Which trig function would you use to find the missing side length in the diagram below?

Which Trig Function Would You Use To Find The Missing Side Length In The Diagram Below?

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Cos (angle) = Adjacent/Hypotenuse

Cos 20° = 12/x


Related Questions

Hello do any no how to do this .If so can you tell me step by step please. It is called Solving Equations Puzzle.

Answers

I'm pretty sure you have to write how much they are

Pink heart is 2

Green square is 2

Blue moon 1

Answer:

Pink Heart = 2 Green Square = 6  Blue Moon = 4

Step-by-step explanation:

h ( h x g) = (b x g) = 24    left side of table

2 (2 x  3)  = (4 x 6) = 24   right side of table

h(h x g ) = 2(2 x 3) = (4 x 6) = (b x g) = 24   equivalent outcomes

Leslie has a black and purple marker. She can
use either of them to write on either a white, pink
or yellow sticky note, is this a simple event or compound event?

Answers

Answer:

Compound

Step-by-step explanation:

Can yall help im mentally slower than the average human

Answers

Answer:

I think it would be 216cm

Step-by-step explanation:

how I got this answer?:

cubes are mostly the same in all sides due to all the sides being equal

The area of 6 squares is 216 cm^2
Each square is then 216/6 or 36 cm^2

The area of a square is length of one side times the length of an adjacent side or Area = s^2
36 = s^2
s = 6

Find the greatest common factor of 10, 3, and 6.

Answers

Answer
1
Explain
Sorry if wrong but I’m pretty sure I’m right

Answer:10

Step-by-step explanation:u have to see how many time can a number go into it

I WILL MAKE YOU BRAINLIEST FOR THE FIRST ONE TO SOLVE THIS FOR ME!!!

Which number is larger, A or B? Write more than a sentence to explain your reasoning.

(A) 9.675 x 10^24
(B) 1.109 x 10^28​

Answers

Answer:

the answer is B

Step-by-step explanation:

when you take the first answer and subtract the second answer from it you get a negitive number of -1.1080325x10+28

Michael brought 2 gallons of lemonade for his class party. How many 1 cup servings does he have for his class? (1 gallon = 16 cups) *

Answers

What’s 3 x 1/2 ? This not a answer but what is it
He has 32 servings. 1 gallon = 16 so 16*2=32

Jackson invested $140 in an account paying an interest rate of 3 3/4% compounded
quarterly. Lucy invested $140 in an account paying an interest rate of 3 1/2%
compounded daily. After 10 years, how much more money would Jackson have in his
account than Lucy, to the nearest dollar?

Answers

Answer: $5

Step-by-step explanation:

Solve system by substitution.

−5x−7y=3

x+6y=−19

Answers

-5x-7y=3
x+6y=-19
solve for x
x=-19-6y
substitution method
-5(-19-6y)-7y=3
when u solve u get y=-4
since y is -4
substitute that in
x+6(-4)=-19
x=5
so (x,y) = (5,-4)
x is 5 and y is -4

if there 3 cats and 3 dogs how mush would be together

Answers

Answer:

6

Step-by-step explanation:

3+3 = 6

Answer:

There is 1 cat for each dog so the ratio would be 1:1 together.

Step-by-step explanation:

This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1

HELP I NEEEEEEEEEEEEEEEED HELP

Answers

Answer:

It's B

Step-by-step explanation:

Which value, to the nearest tenth, is the smallest solution of f(x) = g(x) if f(x) = ln(x + 5) – 1 and g(x) = x3 – 2x + 1?

Answers

Answer:

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

Step-by-step explanation:

Let [tex]f(x) = g(x)[/tex], [tex]f(x) = \ln (x+5)-1[/tex] and [tex]g(x) = x^{3}-2\cdot x + 1[/tex], then we have the following implicit equation:

[tex]\ln (x+5)-x^{3}+2\cdot x -2 = 0[/tex] (1)

This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:

Let suppose that we use this function [tex]h(x) = \ln (x+5) -x^{3}+2\cdot x - 2[/tex]. By the help of a graphing tool, we find the smallest solution such that [tex]h(x) = 0[/tex]. There are three possible solutions: [tex](x_{1},y_{1}) = (-1.577,0)[/tex], [tex](x_{2},y_{2}) = (0.18,0)[/tex], [tex](x_{3}, y_{3}) = (1.376, 0)[/tex]

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

The smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given functions;

f(x) = ln(x + 5) – 1

g(x) = x³ – 2x + 1

After graphing both the function, we get the three solutions of the given equation,

[tex]\rm \left(-1.577,0.223\right)[/tex]

[tex]\left(0.18,0.645\right)[/tex]

[tex]\left(1.376,0.853\right)[/tex]

Hence,the smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

To learn more about the function, refer to:

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what is the mean .median ,mode of 2,3,4,3,2

Answers

Answer:

Step-by-step explanation:

mean = total / amount of numbers

= 15/5 = 3

median = 4 middle number

mode = most common numbers = 3,2

A pounds of apples and b pounds of plums were packed into n boxes. How many pounds of fruit are there in each box?

Answers

Answer:

(a + b) / n

Step-by-step explanation:

Pounds of apple in box = a

Pounds of plum in box = b

Number of boxes used in packing = n

The amount fruit in pounds that are in each box :

Total pound of fruits / number of boxes used

Total pounds of fruit = a + b

Number of boxes used = n

Hence, we have ;

(a + b) / n

Bobo and the Bouncing Ball Math Problem

Please help me solve it. There are 3 questions, question 1, 2, and the Einstein problem.
WORTH 20 POINTS!

Answers

This doesn’t include the Einstein problem cause I didn’t have that one.

Answer:

1)0.125

2)127.825

Step-by-step explanation:

In 2011 a sweatshirt cost $20 and in 2012 the price increase to 25 what is the percent change

Answers

This would be a 25 % increase in price.

solve this equation x-24/8 = 2x+ 1/2
x =

Answers

Answer:

x= - 7/2

Step-by-step explanation:

Decimal Form: -3.5

Mixed Number Form: -3 1/2

True or false ??????

Answers

True.................

A number b is increased by 6, and then the sum is doubled.

Answers

Answer:

2(b+6)

Step-by-step explanation:

Write the fifteenth term of the binomial expansion of (a^2+b)^20

Answers

Answer:

The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].

Step-by-step explanation:

Let be a binomial of the form [tex](a+b)^{n}[/tex], where [tex]a, b\in \mathbb{R}[/tex] and [tex]n\,\in\mathbb{N}^{+}[/tex]. The expansion of this polynomial is defined below:

[tex](a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k})[/tex] (1)

Where:

[tex]n[/tex] - Number of terms of the expanded polynomial.

[tex]k[/tex] - Index associated to [tex]k[/tex]-th term of the expanded polynomial.

For all [tex]n[/tex]-th binomial, we a sum of [tex]n+1[/tex] terms. If the given binomial has a term of [tex]20[/tex], then we have 21 terms and the fifteenth term of the polynomial corresponds to the [tex]14[/tex]-th term. Then, the fifteenth term of the binomial is:

[tex]c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})[/tex]

[tex]c_{14} = 38760\cdot a^{6}\cdot b^{14}[/tex]

The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].

Carter has a piece of rope that is of a meter long. He
ties knots in the rope to divide it into 3 equal sections.
Use the expression
to find the length of each
section.
Each section of rope is meter long.

Answers

Answer:

1 foot

Step-by-step explanation:

1 meter = 3 feet

3 feet divided by 3 = 1 foot

The length of each section of the rope is 1 foot.

What is an expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.Solution -

The piece of rope is 1m long.

Carter divided the ropes into three equal parts by tying up the knot.

1 meter = 3 foot.

Therefore, divide 3 by 3.

[tex]\frac{3}{3} =1[/tex] foot.

Therefore, each section is 1 foot long.

Know more about expression here:

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Emila bought 3 2/3 kilogram of sugar on wednesday she bought 3/10 kilograms of sugar less on Thursday. How uch sugar did she buy on Thursday?

Answers

Answer:

[tex]1\frac{7}{10}[/tex] kg of sugar

Step-by-step explanation:

Amount of sugar on Wednesday: [tex]3\frac{2}{3}[/tex] kg

Convert the mixed number fraction to an improper fraction (multiply the whole number by the numerator)

[tex]3\frac{2}{3}[/tex] ⇒ [tex]\frac{6}{3}[/tex] ⇒ [tex]2[/tex]

Therefore, Emila bought 2 kg of sugar on Wednesday.

Because Emila bought [tex]\frac{3}{10}[/tex] kg less sugar on Thursday, subtract [tex]\frac{3}{10}[/tex] from [tex]2[/tex].

[tex]2-\frac{3}{10}[/tex]

Convert 2 into a fraction with 10 as the denominator

[tex]=\frac{20}{10} -\frac{3}{10}\\=\frac{17}{10}[/tex]

Convert the fraction into a mixed number

[tex]= 1\frac{7}{10}[/tex]

Therefore, Emila bought [tex]1\frac{7}{10}[/tex] kg of sugar on Thursday.

I hope this helps!

Laura borrowed $40,500 at 3% for 10 years. what was the total interest?

Answers

Answer:

$12,150

Step-by-step explanation:

I = Prt

I = (40500)(0.03)(10)

I = 12150

Nick plans to start a home-based business producing and selling gourmet dog treats. He figures it will cost $20 in operating costs per week plus $0.50 to produce each treat. He plans to see each treat for $1.50. Graph y=0.5x+20 and y=1.5x to represent the situation

Answers

Answer: Nick needs to sell 20 treats to break even.

A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in one sweep. Round to the nearest whole number.

Answers

Answer:

The distance in one sweep is 100 cm approximately

Step-by-step explanation:

Here, we want to calculate the distance the wiper covers in one sweep

Mathematically;

we have a structure like an arc of a circle. It is the length of this arc we want to calculate.

The formula for the length of an arc is;

theta/360 * 2 * pi * r

r is the radius which in this case is 50 cm

We have ;

115/360 * 2 * 3.1412 * 50 = 100 cm approximately

Can someone help me with one of these? Factor using the X method please!

Answers

Answer:

Step-by-step explanation:

6.    x² + 8x + 7

   = x² + 7x + x + 7

   = x (x + 7) + 1 (x + 7)

  = (x + 1) (x + 7)

Option D is the answer.

7.    x² - x - 72

  = x² - 9x + 8x - 72

  = x(x - 9) + 8(x - 9)

Option B is the answer.

8.   x² - 49

  = (x - 7) (x + 7)    [formula used a² - b² = (a-b)]

 Option D is the answer.

9.   9x² - 54x + 72

 =  9(x² - 6x + 8)

 =  9(x² - 4x - 2x + 8)

 =  9[x(x-4) -2 (x-4)]

 =  9[(x - 2) (x - 4)]

 = Option A is the answer.

10.   x⁴ - 3x³ - 10x²

   =  x² (x² - 3x - 10)

   =  x² (x² - 5x + 2x - 10)

   =  x² [x (x-5) + 2 (x-5)]

   =  x² (x+2) (x-5)

Option A is the answer.

What is the volume of a rectangular prism that measures 2 & 2/6 inches by 3 & 3/7 inches by 2 inches.

Answers

Answer:

16 inch³

Step-by-step explanation:

Given that :

Length = 2 2/6 = 14/6 inches

Width = 3 3/7 = 24 /7 inches

Height = 2

The volume of a rectangular prism is given by :

Volume = Length * width * height

Volume = (14/6) * (24/7) * 2

Volume = 16 inch³

1 flower has 10 petals how many petals do 5 flowers have?

Answers

Answer:

50 :)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Find the value of x

Answers

Answer:

x=23

Step-by-step explanation:

set them equal to each other since its not same sides

these are alternative exterior

8x-77=3x=38

5x=115

x=23

Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

What 3-dimensional solid has a circular cross section when cut parallel to the base and a rectangular cross section when cut perpendicular to the base? A) cylinder B) sphere C) Triangular Prism D) Square Pyramid

Answers

Answer:

Option A ) Cylinder is correct.

Step-by-step explanation:

The important information need to consider is

1. Circular cross section when cut parallel to the base

2. Rectangular cross section when cut perpendicular to the base.

Let's consider each options.

Cylinder would have circular cross section when parallel to base and rectangle when it cut perpendicular to the base.

Yes! The cylinder works.

Mickey has $4,500 in a college savings account, and he will need to 0
contribute $6,000 each year towards his college tuition. Mickey wants to
save enough in 3 years to cover his first 2 years of tuition. According to
the table, what is the minimum monthly deposit that Mickey should make
in order to meet his goal

Answers

Answer:

200

Step-by-step explanation:

you would need to do 6,000 times 2 to find out how much he will need to cover and 6,000 times 2=12000 so the answer is b 200

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