Consider this right triangle with given measures.

What is the length of the unknown leg of the given right
triangle?
O 3ft
O vo ft
O 39 ft
O 89 ft

Answer:

65

Step-by-step explanation:

To find the second factor of a multiplication problem with only the answer and the first factor, divide the answer by the first factor.

[tex]2600/40= 65.[/tex]

Therefore, 40 × 65 = 2600.

Answer:

Distance LM = 5.20 unit (Approx.)

Step-by-step explanation:

Given coordinates;

L(1, 4, 7) and M(2, 9, 8)

Find:

Distance LM

Computation:

Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²

Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²

Distance LM = √(1)² + (5)² + (1)²

Distance LM = √1 + 25 + 1

Distance LM = √27

Distance LM = 3√3 unit

Distance LM = 3(1.732)

Distance LM = 5.196

Distance LM = 5.20 unit (Approx.)

Answer:

the answer is seven units

Answer: This is not a function

Why not?

The input x = 2 leads to more than one output. In this case, it leads to y = 20 and y = 40 simultaneously. This is the reason why we don't have a function. A function is only possible if each input x leads to exactly one y output.

Put another way: we cannot have x repeating any values if we want a function.

Side note: We could have y repeat however. So it's possible to have a function with the two points (1,5) and (3,5).

Answer:

a. 5177 cm³

b. 3,451 cm³

c. 67%

Step-by-step explanation:

Given:

Diameter of each ball (d) = 13 cm

Radius of the ball (r) = radius of the cylinder = ½(13) = 6.5 cm

Height of the cylinder (h) = the sum of the diameters of the 3 balls = 3(13) = 39 cm

a. Volume of cylinder = πr²h

Plug in the values

Volume of cylinder = π*6.5²*39 = 5176.56 ≈ 5177 cm³

b. Total volume of the three balls = 3(volume of 1 ball) = 3(volume of sphere) = 3(⁴/3πr³)

Plug in the value

Total volume of the 3 balls = 3(⁴/3*π*6.5³) = 3(1150.35) = 3,451.05 ≈ 3,451 cm³

c. % of volume of the container occupied by the 3 balls = total volume of the three balls / volume of cylinder × 100

Plug in the values

= 3,451/5177 × 100

= 66.6602279

≈ 67%

If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.

So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.

After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155

So after the deposit, the account balance is $155

It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.

Answer:

The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

92.7% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.927}{2} = 0.9635[/tex]. So we have T = 2.1437

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.1437\frac{3.99}{\sqrt{45}} = 1.275[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 49.41 - 1.275 = 48.135 pounds

The upper end of the interval is the sample mean added to M. So it is 49.41 + 1.275 = 50.685 pounds.

The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.

Answer:

I am sure the answer is 300

b= 8

Step-by-step explanation:

If we rewrite the 2nd equation, it becomes

15y = -6x - 11 ---> y = (-2/5)x - (11/15)

In order for this system of equations to have no solution, they must have the same slope, i.e., they're parallel to each other. So rewriting the 1st equation,

20y = -bx + 11

---> -b/20 = -0.4 or b = 8

Answer:

Step-by-step explanation:

-38 + -12x < -200

Answer:

-38 - 12x > -200

x = 13.5 min

Step-by-step explanation:

let x = minutes of the dive

-38 ft - 12 ft/min(x) > -200 ft

-12 ft/min(x) < -162 ft

x > -162/-12   **flip the inequality when you divide by a (-) number

x > 13.5 min

Starting at -38 ft, he has to dive longer than 13.5 minutes to go deeper than -200 ft at a rate of -12 ft/min

Answer:

Step-by-step explanation:

1) mean: sum the values and divide for how many they are

Red birds: (87+94+99+85+106+111)/6 = 97

Rockets : (93+107+87+89+108+92)/6 = 96

the Red birds have the higher mean, that is 97

2) median

set the numbers from the least to the greatest and check the number in the middle

Red birds: 85, 87, 94, 99, 106, 111

there are two numbers in the middle, so we have to added up them and divide the result by two

median = (94  + 99)/2 = 96,5

Rockets = 87, 89, 92, 93, 107, 108

median = (92+93)/2 = 92,5

the Red birds have the higher median, that is 96,5

3) range: difference between the highest and the lowest value

Red birds = 111 - 85 = 26

Rockets = 108 - 87 = 21

the Red birds have the highest range, that is 26

Answer:

120 in²

Hope this helps!

Answer:

14.5833333333

Step-by-step explanation:

3.5x2.5=8.75, divided by 0.6 is 14.5833333333

Answer:

Step-by-step explanation:

To obtain the graph of f(x)-1 you only need to move down one unit   the graph of f(x).  What do you think is the best answer? I think is 4.

Answer: Graph 1

Step-by-step explanation:

Answer:i think A

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Answer: (-3,-1)

Step-by-step explanation:

Answer:

310

Step-by-step explanation:

35 - 5² + (2 * 5)² * 3

Solve inside the parenthesis.

35 - 5² + 10² * 3

Solve the exponents.

35 - 25 + 100 * 3

Solve the multiplication.

35 - 25 + 300

Solve the subtraction.

10 + 300

Add.

310

Answer:

X=3

Step-by-step explanation:

180-105-46=6x+11

6x+11=29

6x=18

x=3

Answer:

a) x=9

b)x>7 or x≤-8

Step-by-step explanation:

The best price for her to purchase ice cream is given as follows:

D. $49.60 / five gallon tub.

The best price is obtained applying the proportions in this problem, dividing the price by the volume of the cartoon/tub, in ounces.

For item a, the price per ounce is calculated as follows:

3.99/24 = $0.16625 per ounce.

The ratios for the remaining items are given as follows:

Hence the prices for items b, c and d are given as follows:

Due to the lower cost per ounce, the option D represents the best option for her to purchase ice cream.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

720 ft^2

Step-by-step explanation:

1) find the area of the swimming pool

A = 32 x 16 = 512 ft ^2

2) find the total area

A = 44 x 28 = 1232 ft^2

3) find the area of the deck

A = total area - area of the swimming pool = 1232 - 512 = 720 ft^2

Answer:

512

Step-by-step explanation:

The maximum allowable pipe diameter is given as : 0.501. Option B

From the question the interior diameter of the pipe is said to be 0.49

The pipe is said to have the thickness of 0.005 inches.

The exterior diameter of the pipe would be solved as 0.49 + 2 * 0.005

= 0.49 + 0.01

= 0.5

The questions said the variance in the diameter of this pipe is 0.001

Then the maximum allowable pipe diameter would be solved as: 0.001 + 0.5 = 0.501

The diameter of the pipe that is allowable is 0.501

Read more on diameter here:https://brainly.com/question/10907234

#SPJ1

here x = option c and here y= option a

xfgxfsdfxcxcxAnswer:

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Five multiplied by a certain number is added to two

 5          *                          x                        +             2

equals four times the number plus four

  =          4       *              x          +       4

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

5x + 2 = 4x + 4

Subtract 4x from both sides

x + 2 = 4

Subtract 2 from both sides

x = 2

Answer:

The high of the water is 2 cm.

Step-by-step explanation:

The equation of this volume is:

[tex]V=45*10*x[/tex]

We know that the volume is 900 cm³. So we just need to put this value in the above equation and solve it for x, which is the height.

[tex]900=45*10*x[/tex]

[tex]900=450*x[/tex]

[tex]x=\frac{900}{450}[/tex]

[tex]x=\frac{900}{450}[/tex]

[tex]x=2\: cm[/tex]

Therefore, the high of the water is 2 cm.

I hope it helps you!