Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.

If Larry ate $L\%$ of the total amount of pizzas, what is the value of $L$?

[asy]
unitsize(0.35inch);
defaultpen(black+1);

void pie(pair ctr, real fract, int slices, string lbl){
path c = circle(ctr,1);
draw(c);
fill(c,darkblue);
path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract))..ctr+(sin(pi*fract),cos(pi*fract))..cycle);
draw(s);
fill(s,yellow);
for(int i=0;i draw((ctr+(sin(2*pi*i/slices),cos(2*pi*i/slices))--ctr),red+0.75);
};
label(lbl,ctr+(0,-1),S);
}

pie((0,0),1/10,10,"");
pie((2.5,0),6/10,10,"");
pie((5,0),2/10,10,"");
[/asy]

Step-by-step explanation:

Start by squaring both sides

cosA+sinA=[tex]\sqrt{2}[/tex]

[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]

Apply Trig identity

[tex]cos^2x+sin^2x=1[/tex]

2cosAsinA+1=2

2cosAsinA=1

Apply Trig Identity

2cosxsinx=sin(2x)

sin(2A)=1

2A=arcsin1

arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]

2A=[tex]\frac{\pi }{2}[/tex]

A=[tex]\frac{\pi }{4}[/tex]

[tex]\pi[/tex] [tex]radians=180^o[/tex]

A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]

Answer:

240 ft/min

Step-by-step explanation:

Answer:

The correct answer is 33.4516

Approximately it is 33.452

Answer:

22

Step-by-step explanation:

Answer:

y = -5/3x + 8

Step-by-step explanation:

So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.

[tex] \: \: \: \: \: \: \: \: [/tex]

[tex]x = - 1 \\ x = \: 7[/tex]

Step-by-step explanation:

[tex]2(x - 3 {)}^{2} - 32 = 0[/tex]

[tex](x - 3 {)}^{2} - 16 = 0[/tex]

[tex](x - 3 - 4) \times (x - 3 + 4) = 0[/tex]

[tex](x - 7) \times (x + 1) = 0[/tex]

[tex]x - 7 = 0 \\ x + 1 = 0[/tex]

[tex]x = 7 \\ x + 1 = 0[/tex]

[tex]x = - 1 \\ x = 7[/tex]

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

Point slope form

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

Answer:

I'm thinking is I'm not sure is is answer 0.9

Step-by-step explanation:

am not sure my answer guys because naka tulong din na man too

Answer:

y = 0.7 * 1.2^x

Step-by-step explanation:

(1, 0.84)

0.84 = ab^1

(2, 1.008)

1.008 = ab^2

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

To find b divide the second point by the first

ab^2 / ab^1 = 1.008 / 0.84

b = 1.2

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

To find a plug b = 1.2 into the first point

0.84 = a * 1.2^1

0.84 = a * 1.2

Divide both sides by 1.2

0.7 = a

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

The equation is

y = 0.7 * 1.2^x

Answer:

69 degrees

Step-by-step explanation:

Answer:

21gb

Step-by-step explanation:

did the test

Answer:

4 inches

Step-by-step explanation:

The formula is L=√((3×V)/h)

Answer:

Step-by-step explanation:

The blanks get filled in like this:

Statement 3: m∠6 +m∠4 = 180°

Reason 3: Consecutive interior angles are supplementary

Statement 4: m∠6 +8·m∠6 = 180°

Statement 5: m∠6 = 20°, m∠4 = 160°

_____

You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.

The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...

  8·m∠6 = m∠4

This is the substitution that is used in statement 4.

Simplifying that statement gives 9·m∠6 = 180°   ⇒   m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.

Answer:

34

Step-by-step explanation:

634 - 600 = 34

Answer:

A, a dilation of 2

Step-by-step explanation:

The answer is, A dilation of 2 because the image is getting dilated to a  bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.

(Pre-image is a shape before a transformation, image is after a ransformation.)

Have a great day friend! :D

Answer: b

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The shading is above the line, so it must be ≥ or >.

The line is solid, so it must be ≥.

The only choice with ≥ is the answer.

Answer: B.

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

Answer:

You can use ratio to compare the input and output

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

For each time I see x, I replaced it with 7 because I know that x is equal to 7.

I only see one x so I am only replacing that one x so instead of x + 8, I get 7 + 8 and you could split 8 into 5 + 3 and split 7 into 5 + 2.

5 plus 5 is 10. If you are having trouble adding the numbers you could put up 5 fingers first and then add one finger up one by one to still the number 10. Now that just leaves you with 3 + 2.

You could first put up 3 fingers and then add two more to get a total of 5 fingers.

At last, you could just add 10 + 5 to get 15 in total.

Hope this works you!!!

Answer:

2x-6 I think

Step-by-step explanation:

Parallel means same slope, so in the image, line PQ is connected by a line. The other point I made has a line parallel through it.

Answers:

x = 40 and y = 40

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

Explanation:

The three angles involving x add up to 180 since they form a straight line or straight angle.

3x+0.5x+x = 180

4.5x = 180

x = 180/(4.5)

x = 40

Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.

0.5x = 0.5y

x = y

40 = y

y = 40

In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.

Answer:

x1=15, x2=10, angle A=45, angle B=135

Step-by-step explanation:

1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15

2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10

since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135

Answer:

Refer to the explanation for the answer!

Step-by-step explanation:

Hello! Here is what I've found:

<ABC and <DBC in the first picture are both 30 degrees.

<ABC and <DBC in the second picture are both 10 degrees.

For m<A: It would be <A = x and <B = 3x

For m<B: It would be <A = 3x and <B = x

See the steps below: