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3 years ago

How to quickly convert degrees to radians?

1 answer:

4 0

180 degrees is the same as $\pi$
So if you have to convert 60 degrees to radians, do it like this:
$60* \frac{ \pi }{180}$
Then you reduce between the 60 and the 180. 60 goes into itself once and into 180 3 times, so 60 degrees is the same as $\frac{ \pi }{3}$

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Jeremiah just got hired for a new job and will make $35,000 in his first year. Jeremiah was told that he can expect to get raise

trasher [3.6K]

Answer:

Jeremiah make $66,500 in his 9th year

Step-by-step explanation:

3,500*9=31,500

35,000+31,500=66,500

5 0

3 years ago

Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.

oee [108]

Okay so say that x=amount invested with 6% and y=amount invested with 9%
x+y=8,500 so > x=8500-y
6%=0.06 <span>9%=0.09</span>
0.06x +0.09y=667.5 (Substitute in x=8500-y so only numbers and y)
0.06(8500-y)+0.09y=667.5 (expand brackets)
510-0.06y+0.09y=667.5 (-510)
0.03y=117.5 (/0.03)
$3916.67=Y ->9%
X=8500-Y
x=$4583.33 ->6%

4 0

4 years ago

X²(x-3x) is a polynomial of which degree?

zloy xaker [14]

Answer:

Step-by-step explanation:

We simply start by opening up the bracket

we have this as:

x^2(x-3x) = x^3 - 3x^2

The degree is simply the highest power of x

This is 3

3 0

3 years ago

One cold day last week the ice cream store sold 1 milk shake and 3 ice cream cones for a total of $7.50. It warmed up a bit a fe

kogti [31]

Answer:

1s+3c=7.5

3s+5c=17.5

Step-by-step explanation:

You will use these two equations and solve for the shakes in the first one. S=3.75

C=1.25

3 0

3 years ago

Find the surface area of composite figure. use 3.14 for π. round to the nearest tenth

ki77a [65]

Answer:

334 in²

Step-by-step explanation:

The total surface area of the composite figure is the sum of the total area of the bottom cuboid and the lateral area of the top cuboid.

<h3>Total cuboid area</h3>

The area of a cuboid is given by the formula ...

A = 2(LW +H(L+W))

For the bottom cuboid, the area is ...

A = 2((9 in)(7 in) +(5 in)(9 in +7 in)) = 2(63 in² +5(16) in²) = 286 in²

<h3>Lateral area</h3>

The lateral area of a cuboid is the product of its perimeter and height. The perimeter is the sum of side lengths, or twice the sum of length and width.

LA = Ph = (2(l +w))h

LA = 2(5 in +3 in)(3 in) = 48 in²

<h3>Total composite area</h3>

The total surface area is the sum of the lateral area of the top cuboid and the total area of the bottom cuboid:

SA = (48 in²) +(286 in²) = 334 in²

The surface area of the composite figure is 334 square inches.

<em>Additional comment</em>

The exposed area of the bottom cuboid is its total area less the area of the very top face.

The exposed area of the top cuboid is its lateral area plus the area of the very top face.

When we add these two exposed areas together, we find the area of the very top face is both subtracted and added from the sum of the total bottom area and the lateral top area. We skipped that step of adding and subtracting, because its net effect is zero.

8 0

2 years ago