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LuckyWell [14K]
3 years ago
11

Find the value of x in the triangle shown below.

Mathematics
2 answers:
muminat3 years ago
3 0

Answer:

x=48

Step-by-step explanation:

The other angle is 66° because it's an isosceles triangle

so

180=66+66+x

180=132+x

x=48

Evgesh-ka [11]3 years ago
3 0

Answer:

48 degrees

Step-by-step explanation:

Since the triangle is iscoceles because it has two sides with a length of 7, two angles will be 66 degrees and the missing angle will be the sum of total angles in a triangle minus the other two 66 degree angles. 180 - 66 - 66 = 48

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta
NemiM [27]

Answer:

The height of the statue is 21.4 feet

Step-by-step explanation:

We are given

A person is standing 50 ft from a statue

The person looks up at an angle of elevation of 16 degree when staring at the top of the statue

hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue

Firstly, we will draw diagram

In triangle ABF:

FC=50

we can use trig formula

tan(16)=\frac{y}{50}

y=50tan(16)

y=14.33727ft

now, we can find x

In triangle DEF:

we can use trig formula

tan(8)=\frac{x}{50}

x=50tan(8)

x=7.0270ft

we can see that

height of statue =x+y

so, the height of statue is

=14.33727+7.0270

=21.4ft


6 0
3 years ago
A cylinder has a radius of 12m and a height of 30m. Find the surface area and volume
Anastasy [175]

Answer:

Surface Area: 1008π OR 3166.73

Volume: 4320π OR 13,571.68

Step-by-step explanation:

Surface Area Equation:

2πrh+2πr^2

Work:

2π (12) (30) + 2π12^2

2π(360) + 2π(144)

720π + 288π

1008π OR 3166.73

Volume Equation:

πr^2h

Work:

π12^2 (30)

π144 (30)

4320π OR 13,571.68

4 0
3 years ago
I don't get this plz plz help me thanks
olasank [31]
The circumference of the blue circle is about: 20 cm
The circumference of the orange circle is about: 10 cm
6 0
3 years ago
A triangle has side lengths of 7 in., 9 in., and 11 in. Determine whether this is a right triangle and why.
Harlamova29_29 [7]

Answer:

Not a right triangle.  See below for my reasoning.


Step-by-step explanation:

If this is a right triangle, then the sum of the squares of the two shorter sides will equal the square of the longest side:  7^2 + 9^2 = 11^2 => 49 + 81 = 121   But this is false.

8 0
2 years ago
The diameter of a semicircle is 6 miles. What is the semicircle's perimeter?
koban [17]

Answer:

15.42mi

Step-by-step explanation:

Use the formula for a semicircle's perimeter.

P=\frac{1}{2}\pi *d+d

Plug in 6 for d.

P=\frac{1}{2}\pi*6+6

Let's use 3.14 for \pi, just to make it easier, but of course, if it states to round it to something else, just plug in that many values for \pi.

P=\frac{1}{2}(3.14)*6+6 \\ \\ P=1.57*6+6 \\ \\ P=9.42+6 \\ \\ P=15.42

5 0
3 years ago
Read 2 more answers
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