Question
On a piece of paper, use a protractor to construct right triangle ABC with AB=3 in., m∠A=90°, and m∠B=45°.

What statement is true about the triangle?

A/1).AC=3 in.
B/2).BC=3 in.
C/3).BC=6 in.
D/4).AC=6 in.

Answers

Answer 1

Answer:

AC=3 in.

Step-by-step explanation:

It is given in the figure attached, in Δ ABC

∠ A = 90°

m∠B = 45°

AB = 3 in.

We have to find all sides of the triangle given

we will apply sine in Δ ABC to find the measure of AC

sinB =

Now by cross multiplication

BC = 3√2 in.

Now by Pythagoras theorem

BC²= AC² + AB²

(3√2)² = AC² + 3²

18 - 9 = AC²

AC = √9 = 3

Now we come to the options you have mentioned

AC = 3 in. is the correct answer.


Related Questions

20 points and guaranteed brainliest!! A rectangular prism is 3 inches long, 5 inches wide, and has a height of 6 inches. What is its surface area?

90 in 2
120 in 2
126 in 2
63 in 2

Answers

Answer: 126 in ^2

Step-by-step explanation:

The surface area of a rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

Substituting the given values, we get:

Surface Area = 2(3)(5) + 2(3)(6) + 2(5)(6)

Surface Area = 30 + 36 + 60

Surface Area = 126 square inches

Therefore, the surface area of the rectangular prism is 126 in^2.

Answer: 126!!

Step-by-step explanation: A=2(wl+hl+hw)

the line plot shows the number of minutes arda practiced the violin each day for two weeks describe the shape of the distribution

30, 40, 50, 60, 70, 80, 90

Answers

According to the information, the distribution of the data is multimodal distribution.

How to find the type of distribution of the graph?

To find the type of distribution of the graph we must analyze the graph and identify the values and the frequency of each of the values. Based on this information, we can establish that the type of distribution of this graph is multimodal distribution.

Why is it a multimodal distribution?

According to the data in the graph, we can infer that it is a multimodal distribution because it has low and high points in different variables and does not have an established pattern.

Learn more about distribution in: https://brainly.com/question/29062095

#SPJ1

A sequence of transformations is applied to a polygon. Which of the following statements represent a sequence of transformations where the resulting polygon is similar to the original polygon but has a smaller area than the original polygon? Select TWO that apply.
Responses
1. a rotation of 180° counterclockwise about the origin followed by a dilation about the origin by a scale factor of 5/2
2. a dilation about the origin by a scale factor of 5/7 followed by a reflection over the y-axis and a dilation about the origin by a scale factor of 3/4
3. a reflection over the y-axis followed by a translation of 10 units down and a dilation about the origin by a scale factor of 2
4. a dilation about the origin by a scale factor of 2/3 followed by a rotation of 90° counterclockwise about the origin and a translation 5 units left

Answers

Answer:2

Step-by-step explanation: I think

A statistician takes several random surveys, each of 30 lifeguards, to determine the favorite sunscreen brand of lifeguards. The table shows the mean results from all the surveys.

Answers

Answer:

2,5 are the answers have a great day

Factor this expression completely and then place the factors in the proper location on the grid.

9 a⁴ - b²

Answers

Answer:

(3a^2 + b)(3a^2 - b)

Step-by-step explanation:

How much will the storage container hold?

Answers

Answer: A One-trip 10-foot container provides 80 square feet of sturdy storage space.

Step-by-step explanation:

I had a question like this before

I think it’s correct maybe its not correct sorry
V=(10*4*5)+(10*1*3)

A server wants to rearrange the tables into for identical rows of small and large tables. How can you rewrite 12 a plus 8B, so that the expression shows the number of small tables and the number of card tables in each row write your answer in the blanks (part b)

Answers

This is the answer to the prob

Please Help guys!!!

-Graphing Linear equalities with slope and y-intercept-

Answers

Answer:

If Ali has $9 and spends $2 each week buying chips. This means that the equation is: y = 9 - 2x. This is because the equation is calling for the amount of money Ali has left, which means that you have to subtract 2 times the amount of weeks passed from 9.

Week 1 ---- y = $7

Week 2 ---- y = $5

Week 3 ---- y = $3

You can also notice that each week the amount of money Ali has left decreases by 2.

Carrie the chef has 10 orders she needs to finish In 24 hours. The orders: A cake which will take a hour,a box of cookies which will take 45 minutes,a dozen donuts which will take 34 minutes,5 loaves of bread which will take 3.4 hours each,and 2 boxes of candy which will take 13 mins. How many minutes or hours will she have left over to relax?

Answers

Answer: Carrie the chef will have 268 minutes left over to relax.

Step-by-step explanation: Add up how many minutes each pastry will take, and convert hours into minutes. So, you will add 45+34 which is already at 79 minutes, then you do 3.4x5 (3.4 hours for 5 loaves of bread) which is 17 hours, converted into minutes is 1020 (17x60), then add the 13 minutes for the 2 boxes of candy. You'll get 1172, then you subtract it from 1440 (how many minutes there are in 24 hours) and you get 268! Therefore, she gets 268 minutes left!

Hope this helps!

she will have 268 minutes left over to relax bro

PLEASE I BEG HELP ME!!!!! For GCF and LCM word problems how do you know when its asking for GCF or if its asking for LCM????
What are some keywords to look out for???

Answers

Answer:

GCF is Greatest common factor and LCF Is least common factor

GCF: greatest, largest, maximum, dividing something, cutting into pieces.

LCM: smallest, minimum, first, next, repeated over, when both will be equal

Please Help guys!!!

-Graphing Linear equalities with slope and y-intercept-

Answers

Answer:

slope = 1

y-intercept = -3

equation:  y = x - 3

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁)

choose any 2 consecutive x. y pairs and plug the numbers into the equation.  I pick (0, -3) and (1, -2)

slope = (-2 - -3 / (1 - 0) = 1/1 = 1

y-intercept = -3     this is where the line crosses the y axis at point (0, -3)

Equation:  y = mx + b = (1)x + (-3) = x - 3

y = x - 3

To draw the graph, it's easy (sorry, Brainly doesn't provide drawing tools):

put the first point at (0, -3) then go up 1, over 1, up 1, over 1, etc. because the line has a slope of 1/1.

the line should slant up because it has a positive slope

Each equation represents a proportional relationship. Choose the equations for which the constant of proportionality is 1/4
.
A) y = 4x
B) y = 0.25x
C) 4y = x
D) 32y = 8x
E) 1/4y = 2x

Answers

Answer:  E)1/4y=2x

Step-by-step explanation:

The constant of proportionality represents the ratio between the dependent and independent variables in a proportional relationship. If the constant of proportionality is 1/4, it means that the dependent variable is one-fourth the value of the independent variable.

So, we need to determine which equations have a constant of proportionality of 1/4:

A) y = 4x

The constant of proportionality in this equation is 4, not 1/4.

B) y = 0.25x

The constant of proportionality in this equation is 1/4.

C) 4y = x

The constant of proportionality in this equation is 1/4, since we can rewrite it as y = 1/4x.

D) 32y = 8x

We can simplify this equation by dividing both sides by 8:

4y = x

The constant of proportionality in this equation is 1/4.

E) 1/4y = 2x

We can rewrite this equation as:

y = 8x

The constant of proportionality in this equation is 8, not 1/4.

Therefore, the equations for which the constant of proportionality is 1/4 are B), C), and D).

Answer:

  B, C, D

Step-by-step explanation:

You want to identify the equations that have a constant of proportionality of 1/4.

Proportional relation

A proportional relationship can be written in the form ...

  y = kx

where k is the constant of proportionality.

You want to identify those relations that are equivalent to this with k=1/4.

Choices

A) y = 4x . . . . . k = 4 ≠ 1/4

B) y = 0.25x . . . . . k = 0.25 = 1/4

C) 4y = x   ⇒   y = 1/4x . . . . . k = 1/4

D) 32y = 8x   ⇒   y = 8/32x = 1/4x . . . . . k = 1/4

E) 1/4y = 2x   ⇒   y = 2/(1/4)x = 8x . . . . . k ≠ 1/4

The relations with a constant of proportionality of 1/4 are B, C , D.

<95141404393>

Help me pls pls pls pls

Answers

Answer:

(520-(114×2))÷2

=(520-228)÷2

=292÷2

=146cm

Perimeter of rectangle:

length×2 + wide×

=Total perimeter



.......................................................................................................................................................................

Answers

Answer:

See below.

Step-by-step explanation:

For this problem, we are asked to find equivalent expressions.

We should use the Distributive Property.

What is the Distributive Property?

The Distributive Property is a property that allows us to multiply the number outside of the parentheses into the numbers inside the parentheses. Think of the Distributive Property in the form of x (y + z); We multiply x with y and z.

Since we know what the Distributive Property is, we can begin finding equivalent expressions.

Let's start by distribution:

[tex]3x+3(x+y)\\3x + 3x + 3y\\6x + 3y[/tex]

A is a correct option.

Let's check B and C.

Distribute:

[tex]3(x+x+y)\\3x+3x+3y\\6x+3y[/tex]

B is a correct option.

Distributing isn't needed for expression C.

[tex]3xy\neq 6x + 3y[/tex]

C is an incorrect option.

A and B are the correct options.

here are some clues

⚪. The Greatest Common Factor of 18,36 and me is 2
⚪. I am a multiple of 5.
⚪.I am greater than 18 and less than 30.


What is the mystery number????
PLEASE HELP

Answers

Answer: 20. Hope this helps!!!
the mystery number is 20

A restaurant uses c cups of flour for baking rolls and 12 cups of flour for baking pies each day. Use the Distributive Property to write an expression for how much flour the restaurant uses in seven days

Answers

Answer:   7C+84Step-by-step explanation:Distributive property : a(b+c) = ab+ac , where a,b,c, are any expressions.Given : A restaurant uses C cups of flour for baking rolls and 12 cups of flour for baking pies.i.e. Number of cups of flour used for baking rolls per day = CNumber of cups of flour used for baking pies per day = 12Total flour used each day= C+12Now , total flour used in 7 days = 7 x (Total flour used each day)= 7 (C+12)= 7C +7 (12)   [By distributive property]= 7C+84Hence, the expression for how much flour the restaurant uses in seven days : 7C+84

number 12 please!

12. A wall contains a rectangular window. The area (in square feet) of the window is represented by x ^ 2 - 14x + 48

a. Write a binomial that represents the height of the window.

b. Find the perimeter of the window when the height of the wall is 12 feet.

Answers

Answer :

a - binominal = an algebraic expression of the sum or the difference of two terms. So I put it in the perimter 12. 6+12=18. So the width would be 18. 18+12+18+12 = 30+30 = 60. just put that ig ??

Question : Is this RSM? Because if I knew the grade ,  advanced/normal/honors I would be able to help u more

Solve step by step : x=12 because it said the height is 12.

Inside, x-6, so therefor it would really be, 12-6. Which we know would be 6.

Perimeter : 60

now we know the inside is 6. The outside height is 12. 6+12=18. So the width would be 18. 18+12+18+12 = 30+30 = 60.

H    O     P    E                             I                           H   E   L   P  E   D !   !    !

what is the surface area?

Answers

Answer:

54 m²

Step-by-step explanation:

a cube's sides are all the same, and it has 6 sides, so simply find the area of one side and multiply that by 6.

3×3 = 9

9×6 = 54

The area of one face* the amount of faces
Since it’s a cube there’s 6 faces
Since each face is a square to find the area it’s just 3^2

So it’s 9*6=54m^2


I need help due at 7:45

Answers

Answer:

C

Step-by-step explanation:

Answer:

Number 3

Step-by-step explanation:

You plot out the equation and that line is your answer.

MATH ‍

Answers

Answer:

Radius = 2.5559cm

To the nearest tenth = 3cm

Step-by-step explanation:

Volume of bottle = 160cm³

Height of bottle = 7.8cm

π = 3.14

Radius of bottle = r

Using the formula,

V = πr²h

160 = (3.14)(r)²(7.8)

160= 24.492r²

Dividing both sides by 24.492,

160/24.492 = r²

r² = 6.5327, which is approximately 6.533

Making r the subject,

r = √6.533

r = 2.5559, which is approximately 2.556

Round to the nearest tenth = 3

Therefore, the radius of the cylindrical bottle is 3cm.

Hope it helps. Happy New Month. Have a nice week.

Radius = 2.5559cm
To the nearest tenth = 3cm

how to expand 0.4 (-5 - 7y - 13.8)

Answers

Answer:

-2-2.80y-5.52

Step-by-step explanation:

distribute and multiply 0.4 to everything in the parentheses the symbols may be incorrect

Answer: The answer is -2-2.80y-5.52

Step-by-step explanation:

Can anyone plss help?

Answers

Answer:

x= 5/2 or 2.5

Step-by-step explanation:

------------

Answer:

x=2.5

Step-by-step explanation:

2.5×4=10

10+10+30+30=80

Whats this??>>>>>>>>>helpppp

Answers

Answer: A: 16, B:2

Step-by-step explanation:

A: absolute value of a number is always positive, 7+9=16

B: just do the inside

Meg ordered a set of beads. Of the beads she received, 6,500 were red and 3,500 were a different color. What percentage of the beads were red?​

Answers

65% of the beads were red
3500/6500=0.54*100=54%

PLEASE HELP ILL MARK BRAINLIEST!

Meg laid 15 tiles in 50 minutes.
Jessica worked for 85 minutes at a faster rate per tile than Meg.
Choose all the rates that could be Jessica’s rate.

20 tiles in 85 minutes

24 tiles in 85 minutes

28 tiles in 85 minutes

1 tile in 3 minutes

1 tile in 4 minutes

Answers

Answer:

The correct options are C and D

Important information:

Meg laid 15 tiles in 50 minutes.

Jessica worked for 85 minutes at a faster rate per tile than Meg.

Step-by-step explanation:

The rate per tile of Meg is:

Rate = time/no. of tiles

Rate = 50/15

Rate = 3.333333...etc

Calculate the rates per tile for each option.

85/20 = 4.25

85/24 = 3.54167...

85/28 = 3.0357

3/1 = 3

4/1 = 4

From the above calculation is clear that the time spent per tile is less than Meg's rate in options C and D.

Therefore, the correct options are C and D.

The green turtle lays eggs that are approximately spherical with an average diameter of 4.5 centimeters. Each turtle lays an average of 113 eggs at one time. Approximately, what is the total volume of these eggs, to the nearest cubic centimeter?

A) 43,132
B) 5,390
C) 4,044
D) 48

Answers

The answer is B (I am incorrect because I’m trying to get more points):)
The Answer is C :) I have gotten similar to this

In the diagram below, l⊥m.

Answers

Answer:

This means that line l and line m are perpendicular.

Step-by-step explanation:

There’s no picture, but that means that those two lines are perpendicular :)

The local High School currently has approximately 950 students
enrolled. They are anticipating a 12% increase next year. How many
students are they anticipating?

Answers

Answer:
To find the number of students the school is anticipating, you can use the following formula:

Anticipated number of students = Current number of students + (Percentage increase * Current number of students)

Plugging in the given values, we get:

Anticipated number of students = 950 + (12% * 950)
Anticipated number of students = 950 + (0.12 * 950)
Anticipated number of students = 950 + 114
Anticipated number of students = 1064

Therefore, the school is anticipating 1064 students next year.

- I Hope This Helps! :)

Answer:

1064

Step-by-step explanation:

To calculate the number of students the high school is anticipating next year, we need to find 12% of the current enrollment and add it to the current enrollment:

12% of 950 = 0.12 * 950 = 114

So the high school is anticipating an additional 114 students next year.

To find the total anticipated enrollment, we add the additional 114 students to the current enrollment of 950:

Total anticipated enrollment = 950 + 114 = 1064

Therefore, the high school is anticipating 1064 students next year.

Answer ALL questions

Answers

Answer:

Step-by-step explanation:

1. 14/33

2. 5/7

3. 1/4

Answer:

14/33, 5/7, and 1/4

Step-by-step explanation:

When multiplying fractions, there are three steps to follow.

1. Multiply the numerators together

2. Multiply the denominators together

3. Put the numerator product as the numerator and the denominator product as the denominator

4. Find the GCF and equalize the fraction


let’s do this with number 1. We have 2/3 and 7/11. First, we multiply the numerators.
2 x 7 = 14

Next, we multiply the denominators:

3 x 11 = 33

Now let’s see if there are any common factors of 14 and 33:

14: 1, 2, 7, 14

33: 1, 3, 11, 33

Since there are no common factors, 14/33 is our final answer.


next problem: 6/7 and 5/6.

Multiply 6 and 5 = 30 (as numerators)

Multiply 7 x 6 = 42 (as denominators)

List the factors:

30: 1, 2, 3, 5, 6, 10, 15, 30

42: 1, 2, 6, 7, 21, 42

Since the biggest factor of both is 6, we can factor that out:

6(5)/6(7)

5/7 is our final answer


last problem: 2/5 and 5/8

Multiply 2 and 5 = 10

Multiply 5 and 8 = 40

List the factors:

10: 1, 2, 5, 10

40: 1, 2, 4, 5, 8, 10, 20, 40

Since the biggest factor of both is 10, we factor that out:

10(1)/10(4)

1/4 is our final answer.


If you liked this answer, please brainliest!


I AM GIVING 27 POINTS for 6 Questions Help

Answers

Answer:

36.04%

Step-by-step explanation:

173 x 100 = 17300

17300/480

= 36.04%

Answer:

1. 33% of toys will be defective this day

2. Approximately 2,286 people is the towns population

3. Approximately 35 home runs were hit by the Dodgers in 2014

4. Mr. Hollins budget is $5000

5. Eddie has read about 36% of the book

6. 300 grams of carbohydrates are recommended per day

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