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Black_prince [1.1K]
4 years ago
11

In ΔABC, if the length of side b is 3 centimeters and the measures of and are 45° and 60°, respectively, what is the length of s

ide c to two decimal places?
A) 2.45 centimeters

B) 3.67 centimeters

C) 4.00 centimeters

D) 5.45 centimeters
Mathematics
1 answer:
Naddika [18.5K]4 years ago
5 0
We can calculate a side of a triangle if the side's opposite angle, another side and its opposite angle are known using the Sine rule:
a/sin(A) = b/sin(B) = c/sin(C)
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Steve,Jerry and Ron were paid $29.25 to remove garden gnomes. They each worked 4 hours, exempt for Ron, who was 1 hour late. How
Alenkasestr [34]
Ron should receive $7.98. Jerry and Steve each worked for 4 hours, while Ron was one hour late, so he worked for 3 hours. Together, they worked for 4*2+3=11 hours, receiving $29.25 in total. Each hour should be paid 29.25/11=2.66 dollars. Ron worked for three hours, so he should receive 3*2.66=7.98 dollars. 
5 0
4 years ago
400 pounds per 340 square feet” as a rate in simplest form
Airida [17]
400lbs/340ft^2

Factor out largest common factor.  LCF is the product of shared primes of the numbers prime factorization.

400=2*2*2*2*5*5,  340=2*2*5*17

So the product of the shared primes is 2*2*5=20, so divide the numerator and denominator by 40.

(400/20)lbs/(340/20)ft^2

20lbs/17ft^2  or if you prefer

(20/17)lbs/ft^2

(1 3/17)lbs/ft^2 or approximately

1.18 lbs/ft^2



4 0
3 years ago
IN<br> -<br> Change this fraction to a decimal:<br> 9
vazorg [7]

Answer: 9 over 10

Step-by-step explanation:

7 0
3 years ago
The bank has accepted Harriet's application for a mortgage to buy a property worth $325,500. She has to make a down payment of 2
Free_Kalibri [48]
The answer is C because the difference of 325,500 times 20 Percent and 325500 is the loan amount
3 0
3 years ago
Read 2 more answers
Does the point (-4, 3) fall on the graph of this line? How do you know? Show your work. ( 2 points) PLEASE HELP ILL MARK BRAINLI
Elanso [62]

Answer:

Step-by-step explanation:

Since we know the line goes through points (8,9) and (2,4), we can construct a line in slope-intercept form

y = mx + b

where m is the slope and b is the Y-intercept.

The slope can be found using the two points provided:

\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{9 - 4}{8 - 2}

\frac{5}{6}

The line is now represented as

y = \frac{5}{6}x + b

To solve for b, we can plug in one of the two points:

y = \frac{5}{6}x + b

(9) = \frac{5}{6}(8) + b

4 = \frac{20}{3} + b

b = \frac{-8}{3}

We know have our line:

y = \frac{5}{6}x - \frac{8}{3}

To determine if the point (-4, 3) falls on this line, we just plug the numbers into the equation and see if it holds true:

y = \frac{5}{6}x - \frac{8}{3}

(3) = \frac{5}{6}(-4) - \frac{8}{3}

3 = \frac{-10}{3} - \frac{8}{3}

3 = \frac{-18}{3}

3 = -6

This does not hold true, so the point is not on the line.

3 0
3 years ago
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