In this triangle, the product of sin B and tan C is
and the product of sin Cand tan B is

In This Triangle, The Product Of Sin B And Tan C Isand The Product Of Sin Cand Tan B Is

Answers

Answer 1

Answer:

[tex]\frac{c}{a}[/tex] and [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{b}{a}[/tex]

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{c}{b}[/tex]

Thus

sinB tanC = [tex]\frac{b}{a}[/tex] × [tex]\frac{c}{b}[/tex] ( cancel b on numerator/ denominator )

                 = [tex]\frac{c}{a}[/tex]

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

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex]

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{b}{c}[/tex]

Thus

sinC tanB = [tex]\frac{c}{a}[/tex] × [tex]\frac{b}{c}[/tex] ( cancel c on numerator/ denominator )

                 = [tex]\frac{b}{a}[/tex]


Related Questions

someone please help me. please

Answers

5x+20 + 9x-92 = 180

x = 18

5(18)+20

<A = 110

HEEEELP PLEASE :'). ThAAAANK YOUUUU

Answers

Answer:

2√5

Step-by-step explanation:

Answer:

sqrt(20)  (4.5)

Step-by-step explanation:

plug the coordinates into the distance formula to get the square root of 20.

which rule best described the following pattern 8,4,10,6,12,8,14

Answers

Answer: -4,+6,-4,+6,-4,+6

Answer:

-4 and +6

Step-by-step explanation:

The sequence follows a pattern of subtracting 4 then adding 6.

8 - 4 = 4 + 6 = 10 - 4 = 6 + 6 = 12 - 4 = 8 + 6 = 14

Find the surface area of the prism.



The surface area is square feet.​

Answers

Answer:

10 X 5 = 50, 50 X 2 = 100

10 X 1 = 10 , 10 X 2 = 20

5 X 1 = 5 , 5 X 2 = 10

100 + 20 + 10 = 130 ft squared

options are a)80° b)100° c)40° d)90°
please help​

Answers

Answer:

100!!!

Step-by-step explanation:

Because a straight line in geometry is equal to 180 SO...

180-80=100

Hope that helps!!

please help me with this

Answers

Answer:

5 squared, 2 and half, 7 squared, 11 squared, pie

Step-by-step explanation:

Solve using order of operations: 7 + 4 x2

Answers

Answer:

15

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

You do 4 times 2 first

so

7+8 equals 15

Answer:

Step-by-step explanation:

=7+8

=15

Hope it helped you.

Plz mark me brainliest.

Find the slope, or rate of change, from the following ordered pairs: (-2, 17) and (-1, 5).

Answers

Answer:

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

m=-12/1

m= -12

Answer:

y=-12x-7

Step-by-step explanation:

1. Identify the coordinates (-2,17) and (-1,5)

2. Input the values into the formula.

3. Subtract the values in parentheses

4. Simplify the fraction to get the slope

What is the value of -3/5 + (-.75) + 4 7/10?

Answers

The answer is 67/20

Decimal form is 3.35
THE VALUE IS 3.35
HAVE A NICE DAY <3

You buy an item for $9.24. If you give the cashier
a $20 bill for payment, what is the amount of change you should receive?

Answers

Answer:

10.76

Step-by-step explanation:

You owe 9.24, and gave 20.00. Subtract 9.24 from 20.00 to get 10.76.

Answer:

Step-by-step explanation:

if you have a 20 dollars and buy an item 9.24

20-9.24=10.76 is the change you will receive

 Can someone pleaseeee help if you’re correct I’ll give u brainlist

Answers

Answer:

y = 43, z = 16

Step-by-step explanation:

congruent essentially means they're the same. If you mentally map one triangle onto the other, you'll see that 43, the hypotenuse, lines up with y, and 16 lines up with z.

What is the slope of the line 3y=6x-1

Answers

Answer:

2

Step-by-step explanation:

Simplify 3y=6x+1;

y=2x-1/3

y=mx+b , where m represents the slope.

Slope; 2

Answer:

slope=2

Step-by-step explanation:

Exit Ticket: At noon, a tank has a water depth of 9 in. After 3 hours, the depth was 8 inches. At 6pm, the depth was 7 inches. What is the initial value for the function? help will be appreciated.

Answers

Answer:

Step-by-step explanation:

The  straight line equation is:

y = m*x  + b     Where m is the slope of the line and b the intercept with   y-axis, in our case y is the depth of the tank and x (time in lapsus of 3 hours).

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

We have point  A ( 3 , 8 )  and point  B ( 6 , 7 )

m  = ( 6 - 3 ) / (7 - 8 )  m = -3

We see that  each 3 hours time-depth decreases  1 in.

Then   to find the depth at the beginning of x-axis

At  noon     12   tank was  9 inches, three hours before at 9 in the morning the depth was 10 inches and:

9  in the morning   10

6  in the morning   11

3  in the midnight   12

12 in the night         13

Then 13 is the intercept with y-axis

then the equation is:

h = - 3*x + 13

Note x is time in lapsus  of 3 hours

Dear math why don't you grow up and solve your own problems

Answers

Answer:

LOL

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes

Xander writes math textbooks that sell x dollars each. he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale. express the total amount of income xander earns from selling y books algebraically

Answers

The total amount of income Xander earns from selling y books algebraically is C = 25000 + xy + 0.08y.

What is an equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenarios.

In this situation, Xander writes math textbooks that sell x dollars each, he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale.

c = total amount

y = number of books.

The total amount of income will be:

= 25000 + (x × y) + (8% × y)

= 25000 + xy + (0.08 × y)

C = 25000 + xy + 0.08y

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

URGENT! Move all the right triangles into the box.

Answers

Answer: most likely the second and last

Step-by-step explanation:

write a polynomial function with the given zeros
x = -2, -2, 3

Answers

Answer:

(x+2)(x+2)(x-3)

Step-by-step explanation:

hope this helps

Pl help me it’s for homework

Answers

Answer:

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

Step-by-step explanation:

Given that:

x-4y = 2

2x+y = 12

For elimination, one of the variable is eliminated.

In this system,

we can either multiplying the first equation by 2 or second equation by 4.

Then we can add the equations.

By multiplying the second equation with 4 and then adding both equations, we can eliminate the variable y.

4(2x+y=12)

8x+4y=48

By adding

(x-4y)+(8x+4y)=2+48

7x=48

Hence,

Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.

Tout teacher las disableu nislali malking Tour airs will apped alle ule uue date
In a class of 34 students, 19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place.

Answers

9514 1404 393

Answer:

  55.9%

Step-by-step explanation:

The percentage is found by multiplying the fraction by 100%.

  19/34 × 100% ≈ 55.9%

About 55.9% of the class are girls.

Hi i need help with these questions with distributive property pls help me:
3(-4x + 8)
4(x - 6y)
6(5 - q)
1/2(c - 8)
-3(5 - b)
(d + 2)(-7)

Answers

Step-by-step explanation:

-12x+24

4x-24y

30-6q

1/2c-4

-15+3b

-7d-14

Answer:

-12x+8

4x-24y

30-6q

1/2c-4

-15-3b

-7d-14

Alex makes $400 a week how much money dose he spend on rent each week (10 points)
please help me​

Answers

Answer:

100

Step-by-step explanation:

80 + 72 + 60 + 48 + 40

Which of these r-values represents the strongest correlation? O A. -0.7 Caty B. -0.6 O C. -0.4 O D. -0.5​

Answers

Answer:

-0.4

Step-by-step explanation:

its that one

The strongest correlation is -0.4.

Option C is correct.

What is correlation?

Correlation is a statistical term that expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical tool for describing simple relationships without stating a cause and effect link.

When the result is closer to +1 (positive correlation) or -1 (negative correlation), the strongest correlation is considered (negative correlation).

A positive correlation coefficient means that the value of one variable is directly related to the value of another.

Here -0.4 is the closest value to 1.

So, the strongest correlation is -0.4.

Learn more about Correlation here:

https://brainly.com/question/28898177

#SPJ7

Someone! I need help.

Answers

Answer:

With?

Step-by-step explanation:

17)
Gas Mileage
162
135
108
miles
81
54
27
0
0
6
gallons
The graph shows gas mileage for a car. What is the unit rate?
A)
54
miles per gallon
B)
miles per gallon
27
09
27 miles per gallon
D)
54 miles per gallon

Answers

Answer:

The unit rate = 27 miles per gallon.

Hence, option C is true.

Step-by-step explanation:

From the given line graph:

Taking two points

(2, 54)(6, 162)

The unit rate can be determined by finding the rate of change or slope between the points (2, 54) and (6, 162)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:54\right),\:\left(x_2,\:y_2\right)=\left(6,\:162\right)[/tex]

[tex]m=\frac{162-54}{6-2}[/tex]

Refine

[tex]m=27[/tex]

Therefore, the unit rate = 27 miles per gallon.

Hence, option C is true.

18a − 17a = 13 I Will give You Brainly. (:

Answers

Answer:

18a−17a =13

18a-17a=13

18a−17a=13

Solve

Combine like terms

18−17=13

1=13

Multiply by 1

Solution

=13

Answer:

a=13Step-by-step explanation:

18a-17a=13

a=13

I think it helps you

Can someone put this in order for me? Because I'm so confused.

Answers

Answer:

Step-by-step explanation:

[tex]24a-3(2a-5)=51[/tex]

Step 1: Let's solve first so we can order  it later.

[tex]24a-6a+15=51\\18a+15=51\\-15 -15\\\18a=36\\\\[/tex]

Divide 18 both sides.

[tex]a=2[/tex]

Ok so we have everything solved answer: a=2.

Now we need to order.

Step 1. Distribute 3.

Step 2. Combine like terms 24a and 6a.

Step 3. Subtract 15 from both sides.

Step 4. Divide both sides by 18.

Hope this helps :)

Can y’all plz help me ?

Answers

Answer:

x=-5

Step-by-step explanation

The first box has eight x's and six 1's which means that it would be written as 8x+6

The second box has four x's and fourteen -1's which means that it would be written as 4x-14

You set them equal to one another

8x+6=4x-14

You subtract 4x from both sides

4x+6=-14

Subtract 6 on both sides

4x=-20

Divide 4 on both sides

x=-5

Hope it helps :))

In three days the temperature dropped 27 degrees. how many degrees did it drop?

Answers

Answer:

i thinks its 30

Step-by-step explanation:

no exp

Answer is
30 hope this helps

Please help I’m supposed to identify the area of symmetry of the function graph

Answers

Answer:

x=-1

Step-by-step explanation:

On the lowest point of the function, the point is on -1 on the x-axis. That point on the graph splits the graph in half.

Answer:

x= -1

Step-by-step explanation:

What's the simplest from for the ratios:
8:20. Ill mark brainless!
32:28
12:15:24
45:60135
80:112:176

Answers

Answer:

12:15= 4.5

32:28 = 8:7

45:60135=3:4

Step-by-step explanation:

The rest are confusing

Answer:

Step-by-step explanation:

8:20 = 2:5

32:28 = 8:7

12:15:24 = 4:5:8

45:60:35 = 9/12/7

80:112:176 = 5:7:11

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