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3 years ago

Janice drove 360 miles in 6 hours. If she travels a constant rate, calculate the distance she will cover in 7 hours?

Mathematics

1 answer:

Hitman42 [59]3 years ago

5 0

Answer:

420 Mile's.

Step-by-step explanation:

First you figure out the unit rate by dividing 360 by 6 which is 60. So that's 60 miles per hour. Now multiply 60 by 7 to find out how many miles she will drive in 7 hours. When you multiply you get 420.

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Please help me!!!!! How do you get 67.3 and 112.7 from .9228

antoniya [11.8K]

Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: $\frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}$ .

Here, when we use the Law of Sines, we have: $\frac{28}{sin(63)}=\frac{29}{sinB}$ .

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

sinB ≈ 0.9228

Now, in order to solve for B, we need to use inverse sin ( $sin^{-1}$ ):

$sin^{-1}(sinB)=sin^{-1}(0.9228)$

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

7 0

4 years ago

Read 2 more answers

The number −5 is all of the following except _____.

nirvana33 [79]

Answer:

a real number

Step-by-step explanation: You didn't list the choices- a real number is all positive numbers except 0

7 0

3 years ago

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green

PSYCHO15rus [73]

Your answer is 6 over 24 multiplied by 6 over 23.

4 0

3 years ago

The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio

san4es73 [151]

$\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164$

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.

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3 years ago

What is 49% of 849 ?

Sholpan [36]

Answer:

416.01

Step-by-step explanation:

49% is the same as 0.49

0.49 × 849 is 416.01

6 0

3 years ago