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yuradex [85]
3 years ago
8

Prove that this question:.​

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

This follows directly from the double angle identity for cosine and the Pythagorean identity:

\cos2\theta=\cos^2\theta-\sin^2\theta=\begin{cases}2\cos^2\theta-1\\1-2\sin^2\theta\end{cases}

So we have

\dfrac{1-2\sin^2\theta}{2\cos^2\theta-1}=\dfrac{\cos2\theta}{\cos2\theta}=1

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Beth bought two pairs of earrings for $12.00 each. She also had to pay 6% sales tax. What was her total bill?
Darya [45]
I’m pretty sure it would be $12.72!
7 0
3 years ago
Read 2 more answers
Pls Help
vodomira [7]
First solve the triangle:
75° + 75° + x = 180°
150° + x = 180°
x = 180° - 150°
Therefore x = 30°
Then, use the geometrical property of vertically opposite angles.
Therefore. x° = 30°
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3 years ago
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Ralph Chase plans to sell a piece of property for $155000. He
Mrrafil [7]

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:

a + b = 155000    (1)

Also:

0.1a + 0.08b = 14100    (2)

From both equations:

a = 85000, b = 70000

Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%

Find out more on equation at: brainly.com/question/2972832

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7 0
2 years ago
A town planner is interested in getting some demographic data about the households in the city. The city has four wards with the
UkoKoshka [18]

Answer:

15

Step-by-step explanation:

Population size= 2107+903+1505+1499

                        = 6014

Calculating the sample of ward B by using the stratified random sampling formula:

Stratified Random Sample, np= ( Np / N ) * n

where

np= pth stratum  sample size

Np= pth stratum  population size

N = population  size

n = sample size

Stratified Sample (ward B) = 100 / 6014 * 903 = 15 !

4 0
3 years ago
What are the variables in the graph below?
bezimeni [28]
For the first one...
1,15
2,30
3,20
and for the second one is the same as the first one.
EXTRA CREDIT:
Week one increases by 15, week two increases by 15 but week three decreases by 15. The total miles ran would be 15 miles
15+15=30 30-15=15 miles
8 0
3 years ago
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