use exponents to write an equivalent expression for 2.9 x 2.9 x 2.9 x 2.9.

Answer: 3/4x

Step-by-step explanation:

y = mx + b

m = slope b = y - intercept

y= 3/4x -3

Answer:

I cant see the picture it blocked for some reason probally my pc.

Step-by-step explanation:

Answer:

7 in

Step-by-step explanation:

294:6=49

[tex]\sqrt{49}=7 in[/tex]

The length of each side of the cube is 7 inches.

The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.

Given that, the surface area of a cube is 294 square inches.

Now, 6a²=294

a²=294/6

a²=49

a=7 inches

Therefore, the length of each side of the cube is 7 inches.

Learn more about the surface area of a cube here:

brainly.com/question/23273671.

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Answer:

2600

Step-by-step explanation:

2314 ÷ 89% = 2600

2314 is 89% of 2600.

Answer:

Step-by-step explanation:

according to the question

SECOND QUESTION:

first find the measure of BE

according to the question

square both sides

substitute the values of BE and BC

simplify multiplication:

simplify redical:

Answer:

-4.5 is less than 3

-12/5 is less than 2

-3, -1.5, -1, 0, 2, 2.75, 5, 5.2

-3/2 = -1.5

11/4 = 2.75

Answer:

multiply both numbers and if im correct it should be 124ft sorry if im wrong

Answer:

b

Step-by-step explanation:

Answer:

For train A, the distance traveled as a function of time in hours is written as:

y = 68*x

For train B, we know that it's equation passes through the points (0, 0) and (1, 64)

Remember that:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then the slope for the equation of train B is:

a = (64 - 0)/(1 - 0) = 64

Then equation of train B is something like:

y = 64*x + b

Now, we know that it passes through the point (0, 0), this means that when x = 0, we also have y = 0, then if we replace these two values in the equation we get:

0 = 64*0 + b

0 = 0 +b

then b = 0

This means that the equation for train B is:

y = 64*x

Where again, y is the distance in miles and x is the time in hours.

If we look at both equations, we can see that train A has a larger slope, which means that for each unit of time, train A travels a larger distance, then we can conclude that train A is faster than train B.

Answer: width = 1.1 meters

Step-by-step explanation:

The length of Rectangle garage =6.6m

Width = 6 times shorter than length

Therefore width = 6.6/ 6

= 1.1 m

Answer:

1.1

Step-by-step explanation:

Answer:

40 inches

Step-by-step explanation:

16 * (30/12) = 40

Answer:

PQ = 40

Step-by-step explanation:

First, set up a proportion:

[tex]\frac{12}{16} =\frac{30}{x}[/tex]

Then, cross-multiply and solve:

[tex]12x = 16(30)[/tex]

[tex]12x = 480\\\\\frac{480}{12x} \\\\PQ = 40[/tex]

Hope this helped!

Answer:

ok sure

Step-by-step explanation:

Answer:

your answer will be option C

Step-by-step explanation:

hope it helps

have a great day

Answer:

17

Step-by-step explanation:

Answer:

-6665

Step-by-step explanation:

The given GP is :

1, -6, 36, ...

Number of terms = 6

The sum of n terms of a GP is given by :

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Here,

a = 1, n = 6, r = 36/-6 = -6

So,

[tex]S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665[/tex]

So, the sum of th GP is -6665.

Answer:

c = 75

Step-by-step explanation:

Add 6 to both sides: 2/5c = 30

Divide both sides by 2/5 (or multiply by reciprocal of 5/2): c = 150/2

c = 75

Answer:

x = 4

The diagonals are both 4

Step-by-step explanation:

The fact that the two sides have no letter in common indicates that they are opposite each other or a diagonal. In this case the length is a diagonal. Diagonals in a rectangle are equal.

4x - 12 = x                      Add 12 to both sides

4x - 12 + 12 = x + 12      Subtract x from each side

4x - x = 12

3x = 12                           Divide by 3

3x/3 = 12/3

x = 4

One of the diagonals = 4 because it is x.

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

tan(x)/sec(x) = sin(x)

Hint: | Eliminate the denominator on the left hand side.

Multiply both sides by sec(x):

tan(x) = ^?sec(x) sin(x)

Hint: | Express both sides in terms of sine and cosine.

Write secant as 1/cosine and tangent as sine/cosine:

sin(x)/cos(x) = ^?1/cos(x) sin(x)

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

Discount of Original Price = Discounted Price

20% of $30 =  $24

30% of $24 = 16.8

40% of $35 = $21

Explanation:

0.2 x 30 = 6

30 - 6 = 24

0.3 x 24 = 7.2

24 - 7.2 = 16.8

0.4 x 35 = 14

35 - 14 = 21

Answer:

Option A) it has square roots of 2 is the answer

Answer:

48 in

Step-by-step explanation:

If the area is 144 that means each side of the square is 12 in. 12x4=48

Answer:

Interior angle

176 degrees

Exterior

4 degrees

Step-by-step explanation:

Exterior angle

For any polygon, the measure of the total exterior angle is 360

To get the individual exterior angle, we divide the total by n, which is the number of sides, 90 in this case

We have this as;

360/90 = 4

Interior

To get the measure of each interior angle, we use the formula below;

[(n-2)180]/n

n in this case is 90

So we have

[(90-2)180]/90

= (88 * 180)/90

= 2 * 88 = 176

Answer:

1890

Step-by-step explanation:

Answer:

I believe your answer is 1512

Step-by-step explanation:

4.2 x 2 = 8.4 this is the area, each inch is equal to 15 feet, there are 180 inches in 15 feet. so 8.4 x 180 = 1512.

Answer:

16

Step-by-step explanation:

the situation is addition the answer is 16 i think

Answer:

Step-by-step explanation:

As it is said that they spent more than $15 then its inequality is

m > 15

Answer:

[tex]5\sqrt{3}[/tex] or 8.66

Step-by-step explanation:

use tan:

tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 60 = [tex]\frac{x}{5}[/tex]

tan of 60 is 1.73

⇒ 1.732 = [tex]\frac{x}{5}[/tex]

multiply 5 on both sides

⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5

⇒ 8.66

Answer:

[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]

Step-by-step explanation:

Remember the 3 main trigonometric ratios:

We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.

[tex]tan \theta= \frac {opposite}{adjacent}[/tex]

[tex]tan60=\frac {x}{5}[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.

[tex]5(tan60)=\frac {x}{5} *5[/tex]

[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]

If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.

[tex]8.66 \approx x[/tex]

x is about 8.66 or 5√3, which is choice D.

Answer:

x = 2.5

y = 5

Step-by-step explanation:

2x + 3y = 20

2x + y = 10 then y = 10 - 2x

substitute for y:

2x + 3(10 - 2x) = 20

2x + 30 - 6x = 20

reduce:

-4x = -10

divide both sides by -4:

x = 2.5

y = 10 - 2(2.5) = 5

check:

2(2.5) + 3(5) = 20

20 = 20

and

2(2.5) + 5 = 10

10 = 10