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larisa [96]
2 years ago
14

Find the radius of a circle whose arc length is 55 m and its central angle measure if 5 radians

Mathematics
1 answer:
dimaraw [331]2 years ago
4 0

Answer:

Step-by-step explanation:

To solve this question, we can use the formula S=\theta r, where S is the arc length, \theta is the central angle of the sector in radians, and r is the radius.

In this situation, we know that S=55 and \theta=5

This means that 55=5r \longrightarrow \boxed{r=11}

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Find all x-intercepts of the function. Express your answer as a list of x-values.
-Dominant- [34]

Answer:

all x intercepts [-4, 0] [4, 0]

Step-by-step explanation:

x-intercept, i.e. y=0

f(x) = x^3 - 4x^2 - 16x + 64 = 0

(x^3 + 4^3) - 4x^2 - 16x = 0         [FYI, x^3 + y^3 = (x + y)(x^2 - xy + y^2)]

(x + 4)(x^2 - 4x + 16) - 4x^2 - 16x = 0

(x + 4)(x^2 - 4x + 16) - 4x(x + 4) = 0

(x + 4)(x^2 - 4x + 16 - 4x) = 0

(x + 4)(x^2 - 8x + 16) = 0

(x + 4)(x - 4)^2 = 0

x = -4 or 4

all x intercepts [-4, 0] [4, 0]

4 0
1 year ago
Read 2 more answers
Find an ordered pair (x, y) that is a solution to the equation.<br> -x+4y= 2
brilliants [131]

Answer:

x=0 y=0.5

Step-by-step explanation:

8 0
2 years ago
What is the Least Common Multiple for 6 and 8?
VladimirAG [237]

Answer:

24

Step-by-step explanation:

The multiples of 8 are 8,16,24,32 etc. and the multiples of 6 are 6,12,18,24,30, ect. The answer is 24 because it is the lowest multiple of 6 that crosses with multiples of 8.

7 0
2 years ago
What is the similarity ratio of ΔABC to ΔDEF?<br> Tri ABC: AC=4 CB=5<br> Tri DEF: DF= 2
alekssr [168]

The similarity ratio of ΔABC to ΔDEF = 2 : 1.

Solution:

The image attached below.

Given  ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

In ΔABC: AC = 4 and CB = 5

In ΔDEF: DF = 2, EF = ?

Let us first find the length of EF.

We know that, If two triangles are similar, then the corresponding sides are proportional.

⇒ \frac{AC}{DF} =\frac{BC}{EF}

⇒ \frac{4}{2} =\frac{5}{EF}

⇒ 4EF=5\times2

⇒ EF=\frac{5\times 2}{4}

⇒ EF=\frac{5}{2}

Ratio of ΔABC to ΔDEF = \frac{AC}{DF} =\frac{4}{2}=\frac{2}{1}

Similarly, ratio of ΔABC to ΔDEF = \frac{BC}{EF} =\frac{5}{\frac{5}{2}}=\frac{2}{1}

Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.

6 0
2 years ago
Which pair of fractions and mixed numbers have a common denominator of 42?
USPshnik [31]
The answer is b because 6 and 4s common denominator is 24
7 0
3 years ago
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