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3 years ago

12

Heath wants to form a triangle using a piece of wire that is 40 centimeters long. If Heath uses the entire piece of wire, which

could be the side lengths of his triangle?

2 answers:

Annette [7]3 years ago

4 0

Answer:

1 2 3 4

Step-by-step explanation:

QveST [7]3 years ago

4 0

Answer: 1 3 4 hope this helps lol

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In the game of "odd man out" each player tosses a fair coin. if all the coins turn up the same except for one, the player tossin

Temka [501]

The options are H,H,T or T,T,H

HHT: 1/2 x 1/2 x 1/2 = 1/8

TTH: 1/2 x 1/2 x 1/2 = 1/8

HHT or TTH: 1/8 + 1/8 = 2/8 = 1/4

Answer: 1 out of 4 = 1/4 = 25%

5 0

3 years ago

ANSWER ASAP ITS FOR FINALS

Roman55 [17]

Answer:

9. 66°

10. 44°

11. $2\sqrt{7}$

12. $2\sqrt{3}$

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = $\sqrt{28}$

a = $2\sqrt{7}$

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = $\sqrt{12}$

a = $2\sqrt{3}$

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = $\frac{20}{x}$

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = $\frac{x}{18}$

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

8 0

2 years ago

Liz is hiking a trail that is 0.8 miles long. Liz hikes the first 2 tenths of the distance by herself. She hikes the of the way

antoniya [11.8K]

0.6 miles.

Since there is 0.8 miles to hike in total, she hiked 0.2 miles.

To solve, we just easily subtract the amount that Liz hiked from the amount that needs to be hiked.

She hiked 0.2 miles, which means we need to subtract 0.2 from 0.8.

8 - 2 = 6

The answer is 0.6 miles.

3 0

3 years ago

Read 2 more answers

14. A boy completes a 100 m circular track race in 5 min. Another boy runs in the same

Aleksandr [31]

Answer:

ee

Step-by-step explanation:

5 0

3 years ago

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

$(x-h)^2+(y-k)^2=r^2$

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago