Answer:
° 3/2 × 4/15
Step-by-step explanation:
for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.
Sin(2x+30°)=1
Tìm x
Cảm ơn vì giúp đỡ
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
[tex]sin^{-1}[sin(2x+30)]=sin^{-1}(1)[/tex]
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
Answer:
0.5 is the answer of this question
bro!
Which two of the objects shown below could we slice diagonal to their bases/faces to create ellipse cross-sections (that aren't circles)?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Cone
(Choice B)
B
Cube
(Choice C)
C
Cylinder
(Choice D)
D
Sphere
Answer:
C
Step-by-step explanation:
The cylinder would show an ellipse when cut diagonally. Please Brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS.
create a line that is perpendicular to AB and passes through C. you can use the tools available in geogebra to create perpendicular lines for this construction display the measurement of the angle of intersection between the two lines???
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-intercept.
If we know that the line passes through two points, (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁).
Also, for a given line:
y = m*x + s
A perpendicular line to that one must have a slope:
a = -(1/m)
And the intersection between two perpendicular lines forms four 90° angles.
So first, we need to find the slope of the line that passes through A and B.
A = (-3, 3)
B = (-1, -1)
Then the slope of the line is:
a = (-1 - 3)/(-1 - (-3)) = -4/2 = -2
a = -2
The slope of a perpendicular line should be:
slope = -(1/a) = -(1/-2) = 1/2
Then the perpendicular line will be something like:
y = (1/2)*x + b
To find the value of b, we can use the other restriction.
This line needs to pass through point C.
And we can see that point C is:
C = (1, 2)
This means that when x is equal to 1, y must be equal to 2.
Then replacing these in the above equation we get:
2 = (1/2)*1 + b
2 = 1/2 + b
2 - 1/2 = 4/2 - 1/2 = 3/2 = b
Then our equation is:
y = (1/2)*x+ 3/2
The graph of this line can be seen in the image below, the green line is the line that we found.
If you want to read more about linear relations, you can see:
https://brainly.com/question/19586594
Answer:
Step-by-step explanation:
One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.
Answer: C and D
Step-by-step explanation:
Using the logistic equation, it is found that options C and D are correct.
The logistic equation for population growth is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.For this problem, the equation is:
[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]
Which means that:
The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].Hence, options C and D are correct.
To learn more about the logistic equation, you can check https://brainly.com/question/25697660
Solve the following system of equations. Enter the y-coordinate of the
solution. Round your answer to the nearest tenth.
5x+y=21
- 2x + 61=-34
Answer:
(13.5,-46.5)
Step-by-step explanation:
Since equation 2 is missing y, then x is a constant
-2x + 61 = 34
-2x = 34 - 61
-2x = -27
x = 13.5
Then plug x into the 1st
5x + y = 21
5 * (13.5) + y = 21
67.5 + Y = 21
y = 21 - 67.5
y = -46.5
So the point satisfying both equations is (13.5,-46.5)
Lines EG and FH are parallel. a. Name all the angles congruent to angle ABE. 7.1 D G b. Wnte an equation that represents the relationship between angle FCD and angle HCD.
Answer a here (separate answers with a comma): *
Answer b here: *
Answer:
a. GBC, FCB, DCH
b. FCD+HCD=180
Step-by-step explanation:
A
by vertical angles ABE=GBCby corresponding angles ABE=FCBby alternate exterior angles ABE=DCHB
FCD and HCD form a straight line which is equal to 180The angles that are congruent to ABE are BCF, DCH, and CBG
Angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:
<FCD + <HCD = 180
An angle is a point where two lines meet or intersect.
The angles that are congruent to ABE are BCF, DCH, and CBG
ABE = BCE (corresponding angle)
Since BCE = DCH (vertically opposite angles), hence:
ABE = DCH (vertically opposite angles)
Also, we can see that DCH = CBG (corresponding angles), hence:
ABE = CBG (corresponding angle)
b) From the given diagram, we can see that angles FCD and HCD lie on the same straight line. This means that the sum of both angles will sum up to 180degrees since the sum of angle of a straight line is 180degrees (supplementary). Hence the required equation will be:
<FCD + <HCD = 180
Learn mre here: https://brainly.com/question/14941189
Consider the quadratic expression 13x^2 + nx - 17. For certain values of n, it may be factored into a product of two linear polynomials, both of which have integer coefficients. What are all such values of n?
Answer:
n = 220, 4, -4, -220
Step-by-step explanation:
factors of 17: 17, 1, -1, -17
13 is prime number: 13 x 1 = 13
(ax+b)(cx+d) = axcx+axd+bcx+bd
(x + 17)(13x - 1) = 13x^2 + 220x - 17, n = 220
(x - 17)(13x + 1) = 13x^2 - 220x - 17, n = -220
(x + 1)(13x - 17) = 13x^2 - 4x - 17, n = -4
(x - 1)(13x + 17) = 13x^2 + 4x - 17, n = 4
a(b^2+c^2+bc) + b(c^2+a^2+ca) + c(a^2+b^2+ab)
Answer:
(a-b)(b-c)(a-c)
Step-by-step explanation:
a^2(b - c) + b^2(c-a) + c^2(a - b)
= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b
=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b
= ab(a - b) - c(a^2 - b^2) +c^2(a - b)
=ab(a - b) -c(a - b)(a + b) +c^2(a - b)
=(a - b)(ab - c(a + b) +c^2)
=(a - b)(ab - cb -ca + c^2)
= (a - b)(b(a-c) -c(a-c))
=(a-b)(b-c)(a-c)
Melissa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of 59 and costs an additional 0.15 per mile driven. The second plan has an initial fee of 50 and costs an additional 0.20 per mile driven. For what amount of driving do the two plans cost the same? What is the cost when the two plans cost the same?
Answer:
Step-by-step explanation:
Let
x = cost per mile
y = Total cost
Plan 1:
y = 59 + 0.15x
Plan 2:
y = 50 + 0.20x
Equate the total cost of the two plans
59 + 0.15x = 50 + 0.20x
59 - 50 = 0.20x - 0.15x
9 = 0.05x
x = 9/0.05
= 180
x = 180 miles
y = 50 + 0.20x
= 50 + 0.20(180)
= 50 + 36
= 86
y = 86
Solve the system of equations and choose the correct ordered pair.
4x - 2y = -2
6x + 3y = 27
A. (2,5)
B. (3,7)
C. (0, -1)
D. (0,9)
Answer:
(2,5)
Step-by-step explanation:
4x - 2y = -2
6x + 3y = 27
Divide the first equation by 2 and the second equation by 3
2x - y = -1
2x + y = 9
Add the equations together
2x - y = -1
2x + y = 9
-------------------
4x = 8
Divide by 4
4x/4 = 8/2
x =2
2x+y = 9
2(2) +y = 9
4+u = 9
y = 9-4
y=5
(2,5)
HELPPPPPPPPPPPPPPPPP PLZ
Answer:
GH = 8.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan J = opp side / adj side
tan J = HG / HJ
tan 40 = GH / 10
10 tan 40 = GH
8.39099=GH
Rounding to the nearest tenth
GH = 8.4
find the least number which is exactly divisible by 15 , 20, 25
explain step by step
Answer:
ans is 300Step-by-step explanation:
you need to take LCM of 15,20,25 and their LCM Will be 300I'M NOT PRETTY SURE ABOUT IT. ...Answer:
300
Step-by-step explanation:
5/15,20,25
3,4,5
5*4*3*5
300
Can somebody help me please.
Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.
Answer:
y=(3/4)x+2
Step-by-step explanation:
write the equation in slope-intercept form: y=(3/4)x - 3
since it is parallel the slope is the same so we have y=(3/4)x + b
then plug in the point (-1) = (3/4)(-4) + b
-1 = -3 +b, b=2
y= (3/4)x + 2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
in a right triangle ABC, C is the right angle. What does Cos B equal
Answer:
not enough information
Inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate
i know answer need explan.
Answer:
Hello,
4 hours
Step-by-step explanation:
Let say w the work clean one room.
h the number of hours worked
p the number of people who works
k is a constant
6w=k*h*p
3 h, 2 p==> 6w
6w=k*3*2 ==> k=w
5 p, 20 w ==>
20w=k*h*p
20w=w*h*5
20=h*5
h=20/5
h=4
It will take 4 hours.
Write the greatest and the least numbers formed by the digits 4, 2, 3, 5, 6 and add these numbers.
and those who will give it's correct answer I will make him /her brainlist
Answer:
Greatest number is 65432
Lowest number is 23456
Step-by-step explanation:
[tex]65432+23456=88888[/tex]
convert 123000000 milligram into gram
Answer:
123,000 grams
Step-by-step explanation:
1000 mg is equivalent to 1 gram.
Answer:
123000g
Step-by-step explanation:
1000mg=1g
123000000mg= xgrams
cross multiplying,
you'll have
[tex] \frac{123000000}{1000} = 123000[/tex]
What is the inequality?
Answer:
The best option would be the second one.
Step-by-step explanation:
This is the only option that shows that x can only be greater than -8. The circled dot means x cannot be the number the dot is sitting on, in this case, -8.
Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2
Hi
5x²-x-4 = 0
Δ= (-1)² - 4*5*(-4)
Δ = 1 -4*-20
Δ = 1 +80
Δ = 81
√Δ= 9
as Δ ≥ 0 , so 2 solutions exist in R
S1 is : ( 1+9) /2*5 = 10/10 = 1
s2 = (1 -9)/2*5 = -8/10 = -4*2 /2*5 = -4/5
Corrects answers are A and D
Answer:
A. -4/5 And D. 1
Step-by-step explanation:
i just got it right
what is the square root of 100
The square root of 100 is 10.
To check, solve 10 x 10.
Hope this helps! Please mark me as brainliest!
Have a great day!
A construction worker uses a tape measure to find that a pipe is
28
100
of a meter long. Select the decimal that represents the same length.
Answer:
c 0.28 m
Step-by-step explanation:
A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.
a 1.28 m
b 2.8 m
c 0.28 m
d 0.028 m
Given:
Length of the pipe in fraction = 28/100
What is the equivalent length in decimal?
28/100
How many hundred can you get in 28
= 0. Remainder 28
Add 0 to 28 which makes it 280
How many hundred can you get in 280
= 2 remainder 80
Add 0 to 80 which makes it 800
How many hundred can you get in 800
= 8 remainder 0
Bring all the quotient together
Therefore,
28/100 m = 0.28 m
I need help to find x=
Answer:
x=12
Step-by-step explanation:
Since the polygons are similar, we can write a ratio to solve
red side / yellow side
4 2
--- = ---
x 6
Using cross products
4*6 = 2x
24 = 2x
Divide by 2
24/2 =2x/2
12=x
Answer:
12
Step-by-step explanation:
When two shapes are similar, you need to find the scale factor of two existing corresponding sides.
For example, you can do 6 and 2.
Divide:
6/2 = 3
The scale factor: 3
Now multiply 4 and the scale factor (3):
4 × 3 = 12
So, x = 12.
Hope this helped.
∠
∠
H
and
∠
∠
G
are linear pairs. m
∠=40∘
∠
H
=
40
∘
. The measure of
∠
∠
G
is _________ degrees.
Answer:
G = 140
Step-by-step explanation:
Linear pairs add to 180
H+G = 180
40+G = 180
G = 180-40
G = 140
help *ASAP!* thank you
Answer:
C2 because 40+40+25 equals 105 not 110
Which numbers are solutions of each inequality?
Answer:
45. -7.1, -7 1/7
46. 3.7
Step-by-step explanation:
45. y < -7
Answer: -7.1, -7 1/7
46.
z > 3 2/3
Answer: 3.7
If P(x) = P[tex]_{n}[/tex][tex]x^{n}[/tex] + P[tex]_{n-1}[/tex][tex]x^{n-1}[/tex] + · · · + P[tex]_{0}[/tex] is divided by (x - a), show that the remainder is P(a)
If [tex]P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0[/tex] is divided by [tex](x-a)[/tex], then [tex]P(x) = (x-a) \cdot Q(x) + R(x)[/tex] for some polynomials [tex]Q,R[/tex]. Moreover, [tex]\deg R < 1[/tex] (because [tex]\deg (x-a) = 1[/tex]), so there exists [tex]\alpha \in \mathbb{R}[/tex] such that [tex]R(x) = \alpha[/tex] for all [tex]x \in \mathbb{R}[/tex]. But if we calculate [tex]P(a)[/tex], it turns out that [tex]P(a) = (a-a)\cdot Q(a) + \alpha[/tex], so [tex]R(x) = \alpha = P(a)[/tex]. [tex]\blacksquare[/tex]
Find a recursive rule for the nth term of the sequence.
-8, 3, 14, 25, ...
Answer:
Step-by-step explanation:
a1=-8
a2=3
D=11
n=-8+11(n-1)
