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larisa86 [58]
2 years ago
7

Katie received a speeding ticket that incurred a $125 fine. After one month, she will also

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
3 0

Answer:

Try A

Step-by-step explanation:

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A courtyard has three walls with widths
wariber [46]

Using the greatest common factor, it is found that the greatest dimensions each tile can have is of 3 feet.

---------------------------

  • The widths of the walls are of <u>27 feet, 18 feet and 30 feet.</u>
  • <u>The tiles must fit the width of each wall</u>, thus, the greatest dimension they can have is the greatest common factor of 27, 18 and 30.

To find their greatest common factor, these numbers must be factored into prime factors simultaneously, that is, only being divided by numbers of which all three are divisible, thus:

27 - 18 - 30|3

9 - 6 - 10

No numbers by which all of 9, 6 and 10 are divisible, thus, gcf(27,18,30) = 3 and the greatest dimensions each tile can have is of 3 feet.

A similar problem is given at brainly.com/question/6032811

8 0
3 years ago
How do you calculate elapsed time?
Valentin [98]
First tell me what elapsed time is
4 0
3 years ago
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Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).
insens350 [35]

Answer:

\cos{\theta} = \dfrac{1}{52}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

\sec{\theta} = \dfrac{1}{\cos{\theta}}

we can substitute the value of sec(θ) in this equation:

52 = \dfrac{1}{\cos{\theta}}

and solve for for cos(θ)

\cos{\theta} = \dfrac{1}{52}

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by \theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ

b) since right triangle is mentioned in the question. We can use:

\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

  • length of the adjacent side = 1
  • length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2

(52)^2=(1)^2+(\text{opp})^2

\text{opp}=\sqrt{(52)^2-1}

\text{opp}=\sqrt{2703}

  • length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}

\sin{\theta} = \dfrac{\sqrt{2703}}{52}}

and since \csc{\theta} = \dfrac{1}{\sin{\theta}}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

4 0
3 years ago
Graph the inequality: –10 &lt; t &lt; 5
shusha [124]

Answer:

no lo sé perdón buen día puto hgfhkghhhddj

Step-by-step explanation:

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ocvjñxhlkzxhllzhzhlcbvg,igxpgofypyfñjguñcñjgjñfodoyfpugpifojvvvbbbbbbbbbbbbbbbnnputo

7 0
3 years ago
GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)
Orlov [11]

Given:

The base of the given triangle has two part:

Left( left side of the hypotenuse) = 25

Right ( right side of the hypotenuse) = x

The altitude (h) = 60

To find the value of x.

Formula:

By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

\frac{left}{altitude} =\frac{altitude}{right}

Now,

Putting,

left = 25, altitude = 60 and right = x we get,

\frac{25}{60} =\frac{60}{x}

or, (25)(x )=(60)(60) [ by cross multiplication]

or, x = \frac{3600}{25}

or, x = 144

Hence,

The value of x is 144.

6 0
3 years ago
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