Answer:
sin c
Step-by-step explanation:
Based on the figure, The true equations are, B. cos48° = b/c,
C. sin42° = b/c, E. tan42° = b/c and F. tan48° = a/c.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
We know, The sum of all the interior angles in a triangle is 180°.
So, The m∠B = 180° - 90° - 48° = 42°.
Now according to reference angles, we'll obtain the trig ratios.
cos42° = a/c.
cos48° = b/c.
sin42° = b/c.
sin48° = a/c.
tan42° = b/c.
tan48° = a/c.
learn more about trig ratios here :
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order from least to greatest : 15%,0.015,1/5
Answer:
the order from least to greastest is 0.015,15%,1/5
Step-by-step explanation:
If helps mark as Brainllest!!!
A population of mice is increasing exponentially. On Monday there were 120 mice. One month later there were 132 mice. Write a function to model this situation. Determine the percent increase of the population of mice each month.
Answer:
[tex]y =120*1.1^x[/tex]
[tex]r = 10\%[/tex] --- Percentage increase
Step-by-step explanation:
Given
Let
[tex]x \to months[/tex]
[tex]y \to mice[/tex]
So, we have:
[tex](x_1,y_1) = (0,120)[/tex] --- Monday
[tex](x_2,y_2) = (1,132)[/tex] --- One month later
Required
The function
The function is represented as:
[tex]y = ab^x[/tex]
In [tex](x_1,y_1) = (0,120)[/tex], we have:
[tex]120 =a * 1[/tex]
[tex]120 =a[/tex]
Rewrite as:
[tex]a = 120[/tex]
In [tex](x_2,y_2) = (1,132)[/tex], we have:
[tex]132 = a * b^1[/tex]
[tex]132 = a * b[/tex]
Substitute [tex]a = 120[/tex]
[tex]132 = 120 * b[/tex]
Solve for b
[tex]b = \frac{132}{120}[/tex]
[tex]b = 1.1[/tex]
Recall that:
[tex]y = ab^x[/tex]
Hence, the function is:
[tex]y =120*1.1^x[/tex]
To get the monthly percentage increase (r), we have:
[tex]y = a(1 + r)^x[/tex]
Compare to: [tex]y = ab^x[/tex]
So:
[tex]1+r =b[/tex]
Make r the subject
[tex]r = b-1[/tex]
[tex]r = 1.1-1[/tex]
[tex]r = 0.1[/tex]
Express as percentage
[tex]r = 0.1*100\%[/tex]
[tex]r = 10\%[/tex]
if a dice is rolled 240 times how many times do you think it will land on each number?
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
What is the domain of the function v = root(3, x)
Answer:
The first answer. Negative infinity to positive infinity.
Step-by-step explanation:
As long as x is a real number, there will be a cube root
Answer:A
Step-by-step explanation:
what is the answer to this math question?
Answer:
answer is 230
Step-by-step explanation:
they need more than 800 so u take 800-571 which is 229 u then add one because u need at least one more than 800 which is 230.
Answer:
230.
Step-by-step explanation:
You need more than 800 so you take 800 and talk away 71 which is 229, and then add 1 because you need at least one more than 800 , and you get an answer 230.
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
Me need help :( plz help :(((
Answer:
ok ill help! :D
Step-by-step explanation:
Someone help me with these :( hurry pls
Answer:
1) "fake numbers" do not exist but there are irrational numbers
2) We have negative numbers to help us understand the number system better. We need negative numbers in graphing.
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
Someone please help!!! I also posted other questions if you want more points!!!
Answer:
3/2
Step-by-step explanation:
3y + 2x = 12
subtract 2x from both sides
3y = -2x + 12
Divide both sides by
3
y = (-2/3)x + 4
Slope = -2/3
----------------------
Slopes of perpendicular lines are negative reciprocals
The negative reciprocal of -2/3 is
3/2
53.9 as a mixed number
Answer:
The fraction 53 9 is equivalent to 5 8 9.
Step-by-step explanation:
This fraction is a improper fraction once the absolute value of the top number or numerator (53) is greater than the absolute value of the bottom number or denomintor (9). So, the equivalent fraction is a mixed number which is made up of a whole number (5) and a proper fraction ( 8 9 ).
[tex]53 \frac{9}{10}[/tex]
53.9 can be split into 53 and .9
53 is the whole number
.9 is in the tenths place so it can be written out of 10: [tex]\frac{9}{10}[/tex]
It doesn't need to be simplified leaving us with 53 [tex]\frac{9}{10}[/tex]
pls help me I know this is easy I’m just not smart
Answer:
4
Step-by-step explanation:
Given :
5c+cd where, [tex]C=\frac{1}{5}[/tex] and d=15
Now,
5×[tex]\frac{1}{5} +\frac{1}{5} (15)[/tex]
=1+3
=4
Answer is 4
HELP PLEASE, AND FAST THANKS
Answer: U'(1,7) G'(7,1)
Find the value of x.
x= 13.3
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A phone company charged $67 for monthly access and $14 for each gigabyte of data used. If you sign a two-year contract and use 147.5 gigabytes of data, which value is the closest approximation to the total amount you will pay for phone service?
A. $2,700
B. $2,900
C. $3,400
D. $4,400
What is the solution to the system of equations graphed below
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 1 ) ← solution → A
HELP ME PLSSSS I NEED HELP
Answer:
D
Step-by-step explanation:
Its kinda self-explanatory, just look at the points
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
I will give Brainly
What is 3x^2 - 5x^3 (5 + 7)?
Answer:
-60x^3+3x^2
Step-by-step explanation:
I need a brainly please
Find the area of the shaded sector
Answer:
888
Step-by-step explanation:
Im pretty sure this is the answer, if helpful please mark me as brainiest :>
In an analysis of variance problems,there are 3 treatments and 10 observations per treatment,the sum of squares for the error is 399.6.What is the mean square for the error for this situation
Answer:
The answer is "14.8".
Step-by-step explanation:
[tex]n = 30\\\\ k = 3\\\\dfE = n-k \\\\[/tex]
[tex]= 30-3 \\\\= 27[/tex]
[tex]SSE = 399.6 \\\\MSE = \frac{SSE}{dfE}[/tex]
[tex]= \frac{399.6}{27} \\\\ = 14.8[/tex]
Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).
Answer:
[tex]y=-x+16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-1x+b\\y=-x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-x+b[/tex]
Plug in the given point (7,9) and solve for b
[tex]9=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]9+7=-7+b+7\\16=b[/tex]
Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:
[tex]y=-x+16[/tex]
I hope this helps!
Helpppppppppppppp!!!!!!!!!
Answer:
both 2 and -2
Step-by-step explanation:
Substitute 4 for r(x) on the given equation.
[tex]4=x^2[/tex]
[tex]\sqrt{4} =\sqrt{x^2}[/tex]
[tex]x=2[/tex]
[tex]x=-2[/tex]
Someone please help me with this question
Step-by-step explanation:
f(x) =x²+2
f(5)=5²+2
f(5)= 25+2
f(5)= 27
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
cual es el perimetro de 12 cm de ancho y 22 de largo
es para hoy
Answer:
Perimeter of figure = 68 centimeter
Step-by-step explanation:
Given information:
Width of side = 12 centimeter
Length of side = 22 centimeter
Find:
Perimeter of figure
Computation:
Perimeter of rectangle = 2[l + b]
Perimeter of figure = 2[Width of side + Length of side ]
Perimeter of figure = 2[12 + 22]
Perimeter of figure = 2[34]
Perimeter of figure = 68 centimeter
A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?
Answer:
10 people can go to the amusement park
Step-by-step explanation:
363 - 5.50 = 357.5
357.5 / 35.75 = 10
Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
119.4
Step-by-step explanation:
The Area of the Rectangle : 132 cm
Area of the Circle : 12.6 cm
Shade= MINUS - 132 cm - 12.5 cm = 119.4!
Happy To Help! :)
what similarity statement can you write relating the three triangles in the diagram?
Answer: Option C, UVW ~ UWT ~ WVT
Select the correct answer.
For the next five years, a dairy company wants to increase its
(PLEASE HELP 30 POINTS!!!)
daily milk processing capacity (in gallons) by the equation y = x6 – 9** + 70x2
where x is the number of years. How many years will it take until the company can process 630 gallons of milk in a day?
answer choices
OA. 2 years
ОВ.3 years
OC. 4 years
OD.5 years
Answer:
5 years
Step-by-step explanation:
To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.
y = x^6 − 9x^4 + 70x^2
630 = x^6 − 9x^4 + 70x^2
Solving for x, we will have
x = 4.8866 years or approximately 5 years
Hope this answer helps you :)
Have a great day
Mark brainliest