The product of sin B and tan C is c/a
The product of sin C and tan B is b/a
Further explanationWe 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]
Answer:
The product of sin B and tan C is (c/a)
The product of sin C and tan B is (b/a)
PLATO
What are the slope and the y-intercept of the graph of the linear function shown on the grid?
(-6, 0) (2,-2)
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!
nter the equation of the line in slope-intercept form.
Slope is 6, and (1, 3)
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]
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?
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! :)
Help with math
I have to have 20 characters or more to ask question...
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!! :)
Please help, other 70 points in other question
Step-by-step explanation:
Given Equation :-
y = -1/2x + 5On comparing :-
y = mx + c m = -1/2Slope of perpendicular line :-
m ' = 2Using Point slope form :-
y - y1 = m ( x - x1) y - 0 = 2 ( x -3)y = 2x - 6 2x - y - 6 = 0Hurry 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
ANSWER RIGHT AWAY!!!!
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).
can someone help me with?? −1(4/5)-Pleasee?
Answer:
1(4 / 5)
1 x 4= 4
1 x 5= 5
4 / 5 = 0.8
Please help me I’m struggling awnser a fraction in simplest form
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 :)
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?
Answer:
a(2,0) b(5,0) c(5,2) d(2,2)
Step-by-step explanation:
hope this helps!!
help somebody thanks .
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
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
#SPJ1
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
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?
Answer:
$80
Step-by-step explanation:
500-390-30
$80
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!!
Answer:
I can try.....
Step-by-step explanation:
Accept my friend request and I'll see what i can do.
will mark brainliest
Answer:
c
Step-by-step explanation:
c is the one that divides and a fraction is just division
Pls help I will give u 10 points
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!
what is the corresponding definition of opposites
Answer: absolute values
Step-by-step explanation:
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!
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
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...
Use the point-slope form to write an equation, then write the equation in slope-intercept form.
Find the perimeter and area of a circle with diameter 14 m
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
The cost of my monthly train ticket was £60 it went up by 25% what is the new price
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
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)
⚠️⚠️What’s the equation (Y=Mx+b) and B? ⚠️⚠️
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.
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
Answer:
pls could you explain the question a bit more?...
Step-by-step explanation:
the cost of 2 ounces of pure gold was $2,640. How much did it cost for 1 ounce of pure gold?
Answer:
$1,320
Step-by-step explanation:
First you divide $2.640 with 2 and tah da
2 divided by 3/4 in fraction form
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
#SPJ5
Can someone explain and help me with this?
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
what is the range of the function shown below?
Answer:
Step-by-step explanation:
{ - 9, - 4, - 1}