Find the measure of angle C

Answer:

Step-by-step explanation:

New Note 2

Given coordinates:

B(1,2)

E(-5,3)

A(-6,3)

Part A, isosceles triangle

Need to find lengths of sides

BE^2 = ((-5-1)^2+(3-2)^2) = 36+1 = 37

BA^2 = ((-6-1)^2+(-3-2)^2) = 49+25 = 74

EA^2 = ((-6-(-5))^2+(-3-3)^2) = 1+ 36 = 37

Since BE^2 = EA^2, BE=EA, or triangle BEA is isosceles, with vertex at E.

Part B, find point R so that BEAR is a sqare

Need to show that the vertex angle, BEA is a right angle.

BA is diagonal and E is 90° if

BE^2 + EA^2 = BA^2

or

37+37 = 74

Hence angle BEA is right anglesd, and the two legs are eaual with length sqrt(37)

To find point R, we find the translation from point E to point B, i.e. from the vertex to end of one of the legs.

EB = B - E = (1-(-5))-(2-3) = <6,-1>

To find point R, apply this translation to the end of the other leg, i.e. point A,

R=A(-6,-3) + <6,-1>=R(0,-4)

Check:

RE (diagonal)^2 = ((0-(-5))^2+(-4-3)^2)  = 25+49 = 74 checks

RB^2 = ((0-1))^2+(-4-2)^2)  = 1+36 = 37 checks

RA^2 = ((0--(-6))^2+(-4-(-3))^2)  = 36+1 = 37 checks

Answer:

the answer is to multliply it by -4

Answer:   1/8

1 goes in the green blank space

8 goes in the gray blank space

========================================================

Explanation:

H = heads

T = tails

HHH means we get 3 heads in a row, HHT means heads twice then tails the third time, and so on.

Here are the 8 ways to flip three coins (note: 2^3 = 2*2*2 = 8).

We see that HHH only comes up once out of 8 total times. Therefore, the probability of getting HHH is 1/8

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

Another way to see the answer is note that P(H) = 1/2 is the probability of getting heads on a single coin flip

Then with two coin flips, we have P(HH) = P(H)*P(H) = (1/2)*(1/2) = 1/4. Each coin flip is independent of one another.

And finally, P(HHH) = P(H)*P(H)*P(H) = (1/2)*(1/2)*(1/2) = 1/8

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

Answer:

x around 53.7

Step-by-step explanation:

We use cosine^-1 to solve for x

In the calculator put in cos^-1 (16/27)

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

Answer:

£910

Step-by-step explanation:

You have to divide the amount of acres by the overall price.

Hope this helped

Answer:

m equals 4

Step-by-step explanation:

m represents the slope of the line.

The line equation is y = mx + b, which means that m = 4 and b = 0

Step-by-step explanation:

y = mx +b

m - the slope; b- y-intercept

therefore;

y = 3x - 4

m = 6; b = -4

y = 5x - 3

m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:

y = 6x - 4

y-intercept (0; -4)

for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3

y-intercept (0; -3)

for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

Answer:

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A=b/sin B=c/sin C

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

2,778 in³

Step-by-step explanation:

Volume cube

v = 18³

v = 5,832

Volume sphere

v = (4/3)π9³

v = 3,053.6280592893

Volume space

v = 5,832 - 3,053.6280592893

v = 2,778.3719407107

2,778 in³

Answer:

Step-by-step explanation:

We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume

V = 18³ so

V = 5832 inches cubed. Now for the sphere.

The formula for the volume of a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 for π.

[tex]V=\frac{4}{3}(3.1415)(9)^3[/tex] which gives us

V = 3053.538

Subtracting the volume of the sphere from the volume of the cube:

V = 5832 - 3053.538

V = 2778.462 inches cubed

Answe

I LIKE YR CUT G!

Step-by-step explanation:

Answer:

I think it is 7 squares.

Step-by-step explanation:

As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.

Answer:

6 divided by 30 is equal to 0.2.  

Step-by-step explanation:

You make the fraction into 6/30, you reduce it to 1/5 which then you do 1 divided by 5 which also gets you to 0.2.

Answer:

Step-by-step explanation:

Um angle T and R don't exist on this triangle. Only sides and Angles A B C.

But remember Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

S o/h    C a/h    T o/a

Answer: b

Step-by-step explanation:

Answer:

A. Yes, [tex]12\cdot 32> 360[/tex]

B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.

Step-by-step explanation:

A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.

B. Answer contains explanation.

Answer:

x ≤ 24

Step-by-step explanation:

x/4 ≤ 6

Multiply each side by 4

x/4 *4 ≤ 6*4

x ≤ 24

Answer:

[tex]x\leq 24[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:

2,033-993.50= 1039.50/74.25= 14

Step-by-step explanation:

not sure the exact equation but p would be 14 and you'd do something similar to that shown above

Answer:

2)  $300

Step-by-step explanation:

I used the the following two points to find slope:

(9,400) and (8,350) to get a slope of 50

therefore, f(x) = 50x

f(6) = 50(6)

f(6) = 300

Answer:A

Step-by-step explanation:  divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4

Answer:

500cm^3

Step-by-step explanation:

Can be divided intI a square and cuboid

Volume of square= Length^4

Volume= 5^3

V=125cm^3

Volume of cuboid= L× B × H

Volume= 15× 5× 5

Volume=375cm^3

375+125= 500

Answer:

its upside down turn it around

Step-by-step explanation:

Answer: C and D

Step-by-step explanation:

Answer:

A and B are both credible on the graph.

Answer:

Step-by-step explanation:

(4b^2+3)(4b^2-3)

since it is the expanded form of formula a^2-b^2=(a+b)(a-b) we can write,

=(4b^2)^2-(3)^3

=16b^4-9

Answer:

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Step-by-step explanation:

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