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Ivenika [448]
3 years ago
7

Find (f+g)(x) if f(x)=3x+10x and g(x)=5x-3

Mathematics
1 answer:
kaheart [24]3 years ago
6 0
This is the concept of algebra. Given that f(x)=3x+10x and g(x)=5x-3, then:
(f+g)(x)
=f(x)+g(x)
=3x+10x+5x-3
=18x-3
the answer is B. (f+g)(x)=(18x-3)
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The art teacher has 30 boxes of crayons with 16 cans in each box she gives the students 10 of the boxes to use explain how to fi
Mamont248 [21]
I'm going to assume you meant crayon instead of can:

First step is to find how many boxes she/he has left.

30 - 10 = 20 

So the teacher has 20 boxes left;

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3 years ago
Determine whether the forces in the pair are pulling at right angles to each other.
snow_tiger [21]
Given:
right triangle
a = 2.9
c = 4.2

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missing value of b.

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4 0
3 years ago
Look at the image below plz correct answers Surface area of cones 15 points
monitta

Answer:

A\approx 282.7\ m^2

Step-by-step explanation:

1. Approach

The easiest method to solve this problem is to use the Pythagorean theorem to find the height of the cone. Then one can substitute the values given and found on the cone into the formula to find the surface area in order to solve for the surface area of the given cone.

2. Height of the cone

Imagine drawing a line from the tip of the cone down to the center of the base. This line will form a right angle with the base, thus, a right triangle is formed between the line, the radius (the distance from the center to the circumference or outer edge on a circle) of the base, and the incline of the cone. The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula is as follows:

a^2+b^2=c^2

Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle, and (c) is the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown, or rather the height of the cone:

a^2+b^2=c^2

a^2+5^2=13^2

Simplify,

a^2+5^2=13^2

a^2+25=169

Inverse operations,

a^2+25=169

a^2=144

a=12

h=12

3. Find the surface area of the cone.

The following formula can be used to find the surface area of a cone:

A=\pi r(r+\sqrt{h^2+r^2})

Where (\pi) represents the numerical value (3.1415...), (r) represents the radius of the base, and (h) represents the height of the cone. Substitute the given values into the formula and solve for the surface area:

A=\pi r(r+\sqrt{h^2+r^2})

A=\pi 5(5+\sqrt{12^2+5^2})

Simplify,

A=\pi 5(5+\sqrt{12^2+5^2})

A=\pi 5(5+\sqrt{144+25})

A=\pi 5(5+\sqrt{169})

A=\pi 5(5+13)

A=\pi 5(18)

A=\pi 90

A\approx 282.743

3 0
3 years ago
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