A set of 3 consecutive integers has a sum of 27. which integers are they

What is the midpoint of the line segment with endpoints (-2,-2) and (4.6)?

erma4kov [3.2K]

Answer:

Step-by-step explanation:

(-2,2) ...x1 = -2 and y1 = 2

(4,6)..x2 = 4 and y2 = 6

midpoint formula :

m = ((x1 + x2) / 2 , (y1 + y2) / 2)

m = ((-2 + 4) / 2 , (2 + 6) / 2)

m = 2/2 , 8/2

m = (1,4) <===

5 0

4 years ago

Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

At a school, 102 students play at least one sport. This is 40% of the students at the school. How many students are at the sc

viktelen [127]

To get from 40% to 100%, divide by 2 and multiply by 5.
I.e. 40/2 = 20
20 x 5 = 100%

Do the exact same for 102
102/2 = 51
51 x 5 = 255 students

5 0

3 years ago

Read 2 more answers

If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?

professor190 [17]

Answer:

1 1/2x

Step-by-step explanation:

90 minutes is 1 and 1/2 hours so I put that with the x on the end so when you get the number times it by that

4 0

3 years ago

NO LINKS AND PLEASE MAKE YOUR ANSWER SIMPLE.

Ber [7]

The student with the correct answer is Dylan who says the decimal should be placed between the 8 and 0.

This is base on the estimation that 3.01 is a two decimal place number, so the product 18.06 should also be in 2 decimal place.

<h3>How to find product of decimal number?</h3>

A decimal number is a number expressed in the decimal system (base 10).

Place value:

Ten thousand
Thousand
Hundred
Ten
ones
. decimal point
tenth
hundredths
thousandth
ten thousandth
hundred thousandth

6 × 3.01

3.01

3 = ones
. = decimal point
0 = tenth
1 = hundredth

6 × 3.01

= 18.06

Therefore, Lucas is incorrect with his answer that the decimal should be placed between the 1 and 8.