3 divided by the square root of 2

Answer:

1. 2

2.3[tex]\sqrt{5}[/tex]

3.8[tex]\sqrt{6}[/tex]

4.2.5[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Remember that [tex]\frac{\sqrt{a}}{\sqrt{b}}[/tex]=[tex]\sqrt{\frac{a}{b} }[/tex], and [tex]\frac{a}{\sqrt{b}}[/tex]=[tex]\frac{a}{\sqrt{b}}[/tex]*[tex]\frac{\sqrt{b}}{\sqrt{b}}[/tex]=[tex]\frac{a\sqrt{b}}{b}[/tex]

1. [tex]\frac{\sqrt{48}}{\sqrt{12} }[/tex]= [tex]\sqrt{\frac{48}{12} }[/tex]=[tex]\sqrt{4}[/tex]=2

2. [tex]\frac{15}{\sqrt{5} }[/tex]=[tex]\frac{15}{\sqrt{5} }[/tex]*[tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]=[tex]\frac{15\sqrt{5} }{5}}[/tex]=3[tex]\sqrt{5}[/tex]

3. [tex]\frac{48}{\sqrt{6}}[/tex]= [tex]\frac{48}{\sqrt{6}}[/tex]* [tex]\frac{\sqrt{6}}{\sqrt{6}}[/tex]= [tex]\frac{48\sqrt{6}}{6}[/tex]=8[tex]\sqrt{6}[/tex]

4. [tex]\frac{25}{\sqrt{10}}[/tex]=[tex]\frac{25}{\sqrt{10}}[/tex]*[tex]\frac{\sqrt{10}}{\sqrt{10}}[/tex]=[tex]\frac{25\sqrt{10}}{10}[/tex]=2.5[tex]\sqrt{10}[/tex]

Answer:

X = 119, Y = 61, Z = 119

Step-by-step explanation:

These are supplementary angles and equal 180.

180 - 61 = 119

Opposite angles are congruent

The monthly rent during the 8th year of living in the apartment will be $2160.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You rent an apartment that costs $800 per month during the first year, but the rent is set to go up by $170 per year.

Then the monthly rent during the 8th year of living in the apartment will be

Let y be the monthly rent and x be the number of years.

Then we have

y = 170x + 800

The rent after 8 years, then the rent will be

y = 170 × 8 + 800

y = 1360 + 800

y = $ 2160

Thus. the monthly rent during the 8th year of living in the apartment will be $ 2160.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer

(2w+2) (w+8)< 100

Step-by-step explanation:

Answer:

7x² - 26x + 9

Step-by-step explanation:

(g(x)²) = (3x - 2) (3x - 2)

(g(x)²) = 9x² - 6x - 6x + 4

(g(x)²) = 9x² - 12x + 4

(9x² - 12x + 4) - (2x² + 14x - 5) = 7x² - 26x + 9

Answer:

the length=2.3m and breath=90cm find the perimeter and area of rectangle

Step-by-step explanation:

Answer:

.23, 34%, 18/25

Step-by-step explanation:

34% = 0.34 (2)

.23 = 0.23 (1)

18/25 = 0.72 (3)

Explanation:

Think of 6 + y - 3 as 6 + 1y - 3

y and 1y are the same thing because 1 times any number is that same number.

The coefficient is the number to the left of the variable, so the coefficient is 1.

Answer:

6 race cars

Step-by-step explanation:

In this scenario, there would be a total of 6 race cars on the scale. Since each racecar weighs 1/4 pound then 4 racecars would equal 1. This leaves us with 1/2 or 0.5 pounds left. This would be 2 race cars since 2/4 is equal to 0.5 pounds. Therefore, if we add these two amounts up it would be a total of 6 racecars (4+2) which would total 1 1/2 pounds.

Answer:

a. m<DAB = 36°

b. m<B = 54°

c. m<C = 74°

Step-by-step explanation:

a. m<DAB = m<CAB + m<CAD

m<DAB = 20° + 16° (substitution)

m<DAB = 36°

b. m<B = 180° - (90° + m<DAB)

m<B = 180° - (90° + 36°) (substitution)

m<B = 54°

c. m<C = 180° - (90° + m<CAD)

m<C = 180° - (90° + 16°) (substitution)

m<C = 74°

Answer:

[tex]A=(x^2+16+8x)\ \text{inches}^2[/tex]

Step-by-step explanation:

Given that,

The side length of a square, l = (x+4) inches

We need to find an expression to represent the area of the square.

The area of a square is given by :

[tex]A=\text{side}^2[/tex]

So,

[tex]A=(x+4)^2\\\\A=(x^2+16+8x)\ \text{inches}^2[/tex]

So, the area of the square is [tex](x^2+16+8x)\ \text{inches}^2[/tex].

Answer:

C, [tex]y=-8[/tex]

Step-by-step explanation:

[tex]y=-8[/tex], is a horizontal line, which makes it vertical to the y-axis

25% off $45 is $33.75

Answer:

Option 2

Step-by-step explanation:

Answer:

Graph 2

Step-by-step explanation:

exponential growth means that the line is increasing

9514 1404 393

Answer:

  x

Step-by-step explanation:

There is already an expression given for x, so that is the easiest variable to substitute for.

Substituting for x using the second equation, you have ...

  -3(-2y+14) +y = -14

  6y -42 +y = -14

  7y = 28

  y = 4

  x = -2(4) +14 = 6

The solution is (x, y) = (6, 4).

_____

Substitution for x is the easiest.

__

The first equation could be rearranged to give an expression for y:

  y = 3x -14

Then that can be used to substitute for y in the second equation. My lazy brain judges that to be more work.

Answer:

well basically no so i say no

Step-by-step explanation:

you can but you wouldn't get a answer because you would only get the same answer so..

Answer:

When we try to divide by zero, things stop making sense

Step-by-step explanation:

Answer:

well we don't don't know...because x is unknown

Answer:

There no problem but 5<=x in equation form

Step-by-step explanation:

That way because x can either be five or higher

Answer:

I'm super bad at math sowy!!!

Step-by-step explanation:

\(T T)/

Answer:

DF ≅ AC

Step-by-step explanation:

To prove that the triangles are congruent by AAS, we need a side from each triangle to be congruent to the other, correspondingly. So, if AC ≅ DF, we could prove the triangle's congruency by AAS. In the answer choices, the only answer that works is DF ≅ AC.

Answer:

4 cups

Step-by-step explanation:

2 divided by 1/2 is 4 so there are 4 half cups of sugar.

Since the sugar is multiplied by 4 you have to multiply the flour by 4.

1*4=4

Answer:

Step-by-step explanation:

Round the ratio 4:8

to 5 then divide (/), =51

Answer:

length: 38 feet

width: 10 feet

area: 380 ft²

Step-by-step explanation:

The scale between the drawing and the actual studio is 2 in : 5 ft. If we divide both sides by 2, we find that the scale is 1 in : 2.5 feet.

For the first number, 15.2 inches, if we multiply it by 2.5 and change the label to "feet", we can find the real length.

15.2 * 2.5 = 38.

The length is 38 feet.

For the width, do the same thing.

4 * 2.5 = 10

The width is 10 feet.

Area is length times width. So if we plug in the numbers we just found:

38 * 10 = 380.

The area is 380 ft²

Answer:

true

Step-by-step explanation:

the triangle is on top of the rectangle

Answer:

ture because it has one of each

Step-by-step explanation:

so like that

Answer:

154

Step-by-step explanation:

The expression is  [tex]f(x)=4x^2-7x+7[/tex] and we know that  [tex]f(x)=f(7)[/tex]. Therefore, you will have to substitute x with 7.

Calculations:

[tex]f(x)=4x^2-7x+7[/tex]

[tex]f(7)=4(7)^2-7(7)+7[/tex]

[tex]4(49)-49+7= 154[/tex]

Answer:

I think that you need to plug 7 in to the x's

Step-by-step explanation:

Yes it looks very weird, but if you don't think that is right, Use the 7 for the F's.

One of them should come out right. :3

Answer:

so would it be 3x 3 times pepepeppopo checkk

Answer:

8 batches

Step-by-step explanation:

A recipe for cookies calls for 2/3 of a cup of sugar. Elena used 5 1/3 cups of sugar to make multiple batches of cookies. How many batches did she make?

From the above question, 1 recipe = 1 batch of cookies

Hence:

2/3 cup of sugar = 1 batch of cookies

5 1/3 cups of sugar = x batches of cookies

Cross Multiply

2/3 cup × x batches = 5 1/3 cup × 1 batch

x batches = 5 1/3 cup × 1 batch/2/3 cup

x batches = 16/3 ÷ 2/3

x batches = 16/3 × 3/2

= 8 batches

Therefore she made 8 batches