All categories

3 years ago

Need the answer soon please.

Mathematics

2 answers:

eimsori [14]3 years ago

8 0

I'm not too sure myself (cause Im a learning student myself at the age of 16 and I learn it in a completely different language) I cant really understand c) sorry for my poor english but I think I have gave you enough tips to do c)

kvv77 [185]3 years ago

4 0

Circumference (C) = 2 π r
   122 = 2 π r
61/π = r
Answer to part (b): radius is 61/π ≈ 19.4

Diameter (d) = 2 r
   d = 2 (61/π)
   d = 122/π
Answer to part (a): diameter is 122/π ≈ 38.8

arc length (s) = r · Ф
THETA MUST BE IN RADIANS!
use the unit circle (or use the proportion π/180°) to discover that 30° = π/6

s = (61/π)·(π/6)
   = 61/6
Answer to part (c):arc length is 61/6

You might be interested in

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each

ioda

Answer:

Pedro got 1520 base hits and Ricky got 1243.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of base hits that Pedro got.

y is the number of base hits that Ricky got.

Pedro and Ricky got 2673 base hits last season.

This means that $x + y = 2763$

Pedro had 277 more hits than Ricky.

This means that $x = y + 277$

Replacing in the first equation

$x + y = 2763$

$y + 277 + y = 2763$

$2y = 2486$

$y = \frac{2486}{2}$

$y = 1243$

$x = y + 277 = 1243 + 277 = 1520$

Pedro got 1520 base hits and Ricky got 1243.

4 0

3 years ago

Simplify the following expression. A. B. C. D.

Dahasolnce [82]

Answer:

Step-by-step explanation:

Let's start by crossing everything out!

12/3 can be crossed out to 4.

a^3/a^2 can be crossed out to a.

b^6/b^4 can be crossed out into b^2.

c^5/c^5 is just 1.

So which the results we got, we can multiply them, so that it is 4ab^2.

4ab^2 is our final answer!

5 0

2 years ago

PLEASE HELP ASAP

Nat2105 [25]

A leg of a right triangle can never be greater then the hypotenuse

this formula will tell you if it's a valid right triangle
${?}^{2} + {?}^{2} = {?}^{2}$
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.

THE STEPS:
${3}^{2} + { \sqrt{7}^{2} } = {4}^{2}$
$9 + {2.65}^{2} = 16$
${2.65}^{2} = 7$
$9 + 7 = 16$
ANSWER: $\sqrt{7}$

5 0

3 years ago

Length in the right triangle 7cm 10cm

horsena [70]

I think it would be 70 cm

5 0

3 years ago