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VLD [36.1K]
3 years ago
12

PLease continue to help, I neeed the answer to this one too

Mathematics
1 answer:
crimeas [40]3 years ago
5 0

Answer:

1. The value of x is 9.4.

2. The value of y is 17.7.

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 32°

Hypothenus = y

Opposite = x

Adjacent = 15

1. Determination of the value of x.

The value of x can be obtained as follow:

Angle θ = 32°

Opposite = x

Adjacent = 15

Tan θ = Opposite /Adjacent

Tan 32° = x/15

Cross multiply

x = 15 × Tan 32°

x = 9.4

Therefore, the value of x is 9.4

2. Determination of the value of y.

The value of y can be obtained as follow:

Angle θ = 32°

Hypothenus = y

Adjacent = 15

Cos θ = Adjacent /Hypothenus

Cos 32° = 15/y

Cross multiply

y × Cos 32° = 15

Divide both side by Cos 32°

y = 15/Cos 32°

y = 17.7

Therefore, the value of y is 17.7.

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Find 4.5×10^7 over 1.5×10^-8 . write answer in scientific notation.
Sati [7]

Answer:

\large\boxed{\dfrac{4.5\times10^7}{1.5\times10^{-8}}=3\times10^{15}}

Step-by-step explanation:

The scientific notation:

a\times10^k\ \text{where}\ 1\leq a

We have:

\dfrac{4.5\times10^7}{1.5\times10^{-8}}=\dfrac{4.5}{1.5}\times\dfrac{10^7}{10^{-8}}

Use

\dfrac{a^n}{a^m}=a^{n-m}

=3\times10^{7-(-8)}=3\times10^{7+8}=3\times10^{15}

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4 years ago
What is 35% of 265 if yall can help that would be great
gladu [14]

92.75 i hope this helps!!!

7 0
4 years ago
Which inequality is represented by the graph
DanielleElmas [232]

Answer:

y ≥ -2x + 2.5

Step-by-step explanation:

It's kind of hard to tell because no points are given on the graph, but we can first find the b value of 2.5 in the equation y = mx +b  as it is the y-intercept.

Using that value, we can also recognize that at one, it looks like the y-value is .5. using our slope formula (change in y / change in x), we can plug in the two points of (0, 2.5) and (1, 0.5) to get a slope of -2.

Now that we have our equation, we can make it an inequality!  

Since the graph is shaded upwards, we know it is going to be a greater than symbol, and since the line itself solid and not dotted, we know that the points on the line are also solutions, meaning that it is also equal to the line

Hence, we get the ≥ sign.

Putting it all together, we get our final equation of y ≥ -2x + 2.5 ! :))

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Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise
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80 + (0.04 x t)

She will earn $103

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