In the figure, AC = 15 ft, m∠ABC = 60°, m∠ADC = 45°, and m∠AEC = 30°. Find each of the following measures. Show your work or explain your reasoning.

In The Figure, AC = 15 Ft, MABC = 60, MADC = 45, And MAEC = 30. Find Each Of The Following Measures.

Answers

Answer 1

Answer:

a) BC = 8.66 feet

b) AD = 21.2134 feet

c) EC = 25.9785 feet

Step-by-step explanation:

a)

To find the length of BC, we just need to use the tangent relation of the angle ABC, where the opposite side is the length of AC and the adjacent side is the length of BC:

tangent(60) = AC / BC

1.7321 = 15 / BC

BC = 15 / 1.7321 = 8.66 feet

b)

To find the length of AD, we just need to use the sine relation of the angle ADC, where the opposite side is the length of AC and the hypotenusa is the length of AD:

sine(45) = AC / AD

0.7071 = 15 / AD

AD = 15 / 0.7071 = 21.2134 feet

c)

Similarly to the procedure in letter a), to find the length of EC, we just need to use the tangent relation of the angle AEC, where the opposite side is the length of AC and the adjacent side is the length of EC:

tangent(30) = AC / EC

0.5774 = 15 / EC

EC = 15 / 0.5774 = 25.9785 feet


Related Questions

when a trend line is drawn on a scatter plot, there are four points above the trend line. about how many points should be below the trend line?

a. 0
b. 2
c. 4
d. 8​

Answers

the answer is C. 4

Answer:4

Step-by-step explanation:

в та
If B = 49°13' and b - 10 find a
a. 4.6
b. 8.6
C.
d.
5.4
6.5

Answers

Answer:

A

Step-by-step explanation:

Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account.
a CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

d

Step-by-step explanation:

Answer:

d.  Checking account, savings account, money market account, CD

clarissa has 3 pints of ice tea that she divides into 1/2-pint servings. how Many 1/2 -pints servings does she have?

Answers

Answer:

6

Step-by-step explanation:

1 pint of tea will produce 2 half pints

So since there are 3 pints of tea it will produce 6 half pints of tea

Hello! I really need help with this problem!

Answers

Answer: No, yes, yes, no, yes, no, yes

Step-by-step explanation: When you graph the two functions together you can determine the verity of the differnt statements and the relation between the functions such as when and where they will collide, x and y intercepts, etc

Answer:

e

Step-by-step explanation:

can someone help please?

Answers

Answer: 19

Step-by-step explanation:

YO Gang i need yo help pleaseeeeee!!
1. What is 5/6 of an hour?
2. What is 2/3 of an hour?
3. What is 0.25 of an hour?

Answers

5/6: 50 minutes
2/3: 40 minutes
0.25: 15 minutes

Answer:

5/6 of an hour is 50 minutes.

2/3 of an hour is 40 minutes.

0.25 of an hour is 15 minutes.

Solve 14x + 1 = 36.
Round to the nearest ten-thousandth.

Answers

Answer:

x≈ 3.2056

Step-by-step explanation:

Set both sides by log.  Then, solve for x.

1. 14^(x + 1) = 36

(x + 1)log(14) = log(36)

x + 1 = log(36)/log(14) . . . Divide both sides by log(14)

x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.

x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.

Note that the second problem is similar  to the first.

2. 12^(y - 2) = 20

(y - 2)log(12) = log(20)

y - 2 = log(20)/log(12)

y = log(20)/log(12) + 2

y ≈ 3.2056

Answer:

X=2.5

Step-by-step explanation:

14x +1 =36

14x + 1 =36

      - 1 = 36

14x = 35

14x / 2 = 35 / 2

x = 2.5


Enter the value of the exponential expression 5^0

Answers

Answer:

1

Step-by-step explanation:

whenever something is to the power of 0, it equals 1

The value of the exponential expression of 5^0 is 1

Find the radius of a circle with area equal to 153.86 square feet.
R = ?

Answers

Answer:

7 feet

Step-by-step explanation:

The area of a circle can be found using:

a=3.14*r^2

We know that the area is 153.86 square feet, so we can substitute 153.86 in for a.

153.86=3.14*r^2

Now, we have to solve for r. To do this, we need to get r by itself. First, divide both sides by 3.14

153.86/3.14=3.14*r^2/3.14

153.86/3.14=r^2

49=r^2

Now, r is being squared. The opposite of squared is the square root. So, take the square root of both sides .

√49=√r^2

√49=r

7=r

The radius is 7 feet

The radius of the circle with an area of 153.86 square feet is approximately 7 feet.

How to determine the radius of a circle with area equal to 153.86 square feet.

To find the radius of a circle given its area, you can use the formula:

Area = π * r^2

In this case, we are given the area as 153.86 square feet.

153.86 = π * r^2

To solve for the radius (r), we need to isolate it. Divide both sides of the equation by π:

153.86 / π = r^2

Now, take the square root of both sides to find r:

r = √(153.86 / π)

Using a calculator or approximating the value of π as 3.14, we can calculate:

r ≈ √(153.86 / 3.14) ≈ √49.0401 ≈ 7

Therefore, the radius of the circle with an area of 153.86 square feet is approximately 7 feet.

Learn more about radius at https://brainly.com/question/27696929

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Write the word sentence as an equation. Then solve.


The difference between a number p

and 6 is −14.

Answers

Answer:

p - 6  = -14

p = -8

If someone confuses the order,  p might be 20,  But here I am going to choose p= -8

Step-by-step explanation:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Answer:

The difference between a number p

and 6 is −14.

The difference between a number p and 6  =  -14

I replace "is" with an equal sign

p - 6  = -14

so

p = 6 - 14

p = -8

it can be confused as  6 - p = -14,    p = 20

Step-by-step explanation:

How should the decimal point in 948.921 change to get the correct answer to 948.921 ÷ 10 to the power of 4?

move it 4 places to the left

move it 4 places to the right

move it 5 places to the left

move it 5 places to the right

Answers

Answer:

move it 4 places to the left

Step-by-step explanation:

10 to 4th power is basically 10000 so 948.921 divided by 10000 so its obvious it will not move to the right, making the number bigger.

Move it 4 places to the left

Red box weighs 50 pounds, blue box weighs 60 pounds, and yellow box weighs 115 pounds. What is the average weight in pounds?

Answers

the answer is 75 because 50+60+115=225 divided by 3 is 75

Answer: 75

Step-by-step explanation:

Add the three factors and divide by three.

what is f^7 . f^1 please help​

Answers

Answer:

is f^8

Step-by-step explanation:

Ben needs to mix 1.5 cups of lemonade concentrate with 4 cups or water to make lemonade. He has 6 cups of concentrate. How much water does he need?

Answers

Answer:

24

Step-by-step explanation:

To get your answer, you need to multiply 1.5 and 6.

1.5 x 6 = 9

Then you multiply 4 and 6.

4 x 6 = 24

Which is your final answer.

I hope this helps you! Good Luck!

Identify the equation of the function. y=sqrt x-1+3

Answers

Answer: A

Step-by-step explanation:

Edg

A cylinder with height 9 inches and radius 6 inches. What is the exact volume of the cylinder? Cylinder V=Bh V = 54 pi inches cubed V = 108 pi inches cubed V = 324 pi inches cubed V = 486 pi inches cubed

Answers

Answer:

V=324 pi inches cubed

Step-by-step explanation:

The formula for the volume of a cylinder is πr²h

π(6)²(9)

π(324)

Answer:

c : 324 pi in cubed. on edge 2020

Step-by-step explanation:

Can you please help me

Answers

Answer:

B 6/13 times 5/12 equals 5/26

Step-by-step explanation:

if the total marbles are 13, then 13 has to be the denominator

they said that 2 orange marbles are selected

then it is 6/13 times 5/13

Hopes this helps

Answer:

I think it is C

Step-by-step explanation:

I am right

Given: A = 1 −1 −2 3 B = 1 5 8 −8 C = 1 2 3 4 Solve: AX + B = C X =

Answers

Answer:

-5 3, -5 6

Step-by-step explanation:

just did it

Answer:

1st row: [-5  3]      2nd row: [-5  6]

Step-by-step explanation:

Edge 2020

What is the measure of an angle whose sine is√3/2 ? 60 45 30
please I need entire explanation, and how do I use my calculator to fin the answer.

Answers

Answer:

60

Step-by-step explanation:

sin(theta) = sqrt(3)/2

On the calculator:

Press shift

Press sin

(It will show sin^-1)

Then enter sqrt(3)/2

Press =

It will give you an output of 60

Step-by-step explanation:

Step 1:  Find the answer

To find sine, that means we need to find the y-value where it equals √3/2.

If you know the unit circle, you know that the long side is √3/2 and the short side is 1/2.  So... in order to have the long side to be a y-value, that means that we need to have a long vertical triangle.  The angle that will fit this will be 60 degrees.

On you calculator, you should have a sin and you just type in something like this:  sin(60) and it should give you √3/2.

Answer:  Option A, 60

$5 PAYPAL + BRAINLIEST TO ANSWER THS

1) Please Rewrite this quadratic equation to
Standard Form: 3x^2=2x +5
2) Using your answer from 1): Assign values of a, b and c based on the
Standard Form of a Quadratic Equation
3) Find the value of the discriminant by substituting a,b and c from 2) and evaluating **Discriminant: ( )^2-4( )( ) = ?? **
4) Based on the discriminant, what type of solutions can we expect for this quadratic equation? Use complete sentences and proper grammar
IF ANSWERED PROPERLY I WILL MESSAGE YOU ASKING FOR YOUR PAYPAL EMAILING ADDRESS THANK YOU!

Answers

Answer:

Quadratic Equation:

[tex]3x^2=2x +5[/tex]

[tex]\text{Standard Form: } 3x^2-2x-5=0[/tex]

From the standard form of a Quadratic Function, we get:

[tex]a=3,\:b=-2,\:c=-5[/tex]

Discriminant:

[tex]\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)[/tex]

[tex]\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5[/tex]

[tex]\Delta=64[/tex]

From the discriminant, we conclude that the equation will have two real solutions.

State that:

[tex]b^2-4ac <0:\text{The equation has no real solutions, the solutions are complex}[/tex]

[tex]b^2-4ac =0:\text{The equation has 1 real solution}[/tex]

[tex]b^2-4ac >0:\text{The equation has 2 real solutions}[/tex]

By the way, solving the equation given:

[tex]$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$[/tex]

[tex]$x=\frac{2\pm\sqrt{64}}{6}$[/tex]

[tex]$x=\frac{2\pm8}{6}$[/tex]

[tex]$x_{1} =\frac{10}{6}=\frac{5}{3} $[/tex]

[tex]$x_{2}=\frac{-6}{6} =-1$[/tex]

Drag each tile to the correct box. Not all tiles will be used.
Calculate the interest earned on each simple interest account given the original principal, annual interest rate, and length of time the account
was held. Match each amount to the corresponding account description.
$124.74
$99.66
$105.60
$126.72
$143.50
$106.60
$1,100 at 3.2% for 3 years
$990 at 3.15% for 4 years
$1,025 at 2.8% for 5 years​

Answers

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years  -> $124.74

$1,025 at 2.8% for 5 years​ -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

Answer:

Picture below

Step-by-step explanation:

What is the set of all x values called? *

Answers

The domain of a relation is the set of all the x-terms of the relation.

If an x-term appears twice in a relation, only list in once in the domain.

Domain

All the values that can go into a relation or function (input) are called domains

The range is the set of all second elements of ordered pairs (y-coordinates)

Evaluate each expression

Use the values a = 5 and b = 3

3(a+b)

(a+b)-7

4(2a+b)

6( a- b )+5

( a + b) ( a -b )

(2a + b ) (2a - b)

3 ( b + a )

4 (b + 2a

Answers

Answer:

Answers are all the way to the right

Step-by-step explanation:

3(a+b)      3(5 + 3)         3(8)                             24

(a+b)-7    (5 + 3) - 7      8 - 7                                1

4(2a+b)   4(2*5 + 3)      4(10 + 3)     4(13)           52

6( a- b )+5    6(5 - 3) + 5     6(2) + 5    12 + 5      17

( a + b) ( a -b )    (5 + 3)(5 - 3)    8(2)                    16

(2a + b ) (2a - b)   (2*5 + 3)(2*5 - 3)     (10 + 3)(10-3)    13(7)      91

3 ( b + a )       3(3 + 5)       3(8)                             24

4 (b + 2a)      4(3 + 2*5)        4(3 + 10)       4(13)      52

If these answers are correct, please make me Brainliest!

The answers are in this order:

24

1

52

17

16

91

24

52


If you need explanation, let me know

Number five Please I really need it

Answers

I think the answer is y=6x

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

Answers

Answer:

[tex]\sqrt{41}[/tex]

Step-by-step explanation:

[tex]\sqrt{(3-(-1))^2+(3-(-2))^2}=\sqrt{16+25}=\sqrt{41}[/tex]

Hope this helps!

an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior citizens. how much would a senior citizen need to pay for the umbrella during the sale? Round you answer to the nearest cent.

Answers

Answer:

75

Step-by-step explanation:

Answer:

5.52

Step-by-step explanation:

this is because if you do

6 * 0.08 it would equal 0.48

then subtract 0.48 from 6

Answer quick please.

Answers

Answer:

V = (1/2) mile per (5/10) hour, multiply both mile and hour by 2, => V = 1 mile per 1 hour (1 mile/hour)

Hope this helps!

:)

Answer:

1

Step-by-step explanation:

Please answer for a chance to be entered in the iphone 11 pro giveaway!!!
Sponsered by Beyonce Carter !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5.8<x<6.0 I think

Step-by-step explanation:

why?

After a 35% discount, a book costs 11.21, what is the normal undiscounted price of the book?

Answers

Answer:

$17.25

Step-by-step explanation:

First, we know that $11.21 is 65% of the original price, so divide 11.21 by 65 to find 1% of the original price

Then just multply your result of .17246 by 100 to get 17.246, which rounded to 17.25

Final answer:

The normal undiscounted price of the book is $17.24.

Explanation:

To find the normal undiscounted price of the book, we need to calculate the original price before the discount. Let's assume the original price of the book is 'x'. After a 35% discount, the book costs $11.21. We can set up the equation:

x - 0.35x = 11.21

Simplifying the equation, we get:

0.65x = 11.21

Dividing both sides by 0.65, we find:

x = 11.21 / 0.65

Using a calculator, we get:

x ≈ $17.24

Therefore, the normal undiscounted price of the book is $17.24.

Learn more about calculating undiscounted price here:

https://brainly.com/question/16322266

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