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2 years ago

You find 1/6 of a case of

Mathematics

1 answer:

Burka [1]2 years ago

8 0

Each person receives 1/36th of a case.

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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

2 years ago

The following question has two parts. First, answer part A. Then, answer part B.

Arturiano [62]

Answer:

Part A: 13.2

Part B: see below

Step-by-step explanation:

Part A:

13.245 rounded to tenths is 13.2

Part B:

The rule is ...

Add 1 in the number place you're rounding to if the digit to its right is 5 or more. Drop (or zero) all digits to the right of the place you're rounding to.

Here, the digit to the right of the tenths place is 4, so no action is taken other than dropping digits to the right of the tenths place.

3 0

2 years ago

The mountain climber descended 437.85 feet every hour. What is the change in the climber's elevation after 6 hours?

bogdanovich [222]

The answer should probably be 2627.1 feet

Hope this helps!

7 0

2 years ago

Read 2 more answers

Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Nitella [24]

Answer:

$x = 6.99in$

Step-by-step explanation:

Given

$l =2in$

$Volume = 72.66in^3$

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

$Base\ Area= \frac{3\sqrt 3}{2} * 4$

$Base\ Area= 3\sqrt 3 * 2$

$Base\ Area= 6\sqrt 3$

Side x represents the height.

So, we have:

$Volume = Base\ Area*x$

Make x the subject

$x = \frac{Volume }{ Base\ Area}$

$x = \frac{72.66in^3}{6\sqrt 3 in^2}$

$x = \frac{72.66}{6\sqrt 3}in$

$x = \frac{12.11}{\sqrt 3}in$

$x = 6.99in$ --- approximated

6 0

2 years ago

50% more than what number is 20% less than 60% more than 10?

k0ka [10]

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16; x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

6 0

2 years ago