Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.
Triangle A B C has angle measures 50 degrees, 40 degrees, and 90 degrees.

Triangle A B C has angle measures 45 degrees, 45 degrees, 90 degrees. The lengths of sides A C and C B are congruent.

Triangle A B C has angle measures 68 degrees, 22 degrees, and 90 degrees.

Triangle A B C has angle measures 60 degrees, 30 degrees, and 90 degrees.

Identify The Triangle That Contains An Acute Angle For Which The Sine And Cosine Ratios Are Equal. Triangle

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that, a series of triangle,

For the sine and cosine to be equal, then,

Sinθ = Cosθ

From, trigonometry identities

Sinθ = Cos(90-θ)

Then,

θ = 90-θ

θ + θ = 90

2θ = 90

θ = 90 / 2

θ = 45°

From the triangle given, using trigonometry ratio,

Sinθ = opposite / hypotenuse.

Sinθ = 20 / 25

Sinθ = 0.8

θ = arcsin(0.8)

θ = 53.13°

The other angles at the triangle is

90-53.13 = 36.87°.

Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

Multiply 2/3 by 42, and then multiply that product by 10

Answers

Answer:

140 is the answer

Step-by-step explanation:

2/3 of 42 is 14 multiplied by ten is 140

Hope this helps ;)

Answer:

280

Step-by-step explanation:

Ted borrowed $100 from 2 years at a 10% interest rate. How much interest will he pay on the loan? What will be the total amount due at the end of the loan?

Answers

Answer:

Interest = $20

Amount due = $120

Step-by-step explanation:

This is a Simple Interest problem. Simple interest is given as:

I = (P * R * T) / 100

Where I = interest

P = principal or amount loaned

R = rate of interest

T = time elapsed

Ted borrowed $100 from 2 years at a 10% interest rate.

This means that P = $100, R = 10%, T = 2 years.

Hence, the interest will be:

I = (100 * 10 * 2) / 100

I = 2000 / 100

I = $20

The interest after two years will be $20.

Therefore, the total amount due at the end of the loan is:

A = P + I

A = 100 + 20 = $120

The amount due is $120.

Please write the answer
x cube + x cube = ?

Answers

Answer:

[tex] {2x}^{3} [/tex]

Step-by-step explanation:

[tex] {x}^{3} + {x}^{3} = {2x}^{3} [/tex]

Answer:

[tex]2x^{3}[/tex]

A) A counterclockwise rotation

B) A reflection over the y-axis

C) A reflection over the x-axis

D) A counterclockwise rotation of 90 degrees about the origin

Answers

Answer:

C) A reflection over the x-axis

Step-by-step explanation:

It shows the reflection but over the x-axis.

What is the image of (-1,-6) after a reflection over the y-axis?

Answers

Answer:

your answer is (1,-6)

Step-by-step explanation:

when a point is reflected in y-axis, then the y-co-ordinate remains same and then x-co-ordinate becomes the opposite of that number.

When you reflect a point across the y-axis, only the x-coordinate changes while the y-coordinate stays the same. For example:

(-x, -y) -> (x, -y)

So:

(-1, -6) -> (1, -6)

Best of Luck!

How does the volume of a square pyramid change if the base area is quadrupled and the height is reduced to 1/9 of its original size

Answers

Final answer:

The volume of a square pyramid changes by a factor of 4/27 when the base area is quadrupled and the height is reduced to 1/9 of its original size.

Explanation:

The volume of a square pyramid can be found using the formula:

Volume = (1/3) * Base Area * Height

If the base area is quadrupled, it means the new base area is 4 times the original.

If the height is reduced to 1/9 of its original size, it means the new height is 1/9 of the original.

Therefore, the change in volume can be calculated as:

Change in Volume = (1/3) * (4 * Original Base Area) * (1/9 * Original Height)

Simplifying the expression, we get:

Change in Volume = (4/27) * Original Volume

Ross has a spinner that is split into eight equal sections numbered 1 through 8. He spun the spinner 1,104 times. Which of the following would be a good estimate of the number of times the spinner landed on number 6?
A.
291
B.
117
C.
209
D.
127

Answers

Answer:

D.  127

Step-by-step explanation:

Because our spinner is split up evenly 8 ways, we a have a 1/8th chance of getting 6 with any given spin. We will want to pick the number that is the closest to one 1/8th of 1104 from our options at the right.

Let's check them one by one. Note that 1/8 as a decimal is .125, if you are using a calculator to do this problem, decimals will be fastest and we'll work with those here.

A) 291/1104 = .264

B) 117/1104 = .106

C) 209/1104 = .189

D) 127/ 1104 = .115

Our closest number to .125 (ie, 1/8th) is .115. or 127 out of 1,104 spins.

Answer:

D, 127

Step-by-step explanation:

it would be d because if the spinners each have equal spots then you can divide it by 8. which gets you 138, but that isn't an option and its probability so its always around a number. so the closest one is 127 or D

How long would it take for a snail (average speed of 0.029) to travel 2,800 miles ?

Answers

Answer:

5 days 12 hours = 7920 minutes. x = 5280 feet = 1 mile.

Step-by-step explanation:

Answer:

answer is 5 days and 12 hours

Step-by-step explanation:

hope we can be friends

can i please get brainliest

To find the area of the regular hexagon, a classmate uses 12m for the perimeter. What is your classmates error?

Answers

Answer:

Required was area, they provided the perimeter

Area = 6sqrt(3) m²

Step-by-step explanation:

Perimeter = 6s

6s = 12

s = 12/6 = 2m

Area = 3sqrt(3)/2 × 2²

Area = 6sqrt(3) m²

sqrt: square root

What is the expanded form of this number?

509.307

Answers

The expanded form of 509.307 will be   [tex]5\times100+ 9\times1 + 3\times0.1 + 0\times0.01 + 7\times0.001[/tex]

What is an expanded form ?

It is  a way to write a number by adding the value of its digits

The expanded form of 509.307 will be

= [tex]500 \times (10^2) + 0\times10^1 + 9 \times10^0 + 3\times10^{-1} + 0\times10 ^{-2} + 7 \times10 ^{-3}[/tex]

= [tex]5\times100+ 9\times1 + 3\times0.1 + 0\times0.01 + 7\times0.001[/tex]

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what is the slope of a line that goes through the points (3, -2) and (2, 3)

Answers

Answer:

-5

Step-by-step explanation:

To find the slope between two points we use

m = (y2-y1)/(x2-x1)

    = (3 - -2)/(2 - 3)

    = (3+2)/(2-3)

    = 5/ -1

    - 5

Answer:

M=-5

Step-by-step explanation:

y2-y1 over x2-x1

3+2 divided by 2-3

5/-1

-5

Help me please find the area of the room

Answers

Answer:

Cut the room into a rectangle and a trapezoid vertically. Then just use the rectangle and trapezoid area formulas to solve.

Step-by-step explanation:

It should work because this is how I find the area of most irregular shapes.

Answer:

To find the area you would first break the shape down into smaller regular shapes. In this case it would be a rectangle and trapezium. Then the next step to working out the area is to work out the area of one of the shapes. In this example i would start with the rectangle as it would be easier. The formula for the area of the rectangle would be length multiplied by the width. Then hold on to the answer. After you would work out the area of the trapezium. The formula for the area of a trapezium is: [tex]\frac{a+b}{2} *height[/tex]. To work this out you would add the lengths of the top line and the bottom line and divide them by 2. Then you would multiply that by the height of the trapezium. After you would add the area of the rectangle and the area of the trapezium and this will give you the total area.

1) Divide the shape into smaller regular shapes.

2) Find the area of the rectangle.

3) Find the area of the trapezium.

4) Add the two areas together.

apply the distributive property to create an equivalent expression to 6(a+2b+3c)

Answers

Answer:

6a+12b+18c

Step-by-step explanation:

Multiply 6 with the numbers inside the parentheses.

Can somebody help me I have not been paying attention

Answers

Answer:

The answer is D.

Step-by-step explanation:

It have 5 different surface. I will name them as front, back, left, right and down. It's easier for you to see.

Front: 36*50= 1800

Back: 14*36=504

Left: 14*48/2=336

Right:14*48/2=336

Down:36*48=1728

Then, we add everything together and get the answer.

1800+504+336+336+1728=4702.

Brahmagupta's book is the oldest text representing zero
as a number, using the symbol 0. Why was this a
mathematical breakthrough?

Answers

Answer:

Understanding zero as a number represented by the symbol 0 enabled mathematicians to have a representation of nothing. Having a digit to represent zero enables mathematics to be more abstract, and allows more complex problems to be solved.

Solve a triangle when A = 27.3°, B = 55.9°, and a = 8.6.

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

i just did the test on edge and got it right, it’s not D, it’s A.

Answer:

A=

Step-by-step explanation:

Solve the equation. 5x + 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9

Answers

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]5x+8-3x=-10[/tex]

Simplify to get [tex]2x+8=-10[/tex]

Find what [tex]2x[/tex] equals to by taking away 8, [tex]2x = -18[/tex].

Divide by 2 to find x, [tex]x = -9[/tex]

Answer:

X = -9

Step-by-step explanation:

If x =-4 and y= 3 , what is the value of x - 3y^2 ?
A. -13
B. -23
C. -31
D. -85

Answers

Answer:

-31

Step-by-step explanation:

= x - 3y^2

= -4 - 3 × 3^2

= -4 - 27

= -31

hope it helps!

The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Which values of x hold true for the inequality?

Answers

Answer:

All integers greater than 12 (13 onwards) satisfy the inequality

Step-by-step explanation:

x + x + 1 + x + 2 > 40.

3x + 3 > 40

3x > 37

x > 12.3333

All integers greater than 12 (13 onwards) satisfy the inequality

Can someone please help me with this problem?

Answers

Answer:

f'(1) = 2

Step-by-step explanation:

f(x) = 2x^2 -2x +3

Take the derivative

f'(x) = 2 * 2x - 2 * 1

f'(x) = 4x -2

f'(1) = 4(1) -2

      =4-2

       =2

In a game of luck, a turn consists of a player rolling 12 fair 6-sided dice. Let X = the number of dice that
land showing "l"in a turn.
Find the mean and standard deviation of X.
You may round your answers to the nearest tenth.

Answers

Answer:

The mean of X, μₓ is 2

The standard deviation of X, σₓ is 1.3

Step-by-step explanation:

Here we have the expected value given by the following relation

Expected value = P(x) × n

Where:

P(x) = Probability that the event occurs

n = Number of times the event occurs

The probability of the dice showing 1  = 1/6

The number dice rolled = 12

Therefore, out of 12, the expected number of dice that show 1 in a turn = 12×1/6 = 2

The proportion, p of dice that show 1 = 1/6, hence the mean, μx = np

Standard deviation of a proportion,  [tex]\sigma _x =\sqrt{np{(1 - p)} }[/tex]

Where:

p = 1/6

n = 12

Hence;

μx = 12 × 1/6 = 2

[tex]\sigma _x =\sqrt{np{(1 - p)} } = \sqrt{12 \times \frac{1}{6} (1 - \frac{1}{6}) } = \sqrt{\frac{5}{3} } = 1.29099 \approx 1.3 \ to \ the \ nearest \ tenth[/tex]

Hence the mean and standard deviation of X are presented as follows;

The mean of X, μₓ = 2

The standard deviation of X, σₓ = 1.3.

Hudson is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 6 people. Hudson booked a total of 19 rooms which can accommodate 87 guests altogether. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system.

Answers

Answer:

Our system is  :   S + L = 19,  and  3S + 6L = 87

Let # of small rooms = S

# of Large rooms = L

10 Large rooms and 9 Small rooms

Step-by-step explanation:

Let # of small rooms = S

# of Large rooms = L

S + L = 19

3*S + 6*L = 87

Our system is  :   S + L = 19,  and  3S + 6L = 87

solve.

S = 19 - L

3*(19 - L) + 6L = 87

57 - 3L + 6L = 87

57 + 3L = 87

3L = 30

L = 10

S = 19 - 10 = 9

Answer:

Step-by-step explanation:

Let the number of smaller rooms be x

Total rooms are 19. So, number of larger rooms  = 19 - x

Total guests = 87

3x + (19-x)6 = 87

what is the mode of this data set 14,79,77,11,14,78,77,65,31,56,16​

Answers

Answer:

There are 2 modes. They are 14 and 77.

what is 1/3 + 14 =26

Answers

Answer:

False

Step-by-step explanation:

HELP!!! PLEASE!!! NOW!!!!!! ASAP!!!!

Answers

Answer:

y < -5

Step-by-step explanation:

19 > -6 - 5y

add 6 to both sides

25 > - 5y

divide by -5

-5 > y

Answer:

y>-5.

Step-by-step explanation:

Solved it don't really know how to explain it. :/

10)
Which statement BEST describes how to find the distance between -5 and 15?!

Answers

Answer: Subtract -5 from 15, or 15- -5= 15+5. The distance would be 20.

Step-by-step explanation:

Answer:

The distance between -5 and 15 is 20.

Step-by-step explanation:

First find the distance between -5 and 0, which is 5. Then find the distance between 0 and 15, which is 15. Add the distances together, and you get 20.

hope this helps :)

Solve: 512^x-2/(1/64)^3x=512

Answers

Answer:

The correct answer is x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Explain.
log2x = log2(3x + 5) + 4

It’s no solution but I need to explain how

Answers

Because there is no answer.

Which values are within the range of the piecewise-defined function? f(x) = StartLayout enlarged left-brace 1st Row 1st column 2 x + 2, 2nd column x less-than negative 3 2nd row 1st column x, 2nd column x greater-than negative 3 3rd Row 1st column negative x minus 2, 2nd column x greater-than negative 3 EndLayout y = –6 y = –4 y = –3 y = 0 y = 1 y = 3

Answers

Answer:

the answer is below frum ed

Step-by-step explanation:

y= -6

Y= -4

Y= -3

Y= 0

Which statement is true about the effect of the 2-page introduction chapter?

The outlier of 2 increases the median page count.
The outlier of 2 increases the mean page count.
The outlier of 2 decreases the median page count.
The outlier of 2 decreases the mean page count.

Answers

Answer:

D

Step-by-step explanation:

The outlier of 2 decreases the mean page count.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

If the outlier is included in the calculation of the median and mean, then it will affect the measures of central tendency.

However, if the outlier is excluded from the calculation, then it will not affect the measures of central tendency.

If the 2-page introduction chapter is an outlier on the higher side of the distribution, the outlier of 2 increases the mean page count more than the median page count.

If the 2-page introduction chapter is an outlier on the lower side of the distribution, the outlier of 2 decreases the mean page count more than the median page count.

therefore, The outlier of 2 decreases the mean page count.

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Complete question:

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