Find the value of x in the given
right triangle.
7
X
10
x = [ ? ]

Answer:

11.94 %

Step-by-step explanation:

Compound interest formula     FV = PV e^(it)    i = decimal interest per year  

                                                                             t = time   FV = future value

2600 = 1000e^(i * 8)

  solve for i = 11.94 %

Based on the relationship of special angles, the values of x are:

1. x = 34

2. x = 9

3. x = 6

Alternate interior angles are equals and corresponding angles are also equal.

Linear pair angles are supplementary.

1. Angles j and a are linear pair angles, therefore:

3x + 15 + 2x - 5 = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 170/5

x = 34

2. Angles m and g are corresponding angles, therefore:

4x + 12 = 2x + 30

4x - 2x = -12 + 30

2x = 18

x = 9

3. Angles c and v are alternate interior angles, therefore:

6x + 9 = 3x + 27

6x - 3x = -9 + 27

3x = 18

x = 6

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Answer:

43.43 degrees

Step-by-step explanation:

This is a right triangle with the opposite LEG = 11 km and the hypotenuse = 16 km

sin (angle) = opposite/hypotenuse

                 = 11/16

arc sin (11/16) = angle = 43.43 degrees

Answer:

Question 8 of 25

The amount of water dispensed by a water dispenser is normally distributed,

with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In

which range will the amount of water dispensed be found 95% of the time

Answer:

s

The expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]

The points are given as:

(-3, 4) and (6, -2)

The distance between two points is calculated using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

This gives

[tex]d = \sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]

Hence, the expression that gives the distance is [tex]\sqrt{(-3 - 6)^2 + (4 + 2)^2}[/tex]

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eden must run 2 3/8 laps to complete the race.

To calculate the laps that Eden is missing, we must perform the following operation:

We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.

On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.

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Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.

What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me

Answer:

See below

Step-by-step explanation:

Given there are 56 M&M's:

Remember to use [tex]np[/tex] to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.

Answer:

D.

Step-by-step explanation:

0.45*5=2.25

0.25*9=2.25

2.25*2=4.50

Hope this helps!

If not, I am sorry.

The probability you spin something larger than 10 will be 1  /  2.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

The probability will be calculated as:-

Total numbers = 8

Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4

Probability  =  4  /  8  =  1  /  2

Therefore the probability you spin something larger than 10 will be 1  /  2.

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The value of n in the mathematical statement is 0.64

The statement is given as:

n multiplied by -5/8 equals -0.4

Rewrite properly as:

n * -5/8 = -0.4

Multiply both sides by -1

n * 5/8 = 0.4

Multiply both sides by 8/5

n = 0.64

Hence, the value of n in the mathematical statement is 0.64

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Since it is said to be a hollow rectangular prism,  she will fill it with sand to weigh it about (573 + 9/2) cubic inches.

What is the prism about?

Note that the volume is said to be:

V = L x B x H

316 in = 6 √2 x 2 √3

The answer is 573 while the other part of the prison is 9√2 cubic inches.

Therefore, option A is correct.

See full question below

Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it

down

6 √(2  in

316 in

2 √3 in

What is the volume of the bookend?

(Hint: The volume of a rectangular prism is the product of its length width and height.)

OA (573 + 9/2) cubic inches

B. 36/12 cubic inches

C 108 cubic inches

D. 216 cubic inches

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The true statements for this graph are:

B. The domain is the set of all real numbers.

D. The range is the set of all real numbers greater than or equal to zero.

A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:

y = (x - h)² + k

y = (x - 2)² + 0

y = x² -4x + 4

Therefore, the graph's domain include a set of all real numbers.

A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.

In conclusion, we can logically deduce that the true statements for this graph are:

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Answer:

Hi,

Step-by-step explanation:

[tex](x-10)^2=12(y+2)\\y=\dfrac{(x-10)^2}{12}-2\\y'=0 == > 2(x-10)/12=0 == > x=10 == > y=-2\\\\Vertex\ is\ (10,-2)\\[/tex]

Answer:

20

Step-by-step explanation:

It is because 9x2=18

3 subtracted from 18 is 15

15+5=20

please mark brainliest

Answer:

Step-by-step explanation:

Answer: 0.000000009085

Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!

Answer:

22.50

Step-by-step explanation:

25 percent 30

= (25/100)30

= (25*30)/100

= 750/100 = 7.50

$30 - $7.50 = $22.50

The three side length that describes the triangle in the image attached below are: 5 cm, 12 cm, and 13 cm.

A triangle is a shape that has three sides. The sides can be measured using a ruler.

The sides of the triangle in the image shown have side lengths as measured by the ruler beside each of the sides, which are 5 cm, 12 cm, and 13 cm.

Therefore, the three side lengths of the triangle in the diagram are: 5 cm, 12 cm, and 13 cm.

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In this situation, attendee number thirty will be the first one o receive both the bobblehead and the ticket.

Bobblehead:

Ticket:

It can be concluded the attendee number 30 will be the first one to receive both the ticket and the bobblehead.

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Answer:

4 pt = 8 cups

28 qt = 7 gallons

Step-by-step explanation:

We know, from your chart, that 1 p = 2 c

4 p is four times 1 p

so, to scale up 1 pint to 4 pints, we multiply by 4

to figure out what the corresponding number of cups would be, we also have to multiply that value by 4

if                1 p    =    2 c

then          4 p    =    8 c

               (1 x 4)      (2 x 4)

8 cups

--------

If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)

28 / 4 = 7

7 gallons

By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm

We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.

So we can write:

27,238 cm³ = (2/3)*V

Then the volume of the tank is:

V = (3/2)*27,238 cm³ = 40,992 cm³

The base of the tank measures 40cm by 28cm, then:

B = 40cm*28cm = 1,120 cm²

Then the height H is such that:

H*1,120 cm² = 40,992 cm³

Solving for H:

H = (40,992 cm³)/(1,120 cm²) = 36.6cm

The height of the tank is 36.6 centimeters.

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Answer:

The middle option on the top row

Step-by-step explanation:

Slope is calculated as rise/run between two points.

In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.

Answer:

not equivalent

Step-by-step explanation:

solve for x to see if they are equivalent

1/2x-8=9 and x-8=18

1/2x=17

x=34

x-8=18

x = 36

no they are not equivalent