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kow [346]
3 years ago
12

What is the area of a circle with a radius of 13 millimeters? (Use 3.14 for Pi.)

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0
The area of a circle with radius of 13 millimeters is A≈530.93A=πr2=π·132≈530.92916
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a line is perpendicular to y=-4x-2 and intersects the point (0,9). what is the equation for this perpendicular line?
AysviL [449]

Answer:

y=(1/4)x + 9      OR      y=x/4 +9

Step-by-step explanation:

Perpendicular lines have a slope/gradient of -1/n

Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.

y=(1/4)x+b

(0,9) is the y-intercept, so b = 9

y=(1/4)x + 9      OR      y=x/4 +9

3 0
3 years ago
Solve the system of equations algebraically.<br> 4x - 3y = 6<br> 6x - 5y = 6
muminat

Answer: x=6  y=6

Step-by-step explanation:

\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\

Divide both parts of the equation by 2:

y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6

3 0
1 year ago
Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car c
djverab [1.8K]
First let’s establish a few things, The first car can travel 300 miles with 20 gallons of gas, if 14 gallons of gas costs 49.49 then for ever gallon of gas Sam is paying 3 dollars and 53.5 cents. That means for 20 gallons, Sam will need around 71$ for the entire trip if he uses the first car.
8 0
2 years ago
Serena has attached a 10 inch ribbon to the corners of a frame to hang it on the wall. The frame 9 inches wide. How far above th
kherson [118]

Answer: The hook would be 2.2 inches (approximately) above the top of the frame

Step-by-step explanation: Please refer to the picture attached for further details.

The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (longest side) and AB and BC are the other two sides

5^2 = 4.5^2 + BC^2

25 = 20.25 + BC^2

Subtract 20.25 from both sides of the equation

4.75 = BC^2

Add the square root sign to both sides of the equation

2.1794 = BC

Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches

4 0
3 years ago
Miles incorrectly gave the product of 7 * 2.6 as 14 * 42 to use a place value chart or an area model to help miles understand hi
mrs_skeptik [129]
It looks like he used the distributive property. He multiplied 7*2. Then. 7*6. Then he multiplied them together. That is not how you multiply numbers

7 0
3 years ago
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