Solve for a side in right triangles

Really need help with this one!!

Solve For A Side In Right TrianglesReally Need Help With This One!!

Answers

Answer 1

The value of side AC is AC = 3.

What is right triangle?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.

The given triangle  ΔABC is a right angled triangle.

So, to find the side AC we can use the cosine ratio,

[tex]cosB = \frac{Adjacent side}{Hypotenuse}\\ cos65 = \frac{AC}{AB} \\cos65 = \frac{AC}{7} \\AC = 7(c0s(65)\\AC = 7(0.4226)\\AC = 2.9583[/tex]

AC ≈ 3.

Hence, the length of side AC is 3.

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Related Questions

How do I know where to shade on this graph?

Answers

y≤-3x+4 has lesser than or equal to symbol so we shade the below line.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Relationship between two expressions or values that are not equal to each other is called 'inequality.

y≤-3x+4 is the given inequality.

The sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

In the inequality we have lesser than or equal to symbol so we shade the below line.

Hence, y≤-3x+4 has lesser than or equal to symbol so we shade the below line.

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Solve for w.
63 =
3
Simplify your answer as much as possible.
W =

Answers

Answer:

That doesn't even make any sense you can't simplify or solve for anything if there isn't the right equation???????

Step-by-step explanation:

21 i am pretty sure. if that’s what it is asking. 63 = 3 means something needs to get it down to 3. the only way you can do that is to divide. so 63 divided by 3 is 21. the answer is 21. w=21

yesterday, Austin burned 199 calories while exercising. Today, he burned 1008.8 calories. How many more calories did Austin burn today than yesterday?​

Answers

Answer: Austin burn 809.8 more calories today than yesterday.

Quadrilateral EFGH is similar to quadrilateral IJKL. Find KL. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
59
H
13
E
27
F
G
I
L
X
K

Answers

Answer:

x=81

steps

From the concept of similarity

3EH = ILhence, 3HG = KL3(27) = KLKL = 81

f(x)=x²-5x - 9
Find f(-9)

Answers

Answer:

117

Step-by-step explanation:

f(-9)=-9^2-5(-9)-9

f(-9)=81+45-9

f(-9)=126-9

f(-9)=117

hopes this helps please mark brainliest

Thank you for those answering!
In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

Answers

X=75, It’s been a while since I have done these type of questions

PLEASE HELP!

3. In a survey of 1000 eligible voters selected at random, it was found that 8% had a college degree. Additionally it was found that 80% of those who had a college degree voted in the last presidential election. Whereas 55% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random voted. Draw a diagram to represent this situation.




a) If you randomly chose an eligible voter from this group, what is that probability that they have a degree and did not vote?





b) If you randomly chose an eligible voter from this group, what is the probability that they voted?




c) If you randomly chose a person who voted in the presidential election, what is the probability that they had a college degree?​

Answers

hello, i'm sorry but i can't graph the diagram but here are the answers for a-c :)

A. 8%

B. 39.6%

C. 58.4%

step by step:

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

30 POINTS AND BRAINIEST PLEASE HELP ASAP!!!!
Part A: Given the function g(x) = |x − 5|, describe the graph of the function, including the vertex, domain, and range. (5 points)

Part B: If the parent function f(x) = |x| is transformed to h(x) = |x| + 3, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?

Answers

Answer:

Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)

Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2

What is the amount of M

Answers

42 is value of ∠JNM because ∠JNM & ∠KNL are vertically opposite angles.

What is vertically opposite angles?

Angles that are opposite one another at a certain vertex and are produced by two straight lines intersecting are known as vertically opposite angles. Angles that are vertically opposed are equal to one another. These are also known as vertical angles.

∠JNM = ∠KNL

4x + 6 = 7x - 21

7x - 4x = 21 + 6

   3x = 27

   x = 27/3

   x = 9

∠JNM = 4 * 9 + 6 = 36 + 6

∠JNM =  42

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Mr. Jones' age is 4 years more than 5 times Maggie's age. If the sum of their ages is no more than 70, how old is Maggie? Write and solve an inequality to find Maggie's age. Use the 3-4 steps. Use m as your variable

Answers

Maggie's age is less than or equal to 11, m ≤ 11

What is an inequality?

An inequality can simply be described as a relation that makes an unequal comparison between two objects, numbers, elements or mathematical expressions.

It is used to compare numbers on the number line on the basis of their sizes

From the information given, we have that;

Mr Jones' age = 5m + 4Maggie's age = mThe sum of their ages is less than or equal to 70

Let's substitute the values

5m + 4 + m ≤ 70

Now, let's collect like terms

6m ≤ 70 - 4

Subtract like terms

6m ≤ 66

Make 'x' the subject of formula by dividing both sides by its coefficient

m ≤ 66/ 6

m ≤ 11

Hence, the value is m ≤ 11

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there are more than 200 pages but fewer than 800 in my book. all thre digits of my number are the same. the number is divisible by 9. how many pages sre in my book

Answers

Answer:777

Step-by-step explanation: I do not care

There are 333 pages are in my book.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are more than 200 pages but fewer than 800 in my book.

And, All the digits of my number are the same and the number is divisible by 9.

Now,

Let a number with three same digit = xxx

So, We get;

200 < xxx < 800

Since, the number is divisible by 9.

So, By the rule of the number divide by 9, we get;

x + x + x = 9k

3x = 9k

for k = 1;

x = 3

Thus, Number of pages = 333

Therefore,  

There are 333 pages are in my book.

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Find the measure of the angle indicated by 11x + 1.
10x+10
11x +1

Answers

The measure of angle 11x+1 is 100°.

According to the question,

We have the following information:

We have a figure where two parallel lines are divided by a line. We know that the vertically opposite angles are equal. And when two parallel lines are cut by another line then the alternate interior opposite angles are equal.

Now, we have 10x+10 as the alternate opposite interior angle to 11x+1.

So, we have the following expression:

10x+10 = 11x+1

11x-10x = 10-1

x = 9

Putting the value of x in 11x+1:

11*9+1

99+1

100°

Hence, the measure of angle 11x+1 is 100°.

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Why are the tops of mountains round and the soil often rough, rocky, and thin in many places in the Northeast?

The early settlers abused and overused the land.
Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.
The Indian population purposely destroyed the countryside when they discovered the white settlers would not leave.
During the past three centuries, the urban dwellers in the area have appropriated the fine soil for the cities. what is 4+2

Answers

Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

Given,

In the question:

Why are the tops of mountains round and the soil often rough, rocky, and thin in many places in the Northeast?

Now, According to the question:

The correct answer is:

Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

Other question is

4 + 2

By addition:

4 + 2 = 6

Hence, Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

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Answer:

Glaciers scoured the landscape, grinding the high places and mixing the soil with rocks.

Step-by-step explanation:

What is the slope of the line below?

Answers

Answer:

1/2

Step-by-step explanation:

if you take the (2,2) and make it (6,10), you add 4 to the x and 8 to the y. putting this as rise over run (x/y) it comes out to four eighths (4/8). reducing that comes out to one half (4/8).

is y=10.5x-5 proportional

Answers

The equation y = 10.5x - 5 is proportional

Given,

y = 10.5x - 5

We have to find this equation is proportional or not.

In mathematics, proportional relationships exist when two variables consistently change by the same multiple. The formula y = kx, where k is a constant multiplier that depicts the relationship between x and y, is used to represent proportional relationships. The line on the graph is always straight and goes through (0,0).

Here,

y = 10.5x - 5

10.5 is the constant multiplier that depicts the relationship between x and y.

So,

The equation y = 10.5x - 5 is proportional

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help me pleaseeeeeeeeeeeeeeeeee !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:  love

Step-by-step explanation:  love

A box contains 3 red marbles and 4 black marbles. You simultaneously draw 3 marbles. What is the probability
that at least one marble is black?
A.4/35
B.34/35
C.19/21
D.None of the above

Answers

Answer:

Probably b or c. Not great with probabilities.

determined whether the graph on the right is that of a function by using the vertical-line test. If it is, use the graph to find the following. the domain and range Does the graph represent a function? Choose the correct answer below A No because no horizontal line can intersect the graph in more than one point No because no vertical line can intersect the graph in at most one point. OC Yes, because every vertical line can intersect the graph in more than one point OD. Yes, because every vertical line can intersect the graph in at most one point DE Yes because every horizontal line can intersect the graph in at most one point OF No. because no horntal line can intersect the graph in at most one point. OG Yes, because every horizontal line can intersect the graph in more than one point. 04. No, because no vertical time can intersect the graph in more than one point. ​

Answers

x - intercept is at ( 1, 0 ) graph intersect at x = 1 .

What are intercepts?

The x-intercept and y-intercept are the points at which a line crosses the x- and y-axes, respectively.An intercept is the location of the intersection of two axes in a graph. The term "x-intercept" specifically refers to this one.The x-axis and y-axis are intersected by two intercepts, P(2,0) and Q(0,3), respectively. => 3x + 2y – 6 = 0, Consequently, the line's equation is 3x + 2y - 6 = 0.

Domain - values of x on  x -axis taken by function

                - ( 0,5 )

Range = values of y on  y -axis taken by function

          = (-  ∞ , 2 )

           = ( as, x ⇒ 0 then graph goes below

b) x - intercept is at ( 1, 0 ) graph intersect at x = 1

          no y - intercept is there .

c) graph is not symmetric .

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Order the following from least to greatest -0.2, 4.22,2.02,-3/10, 4 1/8 ​

Answers

The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2,  2.02, 4.22, 4 1/8

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PLEASE HELP FAST!!!! ILL GIVE BRAINLIEST!!!!

Which statement correctly compares the function shown on this graph with the function y = 4x - 8?

A. The function shown on the graph has a greater rate of change but
a lower y-intercept.

B. The function shown on the graph has a smaller rate of change but
a higher y-intercept.

C. The function shown on the graph has a greater rate of change and
a higher y-intercept.

D. The function shown on the graph has a smaller rate of change and
a lower y-intercept.

Answers

I think The answer to your question is c

does this equal to 10 or 5 abit confused I’ll brainlist .

Answers

Correct Answer:
x = 5

Explanation:
3x + 5 = 2x + 10
3x + 5 - 5 = 2x +10 - 5
3x = 2x + 5
3x - 2x = 2x - 2x + 5
x = 5

How to subtract 27 minus 9.9 using mental math

Answers

Answer: you are left with 17.1 or 17.10

HOW TO:  picture this. i'ma going to go to your store and you have 27 dollars. you owe me 9.90 for some reason. you give me the money and i go on my way. how much money are you left with?

Which ordered pairs make both inequalities true? Select two options.

y < 5x + 2

y > One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)

(0, 2)
(1, 2)
(2, –1)
(2, 2)

Answers

An ordered pair which makes both inequalities true is: C. (1, 2).

How to determine the true ordered pairs?

In this exercise, we would test each of the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-1, 3), we have:

y < 5x + 2

3 < 5(-1) + 2

3 < -5 + 2

3 < -3 (False).

For ordered pair (0, 2), we have:

y < 5x + 2

2 < 5(0) + 2

2 < 0 + 2

2 < 2 (False).

For ordered pair (1, 2), we have:

y < 5x + 2

2 < 5(1) + 2

2 < 5 + 2

2 < 7 (True).

y > x/2 + 1

2 > 1/2 + 1

2 > 3/2 (True)

For ordered pair (2, -1), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

-1 > 2/2 + 1

-1 > 2 (False)

For ordered pair (2, 2), we have:

y < 5x + 2

-1 < 5(2) + 2

-1 < 10 + 2

-1 < 12 (True).

y > x/2 + 1

2 > 2/2 + 1

2 > 2 (False)

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Answer:

B , C

Step-by-step explanation:

Which ordered pairs make both inequalities true? Select two options.

y < 5x + 2

y > One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.  

(–1, 3)

(0, 2)  

(1, 2)

(2, –1)

(2, 2)                                                                                          Edge  2022

Kenneth has entered a check payment of $350.25 in his checkbook. If the old balance was $545.95, what is his latest balance?
A.
$896.25
B.
$195.70
C.
$195

Answers

Answer: $195.70

Step-by-step explanation:

Calculus Ladder Sliding Down

Answers

Answer:

[tex]\left.\dfrac{\text{d}x}{\text{d}t}\right|_{h=2}\approx0.184\; \sf m/s[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Given variables:

a = length of the ladder.h = height of the ladder's top at time t.x = distance of the ladder from the wall at time t.

Given a = 8.9, use Pythagoras Theorem to create an equation for x² in terms of h²:

[tex]\implies x^2+h^2=a^2[/tex]

[tex]\implies x^2+h^2=8.9^2[/tex]

[tex]\implies x^2+h^2=79.21[/tex]

[tex]\implies x^2=79.21-h^2[/tex]

Differentiate with respect to h:

[tex]\implies 2x\dfrac{\text{d}x}{\text{d}h}=0-2h[/tex]

[tex]\implies \dfrac{\text{d}x}{\text{d}h}=-\dfrac{2h}{2x}[/tex]

[tex]\implies \dfrac{\text{d}x}{\text{d}h}=-\dfrac{h}{x}[/tex]

Given:

[tex]\dfrac{\text{d}h}{\text{d}t}=-0.8\; \sf m/s[/tex]

Therefore:

[tex]\begin{aligned} \dfrac{\text{d}x}{\text{d}t}&=\dfrac{\text{d}x}{\text{d}h}\times \dfrac{\text{d}h}{\text{d}t}}\\\\ \implies &=-\dfrac{h}{x} \times -0.8\\\\ &=\dfrac{0.8h}{x} \end{aligned}[/tex]

Calculate x when h = 2:

[tex]\implies x^2=79.21-2^2[/tex]

[tex]\implies x^2=79.21-4[/tex]

[tex]\implies x^2=75.21[/tex]

[tex]\implies x=\sqrt{75.21}[/tex]

Substitute the values of h and x into the equation for dx/dt:

[tex]\implies \dfrac{\text{d}x}{\text{d}t}=\dfrac{0.8 \times 2}{\sqrt{75.21}}=0.1844939751[/tex]

Therefore, the rate of the ladder's distance from the wall is 0.184 m/s (3 d.p.)

Let (-12, 5) be a point on the terminal side of theta.
Find the exact values of sin theta , sec theta, and tan theta.

Answers

- 13/12 is the value of trigonometric functions sec θ  .

What do trigonometric functions mean?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides.

r = √( -12 - 0 )² + ( 0 - 5 )²

r = √144 + 25

r = √169

r = 13

Now we can calculate the trigonometric functions

 sinθ = y/r = 5/13

 cosθ = x/r = -12/13

 tan θ = y/x = - 5/12

  cot θ = x/y = -12/5

   sec θ = r/x = - 13/12

 

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The population of a pigeons in a city is 110 and is growing exponentially at 10% per
year. Write a function to represent the population of pigeons after t years, where the
quarterly rate of change can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
rate of change per quarter, to the nearest hundredth of a percent.

Answers

Answer:

The decemial is 7

Step-by-step explanation:

0.7. Because 04 plus 0.3 equal to 0.7


Write an equation of a line that passes through the point (1, -2) and is parallel to the line y = x - 5.

Answers

Answer:

y = x - 3

Step-by-step explanation:

y - y1 = m( x - x1 )

y - (-2) = 1 (x - 1)

y + 2 = x - 1

y = x - 3


15. Mindy has $20. She spent $8.64 including tax to buy a new card game. She
needs to set aside $10 to buy lunch. If Lollipops cost $.28 including tax, what is
the maximum number of lollipops that Maya can buy?

Answers

Step-by-step explanation:

she can therefore only spend $10 of the $20.

$8.64 are adjust gone for the card game.

that leaves us with

10 - 8.64 = $1.36

to spend on lollipops.

1 lollipop costs $0.28

so, she can buy a many lollipops as times 0.28 fits into 1.36 :

1.36 / 0.28 = 4.857142857...

that means she can buy 4 lollipops max.

she would keep some change, but not enough to buy a 5th lollipops, because then she would have to cut into the $10 reserve she needs for lunch.

for 5 lollipops she would need $1.40 (5×0.28).

a stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3.3 ft/s. how rapidly is the area enclosed by the ripple increasing at the end of 6.4 seconds?

Answers

In 139.4 [tex]\pi[/tex] [tex]ft^2[/tex]sec rapidly is area of enclosed by the ripple increasing at the end of 6.4 seconds.

What is area of circle?

 For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much fabric is required to completely cover a circular table, for example. We can determine the boundary length, or the circle's circumference, using the area formula.

Here area of circle

=> A= π[tex]r^2[/tex]--------> 1

Differentiating 1 with respect to to time then

=> [tex]\frac{dA}{dt}= 2\pi r\frac{dr}{dt}[/tex]

If the radius is  increasing at a constant rate 3.3ft/sec then after 6.4 seconds, radius is

=> 6.4*3.3=21.12 ft.

We know [tex]\frac{dr}{dt}= \frac{3.3ft}{sec}[/tex] and so ,

=> [tex]\frac{dA}{dt}[/tex] = 2*[tex]\pi[/tex]*21.12*3.3=139.4 [tex]\pi[/tex] [tex]ft^2[/tex]sec.

Hence In 139.4 [tex]\pi[/tex] [tex]ft^2[/tex]sec rapidly is area of enclosed by the ripple increasing at the end of 6.4 seconds.

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