Answer: The correct answer is B
Step-by-step explanation: (1/2,-sqrt3/2) just took quiz you’re welcome
By trigonometry functions, the coordinates of the terminal point are (1/2, -√3/2)
The given function is t = 11 pi / 3
How to find the coordinates of the terminal point?Given: t = 11 pi / 3
By the definitions of trigonometry functions, the point P has as coordinates P(x, y).
x=cos(11π/3) and y=sin(11π/3)
Trig table and unit circle give
x= cos(11π/3)=cos(-π/3+4π)
=1/2
y=sin(11π/3)=sin(-π/3+4π)
=-sin(π/3)=-√3/2
P is in Quadrant IV, (1/2, -√3/2) be the coordinates of the terminal point at t = 11π/ 3.
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Find the total surface area in square kilometers, of the 3-dimensional
figure shown below.
Enter only a number as your answer.
[tex]\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\[/tex]
please answer
what is 2y^4 x 5y^3
it is the answer of your question
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(2y4 • 5) • y3
STEP
2
:
Equation at the end of step 2
(2•5y4) • y3
STEP
3
:
Multiplying exponential expressions
3.1 y4 multiplied by y3 = y(4 + 3) = y7
Final result :
(2•5y7)
Can u plz help me with this question
Answer:
300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.
when t = 5, it equals $275
when t = 10, it equals $250
when t = 15, it equals $225
when t = 20, it equals $200
Step-by-step explanation:
The pic is here , just the question wouldn’t show up right. Any help ?
Answer:
its 4√2i i think
Step-by-step explanation:
Answer:
Answer:B
Step-by-step explanation:
What is the volume of the pyramid? A rectangular pyramid with a base of 8 centimeters by 6 centimeters and a height of 5 centimeters. 10 centimeters cubed 80 meters cubed 120 centimeters cubed 240 centimeters cubed
Answer:
Step-by-step explanation:
8•6= 48•5=240 divided by 3= 80
The volume of the rectangular pyramid is 80 cubic centimeter.
What is volume?
Volume is the measure of the capacity that an object holds.
Formula for the volume of a rectangular pyramid[tex]v = \frac{lwh}{3}[/tex]
Where,
V is the volume of the rectangular pyramid
l is the base length
w is the base width
h is the Pyramid height
According to the given question
We have
Base length of the rectangular pyramid = 8cm
Base width of the rectangular pyramid = 6cm
And the height of the rectangular pyramid = 5cm
Therefore,
The volume of the rectangular pyramid is given by
V = [tex]\frac{(8)(6)(5)}{3}[/tex]
⇒ V = 8 × 2 × 5
⇒ V = 30 cubic centimeter
Hence, the volume of the rectangular pyramid is 80 cubic centimeter.
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Factorize 3x to second power minus 6x
Answer:
3x( 3x -2)
Step-by-step explanation:
(3x) ^2 - 6x
9x^2 -6x
The greatest common factor is 3x
3x( 3x -2)
If the denominator of 5/7 is increased by a number and the numerator is doubled, the result is 1. Find the number.
Answer:
3
Step-by-step explanation:
let n be the number, then
[tex]\frac{10}{7+n}[/tex] = 1 ← multiply both sides by 7 + n
10 = 7 + n ( subtract 7 from both sides )
3 = n
HELP ME PLEASE AND THANKS :) <3
Answer:
D. Cost
It is cost because the y axis is the dependent variable because the cost depends on the weight and the dependent is the y axis.
Step-by-step explanation:
Please mark brainliest I hope this helps.
Answer:
D the cost
Step-by-step explanation:
cause the costs always go on the y axis
I WILL MARK BRAINLIEST IF YOU ARE RIGHT please help me ive been stuck on this ever since monday haha im not sure how to do it thanks!
I'll remember some concepts:
[tex]\log_{a}{b} = \log_{a}{c} \implies b=c\\\\\log_{a}{b}+ \log_{a}{c} = \log_{a}{b\cdot c}[/tex]
Question:
[tex]\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)}+\log_{6}({x+3)}\\\\\\\log_{6}{(x^2-5x)}=\log_{6}{(2x-9)\cdot(x+3)}\\\\\\(x^2-5x) = (2x-9)\cdot(x+3)\\\\\\x^2-5x=2x^2+6x-9x-27\\\\\\0 = x^2+2x-27\\\\\\\Delta = 4+108 = 112\\\\\\\\\sqrt{\Delta} = \sqrt{112} = 4\sqrt{7}\\\\\\\\x = \dfrac{-2\pm 4\sqrt{7}}{2}\\\\\\\\x = -1 \pm 2\sqrt{7} \\\\\\\\x_1 = 2\sqrt{7} -1\\\\\\x_2 = -1-2\sqrt{7}[/tex]
The negative solution cant exist since we are talking about logarithms.
Simplify the expression. −9(4 − 3j)
Answer:
-36 + 27j
Step-by-step explanation:
−9(4 − 3j)
Distribute
-9 * 4 -9 * (-3j)
-36 + 27j
Answer:
27j - 36.
Step-by-step explanation:
−9(4 − 3j)
= -9 * 4 - 9 * (-3j)
= -36 + 27j
= 27j - 36
Hope this helps!
A bag contains 16 cards numbered 1 through 16. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it?
Answer:
Step-by-step explanation:
Probability is expressed as
Number of favorable outcomes/total number of possible outcomes
From the information given,
Total number of outcomes = 16
Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15
This means that the number of favorable outcomes is 5
Therefore, the probability that the card has a multiple of 3 on it is
5/16 = 0.3125
You cannot tessellate six-sided regular polygons by themselves.
A. True
B. False
Answer:
This statement is B. False
Step-by-step explanation:
You CAN tesselate six-sided regular polygons by themselves therefore, this statement is FALSE.
Hope this helped! :)
Answer:
Step-by-step explanation:
What is the length of line segment ABin the triangle shown below?
B=8 inches
A=17 inches
Step-by-step explanation:
For this triangle,we can use Pythagoras' theoremThe state is that : a²+b²=c²In this figure,notice that a shorter side needs to be found,so after writing the Pythagoras formula in the usual way,the formula has to be rearranged to make x² the subject a²+b²=c² 8²+x²=17² 64+x²=289 x² = 289- 64 x² = 225 x = √225 =15inchesA bike store marks up the wholesale cost of all bikes they sell by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
Answer:
96.15
Step-by-step explanation:
The mark the bikes up 30 %
wholesale + wholesale * 30 percent = selling price
wholesale ( 1+ 30%) = selling price
wholesale (1.30) = 125
Divide by 1.30
wholesale = 125/1.30
wholesale =96.15384615
Rounding to the nearest cent
96.15
Answer:
the wholesale cost of this bike is $96.15
Step-by-step explanation:
2. If the bike is discounted by 20%, how much will Calvin pay (before tax)?
$100
please help me this is all due tomorrow!!!!!
Answer:
5
Step-by-step explanation:
Using Pythagoras' identity
The horizontal distance between A and B is 3 units
The vertical distance between A and B is 4 units
Thus
AB = [tex]\sqrt{3^3+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Three students attempt to define what a line segment is.
Answer:
the line segment is a part of an infinite line.
Answer:
Ebuka is correct. Ivy is thinking about a line, not a line segment. And ethan is the one saying that a line segment is about more than a length.
a man is four times as old as his son in five years time he will be three times as old as his son what is the present age of the son in years
I would start by setting up a chart like I did below.
Label one column age now and the other age in 5 years.
Since we don't know the son's age we use x.
We do know that the man's age is 4 times the son's age.
So the man's age will be 4x.
In the age in 5 year column, we add 5 to their current ages.
Now set up our equation.
Since it says "in five years" we use information in second column.
In 5 years time, he, "4x + 5", will be, equals,
3 times as old as his son, "3(x + 5)".
So we have 4x + 5 = 3(x + 5).
Solving from here, we find that x = 10.
So the son is 10 and the man is 4 times his age or 40.
Complete the table of values below:
x -3 -2 -1 0 1 2 3 How the graph relates to y=2x
y=2x Answer
Answer
Answer
Answer
Answer
Answer
Answer
Not applicable
y=-2x Answer
Answer
Answer
Answer
Answer
Answer
Answer
multiplied by Answer
y=(3)(2x)
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a [tex]y = 2^x[/tex]
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. [tex]y = -2^x[/tex]
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. [tex]y = (3)(2^x)[/tex]
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Answer:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b.
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c.
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Simplify the expression -4.6+( -1.4) .on the test , when maureen simplified the expression she got 3.2 .
Answer:
Step-by-step explanation:
-4.6+( -1.4)=
-4.6-1.4=-6 maureen is wrong, because both have the minus , so she should add with the minus symbol.
Hello can someone help me solve this question? Change it to factored form! Thank you.
Answer:
4(x-2)^2
Step-by-step explanation:
4x^2 -16x + 16
= 4(x^2 - 4x +4)
= 4(x - 2)^2 because a^2 - 2ab + b^2 = (a - b)^2
Answer:
The answer is 4(x-2)(x-2) or 4[tex](x-2)^2[/tex]
Step-by-step explanation:
[tex]4x^2[/tex]-16x+16
There is a common factor of 4. Factor 4 out.
4( [tex]x^2[/tex]-4x+4)
Now, there is no factor in front of x, so seperate the equation into two parts, with one x on both sides:
(x ____) (x____)
The constant (4) is positive. Ways to multiply to get positive numbers:
negative x negative or
positive x positive.
Since (-4x) is negative, try with negative numbers first.
(x- ___ ) (x- ___)
Factors of 4 = 1,2,2,4
4 and 1 would combine to give 5.
2 and 2, however, work!
(x-2)(x-2)
FOIL.
x^2-2x-2x+4
x^2-4x+4
The answer is 4(x-2)(x-2) or 4[tex](x-2)^2[/tex]
6TH GRADE MATH PLEASEHELP HELP ME ANSWER I WOULD APPRECIATE IT PLEASE
━━━━━━━☆☆━━━━━━━
▹ Answer
b. [tex]\frac{5}{8}[/tex]
▹ Step-by-Step Explanation
[tex]\frac{1}{16} + \frac{9}{16} = \frac{10}{16} \\\\= divide each side by 2\\\\\frac{10}{16} = \frac{5}{8}[/tex]
- Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
10/16 but I’m pretty sure your teacher is gonna want for you to reduce to where you answer would actually be 5/8
Step-by-step explanation:
1/16 +9/16 you’ll add the top number which equals up to 10, but since both of your bottom number are the same you lol keep those making your answer 10/16. But most teacher prefer you to reduce so it’ll bring your answer to 5/8 since the only number that can go into both 10 and 16 is 2 which is what you did. In conclusion 5/8 is your answer.
Alice, Bertie and Cara like to spend time outdoors. One of them is an avid
scuba diver. For vacation, Bertie went to the mountains, Cara went to an
Island, and Alice went to the desert. Who is the diver?
Answer:
Cara.
Step-by-step explanation:
Cara went to an Island.
Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below.
Quadrilateral R S T Q. Angle R is 140 degrees, angle S is 94 degrees, angle T is 79 degrees, and angle Q is 47 degrees.
Which pair of measurements are possible if they are congruent figures?
Measure of angle W = 47 degrees and Measure of angle X = 94 degrees
Measure of angle X = 94 degrees and Measure of angle Z = 79 degrees
Measure of angle W = 47 degrees and Measure of angle Y = 140 degrees
Measure of angle X = 140 degrees and Measure of angle = 94 degrees
Answer:
None of these
Step-by-step explanation:
The congruent occurs when the two diagrams are matched with each other in terms of the same sides and same angles
In other terms, we can say that if both quadrilaterals contain the same sides and same angles so we called as congruent
As we can see in the figure that there is only angles are given but not the sides that are totally different
Hence, none of these is the right answer
Answer:
D.) Measure of angle X = 140 degrees and Measure of angle = 94 degrees
Step-by-step explanation:
When you take a picture with a 35mm camera, the image passes through the camera lens and is rotated and dilated onto the screen for viewing.
Answer:
That was a good fun fact.
Which of these is an exponential parent function?
O A. f(x) = 2x +
nim
O B. f(x) = 2*
O c. f(x) = 2X + 2
O D. f(x) = 2x - 3
Answer:
The answer is option B.
[tex]f(x) = {2}^{x} [/tex]
Hope this helps you
which point is between the other two points? find coordinates of D and F
Point D is between points C and F as the diagram shows. Without using a visual aid, you can tell based on how CD and DF are ordered. Note how the "D"s in CD and DF are adjacent when you place them together
CD DF ---> CF
That is one way to think about it. Although, for me, a visual guide is better.
---------------
Point C is at location 20 on the number line. We move 3 spots over to get to point D, so D is at 20+3 = 23 on the number line. Then we move another 5 units to the right to get to point F which is at 23+5 = 28
C = 20
D = 23
F = 28
the original price P of a shirt less $5 discount
Answer:
P - 5
Step-by-step explanation:
hello
original price is P
$5 discount means that the final price is P - 5
hope this helps
Answer:
p-5
Step-by-step explanation:
Determine the operation that results in the simplified expression below. x^5+x^4-5x^3-3x^2+x-8
Answer:
The second choice is correct:
.. Q - P
_____
The constant term is all you really need to look at to figure this.
For P(x), the constant is +2.
For Q(x), the constant is -6.
For P+Q, the constant is -4 . . . . not correct
For Q-P, the constant is -8 . . . . correct
For PQ, the constant is -12 . . . . not correct
For P-Q, the constant is 8 . . . . .not correct
Step-by-step explanation:
find the height of a tree whose shadow is 42m long when the shadow of a man 1.8m tall is 2.4m long
Answer:
The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:
3 : 4 = x : 42
3 * 42 = 4x
x = 3 * 42 / 4 = 31.5
A vertical translation is used to move triangle DEH onto triangle D’E’H’.
Use the drop-down menus to describe the vertical translation used.
Answer this:
•vertical translation: Triangle DEH is translated —— units ——.
Answer:
5 units in the positive y-axis
Step-by-step explanation:
In order to get triangle D’E’H’, triangle DEH was moved upwards for a number of units which can be obtained by taking a corner of the rectangle and counting the number of square spaces (grids) it was moved upwards by.
Step one: Pick a corner of the triangle.
For this, we can pick corner D and note its position on the graph
Step two: Count the number of squares between point D and D'.
Once we count this, we can see that there are 5 square spaces between D and D'.
Step Three: Repeat the process for the other two corners of the rectangle.
If the square spaces counted are the same with what was obtained for the first corner, we can comfortably say that the rectangle was translated upwards by a distance of 5 units