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Svetllana [295]
3 years ago
8

Which situation represents the equation: 5x - 18 = 42

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0
The correct answer is C. She makes an amount of money per hour x, then she works five hours so 5x, she then spends 18 on pizza so 5x-18, and then has 42 left over. 5x-18=42
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7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
Can someone please explain how to do this.
lutik1710 [3]
Set the to equal:

x^2 - 4x+4 = 2x-4
 solve for X

subtract 2x from each side:
x^2 -6x + 4 = -4

subtract 4 from each side:

x^2 -6x = -8

add 8 to both sides:

x^2 -6x +8 = 0

factor the polynomial:

x = 4 and x = 2

using the line equation replace x with 2 and 4 and solve for y

y = 2(2) - 4 = 0
y = 2(4)-4 = 4

so the 2 points the line  crosses the curve is (2,0) and (4,4)

using those 2 points you can calculate the length:
 distance = sqrt((x2-x1)^2 +(y2-y1)^2

distance = sqrt( (4-2)^2 + (4-0)^2)

distance = sqrt (2^2 + 4^2)
 distance = sqrt (4+16)
= sqrt 20 
= 2 sqrt(5)  EXACT LENGTH


4 0
3 years ago
A teacher asks a student to find 54 of a number. Instead, the student finds 45 of the number. Her answer is 36 less than the cor
Marrrta [24]
45 of a number refers to 180, and 54 refers to 216. So 100 of a number is 400 and 1 of a number is 4. If 54x - 45x = 36, just plug in 4 and double check: 54(4) - 45(4) = 36 or 216 - 180 = 36, which is true.
5 0
3 years ago
I need help with math!!! time is running out!!! will mark brainliest!!!
marin [14]

These are the elements of the matrix

Elements of the first row are h11 h12 h13, of the second row h21 h22 h23.

Than we can conclude that element h23 worth 75.

Good luck!!!

3 0
3 years ago
Read 2 more answers
I need help with this math problem
Anika [276]

She did 12 questions, and needs to do 36.


36 / 12 = 3, so it will take 3 times as long.

1 hour 20 minutes times 3 = 4 hours.


It will take her 4 hours.

5 0
3 years ago
Read 2 more answers
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