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muminat
3 years ago
9

On Monday, Daniel and Emily decided to see how fast they could sprint 400 meters. They asked their friend Ben to time them with

a stopwatch.
After 4.53 seconds, Ben agreed to time the runners. Daniel sprinted first and ran 400 meters in 64.18 seconds. When it was Emily's turn, she sped off and completed the run in 61.06 seconds.
How much faster was Emily than Daniel in seconds?
Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0
64.18 - 61.06 = 3.12
Emily was 3.12 seconds faster than Daniel.
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Use the equation of the circle centered at the origin and
Serggg [28]

Answer:

Step-by-step explanation:

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2

If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:

(0-0)^2+(5-0)^2=r^2 and

0^2+5^2=r^2 so

r^2=25  Our circle's equation is

x^2+y^2=25

Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:

4^2+4^2=25

Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because

4^2+4^2>25

If the inequality < were true then the point would lie inside.

5 0
3 years ago
Find the amount to be paid at the end of 3years in each case. a) principal =1,200 at12% p.a​
Viktor [21]

Answer:

$1632

Step-by-step explanation:

Given data

Principal= $1200

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Time= 3 years

The simple interest expression is given as

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substitute

A=1200(1+0.12*3)

A=1200(1+0.36)

A=1200*1.36

A=$1632

Hence the amount is $1632

4 0
3 years ago
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arsen [322]

(0,2) is your answer

Explanation

5 0
2 years ago
How to solve:<br> 8(2)-4<br>________<br>8÷4 ?
MissTica
So the first thing you do is dove the equations. Let's do the numerator equation. 8(2)-4 is simply saying 8•2-4 and i don't know if u learned this in class yet but you do multiplication and division before addition and subtraction so 8•2=16-4=12 so now 12 is our numerator. Now for the denominator, 8/4=2 so 2 is our denominator. We have 12/2 but it can be simplified to 6 because 6 goes into 12 twice and u cans check this by doing 6•2=12
Hope this helps m8 :))
6 0
3 years ago
Read 2 more answers
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