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Bezzdna [24]
3 years ago
10

#4. Find the missing angle measures

Mathematics
2 answers:
baherus [9]3 years ago
4 0

Answer:

Step-by-step explanation:

x = 55

x + 55 = 110

x + 20 = 75

x + 65 = 120

liubo4ka [24]3 years ago
4 0

Answer:

x°=130°

The sum of two opposite angles in a quadrilateral is 180

⇒x+55°+x+65°=180°

⇒2x+120°=180°

⇒2x=60°

⇒x=30°

Có x+20 °+x°=180°

⇒30°+20°+x°=180°

⇒x°=130°

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What is the area of a circular wading pool with a radius of 50cm
STALIN [3.7K]
An area of a circle is calculated by the formula pi(3.14) x radius^2 (squared)

This mean that you would have to type pi x 50^2 (squared) into your calculator which would equal 7853.98. Then round it up to equal 7854cm^2
5 0
3 years ago
There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. I
ANEK [815]

Answer:

Number of Dolls = 28.

Number of Balls = 32.

Number of Cars = 20.

Step-by-step explanation:

Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.

Suppose the highest common factor of the three numbers be 'X'.

Then, Number of Dolls = 7x

Number of Balls = 8x

Number of Cars = 5x

Given the total number of dolls, balls, and cars is 80.

It means 7x + 8x + 5x = 80.

20x = 80

x = 80/20 = 4.

So, Number of Dolls = 7*4 = 28.

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8 0
3 years ago
La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 mag
AleksandrR [38]

Answer:

5 magdalenas

Step-by-step explanation:

Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.

Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.

7 0
3 years ago
Please help me thanks
borishaifa [10]

Answer:

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Step-by-step explanation:

4 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
3 years ago
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