Solve for an angle in right triangles help

Solve For An Angle In Right Triangles Help

Answers

Answer 1

Answer:

64.62 degrees

Step-by-step explanation:

Cosine adjacent/hypotenuse (sides)

CosB = (3/7)

B = [tex]Cos^{-1}[/tex](3/7)

B = 64.62

Answer 2

Answer:

64.62

Step-by-step explanation:

AC²= AB²-BC²

[tex]AC = \sqrt{ {(7)}^{2} - ({3)}^{2} } [/tex]

[tex] = \sqrt{49 - 9} = \sqrt{40} = 2 \sqrt{10} [/tex]

[tex] \tan(B) = \frac{AC }{ BC} [/tex]

[tex] B = { \tan}^{ - 1} \frac{2 \sqrt{10} }{3} [/tex]

[tex] = 64.62[/tex]


Related Questions

The sum of one and the product of four and a number x.

Answers

The sum of one and the product of four and a number looks like this: 1 + (4n) or 1 + (4 x n) whatever you prefer.

What’s the answer to the question

Answers

Answer:

Out of all four, your answer would be the second choice: Y=0.4X.

Step-by-step explanation:

In order to get the answer, all you have to do this divide any y value you find on the line by the any x-value (as long as they're connected).

In this case, I decided to divide 2 by 5.

2/5 = 0.4.

You can also divide 4 by 10 and 6/15. You'll always get 0.4 as your answer.

P.S. I wish you good luck with the rest of your assignment!!

Guilherme observed the number of minutes in an hour his dormmates spent on social media sites while they were at the library. He reported his data in the following table. Dormmate Number of minutes on social media Vera 131313 Timothy 000 Manueala 141414 Khaled 363636 Yash 181818 Fernanda 161616 How many dormmates spent less than 202020 minutes on social media sites?

Answers

Guilherme observed the number of minutes in an hour his dormmates spent on social media sites while they were at the library. He reported his data in the following table. Dormmate Number of minutes on social media Vera 131313 Timothy 000 Manueala 141414 Khaled 363636 Yash 181818 Fernanda 161616 How many dormmates spent less than 202020 minutes on social media sites?

Answer:

15.5

Step-by-step explanation:

First, let's add up all of the minutes on social media.

13+0+14+36+18+12=93 min

Now we need to divide the total by the number of dormmates.

93/6

15.5

A coin is flipped 200 times. The results are 102 heads and 98 tails. What is the relative frequency of getting a tail? Question 2 options: 2% 49% 51% 98%

Answers

Answer:

98/200= 49% B.

Please help me ASAP i give brainliests and thanks :)

Answers

Answer:

Positive

Step-by-step explanation:

Since there are two x-intercepts, -2 and 2, there is a positive discriminant. If the parabola was below the x axis and opened downwards, the discriminant would be negative.

Answer:

positive

Step-by-step explanation:

Which fraction has the greatest value 1/3 2/3 2/9 2/9

Answers

Answer:

2/3

Step-by-step explanation:

2/3 = 75% and that’s the highest

If the sum of the interior angles of a polygon is 1800°, how many sides does it
have?

Answers

Answer: 12

Step-by-step explanation: (s-2)(180)=1800, s-2=10, s=12

Using the formula for the sum of the interior angles of a polygon, we can determine that a polygon with an interior angle sum of 1800 degrees has 12 sides.

To determine the number of sides a polygon has based on its interior angle sum, we can use the formula for the sum of the interior angles of a polygon, which is (n - 2) times 180 degrees, where n is the number of sides of the polygon. Given that the sum of the interior angles is 1800 degrees, we can set up the equation n - 2 = 1800 / 180, which simplifies to n - 2 = 10. Solving for n gives us n = 12, so the polygon must have 12 sides.

In a company, 65% of the workers are men. If 1,155 women work for the company, how many workers are there in all?

Answers

Answer:

1,715

Step-by-step explanation:

100-65=35

x*(.65)=1,115

1,715

Hey please help with this problem I cannot get passed is Thank you.

Answers

Answer:

40

Step-by-step explanation:

Because these angles are the same, we can make an equation, 5x-5=3x+13.

2x - 18  =   2 • (x - 9)

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-9 = 0  

Add  9  to both sides of the equation :  

x = 9

Replace x with 9 in this equation,  3(9) + 13

27+13

=40

Which is the best estimate for the area of the circle shown below?

A. 66 square meters
B. 121 square meters
C. 380 square meters
D. 726 square meters

Answers

Answer:

c) 380 m²

Step-by-step explanation:

A = π·r²

= 3.14×121

= 379.94

≈ 380 m²

380 m^2
Multiply 3.14 (pie) by 121
= 379.94

Gary has (10x + 7) dollars if gary decides to buy two pairs of jeans write an expression that represents how much money gary will have left over after the purchase then simplify your expression

Answers

The expression (2x + 17) represents how much money Gary will have left over after purchasing two pairs of jeans.

To find out how much money Gary will have left over after purchasing two pairs of jeans, we need to subtract the cost of the jeans from the total amount Gary has.

Total amount Gary has = (10x + 7)

Cost of two pairs of jeans = (2(4x - 5))

Now, subtract the cost of jeans from the total amount:

Leftover money = (10x + 7) - 2(4x - 5)

Let's simplify this expression:

Leftover money} = 10x + 7 - (8x - 10)

Leftover money} = 10x + 7 - 8x + 10

Leftover money} = 2x + 17

So, the expression (2x + 17) represents how much money Gary will have left over after purchasing two pairs of jeans.

Question

Sarah is taking a test. The test is designed to produce an overall mean score of 85 with a standard deviation of 5 for all test takers.

Suppose Sarah scored a 90 on the test. Given that the data is approximately normal, standardize the test score and find the area

under the normal curve below the standardized test score

A.

The area below the standardized test score is 0.504

B.

The area below the standardized test score is 0.1587

C.

The area below the standardized test score is 1

D.

The area below the standardized test score is 0.8413

Answers

Answer:

Option D)

The area below the standardized test score is 0.8413

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 5

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

P(score is below 90)

[tex]P( x < 90) = P( z < \displaystyle\frac{90 - 85}{5}) = P(z < 1)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x < 90) =0.8413 = 84.13\%[/tex]

Thus, the correct answer is

Option D)

The area below the standardized test score is 0.8413

Which table represents a linear function?

Answers

the last one. it can be represented as the linear function y=2x+1

What number would you add to the equation below to complete the square?
x2 + 5x = 0

A. 25/4
B. 4
C. 5/2
D. 25

Answers

Answer:

A. 25/4

Step-by-step explanation:

[tex](5/2)^{2}[/tex] = 25/4


Use the table to work out the values of
a
,
b
,
c
, and
d
.

x
y
=
x
2
+
2
x

4

3

1

2
a

1
b
0

4
1

1
2
c
3
d


a
=

b
=

c
=

d
=

Answers

Final answer:

By substituting the given x-values from the table into the equation y = x² + 2x - 4, we found that a=-4, b=-5, c=4, and d=11.

Explanation:

The values of a, b, c, and d can be found by substituting the given x-values from the table into the formula y = x2 + 2x - 4.

For a, place -2 in the equation so we get y = (-2)2 + 2*(-2) - 4 = 4 - 4 - 4 = -4.

For b, place -1 in the equation, and it results y = (-1)2 + 2*(-1) - 4 = 1 - 2 - 4 = -5.

The third value, c, is computed by substituting 2 for x to obtain y = (2)2 + 2*2 - 4 = 4 + 4 - 4 = 4.

Lastly, for d, the y-value when x is equal to 3 is y = (3)2 + 2*3 - 4 = 9 + 6 - 4 = 11.

So, the solutions are a=-4, b=-5, c=4, and d=11.

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If m = 35 cm and n = 37 cm, what is the length of l?
A. 15 cm
B. 13 cm
C. 12 cm
D. 2 cm

Answers

So the right answer is 12cm.

Look at the attached picture

Hope it will help u..

Answer:

12

Step-by-step explanation:

Write an equation for the line in slope-intercept form

The slope of the line is 3. The y-intercept is (0,4)

Answers

Answer:

y - 4 = 3(x - 0)

y - 4 = 3x - 0

y = 3x + 4

Step-by-step explanation:

Which expression is equivalent to 9x + 3y

Answers

Answer:

3(3x + y)

Step-by-step explanation:

Sorry if its wrong

Estimate a 5% tip on a bill of $79.54 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

$4

Step-by-step explanation:

Answer:

Step-by-step explanation:

79.54*.005=0.3977*100=39.77 or .005*80=.40*100=40

The domain of F(x) is the set of all numbers greater than or equal to 0 and
less than or equal to 2.

A. True
B. False

Answers

Answer:

Frue

Step-by-step explanation:

Gavin is starting a running plan to train for a race. In the first week of his running plan, Gavin will run 5 miles. The plan calls for Gavin to increase his weekly milage by 3.5 miles every week. If Gavin sticks to the plan, how many miles would he be expected to run during his 11th week of the training plan? Round to the nearest tenth (if necessary).

Answers

Answer:Gavin would be expected to run during 36.5 miles during his 11th week of the training plan

Step-by-step explanation:

In the first week of his running plan,the number of miles covered = 5 miles

Weekly mileage will increase by 3.5 miles every week.

At the end of second week, the number of miles covered = 5 + 3.5 = 8.5

At the end of third week, the number of miles covered = 8.5 + 3.5 = 12

The series is 5, 8.5, 12, ...

Consider this as an AP, where a = 5, d = 3.5

By formula,  

 [tex]a_{n} = a + (n-1)d[/tex]

Substituting the values in the above equation, we get

 [tex]a_{11} = 5 + (10-1) 3.5[/tex]

= 5 +(9)3.5

= 5 + 31.5

=36.5 miles.

Gavin would be expected to run during 36.5 miles during his 11th week of the training plan

Kenny and Kylee's music players have the same capacity for music. Kenny's music player is full with 320 songs. His songs have an average length of four minutes. Kylee has fewer songs, but the average length of her songs is five minutes. Assuming both music players are at full capacity, how many songs does Kylee have?

224
200
128
256

Answers

The answer for your question is 256
Final answer:

Given that both players have the same capacity, we first calculate the total time in minutes for Kenny's music player by multiplying the number of Kenny's songs (320) by the average length per song (4 minutes). The result is 1280 minutes. We then take this number and divide by the average length of Kylee's songs (5 minutes) to find that Kylee's music player holds 256 songs.

Explanation:

In this problem, we are given that Kenny and Kylee's music players have the same capacity, but Kylee's songs are longer on average. We are asked to find out how many songs Kylee has on her player assuming it is at full capacity. To do this correctly, we first need to understand that we're dealing with an issue of equal music player capacities, but the time a song occupies on each player is different.

Let's calculate the total capacity of the music player in minutes, we multiply the number of Kenny's songs (320) by the average length of each song (4 minutes), giving us 1280 minutes.

Because both players have the same capacity, Kylee's player can also hold 1280 minutes of music. However, since Kylee's songs are longer on average (5 minutes each), she will have fewer songs on her player. So, dividing the total capacity in minutes (1280) by the length of Kylee's songs (5 minutes) gives us 256 songs. That is the number of songs on Kylee's music player.

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How do you graph the equation f(x)=2•3x

Answers

Answer:

Step-by-step explanation:

slope=6

y-int=0

just plot this on a graph

Slope is 6 yerrrrrrrrr rrrrr

Suppose ABCD is a rhombus such that the angle bisector of ∠ABD meets

AD at point K. Prove that m∠AKB = 3m∠ABK. Help meee!! What do I put in the box shown below??

Answers

Answer:

Step-by-step explanation:

As we know that:

BK is bisector of ∠ABD

=> ∠ABK=∠KBD=x

=> ∠ABD=2x

Now AB=AD, two sides of rhombus ABCD

=> ∠KDB=∠ABD=2x

∠AKB being exterior angle of ΔKBD, we have:

∠AKB=∠KDB+∠KBD=2x+x=3x

Please have a look at the attached photo

Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?

Answers

Answer:

Nina is 25, Sam is 15

Step-by-step explanation:

5 years ago, Nina was 2S, and Sam was S.

In 5 years, she will be 1.5S and Sam is S.

In a span of 10 years, she will be 0.5S less.

20, 10 5 years ago

Currently, 25 and 15 years.

30 and 20 years in 5 years.

20*1.5=30

By solving from an expression Nina is currently 25 years old and Sam is currently 15 years old.

What is an expression?

In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value. Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.

Let's start by assigning variables to their current ages. Let N be Nina's current age and S be Sam's current age.

We know from the first sentence that 5 years ago, Nina was twice as old as Sam. So we can set up an equation based on that:

N - 5 = 2(S - 5)

Expanding the right side:

N - 5 = 2S - 10

N = 2S - 5

Now we can use the second sentence, which tells us that in 5 years Nina will be 1.5 times as old as Sam.

N + 5 = 1.5(S + 5)

Expanding the right side:

N + 5 = 1.5S + 7.5

N = 1.5S + 2.5

We have two equations, one for N in terms of S and one for N in terms of S. We can set them equal to each other:

2S - 5 = 1.5S + 2.5

Solving for S:

0.5S = 7.5

S = 15

So Sam is currently 15 years old. We can use either equation to find Nina's age:

N = 2S - 5

N = 2(15) - 5

N = 25

So Nina is currently 25 years old.

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The graph below represents the path of a grasshopper as it jumps which type of function models the data on the graph

Answers

Answer:

Quadratic

Step-by-step explanation:

Given function is a quadratic function.

There are many key features in a quadratic graph such as the zeroes (x-intercepts, also known as the roots), y-intercept, axis of symmetry, and the vertex.

The graph of a quadratic function is a parabola, which has several important properties:

Vertex: The vertex is the point where the parabola changes direction. It is the highest or lowest point on the parabola, depending on whether the parabola opens upward or downward, respectively.

Axis of symmetry: The axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. It passes through the vertex and is perpendicular to the directrix.

Directrix: The directrix is a horizontal line that is located at a distance equal to the distance between the vertex and the focus. It is perpendicular to the axis of symmetry and reflects the parabola onto itself.

Focus: The focus is a point on the axis of symmetry that is located at a distance equal.

As we can see that given graph has two roots and it is symmetric to the line parallel to the y-axis.

From the graph we know this is a quadratic function { a parabola with respect to symmetry and axis symmetry}

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Circle A: center (2, 3) and radius 5. Circle B: center (-1, 4) and radius 10. Which of the
following is the necessary transformation (translation; dilation) from B to A to prove
that the two circles are similar?

Answers

Answer:

see explanation

Step-by-step explanation:

The centre of circle B requires to be coincident with centre of circle A

(- 1, 4 ) → (2, 3 )

That is a translation of < 3, - 1 >

This ensures that the circles are concentric ( have the same centre )

radius of B is 10 and radius of A is 5, thus

dilatation = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

To make Kool-Aid, the ratio of cups of water to cups of powder is 8 to 2. If I use
12 cups of water, how many cups of powder do I need? *

Answers

Answer:

3 cups of powder

Step-by-step explanation:

8/2 divided by 2=

4/1

4/1 x 3= 12/3

the 12 represents the water and the 3 represents the powder

Answer: 3 cups of powder

Step-by-step explanation

8    12.  first you cross multiply so the equation would be 8x = 24

2     X.   The you do division to get the answe for x                 X = 3

x represents the amount of powder that is needed so you just replace x for cups of powder! And done!

Please help me with the following question.

Answers

I am pretty sure x is 9 because if you divide 14 by 2 you get 7. 18 divided by 2 is 9.

Answer:

x=9

Step-by-step explanation:

the word similar means the same shape but different sizes. That means that you can think of this problem as ratios. The ratio for the first triangle would be 14:14:18. Since the second ones ratio is 7:7:x we know that the seven was found by dividing 14 by two so we do that with the rest of the of the number to find x you divide 18 by two and get 9. So x=9.

Jeremy can stand on one leg for 3.8 minutes. Express that time in seconds.

Answers

Answer:

He can stand on one leg for 228 seconds.

Step-by-step explanation:

You multiply the 3.8 seconds by 60.

So, 3.8 * 60 = 228

Hope this helps :)

1 min = 60sec
So just multiply your 3.8 by 60
Answer is 228
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