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pychu [463]
3 years ago
15

Find the value of x, rounded to the nearest tenth. Answers : a.)12.5 b.)9.7 c.) 10.0 d.) 13.0

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
5 0

Remember "SOH CAH TOA"


Sine = (Opposite/Hypotenuse)

Cosine = (Adjacent/Hypotenuse)

Tangent = (Opposite/Adjacent)


In this case, we will be using cosine, and our equation will be \frac{cos(28)}{1} =\frac{11}{x}


So firstly, cross-multiply. cos(28)*x=11


Next, divide both sides by cos(28), and your answer will be x=12.5

Marysya12 [62]3 years ago
4 0

Answer:

a.)12.5

Step-by-step explanation:

You have a triangle with a 90º angle, you can apply the laws of the triangles on the triangle, and the chosen would be cosine.

Cosine=\frac{side-adjacent}{Hypotenuse}

Cosine 28º= \frac{11}{x}

x=\frac{11}{cosine 28}

x= \frac{11}{.8829}=12.45

x=12.5

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Rectangular Garden
vladimir2022 [97]

Answer:

The length, in feet, of the side of the garden that is against the wall is(60 - x - CD) ft.

Step-by-step explanation:

Consider the diagram below.

The wall is labelled as AD, the side perpendicular to the wall is labelled as AB and the side against the wall is labelled as CB.

It is provided that the rectangular garden is enclosed by  60 feet of fencing on three sides.

That is,

AB + CB + CD = 60 ft.

⇒ x + CB + CD = 60 ft.

Then the length, in feet, of the side of the garden that is against the wall is:

x + CB + CD = 60 ft.

⇒ CB = (60 - x - CD) ft.

6 0
3 years ago
Can you help me?Please!!!
iragen [17]
<span>Tran is incorrect because he only has 1/3 of clay left. Noah as 2/4 or 1/2 left. 1/3 < 1/2 </span>
6 0
3 years ago
Find the scale factor,and find the unknown side lengths.<br> Help if you can please
Burka [1]

Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

5 0
3 years ago
What is f(3)??????????
AURORKA [14]
<h3><u>Explanation</u></h3>
  • Meaning of f(a)

f(a) means the value of f(x) is ... when x = a. That means if we substitute x = 3, we would get f(3).

f(3) also means the value of f(x) is ... when x = 3.

f(x) can also be defined as y // f(x) = y

  • Find f(3) by graph.

You can find the value of f(x) at specific domain from the graph by looking at x = 3 then look up to where the point or where the graph passes. From the graph, when x = 3 as we look up and the graph passes y-coordinate at 1.

Therefore we can say that when x = 3, y = 1.

<h3><u>Answer</u></h3>

f(3) = 1

8 0
3 years ago
Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?
serious [3.7K]

Answer:

42.42in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

Step one

We know that the volume of a cone is

V= 1/3πr²h

Given data

Diameter d= 6 inches

Radius r= diameter/2= 6/2= 3 inches

Height h = 4.5 inches

Step two

Substituting our given data we have

Volume = 1/3*3.142*3²*4.5

V= 1/3*3.142*9*4.5

V= 127.251/3

V= 42.42in³

7 0
3 years ago
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