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lisabon 2012 [21]

3 years ago

15

Susan has 3 pairs of shorts, 5 shirts, and 2 pairs of shoes to take to camp. If she wears a pair of shorts, a shirt and pair of

shoes each day, how many different outfit combinations does Susan have to choose from?

1 answer:

hjlf3 years ago

3 0

Answer:

30

Step-by-step explanation:

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At a graduation dinner, an equal number of guests were seated at each of 12 large tables, and 8

miskamm [114]

Answer::: A. 12n -8 =128

8 0

3 years ago

Verify the identity (tan x + 1)^2 + (tan x-1)^2= 2 sec^2 x

Elina [12.6K]

$(\tan x+1)^2+(\tan x-1)^2=2\sec^2x\\\\\text{use}\ \tan x=\dfrac{\sin x}{\cos x}\\\\L_s=\left(\dfrac{\sin x}{\cos x}+\dfrac{\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x}{\cos x}-\dfrac{\cos x}{\cos x}\right)^2\\\\=\left(\dfrac{\sin x+\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x-\cos x}{\cos x}\right)^2\\\\=\dfrac{(\sin x+\cos x)^2}{\cos^2x}+\dfrac{(\sin x-\cos x)^2}{\cos^2x}\\\\\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2$

$=\dfrac{\sin^2x+2\sin x\cos x+\cos^2}{\cos^2x}+\dfrac{\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{\sin^2x+2\sin x\cos x+\cos^2+\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{2\sin^2x+2\cos^2x}{\cos^2x}=\dfrac{2(\sin^2x+\cos^2x)}{\cos^2x}\\\\\text{use}\ \sin^2x+\cos^2x=1\\\\=\dfrac{2(1)}{\cos^2x}=2\cdot\dfrac{1}{\cos^2x}=2\left(\dfrac{1}{\cos x}\right)^2\\\\\text{use}\ \sec x=\dfrac{1}{\cos x}\\\\=2(\sec^2x)=2\sec^2x=R_s\\\\L_s=R_s\Rightarrow The\ identity$

4 0

3 years ago

Solve to find the values of a and b.<br>4a + 7b = 38<br>9a + 7b = 68

Nataliya [291]

4a + 7b = 38 -> (1)
9a + 7b = 68 -> (2)

Subtract (1) from (2),
9a - 4a + 7b - 7b = 68 - 38
5a = 30
a = 6

5 0

3 years ago

Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. Wh

Blababa [14]

Answer:

i dont know

Step-by-step explanation:

i dont know

4 0

3 years ago

You have a pet hamster and a pet mouse. The hamster weighs 416 of a pound. The mouse weighs 116 of a pound. How much more does t

Harrizon [31]

How much more does the hamster weighs than the mouse is 300 pounds.

Since we have a pet hamster and a pet mouse. We know that the hamster weighs 416 of a pound and the mouse weighs 116 of a pound.

To know how much more the hamster weighs more than the mouse, we take the difference between the weight of the hamster and the weight of the mouse.

Since the weight of the hamster = 416 pounds and the weight of the mouse equals 116 pounds.

<h3>The difference in weight</h3>

The difference in the weight d = weight of hamster - weight of mouse

= 416 pounds - 116 pounds

= 300 pounds.

So, how much more does the hamster weighs than the mouse is 300 pounds.

Learn more about difference here:

brainly.com/question/751620

4 0

2 years ago