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Rudik [331]
2 years ago
9

PLEASE HELP DUE SOON! IM SO CONFUSED!!!

Mathematics
1 answer:
pochemuha2 years ago
8 0

The first step that we need to take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Looking at the problem statement they are asking for us to determine the value of the unknown variable h.  We are given one angle along with two sides.

Now that we have completed that step, we can move onto understanding what needs to be done to solve for the unknown.  We know that the best option is to use some trigonometry to help us determine the other side. Using Soh | Cah | Toa we are able to determine that we have the opposite side (h) and the hypotenuse (15.6 cm).

<u>Trigonometric functions</u>

  • sin(\theta) = \frac{opposite}{hypotenuse}
  • cos(\theta) = \frac{adjacent}{hypotenuse}
  • tan(\theta) = \frac{opposite}{adjacent}

<u>Plug in the values</u>

  • sin(\theta) = \frac{opposite}{hypotenuse}
  • sin(36) = \frac{h}{15.6\ cm}

We know have an expression which contains everything that we need to determine the value of the unknown.  To help isolate h we need to multiply both sides by 15.6 cm which will isolate h.  After that we need to simplify the expression so we can get the value of h.

<u>Multiply both sides by 15.6 cm</u>

  • sin(36) * 15.6\ cm = \frac{h}{15.6\ cm}  * 15.6\ cm
  • sin(36) * 15.6\ cm = h

<u>Simplify the expression</u>

  • 0.5878 * 15.6\ cm = h
  • 9.169 = h

After simplifying the expression, we are able to eliminate options A and C because they state that h is equal to 8.4 cm.  We also know that with the given dimensions we would be able to create two triangles. Therefore, the option that best incapsulates the correct answer would be option B - 9.2, two possible triangles.

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Convert 7.7km into miles if 1.6 km = 1 mile
Lemur [1.5K]
This is a simple equation.  

The equation is y = 1.6x  with y being the miles and x being the kilometers.

Lets plug the kilometers in.

Y=1.6(7.7)

1.6 *  7.7 = 12.32

12.32 miles is  equal to 7.7 kilometers

HOWEVER

There are about .6 miles in a kilometer, so if you typed this wrong I don't know.  

It is still the same concept.

Y = .6x

Y = .6(7.7)

.6 * 7.7 =  4.8

In this case there are 4.8 miles in 7.7 kilometers


3 0
2 years ago
Can somebody help me
saveliy_v [14]

Answer:

Y=5

You must first divide b (-10) by two and square it to know what you need to make a perfect square (25). You must then add or subtract the amount to make C (-13) into that number (add 38). Don't forget to do it on the other side too! (3 becomes 41) You then factor the left side. ((Y-5)^2=41) The result is your answer. (Y=5)

6 0
3 years ago
If g (x) = 1/x then [g (x+h) - g (x)] /h
lys-0071 [83]

Answer:

\dfrac{-1}{x(x+h)}, h\ne 0

Step-by-step explanation:

If g(x) = \dfrac{1}{x}, then g(x+h) = \dfrac{1}{x+h}. It follows that

  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}

Technically we are done, but some more simplification can be made. We can get a common denominator between 1/(x+h) and 1/x.

  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\\&=\frac{1}{h} \left(\frac{x}{x(x+h)} - \frac{x+h}{x(x+h)} \right) \\ &=\frac{1}{h} \left(\frac{x-(x+h)}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{x-x-h}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{-h}{x(x+h)}\right) \end{aligned}

Now we can cancel the h in the numerator and denominator under the assumption that h is not 0.

  = \dfrac{-1}{x(x+h)}, h\ne 0

5 0
3 years ago
-8(2b-7)-9(b-5)<br>simplify ​
GenaCL600 [577]

Answer:

<h2>-25b + 101</h2>

Step-by-step explanation:

-8(2b-7)-9(b-5)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(-8)(2b)+(-8)(-7)+(-9)(b)+(-9)(-5)\\\\=-16b+56-9b+45\qquad\text{combine like terms}\\\\=(-16b-9b)+(56+45)\\\\=-25b+101

3 0
3 years ago
Read 2 more answers
I need help doing this.
melisa1 [442]

Answer:

6.63

Step-by-step explanation:

6.63324958071

the hundredth spot is the first 3, so you go to the second 3, because its under 5, the second 3 stays the same and doesn't round up to 4.

3 0
3 years ago
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