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Genrish500 [490]
3 years ago
15

Find the the measure of angle C

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

65.4

Step-by-step explanation:

Use the Law of Sines here.  The Law is as follows:

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

We only have need for 2 of those 3 proportions.  Since we can have only 1 unknown in a single equation, we have to use angle C as that unknown.  That means that other angle and side have to be given in the problem.  Angle B is given as 45 and side b is given as 7, so we will use those.

\frac{sinC}{9}=\frac{sin45}{7}

We solve for sinC:

sinC=\frac{9sin45}{7}

Doing that on our calculator gives us

sinC = .9091372901

Taking the inverse sin in degree mode gives you that angle C = 65.4

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HELP ASAP
kari74 [83]

Answer:

2. 4a+2c = 5000

4. a + c = 1600

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
To which subsets of real numbers does the following number belong? square root of 30
LenaWriter [7]

In order to determine which subset it belongs, we must rewrite

\sqrt(30)

as

\sqrt(30)=\sqrt(2\times \times 3 \times 5)


\Rightarrow \sqrt(30)=\sqrt(2 \times 3\times 5)

\Rightarrow \sqrt(30)=\sqrt(2) \times \sqrt(3) \times \sqrt(5)


All these three numbers are irrational numbers, hence their product is also irrational


<h2>\Rightarrow \sqrt(30)</h2><h2>belongs to the set of irrational numbers</h2>
6 0
3 years ago
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How do yo slove the problem
maksim [4K]
4) In triangle, angle opposite to perpendicular is 90-60 = 30
So, tan Ф = P/B
tan 30 = a / 6
1/√3 = a/6
a = 6/√3
a = 2√3

Now, cosФ = B/H
cos 30 = 6/b
√3/2 = 6/b
b = 6*2/√3
b = 12/√3
b = 4√3

In short, Your Answer would be a = 2√3 and b = 4√3

Hope this helps!
6 0
3 years ago
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Which of the following is defined by a line parallel to one side of a triangle
Katarina [22]

Answer:

Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

  • If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

If

DE║AC

then

\frac{BD}{DA} = \frac{BE}{EC}

Therefore, Triangle Proportionality Theorem is  defined by a line parallel to one side of a triangle  divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

Learn more about Triangle Proportionality Theorem from brainly.com/question/11827486

#learnwithBrainly

3 0
3 years ago
The following graph shows the distance Thomas is from his home (in meters) for a period of 2 minutes. Determine the average rate
irga5000 [103]
The answer:
<span>the average rate of change for the first 50 seconds:
it  is v= 100 m/ 50 s = 2 m/s
</span><span>Thomas speed is 2 m in each second for the first 50 seconds.

</span><span>The average rate of change for the 70 remaining seconds:
the time is between [70; 120]
so the distance is d= 200m - 40m= 160m
the average rate is
v= 160m / 70 s = 2 . 28m /s

</span>
6 0
3 years ago
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