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4 years ago

Number 33? Help with a and b

Mathematics

1 answer:

Flura [38]4 years ago

7 0

You have to set it up clearly and cleanly and neatly.

a).
3 and 1/4 = 13/4 = 26/8
2 and 1/2 = 5/2 = 20/8
5/8 = 5/8

Add the eighths: (26 + 20 + 5)/8 = 51/8 = 6 and 3/8

b).
We want to know how many times 1/4 goes into the total amount.
51/8 = 25.5/4

That's 25 full servings, with 1/2 serving left over.
==============================================

For me, this whole thing is much easier if you work it in decimals.

a).
3 and 1/4 = 3.25
2 and 1/2 = 2.50
5/8 = . . . . . 0.625

Add um up: 6.375 quarts

b).
A serving is 0.25 quart.
Divide 6.375 by 0.25 = 25.5 . . . 25 full servings, with 1/2 left for the kitchen help.

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Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t

Karo-lina-s [1.5K]

Answer:

$\displaystyle 10 + 12\sqrt{3}$ metres

Step-by-step explanation:

You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

We can now solve for EC:

$\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC$

OR

$\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC$

Now that you have solved for EC, you can now add it to your original 10 metres to get $\displaystyle 10 + 12\sqrt{3}$ metres. As a decimal, you would get $\displaystyle 30,78460969...$ metres. You can go ahead and round this off if necessary.

** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

8 0

3 years ago

The sum of the measures of the angles in a triangle is 1800. If two of the angles are 72 and 76 degrees, what is the missing ang

ehidna [41]

Answer:

Step-by-step explanation:

72 + 76 = 148

180 - 148 = 32

I hope this helps!!

4 0

2 years ago

If 9 is added to twice a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by 5 and

Alexxx [7]

Let's represent that number as X:
6(9+2X) = 5X + 12
54 + 12X = 5X + 12
7X = -42
X = -6

8 0

3 years ago

Using polygon STUVW what is m angle U ?

bija089 [108]

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

$\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\$

To find :

$\angle U = x = ?$

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

$\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180$

Here we have n = 5 on substituting the values we get

$\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72$

Therefore,

m∠ U is 72°.

4 0

3 years ago

Can someone please help me solve this I need to see if I got it correct

nignag [31]

First covert the yards to feet so you will have 317 feet so you do 317*317=100489
100489*8=803912 feet

5 0

4 years ago