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Nonamiya [84]
3 years ago
12

Question 10 of 10

Mathematics
1 answer:
wel3 years ago
3 0

Answer:

A. 60°

General Formulas and Concepts:

<u>Geometry</u>

  • Equilateral Triangle - All side lengths and angles are equal to each other

Step-by-step explanation:

From the picture given, we see that all the side lengths are 12. Therefore, we can conclude that triangle ABC is an equilateral triangle.

Therefore, m∠y must equal 60°.

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Malcolm ran the 440 yard dash and the 220 yard dash a track meet. There are 3 feet in one yard. How many total feet did Malcolm
inna [77]
In total Malcolm ran 1980 yards in all
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3 years ago
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If sin tetha=root3/2, what is cos tetha?​
Minchanka [31]

Answer:

The value of cos Ф is ± \frac{1}{2}

Step-by-step explanation:

There are important rules for sin Ф and cos Ф

  • sin²Ф + cos²Ф = 1
  • sin²Ф = 1 - cos²Ф
  • cos²Ф = 1 - sin²Ф

∵ sin Ф = \frac{\sqrt{3}}{2}

∴ sin²Ф = (\frac{\sqrt{3}}{2})^{2}

∴ sin²Ф = \frac{3}{4}

→ By using the third rule above

∵ cos²Ф = 1 - sin²Ф

∴ cos²Ф = 1 - \frac{3}{4}

∴ cos²Ф = \frac{1}{4}

→ Take square root for both sides

∴ cos Ф = ± \frac{1}{2}

∴ The value of cos Ф is ± \frac{1}{2}

6 0
3 years ago
Find the missing end point if H is the midpoint of PS. P(2,5) and H (3,4) find S (endpoint)
RUDIKE [14]

Answer:

(4,3)

Step-by-step explanation:

To find the midpoint add the end points and divide by 2

P(2,5)    S ( sx, sy)  and the midpoint is and H (3,4)

X coordinate

( 2+ sx) /2 = 3

Multiply each side by 2

2+sx = 3*2

2+sx = 6

Subtract 2

sx = 4

Y coordinate

( 5+ sy) /2 = 4

Multiply each side by 2

5+sy = 4*2

5+sy = 8

Subtract 5

sy = 3

The end point is

(4,3)

8 0
3 years ago
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Water is being drained at a constant rate from a tank.
saw5 [17]

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

3 0
3 years ago
Resuelve los siguientes sistemas de ecuaciones lineales utilizando el método de igualación
Dafna11 [192]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
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