Joseph is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Joseph have to choose from?

Answer:

x = y = 15[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 30[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 15[tex]\sqrt{2}[/tex]

The triangle is isosceles (45- 45- 90) , then 2 legs are congruent, so

y = x = 15[tex]\sqrt{2}[/tex]

Answer:

a. 4×9=36

glad to help!!

Step-by-step explanation:

Answer:

Point A reflected = 7, -8

Point B reflected = 2, -3

Step-by-step explanation:

Answer:

it should be 42 hope it helps

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Let the number be x.

Now,

2x + 8 = 60

2x = 60 - 8

x = [tex]\dfrac{52}{2}[/tex]

x = 26

Hence, the number is 26.

Answer:

13,188

Step-by-step explanation:

14 × 942

That will give you 13,188

Answer:

a) 33289

b) £131.88

Step-by-step explanation:

→ To find the meter reading add the July reading to the units used

32347 + 942 = 33289

→ Multiply the unit price by the units used

0.14 × 942 = 131.88

Answer:

i think the answer might be D but im not sure

Answer:

12 square feet

Step-by-step explanation:

To find the area of a triangle you have to multiply the base and height and divide it by two

6 * 4 = 24

24 / 2 = 12

Answer:

12sq.ft

Step-by-step explanation:

Area of∆=1/2x base x height

=1/2 x4 x6

=1/2 x 24

=12

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Answer:

c

Step-by-step explanation:

Answer:

C. 4x+1

Step-by-step explanation:

Answer: 10in^2 or this

Step-by-step explanation: Hope this help :D

Answer:

29

Step-by-step explanation:

2x2=4

5x5=25

25+4=29

Sorry if this didn't help ;(

Answer:

189.05 ft^3

Step-by-step explanation:

I think this is the right answer but I'm not 100% sure.

So first, you need to find the area of the rectangular prism. 5*5=25, and there are 5 of these rectangles (4 sides and the bottom), so the total is 125 ft^3. I don't think you would include the area of the top, as the top is not flat, and has a pyramid on it.

To find the area of the pyramid, there is a somewhat complicated and long equation that I can't write here, but you can look up the formula for the area of a square pyramid.

The area of the pyramid is around 64.05 ft^3. 125+64.05=189.0500 rounded to the nearest hundredth is 189.05 ft^3.

Answer:

A triangle without any congruent sides or angles is called a scalene triangle. When two triangles are congruent it means that they have the same size and shape.

Step-by-step explanation:

A triangle having no side congruent is called​ is called Scalene triangle.

We have a triangle having no side congruent.

We have to identify the name of this triangle.

A triangle is a plane figure with three straight sides and three angles.

According to question, we have -

A triangle with no side congruent. If all the three sides of a triangle are of same length then it is called congruent triangle. It is also called Equilateral triangle. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle.

Hence, a triangle having no side congruent is called​ is called Scalene triangle.

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Answer:

It means you multiply the number by that variable.

Step-by-step explanation:

This is used to shorten the equation with a variable.  For example, 2c means 2 times c.  6y means 6 times y.  

Answer:

297

Step-by-step explanation:

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

Answer:

a)9

Step-by-step explanation:

i dont know what b is sorry

Answer: (a) = The gcf of 63 and 36 is 9. (b) = 9 x (7 - 4)

Step-by-step explanation:

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

Answer:

30/7 x 1/3 = 1 3/7 cm^3

Step-by-step explanation:

Rewrite the expression 1/x^2/3 in the form x^nRewrite the expression 1/x^2/3 in the form x^n

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression  [tex]\dfrac{1}{x^{\frac23}}[/tex] can be written in the form of xⁿ using the exponential property 1/x=x⁻¹. Therefore, the expression can be rewritten as,

[tex]\dfrac{1}{x^{\frac23}}\\\\= x^{-\frac23}[/tex]

= x⁻⁰°⁶⁶

Hence, the given expression can be written in the form of xⁿ as x⁻⁰°⁶⁶.

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Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

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Answer:

Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

Answer:

1/3

Step-by-step explanation:

3x3= 9

Make 3/9 a fraction and simplify it and it would give you 1/3

Answer:

Let's analyze the example first:

We have:

3, 4, 6      target 42    answer: (3 + 4)*6

If we solve the equation, we get:

(3 + 4)*6 = 7*6 = 42

So, we need to reorder the first 3 numbers in an expression, such that the solution of the expression is the target number.

a) 2, 5, 6     Target 40

We know that 5*8 = 40

and that 2 + 6 = 8

Then the answer is:

(2 + 6)*5

b) 3, 4, 6  target 12

Here we know that 4*3 = 12

and 6 - 3 = 3

Then the answer is:

(6 - 3)*4

c) 4, 6, 10   target 1.

We know that the quotient of two equal numbers is 1.

And 4 + 6 = 10

Then the answer here is:

(4 + 6)/10

d) 3, 5, 6 target 21

We know that 3*5 = 15

And 15 + 6 = 21

Then the answer here is:

3*5 + 6

e) 2, 7, 10  target 6.

Here is a harder one.

We know that 2*3 = 6

And that 10 - 7 = 3

Then the answer ere is:

2*(10 - 7)

f) 3, 6, 15   target  3

Here we can use:

(15 - 6) = 9

And 9/3 = 3

Then the answer is:

(15 - 6)/3

Answer:

in pairs

Step-by-step explanation:

i just took the quiz

Answer:

he will owe $1,047 in total and $97.37 in interest