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GarryVolchara [31]

4 years ago

11

What is the speed of a runner who completes the 800 m race in one minute and 40 seconds?

1 answer:

skelet666 [1.2K]4 years ago

7 0

Answer: 8 m/s

First let’s convert the time to seconds. There are 69 seconds in a minute so 1 minute and 40 seconds is 60 +40 second which totals to 100 seconds
Now to get the speed in meters per second we divide the total meters run by the total seconds
So the speed will be 800m/100s = 8m/s

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You have to answer 2 questions for the exam. There are 7 essays to choose from. How many different groups of 2 essays could you

Alex777 [14]

Answer:

21

Step-by-step explanation:

Since the order of the essays isn't important, the number of ways you can choose 2 from 7 is:

₇C₂ = 7! / (2! (7−2)!)

₇C₂ = 7! / (2! 5!)

₇C₂ = 7×6×5! / (2×1 × 5!)

₇C₂ = 7×6 / 2

₇C₂ = 21

6 0

3 years ago

The product of two consecutive even numbers is 440. What are the two numbers?

NikAS [45]

Answer:

20&22

Step-by-step explanation:

let the numbers be X and X+2.

By question, X×(X+2)=440

or, X^2+2X=440

or, X^2+2X-440=0

or, X^2+(22-20)X-440=0

or, X^2+22X-20X-440=0

or, X(X+22)-20(X+22)=0

or, (X+22)(X-20)=0

Either,X-20=0 Or, X+22=0

•°•X=20(true) •°• X=-22(false)

•°•X=20

•°•X+2=20+2=22

•°• The two consecutive even numbers are 20 and 22.

3 0

3 years ago

Please guys help me pls :(

Greeley [361]

Answer:hope someone helps you!

Step-by-step explanation:

3 0

3 years ago

Two circles of radius 1 are centered at $(4,0)$ and $(-4,0).$ How many circles are tangent to both of the given circles and also

galben [10]

Answer:

1 circle

Step-by-step explanation:

Given two circles (red circles on the diagram).

There are two tangent circles to both of the given circles (blue circles on the diagram), and only one of them is passing through the point (0,5).

Let's check it.

The equations of the tangent circles are

$x^2+y^2=9\ [\text{Smaller tangent circle}]\\ \\x^2+y^2=25\ [\text{Larger tangent circle}]$

Check whether point (0,5) lies on the smaller circle:

$0^2 +5^2 =0+25=25\neq 9$

No

Check whether point (0,5) lies on the larger circle:

$0^2 +5^2 =0+25=25$

Yes

<u>Answer: </u>1 circle

7 0

3 years ago

Determine if the statement is always, sometimes or never true.

Romashka-Z-Leto [24]

Let

x--------> the measure of the adjacent interior angle

y--------> the measure of an exterior angle at the vertex of a polygon

we know that

The measure of the adjacent interior angle and the measure of an exterior angle at the vertex of a polygon are supplementary angles

so

$x+y=180$ °

<u>Examples</u>

case 1)

<u>In a square</u>

$x=90$ °

so

$y=180-90=90$ °

$x=y$

In this case

The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle

case 2)

<u>an equilateral triangle</u>

$x=60$ °

so

$y=180-60=120$ °

$x\neq y$

In this case

The measure of an exterior angle at the vertex of a polygon is not equals the measure of the adjacent interior angle

therefore

<u>the answer is</u>

sometimes

4 0

3 years ago

Read 2 more answers