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3 years ago

How many inches are in three fourths of a yard

1 answer:

3 0

The answer is 27 inches. I am 90% sure of it. It is 27 because a yard has 36 inches. So you do the rule of three. 36/4*3. 36/4 is 9. 9*3=27. I hope you pass your test! :D

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Please help me !!!!!!!!!!

maria [59]

Answer:

$EF=6$

Step-by-step explanation:

In this problem, one is given a circle with two secants (that is a line that intersects a circle at two points). One is given certain measurements, the problem asks one to find the unknown measurements.

The product of the lengths theorem gives a ratio between the lengths in the secants. Call the part of the secant that is inside the circle (inside), and the part of the secant between the exterior of the circle and the point of intersection of the secants (outside). The sum of (inside) and (outside) make up the entire secant, call this measurement (total). Remember, there are two secants, ( $secant_1$ ) and ( $secant_2$ ) in this situation. With these naming in mind, one can state the product of the length ratio as the following:

$\frac{total_1}{outside_2}=\frac{total_2}{outside_1}$

Alternatively, one can state it like the following ratio:

$\frac{inside_1+ouside_1}{outside_2}=\frac{inside_2+outside_2}{outside_1}$

Apply this ratio to the given problem, substitute the lengths of the sides of the secants in and solve for the unknown.

$\frac{EF+FG}{HG}=\frac{SH+HG}{FG}$

$\frac{2x+4}{5}=\frac{x+5}{4}$

Cross products, multiply the numerator and denominators of opposite sides of the fraction together,

$\frac{2x+4}{5}=\frac{x+5}{4}$

$4(2x+4)=5(x+5)$

Simplify,

$4(2x+4)=5(x+5)$

$8x+16=5x+25$

Inverse operations,

$8x+16=5x+25$

$3x+16=25\\3x=9\\x=3$

Substitute this value into the equation given for the measure of (EF),

$EF=2x\\x=3\\\\EF=2x\\=2(3)\\=6$

6 0

3 years ago

A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is locate

scoundrel [369]

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

8 0

3 years ago

In need of help PLEASE!!!!

ozzi

Answer:

a bc I think it's right idk really

Step-by-step explanation:

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7 0

3 years ago

Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on t

aleksandrvk [35]

It will take them approximately 3 months to pay off the balance on the credit card

<h3 /><h3>First Month</h3>

To solve this problem, we need to find the interest on 3287.90 at 14.5%

for the first month, we would have

$\frac{x}{3287.90}=\frac{14.5}{100} \\x=476.74$

Now we divide this by 12 to give the interest payable on the first month

$\frac{476.75}{12}=39.73$

So we have

$(3287.90+39.73)-1200=2127.63$

<h3>Second Month</h3>

We would do the same thing for the second month and it will give us

$(\frac{x}{2127.63}=\frac{14.5}{100})/12\\\frac{308.506}{12}=25.71$

For the second month, we have $25.71 as the interest payable

We can calculate how much would be left after the second month.

$(2127.63+25.71)-1200=953.34$

<h3 /><h3>Third Month</h3>

In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.

From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.

The balance at the end of each month are;