1) For what values is the statement true? sin(x+20)°=cos(y−10


x=20, y=60


x=20, y=50


x=30, y=40


x=30, y=60


2)In right triangle ABC with right angle C, sinA=4/5 and cosA=3/5. What is sinB+cosB?


1/5


7/5


35/12


5/7


3)In a right triangle ABC where sinA=cosB, what are the measures of acute angles A and B if the measure of angle A is three times the measure of angle B?


The measure of angle A is 67. 5° and the measure of angle B is 22. 5°.


The measure of angle B is 135° and the measure of angle A is 45°.


The measure of angle A is 135° and the measure of angle B is 45°.


The measure of angle B is 67. 5° and the measure of angle A is 22. 5°.


4)What is the value of b that makes the equation cos(17b+26)°=sin(15b)° true?


13


2


9. 5


3

Answers

Answer 1

Answer:

1) X =20° ,Y=60°

2) 7/5

3) first is correct

4) 2


Related Questions


Hugo received $100 dollars for
birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his savin
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
The equation would be written as:
y=
vx+
The x in this equation represents:
The y in this equation represents

Answers

Answer:

i believe its 100*20x

Step-by-step explanation:

please no h8 i tried

solve for x - 10 = x-7/3

Answers

Answer:

no solution

Step-by-step explanation:

x - 10 = x - 7/3

cancel the terms on both sides

-10 = -7/3

statement is false

no solution

The table below represents the metric volume measure of a liter with each amount represented as a power of 10. a 2-column table with 5 rows. column 1 is labeled unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. column 2 is labeled power of 10 with entries 10 superscript negative 2, 10 superscript 0, 10 squared, 10 cubed, 10 superscript 6. the work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000 the of the original exponent is the exponent in the power of quotient. the kiloliter is 103 times greater than a . the hectoliter is times greater than centiliter.

Answers

A megaliter is 10,000 times larger than a hectoliter.

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

What is an equation?

An equation is an expression that shows the relationship between two or more variables.

1 mega liter = 10^6 Liter

1 hectoliter = 10^2 Liter.

Hence, a megaliter is 10,000 (10^6/10^2) times larger than a hectoliter

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

Uncle Reynald's age is given by the expression 3(12 + 5) - 4.

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Answer:

the first one is diffrence

2nd one is liter

3rd one 10,000

Step-by-step explanation:

HELP PLS I NEED THIS ASAP WOULD GIVE 15 PTS AS LONG AS YALL HELP

Answers

Answer:

10

Step-by-step explanation:

This is just a prediction but given that it lands on blue more times than any other color i would say 10 out of 16

What is the slope below?

Answers

Answer:

8/1

Step-by-step explanation:

To find slope you would do:

rise/run

Up and down is the rise

Left and right is the run

In your problem it goes up 8 and right 1

Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much would an order of 1 hamburger and 2 orders of fries cost?

Answers

The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

[tex]3x+2y=12.5[/tex]

Solve this equation as,

[tex]2y=12.5-3x\\y=\dfrac{12.5-3x}{2}[/tex]                        .....1

Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

[tex]2x+4y=13[/tex]

Put the value of y in this equation and solve it further,

[tex]2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3[/tex]

Put this value of x in equation 1,

[tex]y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75[/tex]

The cost of an order of 1 hamburger and 2 orders of fries is,

[tex]C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5[/tex]

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

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f(x) = -7x - 19
g(x) = 0.75x + 4.25
x=​

Answers

Answer:x=-14.75

Step-by-step explanation:

f(x) = -7x - 19=-19

g(x) = 0.75x + 4.25 =4.25

I NEED HELP QUICK!!!!

Answers

Answer:

45 miles

Step-by-step explanation:

Giving Information.

From Northville To Newberry is 18 inches.

2 in -> 5 miles

The inches cancel each other out leaving it miles.

[tex]18 inches*\frac{5 miles}{2 inches} = 45 miles[/tex]

Answer: 45 miles.

Step-by-step explanation: 2 in -> 5 miles, 18 inches.

I need help with this

Answers

Answer:

B would be my best answer, not sure tho

please help me

A coin is flipped three times, and the following list shows the possible outcomes.

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

What is the probability of getting exactly one head?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

3/8

Step-by-step explanation:

HHT,THH, and TTH are the 3 outcomes with 1 head out of 8 total outcomes

Below is the graph of equation y=|x+2|-1. Use this graph to find all values of x for the given values of y. y>0

Answers

For the given absolute value function, we have that:

y > 0 in the intervals (-∞, -3) and (-1, ∞)

y < 0 in the interval (-3, -1)

y = 0 for x = -3 and x = -1.

When the function is positive?

The function is positive when the graph is above the horizontal axis.

Here, we can see that the intervals where the graph is above the horizontal axis is are (-∞, -3) and (-1, ∞)

When the function is negative?

The function is negative when the graph is below the horizontal axis. In this case, we can see that the only negative interval is (-3, -1)

When the function is zero?

The function is equal to zero when it intercepts the x-axis, in this case, the function is zero for x = -3 and x = -1

If you want to learn more about absolute value functions, you can read:

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Lois rented a car for $54.00 a week plus $0.15 for each mile the car is driven. What is the greatest number of miles Lois can drive the car in one week if she wishes to spend at most $140.00?

Answers

Answer:

2 weeks

Step-by-step explanation:

54.00 + 0.15 = 54.15

140/54.15 = about 2.5

Since she can only spend $140, she has to round down, so the answer is 2 weeks.

A group of friends were working on a student film that had a budget of $1500. They
used $780 of their budget on costumes. What percentage of their total budget did
they spend on costumes?

Answers

Answer: 52 %

Step-by-step explanation: 780/1500 × 1100/1

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

780/1500 x 100 = 52%

The percentage of the amount spent on customs is 52%

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total budget = $1500

Amount spend on costumes = $780

The percentage of the amount spend on customs.

= 780/1500 x 100

= 52%

Thus,

The percentage of the amount spent on customs is 52%

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The test scores for the Chapter 5 test in Algebra I were:
75.95.90.95,60,95,75,95,90.

Question:
a. Find the mean, median, mode, and range of the data.
b. Which measure best describes the set of data? Why?
c. If test scores of 65 and 75 were added to the set, what would happen to the mean?
es )))

Answers

Answer Question 1: Mean literal number 85.55556 Not sure if there allowing you to round to the nearest tenth of digit

Median 90

Mode 95

Range 35


Question 2: Median is the best way because it gives you the overall average of a set of numbers.


Question 3: The mean would change because if you are adding new numbers you have to recount the mean meaning there is now a new average.


-11x - 72 = 84 + x
And I also need to do the check part

Answers

Answer:

Step-by-step explanation:

-11x - 72 = 84 + x

combine like terms on opposite side of =

(-11x )+ (-1x) = (84) + (72)

-12x = 156

divide both sides by -12 to isolate x

-12/-12 = 156/-12

x = -13

insert (-13)  for x

(-11 * -13) -72 = 84 + (-13)

71                =          71

equality means its right

Find the surface area of the cylinder

Answers

[tex]\bold{ANSWER:}[/tex]

362.85 in^2

- This one is correct for sure.

[tex]\bold{EXPLANATIONS:}[/tex]

Determine the next step for solving the quadratic equation by completing the square.

0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 +
= –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are
Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction.

Answers

[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2[/tex]

the idea behind the completion of the square is simply using a perfect square trinomial,  hmmm usually we do that by using our very good friend Mr Zero, 0.

if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.

keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b",  so in this case the middle term is "-x", and the 1st term is x², so we can say that

[tex]\stackrel{middle~term}{2(\sqrt{x^2})(\sqrt{b^2})~}~ = ~~\stackrel{middle~term}{-x}\implies 2xb~~ = ~~~~ = ~~-x \\\\\\ b=\cfrac{-x}{2x} \implies b=-\cfrac{1}{2}[/tex]

so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.

[tex]-3~~ = ~~-2\left[ x^2-x+\left( \cfrac{1}{2} \right)^2 ~~ - ~~\left( \cfrac{1}{2} \right)^2\right]\implies -3=-2\left(x^2-x+\cfrac{1}{4}-\cfrac{1}{4} \right) \\\\\\ -3=-2\left(x^2-x+\cfrac{1}{4} \right)+(-2)-\cfrac{1}{4}\implies -3=-2\left(x^2-x+\cfrac{1}{4} \right)+\cfrac{1}{2} \\\\\\ -3-\cfrac{1}{2}=-2\left(x^2-x+\cfrac{1}{4} \right)\implies -\cfrac{7}{2}=-2\left(x-\cfrac{1}{2} \right)^2\implies \cfrac{7}{4}=\left(x-\cfrac{1}{2} \right)^2[/tex]

[tex]~\dotfill\\\\ \pm\sqrt{\cfrac{7}{4}}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}+\cfrac{1}{2}=x \implies \cfrac{\pm\sqrt{7}+1}{2}=x[/tex]

Answer:

see picture

Step-by-step explanation:

-1/2
1/4
1/2

What is the answer to −(3x−9)

Answers

Answer:

-3x + 9

Explanation:

Because these two integers that is - and - is said to be added and write the sign of of greater or bigger number.

while waiting for a video game to download, you notice that 30\%kilobytes have been downloaded so far.


How many kilobytes have been downloaded so far?

Answers

Step-by-step explanation:

30/100*32000=

960,000/100

=9,600 kilobytes.

The following scatter plot represents the height of a basketball in seconds during a free throw shot.
(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Why is a quadratic model more appropriate for this data? Explain your answer in complete sentences.
(b) Use a graphing calculator or other technology to write a function that better models the data in the scatter plot. Round each term to the nearest ten-thousandth.

Answers

The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The following scatter plot represents the height of a basketball in seconds during a free throw shot.

(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.

(b) Write a function

We know that the quadratic equation is given as ax² + bx + c = y

This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have

[tex]\rm a + b + c = 9.3 \ \ \ \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \ \ ...2\\\\9a + 3b + c = 14 \ \ \ \ \ \ ...3[/tex]

On solving the equations 1, 2, and 3. Then we have

a = -1.25, b = 7.35, and c = 3.2

Then the quadratic equation will be

y = -1.25x² + 7.35x + 3.2

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Paloma eats 2 /8 of an apple in the morning and 3/ 8 more in the afternoon. How much of the apple did she eat in total?

Answers

Answer:

5/8

Step-by-step explanation:

2/8 + 3/8 is 5/8

Answer:

5/8

Step-by-step explanation:

With like denominators we can operate on just the numerators:

[tex]\frac{2+3}{9}[/tex]

=[tex]\frac{5}{8}[/tex]

is there any bias in the following survey question explain. So you prefer delicious chocolate ice cream or boring ice cream?

Answers

Answer:

yes, contains bias

Step-by-step explanation:

surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.

Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?

Answers

Answer:

1/13  

Step-by-step explanation:

There are 4 aces in the 52-card deck   so prob = 4/52 = 1/13

Which equation below would be parallel to the line y= 2x+5 and pass through the point (3,1)

Answers

The answer is A, first the question said parallel so it should have same gradient and the gradient of the equation is 2 So eliminate D and bring (3,1) in each of the last three equation, and you will find just A conformed

PLEASE HELP ASAP!!!!!!!!

Answers

Answer:

The answer is 6 rides that cost $26.

Step-by-step explanation:

Plan A: $20 plus $1 per ride.

Plan B: $8 plus $3 per ride.

Turn that into a linear equation to graph.

Plan A: [tex]y=1x + 20[/tex]

Plan B: [tex]y=3x + 8[/tex]

The x-axis is rides and the y-axis is $.

On the graph appears that it takes 6 rides for Plan A and B to be the same a cost of $26.

A die was rolled 40 times. The results of each roll is given in the table below. If the die is rolled
once more, find the experimental and theoretical probability for each result.

Answers

The experimental and theoretical probability for each result are:

                                    Theoretical  Experimental

P(5)                                      1/6              7/40

P( 1 or 6)                               1/3              7/20

P(no more than 4)                2/3             21/40

P(greater than 2)                  2/3                7/10

What is the probability?

Probability determines the chances that an event would happen. Experimental probability is the probability of an event happening based on the result of an experiment that has been carried out multiples time.

Theoretical probabilities:

P(5) = number of sides with 5 / total number of sides = 1/6

P( 1 or 6)  = number of sides with 1 / total number of sides + number of sides with 6 / total number of sides  = 1/6 + 1/6 = 1/3                  

P(no more than 4)   = number of sides that is no more than 4 / total number of sides  = 4/6 = 2/3

P(greater than 2) = number of sides greater tha 2 / total number of sides   = 4/6 = 2/3      

Experimental probabilities:

P(5) =  number of times there was a result of 5 / total number of times the die was rolled = 7/40

P( 1 or 6) = (number of times there was a result of 1 / total number of times the die was rolled) + (number of times there was a result of 6 / total number of times the die was rolled )

2/40 + 12/40 = 14/40 = 7/20    

P(no more than 4) = sum of results no more than 4 / total number of times the die was rolled = ( 2 + 10 + 5 + 4) = 21/40

P(greater than 2) = sum of results greater than 2 / total number of times the die was rolled = (7 + 12 +5 + 4) / 40 = 28/40 = 14/20

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¿Cual es la medida de < X?

Answers

Answer:

49°

Step-by-step explanation:

∠XOZ = 90°

∠XOV = 41°

90 - 41 = x°

49 = x°

A pizza shop has available toppings of anchovies, bacon, mushrooms, onions, sausage and olives. How many different ways can a pizza be made with 3 toppings?

Answers

There are 56 different ways of making pizza with 3 toppings.

8 pizzas will made with 3 different toppings

PLEASE FAST!!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

its B , 4 11/20

Step-by-step explanation:

Answer:

The 2nd Answer Choice

Step-by-step explanation:

You make sure that the fractions have the same denominator, and then you subtract them.

what is the area of this figure?

Answers

first, calculate the area of the square, which is 25

next, find the area of one half of the triangle by multiplying 2.5 and 4 (10), then dividing that by 2 (5).

since the two half’s of the triangle are symmetrical, just add 5 and 5 to get 10.

add the area of the triangle (10) and the square (25) to get the total area.

the answer should be 35

hope this helps!
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