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3 years ago

Please help me I need to finish

Mathematics

1 answer:

Talja [164]3 years ago

5 0

The given triangle is a Right angled triangle,

By applying trigonometry :

$\boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }$

$\tan(45 \degree) = \dfrac{7}{a}$

$1 = \dfrac{7}{a}$

$a = 7$

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Solve for m. 15 =9m Simplify your answer as much as possible.

kenny6666 [7]

Answer:

15 = 9m

15/9 = 9m/9

m =15/9

=5/3

=1.666667

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2 years ago

If this makes no sense tyty

WITCHER [35]

Ty for the points lol

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3 years ago

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A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?

Bogdan [553]

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH

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3 years ago

The sum of the first number cubed and the second number is 500 and the product is a maximum.

soldier1979 [14.2K]

We are given the following information:

the sum of the first number cubed and the second number is 500

their product is a maximum

We are looking for the 2 missing numbers.

To answer this, let's represent the two numbers as x and w.

From the given, we can form the following equation:

$x^3+w=500$

We can then express y as:

$w=500-x^3$

We can express their product as:

$x(500-x^3)=500x-x^4$

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

$\begin{gathered} f(x)=-x^4+500x \\ f^{\prime}(x)=-4x^3+500 \end{gathered}$

Then we solve for the value of x where f'(x) = 0.

$\begin{gathered} -4x^3+500=0 \\ -4x^3=-500 \\ x^3=125 \\ x=5 \end{gathered}$

Then we use x = 5 to solve for the second number, w.

$\begin{gathered} w=500-x^3 \\ w=500-5^3 \\ w=500-125 \\ w=375 \end{gathered}$

Therefore, the two numbers are 5 and 375.

3 0

1 year ago

I need help ASAP with question 15 please!!

Vaselesa [24]

Answer:

5 sessions

Step-by-step explanation:

2 1/2 = 5/2

No. of sessions = 5/2 x 2/1 = 5

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2 years ago

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