanation:

4 0
3 years ago
You put $5000 in an account. The account earns $2250 simple interest in 10 years. What is the annual interest rate?
galina1969 [7]
The rate is 5% a year 
6 0
3 years ago
SHOW UR WORK!!! WILL GIVE BRAINLEST
Rufina [12.5K]
I don’t know sorry I can’t help at least you found one
6 0
3 years ago
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