Discovery of Trigonometry: #28 What is the length of CA? *

Discovery Of Trigonometry: #28 What Is The Length Of CA? *

Answers

Answer 1

Answer:

sqrt(3)

Step-by-step explanation:

Each side (donated by small letter ) is opposite to its angle for example :

Side c is opposite to angle C which is 90

side b is opposite to angle B which is 60


Related Questions

a line has a slope of 5. it passes through the points (-5, -1) and (x, 9). what is the value of x?

Answers

A line has a slope of 5. it passes through the points (-5, -1) and (x,9) than the value of x is -3

We are going to use the fact that when a line passes through two points : [tex](x1,y1) and (x2,y2)[/tex]

the slope is given by the following formula:

[tex]slope=y2-y1/x2-x1[/tex]

In the present case, the slope is 5 and the points are (-5, -1) and (x, 9)

Hence,

[tex]5=9-(-1)/x-(-5)[/tex]

[tex]5=10/x+5\\x+5=10/5\\x+5=2\\x=-3[/tex]

Thus, the value of x is -3 when it travels between the coordinates (-5, -1) and (x, 9).

Learn more about the slope formula here:https://brainly.com/question/24092749

Solve for the area of the combined shape

Answers

Answer:

47 cm²

Step-by-step explanation:

3(9 - 4) + 8 × 4 = 15 + 32 = 47

Write an equation of a line that is perpendicular to 6x - 3y = -6 and passes
through the point (-12, 14).

Answers

I'm sorry but I didn't get that

please help me i need it

Answers

the correct answer is A

explanation:

-b+-sq b^2 - 4(a)(c)
——————————-
2(a)

NO LINKS OR FILES PLEASE. A charity fundraiser charges 779 dollars per plate. If there are 87 guests at the fundraiser, how much money did they earn?

Answers

Answer:

They would earn 67,773 dollars!! Hope this helped u!! ;)

Step-by-step explanation:

You times 779 times 87 = 67,773

Answer:

$67773

Step-by-step explanation:

Your equation would be 779 * 87 = 67773 because for each person they are going to charge 779 dollars and there are 87 people.

How many Solutions does the equation 3x -5 = -3 have ?

Answers

Answer:

One solution

Step-by-step explanation:

The only solution is x = 2/3

Answer:

3x-5=-3=19

Step-by-step explanation:

Find f(5): x2 + x + 5​

Answers

Answer:

20

Step-by-step explanation:

-5b + 35 = 85
Help pls

Answers

Answer:

-10

Step-by-step explanation:

-5b + 35 = 85

-5b = 50

-5b/-5 = 50/-5

b = -10

Answer:

B = -10

Step-by-step explanation:

-5b + 35 = 85

work is shown in picture

       

The piggy bank has 71 dimes and quarters with a
value of 12.35 dollars. How many of each coin are there

Answers

Answer:

35 Quarters and 36 Dimes

Step-by-step explanation:

d + q = 71

10 + 25 = 1235

10 x 36 = 360

25 x 35 = 875

360 + 875 = 1235

Answer:

There are 35 quarters and 36 dimes.

Step-by-step explanation

x = the number of quarters

y = the number of dimes

x + y = 71

0.25x + 0.1y = 12.35 ---> multiply this equation by 100

now...

25x + 10y = 1235

x + y = 71 ----> multiply this equation by -25

25x + 10y = 1235

-25x - 25y = -1775

[tex]\frac{-15}{-15} = \frac{-540}{-15}[/tex]

y = 36 dimes

next step

x + y = 71

x + 36 = 71

   - 36    - 36

x = 35 quarters

Select the answer with the correct number of significant figures for each calculation. 31.580 + 4.26 = 35.8 35.84 35.840

Answers

Answer:

35.84

Step-by-step explanation:

A box contains 3 plain pencils and 9 pens. A second box contains 9 color pencils and I crayon. One item from each box is chosen at random. What is the
probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.

Answers

The answer is 3/40. Because 9/12=3/4. That has to be multiplied by 1/10. That will give 3/40.

Each year, the high school guidance counselors conduct a survey to estimate the proportion of students at the school who cheat on their homework. Based on a random sample of 300 students from the high school, a 99% confidence interval for the proportion of all students at the high school who cheat on their homework is 0.052 to 0.192. Describe how untruthful answers might lead to bias in this survey. Does the stated margin of error account for this possible bias

Answers

Answer:

The stated margin of error would account for the possible bias caused by wrong answers due to the closeness of the confidence interval

Step-by-step explanation:

Random sample = 300

99% confidence interval of student who cheat : 0.052 to  0.192

The confidence interval is too close that it only contains the population parameter, this means that almost every subject in the Given population will have to be measured.

Since This is an impractical approach it will lead to untruthful answers been produced which will cause bias. hence the stated margin of error would account for the possible bias caused by wrong answers.

TEXT ANSWER
How can you use the unit price to find the cost of 10
pounds of tomatoes? Please help

Answers

To find the cost of 10 pounds of tomatoes, multiply 10 by the unit cost of tomatoes.

What is the unit cost?

The cost a business incurs to create, store, and sell one unit of a specific product is known as the unit cost. All fixed and variable production expenses are included in unit costs. Cost units are a way to measure the quantity of a good or service.

Unitary method: The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

The unitary method is used to find the unit cost of an object.

To find the cost of a unit object, multiply a by unit cost.

Given that, the unit cost of a unit pound of tomatoes.

The cost of 10 pounds of tomatoes is 10 ×  unit price of tomatoes.

To learn more about unit price, click on the below link:

https://brainly.com/question/20534957

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A=[2 3) B=(1 2) find AB
[0 8) (2 -1)

Answers

Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.

Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].

The result of matrix multiplication, AB, will also be a 2x2 matrix.

To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.

The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:

(21) + (33) = 2+9 = 11

The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:

(22) + (34) = 4+12 = 16

The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:

(41) + (53) = 4+15 = 19

The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:

(4*2)

Step-by-step explanation:

You are making a sandwich. You need lettuce, tomato, and two slices of bread to make the sandwich....
L = lettuce. T = Tomato. B = Bread. S = Sandwich
Vegetables ( Lettuce and tomato) are $2 a piece. Bread is $1 a slice.
The cost of a sandwich can be represented by the equation: {L+T+B+B = S.}
1.) Write another equation you could use to show the cost of a sandwich. (hint: add then multiply)
2.) Figure out the cost of a sandwich (Solve for S).

Answers

Answer:

[tex]1. l + t + 2b = s \\ 2 + 2 + 2(1) = 6 \\ [/tex]

the cost of sandwich is $6

Block B
0 1 2 3 4 5 6
Each dot on the dot plot represents one household on the block. The numbers represent how many mobile devices are in the
households. When comparing the data sets, which TWO statements are correct?
A)
The number of devices per household varies more on Block B
B)
The median number of devices for Block A and Block B is 5.
Each block has 35 devices.
D)
The greatest number of devices in one household is 6.
E)
The least number of devices in one household is 1

Answers

Answer:

a and d

Step-by-step explanation:

Statements the number of devices per household varies more on Block B and the least number of devices in one household is 1 are true.

What is a dot plot?

A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.

Block A:

Number of mobile devices are 15.

Greatest number of devices are 5 and the least number of device is 1.

Median is 3.

Block B:

Number of mobile devices are 15.

Greatest number of devices are 4 and the least number of device is 1.

Median is 2.

Therefore, statement A and E are correct.

Learn more about the dot plot here:

brainly.com/question/22746300.

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From a point 235 meters from the base of a cliff, the angle of elevation to the cliff top is 25 degrees. Find the height of the cliff.

please provide a diagram and step by step answers thanks

Answers

Answer:

X=110

Step-by-step explanation:

The height of the cliff is 109.58 meters.

What is Angle of Elevation?

Angle of elevation is the angle which is between a horizontal line and the line of sight which is pointed upwards.

Given that,

We get a right angled triangle ABC where A represents the base of the cliff and C is the point of the top of the hill.

B is the point which is at a distance of 235 meters from the base of a cliff.

Length of AB = 235 meters

Angle of elevation to the cliff top, ∠B = 25 degrees

AC represents the height of the cliff. Let it be x.

Using the trigonometric ratio,

tan B = AC / AB

tan 25 = x / 235

x = 235 × tan 25

  = 109.58 meters

Hence the height of the cliff is 109.58 meters.

Learn more about Angle of Elevation here :

https://brainly.com/question/21137209

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A pilot must log at least 1100 hours to fly an aircraft. Jabari logged 300 hours. How many more hours must he log to qualify

Answers

Answer: 800 more hours is required to fly an aircraft

Step-by-step explanation:

There are 14 math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?

Answers

Answer:

SEE EXPLANATION

Step-by-step explanation:

Add all amount of teachers together

14+26 = 40

14:40

Simplified: 7/20 or 7:20

Ratios are just like fractions and can usually be put in this format

Answer:

7:20

Step-by-step explanation:

14+26=40

40 equals the total amount of teachers. Since we want to do the ratio of math teachers to the total of all teachers, we had to find 40.

You get 14:20 though if you want to simplify, find to common denominator (2) and dived both sides by it.

14/2 = 7

40/2 = 20

= 7:20

(101,2,108,104,102,107,109,102) what is the best measure of center for this data set

Answers

Answer:

q02 because it is showed the most times

Rico has 1 3/4 feet of rope. He needs 3/4 foot for each craft he is making. How many crafts can he make from his rope? Solve using the standard algorithm. Write your answer in equation form.

NO links or I WILL REPORT AND HAVE YOU BANNED​

Answers

Answer:

2 crafts

Step-by-step explanation:

1 3/4 = 7/4

7/4 / 3/4 = 2.5

The question asks for whole crafts, not halves so the answer is not 3 or 2.5 but 2

a parallelogram has sides that are in the ratio of 7:5 the premeter of the parallelogram is 48 how long does the longer side

Answers

Hello there!

Answer:

14

Step-by-step explanation:

Let the smaller side is x. Then the largest side is x * 7/5.

Perimeter is equal to 2 * (x + 7/5 * x) or 48.

2 * (x + 7/5 * x) = 48

5/5 * x + 7/5 * x = 24

12/5 * x = 24

12/5 * 5/12 * x = 24 * 5/12

x = 10.

Tha larger side is 10 * 7/5 = 14.

Step-by-step explanation:

Given ,

Ratio of the sides of a parallelogram are 7:5Perimeter of a parallelogram is 48

To Find : Which side is longer

We know the formula to find the perimeter of a parallelogram is,

[tex]P = 2(a+b)[/tex]

We take 'x' to find out which side is longer

[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]

[tex]2 = x[/tex]

Side a = 7x = 7 x 2 = 14

Side b = 5x = 5 x 2 = 10

Side a [tex]\geq[/tex] Side b

Hence,  side a is longer

A company is producing picture frames as well as the glass for the front of the frames. The amount of wood required
for the frame is represented by the function W/(x), and the amount of glass is represented by the function G(x). The
frames have lengths represented by the function f(x) and widths represented by g(x).
X
2
3
4
5
W(x)=2[(f+g)(x)]
14
24
34
44
G(x) = (f-g)(x)
6
27
60
105
Which statement describes the combined functions W(x) and G(x)?
O The amount of glass required has a constant rate of change, but the amount of wood does not.
O The amount of wood required has a constant rate of change, but the amount of glass does not.
O Both the amount of wood required and the amount of glass required have a constant rate of change.
ONeither the amount of wood required nor the amount of glass required has a constant rate of change.

Answers

Answer:The combined functions W(x) and G(x) represent the amount of wood and glass required to produce a picture frame. Based on the information provided,

W(x)= 2[(f+g)(x)] and G(x) = (f-g)(x)

By looking at the values of the given table, it can be observed that the rate of change in the amount of glass required (G(x)) is not constant, it increases as x increases.

On the other hand, the rate of change in the amount of wood required (W(x)) is not constant as well, it increases as x increases too.

It's not mentioned any information about constant rate of change for f and g.

Therefore, the correct statement that describes the combined functions W(x) and G(x) is: "Neither the amount of wood required nor the amount of glass required has a constant rate of change."

It's important to mention that the problem provided does not have a unique solution, because the values for f and g are not defined so it's not possible to infer their behaviour over time.

It is only possible to infer the behaviour of the functions W(x) and G(x) given the information provided, and it is clear that the rate of change for both functions does not remain constant, but it increases as x increases.

Step-by-step explanation:

Which expression is equivalent to 4y^6+8y^4/2y^2, if y does not equal 0?
A. 2y^3+4y^2
B. 2y^4+4y^2
C. 1/2y^3+4y^2
D. 1/2y^4+4y^2​

Answers

9514 1404 393

Answer:

  The correct answer choice is marked

Step-by-step explanation:

The distributive property can be used here.

  [tex]\displaystyle \frac{4y^6+8y^4}{2y^2}=\frac{4y^6}{2y^2}+\frac{8y^4}{2y^2}=2y^{6-2}+4y^{4-2}=\boxed{2y^4+4y^2}[/tex]

4.
At Juicy Deals grocery store, 4 oranges
cost $7.00. You can buy 7 oranges
for $12.50.
Is the relationship between the number of
oranges and their price proportional?
Explained step by step please

Answers

Answer:

True

Step-by-step explanation:

Let's call

x: number of oranges

y: price

The relationship between x and y is proportional if they fulfill the following condition.

y / x = k

where,

k is a proportionality constant

Then,

6 / 4 = 15 / 10 = 1.5

Since x and y fulfill the condition, they have a relationship of proportionality.

Which of the following is equal to the expression listed below?

27 + 36

A.
9 + (3 × 4)
B.
(9 + 3)(9 + 4)
C.
9(3 + 4)
D.
(9 × 3)(9 × 4)
I really need help with this omg

Answers

Answer:

its d kkkkkkkkkkkkkkkkkkkkkk

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

x^2 - 4 = 0
4x^2 = 16

The first equation is true when x = -2 or x = 2, because substituting either of these values into the equation results in a true statement. The second equation is also true when x = -2 or x = 2, because substituting either of these values into the equation results in a true statement. The other three equations are not true when x = -2 or x = 2, because substituting these values into the equations results in false statements.


A size 8 kid's shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end
to end, then how many inches will they cover? *

Answers

Answer:

48 1/3

Step-by-step explanation:

Multiply number of kids shoes lined up (5 pairs) by inches per shoe (9 2/3"). ANSWER: 5 pair of size 8 shoes lined up will be 48 1/3 inches long

7. Find the slope and y-intercept of the line given by -6x - 18y = 20.

Answers

Answer:

Given,eqn is -6x-18y=20

or,-18y=6x+20

or,y=6x+20/-18

or,y=6x/-18 +20/-18

or,y= - X/3 -10/9

Comparing above eqn with y=mx +c,we get

m= -1/3 and y-intercept (c)=-10/9

*Mark me brainliest

Answer:

slope: -1/3  y-int: -10/9

Step-by-step explanation:

first step is to turn the equation into slope intercept form (y=mx+b)

-6x-18y=20

+6x        +6x

-18y=6x+20

divide -18 on both sides

y=-1/3x-10/9

the m is the slope, and the b is the y-intercept

M/5 + 9=11
Solve two step equations

Answers

Answer:

m=10

Step-by-step explanation:

m/5+9=11 subtract 9

m/5 = 2 multiply 5 by both sides

m = 10

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