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Grace [21]
3 years ago
5

Can someone PLEASE help me out??!!!!!!!

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer:

\huge\boxed{66.42 \textdegree}

Step-by-step explanation:

In order to solve for this missing angle, we can use trigonometry.

With angle B, we only have two sides: the adjacent of the angle and the hypotenuse of the angle. The adjacent side is the one laying directly next to the angle that isn't the hypotenuse.

Using SOH CAH TOA, we can see that the correct trig function for this would be cos because of CAH (Cosine = Adjacent over Hypotenuse)

Since we know the length of the sides but we don't know the angle, we are going to use inverse trig.

The adjacent side over our hypotenuse will be \frac{2}{5} since 2 is the length of the adjacent and 5 is the length of the hypotenuse.

We know have the equation cos^{-1}(B) = \frac{2}{5}.

We now find what \frac{2}{5} is (0.4) and find the inverse cosine of it. We can do this by plugging it into a calculator.

When we do this, we get the number 66.42182152 etc. Rounding to the nearest hundredth gets us 66.42.

Hope this helped!

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A car passes a landmark traveling at a constant rate of 55 kilometers per hour. One hour later, a second car passes the same lan
yarga [219]
Recall your d = rt, distance = rate * time

one car is going at 55kph, at say hmmm "t" time
the second car zooms by at 75kph, an hour later, thus " t + 1 "

notice, overtaking the 1st car, simply means, the second car comes from behind approaches the first car from behind and "gets there", at that very second, both cars have travelled a distance, say "d"

if the first car travelled "d" kilometers
for the second car to "get there" has to had travelled "d" distance as well

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{first car}&d&55&t\\
\textit{second car}&d&75&t+1
\end{array}
\\\\\\
\begin{cases}
d=55t\\
d=75(t+1)\\
-------\\
55t=75(t+1)
\end{cases}

solve for "t"
7 0
3 years ago
Read 2 more answers
Share 747 pound in the ratio 2:7 betwen tom and ben
Yuliya22 [10]
2p + 7p = 747
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Hope it helps
7 0
3 years ago
Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael’s age
ki77a [65]

Answer: 14

Step-by-step explanation:

⇒ Michael's age = x −25

⇒ x − 25 + x = 53

⇒ 2x = 53 + 25

⇒ 2x =78

⇒ x =39

Hence, Michael's age

<h2>= x − 25 = 39 − 25 = 14 </h2>

* Hopefully this helps:) Mark me the brainliest:)!!!

<em>~234483279c20~</em>

5 0
3 years ago
Credit sales are collected as follows:65 percent in the month of the sale.25 percent in the month after the sale.10 percent in t
Vitek1552 [10]

Answer:

Step-by-step explanation:

a) November sales = (Total Uncollected Sales - Uncollected Sales from December) / Collection rate after two months

= ($121,100 - $87,300) / 0.20

November sales = $169, 000.00

b) December sales = Uncollected sales from December / Collection rate of the previous month sales,

Therefore: December sales = $87,300 / 0.45 = $194,000

December sales = $194,000.00

c) Each month's collection for the company are:

Collections for ech month = 0.20(Sales from 2 months ago) + 0.25(Last month's sales) + 0.55 (Current sales)

January collections = 0.20($169000.00) + 0.25($194,000.00) + 0.55($132,000)

January collections = $154,900.00

February collections = 0.20($194,000.00) + 0.25($132,000) + 0.55($149,000)

February collections = $153,750.00

March collections = 0.20($132,000) + 0.25($149,000) + 0.55($164,000)

March collections = $153,850.00

4 0
3 years ago
a sample of 345 people 129 could tell the difference between two different brands of cheese crackers. Based on this data, what i
grandymaker [24]
1,870. 5,000 divide 345 multiply 129.
7 0
3 years ago
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