Find the measure of the angle marked with a question mark using inverse trig
functions. Round your answer to the nearest degree. Enter the number only.

I need the answer quick

Find The Measure Of The Angle Marked With A Question Mark Using Inverse Trigfunctions. Round Your Answer

Answers

Answer 1

Applying the tangent ratio, the value of x in the right triangle is approximately: 5.

What is the Tangent Ratio?

Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.

Given the following:

∅ = 63°Opp = 10 Adj. = x

tan 63 = 10/x

x = 10/tan 63

x ≈ 5

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Related Questions

Evaluate the expression-3 x + 4 when x = 2.

Answers

Answer:

-2

Step-by-step explanation:

-3x + 4

-3(2) + 4

-6 + 4

-2

Substitute in 2 for x, and solve.

-2 (hope this helps)

Just a very quick question for any people willing to answer this question.

4 less than the number n is -15.

(Please type equation and solution!)

Answers

Answer:

n=-11

Step-by-step explanation:

n-4=-15

n-4+4=-15+4

n=-11

N-4= 15 N-4+4=15+4 N=19

each ball has a diameter of 60mm
which has the smallest surface area?

Answers

The second one has the smallest

The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.

Answers

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

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What Is the Intersection of Two Sets

Answers

Answer:

the set of elements that are common to each of the given sets

Step-by-step explanation:

Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.

Questions: Underline the correct answer.

1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).

Answers

We want to see underline the correct part in each statement.

1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, inverse) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (weight and

distance from the center, height and weight).

(by the equation above)

3) The heavier the kid, the (closer, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

down).

5) If Jericho moves closer to the center, Jean tends to go (up, down).

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Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.

Answers

Answer:

The interest is $0.03

Step-by-step explanation:

($720*0.014)/365

The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

P =$720

r = 1.4% = 0.014

n = 365

t = 1 day

[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]

After solving:

A = $730.15

The interest I = A - P

I = $730.15 - 720

I = $10.15

Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

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The price of a t-shirt is $15. If you buy more than 4 shirts, you will get 15% discount. How much do you have to pay (before tax) if you buy 8 shirts?

Answers

8 shirts, with the discount = $111

Colin predicted whether he got answers right or wrong in his 50 question exam.

He identified the 12 questions he thought he got wrong.

It turns out that Colin got 5 questions right that he thought he got wrong.

Colin also got a total score of 42 out of 50 in the test.

What is the percentage accuracy he had with predicting his scores?

Answers

Step-by-step explanation:

so, he predicted he had 12 questions wrong.

that would have been a score of 38.

but he got 42.

that is a difference of 42-38 = 4.

now, accuracy could have different meanings like actual score vs. predicted score, or which questions were right or wrong (for real or predicted), or only looking at the questions that were right (real vs. predicted), ...

I assume it is the first one.

so,

100% = 38 (prediction)

1% = 100%/100 = 38/100 = 0.38

how many % are these 4 questions that his prediction was off from reality ?

4 / 0.38 = 10.52631579...

so, his prediction was off by about 10.53%

please help me with this

Answers

The answer is 6 units. The reason for this is in order to find the volume you need to calculate base times height. In this case the base is 4 1/2 and the height is 1 1/3. First turn the fraction like so… 9/2 x 4/3 = 36/6 than 36/6 divided by6 = 6 . Hope that helps

can somebody please help me

Answers

Answer:

The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].

Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Answers

Answer:

(x-7)(x^2-5)

Step-by-step explanation:

Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?

Answers

Answer:

She sold 14 items

Step-by-step explanation:

530 - 180 = 350

350 / 25 = 14

Please help! Will mark brainliest.
Convert into an exponential expression.

Answers

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

Can someone help me pleaseeeeeee :( no links pleaseee

Answers

a) Keith's car will have less gas.

Locate the point in which miles driven = 90 (Between 60 and 120)

Since Keith's line is lower than Carmen, he has less gas.

We can also find the difference: 11 - 10 = 1.

It will have 1 less gallon.

b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.

Before 180 miles, Keith's car will always have less car remaining.

volume of a cube with 7,5 cm

Answers

Answer:

421.88

Step-by-step explanation:

7.5^3=421.88

Forty percent of the 45 slices of cake were strawberry flavor. How many were not strawberry flavored?

Answers

Answer:

Step-by-step explanation:

the difference of 3 times a number and 2 times that same number is 80.what is the number

Answers

(3n - 2n) = 80
n = 80

(2.5×10^6)–(2.3×10^6)

Answers

Answer:

2×[tex]10^{5}[/tex]

aka 200000

Step-by-step explanation:

9. The area of a rectangular fence is 300 square feet. If the width of the
fence is 15 feet, then find its length.

Answers

Answer:

20 feet

Step-by-step explanation:

The area formula is lw=A, where l is the length, w is the width, and A is the area. So, plug in the known variables. This creates the equation l15=300. Then, solve for l by dividing both sides by 15. Therefore, l=20. You can check your answer by plugging in all of the variables to create the equation 20*15=300. This is a true statement, thus 20 feet must be the correct length.

Forty percent of the beads in a bag of more than 10,000 beads are yellow. Suzy pulls out 10 beads, one at a time with replacement, and notes that eight of these beads are yellow. She says the next bead pulled out will not be yellow because a yellow bead has been pulled out too many times in a row.Is Suzy’s reasoning correct?

Answers

Answer:

No, it is true that the probability of pulling a yellow bead is 0.40, but Suzy should not expect that exactly 40% of such a small number of beads pulled will be yellow. A large city's transit department claims that only 10% of city buses run off schedule.

Answer:

D I believe

Step-by-step explanation:

3 (x-1)=3x-×-3-3+x+3
True or false

Answers

true

Step-by-step explanation:

Answer:

3x-3

Step-by-step explanation:

So false if you Multiply

Owen's score in a card game is 6
points away from zero. If David's score
is the opposite of Owen's and is a
positive value, what is David's score?

Answers

Answer:

aaa is easy you can pitch the ball

Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

What is absolute value of a number?

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have Owen's score in a card game is 6 points away from zero. David's score is the opposite of Owen's and is a positive value.

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

A number cannot be negative and positive at the same time, therefore, Owens score is 6 points away from 0, but in the negative direction of number line. So, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

Therefore, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

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A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?

Answers

well im guessing it the average highway speed 60 mph so it is $7

One spring day, Aisha noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 1° per hour. For the next 5 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Aisha's data.

Answers

Answer:

See attachment

Step-by-step explanation:

2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answers

Answer:

Step-by-step explanation:

Combining like terms occurs at this step:

3x - 6 + 6 = 3 + 6

Combining the - 6 + 6 =and 3 + 6 yields:

3x = 9

Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest

Answers

the answer is 1358.70

Difference between 42.4 and 3.74

Answers

Answer:

38.66

Step-by-step explanation:

which of the following is the slope of a line perpendicular to the line defined by y-2=3x

Answers

Step-by-step explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

y=mx+

lb

Where

m

is the slope and

b

is the y-intercept value.

y

=

4

x

+

1

Therefore, the slope of the line represented by the equation in the problem is:

m

=

4

Let's call the slope of a perpendicular line:

m

p

The slope of a perpendicular line is:

m

p

=

1

m

Substituting gives:

mp=

[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]

A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?

Answers

Answer:

(3/4)pi

Step-by-step explanation:

Find the areas of the two circles and then subtract the smaller from the larger:

A of circle = (pi)r^2

Case 1:  r = 1 unit:  A = (pi)(1) = pi

Case 2:  r = 1/2 unit:  A = (pi)(1/2)^2 = pi/4

The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi

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