help with the Measure of a triangle’s side

Help With The Measure Of A Triangles Side

Answers

Answer 1

Answer:

x = 163.5

x = 1.2

Step-by-step explanation:

Recall: SOH CAH TOA

For the first triangle:

Reference angle = 73°

Opposite = x

Adjacent = 50

Apply TOA:

Tan 73° = Opp/Adj

Tan 73° = x/50

50*Tan 73° = x

163.542631 = x

x = 163.5 (nearest tenth)

For the first triangle:

Reference angle = 4°

Opposite = x

Adjacent = 17

Apply TOA:

Tan 4° = Opp/Adj

Tan 4° = x/17

17*Tan 4° = x

1.1887558 = x

x = 1.2 (nearest tenth)


Related Questions

Car = V-8 sedan
Years driven = first and second
Miles driven = 15.500 miles first year and 14,500 miles second year
The cost of depreciation will be $

Answers

Answer:

$500

Step-by-step explanatioThe numberber of years driven is the first and second year

= 2

Miles driven

First year= 15,500

Second year= 14,500

Therefore the cost of depreciation can be calculated as follows

15,500-14,500/2

= 1000/2

= 500

Hence the cost of depreciation is $500

The answer is: 2,318

First year on the graph: 8.5

Second year on the graph: 6.9

First year:

15,500 x 8.5 = 131,750

131,750/100 = 1,317.50

Second year:

14,500 x 6.9 = 100,050

100,050/100 = 1,000.50

1,317.50 + 1,000.50 = 2,318

Find the 8th term in the
sequence
-1/2,-1, -2, -4,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)

Answers

Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

[tex]t *r^{n-1}[/tex]

where t is the first term and r is the ratio. We can substitute in the information we know:

[tex]-\frac{1}{2} *2^{n-1}[/tex]

We are looking for the eighth term, so we substitute 8 where n is:

[tex]-\frac{1}{2}*2^{8-1}[/tex]

We can simplify:

[tex]-\frac{1}{2}*2^7[/tex]

[tex]-2^6[/tex]

[tex]-64[/tex]

The height of the equilateral triangle below is 15 units. What is the value of x?

An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot

Answers

Answer: b

Step-by-step explanation: on edge

Answer: C. 30 StartRoot 3 EndRoot

Step-by-step explanation:

Took the test/exam

. A point P is equidistant from R(-2, 4) and S(6,-4)
and its x-coordinate is twice its y-coordinate.
(0) Find the coordinates of P.
(ii) Hence, determine whether P, R and S are
collinear, showing your working clearly.​

Answers

Answer:

I) coordinate of P is (11, 5.5)

II) Points are not collinear

Step-by-step explanation:

I) Let the coordinates of P be (a, b)

We are told that its x-coordinate is twice its y-coordinate. Thus, a = 2b

Now, P is equidistant from R(-2, 4) and S(6,-4). Thus;

PR = PS

Using the formula for distance between two coordinates, we have;

√((a - (-2))² + (b - 4)²) = √((a - 6)² + (b - (-4))²)

This gives;

(a + 2)² + (b - 4)² = (a - 6)² + (b + 4)²

Since a = 2b,then we have;

(2b + 2)² + (b - 4)² = (2b - 6)² + (b + 4)²

4b² + 8b + 4 + b² - 8b + 16 = 4b² - 12b + 36 + b² + 8b + 16

Simplifying this gives;

20 = 42 - 4b

42 - 20 = 4b

4b = 22

b = 22/4

b = 11/2

b = 5.5

Since a = 2b

Then a = 2 × 5.5

a = 11

Thus, coordinate of P is (11, 5.5)

II) Formula for area of triangle formed by three points is given as;

A = ½|(x1 - x2) (x2 - x3)|

|(y1 - y2) (y2 - y3)|

x1 - x2 = 11 - (-2) = 13

x2 - x3 = -2 - 6 = -8

y1 - y2 = 5.5 - 4 = 1.5

y2 - y3 = 4 - (-4) = 8

Thus;

A = ½|13 -8|

|1.5 8|

A = ½((13 × 8) - (1.5 × - 8))

A = ½(104 + 12)

A = 58

Since the area is not zero, then it means the points are not collinear.

Is this is a math question?

Answers

yes it is
it says mathematics 5 points

Work out the perimeter of this shape. Please help!


Answers

Answer: 138

Step-by-step explanation:

(65*2)=130

(4*2)=8

130+8=138

Answer:

2 (l+b )=2 (65+4)=2×69=128

The two lines below are parallel. If the slope of the red line is 3, what is the slope of the green line?

Answers

the slope of the green line would also be 3. this is because the lines are parallel which means they have the same slope.

30 POINTS AND BRAINLIEST Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn is 80 feet, the width is 50 feet, and the height is 30 feet. The paint costs $28 per gallon, and each gallon covers 420 square feet. What is the area of the barn Alexis needs to paint? ______________ Explain how you found your answer.

Answers

Answer:

It will cost $532 to paint the barn

Step-by-step explanation:

First we need to find the area of the barn's walls.

2 (length x height) + 2 (width x height)

=2 (80x30) + 2 (50x30)

=2 (2400) + 2(1500)

=4800+3000

=7800 ft^2

Now we can find the amount of gallons needed, then the total cost.

7800 ft^2/420 ft^2  

=18.57 gallons

=19 gallons  

19 gallons x $28

=$532

Answer:

520

Step-by-step explanation:

Area:

[tex]2(80*30) + 2(50*30) = 7800[/tex]

Price

[tex]\frac{7800}{420}*28 = 520[/tex]

4) Jenee made a 99, 86, 76, and 95 on her first four spelling tests. Her mother told her
that her spelling test average had to be a 91 for Jenee to get a new video game. What
does Jenee need to make on her next test?

Answers

Answer: She needs to get 99 on her next test.

Step-by-step explanation:

A circle has a diameter of 8.2 m. What is the area of a sector with a 125 degree
arc? Round your answer to the nearest tenth. *

Answers

Answer:24.2 m

Step-by-step explanation: yea u gotta use the metric system

Given the piecewise function below, which equation represents piece "B"?

Answers

Answer:

y=1

Step-by-step explanation:

x is 0 so there is no point putting that in in the equation y=mx+b you do have the b which is 1 so that is your equation

Write the explicit equation.
-8, -2, 4, 10

Answers

Answer:

a*n = -8 + (n - 1)6

Step-by-step explanation:

Explicit formula:

a*n = a*1 + (n - 1)d

a*1 = first term

n = nth term or the place

d = difference

Set: -8, -2, 4, 10

-8 ---> -2 = 6 added

Fill it in.

a*1 = -8

n = n

d = 6

Solution:

a^n = -8 + (n -1)6

URGENT NEED HELP CLICK TO SEE

Answers

Answer:

4.20

Step-by-step explanation:

First find the total cost of the nametags

105 * .12

12.60

Then divide by the 3 teachers

12.60/3 =4.20

Each teacher will pay 4.20

I Need helppp! Please helpp!!

Answers

9514 1404 393

Answer:

  x = 1/2

Step-by-step explanation:

There are some different ways to find the area of a donut shape. One is to multiply its centerline length by its width. We'll use that here to find the shaded area of the sector.

The centerline radius of shaded area A is ...

  (6x -2) cm + (1/2)(4x cm) = 8x -2 cm

The length of the centerline is ...

  s = rθ = (8x -2)(π/4) . . . . . . for a central angle of 45° = π/4 radians

Then the area A is ...

  area A = (π/4)(8x -2)(4x) = 2πx(4x -1) . . . cm^2

__

The radius of circle B is ((4 -4x) cm)/2 = (2 -2x) cm. The area of circle B is ...

  A = πr^2 = π(2 -2x)^2 cm^2

We're told the two areas are equal, so we have ...

  2πx(4x -1) = π(2 -2x)^2 . . . . . . . expressions for the areas are equal

  8x^2 -2x = 4x^2 -8x +4 . . . . . . divide by π, eliminate parentheses

  4x^2 +6x -4 = 0 . . . . . . . . . . . . subtract the right-side expression

  2(2x -1)(x +2) = 0 . . . . . . . . . . . factor

  x = 1/2 or -2 . . . . . . . only the positive solution is useful here

The value of x is 1/2.

does anyone know this

Answers

Answer:

YASSSSSSSS its c hope this helps

-  Isabella<3

Step-by-step explanation:

Write one way of representing the equation of the given line in point-slope form. Then rewrite the equation in slope-intercept form.

Answers

answer:

step-by-step explanation:
points (0, 3) and (7, 4)
point-slope form = y - y1 = m(x - x1)
y - 3 = 1(x - 0)
just add y and x from either point to complete the form
slope-intercept form = y = mx + b
y = (0, -3)
m = 1
y = x - 3
x is the slope and -3 is the y-intercept

PLEASE HELP ASAP
Mr. Green has a class of 15 students. He can spend $20 on each student to buy math supplies for the year. He first buys all of his students calculators, which
costs a total of $144.75. After buying the calculators, how much does he have left to spend on each student?

Answers

Answer:

10.35

Step-by-step explanation:

He has $300 (15x$20). He spends 144.75. He has 155.25 in total. That leaves 10.35 (155.25/15) to spend on each student.

please help me answer the question.ghvjhbikb

Answers

Answer:

240units^2

Step-by-step explanation:

The formula for area on a triangle is 1/2 x b x h, so you do 4 x 10 x 1/2, giving you 20, there are two of these triangles so you double it to 40.

Then for the rectangle below you do l x w, or 10 x 20 giving 200.

You then add it all together, 200+20+20=240 units squared.

Hope this helps!

Help please :) love yall. select three choices that are ways to show 0.48. last one is forty-eight tenths ​

Answers

Answer: The first, The second, and the number line one love!

Step-by-step explanation:

A bike ride event is 10 miles. A first aid tent is put 3/5 of the way from the start. What is the distance from the starting point to the first aid tent?

Answers

don't know but the distance between the starting point to the first aid tent is 6cm or miles don't know but this much far

Each quarter the marketing manager of a retail store divides customers into two classes based on their purchase behavior in the previous quarter. Denote the classes as L for low and H for high. The manager wishes to determine to which classes of customers he should send quarterly catalogs. The cost of sending a catalog is $15 per customer and the expected purchase depends on the customer’s class and the manager’s action. If a customer is in class L and receives a catalog, then the expected purchase in the current quarter is $20, and if a class L customer does not receive a catalog his expected purchase is $10. If a customer is in class H and receives a catalog, then his expected purchase is $50, and if a class H customer does not receive a catalog his expected purchase is $25. The decision whether or not to send a catalog to a customer also affects the customer's classification in the subsequent quarter. If a customer is class L at the start of the present quarter, then the probability he is in class L at the subsequent quarter is 0.3 if he receives a catalog and 0.5 if he does not. If a customer is class H in the current period, then the probability that he remains in class H in the subsequent period is 0.8 if he receives a catalog and 0.4 if he does not. Assume a discount rate of 0.9 and an objective of maximizing expected total discounted reward.
a) Formulate this as an infinite-horizon discounted Markov decision problem.
b) For ???? = 0.1, find a near-optimal policy using value iteration.
c) Find an optimal policy using policy iteration starting with the stationary policy which has greatest one-step reward.
d) Formulate the problem as a linear program, giving its primal and dual. Solve both and interpret the solutions.

Answers

Answer:

55

Step-by-step explanation:

If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)​

Answers

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

a) -4/5

b) -5/4

c) 4/5

d) 5/4

Answers

Answer:

d) 5/4

Step-by-step explanation:

The gradient is change in y over change in x

hope it makes sense

:)

a. -3/2
b. 0
c. 3/2
d. DNE

Answers

the answer would be cA

Help me please can someone tell me how to do this

Answers

Independent, should be the answer.

ATCs are required to undergo periodic random drug testing.
A simple, low-cost urine test is used for initial screening. It has been reported that this particular test has a sensitivity and specificity of 0.96 and 0.93. This means that if there is drug use, the test will detect it 96% of the time. If there is no drug use, the test will be negative 93% of the time.
Based on historical results, the FAA reports that the probability of drug use at a given time is approximately 0.007 (this is called the prevalence of drug use).
Draw a probability tree for the situation. (Use this order for the tree: Drug Use(yes/no) -> Test Result(+/-) -> Joint Probabilites)
A positive test result puts the air traffic controller’s job in jeopardy. What is the probability of a positive test result?
Find the probability an air traffic control truly used drugs, given that the test is positive.

Answers

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

[tex]P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\[/tex]

[tex]P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07[/tex]

As per the given info we draw the tree diagram which is defined in the attachment file.

[tex]P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )[/tex]

                  [tex]= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762[/tex]

[tex]P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}[/tex]  

[tex]= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882[/tex]

Two of the statements are true; one is a lie.

Select the one that is a lie.
Then explain your reasoning.

Use the sketching tool to help explain if you'd like.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.

Answers

Answer:

Step-by-step explanation:

The last statement is false.

∠BAF and ∠EAB are supplementary angles.

Help please and explain how to get the answerm

Answers

Answer:

147 degrees

Step-by-step explanation:

all the angles of a triangle add up to 180 degrees. so, you must perform the operation 180-(83+64) which equals 33. this is the angle supplementary to angle 1. to find angle 1, you must subtract 180 and 33 since supplementary angles add up to 180 degrees. this is equal to 147 degrees.

Which is the graph of f(x) =

Answers

It is impossible to know because you haven’t completed your question , the formula isn’t complete

Solve for x 5x - 10 = -10​

Answers

Answer:

the answer is x = 0

Step-by-step explanation:

Cancel equal terms on both sides of the equation:

[tex]5x = 0[/tex]

Divide both side of the equation by 5.

[tex]x = 0[/tex]

Therefore, the answer is x = 0

Answer:

5x - 10 = -10

+10 +10

5x = 0

divide by 5 on both sides:

x = 0

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