Find the measure of the indicated angle to the nearest degree.

Find The Measure Of The Indicated Angle To The Nearest Degree.

Answers

Answer 1

Answer:

24.315°

Step-by-step explanation:

First use the pythagorean theorem to get the missing side since this is a right triangle.

a^2 + b^2 = c^2 →

b^2 = c^2 – a^2 →

b = (c^2 – a^2)^½

b = (17^2 – 7^2)^½

b = (289 – 49)^½

b = √240.

Then use the law of cosines to find the angle in between.

b^2 = a^2 + c^2 - 2ac * cos(B) →

b^2 - a^2 - c^2 = -2ac * cos(B) →

a^2 + c^2 – b^2 / 2ac = cos(B) →

cos^-1(a^2 + c ^2 – b^2 / 2ac) = C →

B = cos^-1(a^2 + c ^2 – b^2 / 2ac)

B = cos^-1(49 + 289 – √240 / 238)

B ≈ 75.685°.

A = 180 – B

A = 180 – 75.685

A = 24.315°


Related Questions

How long does it take the wave to travel 6.0 m in the x-direction? 0.13 seconds 0.67 seconds 2.0 seconds 8.0 seconds

Answers

It takes the time for the wave to travel 6.0 m in the x-direction of 8s.

What is the wavelength?

A wave's wavelength is measured in meters since it is the separation between its two peaks (or troughs). Since waves can be any size or shape, the prefix for meters can vary significantly, from km for radio waves to micrometers for visible light (although it is sometimes stated in nanometers) to picometers for gamma rays..

According to the information:

the wavelength is 1.5 m.

λ/2 = 1 s

1.5/2 =1 s

0.75 m in 1 s is travelled  by the wave.

To travel 6m , the time required is

= 6/0.75

=8s

Thus,

it takes the time for the wave to travel 6.0 m in the x-direction is 8s.

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what is the answer for 82= $14.00​

Answers

Answer:

There is no answer

Step-by-step explanation:

82 can not equal $14.00, however if you mean 82x=14.00, the answer will be 0.17 (7/41), and if you mean 82=14x, the answer will be 5.86 (41/7)

There are 61 boxes of pencils in a store there are 14 pencils in each box how many pencils are in the store

Answers

There is 854 pencils in the store

One number chosen randomly from the integers 1 to 20. Find the probability of getting a number that is odd and prime.

Answers

Answer:

35%

Step-by-step explanation:

All the prime numbers from 1 to 20 are:

2 3 5 7 11 13 17 19

7 / 20 = 35 / 100 = 35%

Mr Lim had a bag of sweets. After giving each pupil 7 sweets, he had 4 sweets left. If he had given only 5 sweets to each pupil, he would have 4 sweets left. If he had given only 5 sweets to each pupil, he would have 80 sweets left.
i.How many pupils were there in the class?
ii. How many sweets did Mr Lim have?

Answers

Solving a system of equations we can see that there are 270 sweets and 38 pupils.

How many pupils and sweets are there?

Let's define the variables:

P = number of pupils.

S= number of sweets.

With the given information, we can write:

7*P + 4 = S

5*P  + 80 = S

So we have a system of equations, now we can write:

7*P + 4 = S = 5*P  + 80

Solving that for P:

7*P + 4 = 5*P + 80

7*P - 5*P = 80 - 4

2*P = 76

P = 76/2 = 38

There are 38 pupils, and the number of sweets is given by:

S = 7*P + 4 = 7*38 + 4 = 270

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Please helppp!! i will hand brainlist and 19 points aswell thank you :)

Answers

I am not sure but when I calculated answer is √52...........

Answer:

[tex]\sqrt{52}[/tex]

Step-by-step explanation:

You would use the Pythagorean Thereon to find the answer.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]  You can You can draw a right triangle from the two points.  One way you could do this is draw a line straight down from N and stop when you get down to N'.  Then continue drawing the line horizontally until it gets to N'.  Connect N' to N and will have drawn a right triangle.

The vertical height of your triangle would be the difference of you y values and the horizontal distance would be the difference between your x values.

9 - 3 = 6

6 - 2 = 4

[tex]6^{2}[/tex] + [tex]4^{2}[/tex] =[tex]c^{2}[/tex]

36 + 16 = [tex]c^{2}[/tex]

52 = [tex]c^{2}[/tex]

[tex]\sqrt{52}[/tex] = c

two less than y is subtracted from x​

Answers

Answer: x- (y-2)

Step-by-step explanation:

Two less than y would be y-2,

Then you just subtract it from x

A six-sided die is rolled. What is the probability of rolling a four or an odd number?

Answers

Answer:

2/3 or 66%

Step-by-step explanation:

there are 3 odd numbers on a 6 sided die

3 + 1 = 4

4/6 = 2/3

Which equation represents a population of 370 animals that decreases at an annual rate of 11% ?

Answers

The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].

What is an exponential function?

It is defined as the function that rapidly decreases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1.

Given that,

A population of 370 animals that decreases at an annual rate of 11%

a = 370, r = 11%

p = [tex]a(1-r)^{t}[/tex]

 =  [tex]370(1-0.11)^{t}[/tex]

p  =  [tex]370(0.89)^{t}[/tex]

Hence, The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].

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Pls help I keep getting this wrong

Answers

Answer:

x = 8

y = -3

Step-by-step explanation:

Multiply the first equation with (-2)

(-2) * (x - 4y) = 20

-2x + 8y = -40 now find the sum of it with second equation

2x + 5y - 2x + 8y = 1 - 40 add like terms (2x will eliminate -2x)

13y = -39 divide both sides by 13

y = -3

Now we can use this to find the value of x

x - 4y = 20 rewrite the equation using the value we found for y

x - 4(-3) = 20 multiply (-4) and (*3) (product will be positive because we are multiplying two negatives)

x + 12 = 20 subtract 12 from both sides

x = 8

If the graph of f(x)=x2, how will the graph be affected if it is changed to f(x)=3x2?

Answers

There will be a vertical stretch with a factor of 3.

Which equation represents the explicit formula for a constant velocity arithmetic sequence?

A. xₙ = x₁+(n-1)(v•△t)
B. xₙ = x₁+(n+1)(v/△t)
C. xₙ = x₁+(n+1)(v•△t)
D. xₙ = x₁+(n-1)(v/△t)

Answers

The equation which represents the explicit formula for a constant velocity arithmetic sequence is; Choice A; xₙ = x₁+(n-1)(v•△t).

Which equation among the answer choices represents the explicit formula for a constant velocity arithmetic sequence?

It follows from convention that an arithmetic sequence is usually defined by an expression of the form;

T(n) = T(1) + (n-1)×d in which case, d = common difference.

Consequently, in the event that the velocity in discuss is constant, it follows that the required expression is; Choice A; xₙ = x₁+(n-1)(v•△t).

Therefore, xₙ = x₁+(n-1)(v•△t) represent the equation for explicit formula for a constant velocity arithmetic sequence.

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how many rectangles of different sizes can be formed from 36 identical rectangles

Answers

Answer:

i think answer is 5

Step-by-step explanation:

since you could think what are factors of 36
1x36
2x18
3x12
4x9 and
6x6

SinA=√1-x÷√1+X
Find the value of cosA

Answers

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Trigonometric ratios

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = [tex]\sqrt{1} - x[/tex]

Hypotenuse = [tex]\sqrt{1} + x[/tex]

Let's find the adjacent side using the Pythagorean theroem

[tex](\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2[/tex]

[tex]1 + x^2 = 1 - x^2 + x^2[/tex]

[tex]x = \sqrt{\frac{1 + x^2}{1 -x^2} }[/tex]

cos A = x/hypotenuse

[tex]cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}[/tex]

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

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what is coefficient of x in 5x-3y​

Answers

Answer:

Hey there!

Step-by-step explanation:

This is ur answer...

The coefficient of 5x-3y is 5.

Hope it helps!

Brainliest pls!

Have a good day!^^

❄ Hi there,

the coefficient of a variable is a number multiplied by that variable; it can be any real number.

∴,

[tex]\hfill\stackrel{\textbf{coefficient of x}}{5}[/tex]

[tex]\hfill\stackrel{\textbf{coefficient of y}} {-3}[/tex]

That's it.                              

❄                                                                                                   [tex]\small\pmb{Frozen \ melody}[/tex]

what is the equation of a line that has a slope of .8 and passes through the point (-3,1)

Answers

Answer:

y = 0.8x + 3.4

Step-by-step explanation:

Substituting into point-slope form and converting to slope-intercept form,

[tex]y-1=0.8(x+3) \\ \\ y-1=0.8x+2.4 \\ \\ y=0.8x+3.4[/tex]

Question 2 of 10 Based only on the information given in the diagram, it is guaranteed that PQR~ STU.
A. True B. False
please!? thanks!​

Answers

The given statement is false because the triangles may not be identical if their corresponding angles are genuinely different.

What is the triangle?Three sides, three vertices, and three angles make up a triangle. A triangle's three interior angles are always added up to 180 degrees. A triangle's two longest sides are always longer than its third side. A triangle with the vertices P, Q, and R symbol is  △PQR.

Based only on the information given in the diagram, it is guaranteed that PQR~ STU:

Two right triangles, ΔPQR and  ΔSTU—are shown in the illustration with their right angles at ∠P and ∠S, respectively.

It is also demonstrated that TU = 12 units and QR = 6 units.

Because we only provided one set of congruent angles, we are unable to apply the A postulate of similarity to it.

Additionally, since there is only one pair of comparable sides, we are unable to determine whether they are proportionate.

The statement "based purely on the information presented in the diagram, it is assumed that triangle PQR triangle STU" is False because the triangles may not be identical if their corresponding angles are genuinely different.

Hence, The given statement is false.

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A binomial distribution has a mean of = 12 for a sample of n = 60. what is the value of p?

Answers

Value of p is 0.5.

Given

Mean of a binomial distribution np = 12

Sample n = 60

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

To calculate the mean of a binomial distribution B(n, p) we need to multiply the number of trials n by the probability of successes p,

mean = n × p .

Value of p:

np = 12

(60) p = 12

p = 12/60

p = 1/2

p = 0.5

Value of p is 0.5.

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Quick algebra 1 question for 10 points!


Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Answer:

B) x-intercept: (6, 0)

   y-intercept: (0, 7)

Step-by-step explanation:

Given equation: [tex]7x + 6y = 42[/tex]

What are the x- and y-intercepts?

The x-intercept is the point where the line intersects the x-axis. In short, it is when y = 0 — [tex](x, y) \Rightarrow (x, 0)[/tex]. The y-intercept is where the line intersects the y-axis, which is when x = 0 — [tex](x, y) \Rightarrow (0, y)[/tex].

Find the x-intercept (by substituting 0 for y):

[tex]\\\implies 7x + 6y = 42\\\\\implies 7x + 6(0) = 42\\\\\implies 7x = 42\\\\\implies \dfrac{7x}{7}=\dfrac{42}{7}\\\\\implies \boxed{x=6}[/tex]

Coordinate: [tex](6, 0)[/tex]

Find the y-intercept (by substituting 0 for x):

[tex]\\\implies 7x + 6y = 42\\\\\implies 7(0) + 6y = 42\\\\\implies 6y = 42\\\\\implies \dfrac{6y}{6}=\dfrac{42}{6}\\\\\implies \boxed{y=7}[/tex]

Coordinate: [tex](0, 7)[/tex]

Triangle ABC is rotated to create the image A'B'C'.
Which rule describes the transformation?
Ty
O (x, y) - (x, -
O (x, y) - (v, x)
O (x, y) - (-x, -y)
B'AL
O (x, y) - (-Y, -x)

Answers

Answer-

Step-by-step explanation:

9 m
Not drawn to scale
Find the volume of the triangular prism.
6 m
6m

Answers

Answer:

162 m³

Step-by-step explanation:

Volume of the prism is the product of the area of the base and the height of prism.

First, we need to find the area of its triangular base:

A = bh/2 = 9*6/2 = 27 m²

Now we can find the volume:

V = 27*6 = 162 m³

Area of base

1/2BH1/2(9)(6)9(3)27m²

Volume

Area of base×Height27(6)162m³

Find the area of the shaded region

Answers

Step-by-step explanation:

Since the circle is inside the square, we can subtract its area from the squares area.

the squares area can be found by multiplying the height and width

[tex]8^2=64[/tex]

now to find the area of the circle we use

[tex]A=\pi r^2[/tex]

the radius is 4.

assuming pi=3.14

your answer is 50.24.

Three Algebra 1 students are comparing how fast their social media posts have spread. Their results are shown in the following table:

Student

Amber

Ben

Carter

Description

Amber shared her photo with 3 people. They continued to share it, so the number of shares increases every day, as shown by the function.

Ben shared his post with 2 friends. Each of those friends shares with 3 more every day, so the number of shares triples every day.

Carter shared his post with 10 friends, who each share with only 2 people each day.


Social Media Post Shares

f(x) = 3(4)x


Day
0
1
2
number of shares
2
6
18


Write an exponential function to represent the spread of Carter's social media post.

Answers

The exponential model that best represents the data is f(x) = 2(3)x

Exponential equation

Exponential equations are inverse of logarithmic equation. Exponential equations are written in the form y = ab^x

where

a is the base

x is the exponent

Using the coordinate points (0, 2) and (1, 6)

Substitute

2 = ab^0
6 = ab

Take the ratio
6/2 = ab/a
3 = b

Determine the value of 'a"

Recall that

6 = ab

6 = 3a

Divide both sides by 3

3a/3 = 6/3

a = 2

Hence the exponential model that best represents the data is f(x) = 2(3)x

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Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answers

Answer: y ≥ [tex]\frac{3}{2}[/tex]x + 3

Step-by-step explanation:

       Since the shaded area is above the line, we will use either > or ≥ for our inequality.

       Next, since this is a solid line we will use the ≥ symbol for our inequality. This means the answer is the first option.

Pls help with middle school math (2 questions in photo)

Answers

Question 8

Part (a)

The gradient is the coefficient of x after isolating y.

[tex]3x+y=15 \\ \\ y=\boxed{-3}x+15 [/tex]

Part (b)

The line crosses the y-axis when x=0. So, the line crosses tne y-axis at (0,15).

By similar logic, the answers to Question 9 are:

(a) -3

(b) (0, -4.5)

I do not understand the question

Answers

Answer: D. 5 choose 3

Step-by-step explanation:

The 'C' stands for Choose

and you read left to right, leaving you with "5 choose 3"

Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). 16x3 − 50x2 − 23x − 30 16x3 − 50x2 − 23x 30 16x3 − 30x2 − 23x 30 16x3 50x2 − 23x 30

Answers

The correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.

To find the correct simplification of the given expression:

The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.The squared term will be the sum of the products of factors whose degrees total 2:[tex](8x)(-5x)+(-5)(2x^{2} )=-40x^{2} -10x^{2} =-50x^{2} =16x^{3} -50x^{2} -23x+30[/tex]

Therefore, the correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)

(A) 16x3 − 50x2 − 23x − 30

(B) 16x3 − 50x2 − 23x + 30

(C) 16x3 − 30x2 − 23x + 30

(D) 16x3 + 50x2 − 23x + 30

Find the volume of the triangular prism below if B = 12 cm, h = 8 cm, and L = 27 cm.

Answers

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

[tex]\mathsf{Formula \rightarrow \dfrac{1}{2} \times \bold{b}ase\times\bold{h}eight\times \bold{l}ength}[/tex]

[tex]\mathsf{Your\ equation\ should\ look\ like\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]

[tex]\mathsf{Solving\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]

[tex]\mathsf{ \dfrac{1}{2}\times12\times8\times27}[/tex]

[tex]\mathsf{= \dfrac{1}{2}\times\dfrac{12}{1}\times\dfrac{8}{1}\times\dfrac{27}{1}}[/tex]

[tex]\mathsf{= \dfrac{1\times12\times8\times27}{2\times1\times1\times1}}[/tex]

[tex]\mathsf{= \dfrac{12\times8\times27}{2\times1\times1}}[/tex]

[tex]\mathsf{= \dfrac{96\times27}{2\times1}}[/tex]

[tex]\mathsf{= \dfrac{2,592}{2}}[/tex]

[tex]\mathsf{= 2.592\div2}[/tex]

[tex]\mathsf{= 1,296}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ C.\ }\frak{1,296\ cm^3}}\huge\checkmark[/tex]

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

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

How do you solve this geometry question?

Answers

The statement that <A > <C and <B > <D has been proved

How to prove that <A > <C and <B > <D?

In geometry, the side length opposite the largest angle is the longest side.

Similarly, the side length opposite the smallest angle is the shortest side.

From the given figure of quadrilateral, we have the following sides in increasing order:

Side length ABSide length BCSide length ADSide length CD

The angles opposite the side lengths are:

Angle DAngle BAngle CAngle A

This means that:

<A > <C and <B > <D

Hence, the statement that <A > <C and <B > <D has been proved

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18
An open-faced box is to be constructed by cutting squares out of the corners of a 7in by 7in
sheet of tin and folding up the sides. Which of the following describes the surface area of such
a box? (Let h represent the side length of the cut out squares. * (5 Points)
O The surface area of the box is given by (7 - 2h)² + 4h (7-2h) in².
The surface area of the box is given by 2(7 - 2h)² + 4h² in².
O The surface area of the box is given by h(7 - 2h)² in².
O The surface area of the box is given by 4(7-2h)² + h² in².
O I don't know.

Answers

Answer:

a

Step-by-step explanation:

S.A for open-faced box= lb + 2(bh+lh)

= (7-2h)(7-2h) + 2[h(7-2h)+h(7-2h)]

= (7-2h)² + 2[2h(7-2h)]

= (7-2h)² + 4h(7-2h) in²

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A town is mapped on a coordinate grid. The library is located at point (-3, 9) and the museum is located atpoint (8, 2).Where is the midpoint of the line segment whose endpoints are the library and the museum?O (-5.5, 5.5)O (-5.5, 3.5)O (2.5, 3.5)O (2.5, 5.5) When demand for component parts is tied to demand for the finished part, we have ___ demand. In colonial America, reaching an older age was viewed ________.as a significant accomplishmentas an unusual and repulsive processas something to be avoidedwith indifference What is the change in enthalpy at 25c and 1 atm for the production of 3. 00 mol sn(s)? sn(s) sno2(s) 2sno(s); h = 16. 2 kj An essay on my house in French we must help them, change into passive voice The categorical imperative is a concept in kantian deontology that fulfills the role of a(n) __________ that is binding for all people in all circumstances Select the most appropriate linking word that would start the next paragraph.The Russell Trust has said that a record number of food parcels were handed out locally in Christchurch. Over the last three months, the charity handed out 2,678 emergency three-day packages at food banks across the county 30 per cent of them to children. , in other better news, child poverty statistics are showing a slight decline, with fewer than 12 percent of youngsters in the UK now growing up on the breadline What kind of relationship did the Soviet Union have with the United States in19457OA. They were fighting against each other.OB. The Soviet Union had just surrendered to the United StatesOC. The United States had just surrendered to the Soviet UnionD. They were working together against the Nazis What is the first term of the product of ( 4x 2 x ) ( 6x 3 x 4 + 3x ) when it is written in standard form? In order to attract members, most interest groups appeal to potential members not only by advertising their political goals but also by:____. Stress can be viewed primarily as dependent on external stimuli , or it can be viewed primarily as our psychological response to these threats. The Holmes and Rabe Social Readjustment Rating Scale ranks 43 life changing events and by doing primarily supportsThe perspective that stress is due to external stimuliThe perspective that stress is due to our psychological response to external stimuliNeither perspectiveBoth perspectives The payments received from a bond can be used to determine a bond's theoretical market price by:______. If A = 6 - 8, B = 8 + 3andC = 26 + 19. Find a and b Such that a +bB + C = 0 For the following questions state the oxidation number of the element in the given compound.1. sul fur in Li2SO#32. chlorine in MgCl23.Silicon in SiO24.sul fur in H2SO45.Sulfur in SO4^2-6. manganese in MnO4^-7. Cr in Cr2O7^2- y=6x+212x 2y=4How many solutions does this linear system have? A skater can spin faster by pulling her arms closer to her body or spin slower by spreading her arms out from her body. This is due to. Explain how cultural diversity affects business communication and describe the steps you can take to communicate more effectively across cultural boundaries. How much heat is added if .1915g of water increases in temperature by .592 degrees C Heightened concern with fitness might be a threat to some companies and an opportunity to others. In the SWOT framework, these are ________ environmental factors.