Given an angle of a triangle and the opposite side length; which trigonometric function would you use to find the hypotenuse? a TAN b COS c SIN d Not enough information

Answers

Answer 1

Answer:

Sin

Step-by-step explanation:

Sin < = opposite/hypotenuse


Related Questions

How can I find how many 13 are in 33?

Answers

Answer:

therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)  

Step-by-step explanation:

Long division:

13  33

13*2 = 26

33 - 26 = 7

we have: 33/13 = 2 r7

we know that we can rewrite the remainder as 7/13

therefore, 33 divided by 13 equals 2 and 7 thirteenths (can be rewritten as 2 7/13)  

a jar had 6 red marbles and 4 blue marbles. you randomly choose two marbles. find the probability that both marbles are red.

Answers

Hey there! I'm happy to help!

If we have 6 red marbles and 4 blue marbles, we have 10 total marbles.

First, we have the probability that a marble we draw is red, which is 6/10. This simplifies to 3/5.

If this happens, there are only 5 red marbles left and 9 total ones. So, the probability of drawing a red one again is 5/9.

We multiply these two probabilities together to see the probability of them both happening.

[tex]\frac{3}{5} *\frac {5}{9}= \frac{1}{3}[/tex]

The probability that both marbles are red is 1/3.

Have a wonderful day! :D

please help me solve

Answers

Answer:

18 square centimeters

Step-by-step explanation:

Notice that if e is the midpoint of the side CB, and angle [tex]\angle x = 45^o[/tex], then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 [tex]cm^2[/tex]

Answer:

(B)  18

Step-by-step explanation:

The angle x is 45 degrees.  Since it is bisecting a 90 degree angle, the angle on the other side is 45 degrees.

90 - 45 = 45

Since AB is 3, DC is 3.  Since the right triangle DC is 45-90-45, the other side, CE, will also be 3.  Since CE is half of the side of the rectangle, multiply it by 2 to get 6.  The sides of the rectangle are 3 and 6.  Use the formula for area of a rectangle to solve.

A = lw

A = (6)(3)

A = 18

The answer is B.

23. (a) The area of a rhombus is 90 cm. If the length of a diagonal is 18 cm. calculate the length of the
other diagonal
(b) The diagonals of a rhombus are 28 cm and 24 cm. Find the area of the rhombus.
10) () The height of a trapezium is 12 cm. Find the sum of its parallel sides if its area is 210 cm.
(ii) If the longer side is 2 times the length of the shorter side. find the length of the longer side.

Answers

Answer:

Step-by-step explanation:

a) area of rhombus = 1/2 × d1 × d2 = 90cm^2

here d1 and d2 are the diagonals

d1 = 18 cm

1/2 × 18 × d2 = 90

9 × d2 = 90

d2 = 90/9

d2 = 10 cm

∴The length of other diagonal is 10 cm

b) d1 = 28 cm

d2 = 24 cm

area = 1/2 × d1 × d2

= 1/2 × 28 × 24

= 336 cm^2

∴ The are of the rhombus = 336 cm^2

Hope this helps

plz mark as brainliest!!!!!

[tex]\frac{63,756×60}{70×5,280}[/tex]

Answers

Answer:

[tex]1035[/tex]

Step-by-step explanation:

(63756×60)/(70×5280)

=1035

Express 0.504 as a fraction in its lowest term​

Answers

Answer:

63/125

Step-by-step explanation:

Turn the decimal .504

=> 504/1000

=> 504/1000 = 252/500

=> 252/500 = 126/250

=> 126/250 = 63/125

=> 63/125 cannot be simplified anymore.

So, 63/125 is the simplified fraction of .504

f(x)=x^2 what is g(x)?

pls help me

Answers

g(x) = ax^2
y = ax^2
5 = a(1)^2
a = 5
Therefore, g(x) = 5x^2

Does someone know how to solve this?

Answers

Answer:

6 quarts

Step-by-step explanation:

8 bags

--------

2 quarts

Multiply top and bottom by 3

8*3 bags

--------

2*3 quarts

24 bags

--------------

6 quarts

Answer:

6

Step-by-step explanation:

2 quarts of iced tea = 8 tea bags.

x quarts of Iced tea = 24 tea bags

=> 2/8 = x/24

=> Multiply the extremes and means

=> 8x = 48

=> 8x / 8 = 48 / 8

=> x = 6

6 quarts of iced tea can be made with 24 tea bags.

Can someone PLEASE help with this question? thank you

Answers

Answer:

C) 1

Step-by-step explanation:

First half:

Invert and multiply

x²/y²*y³/x²=x²y³/y²x³=y/x

Second half:

Invert and multiply

1/y*x/1=x/y

Combine

y/x*x/y=xy/xy=1

help me Complete each sentence to describe the algebraic expression 9 + y. The variable in the expression is . The operation in the expression is . The constant in the expression is .

Answers

Answer:

'y', "addition", '9'.

Step-by-step explanation:

The variable is an unknown value in an algebraic equation or expression. It is represented by a letter.

'y' would be the variable in the given equation.

The operation in the expression is addition. The '+' sign represents addition, which means 9 and 'y' would be added together to get the sum.

Constants are terms in a expression or equation that contains no variables. This means that constants are only numbers.

'9' would be the given constant in the expression.

Hope this helps.

Answer:

y

+

9

Step-by-step explanation:

. Find two polynomial expressions whose quotient, when simplified, is 1/x . Use that division problem to determine whether polynomials are closed under division.

Answers

Answer:

The two polynomials are:

(x + 1) and (x² + x)

Step-by-step explanation:

A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.

Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.

Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.

So,

Let's multiply both numerator and denominator by (x + 1) to get;

(x + 1)/(x(x + 1))

This gives; (x + 1)/(x² + x)

Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.

The sales tax for an item was $15.60 and it cost $390 before tax. Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

15.60 times 100 divided by 390=4%

Step-by-step explanation:

The required sales tax rate percentage is 4%.

The sales tax for an item was $15.60 and it cost $390 before tax. To find the sales tax rate. Write your answer as a percentage.

What is the percentage?

the percentage is defined as, the composition of something out of whole inbounds of 100.example 10% of 150 = 10 * 150/100
                                                                = 15
It shows that 10 percent of 150 is 15.

sales tax = $15.60
cost = $390
To get the sales tax percentage we have to find out the tax composition of tax to the cost. So,
Sale tax percent = sale tax/cost  * 100
                            = 15.60/390   * 100
                            = 0.04 * 100
                            = 4 %

Thus, the required sales tax rate percentage is 4%.

Learn more about percent here:
https://brainly.com/question/14699403

#SPJ5

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The two inequalities that show the solution to these equations are n ≥ 55 and y ≥ 6

Step-by-step explanation:

We are given two inequalities that we have to solve. We can solve these inequalities as if we are solving for the variable.

n/5 ≥ 11

Multiply by 5 on both sides.

n ≥ 55

Now, let's do the second one.

-3y ≤ -18

Divide by -3 on both sides. When we divide by a negative in inequalities, then the sign is going to flip to its other side. So, this sign (≤) becomes this sign (≥)

y ≥ 6

max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed? speed=d/t Time =d/s​

Answers

Answer:

x = 11.5 hours

Step-by-step explanation:

Set up a proportion:

[tex]\frac{460}{8}[/tex] = [tex]\frac{661.25}{x}[/tex]

661.25/460 = 1.4375

Multiply 8 by 1.4375 to find x:

8(1.4375) = 11.5

x = 11.5 hours

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.

Answers

7/3 is the average rate of change.

Average rate of change of a function f(x) between any x values a and b = slope of the secant line connecting f(a) and f(b). This means (f(b)-f(a))/ (b-a). If a=0 and b=3, the average rate of change equals (f(3)-f(0))/(3-0).
f(3)=8+1=9, and f(0)= 1+1=2. So the average rate of change is (9-2)/3= 7/3.

What is 33⁄5 as an improper fractions

Answers

Answer:

6 3/5

Step-by-step explanation:

33/5 = 6 R3

Answer:

6.6

Step-by-step explanation:

33÷5=6.6

33 divided by 5equal

Possible Points: 100 One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After si hours, what was the temperature?

Answers

29 personal briefing on my p

PLEASE HELP ME ASAP Find the total surface area.

Answers

Answer:

[tex]243.2cm^{2}[/tex]

Step-by-step explanation:

Step 1: Understand what this shape is constructed out of

2 Congruent Trapezoid

2 Congruent Rectangles

1 Small Rectangle

1 Large Rectangle

Step 2: Find the surface area of the shapes

Area of 2 Trapezoids =[tex](\frac{a+b}{2}h)2=(\frac{4+6}{2}2.8)2=(\frac{10}{2}2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^{2}[/tex]

Area of 2 Rectangles = [tex](3)(10)(2)=(60)(2)=120cm^{2}[/tex]

Area of Smaller Rectangle = [tex](4)(10)=40cm^{2}[/tex]

Area of Larger Rectangle = [tex](6)(10)=60cm^{2}[/tex]

Step 3: Add the surface areas up

[tex]23.2cm^{2} +120cm^{2} +40cm^{2} +60^{2} =243.2cm^{2}[/tex]

Therefore the surface area of the Trapezoidal Prism is [tex]243.2cm^{2}[/tex]

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. Find BC if AB=2x-12, AC=14, and BC=x+2

Answers

Answer:  BC = 10

======================================================

Work Shown:

The term "collinear" means all points fall on the same straight line.

Point B is on segment AC.

Through the segment addition postulate, we can say

AB+BC = AC

This is the idea where we glue together smaller segments to form a larger segment, and we keep everything to be a straight line.

Apply substitution and solve for x

AB+BC = AC

2x-12+x+2 = 14

3x-10 = 14

3x = 14+10

3x = 24

x = 24/3

x = 8

Then we can find the length of BC

BC = x+2

BC = 8+2

BC = 10

--------

Note that AB = 2x-12 = 2*8-12 = 16-12 = 4

and how AB+BC = 4+10 = 14 which matches with AC = 14

Therefore we have shown AB+BC = AC is true to confirm the answer.

Collinear points are points on the same line.

The value of BC is 10

Since points A, B and C are on the same line, where B is between points A and C.

So, we have:

[tex]AC = AB + BC[/tex]

Substitute values for AC, AB and BC

[tex]14 = 2x - 12 + x + 2[/tex]

Collect like terms

[tex]2x +x =14 + 12 - 2[/tex]

[tex]3x =24[/tex]

Divide both sides of the equation by 3

[tex]x =8[/tex]

Substitute 8 for x in BC = x + 2

[tex]BC =8 + 2[/tex]

[tex]BC =10[/tex]

Hence, the value of BC is 10

Read more collinear points at:

https://brainly.com/question/15806521

Can someone help me find the amount on year 11

Answers

Answer:

525 dollars

Step-by-step explanation:

simple interest yearly ( year 11 does not count because the question asking at the amount at the  beginning of year 11)

interest=300*0.075*10= 225

the amount in the account : 300+225=525 dollars

How many solutions does this system of inequalities have graphed below

Answers

Answer:

There is only one solution set.

Step-by-step explanation:

The set can contain any number of solutions or none.

This is all I know, hope it helps.

A can do a piece of work in 10 days and B in 12 days.
With the help of C they can finish the work in 4 days. How
long will C take to do it alone?
a) 12 days b) 15 days c) 18 days d) 20 days​

Answers

Answer:

B. 15 days

Step-by-step explanation:

A=10=1/10 of the job

B=12=1/12 of the job

A+B+C=4=1/4 of the job

A+B

=1/10 + 1/12

=10+12/120

=22/120

=11/60

(A+B+C) - (A+B)

=1/4 - 11/60

=5 - 11/60

=4/60

=1/15

It would take C alone 15 days to finish the job

how many are 5 raised to 2 ???​

Answers

Answer:

25

Step-by-step explanation:

5^2

This is 5 multiplied by itself 2 times

5*5

25

AYUDA CON ESTO!!! ALGUIEN PORFAVOR

Answers

Answer:

Problem 1)  frequency:  160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)

Problem 2) Runner B has the smallest period

Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.

Step-by-step explanation:

The frequency of the football player is 160 heartbeats per minute.

The period is (using the equation you showed above):

[tex]Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds[/tex]

second problem:

Runner A does 200 loops in 60 minutes so his frequency is:

[tex]\frac{200}{60} = \frac{10}{3} \approx 3.33[/tex]   loops per minute

then the period is: 0.3 minutes (does one loop in 0.3 minutes)

the other runner does 200 loops in 65 minutes, so his frequency is:

[tex]\frac{200}{65} = \frac{40}{13} \approx 3.08[/tex]   loops per minute

then the period is:

[tex]\frac{13}{40} =0.325\,\,\,minutes[/tex]

Therefore runner B has the smaller period

Tony gets paid $5 per hour to babysit his cousin. This weekend, he babysat on
both Saturday and Sunday. He made a total of $55. Tony babysat for 6 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.

Answers

Answer:

5 hours

Step-by-step explanation:

55/5 is 11 (he worked 11 hours total). 11-6 is 5

Answer:

5 hours on Saturday

Step-by-step explanation:

x = hours

5x + 6(5) = 55

5x + 30 = 55

5x = 25

x = 5

When the factors of a trinomial are (x-p) and (x+q) then the constant teen of the trinomial is

Answers

(x-p)(x-q)

y(x-q) .... let y = x-p

yx - yq ... distribute

x(y) - q(y)

x(x-p) - q(x-p) ... replace y with x-p

x^2 - px - qx + pq .... distribute

x^2 + (-p-q)x + pq

The last expression is in the form ax^2+bx+c with a = 1, b = -p-q and c = pq

The constant term is the term without any variable x attached to it (either x or x^2), so the constant term is pq

Complete the sequence
8,27,64,125,.........
Just next letter

Answers

Answer:

216.

Step-by-step explanation:

These numbers are perfect cubes starting with 2^3.

2^3, 3^3,  4^3,  5^3 so the next one is 6^3, which is 216.

For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.

Answers

Answer:

Ok, our function is:

f(x) = 3*(x - 1)^2 + 2.

First, domain:

We should assume that the domain is all the set of real numbers, and then we see if for some value we have a problem.

In this case we do not see any problem (we can not have a zero in the denominator, and there is no function that has problems with some values of x)

Then the domain is the set of all real numers.

Vertex:

Let's expand our function:

f(x) = 3*x^2 - 3*2*x + 1 + 2

f(x) = 3*x^2 -6*x + 2

The vertex of a quadratic function:

a*x^2 + b*x + c is at:

x = -b/2a

here we have:

a = 3 and b = -6

x = 6/2*3 = 6/6 = 1.

And the value of y at that point is:

f(1) = 3*(1 - 1)^2 + 2 = 2

Then the vertex is at: (1, 2)

Range:

The range is the set of all the possible values of y.

Ok, we can see that the leading coefficient is positive, this means that the arms of our quadratic function will go up.

Then the minimal value of our quadratic function is the value at the vertex, y = 2.

This means that the range can be written as:

R = y ≥ 2

So the range is the set of all real numbers that are larger or equal than 2.

Aug 19,7:01:38 PM
Kylie is moving and must rent a truck. There is an initial charge of $50 for the rental
plus a fee of $3 per mile driven. Make a table of values and then write an equation for
C, in terms of m, representing the total cost of renting the truck if Kylie were to
drive m miles.
Number of Miles Driven Total Cost to Rent Truck

Answers

Answer:

0 miles- $50

1 mile- $53

2 miles- $56

3 miles-$59

Step-by-step explanation:

you add $3 to the original 50 as you go each mile.

(-3)+(-5)

What are the signs and places

Answers

What do the places mean? I’d say the signs are negative since both values are (-3) and (-5), but i don’t know what you mean by placed - if they were placed in a number line, it would go 3 and 5 values left or down.
Other Questions
Martha, who is single, has a main home in Houston. In the current year, she rented it for 10 days, receiving $5,000 in rental income. Martha paid $20,000 in mortgage interest and $10,000 in real estate taxes on her home in the current year. What is the net effect of these items on her adjusted gross income g Earth is also our habitat and our dear home. But do we treat it as our home or our house? Reflect on it and suggest ways to make earth a beautiful home for all. Create a Web-chart mentioning the qualities that you would like to see in your home. A car moving at 36 m/s passes a stationary police car whose siren has a frequency of 500 Hz. What is the change in the frequency (in Hz) heard by an observer in the moving car as he passes the police car? (The speed of sound in air is 343 m/s.) PLEASE HELP!!!!! Identify key political and cultural achievements of the Mauryan and Gupta Empires and their impact on trade during this time( Real Answers Please) which of Earth's systems was most affected by fossilized dinosaurs The algebraic expression for the product of five and the cube of a number decreased by 40 Plz help Ill mark brainliest Please help! Find the surface area of the composite figure A client has a BMI of 24.8, which of the following categories would they fall into? You have just read a news article that discusses the closing of two fast-food restaurants in a small French town in the countryside. Why might these restaurants have failed in the town? I am a 2 dimensional shape that has four sides. I have two obtuse angles and two acute angles. I have two different sets of parallel sides. I also have two sides that are one length, and my other two sides are a different length. What percentage of the Earth's surface do forests cover? 20% 30% 40% 10% Molly and Craig are the original parties to a contract. Craig is obligated to design a Website for Molly. They subsequently make an agreement with Eric that Eric should take the place of Craig and assume all of Craig's rights and duties under the contract. The agreement releases Craig from his obligations under the contract. This agreement is How far from the base of the house do you need to place a 13-foot ladder so that it exactly reaches the top of a 10-feet wall? PLEASE ANSWER QUICKLY Which statement about cell theory is INCORRECT? New cells are spontaneously created from existing cells. All organisms are composed of one or more cells. Cells are the basic unit of life and structure. New cells are created from existing cells. What is computer Network? which do you think is more important, money or health? Compare the two and decide if one is more important than the other. Give your reasons. A farm is currently producing at point C on this curve.If they decided to move production to any other point on the curve, what would be the MOST LIKELY result.The farm would make more money since they would produce more apples or oranges.The farm would face trade offs in production of apples or oranges.The farm would produce more apples and less oranges. Select the correct answer. Into which two countries did Islam spread through trade rather than through conquest? India Indonesia Iraq Malaysia Persia