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madreJ [45]
3 years ago
6

Find the missing measure ; Help me understand how to solve this.

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0
Use Soh Cah Toa. Soh(sin) is the Opposite side divided by the Hypotenuse side so in this case 21/20. Since we need the angle here we would use the inverse of sin. Your equation is Sin(x)=Opposite/Hypotenuse=21/20=1.05
Now solve sin(x)=1.05
Re-arange into
X=sin^-1 (1.05) but since you can’t have a inverse sin of a number more than one it is inconclusive or no answer
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Divide \frac{1}{3}. 1÷3=0.33333333333333 \frac{1}{3} equals 0.333333333333333
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4) A rectangular prism has a width of 10 cm, a height of 6 cm and a depth of 3 cm. What is the volume of the prism?
ahrayia [7]

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It should be 180 cm

Step-by-step explanation:

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2/8 of the pizza from Pizza Palace.
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110% as a fraction in simplest form
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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
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Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
3 years ago
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