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4 years ago

40 degree, 3x, and 4x solve for x

Mathematics

1 answer:

Alex73 [517]4 years ago

8 0

Answer:

The value of x would be 20

Step-by-step explanation:

To solve this triangle, we need to first note that all triangles have 180 degrees. So we can add these all together and set equal to 180.

40 + 3x + 4x = 180

40 + 7x = 180

7x = 140

x = 20

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A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba

maria [59]

Answer:

16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

(wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

for (0, 16): 16·350 = 5600

for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

4 0

4 years ago

Draw pictures to show two ways to buy 276 markers

irakobra [83]

100 circles and another 100 circles and 76 circles.

Draw in real life it will work.

Another way 2 hundreds 7 tens and 6 ones

3 0

3 years ago

Read 2 more answers

The teacher passed out math books. The length is 10 inches and the width is 8 inches. What is the perimeter of each book?

loris [4]

Books are rectangles so that means that opposite sides are equal so if one side is 10 inches then so is the opposite side. same for the 8. the perimeter is the amount around the rectangle so you must add all sides together to find it so

10in+10in+8in+8in= 36in

8 0

3 years ago

What is the volume of the composite figure shown? (Use 3.14 for π.)

Nimfa-mama [501]

$The\ volume\ of\ the\ cone:V_1=\frac{1}{3}\pi r^2 H\\(r-a\ radius;\ H-height)\\------------------\\r=7ft;\ H=7ft\\\\V_1=\frac{1}{3}\pi\cdot7^2\cdot7=\frac{1}{3}\pi\cdot343=\frac{343}{3}\pi\ (ft^2)\\-------------------\\The\ volume\ of\ the\ cylinder:V_2=\pi r^2 H\\(r-a\ radius;\ H-height)\\-------------------\\r=7ft;\ H=6ft\\\\V_2=\pi\cdot7^2\cdot6=294\pi\ (ft^3)\\------------------------\\The\ volume\ of\ the\ composite\ figure: V_F=V_1+V_2$

$V_F=\frac{343}{3}\pi+294\pi=\frac{343}{3}\pi+\frac{294\cdot3}{3}\pi=\frac{343}{3}\pi+\frac{882}{3}\pi=\boxed{\frac{1225}{3}\pi\ (ft^3)}\\\\\approx\frac{1225}{3}\cdot3.14}=\frac{3846.5}{3}\approx\boxed{1,282.17\ (ft^3)}\leftarrow answer$

7 0

3 years ago

Which of the following options have the same value as 2% of 90?

mote1985 [20]

B and E are the correct answers, as 2/100 is the same thing as 0.02.

7 0

3 years ago

Read 2 more answers