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3 years ago

Find x and y on triangleAlso the degree is 30 and the other thing is 7sqrt3

Mathematics

1 answer:

nydimaria [60]3 years ago

6 0

Answer:

y =7

x =14

Step-by-step explanation:

Since this is a right triangle we can use trig functions

tan 30 = opp /adj

tan 30 = y/ 7 sqrt(3)

7 sqrt(3) tan 30 = y

7 sqrt(3) * 1/ sqrt(3) =t

7 =y

sin 30 = opp/ hyp

sin 30 = 7/x

x sin 30 =7

x = 7/ sin 30

x = 7 / 1/2

x = 14

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All 4 questions please

scZoUnD [109]

Answer:

π = S/2πrh
v = √2E/m
b = (-7a+c)/2
x =3y-1

Step-by-step explanation:

$S = 2\pi rh\\Divide\:both\sides\:of\:the\:equation\:by\:2rh\\\\\frac{S}{2rh} = \frac{2 \pi rh}{2 rh} \\\\\pi = \frac{S}{2rh}$

$E = \frac{1}{2} mv^2\\\\E = \frac{mv^2}{2} \\\\Cross\:multiply\\\\2E =mv^2\\Divide\:both\:sides\:of\:the\:equation\:by\:m\\\frac{2E}{m} = \frac{mv^2}{m} \\\\\frac{2E}{m} =v^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{\frac{2E}{m} } = \sqrt{v^2} \\\\\sqrt{\frac{2E}{m} } =v\\\\v =\sqrt{\frac{2E}{m} }$

$7a+2b =c\\Isolate\:b\\\\2b =c-7a\\2b= -7a+c\\Divide\:both\:sides\:of\:the\:equation\:by \:2\\\frac{2b}{2} =\frac{-7a+c}{2} \\\\b = \frac{-7a+c}{2}$

$y = \frac{1}{3} (x+1)\\\\y = \frac{x+1}{3}\\\\Cross\:multiply \\3y =x+1\\Isolate \:x\\3y -1=x\\\\x =3y-1$

7 0

3 years ago

In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o

andrezito [222]

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)

Conditional probability: $P(A/B)=\frac{P(A\cap B)}{P(B)}$

P(Cat)= $\frac{18}{42}$

$P(male cat)=\frac{6}{42}$

$P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}$

P(male/cat)= $\frac{6}{18}=0.33$

b. $P(female cat)=\frac{12}{42}$

$P(female)=\frac{28}{42}$

$P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43$

c.P(Dog)= $\frac{24}{42}$

$P(dog female)=\frac{16}{42}$

$P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}$

$P(female/dog)=\frac{16}{24}=0.67$

5 0

3 years ago

Given: △ABC, AB=5√2 m∠A=45°, m∠C=30° Find: BC and AC

Naddik [55]

Answer:

BC = 10, AC= approximately 13.66 OR 5+5 √3

Step-by-step explanation:

Law of Sines

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3 years ago

X+9=13352643-2x answer get brainliest

Ymorist [56]

Answer:

4450878

Step-by-step explanation:

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2 years ago

Evaluate 15 + |-3| - 4

hichkok12 [17]

Answer:

Step-by-step explanation:

we are solving 15 + |-3| - 4

anything inside | | means it's absolute value.

absolute value means that even if it is a negative number inside, it will change to positive. if it is a positive number inside, it will stay the same.

so |-3| is 3.

15 + 3 - 4

18 - 4 = 14.

we got the answer

6 0

2 years ago

Read 2 more answers

Find x and y on triangleAlso the degree is 30 and the other thing is 7sqrt3​

Find x and y on triangleAlso the degree is 30 and the other thing is 7sqrt3