If m∠A = 29°, m∠B = 84°, and c = 14, what are the measures of the remaining sides and angle?

Answers

Answer 1

Answer:

m∠C = 67°, a = 7.37, b = 15.13

Step-by-step explanation:

There are 180° in a triangle. We know two angles in the triangle, so we can calculate the third angle.

Since this is not a right triangle, we will use the Law of Sines.

SinA/a = SinB/b = SinC/c

see image.

If MA = 29, MB = 84, And C = 14, What Are The Measures Of The Remaining Sides And Angle?

Related Questions

how many times does 6 go into 137

Answers

Answer: 22 times

Step-by-step explanation: divide 137 by 6

22.833333333

137 divided by 6

HELP PLSSSSSSSS I'M LOST PLSSSSSSSSSSSSSSSSSS

Answers

Answer:

1. 1/4 or 25/100, .25 and 25%

2. 1/10 or 1/100, .10 and 10%

Step-by-step explanation:

25 cubes out of 100 is 25/100

Simplify to 1/4

if its 25 cubes out of 100 its gonna fill up 25% or .25 of the whole thing

10 cubes out of 100 is 10/100

then simplify to 1/10

other two are obvious lol

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST AND 5 STAR AND THANKS

Answers

Answer:

it  wont let me put any numbers down, it keeps saying they're improper

Step-by-step explanation:

During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 150 holes? Round to the nearest whole number if necessary.

70 pars or better

60 pars or better

65 pars or better

53 pars or better

Answers

Dirk will make 70 pars or better.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that During the first several rounds of a golfing league, Dirk made par or better on 42 out of 90 holes.

Out of 90 holes, Dirk made par or better on 42 holes.

At this rate, Out of 1 hole, Dirk made par or better on (42/90) holes.

Then, Out of 150 holes, Dirk will make par or better on -

(42/90 x 150) holes

(42/90 x 150)

70

Therefore, Dirk will make 70 pars or better.

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Write an inequality comparing 3/4 and 2/4.

Answers

Answer:

3/4 > 2/4

Step-by-step explanation:

3/4 = 0.75

2/4 = 0.5

Therefore, 3/4 > 2/4

Given that MTW = CAD, which segments are corresponding parts of the congruent triangles?

Answers

Answer: MW = CD

Explanation: It would be this way because if you wrote the triangles out, MW would be in the same place as CD, making them corresponding.

The following segments are corresponding parts of the congruent triangles.

segment MT ≅ segment CA

segment TW ≅ segment AD

segment MW ≅ segment CD

What are congruent triangles?

Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size.

Given that

Triangle MTW = Triangle CAD

If two triangles are congruent then the corresponding sides and corresponding angles are congruent.

segment MT ≅ segment CA

{corresponding parts of the congruent triangles}

segment TW ≅ segment AD

{corresponding parts of the congruent triangles}

segment MW ≅ segment CD

{corresponding parts of the congruent triangles}

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what is 7 divided by 9102

Answers

Answer:

[tex] = 9102 \div 7 \\ = 1300.29 \\ [/tex]

Scientific answer: 7/9102= 7.690617447 x 10^-4
Mathematical answer is just 7/9102.

Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4), D(-4,0). Classify the parallelogram and select all that apply


ABCD is a square

ABCD is a rectangle

ABCD is a rhombus

ABCD is none of the above

Answers

9514 1404 393

Answer:

  D.  none of the above

Step-by-step explanation:

The sides are different lengths and not at right angles, so the figure is not a rhombus or a rectangle. It is "none of the above."

__

Counting grid squares in the attached figure, we see that one side is the diagonal of a 2×3 rectangle, and the adjacent side is the diagonal of a 1×3 rectangle. This tells you two things: (a) the sides are different length, (b) they are not at right angles to each other. (If the sides were perpendicular, the slopes of the segments would be opposite reciprocals.)

Hurricane Irma knocked a tree down and destroyed a 45 degree section of your
circular fence that has a radius of 22 feet. If you want to replace the fence, how
long would you need the replacement section to be?h

Answers

The correct answer is 17.27 feet

Pls help me I beg u I need help with the red ones

Answers

Answer:

  see below

Step-by-step explanation:

You want the ingredient quantities for several different multiples of the basic recipe.

Table Values

To fill the table, consider what the column heading is as a multiple of the recipe for 12 people. Use that multiplier for the rest of the numbers in the column.

  [tex]\begin{array}{ccccc}\text{12 people}&\times2&\times3&\times\dfrac{1}{3}&\times\dfrac{1}{2\vphantom{g_g}}\\\cline{1-5}1\text{ cup}&2&3&\dfrac{1\vphantom{b^b}}{3\vphantom{g_g}}&\dfrac{1}{2}\\3\text{ cups}&6&9&1&1\dfrac{1}{2}\\2\text{ cups}&4&6&\dfrac{2}{3\vphantom{_g}}&1\\\dfrac{1}{2}\text{ cup}&1&1\dfrac{1}{2}&\dfrac{1}{6}&\dfrac{1\vphantom{^b}}{4\vphantom{_g}}\\1\dfrac{\vphantom{^b}1}{3}&2\dfrac{2}{3}&4&\dfrac{4}{9}&\dfrac{2}{3}\end{array}[/tex]

Ginnys team scored 22 points during the first half of a basketball game.Her team scored 39 points during the second half of the game. Ginnys team beat the other team by 8 points. Which expression could be used to find the other teams score

Answers

Her team scored a total of 22+39 = 61 points. This is 8 points higher than the other team, so the other team scored 61-8 = 53 points.

As for which expression your teacher wants as the final answer, it will depend on how simplified you want it to be. You could have the following possible answers:

22+39-861-8

Other expressions may be possible as well.

Answer:

The answer depends on whether your teacher wants an algebraic expression or an arithmetic expression.

Algebraic might be:

s = g - 8

Arithmetic:

39 + 22 - 8

Step-by-step explanation:

s (score) is the total number of points Ginny's team scored (g) minus 8 because Ginny's team scored 8 more than the other team.

Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.
(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?
(b) What is the probability that the mean return will be less than 8%?

Answers

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that [tex]\mu = 8.7, \sigma = 20.2[/tex]

40 years:

This means that [tex]n = 40, s = \frac{20.2}{\sqrt{40}}[/tex]

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}[/tex]

[tex]Z = 1.35[/tex]

[tex]Z = 1.35[/tex] has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}[/tex]

[tex]Z = -0.22[/tex]

[tex]Z = -0.22[/tex] has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

Please someone help me

Answers

Answer:

6,9 and 3 times respectively

6,9 3 times trust me

The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs arrive at the hotel every 8 minutes; if a taxi drives by the hotel and the line is full, it must drive on. Hotel guests require a taxi every 5 minutes, on average. It takes a cab driver an average of 3.5 minutes to load passengers and luggage and leave the hotel(exponentially distributed).
1. What is the average time a cab must wait for a fare?
2. What is the probability that the line will be full when a cab drives by, causing it to drive on?

Answers

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= [tex]5+3.5[/tex]

= [tex]8.5 \ minutes[/tex]

The mean arrival rate will be:

[tex]\lambda =\frac{60}{5}[/tex]

  [tex]=7.5 \ cabs/hr[/tex]

The mean service rate will be:

[tex]\mu= 7.05 \ cabs/hr[/tex]

(1)

The average time a cab must wait will be:

⇒ [tex]W_q=22.95-\frac{1}{7.05}[/tex]

⇒       [tex]=\frac{161.798-1}{7.05}[/tex]

⇒       [tex]=\frac{160.798}{7.05}[/tex]

⇒       [tex]=22.81 \ minutes[/tex]

(2)

The required probability will be:

⇒ [tex]P(X\geq 6)=\frac{1-2.115}{1-7.5}[/tex]

⇒                  [tex]=\frac{-1.1115}{-6.5}[/tex]

⇒                  [tex]=0.171[/tex]

PLS I NEED HELP ASAP!!!!

Answers

Answer:

Step-by-step explanation:

180 - ( 37+67) = 180 - 104

                      = 76°

Geometry The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.

Answers

Answer:

shaded area = 2x² + 6x + 17

If these are squares, what is the "x + 3"?

Step-by-step explanation:

shaded area = (x + 4)² - (x - 1)² = x² + 8x + 16 + x² - 2x + 1 = 2x² + 6x + 17

If hari buys 20biscuits for Rs 200 and sells it for Rs 100 find the loss​

Answers

Answer:

hdvbn

Step-by-step explanation:

nfshvjjnmmnjjmbm

He buys 20 biscuits for 200 (1 biscuit for 10)
And sells 20 biscuits for 100 (1 biscuit for 5)
The loss is 100

What's the area of the square?​

Answers

Your answer is D. 25.25

Answer: 18

Step-by-step explanation:

you just times the 4 1/2 4 times

the distance around a square room measures 101 feet 7 inches. Estimate the length of each side of the room​

Answers

Answer:

304.75 inches

Step-by-step explanation:

Total distance = 101 feet 7 inches

Recall :

1 Feet = 12 inches

Total distance in inches = (101 * 12) + 7 = 1219 inches

Perimeter of square = 1219

Sides of a square are always equal

Number of sides = 4

Hence, length of each side = 1219 inches / 4 = 304.75 inches

Find the surface area of this box in square inches.
Use the formula : SA= 2lw + 2lh + 2w
L = 18 in

w = 20 in

h = 16 in

Find the surface area of the box.
Use the Formula: SA=2lw+2lh+2wh
L= 10.5 in

W= 15.5 in

H= 20 in

Answers

Step-by-step explanation:

1.

Given that,

L = 18 in , w = 20 in , h = 16 in

The surface area of the box is given by :

SA= 2lw + 2lh + 2wh

Put all the values,

SA= 2lw + 2lh + 2wh

= 2(lw+lh+wh)

= 2(18(20)+18(16)+20(16))

= 2 (968)

= 1936 in²

2.

L= 10.5 in , W= 15.5 in , H= 20 in

The surface area of the box is given by :

SA= 2lw + 2lh + 2wh

Put all the values,

SA= 2lw + 2lh + 2wh

= 2(lw+lh+wh)

= 2(10.5(15.5)+10.5(20)+15.5(20))

= 2 (682.75)

= 1365.5 in²

Hence, this is the required solution.

In Satoru's hometown, the highest temperature ever recorded is 111°F.
Convert this temperature to Celsius. Round to the nearest tenth of a
degree. F= _C + 32
5

Answers

Answer:

Step-by-step explanation:

F=9/5C+32 should be F = (9/5)C + 32

We are given 111 degrees F and want the same temperature in degrees Celcius.

In F = (9/5)C + 32 multiply all three terms by 5:

5F = 9C + 160, which can be solved for C:

5F - 160 = 9C

Let F = 111.  Then   555 - 160 = 9C, or

                               395 = 9C

Dividing both sides by 9, we get   C = 395/9 = 43 8/9 degrees C

Which of the following is a line in the drawing?

Answers

Answer:

JN

Step-by-step explanation:

It is the only segment that does not have a bend.

Looking out from a balcony, the angle of elevation to the top of the next building is
approximately 22 degrees. The angle of depression to the bottom of the building is
approximately 29 degrees. If the building is 200 feet away, how tall is it?

Answers

Answer:

191.67 feets

Step-by-step explanation:

From. The attached picture :

Height x can be obtained using trigonometry :

Tan 22 = x / 200

0.4040262 = x / 200

x = 0.4040262 * 200

x = 80.805245 feets

For height, y :

Tan 29 = x / 200

0.5543090 = x / 200

y = 0.5543090 * 200

y = 110.86181 feets

Building height = x + y

Building height = 80.805245 + 110.86181 = 191.67 feets

6x2x(x−3) x (x−3)10(x+2)

Answers

The product of given numbers is 60x³(x−3)²(x+2)

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra,

Multiply the numbers:

6x²x(x−3) * (x−3)10(x+2)

Multiply 6 and 10

60x²x(x−3) (x−3)(x+2)

Multiply x terms

60x³(x−3) (x−3)(x+2)

Multiply (x-3) terms

60x³(x−3)²(x+2)

So, the product of given numbers is 60x³(x−3)²(x+2)

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3. Mia has read 27 pages out of an 80 page book. What percent of the pages has she read?​

Answers

Answer: She has read 33.75% of the pages.

Explanation: You can divide 27 by 80 to get the answer :)

Graph the linear equation q(x)=-3x+1

Answers

The linear function q(x) = -3x + 1 is graphed and attached

How to graph the linear function

The graph of the linear function is a straight line graph and the table of values used in making the plot is calculated as follows

For x = -20,  q(x) = -3 * -20 + 1 = 61

For x = -10,  q(x) = -3 * -10 + 1 = 31

For x = 0,  q(x) = -3 * 0 + 1 = 1

For x = 10,  q(x) = -3 * 10 + 1 = -29

For x = 20,  q(x) = -3 * 20 + 1 = -59

Table of values

x     y

-20  61

-10    31

0      1

10     -29

20    -59

These points are plotted in the cartesian coordinate by tracing the point of intersection of the x and y and marking it. Then the marked points are joined together to form a straight line

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what are two fractions that equal to 4/6​

Answers

Answer: 2/3, 8/12

Step-by-step explanation:

Answer:

2/3 and 8/12 (brainlest plssss)

Step-by-step explanation:

solve the following equation n-31/105>1

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{n - \dfrac{31}{105}>1}[/tex]

[tex]\large\textsf{First you have to SIMPLIFY EACH SIDES of the INEQUALITY}[/tex]

[tex]\mathsf{n + (-\dfrac{31}{105})>1}[/tex]

[tex]\large\textsf{Second ADD }\mathsf{\dfrac{31}{105}}\large\textsf{ to BOTH of your SIDES}[/tex]

[tex]\mathsf{n - \dfrac{31}{105}+\dfrac{31}{105}> 1 +\dfrac{31}{105}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{-\dfrac{31}{105}+\dfrac{31}{105}}\large\textsf{ because that gives the value of 0}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{1+\dfrac{31}{105}}\large\textsf{ because it helps what is being COMPARED to the n value}[/tex]

[tex]\large\textsf{Simplify above (}\mathsf{1+\dfrac{31}{105}}\large\textsf{) and you should have your result to this question}[/tex]

[tex]\mathsf{1+\dfrac{31}{105}=\bf \dfrac{136}{105}}[/tex]

[tex]\boxed{\mathsf{Answer: \bf n> \dfrac{136}{105\ }\boxed{\large\textsf{ it is an \bf O P E N E D circle shaded to the right}}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

In November, the Sport Shop sold
74 pairs of snow skis and 3 pairs of water
skis. Each month the shop sold 11 more
pairs of water skis and 6 fewer pairs of
snow skis than the previous month,
When was the first month the shop sold
more water skis than snow skis?

Answers

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

Paulo’s grandfather gave him a collection of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paulo will have more than 50 coins in his collection?

Answers

Answer:

[tex]4m+20>50[/tex]

Step-by-step explanation:

Let m represent the amount of months that has passed.

Paulo started out with 20 coins.

Each month, he adds four more coins to his collection.

Therefore, the amount of coins added after m months will be given by 4m.

So, the amount of coins Paulo has total after m months can be given by:

[tex]4m+20[/tex]

We want to know when Paulo will have "more than" 50 coins in his collection. Therefore, we will use the "greater than" sign. Thus, our inequality will be:

[tex]4m+20>50[/tex]

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