AB = 20 cm, m∠A = 30°, and m∠C = 45°. Express the number of centimeters in the length of BC in simplest radical form.

Answers

Answer 1

Answer:

Step-by-step explanation:

x/Sin30 = 20/sin45             multiply both sides by sin30

x = 20*sin30 / sin45

sin30 = 1/2

sin45 = 0.7071

x = 20*1/2 / 0.7071

x = 10 / 0.7071

x = 10 * sqrt(2)


Related Questions

URGENT HELP NOW PLEASE QUICKK!!!!

Answers

Answer:

(2,-2)

Step-by-step explanation:

Its just (-7+9 , 1-3)

Answer:

P' = (2,-2)

Step-by-step explanation:

P = (-7,1)

T(x,y) = (x + 9, y - 3)

(-7 + 9,1 - 3) = (2,-2)

These tables of values represent continuous functions. In which table do the values represent an exponential function?​

Answers

Answer:

c

Step-by-step explanation:

An exponential function is a function where the number is raised to a constant power

exponential function is usually in the form : f(x) = [tex]a^{x}[/tex]

a is positive and not equal to 1

x is a real number

to determine which option is an exponential function, determine which of the options have a common ratio

Option A :

28/7 = 4

49 / 28 = 1.75

option C

12 / 4 = 3

36 /12 = 3

the correct answer is C

Y=2/7 -7 y=-x+2 What is the solution for this system of equations?​

Answers

Answer:

(61/7, -47/7)

Step-by-step explanation:

Given: y=2/7 -7

           y=-x+2

Rewrite the top equation ( y=2/7 -7

y = -47/7

y = -x + 2

Because both equations are equal to y, we can rewrite it again.

-47/7 = -x + 2

Add x to both sides

x + (-47/7) = 2

Add 47/7 to both sides.

x = 47/7 + 2/1

x = 61/7

As stated in the beginning, y is equal to -47/7

Hope you understand!

Triangle Angle-Sum Theorem

Answers

Answer:

answer is C , 123

Step-by-step explanation:

angle 1 = sum of the interior opposite Angles

1 = 60 + 63

1 = 123

please help
thank you!
have a nice day!

Answers

Answer:

From left to right:

The first one is 2

The second one is 1/2

The third one is 2

The fourth one is 1

Step-by-step explanation:

Explain and help me with these pls and tyty ( solving using the substitution method )

Answers

Answer:

I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these

Hi can i please get help on this question
Find the volume of this sphere.
Round to the nearest tenth.
16 ft
Formulas for Spheres

[? ] ft
Enter

Answers

Answer:

2144

formula us v = 3/4 × pi × half of the diameter (radius)

Kala’s family is shopping for a large screen TV. The TV they decided on has a retail price of $1,000 at four stores. The state sales tax is 5%. Each store is offering a different sales promotion, as listed in the table.

Store
Promotional Offer
A
$80 rebate
B
10% discount on price
C
Store pays all sales tax
D
$40 rebate with store paying half of sales tax


Which store has the best deal?
store A
store B
store C
store D

Answers

Answer:

B-10% discount on price

Step-by-step explanation:

A - $1050 - 80 = $970

B - $900 + $45 = $945

C - $1000

D - $1025 - $985

Answer:

store b

Step-by-step explanation:

can someone please help me with my math assignment??? really need the answer today. And also please don't answer this if you didn't know or for just points​

Answers

Answer:

it cost 80 dollars

Step-by-step explanation:

cost per bag for X brand =25 $

cost per bag for y brand = 20$

minimize Z=(25X +20 y)

further formulate the problem

the given constraints are

2x + y equal 12

2x + 9y equal 36

2x + 3y equal 24

well on the graph given plot of the constraints

the corner points are

(0;0)

(6;0)

(0;4)

(9;2.5)

minimum z occurs at (0:4)

value of Z(minimum cost)=80$

The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P).

Circles O and P overlap, and circle P also overlaps with circle E.

Which is represented by Ø?

Answers

Answer:

Null set

Step-by-step explanation:

Odd(0)

Even (E)

Prime (P)

Answer:

Its A since the other person didnt say it

Step-by-step explanation:

Please help ASAP! D,:

What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.


Answers:


14 units × 4 units

16 units × 8 units

24 units × 14 units

64 units × 4 units

Answers

16 units x 8 units. That’s the answer

When Owen bought a remote-control helicopter, he agreed to pay a 9% shipping and handling charge. If Owen paid $4.86 in shipping and handling, how much must the helicopter have cost?

Answers

Answer:

The helicopter costs 54 dollars and 9% of 54 is 4.86.

Step-by-step explanation:

9% of what number = 4.86

... is equivalent to:

9% × ? = 4.86

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

- Percent (%) means 'out of one hundred'-

(100 × 4.86) ÷ 9 =

486 ÷ 9 =

54

Which of the following equations is used to find the value of c?

Answers

Answer:

D. [tex]a^{2} + b^{2} = c^{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

a squared plus b squared equals c squared (d) . This formula is used to find a specific side of a triangle.

there are d boys in the class this is two more than four times the number of girls (x) how many girls are there in the class?

Answers

Answer:

X=(d - 2)/4 is the answer of your question

A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec determine the rocket’s maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. graph if possible also

Answers

Answer:

Step-by-step explanation:

The easiest way to solve this is with calculus, believe it or not. The position function is

[tex]s(t)=-16t^2+64t[/tex]. The first derivative of this is the velocity function:

v(t) = -32t + 64. From physics, we know that at the max height of an object's path, the velocity is equal to 0, so setting this velocity equation equal to 0 and solving for time, will tell us the time it took to get to the max height (which we don't know yet, but we will in a bit):

0 = -32t + 64 and

-64 = -32t so

t = 2 seconds. It takes 2 seconds to reach a max height. Plugging that 2 in for t in the position function will tell you the max height that corresponds to this time:

[tex]s(2)=-16(2)^2+64(2)[/tex] and

s(2) = 64 feet.

So the max height is 64 feet and it is reached at 2 seconds after launching.

Also from physics we know that at halfway through a parabolic path, which is also the max height, we are halfway through time-wise as well. That means that if it takes 2 seconds to reach the max height from the ground, it will take another 2 seconds to fall to the ground.

So the total time the rocket is in the air is 4 seconds: 2 seconds to reach the max height and another 2 to fall back down.

Answer:

Step-by-step explanation:

Helpppppppppppppppppp

Answers

Answer:

x = -7

Step-by-step explanation:

We have

PQ = (x+14)

QR = (x+12)

PR = 12

We can see that, PQ+QR = PR

So,

x+14+x+12 = 12

Solving for x.

2x = -14

x = -7

So, the value of x is equal to -7.

• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form

Answers

Answer:

5 3/5

Step-by-step explanation:

3 1/2 * 1 3/5

Change to  improper fractions

(2*3+1)/2  * (5*1+3)/5

7/2 * 8/5

56/10

Change back to a mixed number

50/10 +6/10

5 +3/5

5 3/5

18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate

Answers

Answer:

7/(6 + x) = 3/(6 - x)

Step-by-step explanation:

The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph

The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream

Let x represent the rate of the canoe, we have;

7/(v + x) = 3/(v - x)

Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;

7/(6 + x) = 3/(6 - x).

Solve: 12 p/2

What is p?

Answers

Answer:

24

Step-by-step explanation:

p/2 = 12.

To leave the p alone, multiply 2 from both sides.

p = 24

Need help ASAP !!!!!!

Answers

answer:

to test whether agraph is linear

4.2.4 practice: Modeling: Slope intercept equation of a line

Answers

Given:

Modeling: Slope intercept equation of a line

To find:

The slope intercept equation of a line.

Solution:

The slope intercept equation of a line is defined as:

[tex]y=mx+b[/tex]

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

It means the line intersects the y-axis at (0,b).

For example: The slope of a line is 2 and its y-intercept is 1, then the slope intercept of the line is:

[tex]y=2x+1[/tex]

Therefore, the slope intercept form of a line is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Find the measure of the indicated angle

Answers

Answer:

[tex]given\Longrightarrow AB=AC[/tex]

[tex]\angle \;C=\angle \:B=60\ [isosceles ~triangle][/tex]

[tex]\angle~A+\angle~B+\angle~C=180[/tex]

[tex]x+60+60=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

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

HOPE IT HELPS

HAVE A GREAT DAY!!

f) 1 5/2 +8x4 =
alluda :(

Answers

Answer:

35.5

Step-by-step explanation:

1 5/2 + (8*4)= 35.5

(8*4)= 32

32+1 5/2

1 5/2=3 1/2

32+3 1/3

35.5 or 35 1/2

what is the slope of the line shown below?

Answers

Answer:

m = 2/5

Step-by-step explanation:

Hi sweetie!
In order to find the slope you must get two points off the graph

Two points will be: (25, 5) & (0, -5)

Then use the Slope-Formula to identify the slope of the line

m = slope
m = y2 - y1/x2 - x1
m = (-5) - (5)/ (0) - (25)
m = -10/-25
m = 10/25
m = 2/5

The slope will be 2/5

Multiple choice please help!!

Answers

3 and 4

Step-by-step explanation:

y=5x

y=5(0)

y=0

y=5x

y=5(10)

y=50

y=5x

y=5(51)

y=255

y=5x

y=5(400)

y=2000

A circle has a circumference of 8, It has an arc of length start fraction, 32, divided by, 5, end fraction. What is the central angle of the arc, in degrees?

Answers

Answer:

The central angle of the arc is 288 degrees.

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that The circumference of the circle subtend a central angle of 360 degrees

so using a proportion

Find out the central angle for an arc of length 32/5

Solve the system of equations.
5x – 4y = -10
y = 2 x – 5
x =
y =

Answers

Answer:

6x2+3y2=12,x+y=2,2x-y=-1x+y=4,x-y=2

Step-by-step explanation:

I just know.

Answer:

Step-by-step explanation:

5x – 4y = -10

y = 2 x – 5

Rearrage the equation:

5x – 4y = -10 (1)

-2 x +y =  5.  (2)

pluging variable y equation2 in 1

5x - 4•(2x-5) = -10

 -3x = -30

Solve equation [1] for the variable  x  

3x = 30

x = 10

x = 10

y = 2x-5

Use the  x  value to solve for  y  

y = 2(10)-5 = 15

x= 10

y= 15

use the diagram to compute the perimeter and area of the triangle.​

Answers

Answer:

The area is 22.5 units

The perimeter is 24.3 units

Step-by-step explanation:

The formula for the area of a triangle is A=bh(1/2)

So, base*height (5*9) is 45. Divide that by 2, and you get 22.5.

To find the perimeter, it looks like the triangle is a right triangle. To solve for that, use the Pythagorean theorem formula: a2 + b2 = c2.

5^2+9^2=c^2

25+81=106=c^2

Find the square root of 106

10.2956301

If your teacher usually asks to round, round.

I'll just round to the tenths place. 10.3

Add all the sides: 5+9+10.3

You get 24.3

Answer:

perimeter= 24.29

area=22.5

Step-by-step explanation:

a^2+b^2=c^2

5^2+9^2=106

106^(1/2)=10.29

perimeter= sum of all sides

""= 5+9+10.29

""=22.29

area= base × height ÷ 2

""= (5×9)÷2

""=22.5

There is the photo and the question
please show the working. ​

Answers

Final answer: solve for the the dividend and the divisor. Then divide and you should have the answer of 560

Please help me w the answer

Answers

Answer:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

[tex]\frac{()}{(x-4)(x-5)}[/tex]

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled

[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

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