Find the length of Line segment A C . Use that length to find the length of Line segment C D . Triangle A B C is shown. A perpendicular bisector is drawn from point A to point C on side B D. Angle A B C is 30 degrees and angle A D C is 25 degrees. The length of A B is 10 centimeters. What is the length of Line segment C D? Round to the nearest tenth. 2.3 cm 4.0 cm 10.7 cm 18.6 cm

Answer:

The answer is 162.375

Step-by-step explanation:

150×8.25÷100=12.375

150+12.375=162.375

Round the decimaks if you need

Answer:

$162.375

Step-by-step explanation:

 $ 150 x 8.25% = 1,237.5

 1,237.5 / 100 = 12.375

--Costs: $150--  --Tax: 8.25%--

 $150 + 12.375 = $162.375

The first plane is farther from the airstrip after the second leg

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther

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To determine which triangles are similar to triangle ABC, we can use the concept of similarity criteria. Finally, we can determine that triangles BDF and ABC are not similar, as they do not satisfy any of the similarity criteria.

There are three similarity criteria that we can use to determine if two triangles are similar: AA (Angle-Angle) similarity: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. SSS (Side-Side-Side) similarity: If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. SAS (Side-Angle-Side) similarity: If two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Using these criteria, we can determine that triangles ADE and ABC are similar, as they both have a right angle at D and a common angle at A. Therefore, by AA similarity, the two triangles are similar.

Similarly, we can determine that triangles AEF and ABC are also similar, as they have a common angle at A and their corresponding sides are proportional. Therefore, by SAS similarity, the two triangles are similar.

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Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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Answer:

Calm down jamal. dont pull out the nine

Step-by-step explanation:

Answer:

1.5 or 1  1/2

Step-by-step explanation:

7  1/2 divided by 5 would equal to 1.5 or 1  1/2

Answer:

y=2x+7

Step-by-step explanation:

your making y the subject

put 2x over the other side of the equal sign

then change it from a negative to a positive

Answer:

so what is the question?

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

jus trynna get points

Step-by-step explanation:

Answer:

and I can believe that I can touch the sky : >

Step-by-step explanation:

i can belive that I can touch the sky

The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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Answer:

-159

Step-by-step explanation:

\(3 - 2 \times {3}^{4 } \\ 3 - 2 \times 81 \\ 3 - 162 \\ = - 159\)

The median if the given sequence  7,8,3,9,1 is 7.

For the given sequence: 7,8,3,9,1.

Arrange the number is ascending order (least to maximum).

Sequence is; 1, 3, 7, 8, 9.

The total number of number in the sequence is 6 that is the even number.

thus, the formula for  calculating the median for even number of numbers in sequence is;

median = n/2

median = 6/2

median = 3

Thus, the 3rd term is the median.

median = 7

Therefore, the median of the given sequence is 7.

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Georgia made many contributions to the war effort during World War I.

For each Georgia contribution, indicate the industry or group of people who made it. ( 1 answer will be used two times)

Trained Recruits

provided canned goods, uniforms, and bandages

planted victory gardens

Georgia farmers

volunteered for military duty

Georgia military facilities

grew cotton for clothing

CHOICES:

Georgia Farmers

Georgia Military facilities

Georgia Factories

Georgia Citizens

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

Answer:

0.7 pound per dollar

Step-by-step explanation:

To find the pounds per dollar, divide the number of pounds by the number of dollars:

560/800

= 0.7

So, the unit rate is 0.7 pounds per dollar

\( \large \bf \implies{} |10.5 - ( - 6.1)| \)

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

The coordinates of vertices U(1 , -3) , V(4 , -3) , T(1 , -4) , W(4 , -4) becomes

U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4) after the reflection across x-axis occurs.

In the question given 4 coordinates,

U(1 , -3)

V(4 , -3)

T(1 , -4)

W(5 , -4)

the reflection across x-axis

U(1 , -3) →U' (1, 3)

V(4 , -3) → V'(4 , 3)

T(1 , -4) → T'(1 , 4)

W(5 , -4) → W'(5 , 4)

so  after the reflection across the x axis the coordinates of the vertices becomes ,

U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4)

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Answer:

Four and twenty nine thousandths

Step-by-step explanation:

The expected value of X or E(X) is 2.45.

To find the expected value of a random variable X, denoted by E(X), we use the formula:

E(X) = ∑[x*P(X=x)]

where x is the value of X and P(X=x) is the probability of X taking the value x.

Using this formula, we can calculate the expected value of X based on the probability distribution table given to us.

X    1    2    3    4

P(X)   0.25 0.30 0.20 0.25

E(X) = (1 * 0.25) + (2 * 0.30) + (3 * 0.20) + (4 * 0.25)

= 0.25 + 0.60 + 0.60 + 1.00

= 2.45

Therefore, the expected value of X is 2.45.

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The probability distribution of the random variable X is given in the following table. Find the expected value of X . (Round your answer to 4 decimal places.) x -2 -1 0 1 2 P(X =x)  

a. 3

b. 2.45

c.6.9

d.1.2

Answer:

Step-by-step explanation:

Let the number be x,

2x+4 = 3x-7

Collect like terms

2x-3x= -4-7

-x =. -11

Multiply both sides by -1

x. =. 11

PLEASE MARK BRAINLIEST.

You need to add 3 5/9 to make 8. If you want to know what 4 4/9 goes to, to make 8, do the opposite which is subtracting. 8 turn to 7 9/9 and then subtract 4 4/9 and then you get the answer aka 3 5/9.

Let \(f(x) = x^3 - 2x - 2\). Then differentiating, we get

\(f'(x) = 3x^2 - 2\)

We approximate \(f(x)\) at \(x_1=2\) with the tangent line,

\(f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18\)

The \(x\)-intercept for this approximation will be our next approximation for the root,

\(10x - 18 = 0 \implies x_2 = \dfrac95\)

Repeat this process. Approximate \(f(x)\) at \(x_2 = \frac95\).

\(f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}\)

Then

\(\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}\)

Once more. Approximate \(f(x)\) at \(x_3\).

\(f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}\)

Then

\(\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}\)

Compare this to the actual root of \(f(x)\), which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

Answer:

27.70

Step-by-step explanation:

you have to do 87 divided by the pi you only have to do 3.14 as the pi.

(a) The transfer function, H(s), which is the result of the Laplace transform of two sides of the differential equation also solution  for Y(s)/F(s), where Y(s), F(s) are transform of of y(t) and f(t).

7Y(s) + 12Y(s)S = F(s)

Y(s)/F(s) = 1 / (7 + 12S)

Therefore, the transfer function is:

H(s) = 1 / (7 + 12S)

To find the impulse response function, we take the inverse Laplace transform of H(s):

h(t) = L^-1 {H(s)} = L^-1 {1 / (7 + 12S)}

Using partial fraction decomposition, we can write:

1 / (7 + 12S) = (1/12) / (s + 7/12)

Therefore, the impulse response function is:

h(t) = (1/12) e^(-7/12 t)

(b) Following the same procedure as in part (a), we obtain:

H(s) = (1 / (2 + 17S))

To find the impulse response function, we take the inverse Laplace transform of H(s):

h(t) = L^-1 {H(s)} = L^-1 {1 / (2 + 17S)}

through partial fraction

1 / (2 + 17S) = (-1/15) / (s + 2/17) + (2/15) / (s + 1/2)

the impulse reverse function

h(t) = (-1/15) e^(-2/17 t) + (2/15) e^(-1/2 t)

(c) By using the same method used in a and b

H(s) = (24 + 5S) / (2 + 3S)

To find the impulse response function, we take the inverse Laplace transform of H(s):

h(t) = L^-1 {H(s)} = L^-1 {(24 + 5S) / (2 + 3S)}

Partial fraction decomposition can be used

(24 + 5S) / (2 + 3S) = (8/3) - (4/3) / (s + 2/3)

h(t) = (8/3) δ(t) - (4/3) e^(-2/3 t)

(d) by following the methods used above

H(s) = (30F + 60S + 4S^2) / (10 + 18S + (1/3)S^2 + 4S^3)

To find the impulse response function, we take the inverse Laplace transform of H(s). However, the algebraic manipulation required to obtain the inverse Laplace transform in this case is quite involved and not practical to carry out here.

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Answer:Wait a sec

Step-by-step explanation: