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Degger [83]
3 years ago
6

Please help, I would very much appreciate it....

Mathematics
1 answer:
Ivan3 years ago
3 0

An adjacent angle is one of two angles that lie next to each other. They both share a common boundary line but do not overlap each other.  Congruent angles are angles that are opposite each other. They  only share a center point. You construct an adjacent angle and a congruent angle using a straight line and a compass by drawing two congruent angles with the same size angle in both angles. Because both angles are constructed using the same compass measurement; both angles are considered to be both congruent and adjacent. 

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What is the volume of this rectangular prism?
BaLLatris [955]

Answer:

1

Step-by-step explanation:

rectangular prism volume = Width * Height * Length

Width = 1.33

Height = .6

Length = 1.25

volume = 1

3 0
3 years ago
3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie
allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 53^\circ=\frac{150-x}{h}

\displaystyle \tan 48^\circ=\frac{x}{h}

From the last equation:

x=h.\tan 48^\circ

Substituting into the first equation:

\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}

Operating on the right side:

\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ

Rearranging:

\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}

Solving for h:

\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0
3 years ago
What is 23.4 x 0.4 equals
Hunter-Best [27]
9.36 is what it equals
5 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
amm1812
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25

5^2 + 12^2 = 13^2
25 + 144 = 169
169 = 169

9^2 + 12^2 = 15^2
81 + 144 = 225
225 = 225

<span>a^2 + b^2 is = to c^2</span>
8 0
4 years ago
Which number is prime? 36 37 35 38
dybincka [34]

A number is prime if its only divisors are 1 and the number itself.

Out of your numbers, 36 and 38 are even, and thus divisible by 2, so they aren't prime.

Similarly, 35 ends with 5, so it's divisible by 5, and is not prime.

37 is divisible only by 1 and 37, and thus it's prime.

5 0
4 years ago
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