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zavuch27 [327]
3 years ago
9

An electrician bent a section of copper wire into a partial circle as shown. The dimensions are

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

Length = 3.84 feets (nearest hundredth)

Step-by-step explanation:

The length of section of wire can be obtyaiejd using the length of of a arc formular :

Length of arc = θ/360° * 2πr

Radius, r = 2.5 feets

Length of arc = (88/360) *2πr

Length of arc = (88/360) * 2π*2.5

Length of arc = 0.244444 * 15.707963

Length of arc = 3.8397

Length = 3.84 feets (nearest hundredth)

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At an animal shelter there are 15dogs, 12 cats, 3 snakes and 5 parakeets . What percent of the number of cats is the number of d
madreJ [45]
Total number of animals at the shelter = 15 + 12 +3 + 5 = 35 animals.
Let the total number of animals be represented by 100%
There are 15 dogs and 12 cats so:
% Number of dogs  = 15/35 x 100% = 42.86%
% Number of cats  = 12/35 x 100%  =  34.28%

6 0
3 years ago
Angle ABC measures 140°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. What is the measure of ∠EBC?
Brrunno [24]

Answer:

\angle{EBC}=35\textdegree

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

5 0
2 years ago
The ratio of the number of male lions to female lions in the animal reserve is 21:20 if there are 123 lions in the animal reserv
Katena32 [7]

ANSWER: 60 female lions

In the ratio there are 21 male lions and 20 female lions, in total 41 lions. Create a proportion relating the total number of lions in the ratio (41) and in the problem (123), and the number of female lions in the ratio (20) and in the problem (unknown).

20/41 = x/123

Cross multiply and solve

20(123)=41x

2460=41x

60=x

4 0
3 years ago
I need to find the equation for this table !
Ghella [55]
You should graph it first then post
5 0
3 years ago
Graph the image of square RSTU after a rotation 270° counterclockwise around the origin.
djyliett [7]

Rotating 270 degrees counterclockwise about the origin is the same as rotating 90 degrees clockwise about the origin, which can be expressed in coordinate notation (x,y) \longrightarrow (y, -x).

So, the vertices of the image are:

U(4,0) \longrightarrow U'(0, -4)\\\\T(5,0) \longrightarrow T'(0, -5)\\\\S(5,-1) \longrightarrow S'(-1, -5)\\\\R(4, -1) \longrightarrow R'(-1, -4)

8 0
2 years ago
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