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4 years ago

Three times a number plus twice another is 10, while their sum is 10, Find the numbers

1 answer:

5 0

$3a+2b=10 \\\\ a+b=10 \\\\ \boxed{a=10-b} \\\\ 3(10-b)+2b=10 \\\\ 30-3b+b=10 \\\\ -b=10-30 \\\\ -b=-20 \\\\ \boxed{b=20} \\\\ a=10-20 \\\\ \boxed{a=-10}$

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What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final

coldgirl [10]

Answer:

$59.19 ft^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7.2\ ft$

$\pi =3.14$

substitute

$A=(3.14)(7.2)^{2}$

$A=162.78\ ft^2$

step 2

we know that

The area of a circle subtends a central angle of 2π radians

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

$\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2$

7 0

4 years ago

Help me please!! Geometry is my worse subject

Lerok [7]

Answer:

72 meters squared

Step-by-step explanation:

ABC or FED

(4 x 6)/2

FED + ACDF + ABC

18 + 36 + 18

A = 72

4 0

3 years ago

The thied-grade class is going on a field trip by bus to the museum.The bus leaves the school at 9:45 A.M. The bus ride takes 47

erica [24]

10:32 A:M in 15 minutes it will be 10:00 and then 32 minutes remaining

5 0

3 years ago

Read 2 more answers

A truck can be rented from Company A for $140 a day plus $0.80 per mile. Company B charges $80 a day plus $0.90 per mile to

natta225 [31]

Answer:

600 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 140 + 0.80x

Company B: 80 + 0.90x

Set up an equation:

140 + 0.80x = 80 + 0.90x

Isolate variable x:

60 + 0.80x = 0.90x

60 = 0.10x

600 = x

Check your work:

140 + 0.80(600) = 80 + 0.90(600)

140 + 480 = 80 + 540

620 = 620

Correct!

8 0

3 years ago

What is the slope of (3,-20),(5,8)

fomenos

The equation for slope is y² - y
 x² - x

So it would be: 8 - (-20) or 8 + 20
 5 - 3 5 - 3

28
2

Then, you have to reduce it, divide both by two.

14
1

Since it is over 1, then it is just the numerator.

Your final is:
Slope = 14

4 0

3 years ago