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3 years ago

Verbal expression to algebraic expression

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer:

${a}^{4} \div {b}^{5}$

(Quotient means dividing the numbers)

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PLZ HELP WILL GIVE BRAINLIEST!!!!!!!!

Nimfa-mama [501]

C is the best one I'm pretty sure it makes the most sense

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3 years ago

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The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 p

weqwewe [10]

A=90m^2

Cost=RS.7200

I hope that helps

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3 years ago

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What number is 35 percent of 20

Fynjy0 [20]

Steps:
1. Do a proportion
X/20=35/100
2. Do 35 times 20 which equals 700
3. Do 700 divided by 100
4. Your answer is
7

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3 years ago

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A zipline is constructed over a ravine as shown in the diagram at the right. What is the horizontal distance from the bottom of

Katyanochek1 [597]

Answer: X= 284.04

To solve for x, you must first find the missing angle in the left corner. I will name it "< Y" (Angle Y)

Sin50/250 = SinY/60

Set up your problem, then cross multiply.

60(Sin50)= 250(Sin Y)

60(Sin50)/250= Sin Y

After cross multiplying, you should be left with this. You then cancel out 250 by dividing it on both sides to get Sin Y by itself.

Sin Y = 0.183

Y= Sin-1 x 0.183

This is what it solves out to.

Now you cancel out Sin on both sides, and it should look like the bottom problem.

Y= 10.5

This is now your answer to plug into the problem needed to solve for X.

Now because you have 2 out of 3 angles, you can solve for the missing angle that lays opposite to x. ( in SOHCAHTOA you need the OPPOSITE and the HYPOTENUSE. The Hypotenuse is originally give, but we had to do extra solving to find the Opposite's degree.)

Because degree's in a triangle add to 180, we will add 50 degrees + 10.5 degrees to get 60.5 degrees. Now subtract 60.5 from the full 180 degrees and we get 119.5 degrees as the missing number that lays opposite from X. Now we can solve for X.

(Sin 119.5)/x = (Sin 50)/250

Set up your final problem as so and cross multiply.

X(Sin 50) = 250(Sin 119.5)

X = 250(Sin119.5)/(Sin50)

After cross multiplying, the problem should look like the one at the top. Cancel out Sin 50 to get X by itself by dividing both sides by Sin 50, then solve for X.

Step-by-step explanation:

8 0

3 years ago

1. A rancher wants to build a rectangular pen, using one side of her barn for one side of the pen, and using 200m of fencing for

bezimeni [28]

Answer:

100m by 50m.

Step-by-step explanation:

Let the dimension of the rectangular pen be x and y

Area, A(x,y)=xy

Let the side opposite her barn = x

Since she wants to fence only three side

Perimeter = x+2y

Length of Fencing Available = 200m

Therefore: $x+2y=200 \implies x=200-2y$

We want to maximize the area of the pen, A(x,y).

Substituting x=200-2y into A(x,y)=xy

$A(y)=y(200-2y)\\A(y)=200y-2y^2$

To maximize A(y), we find its derivative and solve for the critical points.

$A'(y)=200-4y\\$Setting $A'(y)=0\\200-4y=0\\200=4y\\y=50$

To ensure that this is a maximum, we use the second derivative test.

$A''(y)=-4$

This is negative and thus, y=50 is a maximum point.

Recall:

x=200-2y

x=200-2(50)

x=200-100

x=100m

Therefore, the dimensions of the pen that has the largest area are 100m by 50m.

4 0

3 years ago

Verbal expression to algebraic expression ​

Verbal expression to algebraic expression