select the true statement about triangle ABC​

Select The True Statement About Triangle ABC

Answers

Answer 1

Answer:

The answer is C.

Answer 2

The true statement about triangle ABC​ is sin A=cos C. Therefore, option C is the correct answer.

From the given triangle ABC, CA=13 units, BA=12 units and BC=5 units.

What are heights and distances?

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

Here,

sin A= Opposite/Hypotenuse

BC/CA=5/13

cos C= Adjacent/Hypotenuse

BC/CA=5/13

So, sin A=cos C

The true statement about triangle ABC​ is sin A=cos C. Therefore, option C is the correct answer.

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Related Questions

Mary sold 10 dozen tamales for $15 per dozen. It cost jer $40 for all of the supplies and ingredients. How much profit did she make?​

Answers

She profited $110 because $10 per dozen equals to $150. Then, you subtract $40 then you have $110. Hope my answer helped. (:

10x15=150

150-40=110

110 is the profit!

hope this helped!

find distance between the points (-3,-2) and (-1,-2)

Answers

2 units between (-3,-2) and (-1,-2)

The distance between the points (-3, -2) and (- 1, - 2) is 2 units.

What is the distance formula between two points?

The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by

[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Given, Are two points (-3, -2) and (- 1, - 2).

Therefore the distance between these two points can be obtained by the distance formula,

[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Therefore,

[tex]D = \sqrt{-1 + 3)^2 + (-2 + 2)^2[/tex].

[tex]D = \sqrt{2)^2 + (0)^2[/tex].

[tex]D = \sqrt{4[/tex].

D = 2units.

So, The distance between the points (-3, -2) and (- 1, - 2) is 2 units.

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A gumball machine has 150 red gumballs. If the red gumballs are 25% of the total number of gumballs, how many gumballs are in the gumball machine?

Answers

Answer:

Step-by-step explanation:

Because 25% is the same as 1/4. We can do the same thing as if we were changing 1/4 into a whole 1/4·4=1. So 25%·4=1. So 150·4 is our answer. So 150·4=600. There are 600 gumballs in the machine. :D

Answer:

600 Gumballs in total

Step-by-step explanation:

Write it as a proportion.

25/100 = 150/x

25x = 15000

x = 600 gumballs

OR

You could multiply 150 by 4 because 25% equals 1/4.


The object below is made of solid plastic. It is a cylind
in the shape of a cone.
is a cylinder with an indentation at the top
0.7 in IT
V
tv-lehah
What is the volume, to the nearest tenth of a cubic inch of the plastic object
is this correct ​

Answers

Answer:

97.6

Step-by-step explanation:

test

The amount of three-dimensional space enclosed by a closed surface. The volume of the object is 97.6 in³.

What is volume?

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

The volume of the object is the difference between the volume of the cylinder and the volume of the cone. Therefore, the volume of the object can be written as,

The Volume of object =  Volume of cone - Volume of cylinder

[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}[/tex]

Since π and radius of the cone and cylinder are common, therefore the equation can be written as,

[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}\\\\\\\text{Volume of Object} = \pi r^2(h_{cylinder} - \dfrac13 h_{cone})[/tex]

As it is given that the radius of the figure is 2 inches, and the height of the cylinder is 8 inches while the height of the cone is 0.7 inches, therefore, the volume can be written as,

[tex]\text{Volume of Object} = \pi \times (2^2) \times (8 - \dfrac{0.7}{3} ) = 97.6\rm\ in^3[/tex]

Thus, the volume of the object is 97.6 in³.

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The answer to the question

Answers

Answer:

b

Step-by-step explanation:

4/5 pounds of cherries is 2/3 of the bucket. How many pounds of cherries can be fill with 1 bucket

Answers

Answer: 1 and 1/5 pounds

Step by step explanation:

Find a common denominator.

In this particular equation we’ll use 15. Take 4/5 and multiply that by 3/3 and you get 12/15. Then take 2/3 and multiple that by 5/5, you then get 10/15. (That step was simply so we can compare the data easier, it is a crucial step to this question). So now you know that you have 12/15 cherries in the bucket and you need get 3/15 more to fill the bucket. And if 2/3=6/15 than you would need another 1/3 so, you would add 6/15 to 12/15 and get 18/15= 1 3/15. Im not complete sure if this is correct, but I tried :(.

What is the perimeter of this rectangle

Answers

Answer:

A.  2(x2 - 1) = 2(y2 - y1)

Step-by-step explanation:

Perimeter

P = 2W + 2L

W = √(x2 - x1)^2 = x2 - 1

L = √(y2 - y1)^2 = y2 - y1

So

P = 2(x2 - 1) = 2(y2 - y1)

Answer is A.

2(x2 - 1) = 2(y2 - y1)

Answer:

24 units

Step-by-step explanation:

To obtain the dimensions of this rectangle, count the number of blocks in each direction x and y.  I count 7 blocks in the x-direction and 5 in the y-direction.  Thus, the perimeter, P, is P = 2W + 2L, which here equals:

P = 2(5) + 2(7) = 24 units

732,178 + 167 - 542,137

Answers

Answer:

190,208

Step-by-step explanation:

732,178 + 167 = 732,345

732,345 - 542,137 = 190,208

Question : 732,178 + 167 - 542,137

Answer : 190208

Step-by-step explanation :

732,178 + 167 = 732345

732345 -  542,137 = 190208

Hope this helps :)

Have a great day !

5INGH

witch expression is equivalent to 2.8k - 8.4?

A. 0.07 ( 4K -12 )
B. 0.7 ( 4K - 12)
C. 5.6K
D. -5.6K

Answers

The correct answer is B

We can simply solve to see if it is correct.

Apply the distributive property.

.7*4k-.7*12

2.8k-8.4

This matches the example given in the question.

Hope this helps!

Answer:

B

It can not be c or d because you can't combine unlike factors. It is not a because 0.07 * 4K is not 2.8K

Angle 3 and angle 4 are supplementary angles. Angle 3 is 88°. What is the measure of angle 4?

Answers

180-88=92 becuase supplementary angles add up to 180 and 88 plus 92 equal 180

angle 4=92

Answer:

92 degrees

Step-by-step explanation:

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The diameter of a circle is 6 units what is the radius of the circle

Answers

The radius is 3.

Because the diameter is 3•2=6

Hope this helps.

Answer:

3

Step-by-step explanation:

The diameter of the circle is 2 times the radius

d = 2r

6 = 2r

Divide each side by 2

6/2 =2r/2

3=r

The radius is 3

What is the value of x given that figure ADCB
is an isosceles trapezoid?

A: 6
B: 4
C: 1.5
D: 2.4​

Answers

Answer:

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC          Properties of parallel lines.

DC = DC               A line is equal to itself

DBA = CAB           Property of parallel lines.

AC = DB                Parts of Congruent triangles are congruent

3x + 15 = 7x - 9     Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x          Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x                  Divide by 4

24/4 = 4x/4

x = 6

The value of x given that figure ADCB is an isosceles trapezoid is 6.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

AC=3x+15 BD=7x-9

Now,

In an isosceles trapezoid, the diagonals are congruent. Hence, we can set AC equal to BD and solve for x: 3x + 15 = 7x - 9. Subtracting 3x from both sides, we get: 15 = 4x - 9. Adding 9 to both sides, we get: 24 = 4x. Dividing both sides by 4, we get: x = 6.

Therefore, by algebra the answer will be 6.

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What are the coordinates of the vertex of the parabola?

y=3/4x^2−6x+15

Answers

Answer:

The vertex is the point (4,3)

Step-by-step explanation:

we have

[tex]y=\frac{3}{4}x^{2}-6x+15[/tex]

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]y-15=\frac{3}{4}x^{2}-6x[/tex]

Factor the leading coefficient

[tex]y-15=\frac{3}{4}(x^{2}-8x)[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]y-15+12=\frac{3}{4}(x^{2}-8x+16)[/tex]

[tex]y-3=\frac{3}{4}(x^{2}-8x+16)[/tex]

Rewrite as perfect squares

[tex]y-3=\frac{3}{4}(x-4)^{2}[/tex]

[tex]y=\frac{3}{4}(x-4)^{2}+3[/tex] ----> equation in vertex form

The vertex is the point (4,3)

would someone help me with this problem

Answers

hey buddy how's it going?

PLEASE HELP!

A researcher wants to know the opinions of people in a state have about filling out surveys. The researcher asks the first 30 people who volunteer to take a survey, "Do you think surveys are a useful took for gathering information?"

Describe the population.
EX: If a school reporter surveys every 5th student who walks in the building, to describe the population, you would say that the population consists of students.

Answers

The population consists of volunteers in a certain state.

The problem mentions that volunteers took the survey, as well that the survey is meant to find the opinions of people in a certain state.

Someone please help me out with this question

Answers

Answer:

4 and 5

Step-by-step explanation:

The mode is the value or values which occur most in the data set.

Here 4 occurs 3 times and 5 occurs 3 times, while 7 and 8 only occur once.

Hence there are 2 modes, that is 4 and 5

4 and 5

That’s your answer

Which point is an x-intercept of the quadratic function f(x)= (x-8)(x+9)?

A. (0,8)
B. (0,-8)
C. (9,0)
D. (-9,0)

Answers

Answer:D

Step-by-step explanation:

-9+9=0

The scatter plot below shows the ages and heights of a varsity basketball team. Each dot represents one player. What is the total number of 17-year olds whose height is 74 inches or less?



A. 0
B. 1
C. 2
D. 3

Answers

There is 1 17-year-old player on the varsity basketball team whose height is 74 inches or less. The correct option is B.

In a scatter plot, each dot represents one player, with the x-axis typically representing age and the y-axis representing height. By examining the data points corresponding to 17-year-olds, we find only one dot where the height is 74 inches or less.

This analysis involves visually inspecting the scatter plot and identifying the specific data points that satisfy the criteria mentioned in the question. The correct answer, therefore, reflects the count of such data points, and in this case, it is one.

Answer:

2

Step-by-step explanation:

IF YOU LOOK AT THE CHART, YOU WILL SEE THATTHE NUMBER OF 17 YEAR OLDS THAT ARE 74 INCHES AND UNDER ARE 2

What is 755 divided by 5

Answers

Answer:

151

Step-by-step explanation:

Answer:

755 divided by 5 would be 151

find a polynomial with zeros at x=2,x=-1 and x=0

Answers

Answer:

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

Step-by-step explanation:

If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.

The factors of the given polynomial are;

x - 2

x + 1

x

Multiplying the first two factors;

(x-2)(x+1) = x^2 + x -2x -2

              = x^2 -x -2

We finally multiply this result by x to obtain our polynomial;

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

      = x^3 - x^2 -2x

which is a cubic polynomial since it has 3 roots.

Answer:

f(x) = x³ - x² - 2x

Step-by-step explanation:

given a polynomial with zeros x = a, x = b, x = c

Then the factors are (x - a), (x - b) and (x - c)

and the polynomial is the product of the factors, that is

f(x) = k(x - a)(x - b)(x - c) ← where k is a multiplier

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

Here the zeros are x = 2, x = - 1 and x = 0, thus the factors are

(x - 2), (x + 1) and (x - 0) , thus

y = kx(x - 2)(x + 1) ← let k = 1 and expand factors

 = x(x² - x - 2) = x³ - x² - 2x

Hence a possible polynomial is

f(x) = x³ - x² - 2x

I need to find the letters

Answers

Answer:

w = 21

x = 13

y = -11

z = -16

Step-by-step explanation:

Matrix subtraction is simply subtracting "corresponding" values e.g. row 1 column 1 value of one matrix and row 1 column 1 value of another matrix, and so on...

Thus, w = 17 - (-4) = 17 + 4 = 21

x = 12 - (-1) = 12 + 1 = 13

y = -3 -8 = -11

z = -2 -14 = -16

These are the values of w, x, y and z , respectively.

Jessica purchased some suede shoes during the Leather Emporium's Semi-Annual Clearance Sale. If Jessica paid $45.00 for the shoes and the original price is $60.00, how much of a discount did she receive? A. 75% B. 25% C. 35% D. 20%

Answers

Answer:

Option A is correct.

Step-by-step explanation:

In this question the sale price and the original price of the shoe purchased is given. We need to find the amount of discount Jessica has received for purchasing shoes on sale.

Sale Price = $45.00

Original Price = $60.00

Discount she received=?

Discount received = Sale Price/Original Price

                               = 45/60

                               = 0.75

Converting it into percentage:

Discount received = 0.75 * 100

                              = 75%

So, Option A is correct.

Final answer:

Jessica received a 25% discount on the suede shoes she purchased during the Leather Emporium's Semi-Annual Clearance Sale.

Explanation:

The subject of this question is discount percent. It is inferred from the question that Jessica purchased shoes worth $60.00 at a reduced price of $45.00. To compute the discount she got, we need to subtract the sale price from the original price, and then divide that result by the original price, and multiply it by 100 to get it in percentile form.

In this case, the discount received is calculated as (($60 - $45)/$60) * 100 = 25%. So, the correct answer to the question 'If Jessica paid $45.00 for the shoes originally priced at $60.00, how much of a discount did she receive?' is B. 25%.

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the speed limit on the highway is 60 miles per hour. Mr.Erikson is driving at 53 miles per hour. Write and solve an inequality to find how much faster Mr. Erikson can drive while still obeying the speed limit​

Answers

[tex]53 + x \leq 60[/tex]

53 is what he's driving at, x is how much faster he can go, 60 is the speed limit.

If we solve it, we can see that Mr.Erikson can go 7 miles per hour faster.

BRAINLIEST please
Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C. Both Alec and Avis drew triangles, as shown below, to calculate the slopes:

A graph shows numbers from 0 to 18 on the x axis at increments of 2 and the numbers 0 to 6 on the y axis at increments of 1. A line AC is drawn that joins the ordered pairs 0, 0 and 18, 6.The ordered pair 6, 2 is labeled as B. A right triangle is drawn with AB as hypotenuse and height 2 units. Another right triangle is drawn with BC as the hypotenuse and height 4 units.

Which statement is correct about the slopes calculated by Alec and Avis if both calculated the slopes accurately?

Both calculated the slope as 3.
Both calculated the slope as 1 over 3.
Alec calculated the slope as 1 over 3 and Avis calculated it as 3.
Alec calculated the slope as 3 and Avis calculated it as1 over 3.

Answers

The answer is B . Please mark as brainliest :)

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C.

If a line passing through two points then the slope of the line is

[tex]slope=\frac{y_2-y_1}{x_2-x_1}=\frac{Rise}{Run}[/tex]

The coordinates of A and B are A(0,0) and B(6,2). The slope of line AB is

[tex]m_1=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The coordinates of B and C are B(6,2) and C(18,6). The slope of line AB is

[tex]m_2=\frac{6-2}{18-6}=\frac{4}{12}=\frac{1}{3}[/tex]

[tex]m_1=m_2[/tex]

Both Alec and Avis calculated the slope as 1/3. Therefore the correct option is 2.

4x+y=25
x- 3y=16

Simultaneous equation

Answers

you change the y to have it y=3x+16 and same with the other one i think

10 POINTS ARE AWARDED! :(
WILL GIVE BRAINLIEST FOR BEST EXPLANATIONS!

CAN SOMEONE PLEASE SHOW ME HOW TO SOLVE INDICES PROBLEMS AND SHOW ME SOLUTIONS TO SOME OF THEM? I REALLY AM STRUGGLING AT THESE INDICES PROBLEMS AND NEED HELP ASAP! ;-;​

Answers

Answer:

Step-by-step explanation:

To solve indices problems you need to know the laws of indices.

The laws will guide you in answering any problem related to indices, these laws are for a ≠ 0

law 1

aᵇ * aⁿ = aᵇ⁺ⁿ

example 5³ * 5⁵ = 5³⁺⁵= 5⁸

law 2

aᵇ / aⁿ = aᵇ⁻ⁿ

example 7⁵/ 7³ = 7⁵⁻³ = 7²

law 3

(aᵇ)ⁿ = aᵇⁿ

example (5³)⁴ = 5³ * 5⁴ = 5¹²

law 4

a⁰ = 1

example 8⁰ = 1

law 5

a⁻ⁿ = 1/aⁿ

example 7⁻² = 1/7² = 1/49

law 6

a^¹/ₙ = ⁿ√a

example 27^¹/₃ = ∛27 = 3

law 7

a^ᵇ/ₙ = (ⁿ√a)ᵇ = ⁿ√aᵇ

example 8^²/₃ = (∛8)² = (2)² = 4

What is the exponential regression equation to best fit the data? Round each value in your equation to two decimal places.
x y
0 14
1 23
2 30
3 58
4 137
5 310

Answers

Answer:

[tex]y=11.5466(1.8484)^x[/tex]

Step-by-step explanation:

Given :

x       y

0      14  

1       23  

2      30  

3      58  

4     137  

5     310

To Find: What is the exponential regression equation to best fit the data?

Solution:

General form of exponential regression equation : [tex]y=ab^x[/tex]

So, using calculator

Regression Equation:  [tex]y=11.5466(1.8484)^x[/tex]

Hence  the exponential regression equation to best fit the data is  [tex]y=11.5466(1.8484)^x[/tex]

Answer:

I have the correct answer for you people on the quiz

Step-by-step explanation:

Type4/6 in the simplest form

Answers

Answer:

2/3

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

4 ÷ 2 = 2

6 ÷ 2 = 3

Answer:

2/3

Step-by-step explanation:

4/6 reduces to 2/3.

A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find the probibility that.......​

Answers

First find the probability of each color being drawn.

We need to find the total number of marbles first.

4 + 3 + 6 = 13

So everything will be over 13.

Probability of a white marble being drawn --> [tex]\frac{4}{13}[/tex]

Probability of a blue marble being drawn --> [tex]\frac{3}{13}[/tex]

Probability of a red marble being drawn --> [tex]\frac{6}{13}[/tex]

Now to find the probabilities of more than one being drawn, we can multiply.

Part a :

[tex]\frac{6}{13}*\frac{6}{13}=\frac{36}{169}[/tex]

Part b :

[tex]\frac{3}{13}*\frac{3}{13}=\frac{9}{169}[/tex]

Part c :

[tex]\frac{6}{13}*\frac{3}{13}=\frac{18}{169}[/tex]

Part d :

[tex]\frac{7}{13}*\frac{7}{13}=\frac{49}{169}[/tex]

Final answer:

The probability of drawing a marble of a specific color remains the same after each draw when a marble is replaced in the bag. For a bag of 13 marbles, the probability of drawing a blue marble twice in a row is 3/13 for each draw, assuming replacement after the first draw.

Explanation:

The question asks to calculate the probability of certain outcomes when drawing marbles from a bag with replacement. Considering a bag with a total of 13 marbles (4 white, 3 blue, and 6 red), the probability of drawing a marble of a specific color is calculated by dividing the number of marbles of that color by the total number of marbles in the bag. Since each marble is replaced after it is drawn, the probabilities for the second draw remain the same as the first.

For example, the probability of drawing a blue marble is 3 out of 13. If we replace the marble and draw again, the probability of drawing a blue marble for the second time is still 3 out of 13. The events are independent, and the probabilities do not change after each draw because of the replacement.

Please help asap!!! Asap!!!!

Answers

Answer:

Step-by-step explanation:

I'll do them you arrange.

x +  (x - 1) > 5

If you start with 3 you will see that the answer is that the left equals the right. So 4 is the smallest number x can have

3 + (3 - 1)>5

6 - 1 = 5 not something greater than 5

4 + (4 - 1) > 5

8 - 1 > 5

7 > 5 which is true.

Answer 4

5x - 3x > 9

2x > 9          x must equal 5

2*5 > 9

10 > 9

Answer 5

6x - 14 > 3       add 14 to both sides.

6x - 14+14>3+14

6x > 17            The answer to equality is just about 3. So three is the answer

6*3 > 17

18 > 17

Answer 3

2x - 1 > 0           Add 1 to both sides.

2x > 1                 1 is the answer

2*1 > 1

2 > 1

Answer 1

So all you need do is place them in order. The last one goes first and then the second last one.

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