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vazorg [7]
3 years ago
10

If the measures of two angles of a triangle are 96° and 34°, what is the measure of the third angle?

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Answer:

50

Step-by-step explanation:

Triangle=180 degrees

96+34=130

180-130= 50

50 degrees is the third angle

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What is 6/5 x 25/24 = ?
Margaret [11]
The answer is 5/4 or 1 and 1/4 (both answers are correct just different forms), hope this helps !
5 0
2 years ago
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Consider the following function. f(x) = 16 − x2/3 Find f(−64) and f(64). f(−64) = f(64) = Find all values c in (−64, 64) such th
VARVARA [1.3K]

Answer:

This does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64).

Step-by-step explanation:

The given function is

f(x)=16-\frac{x^2}{3}

To find f(-64), we substitute x=-64 into the function.

f(-64)=16-\frac{(-64)^2}{3}

f(-64)=16-\frac{4096}{3}

f(-64)=-\frac{4048}{3}

To find f(64), we substitute x=64 into the function.

f(64)=16-\frac{(64)^2}{3}

f(64)=16-\frac{4096}{3}

f(64)=-\frac{4048}{3}

To find f'(c), we must first find f'(x).

f'(x)=-\frac{2x}{3}

This implies that;

f'(c)=-\frac{2c}{3}

f'(c)=0

\Rightarrow -\frac{2c}{3}=0

\Rightarrow -\frac{2c}{3}\times -\frac{3}{2}=0\times -\frac{3}{2}

c=0

For this function to satisfy the Rolle's Theorem;

It must be continuous on [-64,64].

It must be differentiable  on (-64,64).

and

f(-64)=f(64).

All the hypotheses are met, hence this does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64) is the correct choice.

6 0
3 years ago
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Below are a picture of parallel railroad tracks intersecting the parallel edges of a road.
asambeis [7]
X= 130 degrees since 180 is the total minus 50 from above
7 0
3 years ago
What is 8/15 plus 2/5 equal to
anastassius [24]

We have to add 8/15 to 2/5.

To add two fractions we have to make them have the same denominator, so we have to convert 2/5 to have a denominator of 15. To do this, we have to multiply 2/5 by 3 and then we can add the fractions:

\begin{gathered} \frac{8}{15}+\frac{2}{5} \\ \frac{8}{15}+\frac{2}{5}\cdot\frac{3}{3} \\ \frac{8}{15}+\frac{6}{15} \\ \frac{14}{15} \end{gathered}

Answer: 14/15

5 0
1 year ago
A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each
balu736 [363]

Answer:

The area of each section of the circle is A=25\pi\ m^{2}

Step-by-step explanation:

we know that

Each section represent a quarter of circle

The area of a quarter of circle is equal to

A=\frac{1}{4}\pi r^{2}

we have

r=10\ m

substitute

A=\frac{1}{4}\pi (10)^{2}

A=25\pi\ m^{2}

7 0
3 years ago
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