Ask question

Ask question

All categories

BabaBlast [244]

3 years ago

12

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which e

quation
gives the measure of the central angle, q?
e = 5/7
e=7/5
e=7+5
e=7.5

1 answer:

maw [93]3 years ago

3 0

Answer:

Ф = ------------ = 7/5 radians

Step-by-step explanation:

"e" is inappropriate format here. Use Ф or α or similiar character for central angle.

Here, (arc length) = (radius)(central angle), or s = rФ, and so:

(central angle) = Ф = (arc length) / (radius)

7 ft

Here, Ф = ------------ = 7/5 radians

5 ft

You might be interested in

If JKLM is a rhombus, MK = 30, NL = 13, and mZMKL = 41°, find each measure.

oksian1 [2.3K]

Answer:

$NK = 15$

$JL = 26$

$KL = 19.85$

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

Step-by-step explanation:

Given

$MK = 30$

$NL = 13$

$\angle MKL = 41$

Solving (a): NK

MK is a diagonal and NK is half of the diagonal. So:

$NK = \frac{1}{2} * MK$

$NK = \frac{1}{2} * 30$

$NK = 15$

Solving (b): JL

JL is a diagonal, and it is twice of NL.

$JL = 2 * NL$

$JL = 2 * 13$

$JL = 26$

Solving (c): KL

To solve for KL, we consider triangle KNL where:

$\angle KNL = 90$

and

$KL^2 = NL^2 + NK^2$

$KL^2 = 13^2 + 15^2$

$KL^2 = 394$

$KL = \sqrt{394$

$KL = 19.85$

Solving (d - h):

To do this, we consider triangle JKN

$\angle KNL = \angle LNM = \angle MNJ = \angle JNK = 90$ -- diagonals bisect one another at right angle

Alternate interior angles are equal. So:

$\angle MKL = \angle KMJ = \angle KJL = \angle JLM = 41$

Similarly:

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 90 - 41$

$\angle MKJ = \angle KML = \angle MJL = \angle JLK = 49$

So:

$\angle JKM =49$

$\angle JML =41$

$\angle MLK = \angle MLJ + \angle JLK$

$\angle MLK = 49 + 41$

$\angle MLK = 90$

$\angle MNL =90$

$\angle KJL =41$

5 0

3 years ago

X + 6<br> for<br> <1<br> f(x) =<br> -5<br> for<br> X = 19<br> X + 4<br> for<br> Find f(1)

Rzqust [24]

Answer:

Step-by-step explanation:

when, for each x in the domain of f, f(x) 6. A function f Skills and Applications 回避回Domain, Range, and Values of a is , 13. Function In Exercises 7-10, use the graph of the function to find the domain and range of f and each function value. 7. (a) f(-1) (b) f(0) 8. (a) f(-1) (b) f(0 15. f(x) 16. f(x) 17. f(x) 18. f(x) 19. f(x 4-2 2 4 6 (c) f(3) (d) f(-1)(c) f(0 (d) f(2) y | y =f(x) 20. f(x 4 2 21. f(x 22. f(x 23. f(a 24. f( 2 回回Vertical Line Test for Functions In 25. f Exercises 11-14, use the Vertical Line Test to determine whether the graph represents y as a function of x. To print an enlarged copy of Graph the graph, go to MathGraphs.com. 窝 (a) use

8 0

3 years ago

PLEASE HELP. WILL GIVE BRAINLEST

swat32

Answer:

i would say A. The initial cost for renting a snowmobile is $75, with each hour of use costing an additional $25.

Step-by-step explanation:

5 0

3 years ago

Which expression show the number multiplied for t

jek_recluse [69]

Make the question more clear i cant understand it :/ include all the information from the actual question to get the best answer.

8 0

3 years ago

If m∠RQS=22x-11 and m∠RQT=12x-8, find m∠TQS

Arada [10]

Answer:

∡TQS = 10x -3

Step-by-step explanation:

∡TQS = ∡RQS - ∡RQT

= 22x - 11 - (12x - 8)

= 10x -3

3 0

3 years ago