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3 years ago

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A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a

point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

1 answer:

Ivan3 years ago

4 0

The lizard is 2 inches away from the cactus

You might be interested in

kenny6666 [7]

Answer:

B. 1 1/3

Step-by-step explanation:

$\frac{5}{6} + \frac{3}{6} = \frac{8}{6}$

$\frac{8}{6} = \frac{4}{3}$

three can go into 4 once, so we have a whole number of 1 and a leftover 1/3.

= $1\frac{1}{3}$

hope this helps :)

4 0

2 years ago

Read 2 more answers

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0

2 years ago

A circle has a circumference of 9 pi meters what is the area of this circle

Andreas93 [3]

Answer: 63.62 square m.

Step-by-step explanation:

Find the Radius so 9/2= 4.5

Area = π r²

Area 3.14(20.25)

Area equles 63.62

8 0

3 years ago

What is solution of 5+3(y-4)=5(y+2)-y

gulaghasi [49]

Answer:

y = -17

Step-by-step explanation:

5 + 3(y - 4) = 5(y + 2) - y Distribute

5 + 3y -12 = 5y + 10 - y Combine like terms

-7 + 3y = 4y + 10

+7 +17 Add 17 to both sides

3y = 4y + 17

-4y -4y Subtract 4y from both sides

-y = 17 Divide both sides by -1

y = -17

If this answer is correct, please make me Brainliest!

8 0

2 years ago

Read 2 more answers

Help with these problems please, DUE T O D A Y !!!! I’ll try to make you guys brainlist who ever answers first

Makovka662 [10]

Answer:

19) n = -14

20) x = 4

21) b= -14

22) x = 2

23) x = -1

24) x = -9

Step-by-step explanation:

19) Use the distributive property to get rid of the parentheses. You will get: 20-4n = 76. So, n = -14.

20) Multiply both sides of the equation by 2 to get: -8 + x = -4. So, x = 4

21) Add 3 to both sides to get: $\frac{b}{14}$ = -1. So, b = -14

22) Use the distributive property to get rid of the parentheses. You will get: -40 - 5x = -50. Then, add 40 to both sides to get: -5x = -10. So, x = 2.

23) Use the distributive property to get rid of the parentheses. You will get: -72 = -64 + 8x. Then, add 64 to both sides to get: -8 = 8x. So, x = -1

24) Add 2 to both sides to get: $\frac{x}{3}$ = -3. So, x = -9

Hope this helps :)

4 0

2 years ago