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Gekata [30.6K]
2 years ago
11

The boy scouts spent 10/12 hours doing their daily eexercise. They only used 1/4 hours in hiking. How much they did they used fo

r other body exercise?
Mathematics
1 answer:
sweet [91]2 years ago
5 0

Answer:

7/12

Step-by-step explanation:

i think this is right sorry if wrong

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Chord AB subtends two arcs with measures in the ratio of 1:5. Line l is tangent to a circle at point A. Find the measure of the
elena-14-01-66 [18.8K]

Answer:

30°

Step-by-step explanation:

If chord AB subtends two arcs with measures in the ratio of 1:5, then the measure of minor arc is x and the measure of major arc is 5x. Thus,

x+5x=360^{\circ}\\ \\6x=360^{\circ}\\ \\x=60^{\circ}.

Thus, the measure of the angle AOB  is 60°. Consider isosceles triangle AOB (because AO=BO=radius of the circle). The angles adjacent to the base AB are congruent, thus

\angle BAO=\dfrac{1}{2}(180^{\circ}-60^{\circ})=60^{\circ}.

Since line CD is tangent to the circle,

\angle CAO=90^{\circ}.

Hence,

\angle CAB=\angle CAO-\angle BAO=90^{\circ}-60^{\circ}=30^{\circ}.

3 0
4 years ago
the length of a rectangle garden is 8 feet longer than its width. if the gardens perimeter is 196 feet what is the area of the g
Mumz [18]
1) width = x
length = x + 8
perimeter = 2 (length + width)
196 = 2 * (x+8+x)
196 = 2* (2x+8)
196 = 4x + 16
180 = 4x
x = 45 (thats width)

2) length would be 45+8=53

3) area = length times width = 45 * 53 = 2385 square feet


3 0
3 years ago
Can u help me with this:
Solnce55 [7]

Answer:

Are you taking edgnuity AP calculus

Step-by-step explanation:

3 0
3 years ago
José has 3 brown socks, 5 blue socks, and 6 black socks
lukranit [14]

Answer:

independent

Step-by-step explanation:

, it has no effect on the number of red socks  so thewhen he draws out a sock the  event is not affected by the draw a blue sock or the bla ck sock or the brown sock

8 0
3 years ago
A certain number when divided by 4 gives a remainder 3.The same number when divided by 3 gives a remainder of two.Which of the f
klio [65]

Answer:

2

Step-by-step explanation:

let n=4q+3

then 2n =8q+6

=4(2q+1)+2

6 0
2 years ago
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