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Lapatulllka [165]
3 years ago
14

Help me out PLEASE. begging.

Mathematics
1 answer:
spayn [35]3 years ago
5 0
The ladder will reach 122 ft up the building.

The 120 feet of the extended ladder, since it will be leaning against the building, will be the hypotenuse of the right triangle.  x will be the height from the top of the fire truck to the point where the ladder hits the building.  75° is the angle the ladder will make with the fire truck. 

We have an angle, the side opposite the angle, and the hypotenuse.  Opposite/hypotenuse is the ratio for sine, so we set up our equation as such:

x/120 = sin 75

Multiply both sides by 120:
120(x/120) = 120*sin 75
x = 120*sin 75
x ≈116

However, this is just from the top of the fire truck to the point where the ladder hits the building.  We still add the 6 feet from the top of the truck to the ground.  116+6 = 122.
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The original price of an item plus a sales tax of 8.5%
dusya [7]
It depends on What the original item is.
7 0
3 years ago
Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?
worty [1.4K]

Answer:

4

Step-by-step explanation:

(x+y+z)(xy+xz+yz)=18 Equation 1

x^2(y+z)+y^2(x+z)+z^2(x+y)=6 Equation 2

What is the value of xyz where each variable represents a real number?

Let's expand equation 1:

(x+y+z)(xy+xz+yz)=18

x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18

Simplify each term if can:

x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have x^2 and if I factored x^2 from first two terms I would have x^2(y+z) which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18

Factor the variable squared terms out of each binomial pairing:

x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

6+xyz+xyz+xyz=18

Combine like terms:

6+3xyz=18

Subtract 6 on both sides:

3xyz=12

Divide both sides by 3:

xyz=4

4 0
3 years ago
What is. C(3a+b) and what does it equal to
11Alexandr11 [23.1K]
It equals 3a(c)+b(c)
4 0
4 years ago
I need help with number 2 ASAP!!!!! The pictures is number 2.
mars1129 [50]

Answer:

a=22.5\ units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

In this problem

If polygon RSUPE is similar to polygon KQUIC

then

\frac{RS}{KQ}=\frac{RE}{KC}

substitutes the values and solve for a

\frac{a+2}{14}=\frac{17.5}{10}\\ \\10a+20=14*17.5\\ \\10a=245-20\\ \\a=225/10\\ \\a=22.5\ units

5 0
3 years ago
After spending $30 on a dress, Mary had 3/8 of her money left. How much money did she have at first?
BaLLatris [955]
The answer is that she had 48.  Set it up as an equation with x as the amount of money she started with.  x - 30 = 3/8x.  That says, in words, "the amount of money she started with minus 30 for the dress left her with 3/8 of the money she started with.  Solve for x by adding 30 to both sides and subtracting 3/8 from 8/8x (8/8 = 1).  8/8 - 3/8 = 5/8, so 5/8x = 30, multiply both sides by 8 to get 5x=240 and x = 48.
3 0
4 years ago
Read 2 more answers
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