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2 years ago

Please help!! What is the value of x?

Mathematics

1 answer:

Alika [10]2 years ago

6 0

Answer:

42.9

Step-by-step explanation:

The triangles are similar, so corresponding side lengths are proportional.

Consider the left side of the figure:

MA +AN = MN

MA = MN -AN = 67.2 -32 = 35.2

Now, we can write the proportion ...

MB/MP = MA/MN

x/81.9 = 35.2/67.2 . . . . . .fill in the known values

x = 81.9(35.2/67.2) . . . . . multiply by 81.9

x = 42.9

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Mother mixed cream and milk in the ratio of 2 parts cream to 3 parts milk. How many cups of each are needed to have 80 cups of m

alukav5142 [94]

Answer:

Cream = 32 cups

Milk = 48 cups

Step-by-step explanation:

Here, we want to share the ratio

The ratio here is 2:3

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For cream;

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For milk;

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2 years ago

Explain why cos(x)=sin(90-x) for x such that 0

aleksley [76]

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2 years ago

The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in deg

BartSMP [9]

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

$\sin{(\frac{\pi}{2})} = 1$

y=60+25sin(pi/6)t

The maximum value will occur when $\sin{(\frac{\pi t}{6}}) = 1$ , and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is $\frac{\pi}{2}$ . So

$\frac{\pi t}{6} = \frac{\pi}{2}$

$\frac{t}{6} = \frac{1}{2}$

$2t = 6$

$t = \frac{6}{2} = 3$

That is the number of months after April 15, which is 3 months. So July 15.

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3 years ago

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Answer:

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Step-by-step explanation:

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