Use the distance formula to find the distance, to the nearest tenth, from S(5, −4) to W(−3, 7).

Answer:

The side length of each square is 2.12 units.

The length ad width of the rectangle are 2.12 and 4.24 units

Step-by-step explanation:

Let the width of the rectangle is x,

So, the length of the rectangle is 2x.

Area of the rectangle = 9 sq. units

[tex]9 = 2x \times x[/tex] [as area = length x width]

[tex]\Rightarrow 9 = 2x^2[/tex]

[tex]\Rightarrow x^2 = \frac{9}{2}=4.5[/tex]

[tex]\Rightarrow x = 1.5\sqrt{2}=2.12[/tex] units

So, width of the rectangle, x= 2.12 units and

the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.

After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.

The area of the rectangle = 9/2=4.5 square units.

Let a be the length of the sides of the square, so

Area [tex]= a^2[/tex]

[tex]\Rightarrow a^2=4.5[/tex]

[tex]\Rightarrow[/tex] [tex]a = 1.5\sqrt{2}=2.121[/tex]

Hence, the side length of each square = 2.12 units.

Answer:

6, 7

Step-by-step explanation:

Answer:

B. It has infinite solutions.

I believe so

Answer: X=7

Step-by-step explanation: X+17=24 subtract 17 from both sides and you would get X=7

Answer:

Step-by-step explanation:

1) h(t) = 5t + 10

2) plugging in t as 12 to our function, h(12) = 5 * 12 + 10 = 70

3) h(5) = 35 is the function representing the height, 35 feet, travelled in a period of time, 5 seconds.  

Answer: The slope is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].

2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].

3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].

4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].

whats the question you only stated the problem

Answer:Not exactly sure what the question is but...

Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.

Hope this helps

Answer: 6$

Step-by-step explanation:

Answer:

25 dollars

Step-by-step explanation:

If 20 percent of the initial price was 5, you can create the equation:

0.2x=5, with x being the regular price.

Multiply both sides by 5:

x=25

Answer:

25$

Step-by-step explanation:

20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5

5 times 5 is 25

25$ was the original price

Answer:

=5x

Step-by-step explanation:

your question might have a different variable witch is the letter at the end

Answer:

132 tiles

Step-by-step explanation:

Each tile cost $4

The adhesive/grouting material costs $17.82.

If the contractor pays a total of $545.82

Let the number of tiles be represented as x

The equation is represented as:

$17.82 + $4 × x = $545.82

17.82 + 4x = 545.82

Collect like terms

4x = 545.82 - 17.82

4x = 528

Divide bother sides by 4

4x/4 = 528/4

x = 132

The number of ceramic tiles the contractor bought = 132 tiles

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

222

Step-by-step explanation:

Let L = number of boxes Linda sold.

Let P = number of boxes Penny sold.

The sold a total of 492 boxes.

L + P = 492

Penny sold 48 more boxes than Linda.

P = L + 48

Substitute P with L + 48 in the first equation and solve for L.

L + L + 48 = 492

2L + 48 = 492

2L = 444

L = 222

Answer: Linda sold 222 boxes.

Check:

Penny sold 48 more boxes, so she sold 222 + 48 = 270.

Add the numbers they sold: 222 + 270 = 492

The difference is 48, and the total is 492. Our answer is correct.

Answer: pick b

Step-by-step explanation:

Answer:

Step 2 and 3

Step-by-step explanation:

:)

Answer:

Mass of bread crumb is 20 times the mass of the ant..

Step-by-step explanation:

Mass of an ant = [tex]4\times 10^{-6}[/tex] kg

Ant carries a weight of bread crumb to its anthill.

Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg

Ratio of their masses,

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]

[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]

Mass of the bread crumb = 20×(Mass of the ant)

Therefore, mass of the bread crumb is 20 times the mass of the ant.

Answer:

Step-by-step explanation:

The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.

[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]

Do that for the next 2:

[tex]4^{-3}=\frac{1}{4^3}=\frac{1}{64}[/tex]

and

[tex]2^{-6}=\frac{1}{2^6}=\frac{1}{64}[/tex]

Answer:

The answer could be 40. I might be wrong.

Step-by-step explanation:

15 divided by 3/8 = 40

Answer:

(6,-7)

Step-by-step explanation:

the coordinates of point B are (6-7)

Answer:

the first answer is right

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because it has to be less than or no more than $100

Answer:

8=D

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

because at the top it is 65 so at the bottom its....

Answer:

80°

Step-by-step explanation:

Add 65° and 35° together to get 100°

The angles must equal 180° to make a triangle.

180° - 100° = 80°

Hope I helped :)

Please consider Brainliest :)

Answer:

v=31

Step-by-step explanation:

Average speed is total distance/total time.

We can rearrange this equation to find total distance:

Distance = time x speed

Our given time is 14 hours and our average speed is 13km/h, therefore the distance travelled 14x13=182m.

On a speed-time graph, the distance is found by finding area under the line on the graph. So to find v, we can find the area for the other sections first and then use the remainder to find v.

The total distances for the other 3 sections are: 4x6 + 6x12 + 4x12 = 24+72+24=120

182-144 = 38

This means that the area of the triangle with height v-12 has an area of 38.

Area of a triangle = 1/2bh

38=1/2(4)h

38=2h

h=19

The distance between v and 12 is 19 so the full value of v is 19+12=31

v = 31

Hope this helped!

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let X = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

[tex]E(X)=\sum X\cdot P(X)[/tex]

        [tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]

Thus, the player's expectation is a loss of 20 cents.

Answer:

The answer is -17.

Step-by-step explanation:

Well since the answer turns out to be a negative, one of the numbers has to be negative.(not all cases but for this one, yes)You have to add 12+5 and you get 17. This has to be a negative because the answer is a negative.

Answer:

Exponential Function; base = 3; initial value = - 6.1

Step-by-step explanation:

Answer:

[tex]-\sqrt2[/tex]

Step-by-step explanation:

csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]

Answer:

3c-5d

Step-by-step explanation:

Step-by-step explanation: