Type the correct answer in each box. If necessary, use / for the fraction bar(s).

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

Answers

Answer 1

The product of sin B and tan C is c/a

The product of sin C and tan B is b/a

Further explanation

We can use

SOH stands for Sine = Opposite ÷ Hypotenuse.

CAH stands for Cosine = Adjacent ÷ Hypotenuse.

TOA stands for Tangent = Opposite ÷ Adjacent.

There is a picture attached

[tex]\tt sin~B=\dfrac{b}{a}\\\\Tan~C=\dfrac{c}{b}\\\\sin~B\times Tan~C=\dfrac{b}{a}\times \dfrac{c}{b}=\dfrac{c}{a}[/tex]

[tex]\tt sin~C=\dfrac{c}{a}\\\\Tan~B=\dfrac{b}{c}\\\\sin~C\times tan~B=\dfrac{c}{a}\times \dfrac{b}{c}=\dfrac{b}{a}[/tex]

Type The Correct Answer In Each Box. If Necessary, Use / For The Fraction Bar(s).In This Triangle, The
Answer 2

Answer:

The product of sin B and tan C is (c/a)

The product of sin C and tan B is (b/a)

PLATO


Related Questions

Help with math

I have to have 20 characters or more to ask question...

Answers

Answer:

x=[tex]-\frac{113}{3}[/tex]

Step-by-step explanation:

First, we need to solve the angle inside the triangle. That would be 55+40+angle measure=180

angle measure=85°

Now that we know that, we can solve for x by setting 85-3x-18 equal to 180° because these two values form a linear pair which is 180°.

Let's use some simple algebra to solve for x:

85-3x-18=180

67-3x=180

-3x=113

x=[tex]-\frac{113}{3}[/tex] or about -37.67

Hope this helps!! :)

Can someone explain and help me with this?

Answers

Answer:

A) a²-2a+2a-4 the a is correct check my explanation to understand the answer.

Step-by-step explanation:

(a+2)(a-2)= a²-2a+2a-4

can someone help me with?? −1(4/5)-Pleasee?

Answers

Answer:

1(4 / 5)

1 x 4= 4

1 x 5= 5

4 / 5 = 0.8

2 divided by 3/4 in fraction form

Answers

Answer:

8/3  or 2   2/3

Step-by-step explanation:

so we take 3/4 and flip it. 2 x 4/3= 8/3  or   2    2/3

Hope this helps :3

The Quotient is 8/3.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2 divided by 3/4

As, division is not possible in fraction so we will perform the multiplication

= 2  ÷ 3/4

= 2 x 4/3

= 8/3

Learn more about Division here:

https://brainly.com/question/21416852

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Use the point-slope form to write an equation, then write the equation in slope-intercept form.

Answers

Point slope: y-y1 = m(x-x1)

6. Find slope
(0-2)/(2+3) = -2/5
y - 2 = -2/5 (x + 3)
Y = -2/5x - 1.2 + 2
Slope intercept: y = -2/5x + 0.8

8. Slope: (-1+4)/(5+7) = 1/4
y + 4 = 1/4(x+7)
Y = 1/4x + 1.75 - 4
Y = 1/4x - 2.25

The cost of my monthly train ticket was £60 it went up by 25% what is the new price

Answers

Answer:

75 EUR

Step-by-step explanation:

1.00 (EUR 60) + .25 (EUR 15)

60 EUR * 1.25 = 75 EUR

Answer:

45

Step-by-step explanation:

[tex]60 \times 25 \div 100 = 15 \\ 60 - 15 = 45[/tex]

Find the ordered triple of these equations.
X + y + z = 12
y = 1
X - Y - Z = 0

Answers

Answer:

the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

Step-by-step explanation:

Given the equations

[tex]x + y + z = 12[/tex]

[tex]y=1[/tex]

[tex]x - y - z = 0[/tex]

As

[tex]y=1[/tex]

We can get the value of x by adding the first and third equation

so

[tex]x + y + z = 12[/tex]

[tex]x-y-z=0[/tex]

so the equations become

[tex]x+x+y-y+z-z=12+0[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

Putting x = 6 and y=1 in the first equation [tex]x+y+z=12[/tex]

[tex]6 + 1+ z = 12[/tex]

[tex]7 + z = 12\\z = 12 -7[/tex]

[tex]z = 5[/tex]

Therefore, the ordered triple of these equations will be:

(x, y, z) = (6, 1, 5)

Can somebody pleaseee help me with my Absolute Value homework? I need help understanding the questions. They don't need long answers.. If I add someone as a friend can you send an image of the homework in the message? I need to complete hopefully tonight because its past due... I would really appreciate help!!

Answers

yes! i’m really good at absolute value! wanna add me on snap?

Answer:

I can try.....

Step-by-step explanation:

Accept my friend request and I'll see what i can do.

what is the corresponding definition of opposites ​

Answers

Answer: absolute values

Step-by-step explanation:

Please help, other 70 points in other question

Answers

Step-by-step explanation:

Given Equation :-

y = -1/2x + 5

On comparing :-

y = mx + c m = -1/2

Slope of perpendicular line :-

m ' = 2

Using Point slope form :-

y - y1 = m ( x - x1) y - 0 = 2 ( x -3)y = 2x - 6 2x - y - 6 = 0

Joe is at the ice cream shop in his house is 9 blocks north of the shop the park is 9 blocks south of the ice cream shop where he is at the ice cream shop is Joe closer to the park or his house how could the number 0 be used in the situation explain using the number line to the right to help you​

Answers

Answer:

pls could you explain the question a bit more?...

Step-by-step explanation:

help somebody thanks .

Answers

It’s going to be 6 units

Please help me I’m struggling awnser a fraction in simplest form

Answers

Answer:

the answer is 4

the slope would be 4/1 which simplifies to 4

Answer:

m=1/4

Step-by-step explanation:

When counting from your first point, you could think of it like this:

"up 1 over 4"

1/4

HTH :)

Hurry plzzz!!
Which of the following pairs are not complementary?

A. 11 and 79
B. 81 and 9
C. 32 and 68
D. 52 and 38

Answers

C because it doesn’t add up to 90

ANSWER RIGHT AWAY!!!!​

Answers

Answer:

1st and 3rd are functions, 2nd and 4th are not functions

Step-by-step explanation:

Answer:

Function : 1 , 3

Not a Function : 2 , 4

Step-by-step explanation:

Using the vertical line test for the first two, and the last two you are able to tell because each input (x) can only have one output (y).

PLEASE HELP ASAP!!!!!!!!!!100 POINTS!!!!!!!!!!!! WILL GET MARKED BRAINLEST!!!!!!!!!!!!!
1. A local pizzeria sold 75 pizzas yesterday.

(A) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today.

How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning. Show your work!

(B) Suppose the actual number of pizzas sold today was 66. Describe the number of pizzas sold as a percent increase or decrease. Show your work!

Answers

Answer:

(A) The pizzeria needs to sell 90 pizzas to receive the bonus.

(B) It would be a 12% decrease then the original amount of pizzas sold which is 75.

Step-by-step explanation:

(A)- You convert 20% into a decimal which is 0.20 then multiply it to 75 to find out how many more pizzas need to be sold for them to receive the bonus. In this case it was 15. Then you add it to the 75 and you get 90. So the pizzeria needs to sell 90 pizzas for them to receive their bonus.

(B)- First you see if it was an increase or decrease. In this case it was a decrease because it dropped from 75 to 66. Now you calculate by how much it had dropped. Here it dropped by t9. Now to find the percent on how much it dropped you divide 9 by 75 and you get 0.12. Then you multiply by 100 to get your percentage with is 12%. So the number of pizzas sold today would show as a 12% decrease.

If you can make my answer the brainliest that would be much appreciated. Thanks!

Rational Numbers
Irrational Numbers
2.3495
65.4279
39
7
54
2.45
64
20
6
0.24244...
1.3
89.3668...
7.121314...
2.6363...
7101

Answers

irrational numbers never end.

r: 2.3495, 65.4279, 39, 7, 54, 2.45, 64, 20, 6, 1.3, 7101.

ir: 0.24244..., 89.3668..., 7.121314..., 2.6363...

dave can clean pools at a constant rate of 3/5 pools/hour what is the ratio of the number of pools to the number of hours?​

Answers

do you ever wake up and scroll to far maybe 1 year in someone’s Instagram and you like it and accidentally write the whole new movie script? Just me?

4 (correct me if I'm wrong)

a. Complete the model below using the ratio from Example 1, part (b). b. Complete the model below now using the rate listed below. 3. Dave can clean pools at a constant rate of 3/5 pools/hour. a. What is the ratio of pools to hours? b. How many pools can Dave clean in 10 hours? c. How long does it take Dave to clean 15 pools? 4.

Please consider marking brainliest! :)

will mark brainliest

Answers

Answer:

c

Step-by-step explanation:

c is the one that divides and a fraction is just division

8 metallic cubical blocks o of
equal size are
melted and joined together to form a
bigger cubical block - If each smaller
block is lorm thick find the thickness of
the
block.
bigger

Answers

Here is the answer. Your welcome

Which values should you plot to show a linear relationship? Day Number of bacteria Log(bacteria) 0 2 0.301 1 1 5 0.699 N 8 0.903 3 15 1.176 4 33 1.516 5 65 1.813 A. "Day" on the x-axis and "Number of bacteria" on the y-axis B. "Number of bacteria" on the x-axis and "Log(bacteria)" on the y axis C. "Day" on the x-axis and "Log(bacteria)" on the y-axis D. "Log(bacteria)" on the x-axis and "Day" on the y-axis​

Answers

The values you should plot to show a linear relationship is;

C. "Day" on the x-axis and "Log(bacteria)" on the y-axis

What is the graph of the linear relationship?

The table for the relationship between days and number of bacteria is;

Days       Bacteria          log bacteria

0               2                      0.301

1                5                      0.699

2               8                      0.903

3                15                    1.176

4                33                   1.516

5               65                    1.813

We see from the table that bacteria is showing exponential growth  

Thus, if log of bacteria is plotted against day, it will show a linear relationship.

Therefore, the graph will be plotted as Day on the x-axis and Log(bacteria) on the y-axis  

Read more about Graph of Linear Relationship at; https://brainly.com/question/28847058

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Benny gets paid $500 every two weeks. After his paycheck is deposited, he has to pay his cell phone bill of $30 and buy a birthday gift for his girlfriend. If Benny has $390 left in his account, how much did he spend on the gift?

Answers

Answer:

$80

Step-by-step explanation:

500-390-30

$80

500-30= 460
460-390=70
Benny spend 70$ on the gift

What are the slope and the y-intercept of the graph of the linear function shown on the grid?
(-6, 0) (2,-2)

Answers

Answer:

hi! the slope formula is y2-y1 / x2-x1 ! so (-6,0) (2,-2)

your x1 is -6 and y1 is 0 and x2 is 2 and y2 is -2!

using the formula, -2-0/2--6 is 4

so your slope is 4!

the y intercept is solved by

the slope intercept formula y= mx+b

I hope you've memorized both formulas!

b is your y intercept so let's set the equation up!

pick a point it can be either point we'll do (-6,0)!

now y=mx + b

m is your slope and y is the y coordinate of the point (-6,0) that we chose!

b is what we will solve

so! 0=4(-6)+b

0= -24 + b

now it's basic algebra!

24= b

I hope this helps!

In conclusion, slope is 4 and y intercept is 24

memorize slope formula and slope intercept formula and you can do this!

⚠️⚠️What’s the equation (Y=Mx+b) and B? ⚠️⚠️

Answers

Answer:

The equation for this line in slope-intercept form (y = mx + b) is y = [tex]\frac{5}{4}[/tex]x + 2, because the rise (5) over the run (4) is the slope aka 'm', and the line touches the y-axis at the point (0,2) In this ordered pair the y-value is 2, so the y-intercept, or 'b', is equal to 2.

nter the equation of the line in slope-intercept form.

Slope is 6, and (1, 3)

Answers

Answer:

The equation in the slope-intercept form will be:

[tex]y=6x-3[/tex]

Step-by-step explanation:

Given

slope = m = 6point = (1, 3)

As we know that the equation of a line in point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 6 and point = (1, 3)

[tex]y-3=6\left(x-1\right)[/tex]

Writing the equation in slope-intercept form

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

[tex]y-3=6\left(x-1\right)[/tex]

add 3 to both sides

[tex]y-3+3=6\left(x-1\right)+3[/tex]

[tex]y=6x-3[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=6x-3[/tex]

the vertices of a rectangle are A(2,0), B(5,0), C(5, -2), and D(2,-2). reflect the rectangle in the y axis, and then rotate the rectangle 180 degrees about the origin. what are the coordinates of the image?

Answers

Answer:

a(2,0) b(5,0) c(5,2) d(2,2)

Step-by-step explanation:

hope this helps!!

the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?

Answers

Answer:

$1,320

Step-by-step explanation:

First you divide $2.640 with 2 and tah da

what is the range of the function shown below?

Answers

Answer:

Step-by-step explanation:

{ - 9, - 4, - 1}

Find the perimeter and area of a circle with diameter 14 m​

Answers

Answer:

perimeter = 43.96 m

area = 153,86 m2

Step-by-step explanation:

d = 14 m

r = 7 m

perimeter = 2πR = 43.96 m

area = π[tex]R^{2}[/tex] = 153,86 m2

Find radius (half diameter) then area is Pi x r squared which is Pi x49 for area and permitter is 2 x Pi x r which in this case is pi x 14

Pls help I will give u 10 points

Answers

It is correct
One room per day. Nine rooms in nine days

Answer:

1. isn't

2. 0.5 or 1/2

3. 9x0.5=4.5 or 9/2

You can do this... it's easy stuff. You got it!

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Ben has a collection of Nickels and dimes has a total of $5.35 how maybe nickels and dimes does he need please helppp plisss Which elements identify key differences between staff reporters and freelancers? (Select all correct answers.)their need to work with an editortheir freedom to choose their worktheir ability to manage their time welltheir overall job security and benefits Each of the options below describes a relationship that you need to graph in a coordinate plane. which of the options will have a slope of 50? select all that apply.A.) Driving 450 miles in 9 hoursB.) Reading 250 pages in 5 hoursC.) Buying 4 suit jackets for $240D.) Spending $200 on 5 pairs of shoes Biosolids are used as a chemical free natural choice for fertilizing. Place the following hurricanes in order from least to greatest, based on the number of fatalities produced by each.i. Hurricane Andrewii. Hurricane Katrinaiii. Hurricane IvanA.i., ii., iii.B.ii., iii., i.C.iii., i., ii.D.i., iii., ii. name two types of cell that can go through the cell cycle an infinite amount of times A 747 airplane weighs about 600,000 pounds. It can also be expressed as approximately 3 times 10 Superscript n tons. If there are 2,000 pounds in 1 ton, which is the most reasonable value of n? 2 1 2 4 Trenton and Maria record how much dry food their pets eat on average each day. Trentons pet: 4/5 cup of dry food Marias pet: 1.25 cups of dry food. Based on these averages, how many more cups of dry food will Marias pet have eaten than Trentons pet will have eaten over 2 seven-day weeks? *1 solve for x:-6 + 4x = 13 Which is an example of primary succession? an oak growing in an abandoned field ferns growing in a forest a new cactus growing next to an old cactus lichens growing on cooled lava rock find the measure of each numbered angle Describe the relationship between the 9/11 attacks and the U.S.s invasion ofAfghanistan. Why did slaves support the movement to end plantation slavery? Is 3,822 divisible by 3 or 9? Why or why not? Given the table below that lists points on a line, what is the y-intercept of the line? Lara has violet and blue pansies in groups of 5. She has x groups of violet pansies and y groups of blue pansies. Which expression shows the total number of pansies that Lara has? 5x + y 5x + 5y x + 5y x over 5 + y over 5 Which shows a correct association between a structure and one of its functions?A.) Pores receive sensory information.B.) Oil regulates temperature.C.) Vitamin D protects against bacteria.D.) Sweat glands remove waste. Suppose that an individual has a body fat percentage of 15.6% and weighs 156 pounds. How many pounds of his weight ismade up of fat? Round your answer to the nearest tenth. Please someone explain and give me ths answer