If sin 0=3/5, then cos 0=

Answers

Answer 1

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

sinΘ = [tex]\frac{3}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

Then the hypotenuse = 5 and one leg of the right triangle is 3

Using Pythagoras' identity to find the second leg (x)

x² + 3² = 5²

x² + 9 = 25 ( subtract 9 from both sides )

x² = 16 ⇒ x = 4

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]


Related Questions

Which expression is equivalent to 8-(6r+2)
A
B
C
D

Answers

i think b i’m not sure

Answer:

B

Step-by-step explanation:

Translate the sentence into a inequality


The product of c and 7 is less than or equal to -28?​

Answers

Answer: 7c≤-28  Step-by-step explanation:product of c and 7 is 7c and 7c is less than or equal to -28

The product of c and 7 is less than or equal to -28  is  7c≤-28.

What is the inequality equation? Inequality is a relation that makes a non-equal comparison between two numbers.Mathematical expressions of inequality equation is used most often to compare two numbers on the number line by their size.example :- The product of c and 7 is less than or equal to -28 is 7c≤-28.

What is a linear equation?

A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.

No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

solving this we will get the valve of Y if x is given.

Learn more about the equation here:- https://brainly.com/question/2972832

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Solve the inequality n/-3 + 8 > 6.

Answers

Answer:

n < 6

Step-by-step explanation:

n/-3 + 8 > 6

Subtract 8 from each side

n/-3 + 8 -8> 6-8

n/-3 > -2

Multiply each side by -3 to isolate n.  Remember to flip the inequality since we are multiplying by a negative

n/-3 * -3 < -2 *-3

n < 6

which is greater pls help 108.505 108.5? pls help!!

Answers

Answer:

108.505 is greater.

Step-by-step explanation:

It is 5 thousandths bigger.

Ervin scores half as many points in a game as Larry. If Larry scored x points, write an expression to represent how many points Ervin scored.
A) 2x
B) 2 + x
C) x - 2
D) 1
2
x

Answers

Answer:

Step-by-step explanation:

D

Answer:

Option D

Step-by-step explanation:

Larry scored x points

Ervin scores half as many points in a game as Larry

We need to make an expression using the given statement

For larry points we use the variable x.

Half as many points means 1/2 as larry

Ervin = half as larry

Ervin scored [tex]\frac{1}{2}[/tex] of larry

Ervin scored [tex]\frac{1}{2}[/tex] x

Determine the value of x.



20°
30°
45°
60°

Answers

30 is the value of x given of above quertion

Answer:

30°

Step-by-step explanation:

x + 2x + 3x = 180°

30° + 60° + 90° = 180°

x = 30°

solve
4-p/p-1=2/p-1

Answers

Answer:

Final answer is p=2.

Step-by-step explanation:

Given equation is [tex]\frac{4-p}{p-1}=\frac{2}{p-1}[/tex]

Cross multiply

[tex]\left(4-p\right)\left(p-1\right)=2\left(p-1\right)[/tex]

[tex]4p-4-p^2+p=2p-2[/tex]

[tex]4p-4-p^2+p=2p-2[/tex]

[tex]0=p^2-4p+4-p+2p-2[/tex]

[tex]0=p^2-3p+2[/tex]

[tex]0=p^2-1p-2p+2[/tex]

[tex]0=(p-1)(p-2)[/tex]

[tex]0=(p-1)[/tex] or [tex]0=(p-2)[/tex]

[tex]1=p[/tex] or [tex]2=p[/tex]

But p=1 will make denominator 0 and make the problem not defined.

Hence final answer is p=2

What are the x-intercepts of the graph of the equation above?

Answers

Answer:

B. (-3, 0) and (-6,0)

Step-by-step explanation:

x intercept when y = 0

so x^2 + 9x + 18 = 0

Factor

(x + 6)(x + 3) = 0

x+6 = 0; x = -6

x+3 = 0; x = -3

Answer

B. (-3, 0) and (-6,0)

Answer: Option B.

Step-by-step explanation:

The graph of the quadratic equation is a parabola.

The parabola intercepts the x-axis when [tex]y=0[/tex].

Then, you need to substitute [tex]y=0[/tex] into the equation:

[tex]y=x^2+9x+18\\0=x^2+9x+18[/tex]

Factor the quadratic equation: find two number that when you add them you get 9 and when you multiply them you get 18. In this case these numbers are 6 and 3. Then:

 [tex]0=(x+6)(x+3)\\\\x_1=-6\\x_2=-3[/tex]

Therefore, the x-intercepts are:

(-3,0) and (-6,0)

find the equation of the line passing through the point (3,1) and (7,-7)

Answers

Y=-2/5x -1 is the answer I believe, if anything check Photomath, that should be the right slope double check the y-intercept by plugging it in with your points provided to u

Answer:y = -2x + 7

Step-by-step explanation:

The equation of a straight line when two points are given is y - y1 = m(x - x1) but m is gradient which is y2 - y1 / x2 - x1

Substitute the points (3 ,1 ) and (7 , -7)

To the gradient equation and solve for the gradient which is m = -2 .Now with the gradient and the first point (3 , 1) solve for the equation

:• y - 1 = -2(x -3 )

y - 1 = -2x +6

. y = -2x + 7

The circle given by : x^2 + y^2 - 6y - 12 = 0 can be written as:
x^2 + (y - k)^2 = 21.
What is the value of k in this equation?

Answers

Step-by-step explanation:

Given equation of circle is,

[tex] {x}^{2} + {y}^{2} - 6y - 12 = 0 \\ by \: compairing \: it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\2 g = 0 \: or \: g = 0 \\ 2f= - 6 \\ or \: f= - 3 \\ c = - 12[/tex]

again the another form of circle is,

[tex] {x}^{2} + {(y - k)}^{2} = 21 \\ or \: {x}^{2} + {y}^{2} - 2ky + {k}^{2} - 21 = 0 \\ by \: compairing \:it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\ g = 0 \\f = - k \\ c = {k}^{2} - 21[/tex]

now equating the values of f in both equations,

-k=-3

i.e. k=3

therefore k=3

A package of blank CDs usually costs $8.50. This week it's on sale for 15% off. What's the discount?

A: $.15
B: $.85
C: $1.28
D: $1.34

Answers

Answer:

1.28 is the amount you get off

Step-by-step explanation:

Answer: C: $1.28

Step-by-step explanation: took test

thomas want to save money for a vacation. thomas invest 1,200 in account that pays an interest rate of 4% how many years will it take for the account to reach 14,400. round to the nearest hundredth

Answers

Answer:

63.36 years

Step-by-step explanation:

This is a compound interest problem and the following information has been provided;

Principal, P = 1200

Interest rate, r = 4%

Accumulated amount, A = 14400

We are required to determine the number of years for the principal to accumulate to the given amount. We use the compound interest formula;

[tex]A=P(1+r)^{n}[/tex]

We substitute the given values into the formula and solve for n;

[tex]14400=1200(1+\frac{4}{100})^{n}\\12=(1.04)^{n}\\[/tex]

The next step is to introduce natural logarithms;

[tex]ln12=nln(1.04)\\n=\frac{ln12}{ln1.04}\\n=63.36[/tex]

Final answer:

Thomas has invested $1,200 at a 4% interest rate. Using the formula for compound interest and solving for time, it will take approximately 29.1 years for his account balance to reach $14,400.

Explanation:

Thomas has invested an amount of $1,200 into an account with a 4% interest rate. This type of problem involves the use of the formula for compound interest. The general formula for compound interest is: A = P(1 + r/n)^(nt), where:

A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money). r is the annual interest rate (in decimal). n is the number of times that interest is compounded per year. t is the number of years the money is invested for.

In this case, we assume the interest is compounded annually, so n = 1. We rearrange the formula to solve for t, giving us the formula t = log(A/P) / log(1 + r).

Substituting the given values into the formula, we get t = log(14400/1200) / log(1 + 0.04), which gives a result of approximately 29.1 years. So, it will take around 29.1 years for the account balance to reach $14,400.

Learn more about Compound Interest here:

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A new car is purchased for 23700 dollars.the value o the car depreciates at 13.5% per year what will be the value of the car be,to the nearest cent,after 10 years

Answers

it will be 31,995 but we have to estimate yo the nearest cent so 10 cents

Simplify completely.













Answers

Answer:

[tex]\large\boxed{\sqrt{27y^8}=3y^4\sqrt3}[/tex]

Step-by-step explanation:

[tex]\sqrt{27y^8}=\sqrt{9\cdot3\cdot y^{4\cdot2}}\\\\\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b},\ (a^n)^m=a^{nm}\ \text{and}\ \sqrt{a^2}=a\\\\=\sqrt9\cdot\sqrt3\cdot\sqrt{(y^4)^2}=3\cdot\sqrt3\cdot y^4=3y^4\sqrt3[/tex]

what is the reciprocal of -1

Answers

Answer:

I believe that the reciprocal of -1

Hope this helps

Step-by-step explanation:

hello!

In order to find the reciprocal of a number, we should just flop it over, like so:-

[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}}[/tex]

Flop it over:-

[tex]\sf{-\displaystyle\frac{1}{1} }[/tex]

There's something you should notice about this number.

No matter how we flop it over, we're going to end up with -1.

Hence, the reciprocal of -1 is:-

[tex]\boxed{-1}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Solve for h
Someone please help out

Answers

Answer:

[tex]\boxed{h=\frac{6}{b}}[/tex]

Step-by-step explanation:

Solving for [tex]h[/tex] is the same as isolating it. In this problem, we have the following equation:

[tex]6=bh[/tex]

So we need to do the following steps:

Step 1: Interchange the order of the equation:

[tex]bh=6[/tex]

Step 2: Divide the whole equation by [tex]b[/tex]:

[tex]\frac{1}{b}bh=\frac{1}{b}6[/tex]

Step 3: Simplify

[tex]h=\frac{6}{b}[/tex]

Finally, this h is in term of b and is:

[tex]\boxed{h=\frac{6}{b}}[/tex]

The polynomial of degree 3, P(x), has a root of. multiplicity 2 at x=1 and a roof of multiplicity 1 at x= -3. the y- intercept is y= 2.1. Find a formula for P(x)​

Answers

[tex]P(x)[/tex] has degree 3, so it takes the general form

[tex]P(x)=ax^3+bx^2+cx+d[/tex]

It has a root [tex]x=1[/tex] of multiplicity 2, which means [tex](x-1)^2[/tex] divides [tex]P(x)[/tex] exactly, and it has a root of [tex]x=-3[/tex] of multiplicity 1 so that [tex]x+3[/tex] also is a factor. So

[tex]P(x)=a(x-1)^2(x+3)[/tex]

Expanding this gives

[tex]P(x)=a(x^3+x^2-5x+3)=ax^3+ax^2-5ax+3a[/tex]

[tex]\implies\begin{cases}a=b\\-5a=c\\3a=d\end{cases}[/tex]

The [tex]y[/tex]-intercept occurs for [tex]x=0[/tex], for which we have

[tex]P(0)=d=2.1[/tex]

Then

[tex]3a=d\implies a=0.7[/tex]

[tex]a=b\implies b=0.7[/tex]

[tex]-5a=c\implies c=-0.14[/tex]

So we have

[tex]\boxed{P(x)=0.7x^3+0.7x^2-0.14x+2.1}[/tex]

Answer:

4

Step-by-step explanation:

on edge.

Today, a factory inspector found flaws in 2 out of 16 wooden boxes. If the inspector checks 24 boxes tomorrow, predict how many of the boxes will be flawed.

Answers

Answer:

3

Step-by-step explanation:

The assumed frequency of defects is 2/16.

When we apply this rate to 24, (2/16)*24, we get 3.

Therefore, we can assume around 3 defective boxes tomorrow.

What is the mode for the data set?

67, 73, 78, 71, 80, 74, 79, 76, 75, 70, 72


P.S: Not actually asking just for anyone with this question.

Answers

Mode is the number that most occurs in the data. From the given data set, there is no repeated number. Thus, there is no mode for the data set.

Answer:

I just took the test the answer is: None

Step-by-step explanation:

Irma picked 5/8 of a bushel and Matthew picked half as many. How many bushels did Matthew pick?

Answers

0.3125 is the correct answer

ANSWER

[tex] \frac{5}{16} [/tex]

bushels

EXPLANATION

It was given that,

Irma picked

[tex] \frac{5}{8} [/tex]

of a bushel.

If Mathew picked half as many bushels, then Mathew has:

[tex] \frac{1}{2} \times \frac{5}{8} = \frac{5}{16} [/tex]

Hence, Mathew has

[tex] \frac{5}{16} [/tex]

bushels.

Jesse takes his dog and cat fort their annual vet visit.Jesse's dog weighs 23 pounds.The vet tells him his cats's weight is 5/8 as much as his dog's weight.How much does his cat weigh?

help me lol its late

Answers

The cat weighs 14.375 pounds (or 230 ounces even).

Hope this helps!

Find the product
( 5/3 )( 2/3 )(21)

A)
1
20

B)
20
3

C)
3
70

D)
70
3

Answers

Answer:

D 70/3

Step-by-step explanation:

5 /3 * 2/3 * 21

10/9 * 21/1

210/9

We can divide by 3 on the top and bottom

70/3

the final product is 70/3, making the correct answer D).

The question asks to find the product of the numbers (5/3), (2/3), and 21. To solve this, we will multiply these numbers step by step.

Multiply the two fractions: (5/3) * (2/3) = 10/9.Now, multiply the result by 21: (10/9) * 21 = 210/9.Simplify the result if possible: 210/9 = 70/3, which cannot be simplified further.

So, the final product is 70/3, making the correct answer D).

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-1 1/4 + 1/2

Answers

Answer:

Work:

first you want to change 1/2 so the denominator is a 4

1/2 is equivalent to 2/4

now you have -1 1/4 + 2/4

then you want to get rid of the whole number and make -1 1/4 into a fraction

-1 is -4/4 so add that to the 1/4

now you have -5/4 + 2/4

you can add that now easily and get -3/4

Answer:

-3/4 aka C                                                  hope this helped

Allison is closing on a house on september 17. The buyer owns the property on the day of the closing. The selling price of the gone is $200,500. Allison was accepted for a 25-year fixed-rate mortgage for $185,000 at 6.25% interest. The seller has paid $2,560.43 in property taxes for the coming year. How much will Allison owe in prorated taxes and interest.

Answers

Answer:

197,500

Step-by-step explanation:

200500*25-184000/6.25-2560.43=4980499.57 Which rounds to 197,500.

Allison owes approximately $1,380.50 in prorated taxes and interest for the property she's closing on September 17.

To calculate the prorated taxes and interest that Allison owes, we need to break down the calculation into two parts: prorated property taxes and prorated interest.

1. **Prorated Property Taxes:**

  - Allison is closing on September 17, which means she will own the property for 106 days of the year (September 17 to December 31).

  - The seller has already paid $2,560.43 in property taxes for the entire year.

  - To calculate Allison's portion of the property taxes, we need to divide the seller's payment by the number of days in the year and then multiply by the number of days Allison will own the property.

Prorated Property Taxes = Seller's Property Tax Payment/

Days in Year × Days Allison Owns the Property

 [tex]\[ \text{Prorated Property Taxes} = \frac{2,560.43}{365} \times 106 \][/tex]

 [tex]\[ \text{Prorated Property Taxes} = \frac{2,560.43}{365} \times 106 = 741.12 \][/tex]

2. **Prorated Interest:**

  - Allison is taking out a 25-year fixed-rate mortgage for $185,000 at 6.25% interest.

  - To calculate the prorated interest, we need to find out how much interest Allison will owe for the remaining days of September.

 Daily Interest Rate [tex]$=\frac{\text { Annual Interest Rate }}{\text { Days in Year }}=\frac{6.25 \%}{365}$[/tex]

  Prorated Interest for September = [tex]Loan Amount $\times$ Daily Interest Rate $\times$ Number of Days in September[/tex]

  [tex]\[ \text{Prorated Interest for September} = 185,000 \times \frac{6.25\%}{365} \times 14 \][/tex]

 [tex]\[ \text{Prorated Interest for September} \approx 639.38 \][/tex]

Now, let's add up the prorated property taxes and prorated interest:

[tex]\[\text{Total Prorated Taxes and Interest} = \text{Prorated Property Taxes} + \text{Prorated Interest for September}\][/tex]

[tex]\[\text{Total Prorated Taxes and Interest} = 741.12 + 639.38\][/tex]

[tex]\[\text{Total Prorated Taxes and Interest} = 1380.50\][/tex]

So, Allison will owe approximately $1,380.50 in prorated taxes and interest.

What kind of shape is this?

Convex nonagon

Concave octagon

Concave nonagon

Concave decagon

Answers

the answer is a concave decagon

Answer:

I believe this is a "Concave Decagon."

Step-by-step explanation:

A Decagon consists of 10 sides. This abstract shape has 10 sides, so this shape is a Decagon.

Hope this helps! :)

Write the polar equation as a set of parametric equations.

r=3sinθ
Show all work.

Answers

Answer:

[tex]x=t[/tex]

[tex]y=\pm\sqrt{3t-t^2}[/tex]

Step-by-step explanation:

The given polar equation is;

[tex]r=3\sin \theta[/tex]

We multiply  both sides by r

[tex]r^2=3r\sin \theta[/tex]

The corresponding rectangular equation is

[tex]y^2+x^2=3x[/tex]

[tex]y^2=3x-x^2[/tex]

[tex]y=\sqrt{3x-x^2}[/tex]

Let x=t,

Then;

[tex]y=\pm \sqrt{3t-t^2}[/tex]

What is greatest value of the data represented by the box plot?

Answers

45, it is the highest number in the range

i don't need it but brainliest it is appreciated

What are all the triangles in geometry? And the angles too

Answers

Equilateral triangle: all sides are equal lengths, all angles are equal too

Scalene triangle: has three different sides, all angles are different

Isosceles triangle: 2 sides are equal, one isn’t, 2 angles are the same, one is different

Acute triangle: angles are less than 90 degrees

Obtuse triangle: angles are larger than 90 degrees

Right triangle: angle forms a 90 degree angle

Those are the triangles :)

Final answer:

There are different types of triangles in geometry, including equilateral, isosceles, and scalene triangles. The sum of angles in a triangle is always 180 degrees.

Explanation:

In geometry, there are several types of triangles, including:

Equilateral triangle: All three sides are equal in length, and all three angles are equal to 60 degrees.Isosceles triangle: Two sides are equal in length, and two of the angles are also equal.Scalene triangle: All three sides have different lengths, and all three angles are different.Right triangle: One angle is a right angle (90 degrees).

As for the sum of angles in a triangle, it is always 180 degrees. This is known as the Triangle Angle Sum Theorem

GETS BRAINLIEST!!
There are 10 students in a class. The teacher chooses 3 students to go to the library. The order in which they are chosen does not matter. How many ways are there to choose the students ?

Answers

A class consists of ten individuals. The instructor selects three kids to accompany her to the library. It makes no difference in whatever sequence they are picked. There are 120 options for selecting pupils.

What are permutations and combinations?

A permutation is a process of putting items or pieces in a certain order. Combinations are a method of picking things or pieces from a set of objects or collections when the order of the objects is irrelevant.

No of student=10

Students to be choosen=3

The ways are there to choose the students are found with the help of combination as;

If n is the number of the ways:

n= 10C₃

[tex]\rm nCr = \frac{n!}{r!(n-r)!}\\\\[/tex]

Where n is the total of students and r is the teacher to be chosen:

[tex]\rm 10 C_3= \frac{10 !}{3!7!}\\\\ 10 C_3= \frac{3628800}{30240} \\\\ n=120[/tex]

Hence, there is 120 no of ways are there to choose a student.

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Answer: A class consists of ten individuals. The instructor selects three kids to accompany her to the library. It makes no difference in whatever sequence they are picked. There are 120 options for selecting pupils.

Step-by-step explanation:

HELP ME PLZZZZZZZ!!!!!

Answers

The answer is A because the input is x and the out put is y so that would make it 9.

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Erica went shopping for art supplies. The watercolor set was 30% off its regular price of $20.00. What did she pay for the watercolors? Jason is making a presentation on power dressing. Jason completes the presentation on his laptop. However, on the day of delivery, the laptop only works intermittently. Which step can Jason take to deliver the presentation despite the glitch ?A) postpone the presentation to another dayB) copy the presentation to a cd and copy it to another laptop/computer C) email the presentation to all the participants D) quickly print all the slides of the presentation and refer to them E) leave the presentation aside and just talk on the topic itself Answer all questions on there plz 100 points come on Federal is defined as __________. After the death of emperor ______ in A.D. 180,rome split into 2 parts? Read the passage. I have seen roses damasked, red and white, But no such roses see I in her cheeks; And in some perfumes is there more delight Than in the breath that from my mistress reeks. I love to hear her speak. Yet well I know That music hath a far more pleasing sound. I grant I never saw a goddess go; My mistress, when she walks, treads on the ground. What ideas does the speaker express about his love in these two quatrains from Sonnet 130 by William Shakespeare? He changes his mind about the way he feels about his love. His love is not idealized because she is inferior to things in nature. He compares his love to a goddess. His love has beauty that is superior to roses, perfume, and music. Find the value of 2 numbers if there sum is 12 and their difference is 8 N a flower garden, there are 4 tulips for every 8 daisies. If there are 32 tulips, how many daisies are there? A photoelectric effect experiment finds a stopping potential of 1.93 V when light of wavelength 200 nm is used to illuminate the cathode.a.) what metal is the cathode made?b.) what is the stopping potential if the intensity of light is doubled? Please answer Ill rate brainlyest Which of the following is most negatively affected by fishing practices? a. deep sea corals b. ocean microbes c. methane hydrates d. autonomous underwater explorers look at picture and plzz help answer is more than one option Which skill type refers to the knowledge and ability to perform a task?David has the knowledge and ability to program computer systems. He has sound _____skills. Can you help I dont really understand 5 - _________a0 = 14Have no idea how to attempt this problem, and have told math teachers I cant figure it out, but they are not helping. Please help if you can. Thanks in advance. Find the next three terms in the sequence. 6, 11, 16, 21, . . .A) 26, 31, 36B) 31, 36, 41C) 205, 525, 2625D) 16, 11, 6 Identify and explain the significance: Black Tuesday Great Depression Herbert Hoover Franklin D. Roosevelt New Deal Social Security Act If f(x)=x+7 and g(x)=1/x, what is (fg)(x)? __________ constitute the largest non-hispanic immigrant population from the caribbean. haitians jamaicans cubans kenyans John starting playing video games as soon as he got home from school. He played video games for 15 minutes. Then, it took John 45 minutes to finish his homework. When John finished his homework, it was 3:15 P.M. What time did John get home from school? Steam Workshop Downloader