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lbvjy [14]
3 years ago
8

Use vertical calculation to find each product: (5.4) x (2.4) = (1.67) x (3.5) =

Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer: your answer for the equation: ((5.4) x (2.4) = 12.96

for the second one it would be ((1.67) x (3.5) = 5.845

~I hope this is correct and has helped you, have a great day/night~

Step-by-step explanation:

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The mean number of children is 3.

Step-by-step explanation:

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15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm
ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of  water >height of glass.

#Volume of the golf ball:

V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3

#The volume of the water in the glass:

V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2

We then equate the two volumes to the glass' volume to determine the new height of the water:

V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

4 0
3 years ago
Kelly has 6 sheets of stickers, with 9 stickers on each sheet. Her aunt gives her 5 more sheets, with 10 stickers on each sheet.
NemiM [27]
104. 54+50. 6 times 9 equals 54. Ten times 5 equals 50.
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3 years ago
Find the values of sin2u, cos2u, and tan2u given the figure.
Vadim26 [7]

Givens

y = 2

x = 1

z(the hypotenuse) = √(2^2 + 1^2)  = √5

Cos(u) = x value / hypotenuse = 1/√5

Sin(u) = y value / hypotenuse = 2/√5

Solve for sin2u

Sin(2u) = 2*sin(u)*cos(u)

Sin(2u) = 2(\dfrac{1}{\dsqrt{5}} * \frac{2}{\dsqrt{5}} = \dfrac{2}{5}) = 4/5

Solve for cos(2u)

cos(2u) = - sqrt(1 - sin^2(2u))

Cos(2u) = - sqrt(1 - (4/5)^2 )

Cos(2u) = -sqrt(1 - 16/25)

cos(2u) = -sqrt(9/25)

cos(2u) = -3/5

Solve for Tan(2u)

tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3

Notes

One: Notice that you would normally rationalize the denominator, but you don't have to in this case.  The formulas are such that they perform the rationalizations themselves.

Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)

Three: If you are uncomfortable with the  tan, you could do fractions.

\text{tan(2u)} = \dfrac{\dfrac{4}{5}}{\dfrac{-3}{5} } =\dfrac{4}{5} *\dfrac{5}{-3} =\dfrac{4}{-3}

7 0
3 years ago
Which statements are true about the figure? Check all that apply.
ki77a [65]

Answer:

1,3,5

Step-by-step explanation:

4 0
3 years ago
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