The bases of a trapezoid are 11 meters and 14 meters .Its height is 10 meters . What is the area of the trapezoid ??

Answers

Answer 1

Answer: Given:
Bases of trapezoid : 11 meters and 14 meters
height of trapezoid : 10 meters

Area of trapezoid = (sum of bases / 2) height
A = (11m + 14m)/2 * 10m
A = 25m / 2 * 10m
A = 12.5m * 10m
A = 125m²

Answer 2

Answer: Just multiply 14×10=140×11=280. The area of the trapezoid is 280 meters

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The line with equation ax+by=20 passes through the points(-2,10) and (1,5)
find a and b

Answers

$ax+by=20 \n \n(-2,10) \n \n a*(-2)+b*10 = 20 \n \n-2a +10b = 20 \n \n (1,5)\n \n a*1+b*5 = 20 \n \n a +5b = 20$

$\begin{cases} -2a+10b =20\n a+5b =20 \ /*2\end{cases} \n \n\begin{cases} -2a+10b =20\n 2a+10b =40 \end{cases}\n--------\n 20b=60 \ / :20 \n \nb=(60)/(20) =3$

$-2a+10b=20 \n \n-2a +10*3=20 \n \n-2a +30=20\n \n-2a=20-30\n \n-2a=-10 \ /: (-2)$

$a=(10)/(2)=5\n \n\begin{cases} a= 5 \nb=3\end{cases}$

$ax+by=20\n\nfor\ (-2;\ 10)\to x=-2;\ y=10\ substitute\n\n-2a+10b=20\n\nfor\ (1;\ 5)\to x=1;\ y=5\ substitute\n\n1a+5b=20\n\n\n \left\{\begin{array}{ccc}-2a+10b=20&/:2\na+5b=20\end{array}\right$
$+\left\{\begin{array}{ccc}-a+5b=10\na+5b=20\end{array}\right\n------------\n.\ \ \ \ \ \ \ 10b=30\ \ \ \ /:10\n.\ \ \ \ \ \ \ \ b=3\n\n\left\{\begin{array}{ccc}b=3\na+5b=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na+5\cdot3=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na+15=20\end{array}\right\n\left\{\begin{array}{ccc}b=3\na=20-15\end{array}\right\n\left\{\begin{array}{ccc}b=3\na=5\end{array}\right$

$Answer:a=5\ and\ b=3\to5x+3y=20.$

Divide 36 in the ratio of 2 4 how do I divide a quantity into a ratio

Answers

Add up the 2 sides of the ratio. In a ratio of 2:4, one will get 2 shares and the other will get 4 shares. There are 2+4= 6 shares all together. The 6 shares add up to 36, so how much is each share ? It's. 36/6 = 6 in a share.<br />So the small side of the ratio gets 2 shares = 12, and the big side gets 4 shares = 24. The split is 12:24. Those numbers are in the ratio of 2:4 and they add up to 36. ====> Add the sides of the ratio to find the total number of 'shares'.

Answer:

Step-by-step explanation:

I don't know how to do order of operations with fractions ,exponents and whole numbers?

Answers

P
E
M
D
A
S

Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

I believe you multiply the fraction to make it a number, and it depends with whole nembers if you're adding/ subtracting

If you haven't learned pemdas, it's a great way to remember things.
P: parentheses
E: exponents
MD: multiplication/division (either or)
AS: addition/subtraction (either or)
Meaning you solve in that order
Ex, (1+2/4)-5^2/2
First we do the parentheses so 1+2/4
And within that we do the division before the addition
1+1/2
Then add
3/2
So it's now 3/2+5^2/2
Next is exponents so 5^2=25
Then add 3/2 and 25/2 to get 28/2, which is simplified to 14

Hope I helped :)

Can you please work this out and explain it?
☆ please work out on paper if you can☆

Answers

-- From the 1st to the 2nd column:
Fat increased by 5 grams
Calories increased by 70 = 14 more calories per each additional gram of fat.

-- From the 2nd to the 3rd column:
Fat increased by 2 grams
Calories increased by 28 = 14 more calories per each additional gram of fat.

-- From the 3rd to the 4th column:
Fat increased by 8 grams
Calories increased by 112 = 14 more calories per each additional gram of fat.

-- From the 4th to the 5th column:
Fat increased by 3 grams
Calories increased by 42 = 14 more calories per each additional gram of fat.

Each time the grams of fat increase, the calories increase by 14 calories
per additional gram. So the data represent a linear relationship, and the
rate of change is 14 calories per gram of fat.

the perimeter of a photo frame is 36 inches. The length is 2 inches greater than the width. what are the dimensions of the frame

Answers

Length = 10
Width = 8

Hope this helped! A lot of thinking went into this one!

15.60 to 11.70 percent of change

Answers

15.6 - 11.7 = 3.9

3.9 ÷ 15.6 = .25

25% of change

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