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STALIN [3.7K]
3 years ago
8

I am stuck and I hate maths so please help me

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

h = 21.2 cm

Step-by-step explanation:

You know the measure of one acute angle. It is 23 deg.

For that acute angle, the 9-cm leg is the opposite leg, and the h-cm leg is the adjacent leg. The trig ratio that relates the opposite leg to the adjacent leg is the tangent.

\tan A = \dfrac{opp}{adj}

\tan 23^\circ = \dfrac{9}{h}

h \tan 23^\circ = 9

h = \dfrac{9}{\tan 23^\circ}

h = \dfrac{9}{0.4245}

h = 21.2

Answer: h = 21.2 cm

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The mean age of 4 women in an office is 28 years old. the mean age of 4 men in an office is 30 years old. what is the mean age(n
Pavlova-9 [17]

Answer:

29

Step-by-step explanation:

its obvious

5 0
3 years ago
Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters
vodomira [7]

Answer:

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam                                  Cara

height = 159 cm                  height = 140 cm

shadow = 105 cm                shadow = x

Process

1.- To solve this problem use the Thales' theorem

         Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

                                     x / 140 = 105 / 159

-Solve for x

                                     x = 105 (140) / 159

-Simplification

                                     x = 14700 / 159

                                     x = 92.45 cm

Cara's shadow is 92.45 cm long.

2.- If both shadows are in line, then Cara must walk forward

                105 - 92.45 cm

                12.55 cm

             

4 0
3 years ago
What is the value of k(-3) when k(t) = -|4t|
Fantom [35]

Answer:

-12

Step-by-step explanation:

You can find the value of k(-3) by substituting t = -3 into the absolute value function k(t) = -|4t|.

k(-3) = -|4*-3| = -|-12| = -12

6 0
2 years ago
Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


3 0
3 years ago
Sovle the question l-9l + l-1l ​
Arada [10]

Answer:

10

Step-by-step explanation:

| | means absolute value. Absolute value is always positive, so your equation would be evaluated to 9 + 1 = 10

7 0
3 years ago
Read 2 more answers
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