The epicenter of an earthquake is the point on Earth’s surface directly above the earthquake’s origin. A seismograph can be used to determine the distance to the epicenter of an earthquake. Seismographs are needed in three different places to locate an earthquake’s epicenter. Find the location of the earthquake’s epicenter if it is 3 miles away from (2,1) , 4 miles away from (5,-3) , and 5 miles away from (10,1)

Answer: 3×10^10m

Step-by-step explanation:

In 1 second it travels 3 ×10^8m

in 100 second it travels 3×10^10 m

Answer:

y = 64 / 7

Step-by-step explanation:

We can use Similar Triangle Theorem to find y.

The ratio of the "long leg to hypotenuse" of the large triangle is equal to the ratio of the "long leg to hypotenuse" of the medium triangle.

Therefore,

⇒ 8 : y = 7 : 8

Writing as fractions:

⇒ 8 / y = 7 / 8

Cross multiply:

⇒ 8 × 8 = 7 × y

⇒ 64 = 7y

divide both sides by 7

⇒ y = 64 / 7

Answer:

Step-by-step explanation:

8 : y = 7 : 8

8 / y = 7 / 8

8 × 8 = 7 × y

64 = 7y

y = 64 / 7

y = 9.14

Given that,

Natasha can hit a bullseye about 95% of the time

we've to find the number of throws will she

need in order for her to hit 76 bullseyes

for that, we'll divide 76 by 95%

[tex] \huge \rightarrow \: 76 \div \frac{95}{100} = \frac{76}{\frac{95}{100} } \\ [/tex]

[tex] \huge \rightarrow76 \times \frac{100}{95} [/tex]

[tex] \huge \rightarrow80[/tex]

Hence, she need 80 bullseye in order for her to hit 76 bullseyes

Answer:

Step-by-step explanation:

P(hit a bulleye) = 95% = 0.95

P(hit 2x bulleyes) = 0.95*0.95

P(hit 76x bulleyes) = 0.95^76

= 0.02

So she will hit 76 bulleyes on average every 1/0.02 = 50 times.

Total number of throws = 50 x  76

= 3800

Los 7 orangutanes comen 126 kg de frutas y verduras cada día.

Una ecuación es una expresión que muestra la relación entre dos o más variables y números.

Ya que cada orugután come 18 kg de frutas y verduras al día.

Cantidad de frutas y verduras consumidas por 7 orangutanes = 7 * 18 kg = 126 kg

Los 7 orangutanes comen 126 kg de frutas y verduras cada día.

Obtenga más información sobre la ecuación en: https://brainly.com/question/2972832

Answer:

Six.

Step-by-step explanation:

6×2.65 we can round to 6×2.5=$15 the next smallest ans is 12, 12 is double of 6 so the ans would be double (30), 30 is a lot larger than 20 so we can safely assume that 6 is correct.

Answer:

360°=3x+2x+2x+x

360°=8x

x = 45°

......

Answer:

Let c be the common factor between Jill and Kelly’s money. Then:

4n-156 / 5n-156=8/11

So:

44n-1716=40n-1248

4n=468

n=117

Jill had 4n, or $468 to begin with

Kelly had 5n, or $585 to begin with ………..

Answer:

Step-by-step explanation:

x=Jill's money

y=Kelly's money

x/y=4/5

(x-156)/(y-156)=8/11

x/y=4/5 -------->5x=4y --------->y=5x/4

cross multiply with the above proportion

11(x-156)=8(y-156)

11x-1716=8y-1248

substitute y=5x/4

11x-1716=8(5x/4)-1248

11x-1716=10x-1248

11x-10x=1716-1248

x=$468 for Jill  (answer)

x/y=4/5

468/y=4/5

multiply 4 by 117 to get 468

multiply 5 by 117 to get 585

y=$585 for Kelly (answer)   (or cross multiply to find y)

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

[tex]2\frac{1}{3}[/tex]

Step-by-step explanation:

The improper fraction was 7/3 put that into a mixed number it it 2 1/3.

Answer:

Percent error is approx. 22%

Step-by-step explanation:

So to do this you need to know the formula for percent error, which is

percent error = l measured - theoretical / theoretical l * 100%

With this just plug in 18 (real) and 14 (measured).

percent error = l 14 - 18 / 18 l * 100%

percent error = l -4 / 18 l *100%

percent error = l -2/9 l *100%

You then do absolute value because the percent error must be positive not negative! So -2/9 becomes 2/9. You then divide 2/9 to get approx. 0.22... and you muliply by 100% to get 22%.

Answer:

Scale Factor= 1:150

Step-by-step explanation:

So if 2cm on the map represents 3 meters,

you could write that as a fraction and at meters.

[tex] \frac{0.02}{3} [/tex]

which you could multiply by

[tex] \frac{50}{50} [/tex]

to get the fraction

[tex] \frac{1}{150} [/tex]

That's the scale factor 1:50

Hence, answer:

The scale factor is 1:150

y = total snow accumulated

x = hours

the ground has 0.2 inches of snow before the data starts

y = 1.5x+0.2

0 hours = x = 0, so y = 0.2 inches

after 9 hours, we predict that 13.7 inches of snow will have accumulated

y = 1.5(9)+0.2 = 13.7

Answer:

3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)

4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2

5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)

6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)

7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary

8. m∠2 = 64° ~ again, same side exterior angle theorem

Answer:

B, between 1 and 3 seconds.

Step-by-step explanation:

This is because the line is horizontal, and no changes were made, meaning she stopped walking.

Hope this helped.

Answer:

The area of the patio is 144 square inches

Step-by-step explanation:

A = l × w

A = 12 × 12

A = 144 in²

11pi/4

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

Explanation:

The angles shown add to: 120+45+30 = 195 degrees.

The remaining bit needed to get to a full 360 degree circle is 360-195 = 165 degrees, which is the measure of central angle AFD.

This means the arc AED is 165/360 of the full circle perimeter or circumference.

The fraction 165/360 reduces to 11/24 after dividing both parts by the GCF 15

So we can say that the length of arc AED is exactly 11/24 of the full circumference.

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

The length FB is 3 units (radius), so EB is 6 units (diameter)

This leads to,

C = circumference

C = pi*diameter

C = pi*6

C = 6pi

That's the full circumference, but we only want 11/24 of it to get arc AED.

arc AED = (11/24)*(full circumference)

arc AED = (11/24)*(6pi)

arc AED = 11pi/4 which is choice D

I'm assuming choice D says 11pi/4

Answer:

y=900x-1700

Step-by-step explanation:

(sorry if the explanation is long)

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,100), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=100.

Also, let's call the second point you gave, (3,1000), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=3 and y2=1000.

Now, just plug the numbers into the formula for m above, like this:

m=

1000 - 100

3 - 2

or...

m=

900

1

or...

m=900

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=900x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,100). When x of the line is 2, y of the line must be 100.

(3,1000). When x of the line is 3, y of the line must be 1000.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=900x+b. b is what we want, the 900 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,100) and (3,1000).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,100). y=mx+b or 100=900 × 2+b, or solving for b: b=100-(900)(2). b=-1700.

(3,1000). y=mx+b or 1000=900 × 3+b, or solving for b: b=1000-(900)(3). b=-1700.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,100) and (3,1000)

is

y=900x-1700

Answer:

y=900x-1700

Step-by-step explanation:

(sorry if the explanation is long)

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,100), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=100.

Also, let's call the second point you gave, (3,1000), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=3 and y2=1000.

Step-by-step explanation:

this is correct

please provide more informstion and the question that needs to be solved.

Answer:

x= 68 degrees

Step-by-step explanation:

Answer:

Lowest angle of elevation is 20.8

Step-by-step explanation:

If he is in the middle of the field, then the 100 value is split in half.

Then, you do 20-1 because of the height of the telescope.

So now, to solve:

tanx= 19/50 (opposite over adjacent)

x= tan^-1 times (19/50)

19 devided by 50= 0.38

then do 0.38 tan^-1

and round.

Therefore the answer is 20.8

Answer:

x = 14.57

explanation:

[tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

[tex]\hookrightarrow \sf cos(31)= \dfrac{x}{17}[/tex]

[tex]\hookrightarrow \sf 17*cos(31)= x[/tex]

[tex]\hookrightarrow \sf x = 14.57[/tex]

Answer:

x = 14.6 (nearest tenth)

Step-by-step explanation:

Use the cosine trig ratio:

[tex]\mathsf{\cos(\theta)=\dfrac{A}{H}}[/tex]

where:

Given:

[tex]\implies \mathsf{\cos(31)=\dfrac{x}{17}}[/tex]

[tex]\implies \mathsf{x=17\cos(31)}[/tex]

[tex]\implies \mathsf{x=14.6 \ (nearest \ tenth)}[/tex]

Answer:

B = (4, 0)

Step-by-step explanation:

We are told that  [tex]l_2[/tex]  intersects the x-axis at B.

To determine where  [tex]l_2[/tex]  intersects the x-axis, set y to zero in the [tex]l_2[/tex]  equation and solve for x:

[tex]\implies 0+x=4[/tex]

[tex]\implies x=4[/tex]

Therefore, B is (4, 0)

Answer:

(4,0)

Step-by-step explanation:

coordinate B lies on the equation y + x = 4

y = 0 and x is unknown, so putting this in the equation:

y + x = 4

0 + x = 4

x = 4

Answer:

61.5%

Step-by-step explanation:

The percent of his money that he spent on the pair of shoes is [tex]\frac{36.90}{60} \cdot 100% = 61.5%[/tex]

Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.

Answer: the bottle of apple juice is 88% water

Answer:

In explanation

Step-by-step explanation:

Ummm... could there maybe be a picture but let me see let me try to guess.

You could turn this problem into a fraction.

Is the water 10% of the apple juice=1/10

If the water was 1/3 it would=33.333%

If it were 1/4 it would be 25%

if it were 1/5 it would be 20%

If it was 75% water it would be 3/4 or 50% is half of something so like 3/6

9/18 15/30 or more.

Is there a picture I could see to help you in comment s or something i can use to answer or does one of the answers above tell you something.

Hope this helps and remember show me more of the question please so  can help you have a great day

Answer:

8 1/7 because you have to get the same denominator as the other and that would be 14. Whatever number I got for the numerator you subtract it both and you get 107/14, and that simplified is 57/7, and as a proper fraction that is 8 1/7

Answer: t=p

Step-by-step explanation:

t=P

Because if is true