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bulgar [2K]
3 years ago
6

Can someone help me plzz!

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

<h2>126.6</h2>

Option A is the right option.

Step-by-step explanation:

Sum of angles in triangle= 180°

85 + 53 + m < a = 180 \\ or \: 138 + m < a = 180 \\ or \:m < a = 180 - 138 \\ m < a = 42

Applying sine rule:

\frac{sin \: a \: }{a}  =  \frac{sin \: b}{b}  =  \frac{sin \: c}{c}  \\  \frac{sin \: b}{b}  =  \frac{sin \: c}{c}  \\  \frac{sin \: (85)}{b}  =  \frac{sin(42)}{85}  \\ 85 \: sin \: (85) =  \: b \: sin \: (42) \\ b =  \frac{85  \: sin \: (85)}{sin \: 42}  \\ ac = 126.6

Hope this helps....

Good luck on your assignment...

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What is the surface area of the pyramid shown to the nearest whole number? the diagram is not drawn to scale
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Answer:

(B) SA=72{\tex{feet^2}

Step-by-step explanation:

Given: From the figure, it is given that the length of the base is 4 feet and slant height is 7 feet.

To find: The Surface are of Pyramid.

Solution: From the figure, it is given that the length of the base is 4 feet and slant height is 7 feet.

Now, surface area of the Pyramid is given as:

SA={\text{Area of base}+\frac{1}{2}pl

where p is the perimeter and l is the slant height.

Now, area of base is given as:

A=4(4){\tex{ft^2}

A=16{\tex{ft^2}

And, the surface area is given as:

SA=16+\frac{1}{2}(4)(4)(7)

SA=16+56

SA=72{\tex{feet^2}

Hence, option  B is correct.

7 0
4 years ago
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1.) 1.5

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Step-by-step explanation:

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3 years ago
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What is 1 hour : 45 minutes in a ratio?
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How many ounces of a silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 3
Pepsi [2]

Answer:

<u>135.73 ounces</u> of a silver alloy that costs $5.50 per ounce should be mixed.

Step-by-step explanation:

Given:

A silver alloy that costs $5.50 per ounce should be mixed with one that costs $7.00 per ounce to make a new 30 ounce alloy that costs $6.40 per ounce.

Now, to find the ounces of silver alloy.

Let the silver costs $5.50 per ounce be x.

And the silver costs $7.00 per ounce be y.

So, the total ounce make a new alloy:

x+y=30\\y=30-x  ....(1)

Now, the total costs of silver alloy:

5.50x+7y=6.4

Putting the value of y from equation (1) in the place of y :

5.50x+7(30-x)=6.4

5.50x+210-7x=6.4

-1.5x+210=6.4

<em>Subtracting both sides by 210 we get:</em>

-1.5x=-203.6

<em>Dividing both sides by -1.5 we get:</em>

x=135.73

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Answer:

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