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weeeeeb [17]
3 years ago
9

what digit out of 1, 3,5, and 9 would complete the second factor so that the product will have 2 decimal places for 7.2 x 4.6___

_
Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

When we have multiple possibilities for a number, we can replace it with a letter (or variable) -- here, we can put the second decimal place for 4.6_ as y. Therefore, when we multiply the two numbers, 7.2*4.6y=

        7.2

    x  4.6y

__________

        7.2*y

       4.320

     28.800  

Therefore, if we add 28.8 and 4.32 up, we are at 33.12. Aligning the zeros, it is clear that if the last digit of 7.2*y is not 0, this equation will end up having more than 2 decimal places. Therefore, using a little guess and check, we have 7.2*1=7.2, 7.2*3=21.6, 7.2*5=36.0, and 7.2*9=648. Therefore, 5 is our answer.


Feel free to ask further questions, and Happy Holidays!

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Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun
scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
3 years ago
Which equation is the inverse of y = 16x2 + 1?
Llana [10]

Answer:

y=\frac{\sqrt{x-1} }{4}

Step-by-step explanation:

The given equation is

y=16x^2+1

For this function to have an inverse, we must restrict the domain, say x\ge0

We interchange x and y to get,

x=16y^2+1


We now make y the subject to get;


x-1=16y^2


x-1=16y^2

We divide through by 16 to get;


\frac{x-1}{16}=y^2


We now take the square root of both sides to get;

\pm \sqrt{\frac{x-1}{16}}=y


y=\pm \frac{\sqrt{x-1} }{4}


Since  x\ge 0, the inverse function is


y=\frac{\sqrt{x-1} }{4}


6 0
3 years ago
Solve for x.<br><br> 3x - 13 = 2<br><br> (SHOW YOUR WORK)
Eddi Din [679]

3x-13=2

move -13 to the other side

sign changes from -13 to +13

3x-13+13=2+13

3x=2+13

3x=15

divide both sides by 3 to get x by itself

3x/3=15/3

cross out 3 and 3, divide by 3 and then becomes 1*1*x=x

x=15/3

x=5

answer:

x=5

7 0
3 years ago
Write an expression for the cost of 1 uniform, add $13, $11 and $8 .
Liula [17]

Answer:

Hey there!

Let the cost of one uniform be c, so the expression becomes

c+13+11+18

Thus, we have c+42

Hope this helps :)

7 0
3 years ago
Read 2 more answers
What is 119 times 31%
andrezito [222]

Answer:

61.69?

Step-by-step explanation:

Are you asking what 31% of 119 is? If so, then the answer would be 61.69.

Because (119)0.31=61.69

(To make a percent, you take a decimal out of 1, and multiply. 0.31 would be 31, because we would multiply it by 100, becuase you can only get to 100%. Then you woukd do the opposite, reverse it by dividing by 100. Which then, you would get 0.31)

Hope that helped.

4 0
3 years ago
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