MATHEMATICS MIDDLE SCHOOL

Find all solutions for a triangle with B=36 degrees, b=19, and c=36. Round to the nearest tenth.

Answers

Answer 1

Answer:

we know that

Applying the law of sines

b/sin B=c/sin C-------> solve for sin C

sin C=(c/b)*sin B-----> sin C=(36/19)*sin 36

sin C=1.1137-------> the value of the sines can not be greater than 1

The side lengths and angle given cannot be used to create a triangle

therefore

with the given values there is no solution to form some triangle

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You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height?

The circumference of a circular clock is 31.4 inches.What is the diameter of the clock

Answers

Circumference of a circle=πd
d=diameter
Circumference=31.4 in
π=3.141592654...

31.4 in=πd
d=3.14 in / π=0.999493...in≈1 in

Answer: diameter=1 in

The circumference formula is
C = $2 \pi$ r

We know the circumference, so lets find the radius and we will get the diameter.

31.4 = 2 $\pi r$
divide by 2 $\pi$ to isolate r

$(31.4)/(2 \pi )$ = $(2 \pi r)/(2 \pi )$
2 $\pi$ and 2 $\pi$ cancels out.

0.4997 = r
0.5 in ≈ r (approximately)

Diameter is 2 × radius
2 × 0.5
1 in

during the summer addison babysits for kids in her neighborhood. the ratio of her earnings for a weekday to her earnings for a weekend is 3:4. if she is paid $42 on a weekday, how much does she earn for working on Saturday and Sunday

Answers

so its a matter of proportionality.
A weekday is less payed than a weekend y 3:4
so if the payment for a weekday is 42, we have:
3:4
= 3(14):4(14)
= 42:56
therefore, the wknd payment is $56

Write the inequality;
Eight less than a number is greater than 0 and less than or equal to 1.

Answers

1>N-8>0 the sign in between the 1 and the n should have a line under it

What is the median of the data? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 A. 15 B. 17 C. 14 D. 16

Answers

all you need to do is put them in order least to great and find center number
if theres two then you just add both of them up and divide by 2
and the median is 14

the answer is 14 good luck

1,2,6,24,120 what are the next two terms in this sequence?

Answers

The multiplier increases by one each time:

1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5040
5040 x 8 = 40320
....

720 and 5,040 are the next two numbers

You fill a 22 and one half,gallon tub one ninth of the way

full of water. How many gallons of water are in the tub?

Answers

You filled it with a ninth of the way full of water so you just simply divide the capacity of the tube by how much it's filled. In this case:

22.5/9 = 2.5

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