One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.

Answer:

294

Step-by-step explanation:

Surface area is the total area of the bases

The cube shown has a side length of 7

Cubes have 6 bases, each being a square, and the area of a square can be calculated by squaring the side length.

7^2 = 49

So the area of 1 base is 49

If we want to find the area of all the bases we multiply the area of 1 base by 6 ( because there are 6 bases )

42 * 6 = 294

The area of all of the bases is 294 so the surface area is 294

Answer:

Therefore, the price increased by 20%

Step-by-step explanation:

Initial price = 1.25

Final price = 1.50

so price increased = 1.50 - 1.25

= 0.25

so,

price increased% = (0.25/1.25) × 100%

= 0.2 × 100%

= 20%

Answer:

60

Step-by-step explanation:

Is means equals and of means multiply

21 = 35% * n

21 = .35*n

Divide each side by .35

21/.35 = .35n/.35

60 = n

Answer:

60

Step-by-step explanation:

35% of 60 is 21 its that simple

Answer:

$500

Step-by-step explanation:

Answer:$500

Step-by-step explanation:

To calculate the weekly wage, take the hourly rate and multiply it by the number of hours worked. For this question it would be:

$12.50 x 40

=$500

That is your weekly wage

Hope this helped! <3

Answer:

2l+2w

2 (11) +2 (10)

22+20

42

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

(g•h)(x) = 2(x²+4)

(g•h)(3)=2(3²+4)

=2(9+4)

=2(13)

=26

Answer:

Since this function is definable for all real values of x,

Domain(f(x)) = R = (-∞,∞)

Step-by-step explanation:

Now,

Let 4x-8=y

4x = y+8

x = (y+8)/4

Since x is definable for all real values of y,

Range(f(x)) = R = (-∞,∞)

Answer:

5.3

Step-by-step explanation:

a^2+6^2=8^2.

a^2=64-36. a=2*sqrt(7)=5.3

Answer:

Pentagon = 72°

Octagon = 45°

Step-by-step explanation:

To solve for the measure of one exterior angle in a regular pentagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 5-2/5)

180 - (180 x 3/5)

180 - (540/5)

180 - 108

Exterior angle = 72°

To solve for the measure of one exterior angle in a regular octagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 8-2/8)

180 - (180 x 6/8)

180 - (1080/8)

180 - 135

Exterior angle = 45°

Answer:

66 degrees

Step-by-step explanation:

The value of an external angle is the sum of the other two angles of the triangle of which that external triangle is sharing with.

This means that angle 4, or 123 is equal to angle 1 plus angle 3, which is 57 degrees.

We have this equation:

[tex]x+57=123[/tex], where x is the value of angle 1.

Subtracting 57 from both sides, we have

[tex]x = 66[/tex]

Answer:

The common difference of the sequence 5,8,11,14 is 3.

Answer:

the answer is 3

Step-by-step explanation:

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.

Answer:

Step-by-step explanation:

r = d/2

r = 2.4 m/2 = 1.2

h = 1.8

pi = 3.14

Volume = pi * r^2 * h

Volume = 3.14 * 1.2^2 * 1.8

Volume = 8.139

Volume = 8 to the nearest m^3

Answer: 28

Step-by-step explanation:

The pattern is multiply the right and bottom, add the left

For example, 9*8+7=79

So, 24*3+x=100

72+x=100

x=28

Answer:

(1) question no.1

x<=8

(2) question no.2

5<x<7

Answer:

1. 8≥g

2. A-5≥7

Step-by-step explanation:

Answer:

how much protein did he take per day tho?

Answer:

Yes

Step-by-step explanation:

First, we know that 40 minutes = 8 gallons filled up. We have another equation, v=2.5t, that includes time and volume. If we can make the first equation in terms of time, we can figure out the relative speeds of water entering/exiting the bathtub.

To make 40 minutes = 8 gallons in terms of t, or minutes, we can divide both sides by 8 to get

5 minutes = 1 gallon

5t = v

Therefore, for water entering the tub, we get

5t = v, and for water draining out, we get

2.5t = v

As the time is always positive, the water entering the tub (5t) will always be greater than the water exiting the tub. Therefore, as more water goes in than out, the tub will gradually increase in water level and will eventually overflow

Answer:

1/2

Step-by-step explanation:

pick a point on the graph where it hits the x and y line. Go up one unit and two units to the right. you hit another "point". you need to remember the formula rise over run (RISE/RUN). you rose 1 unit and ran 2 units. hence, the answer is 1/2

what is 5cd when c = 3 and d = 4

put the value c=3 and d=4 then,

5cd= 5 × 3 × 4

= 60

thus , 60 is the required answer..........

Answer:

[tex]here \: 5cd \\ c = 3 \\ d = 4 \\ then \: 5 \times 3 \times 4 = 5 \times 12 = 60 \\ thank \: you[/tex]

it is 3.75 lbs my shlime                                                                                                            

Answer:

the answer is 3.75 pounds

it says one pound is 16 ounces

so divide the ounces with pound

60/16

then we get 3.75 pounds

Answer:

B

Step-by-step explanation:

the decay will cause loss so it's the function B

Answer:

B

Step-by-step explanation:

trust

Answer:

I cannot read it

Step-by-step explanation:

Step-by-step explanation:

the answer should be the first option bcos

when we use the table of values

let's just assume the values of x to be 0,1,2and3

so when x= 0

using the given formula y=2x-3

we get

y= 2(0)-3

=0-3

= -3

so we have x=0,y=-3

we do the same for the rest of the values

y=2(1)-3=2-3 =-1

y=2(2)-3=4-3= 1

and on the gragh this gives a straight line

where the values of y are -3,-1,1

and x are 0,1,2

Answer:

Hamid initially invested $1,125.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After 10 years, Hamid's account earned $900 in interest.

This means that [tex]t = 10, E = 900[/tex]

Interest rate of 0.08:

This means that [tex]I = 0.08[/tex]

How much did Hamid initially invest?

We have to find P. So

[tex]E = P*I*t[/tex]

[tex]900 = P*0.08*10[/tex]

[tex]P = \frac{900}{0.8}[/tex]

[tex]P = 1125[/tex]

Hamid initially invested $1,125.

55

you know you can just use a calculator or a search engine for that, right?

Answer:

i got 69 it should be right

Step-by-step explanation:

In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.

Slope-intercept formula:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]

Point (0,0):

This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:

[tex]y = mx[/tex]

Slope:

When we have two points, the slope is given by the change in y divided by the change in x.

In this question, the two points are (0,0) and (-8,8).

Change in x: -8 - 0 = -8

Change in y: 8 - 0 = 8

Slope:

[tex]m = \frac{-8}{8} = -1[/tex]

Thus, the equation of the line, in slope-intercept formula, is:

[tex]y = -x[/tex]

For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520

The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].

According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:

1) Determine the Slope of the line by the Slope Equation for Secant Lines.

2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.

3) Write the resulting Equation of the Line.

Step 1:

The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:

[tex]m = \frac{8-0}{-8-0}[/tex]

[tex]m = -1[/tex]

Step 2:

The equation of the line is Slope-Intercept Form is now represented:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - Intercept.

If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:

[tex]0 = -1\cdot (0) + b[/tex]

[tex]b = 0[/tex]

Step 3:

And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].

Related question: https://brainly.com/question/18894159

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 1, - 5 ) → A' (- 1, 5 )

B (2, - 3 ) → B' (2, 3 )

C (3, - 5 ) → C' (3, 5 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (- 1, 5 ) → A'' (1, 5 )

B' (2, 3 ) → B'' (- 2, 3 )

C' (3, 5 ) → C'' ( - 3, 5 )

When two line segments intersects, a set of vertically opposite angles are formed. So that by comparison of angles formed in the attachment, a set of vertically opposite angles formed are: >AOC and >BOD; then >AOD and >BOC.

A pair of vertically opposite angles are formed when two lines meet at a point. And the pair of vertically opposite angles formed are said to have equal size.

From the given question, line segment AB intersecting CD at point O would produce a set of vertically opposite angles. So that each pair has equal size.

From the attached diagram, it can be observed that;

m>AOC = m>BOC = m>AOD = m>BOD = [tex]90^{o}[/tex]

But;

m>AOC ≅ m>BOD = [tex]90^{o}[/tex] (vertically opposite angle property)

also,

m>AOD ≅ m>BOC = [tex]90^{o}[/tex] (vertically opposite angle property)

Therefore it can be verified that each pair of vertically opposite angles are equal.

NB: The required diagram to the question is herewith attached to this question for more clarifications and reference.

For more information, visit: https://brainly.com/question/68367

Answer: 360 - 44 - 80 = 236

236 ÷ 2 = 118

both angle equal to 118

Step-by-step explanation:

The measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We know that kite is quadrilateral, having :

It has one pair of opposite congruent angles.

One diagonal is bisected.

The top and bottom angles are bisected but

As we know from the kite properties it has one pair of opposite congruent angles

From the properties of the quadrilateral the sum of the interior angles is 360 degrees

44 + angle 1 + angle 2 + 80 = 360

Angle 1 = angle 2 = x(say)

44 + x + x + 80 = 360

2x + 124 = 360

2x = 236

x = 118 degrees

Angle 1 = angle 2 = 118 degrees

Thus, the measure of angle 1 is 118 degrees and the measure of angle 2 is 118 degrees or m∠1 = 118° and m∠2 = 118°.

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ5

Answer:

Step-by-step explanation:

Let the number is in the form of aabb.

We can put it as:

The number is a perfect square so it must be divisible by 11.

It is divisible by 11 if (a + b) is divisible by 11..

On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.

Also, both a and b must be within (0,9) interval.

Considering the above conditions we have options:

The numbers are:

By testing we confirm only one of them is a perfect square:

Answer:

could you explain your question better please

Step-by-step explanation:

ᵉᵃˢʸ ᵖᵉᵃˢʸ

2x²+2x+x+1

2x²+3x+1