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4 years ago

Please help right away

Mathematics

1 answer:

STALIN [3.7K]4 years ago

4 0

Answer:

443 jelly boys

Step-by-step explanation:

the raius is 3.5, then square it is 12.25, multiplied by pie, 12.25*3.14159=38.4844775, then times 11.5 is 442.57149125‬, aproximately 443.

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Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0

2 years ago

Need help !!!!!!!!!!!!!!!!!!!

Tems11 [23]

Rectangle. it’s a 2d 4 sided shape with 2 sets of parallel sides

4 0

3 years ago

A baseball teams starting lineup has 3 left handed hitter, 4 right handed hitter, and 2 switch hitters . if there are a total of

neonofarm [45]

Answer: 45 players

Step-by-step explanation:

4+3+2=9 9x9=81 9x2=18. 9x3=27 27+18=45

5 0

3 years ago

The larger of two numbers is five more than twice the smaller. The difference is thirteen. Find numbers.

KIM [24]

The numbers are x and y
x>y

x=5+2y

x-y=13
so
sub 5+2y for x
5+2y-y=13
5+y=13
y=8

sub back
x-y=13
x-8=13
21=x

the numbres are 21 and 8

4 0

3 years ago

Please answer thanks

mamaluj [8]

Answer:

Step-by-step explanation:

$V= ?\\r = 2\\h = 5\\\pi = 3.14\\\\V = \frac{1}{3} \pi*r^{2} *h\\\\V = \frac{1}{3} *3.14*2^{2} *5\\\\V= \frac{1}{3} *12.56*5\\\\V= \frac{1}{3}* 62.8\\\\V = 20.93333333\\\\\\V = 20.93$

In terms of pi

$V= ?\\r = 2\\h = 5\\V = \frac{1}{3} \pi*r^{2} *h\\\\V= \frac{1}{3} *\pi*2^{2} *5\\\\V = \frac{1}{3} \pi*20\\V= 6.67\pi\\$

8 0

3 years ago