In ΔDEF, the measure of ∠F=90°, FD = 3.3 feet, and DE = 3.9 feet. Find the measure of ∠D to the nearest degree

Answer:

3u+12

Step-by-step explanation:

The number, in this case 3, is being multiplied by the terms inside the parenthesis, u and 4.

3*u=3u

3*4=12

So the simplified version is 3u+12.

-hope it helps

Answer:

the account will earn $4416.08

Step-by-step explanation:

it's average value is 7 which is shown as solved given

Answer:

12 to 8, 6 to 4

Step-by-step explanation:

The slope of the line passing through (-8, 2) and (8, 2) is 0.

The slope of a line is the change in y(dependent variable) with respect to change in x(independent variable).

The slope of a line is rise over run.

Therefore, the slope of a line can be express as follows:

slope = m = y₂ - y₁ / x₂ - x₁

Using  (-8,2) and (8,2)

where

x₁ = - 8

x₂ = 8

y₁ = 2

y₂ = 2

Therefore,

slope = m = 2 - 2  / 8 + 8

slope = 0 / 8

Therefore,

slope = 0

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Answer:

24

Step-by-step explanation:

Answer:

the first one, v < 1 23/25

Step-by-step explanation:

multiply both sides by 6 and divide by 5

v < 48/25, or v < 1 23/25

Answer:

v < 1 23/25

Step-by-step explanation:

5/6 v < 8/5

Multiply each side by 6/5

6/5*5/6 v < 8/5*6/5

v < 48/25

Rewrite as a mixed number

v < 1 23/25

Answer:

its called a calculator division and multiplication

Step-by-step explanation:

Answer:

the answer is 0.02222222 that goes on forever

Step-by-step explanation:

Answer: 4 to the power of 2 is 16 or 4*4=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

4 times 4= 16

4*4=16

Answer:

A positive number is obtained

Step-by-step explanation:

Answer:

You would get a positave number

Step-by-step explanation:

The length CF in the circle is 12.12 units

From the question, we have the following parameters that can be used in our computation:

TM = 14

This is the diameter of the circle

So, it means that

OC = OF = 14/2

OC = OF = 7

The length CF is then calculated as

sin(60) = (1/2 CF)/OC

This gives

sin(60) = (1/2 CF)/7

So, we have

1/2CF = 7 * sin(60)

Multiply by 2

CF = 2 * 7 * sin(60)

Evaluate

CF = 12.12

Hence, the segment is 12.12 units long

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Answer:

79.82

(Rounded to the nearest dollar 80)

Step-by-step explanation:

Surface area of Cylinder:

Circle:

π\(r^{2}\)=

1π = π

so since there are 2 circles it is 2π

Rectangle:

length*width=

3*Circumference

3*(2π)=

6π

Add them all together:

2π + 6π = 8π

≈ 8*3.14

so the answer is approximately 79.82

Hope this helps :)

The U.S. Fish and Wildlife Service used a sampling design called Simple Random Sampling to collect data on the fishing industry around Saginaw Bay. Simple random sampling was chosen because of its unbiased approach to the selection of sample members, allowing for equal opportunities for each fisherman to be represented in the study.

The U.S. Fish and Wildlife Service has used a sampling design called Simple Random Sampling. Simple Random Sampling (SRS) is a statistical technique used to gather data from a predetermined sample population randomly. The sample selected is done in such a way that each item in the population has the same probability of being selected as part of the sample size. The method used by the U.S. Fish and Wildlife Service fits the criteria for a simple random sample because it randomly selects 5 boats from a random fishing day to collect data, and it meets the characteristics of random sampling.What could go wrong with the design that they have proposed?There are several disadvantages to the simple random sample design which are: It may not provide an accurate representation of the population being studied because random sampling does not take into account the homogeneity of the population. This means that the sample may be unrepresentative, as a biased sample may affect the results of the study. Furthermore, random sampling is not practical when studying large populations, or when the population is too vast or unknown. Lastly, if the sampling method is done poorly, some individuals in the population may be excluded from the sample, which may affect the reliability and validity of the data. As a result, it is essential to ensure that the sampling design used in any research is appropriate for the population being studied.

In conclusion, the U.S. Fish and Wildlife Service used a sampling design called Simple Random Sampling to collect data on the fishing industry around Saginaw Bay. Simple random sampling was chosen because of its unbiased approach to the selection of sample members, allowing for equal opportunities for each fisherman to be represented in the study. However, the U.S. Fish and Wildlife Service must be cautious in their approach, ensuring that the sampling method used provides accurate and representative results.

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Answer:

-338-78= -416

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-15x-60

Step-by-step explanation:

Combine like terms 2x and -17x

2x-17x=-15x

Then bring back the -60

15x-60

Answer:

(x+5)(x-12)

Step-by-step explanation:

x2-20+3x-60

x(x-20)+3(x-20)

(x-20)(x+3)

Answer:

Add 5 to both sides

Step-by-step explanation:

x-5=16

+5  +5

x=21

Answer:

Addition

Step-by-step explanation:

x - 5 = 16

x - 5 + 5 = 16 + 5

x = 21

In order to find if the triangle is acute, right or obtuse, we need to compare the square of the bigger side (a) with the sum of squares of the other sides (b and c):

If a² > b² + c², the triangle is obtuse.

If a² = b² + c², the triangle is right.

If a² < b² + c², the triangle is acute.

So we have:

The triangle is obtuse, therefore the correct option is B.

Answer:

$ 324.00

Step-by-step explanation: First, convert R percent to r a decimal

r = R/100 = 5.4%/100 = 0.054 per year,

then, solving our equation

I = 500 × 0.054 × 12 = 324

I = $ 324.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 5.4% per year

for 12 years is $ 324.00.

Answer:

1) Slope= 2, y-intercept=4, equation: y=2x+4

2.Slope= -10 , y-intercept= 60 , equation: y=-10x+60

Step-by-step explanation:

Slope formula: \(\frac{y_{2}-y_1 }{x_2-x_1}\)

1. Plug in two sets of cordinates into the equation

(0,2) (2,8)

2. Solve, slope =2

3. Plug in one pair into the point slope formula

Point slope formula: \(y-y_1=slope(x-x_1)\)

4. y-8=2(x-2)

5.y-8=2x-4

6. y=2x+4

Do the same for the other equation

Answer:

1: slope

2: y-intercept

1a: slope= 3

1b: 2

y=3x+2

2a: slope= -10

2b: 60

y= -10x+60

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

x + 8 = 12

Subtract 8 from both sides :

x = 12 - 8

x = 4

Hope this helped and have a good day

Answer:

I think infinite since it goes on past these numbers.

Step-by-step explanation:

Answer:

Infinity solutions

Step-by-step explanation:

This inequality has infinite solutions because the number line goes from 3 to infinity. this means that there is an uncountable number of solution which means the answer to this question is E.

Answer:

Step-by-step explanation:

πr^2h = v

h = v/πr^2

Answer:

x = -6

Explanation:

-4(x + 2) = 16

-4x - 8 = 16

-4x = 16 + 8

-4x = 24

x = 24 / -4

x = -6

Answer:

-4( x + 2) = 16

First use the Distributive Property

-4x + ( -8) = 16

which can also be changed to -4x - 8 = 16

Then add 8 on both side to the equation ( add 8 to -8 and 16)

The equation becomes:

-4x = 24

Divide -4 on both sides and you get -6

Answer:

a) 9 / 200

b) 13 / 100

Step-by-step explanation:

a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.

Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).

There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10  = 9 / 200

b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.

There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100

Now we have a negative exponent, which is the opposite of a positive exponent.

If a positive exponent means you're multiplying by 10s and it makes a number bigger by moving the decimal to the right, then

the opposite of this is that a negative exponent means you're dividing by 10s and making the number smaller by moving the decimal point to the left.

Examples:

\(930 \div 10 = 93\)

\({\bf930 \div 10} \div 10 = {\bf 93} \div 10 = 9.3\)

The trick is to recognize that

\(930 \div 10\) is the same thing as \(930 \times 10^{-1}\)

\({}\div 10\) and \({}\times 10^{-1}\) mean the same thing.

So, \(930 {\bf {}\div 10 \div 10} = 930 {\bf {}\times 10^{-1} \times 10^{-1}} = 930 {\bf {}\times 10^{-2}} = 9.3\)

For your exercise, \({}\times10^{-24}\) means you'll move the decimal point 24 places to the left, to make the number smaller.

Answer:

El área del gimnasio sería 2000 metros cuadrados

Step-by-step explanation:

Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.

Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2

Por lo tanto, el lado del gimnasio sería 50 y 40.

El área del gimnasio sería 50 * 40 = 2000 metros cuadrados

Sample is used more often than a population as B. It is usually impossible to count the entire population

In many cases, it is not practical or possible to gather data from every member of a population. For example, imagine trying to survey the purchasing habits of every single adult in the United States. It would be incredibly time-consuming, costly, and difficult to reach everyone.

Instead, researchers use a sample, which is a smaller group of individuals chosen from the population. By analyzing the data from a sample, researchers can make inferences about the population as a whole.

Therefore, the correct option is B.

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1. A rectangle has parallel sides that are congruent with each other.

2. The adjacent sides are always 90 degrees or perpendicular with each other.

3. The diagonals are also congruent with each other.

From the given choices.

XY is congruent to WZ, it satisfies the note #1 above, therefore this is true

XZ is congruent to YW, it satisfies the note #3 above, therefore this is true

XY is perpendicular to YZ, it satisfies the note #2 above, therefore this is true

XZ is perpendicular to WY, the diagonals are always equal but not necessarily formed a 90 degrees angle, therefore this is NOT necessarily true.

The answer is Choice D.