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Licemer1 [7]
3 years ago
11

I go to school on the 4th of June Monday and i summer term is on 29th June i have 3 days a week at school Monday Tuesday Wednesd

ay
how meany of my schooldays are left

Mathematics
1 answer:
Virty [35]3 years ago
3 0

11 school days are left.

In the attached picture of a calendar, I marked the days the person has left. There are 11.

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Two lines intersect as shown.<br> (2x+20) •<br> 609<br><br> Which is the value of x ?
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Answer:

2x + 20 = 60 \\ 2x = 60 - 20 \\ 2x = 40 \\ x =  \frac{40}{2}  \\ x = 20

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A pizza is cut into eight slices the slices are all the same size Carolina ate 2 slices what fraction of the pizza did Carolina
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Which digit is in the hundred millions place? 812,906,435,000
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Find the missing side lengths. Leave your answers as radicals in simplest form.
tankabanditka [31]

Answer:

A.

x = \frac{7\sqrt{6}{3}

y = \frac{7\sqrt{6}}{3}

Step-by-step explanation:

Reference angle = 60°

Opposite = \frac{7\sqrt{2}}{2}

Hypotenuse = x

Adjacent = y

✔️To find x, apply the trigonometric function SOH:

Sin 60° = Opp/Hyp

sin 60° = \frac{\frac{7\sqrt{2}}{2}}{x}

\frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{2}}{2}}{x} (sin 60 = √3/2)

\frac{\sqrt{3}}{2} = \frac{7\sqrt{2}}{2}*\frac{1}{x}

\frac{\sqrt{3}}{2} = \frac{7\sqrt{2}}{2x}

Cross multiply

\sqrt{3}*2x = 7\sqrt{2}*2

2\sqrt{3}*x = 14\sqrt{2}

Divide both sides by 2

\sqrt{3}*x = 7\sqrt{2}

Divide both sides by √3

x = \frac{7\sqrt{2}}{\sqrt{3}}

Rationalize

x = \frac{7\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

x = \frac{7\sqrt{6}{3}

✔️To find y, apply the trigonometric function TOA:

Tan 60° = Opp/Adjacent

Tan 60° = \frac{\frac{7\sqrt{2}}{2}}{y}

\sqrt{3} = \frac{\frac{7\sqrt{2}}{2}}{y} (tan 60 = √3)

\sqrt{3} = \frac{7\sqrt{2}}{2}*\frac{1}{y}

\sqrt{3} = \frac{7\sqrt{2}}{2y}

Cross multiply

\sqrt{3}*2y = 7\sqrt{2}

2\sqrt{3}*y = 7\sqrt{2}

Divide both sides by √3

y = \frac{7\sqrt{2}}{\sqrt{3}}

Rationalize

y = \frac{7\sqrt{2}*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

y = \frac{7\sqrt{6}}{3}

4 0
3 years ago
DIG DEEPER You and
Wittaler [7]

Answer:

1.5 hours

I traveled farther

2 miles

Step-by-step explanation:

My speed

Speed of my friend

Time passed for both me and my friend will be equal if we start at the same time and the combined distance covered by both of us will be 24 miles. Let  be the time taken to meet

So, we meet each other after 1.5 hours.

Distance traveled by me

Distance traveled by my friend

3 0
3 years ago
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