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Harrizon [31]
3 years ago
13

Pre-cal! Please help!

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

(8,90°)

Step-by-step explanation:

To get this answer, you multiply the r values together to get 2*4 = 8. At the same time, you add the theta angles to get 45° + 45° = 90°

The general rule is that if A = (r,theta) and B = (s,phi) then

A*B = (r*s,theta+phi)

where the point (s,phi) is a polar form point.

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A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
3 years ago
andres is 1.65 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 40.15 meters. He stands 35 meters away fr
almond37 [142]

Answer:

Step-by-step explanation:

3 0
3 years ago
The equation of the circle is (x+8)^2+(y+9)^2=169. Which of the following are the center and the radius of the circle
ipn [44]
The equation for a circle is (x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius
(x + 8)^2 + (y + 9)^2 = 169
Since the equation is -h and -k, I will rewrite in terms of -h and -k.
(x - -8)^2 + (y - -9)^2 = 13^2
The center is (-8, -9) and the radius = 13
Let me know if you need me to explain further.
3 0
3 years ago
A small box of cereal weighs k grams. A jumbo box of cereal weighs 5 times as much.
mariarad [96]

Answer:

k=m/5

Step-by-step explanation:

explained in the attached pi

3 0
2 years ago
Omg!! Please help!! Thank you
nordsb [41]

Answer:

the first one since it shows all the lines being equal and therefore making the angles equal

8 0
3 years ago
Read 2 more answers
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