In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y the unknown side

Answers

Answer 1

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m


Related Questions

Which of the following r one dimensional figures?
check all that apply.
a. ray
b. angle
c. square
d. point
e. segment
f. line

Answers

Answer:

a. ray

e. segment

f. line

Step-by-step explanation:

Info on dimensions:

A Point has no dimensions A Line is one-dimensional A Plane is two dimensionalA Solid is three-dimensional

Let's see number of dimensions of figures:

a. ray

One dimension

b. angle

Two dimensions

c. square

Two dimensions

d. point

Zero dimension

e. segment

One dimension

f. line

One dimension

Help please: (n^4)^-3(n^4)^-1

Answers

Answer:

1/n^16

Step-by-step explanation:

Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.

Answers

Answer:

62.5 %

Step-by-step explanation:

Take the original amount and subtract the new amount

32-12 = 20

Divide by the original amount

20/32 =.625

Multiply by 100 to get to percent form

62.5 %

At the end of the first round of a game, Luis has a score of -5 points. At the end of the second round, he has a score of 3 points. How many points did he score in the second round? Complete this model to represent the problem: score at the end + = ? of the first round

Answers

7 points I think because -5+7 =3 therefore it should be 7

Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area
of the door to see if she has enough paint.
80 cm
1
200 cm
3 cm
What is the surface area of the door?

Answers

Answer:

please give more clarification

Answer:

33680

Step-by-step explanation:

6. Suppose you bought supplies for a party. Three rolls of streamers and 15 balloons
cost $30. Later, you bought 2 rolls of streamers and 4 balloons for $11. How much did
each roll of streamers cost? How much did each balloon cost?

Answers

Answer:

Streamers are $2.50 each

Balloons are $1.50 each

Step-by-step explanation:

Make a system of equations

3s + 15b = 30

2s + 4b = 11

Solve by elimination: multiply the top equation by 2 and the bottom equation by -3.

6s + 30b = 60

-6s -12b = -33

18b = 27

b = 1.5

Plug in 1.5 as b to find s

3s + 15(1.5) = 30

3s +22.5 = 30

3s = 7.5

s = 2.5

The streamers are $2.50 and the balloons are $1.50

HELP! ITS ABOUT SURVEYSSS EXPLANATION NEEDED

Answers

Answer:

B is the correct answer (Check the explanation below)

Step-by-step explanation:

Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)

Probability of boys who do not play =858/2451 = 0.35 or 35%

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%

Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%

Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%

you can see the correct statement is

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

total number of girls is 2996 and we found out almost 54% do not play and almost 45% play

4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.
How much juice do five bottles hold?
[tex]4 \frac{1}{2} litres[/tex]

Answers

Answer:

2[tex]\frac{1}{2}[/tex] litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4[tex]\frac{1}{2}[/tex] litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4[tex]\frac{1}{2}[/tex] litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4[tex]\frac{1}{2}[/tex] litres

5 juice bottles ===> x

∴x = [tex]\frac{5 * 4\frac{1}{2} }{9} litres[/tex]

x = [tex]\frac{5 * 4.5}{9} litres[/tex]

x = [tex]\frac{22.5}{9} litres[/tex]

x = 2.5 litres or 2[tex]\frac{1}{2}[/tex] litres

Hope this helps!!!

Which of the following represents a function?

Answers

Answer: C, a set of coords is only a function if it passes the vertical line test

Step-by-step explanation:

This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test

B easily fails the test just by visually looking at it. It fails the line test

C has different x values so this looks promising. It passes the line test

D has the number 5 correlating with multiple y values. It fails the line test

The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..

Answers

Answer:

First tale nth term and find relation of a , d, n

Try yourself

What is 1/7 x 140 ( Multiplying fractions by whole numbers using tape diagrams)

Answers

Answer:

20

Step-by-step explanation:

20 is your answer

Use the fishbowl to answer the following question.

a. How many fish are there in the bowl? fish.

b. Which color fish has the highest probability of being fished?

c. What is the probability of choosing this color?

Fraction

Decimal (provide the first 5 decimal numbers & yes round the number)

Percent % (round to the nearest tenth)

Answers

Answer:

a) 14

b) green

c) fraction 6/14

percentage: 42.8% rounded: 40%

not sure about the decimal tho

Answer:

a) 14

b) green

c) 6/14

d)percent 42.8 %

round up 40 %

3.
Which of the following points lie on the x-axis?
(A) (3,4)
(B) (7,0)
(C) (0,8)
(D) (-9,0)

(F) (-3,-5)

Answers

Answer:

D and B is the answer

Step-by-step explanation:

Here is a graph with the points

John’s garden has an area of 28 square feet. The rectangular garden is 7 feet long. What is the width of the garden

Answers

Answer:

the width is 4

Step-by-step explanation:

7 times 4= 28

or

28 divided by 7

Question 2
Move point B some more. As you move point B, the angle formed between AB and CD varles. If you want to make AB perpendicular to CD
what do you need to do? Explain in terms of BEC

Answers

Answer: to make AB perpendicular to CD move point B until the angle between the lines, BEC measures 90 degree

Step-by-step explanation:

What is the greatest decimal place value?

Answers

Answer:

the digit farthest to the left

Answer:

The digit farthest to the left.

Step-by-step explanation:

I hope this helps

If f(x)= x2 + 7; Find x if f(x)= 23

Answers

Answer:

x = 4, -4

Step-by-step explanation:

f(x)= x^2 + 7

f(x) =23

23 = x^2+7

Subtract 7 from each side

23-7 = x^2 +7-7

16 = x^2

Take the square root of each side

±sqrt(16) = sqrt(x^2)

±4 = x

How much would $100 invested at 6% interest compounded monthly be worth after 20 years? Round to the nearest cent.

Answers

Answer:$331.02

Step-by-step explanation:

you got it right on a p e x

Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)

Answers

Answer:

The slope is 3/8

The y intercept is 75/8

Step-by-step explanation:

The slope is found by

m= (y2-y1)/(x2-x1)

   = (9-6)/(-1- -9)

   = (9-6)/(-1+9)

    =3/8

The y intercept is found by

y = mx+b where m is the slope and b is the y intercept

y = 3/8 x+b

9 = 3/8(-1) +b

Getting a common denominator

72/8 = -3/8 +b

Add 3/8 to each side

75/8 = b

The y intercept is 75/8

Answer:

3/8, 9 3/8

Step-by-step explanation:

y= mx+b

m=(y2-y1)/(x2-x1)

L (-9, 6) and M(-1, 9)

slope is:

m= (9-6)/(-1+9)= 3/8

y- intercept is:

6=3/8*(-9)+bb= 6+27/8= (48+27)/8= 75/8= 9 3/8

A student was given 32 problems he did 1/4 of them on monday and 1/2 of them on tuesday. find the unsolved problem.. PLEASE HELP

Answers

12 unsolved problems?

Answer:

8 problems

Step-by-step explanation:

32 - 32*1/4 - 32*1/2= 32 - 8 - 16= 8 problems

Please help someone help me! Correct answer only! This assignment is due today.

A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

please help!!!!!!! just click on picture to see question

Answers

Answer:

g(n) = - 19 + (n - 1)*6

Step-by-step explanation:

The way to do this is to try a couple and then see if you can make some sort of equation that follows the rule.

g(1) = - 19

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

g(2) = g(2 - 1) + 6

g(2) = g(1) + 6

g(2) = -19 + 6

g(2) = -13

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

g(3) = g(2) + 6

g(3) = -13 + 6

g(3) = - 7

==========

g(4) = g(3) + 6

g(4) = - 7 + 6

g(4) = - 1

==========

g(5) = 5

g(6) =11

===========

Now the hard part. You have to start  with - 19

The nth term is g(n) = - 19 + (n - 1)*6

Now see if it works.

g(7) = - 19 + (7 - 1)*6

g(7) = - 19 + 6 * 6

g(7) = -19 + 36

g(7) = 17

Is that correct?

g(7) = g(n - 1) + 6

g(7) = g(6) + 6

g(7) = 11 + 6

g(7) = 17 Seems to be the same as the explicit formula gives.

Part 3. Identify the X intercepts for

y = (x+4)^2-9​

Answers

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9​

To find x-intercept, set y = 0

=>  (x + 4)^2 - 9​ = 0

=>  ( x + 1)( x + 7) = 0

=> x = -1 or x = -7

To find the x intercepts, plug in y = 0 and solve for x

y = (x+4)^2 - 9

0 = (x+4)^2 - 9 ... replace y with 0

9 = (x+4)^2

(x+4)^2 = 9

x+4 = plus/minus sqrt(9)

x+4 = sqrt(9)  or   x+4 = -sqrt(9)

x+4 = 3   or   x+4 = -3

x = 3-4    or   x = -3-4

x = -1     or     x = -7 You have the correct answers. Nice work.

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

Checking each answer:

Plug x = -1 into the original equation. You should get y = 0 as a result

y = (x+4)^2 - 9

y = (-1+4)^2 - 9

y = (3)^2 - 9

y = 9-9

y = 0 .... so this confirms x = -1 as a solution

The same should apply for the other potential solution x = -7

y = (x+4)^2 - 9

y = (-7+4)^2 - 9

y = (-3)^2 - 9

y = 9-9

y = 0 .... this confirms x = -7 as well

X2=

a. 48
b. 16
c. 12

Answers

Answer:

16

Step-by-step explanation:

x^2 = whole * part

x^2 = (6+2) * 2

x^2 = 8*2

x^2 = 16

Answer:

16

Step-by-step explanation:

Hope this helps.

If you find answers that say 48 for this same problem, they are incorrect.  Please disregard them.

Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)​

Answers

Answer:

2x²  +  3x  - 1   - 5/(5x +2)

Step-by-step explanation:

               2x²  +  3x  - 1  

             __________________            

  5x + 2 |   10x³ + 19x² + x - 7

             |  -10x³ -   4x²  

             |              15x² + x

             |            - 15x² - 6x  

             |                     - 5x  - 7

             |                      5x   +2

             |                             - 5

2x²  +  3x  - 1   - 5/(5x +2)

The point (2,9) lies on a circle and the center of the circle is at the point (2,1). What is the equation of this circle? A. (x - 2)2 - (y - 1)2 = 64 B. (x - 2)2 + (y - 1)2 = 64 C. (x + 2)2 + (y + 1)2 = 64 D. (x - 1)2 - (y - 2)2 = 8

Answers

Answer:

B:(x-2)^2+(y-1)^2=64

Step-by-step explanation:

center is (2,1), point is (2,9)

so the radius=9-1=8

(x-2)^2+(y-1)^2=64

some teachers travelled to school by car the table shows the number of teachers in the cars a)what was the modal number of teachers in the cars b) what was the median number of teachers in the cars c) what was the mean number of teachers in the cars

Answers

Answer:

WE need the numbers

Step-by-step explanation:

a

Answer:

a)3

b)3

c)?

Step-by-step explanation:

The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
the first 100 m to a Convenient Store nearby. He would spend 10 min in the store to
complete his purchase. Finally, he takes another 20 min to reach school. What is his
average speed in m/s?

Answers

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; t que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche, 1kg de jamon serrano y 3 litros de aceite de oliva

Answers

Answer:

1 litro de leche cuesta 2.5

1 kg de jamón serrano cuesta 35

1 litro de aceite de oliva cuesta 7,5

Step-by-step explanation:

Pregunta correcta completa

Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.

Solución

Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.

16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240

16x + 4y + 8z = 240 (ecuación 1)

1 litro de aceite cuesta el triple de 1 litro de leche

z = 3x (ecuación 2)

Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.

y = 5x + 3z (ecuación 3)

Sustituyendo las ecuaciones 2 y 3 en la ecuación 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recordemos que z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

English Translation

A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.

Solution

Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.

16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240

16x + 4y + 8z = 240 (eqn 1)

1 liter of oil costs the triple of 1 liter of milk

z = 3x (eqn 2)

And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil

y = 5x + 3z (eqn 3)

Substituting eqn 2 and 3 into eqn 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recall that z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

1 liter of milk costs 2.5

1 kg of Serrano ham costs 35

1 liter of olive oil costs 7.5

Hope this Helps!!!

Help me
-ayyyyy

Idk I’m just having fun

Answers

Answer:

Step-by-step explanation:

A

Answer:

i think its A happy to help ya :)

Step-by-step explanation:

Other Questions
Please explain how you got your answer( worth 10 points) Which of the following is evidence for a physical change? A) burning B) fizzing C) evaporating D) rusting Which sentence in the adapted excerpt from G. K. Chesterton's "The Fallacy of Success" contains the central idea of the essay? right auricale is bigger then left aurical, why? __________ is an example of rule of man. What medical treatment would you seek? With sti The U.S. Department of Defense needs to buy several million dollars worth of tires for its armored personnel carriers. An American manufacturer can supply the tires for $20 million. A foreign supplier can provide the tires for $15 million. Under these facts:________.A) GATT requires that the tires be bought from the foreign supplier.B) A U.S. statute requires that the government buy from the U.S. supplier.C) Since the foreign supplier is cheaper, the government must buy from the foreign supplier to save money.D) None of the above is correct. What gives NATO faith that they are prepared for a possible confrontation? Help asap PLEASE, dhdbhehf NEED HELP WITH SPANISH 3!!1) Which of the following would be expressed by using the subjunctive in English? a. hypothetical situations b. formal requests and wishes c. observable facts d. a & b e. all of the above 2) Which of the following sentences is an example of the subjunctive mooda. It was a dark and stormy night. b. I have a headache.c. If I were you, Id stay home today. d. a & b e. b & c 3) Which of the following sentences contains the subjunctive? a. I wish he were here.b. If I won the lottery I would travel. c. Do you really think so? d. a & b e. b & c 4) Select the subjunctive verb(s) in this sentence:I wish it were summer. 5) Select the subjunctive verb in this sentence:I would not say that if I were you.6)Select the Subjunctive verb(s) in the following sentence:She wishes there were more hours in a day. 7) Mark each statementIif it applies to independent clauses andDif it applies to dependent clauses. Also called a subordinate clause (D or i)Can form a sentence on its own (D or i)Also called a main clause (D or i)Requires another clause to form a sentence (D or i)8) What is the underlined clause in the following sentence called?The ducks swam around the pond,while the children played on the shore. a. independent b. dependent c. it is not a clause d. a & b 9) Which of the underlined elements is a subordinate clause? a.I like to bakeat home. b. I like cookiesthat are homemade. c.I like cookiesfrom the store. d. a & b e. b & c 10)Which of the underlined clauses is a dependent clause? a. We loved the housethat they bought. b.They bought a housethat is brand new. c. They bought groceries andthey cooked at homed. a & b e. b & c 11) Which of the sentences contains a dependent clause? a. We prefer a big car.b. We prefer a car that has 4-wheel drive. c. The man who sold us the car lives there. d. a & b e. b & c12)Select the noun clause in the sentence.Did you hear what she said?13)Which of the following contains a noun clause? a. it was a great visit b. driving to your parents house c. he gave her some candy d. all of the above e. none of the above14)Which of the underlined elements is a noun clause?a. Tom and Carlawondered what to do. b.Tom and Carlawondered what to do. c. Tom and Carla wonderedwhat to do. d. a & b e. b & c is ABC similar to DEF why or why not Which sentence below is NOT written correctly? F. The weather is bad today, but it was worse yesterday. G. The food is good this week, but it was better last week. H. The marching bands performance was bad today, but it was best yesterday. How do you Define success A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math A machine with a 5-N input force and a 25-N output force has a mechanical advantage of (I point)0205.O20.O125 Let the polynomials A = 7x + 3xy and B = -3xy.Determine A + B.a) 7x b) 3xy c) 7x + 6xy d) 14x + 6xy e) -3xy HELP PLEASE!!!!!!!!!!!!!! The graphs below have the same shape. What is the equation of the redgraph? Which of the following passages relates Equiano's reaction? a)...Not being used to the water, I naturally feared that element the first time I saw it b) Two of the white men offered me eatables; and, on my refusing to eat, one of them held me fast by the hands, and laid me across, I think, the windlass, and tied my feet c) "Then," said I, "how comes it in all our country we never heard of them?" d) During the rest of his voyage to the West Indies, Equino continued to endure hardships. tell whether you would agree to the search for the gun in the classroom