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Answer:

x = 5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 16²

x² + 81 = 256 ( subtract 81 from both sides )

x² = 175 ( take the square root of both sides )

x = [tex]\sqrt{175}[/tex] = 5[tex]\sqrt{7}[/tex] ≈ 13.23 units ( to 2 dec. places )

Answer:

x = 5√7

Step-by-step explanation:

By pythagoras theorem,

(hypotenuse)² = (altitude)² + (base)²

(hyp)² - (base)² = (alt)²

(16)² - (9)² = x²

256 - 81 = x²

x² = 175

x = √175

x = 5√7

hope this helps you!

Answer:

I'm not great with domain and range but for the 4th question the answer is b. and for the 5th part 1 the answer is a. and for part 2 the answer is d. i believe

The equation of the line that passes through the point (6,4) and is parallel to 2x + 3y = 18 is: y = -2/3x + 8

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that line passes throuthe gh the point (6,4) and is parallel to 2x + 3y = 18.

Parallel lines have the same slope

To Find slope of 2x + 3y = 18

Then Start by putting it in y = mx+b form;

Y = -2/3x + 18

Slope = -2/3x

Y = -2/3x + b

Now Plug in the points into equation

4 = -2/3(6) + b

4 = -4 + b

b = 8

Hence, the Equation: y = -2/3x + 8

Learn more about equations here;

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Answer:

x= -2, y = 5

Step-by-step explanation:

y = -4x-3

y = -2x+1

Set the two equations equal to each other

-4x-3 = -2x+1

Add 4x to each side

-4x-3 +4x = -2x+1+4x

-3 = 2x+1

Subtract 1 from each side

-3-1 = 2x+1-1

-4 =2x

Divide by 2

-4/2 = 2x/2

-2 =x

Now find y

y = -4x-3

y = -4(-2) -3

y = 8 -3

y =5

Answer:

see explanation

Step-by-step explanation:

Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{h}[/tex]  = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

h = 20[tex]\sqrt{2}[/tex]

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Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] = 1 ( multiply both sides by x )

x = 20

Answer:

The line that matches the equation y=2x+4 is line e.

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

Answer:

x = 8

The measure of angle A = 30°

Step-by-step explanation:

angle A and B are supplementary and their sum is 180°

6x - 18 + 14x + 38 = 180° add like terms

20x + 20 = 180

20x = 180 - 20

20x = 160 divide both sides by 20

x = 8 and the measure of angle A

6x - 18 ➡ 6 × 8 - 18 = 30°

Answer:

7 seconds i think let me know if its wrong

Step-by-step explanation:

Answer: for the first question, after an hour there would be 39,000 gallons left and it would take 450 minutes to drain the pool

Step-by-step explanation:

You multiple the minutes with the rate or which the gallons are being drained and subtract it by the total amount,

Ps can I get the brainliest answer

We want to get the domain and range, graph, and analyze the given function.

We have the function:

w(t) = 45,000 - 100*t.

First, we want to get the domain and range of the function.

The domain is defined as the possible values of the input, in this case, is the time.

The smallest value of the time is t = 0, and the largest is the value of t such that the pool is empty, so we need to solve:

w(t) = 0 = 45,000 - 100*t

t = 45,000/100 = 450

Then the domain is D = [0, 450]

The range is the set of the possible outputs, the output represents the amount of water in the pool, it goes from full to empty, so the range is:

R = [0, 45,000]

The graph of the function can be seen below.

How much water is in the pool after 60 minutes?

Just replace t by 60 in the equation.

w(60) = 45,000 - 100*60 = 39,000

This is 39,000 gallons of water.

How many minutes will it take to empty the pool?

We already found that it takes 450 minutes.

If you want to learn more, you can read:

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Answer:

please check the explanation.

Step-by-step explanation:

Let suppose we have a number = n  

The negative reciprocal of 'n' = -1/n

Taking the product of 'n' and its negative reciprocal '-1/n':

[tex]n\left(-\frac{1}{n}\right)[/tex]

remove parentheses: (-a) = -a

[tex]=-n\frac{1}{n}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=-\frac{1\times \:n}{n}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:n[/tex]

[tex]=-1[/tex]

Canceling the common factor (the number itself) will bring -1.

It proves that the multiplication of any number and its negative reciprocal will always yield -1.

Answer:

The answer to your question is A.

Step-by-step explanation:

Answer:

x^2 + 7/2 + 15 is the answer.

Step-by-step explanation:

Make the number that is equal to x be on the side of the x, then multiply those to values.

x = -6

x= 5/2

(x + 6)*(x - 5/2)

Now, distribute the x to the x and the negative 5/2, and add that to 6 distributed to x and negative 5/2. Simplify.

[tex]x^{2} + -\frac{5}{2}x + 6x + 15\\\\x^{2} + \frac{7}{2} + 15[/tex]

#teamtrees #WAP (Water And Plant)

Answer:

the answer is B

Step-by-step explanation:

pay attention to the word NOT

Answer:

D

140/300 simplifies to 14/30 and that can be simplified even more to 7/15

Answer: 0.3 cm per hour

Step-by-step explanation:

got it off of quizizzes

Answer:

720

Step-by-step explanation:

0.64 x 2000 = 1280

2000 - 1280 = 720

No. of people supporting the home team out of 2000 people is 720.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, At a basketball game, 64% were supporting the visiting team.

The percentage of people supporting the home team is

(100 - 64)% = 36%.

Now, Total number of people who came to watch is 2000.

∴ No. people supporting the home team is,

= (36/100)×2000.

= 36×20.

= 720 people.

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Answer:

y = 2

Step-by-step explanation:

(8y – 3) = 13

8y = 13 + 3

8y = 16

y = 2

Answer:

y = 2

Step-by-step explanation:

8y = 13 + 3

8y = 16

y = 2

good luck

Answer:

2. 7 + 4

3. 21 - 27

4. 8 - 28

Step-by-step explanation:

2. 1 (7+4) = 1×7 + 1×4 = 7 + 4

3. 3 (7-9) = 3×7 - 3×9 = 21 - 27

4. 4 (2-7) = 4×2 - 4×7 = 8 - 28

hope this helps :)

Answer:

1. the answer is 7+4

2. the answer is 21-9.

3. the answer is 8-7.

Hope this helps, have a great day/night, and stay safe!

Answer:

She should have multiplied by 4, not divided

Step-by-step explanation:

Given

[tex]\frac{H}{4}[/tex] - 11 = 13 ( add 11 to both sides ) ← correct

[tex]\frac{H}{4}[/tex] = 24 ( multiply both sides by 4 to clear the fraction )

H = 4 × 24 = 96

H is divided by 4, thus the inverse operation is to multiply

Answer: The answer would be 7.03

Step-by-step explanation: cause you gotta get the 28 in there i hope im right

Answer:

15 quarters

Step-by-step explanation:

Assuming q = quarters and d = dimes...

First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.

q + d = 28

.25q + .10d = 5.05

Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.

q + d = 28

4(.25q + .10d) = 4(5.05)

After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6

q + d = 28

q + .4d = 20.20

Divide both sides by .6 to get d by itself.

.6d = 7.8

There are 13 dimes.

d = 13

Subtract 13 from the total coins (28) to get the amount of quarters.

28 - 13 = 15

13 dimes, 15 quarters. Hope this helped!

Answer:

74.64

Step-by-step explanation:

hope this helps :)

Answer:

74.60

Step-by-step explanation:

Hope this helps!

Answer:

8/125

Step-by-step explanation:

Answer: x= -7/5 procedure: -2x-8-1=3x-6+4       -2x-9=3x-2   -2x-3x= -2+9    -5x= 7   answer: x= -7/5

Answer: 5/2

Step-by-step explanation:

Using slope formula m = rise/run