The floor of a storage unit is 3 meters long and 2 meters wide. What is the distance between two opposite corners of the floor? If necessary, round to the nearest tenth.

Answer:

180 cm

Step-by-step explanation:

Number of trials per team = 3

Distance per trial for team D's car is the same for each trial, let distance = x

Distance per trial for team C's car is 1cm farther than team D's distance and the same for each trial, hence, distance = x + 1 per trial

Total distance traveled by C = 543 cm

This means :

(x + 1) + (x + 1) + (x + 1) = 543

3x + 3 = 543

3x = 543 - 3

3x = 540

x = 540 / 3

x = 180

Hence, distance traveled per trial for team D's car = x = 180 cm

Answer:

A

Step-by-step explanation:

since it is on sale for 27%, multiply $28 by 70% (0.7) to find the total amount of money the shirt costs now that it is on sale (since it's on sale for 30% off)

$28*0.7=$19.60

Answer:

$19.60

Step-by-step explanation:

First, find 30% of $28.  :)

To do this, multiply 28 by 0.3. (30% is the same thing as 3/10 or 0.3)

28 x 0.3 = 8.4.

30% of 28 is 8.4.

Next, subtract $8.4 from $28. (Shirt on sale for 30% off)

28 - 8.4 = $19.60

Have a great day!

The volume of the square base pyramid is 74.4 ft³

volume of a pyramid = 1 / 3 Bh

where

Therefore,

B = 16.3 ft

h = 13.7 ft

Hence,

volume of a pyramid = 1 / 3 × 16.3 × 13.7

volume of a pyramid = 223.31 / 3

volume of pyramid = 74.4366666667

volume of pyramid = 74.4 ft³

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Answer:

b

Step-by-step explanation:

Answer:

x=125

Step-by-step explanation:

Using the definition of supplementary angles, the value of x in the given diagram is: 45.

Supplementary angles equals 180 degrees when added together.

(2x + 40)° and (3x - 85)° are supplementary angles. Therefore:

(2x + 40) + (3x - 85) = 180

Solve for x

2x + 40 + 3x - 85 = 180

Add like terms

5x - 45 = 180

5x = 180 + 45

5x = 225

x = 225/5

x = 45

The value of x is: 45.

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Answer: x=14.4

Step-by-step explanation:

Answer:

40,320$.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The sides GH and FH are congruent, so Δ FGH is isosceles and the 2 base angles G and F are also congruent, then

∠ F = 65° → A

Answer:

x = 48 degrees

Step-by-step explanation:

This triangle is an isosceles which means that two of the angles are the same and all triangles add up to 180 degrees so we take the two angles we know and add them

66 + 66 = 132

Then we subtract that number from 180 to find the third angle

180 - 132 = 48

Answer:

x = 48°

Step-by-step explanation:

Since the legs of the triangle are congruent then the base angles are congruent, both 66° , then

x = 180° - (66 + 66)° = 180° - 132° = 48°

Answer:

Supplementary angles add to 180 degrees. So of the measure of the angle is x, the measure of its supplement is 2x. Angle = 60, supplement = 120

Step-by-step explanation:

Answer:

139.5º

Step-by-step explanation:

The sum of supplementary angles is 180º

s + 40.5 = 180

Subtract 40.5 from both sides

s = 139.5º

Answer:

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

Answer:

X= 130°

Step-by-step explanation:

360°= x°+107°+79°+44° (sum of angles in a quadrilateral)

360°= x°+230°

X= 360°-230°

X= 130°

1.47 times 10 to the power of -3

Answer:

Earnings (E), Time (T) Rate (R) E = 9t

On Friday he worked 9 hours

Step-by-step explanation:

divide 36 by 4 to get 9 (Fo that for all the earnings to make sure you got the correct answer) Then just divide 81 by 9 to get 9 hours.

Answer:

The two possible outcomes are 4 and -12, so 4

Step-by-step explanation:

The greatest value of x  is 4.

Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization.

Given equation

⇒ [tex]x^{2} +8x-30 = 18[/tex]

⇒ [tex]x^{2} +8x-30-18=0[/tex]

⇒ [tex]x^{2} +8x-48=0[/tex]

⇒ [tex]x^{2} +12x-4x-48=0[/tex]

⇒ [tex]x(x+12)-4(x+12)=0[/tex]

⇒ [tex](x+12)(x-4)=0[/tex]

x = -12 and x = 4

Hence, the greatest value of x  is 4.

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Answer: Linear

The equation is y = 2x-5

Slope = 2

y intercept = -5

====================================================

Explanation:

Each time x goes up by 1, y increases by 2. This directly leads to a linear equation due to the same rate of change no matter where you are in the table.

The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".

We could use the slope formula to see this. Pick on any two rows to plug in the coordinates. I'll use the last two rows

m = (y2-y1)/(x2-x1)

m = (3-1)/(4-3)

m = 2/1

m = 2

This confirms the slope is 2.

The positive slope means that the line goes uphill as you move from left to right.

---------------

The y intercept is b = -5 because the y intercept always happens when x = 0. This applies to any function, whether it's linear or not.

Together with m = 2 as the slope and b = -5 as the y intercept, we go from y = mx+b to y = 2x-5 as our linear equation

As a way to check, plug in something like x = 1 to find that...

y = 2x-5

y = 2*1-5

y = 2-5

y = -3

The table shows that x = 1 and y = -3 pair up together in the same row, so that confirms x = 1. I'll let you verify the other x values.

No,

[tex]9e + 2(e + 5) = 11e + 10[/tex]

And 11e + 10 is not equivalent to 11e + 5

Answer:

No, its not.

9e + 2(e+5)

= 9e + 2e + 10

= 11e + 10

---> 9e+2(e+5) when simplified gives 11e + 10.

---> Therefore, its not equal to 11e + 5

Answer:

A:(5,6)

Step-by-step explanation:

change the x to eqaul 5

The probability of drawing a red face card from a deck of cards is 3/26

Explanation:

In a deck of cards, there are 6 red-faced cards.

Probability = No. of favourable events / Total no. of events

So, the probability of drawing a red-faced card is 6 out of 52 cards.

Thus, the probability of drawing a red face card from a deck of cards is 6/52 = 3/26.

Answer:

i hope this helped ❤️❤️❤️❤️❤️❤️

Answer:

I cant see anything how am I supposed to help you?

Step-by-step explanation: