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3 years ago

Julie bikes 30 weekends each year.

1 answer:

5 0

Answer: 1080 km.
Explanation: Since she bikes 30 weekends per year, and for each of those 30 weekends she rides 9km, we can simply multiply 30*9 and find that she bikes 270km a year. However, the question asks how much she bikes in four years. To solve for this we can multiply our yearly distance by four, resulting in 1080 km.

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Hamburger heaven is having a lunch special where customers buy one 3/4 pounds cheese burger and get one free if they set aside 1

Yuri [45]

Answer:

Step-by-step explanation:

49 hamburguers (of 3/4 pound)

Step-by-step explanation:

3/4 pound is equal to 0.75 pound

37 1/3 pounds of meat is equal to

37 + 1/3 pound = 37.3333 pounds

To find how much hamburguers can be made, we need to divide

37.3333 pounds/ 0.75 pounds

37.3333 pounds/ 0.75 pounds = 49.777777

(We need to round to the lowest number)

This means that 49 hamburguers could be made

Plz mark brainliest

5 0

3 years ago

A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from

Len [333]

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet

According to trigonometry rule make 30 degree angle

$tan\left ( 30\ \right )^{o}=\frac{p}{b}$

$\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )$

$x\sqrt{3}=22$

than

$x=\frac{22}{\sqrt{3}}$

$=12feet$ $8 inch$ answer

3 0

4 years ago

Angle rqs and tqs are linear pair where angle rqs equal 2x+4 and angle tqs equal 6x+20 solve for x

Ulleksa [173]

The answer is x = -2 you move the all x to one side and all numbers to the other side. then divide to find x

8 0

4 years ago

[tex]cos {}^{4} α+sin {}^{4} α= \frac{1}{4} (3+cos4α)<br>Prove:<br>

asambeis [7]

Given:

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

To prove:

The given statement.

Proof:

We have,

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

$LHS=\cos^4 \alpha+\sin^4\alpha$

$LHS=(\cos^2 \alpha)^2+(\sin^2 \alpha)^2$

$LHS=(\cos^2 \alpha+\sin^2\alpha)^2-2\sin ^2\alpha\cos^2 \alpha$ $[\because a^2+b^2=(a+b)^2-2ab]$

$LHS=(1)^2-2(1-\cos^2 \alpha)\cos^2 \alpha$ $[\because \cos^2 \alpha+\sin^2\alpha=1]$

$LHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

Now,

$RHS=\dfrac{1}{4}(3+\cos 4 \alpha)$

$RHS=\dfrac{1}{4}[3+(2\cos^2 2\alpha-1)]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2\cos^2 2\alpha]$

$RHS=\dfrac{1}{4}[2+2(2\cos^2 \alpha-1)^2]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2(4\cos^4 \alpha-4\cos \alpha+1)]$ $[\because (a-b)^2=a^2-2ab+b^2]$

$RHS=\dfrac{1}{4}[2+8\cos^4 \alpha-8\cos \alpha+2]$

$RHS=\dfrac{1}{4}[4+8\cos^4 \alpha-8\cos \alpha]$

$RHS=1+2\cos^4 \alpha-2\cos \alpha$

$RHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

$LHS=RHS$

Hence proved.

8 0

3 years ago

-6+8x=-38<br> What is the answer and explain how you got it step by step

Anarel [89]

-6 +8x = -38
8x = -32
x = -4
I did this by first adding 6 to both sides to get 8x by itself. I then divided by 8 to get x by itself. I remembered to use the - - + rule (Two negatives make a positive, a positive and a negative make a negative). Hope this helps!

3 0

4 years ago

Read 2 more answers