Help with trigonometry.
(Ignore the writing I still need all of them)

Help With Trigonometry.(Ignore The Writing I Still Need All Of Them)

Answers

Answer 1

Applying the trigonometry ratio and rationalization, the missing lengths are:

1. x = 12/√3; y = 2√3

2. x = 5√2; y = 5√2

3. b = 24

4. 4√3

5. 5√3

What are the Trigonometry Ratio?

The trigonometry ratios are represented as follow:

SOH is sin ∅ = opp/hypCAH is cos ∅ = adj/hypTOA is tan ∅ = opp/adj.

1. To find x, apply SOH:

opp = 6

hyp = x

adj = y

∅ = 60°

Equation:

sin 60 = 6/x

x = 6/sin 60

x = 6/√3/2 (sin 60 = √3/2)

x = 6 × 2/√3

x = 12/√3

Rationalize

x = 12/√3 × √3 /√3

x = 12√3/3

x = 4√3

To find y, apply TOA:

tan 60 = 6/y

y = 6/tan 60

y = 6/√3 (tan 60 = √3)

Rationalize

y = 6/√3 × √3 /√3

y = 6√3 / 3

y = 2√3

2. To find x, apply SOH:

opp = x

hyp = 10

adj = y

∅ = 45°

Equation:

sin 45 = x/10

x = (10)(sin 45)

x = 10 × 1/√2 (sin 45 = 1/√2)

x = 10/√2

Rationalize

x = 10/√2 × √2 /√2

x = 10√2/2

x = 5√2

To find y, apply CAH:

cos 45 = y/10

y = (10)(cos 45)

y = 10 × 1/√2 (cos 45 = 1/√2)

y = 10/√2

Rationalize

y = 10/√2 × √2 /√2

y = 10√2/2

y = 5√2

3. To find b, apply Pythagorean theorem:

b = √(25² - 7²)

b = 24

4. 12/√3

Rationalize

12/√3 × √3 /√3

12√3/3

4√3

5. 15/√3 × √3 /√3

15√3 /3

5√3

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Related Questions

Bridget, Cassie, and Hannah are discussing the results of their last math test. Hannah shows Bridget and Cassie her test, but Bridget and Cassie don't show theirs to anyone. Cassie says, 'I didn't get the lowest score in our class,' and Bridget adds, 'I didn't get the highest score.' What is the ranking of the three girls from highest to lowest?

Answers

Answer:

Based on this I would say Cassie got the highest, then Hannah, then Bridget.

Step-by-step explanation:

Cassie saying that she didn’t get the lowest means that her’s is higher than Hannah’s. The Bridget saying that she didn’t get the highest probably means she got lower than Hannah.

━━━━━━━☆☆━━━━━━━━━━━━━━☆☆━━━━━━━

《Answer》

If Hannah did better than Cassie, there would be no way she could know for sure that she didn't get the lowest score in the class. Therefore, Hannah did worse than Cassie. Similarly, if Hannah did worse than Bridget, there is no way Bridget could have known that she didn't get the highest in the class. Therefore, Hannah did better than Bridget, so our order is

Cassie, Hannah, Bridget

hope the answer helps

can you give a thanks (or a brainllest, if u want to)

thank you

━━━━━━━☆☆━━━━━━━━━━━━━━☆☆━━━━━━━

inverse of the letter a​

Answers

Answer:

We have the function f(x) = 2x + 3

the processes which take place in this function are

we take x                         [x]

we multiply it by 2           [2x]

we add 3 to it                   [2x + 3]

To get the inverse of this function, we will do exactly the opposite of it

we will take the output of the initial function           [y]

we will subtract 3 from it                         [y-3]

we will divide it by 2                   [(y-3)/2]

We get the function:

[tex]f^{-1}[/tex](y) = (y-3) / 2

Inverse functions are used to get the initial value used in the function bu using the output of the function

[tex]f^{-1}[/tex](0) = (0-3)/2

[tex]f^{-1}[/tex](0) = -3/2

Therefore, the input of the function is -3/2 when the output is 0

PLZZZZZZZZZZZZZZZ HURRYYYYYYYYYY!!!!!!!!!!!!!!!!!!!!!! plzzzzzzzzzzzzzzzzzzz A girl scout troop is selling cookies. on wednesday, the group set up their stand and sold 1/12 of their boxes in 15 minutes. At this rate how much of their cookies could they sell in one hour

Answers

1/3 hope this helpsssssss


5,12, 19, ...
Find the 48th term.

Answers

The sequence 5,12, 19, ... is an arithmetic sequence

The 48th term is 334

How to determine the 48th term?

The sequence is given as:

5,12, 19, ...

The above sequence is an arithmetic sequence with the following parameters:

First term (a) = 5

Common difference (d) = 7

The nth term of an arithmetic sequence is:

Tn = a + (n - 1) * d

So, we have:

T48 = 5 + (48 - 1) * 7

Evaluate

T48 = 334

Hence, the 48th term is 334

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Madeline bought a hybrid car that averages 46 miles per gallon. How much gas will she need for a 350-mile trip? Select the equation and the solution (2 answers).
Group of answer choices

350 x 46 = n

46n = 350

approximately 7.61 gallons

approximately 8.75 gallons

Answers

Answer:

46n = 350approximately 7.61 gallons

Step-by-step explanation:

1 gallon = 46 miles

   350 miles = 350 ÷ 46

46n = 350

  =7.60869565217 gallons

approximately 7.61 gallons

Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls. What is the probability that he catches 2 red balls and 1 ball of each of the other colors?

Answers

Answer:

1/4

Step-by-step explanation:

16.66 2/12 invert to decimal

8.33.  1/12 invert into decimal

24.99 adding them up

25/100 = 1/4 round them up then simplify if possible

The probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.

Given that, total number of balls=12, red number of balls =3, green number of balls=3, blue number of balls =3 and white number of balls =3.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here, C(n,r)= n!/r!(n-r)!

Now, C(12, 5)= 12!/5!(12-5)!

= 12!/5!(7)!

= (12×11×10×9×8×7!)/(5×4×3×2×1)×7!

= 3×11×2×3×4

= 792

Now, C(5, 2)= 5!/2!(5-2)!

= 5!/2!(3)!

= 10

Now, C(5, 1)= 5!/1!(5-1)!

= 5

So, he catches 2 red balls and 1 ball of each of the other colors

= 10×5×3

= 150

The probability of an event = 150/792

Therefore, the probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.

To learn more about the probability visit:

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The sum of two numbers is -32. One number is 2 less than the other.


Answers

The answer is -14 and -18

The numbers whose sum is negative 32 will be negative 15 and negative 17.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The sum of the two numbers is -32. One number is 2 less than the other.

Let the two numbers be x and y. Then the equation is given as,

x + y = - 32       ...1

x = y - 2           ...2

From equations 1 and 2, then the value of y will be

y - 2 + y = - 32

2y = - 30

y = - 15

Then the value of x will be given as,

x - 15 = - 32

x = - 17

The numbers whose sum is negative 32 will be negative 15 and negative 17.

More about the solution of the equation link is given below.

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Guys what is the definition of consecutive numbers? Anyone know? 20 points for first answer!!

Answers

They are integers that follow one right after another. For example the set {1,2,3,4,5} represents consecutive numbers. Another example would be {9,10,11,12,13}

In general, if x is some integer, then x+1 is the next integer right after x, and x+2 is right after x+1 and so on. The list is {x, x+1, x+2, x+3, ...} representing any general set of consecutive numbers.

8 is greater than x, and 4 is less than or equal to x

Answers

Rude, we don't use such an answers here. Change it, please.

pls change it

hope.u understand

x² - 46+17+2, IF THE VALUE OF X is 7​

Answers

Answer:

22

Step-by-step explanation:

If A = {1, 2, 4, 7} and B = {3, 5, 6, 7}, then A ∩ B=

Answers

Answer:

the answer is (7) because 7is the only intersection

I need help on this question!

Answers

It C I think
Sorry if wrong

The height of an adult giraffe is 3 times the height of a newborn
giraffe. Given n, the height of a newborn giraffe, write an equation that can
be used to find a, the height of an adult giraffe.

Answers

Answer:

3n

Step-by-step explanation:

the adult giraffes height is 3 times the height of the newborn. n is the height of the newborn. so in algebraic quotation 3 times n is written as 3n.

A college cafeteria pays student cashiers $7.70 per hour. Cashiers earn an additional $1.70
per hour for each hour worked over 35 hours per week. A cashier worked 41 hours one
week and 39 hours the second week. How much did this cashier earn in this two-week
period?

Answers

Answer:

$633

Step-by-step explanation:

Overtime:

(41 - 35 + 39 - 35) hours = 10 hours

Overtime rate: ($7.70 + $1.70)/hour = $9.40/hour

Regular time:

(35 + 35) hours = 70 hours

Regular rate: $7.70/hour

total pay = regular pay + overtime pay

total pay = $7.70/hour × 70 hours + $9.40/hour × 10 hours

total pay = $633

the length of a rectangle is 3 m longer than it’s width. if the perimeter of the rectangle is 58 m, find its length and width

Answers

Answer:

length is 16m

width is 13m

Step-by-step explanation:

width, w =?

length, l = 3+ w

perimeter =2(l+w)

58=2[(3+w) +w]

29=3+2w

26=2w

w=13

l= 16

Nhat number makes the equation true? Enter the answer in the box.
3 = 12:


I WILL MARK BRAINLIST!!!

Answers

Answer: There isn't really anything to solve

So I guess, 3 would make the equation true. But, 12 would also make it true as well.

If there was x and it equaled 4 it would make it true.

how many pence are there in twenty three pounds

Answers

Answer:

2300 pence

Step-by-step explanation:

1 pound = 100 pence

To calculate how many pence in 23 pounds, multiply 23 by 100:

⇒ £23 = 23 × 100 p = 2300 pence

What is the equation of a line parallel to y=7x-8 that passes through (5, -2)?

Answers

Answer:

The required line is Parallel to y = 7x - 8

This means their slopes are equal

So m = 7

Now writing the equation of straight line,

[y - (-2)] = m(x - 5)

y + 2 = 7(x - 5)

y + 2 = 7x - 35

7x - y - 37 = 0

Hope This Helps Y

Solve each equation.
2) 240 = 15n

Answers

Answer:

[tex]2)240 = 15n[/tex]

Answer:

n = 16

Step-by-step explanation:

240 = 15 n

solve using inverse operations

240 = 15n

/15     /15

16 = n

Solve the equation. y+18=29
Check your solution using substitution.
Group of answer choices

y=47

y=522

y=11

y=523.6

Answers

Answer:

y= 11

Step-by-step explanation:

When you work out the problem, you will see that y = 11.

Answer:

y=11

Step-by-step explanation:

You do:

y+18-18=29-18

y=11

Hello Can Someone Please Answer This Question I Will Mark You The Brainliest

Answers

I will tackle this problem by dividing the figure into 4 visible rectangles and 1 L shaped figure which i will add together to get the total area.

Rectangle (1)= w =4×5=20 cm²

Rectangle (2)= l =4×5=20 cm²

Rectangle (3)= h×l =4×5=20 cm²

Rectangle (4)= w =4×5=20 cm²

L-shaped polygon which i will divide into 2 parts

Part 1's area: w= 5×5=25 cm²

Part 2's area: w= 10×5=50 cm²

Total area=(20+20+20+20+25+50)

Total area=155 cm²

HELP Pllllllzzzzz
thank you have a great day

Answers

Answer:

use google that is what I do. it is a good

What is the midpoint of AB? ​

Answers

A (-2,5) B ( 3,-3)

midpoint= ((-2+3)/2), ((5+(-3)/2)

= (0.5),(1)

The answer is 9, 18, 27, 36, 45. What is the question

Answers

Answer:

It appears the question would be, "what are multiples of 9"

Step-by-step explanation:

For every 15 bicycles seen in Harlem, there were 60 cars. How many cars will we need for 33 bicycles?

Answers

Answer:

132 bicycles

Step-by-step explanation:

The ratio of bicycles to cars is 15:60. Before anything, we need to simplify this ratio. 15/15 = 1, and 60/15 = 4. So, now we have 1:4. Since the question asks for 33 bicycles, we multiply the number of bicycles, 1, by 33. Since we are multiplying the bicycles, we also need to multiply the cars. 4 x 33 = 132.

33:132. We need 132 cars.

Brainly if right!!!!!! Plus 15 points
a recipe that makes 4 servings calls for 2/3 cup of flour how much flour is required to make 20 servings​

Answers

Answer:

3 1/3

Step-by-step explanation:

If 4 servings calls for 2/3 cup of flour, you need to multiply both by five to make 20 servings:

4 x 5 = 20

[tex]\frac{2}{3}[/tex] x 5 = [tex]\frac{10}{3} or 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

took the test

what is the area? please help. this would be my last question

Answers

Answer:

242

Step-by-step explanation:

Rectangle= 22*11= 242

Triangle= [tex]\frac{4*3}{2} =6[/tex]

242+6=

248

Question 4! Need help

Answers

The answer would be True
Hope this helps :)

If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5
Find the
number.

Answers

Answer:

Let the number be x:

then

[tex](5+x)/(7+x)=3/5\\5(5+x)=3(7+x)\\25+5x=21+3x\\5x-3x=21-25\\2x=-4\\x=-2[/tex]

Exponential Function:

It is known that the concentration of anesthesia in human blood decreases exponentially according to the function [tex]f(x)=k* 0.95^{x}[/tex] , where K is the initial amount of anesthesia in milligrams and X is the time in minutes since its administration, how many milligrams of anesthesia are left in the patient's blood after hour and a half if it is known that 60 mg of anesthesia is initially administered?

Answers

Answer:

0.59 mg

Step-by-step explanation:

Given Function f(x)= k*0.95^xTo findf(x) when x= 1.5 hours and k = 60mgSolution1.5 hours = 90 minf(90) = 60*0.95^90 = 0.59 mg rounded
Solution

Given,

f(x) = k * 0.95^x

To find ;

f(x) when x = 1•5hrs k = 60 mg

Now,

1•5 hrs = 90min

So,

f(90)= 60*0.95^90= 0.59 mg

The required answer is 0.59mg .
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