Answer:
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Step-by-step explanation:
The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.
Given
[tex]P = (x,-\frac{5}{7})[/tex]
Required
Determine the possible value of x
Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:
[tex]x^2 + y^2 = 1[/tex]
Substitute -5/7 for y
[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]
[tex]x^2 + \frac{25}{49} = 1[/tex]
Collect Like Terms
[tex]x^2 =1- \frac{25}{49}[/tex]
Take LCM
[tex]x^2 =\frac{49 -25}{49}[/tex]
[tex]x^2 =\frac{24}{49}[/tex]
Take the square root of both sides
[tex]x =\± \sqrt{\frac{24}{49}}[/tex]
[tex]x = \±\frac{\sqrt{24}}{7}[/tex]
[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]
Split
[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Which Triangle appears to be both right and isosceles?
Answer: B
Step-by-step explanation: An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs.
A cylinder has a volume of 48π cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights.
height (cm) volume (cm3)
h 48π
2h ? answer in pi
5h ? answer in pi
h/2 ? answer in pi
h/5 ? answer in pi
Answer:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
Step-by-step explanation:
The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is defined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
From statement, we understand that volume of the cylinder is directly proportional to its height. That is:
[tex]V \propto h[/tex]
[tex]V = k\cdot h[/tex] (2)
Where [tex]k[/tex] is the proportionality constant, measured in square centimeters.
In addition, we eliminate this constant by constructing the following relationship:
[tex]\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}[/tex]
[tex]V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}[/tex] (3)
Based on (3) and knowing that [tex]V_{1} = 48\pi[/tex], we calculate the volumes for each height ratio:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
A group of friends wants to go to the amusement park. They have no more than $95
to spend on parking and admission. Parking is $12.25, and tickets cost $17 per
person, including tax. What is the maximum number of people who can go to the
amusement park?
Answer:
4
Step-by-step explanation:
95 - 12.25 = 82.75
82.75 ÷ 17 = 4.867
Are the ratios 16:8 and 4:2 equivalent?
-4(x+6)+2(x-2) please help!
Answer:
−2x−28
Step-by-step explanation:
Distribute:
=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)
=−4x+−24+2x+−4
Combine Like Terms:
=−4x+−24+2x+−4
=(−4x+2x)+(−24+−4)
= −2x - 28
Find the slope!! Please
Answer:
The slope is -(1/3)
Step-by-step explanation:
For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).
This observation yields the following equation for your line:
f(x) = y = -(1/3)x + 1
Therefore, the slope is -(1/3).
Which equation is not linear?
y = –3x + 4
y = 6x
y = 3
y = x5 – 1
Answer:
y=3 maybe
Step-by-step explanation:
The ratio of petunias to geraniums in the green house was 15 to 2. The combined number of of petunias and geraniums was 1020. How many geraniums were in the green house
Answer:
136
Step-by-step explanation:
divide 1020 by 15 = 68. 68 x 2 is 136
Urgent please hell..
What is the value of the expression 52 + 22?
Answer:
55 + 22 = n
= 77
n = 77
Hope this helps! :D
Step-by-step explanation:
A newsstand seller sold a total of 68 magazines and newspapers, which brought in a total of $199 on a certain day. Newspapers sell for $2 per copy and magazines sold for $5 per copy. How many magazines were sold on that day?
Answer:
21
Step-by-step explanation:
Using inequality to solve this question, we say
Let the total number of newspapers sold be x
Let the total number of magazines sold by y
x + y = 68
Suppose 1x = $2 and 1y = $5, then
2x + 5y = $199
Solving both as a simultaneous equation, we get that
2(68 - y) + 5y = $199
136 - 2y + 5y = $199
136 + 3y = $199
3y = 199 - 136
3y = 63
y = 63/3
y = 21
Then solving for x, we have
x + 21 = 68
x = 68 - 21
x = 47
Therefore, a total of 21 magazines were sold that day
Pls help me on this question!!
Answer:
from what i can tell this seems to be a translation three units down and three units to the left, this is not a dilation
Step-by-step explanation:
please help me I will mark you brainliest
Answer: q=4
Step-by-step explanation:
6. Louie's Lemonade is available in 2.5 gallon jugs. A serving is 8 fluid ounces (fl. Oz.). How many servings are in one jug of lemonade? 1 cup = 8 oz. 1 gallon = 16 cups
Answer:
5 servings
Step-by-step explanation:
2.5 gal x 16 cups each= 40 cups total
1 cup = 8 oz
40 oz / 8 oz = 5 servings
Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please
Answer:
200 box 1 / 400 box 2
box 2 Step-by-step explanation:
200 + 400 = 600
Answer:
Hello asuna here
600 would be your answer
Step-by-step explanation:
Hope this helps
Help me somebody please
Which expression has a solution of 27, if r = 3?
Answer:
rx9
Step-by-step explanation:
9x3=27
Answer:
9r = 27
Step-by-step explanation:
Have a great day <3
What is the slope of the line that passes through the points (-8,-6) and (-18,6)
Answer:
-6/5
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6 - -6)/( -18 - -8)
= ( 6+6)/ (-18+8)
= 12/ -10
-6/5
9. found the answer.... Find the function rule.
y=4x+3
Write a rule for the linear function in the table.
I NEED HELP PLEASE!!!!!
A. f(x) = –4x – 3
B. f(x) = x + 3
C. f(x) = 1/4x + 3
D. f(x) = 4x + 3
Answer:
The answer is "Choice D"
Step-by-step explanation:
In this question, given equation "[tex]y=4x+3[/tex]" is similar the choice d, and its values matches the given table, that can be defined as follows:
choice:
[tex]\to f(x)=4x+3\\\\ when \ x=0\\\to f(0)=4\times 0+3=0+3=3 \\\\ when \ x=3\\\to f(3)=4\times 3+3=12+3=15 \\\\when \ x=6\\\to f(6)=4\times 6+3=24+3=27 \\\\when \ x=9\\\to f(9)=4\times 9+3=36+3=39 \\\\[/tex]
The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
l = w + 3
l = w + 3
l = w – 3
l = 2w + 3
l = 2w – 3
Answer:
l = 2w – 3
Step-by-step explanation:
Answer:
l = 2w – 3
Step-by-step explanation:
Hope this helps!!!
Evaluate for f ^-2 for f = 3 and g = 27 .
Answer:
1/9
Step-by-step explanation:
if your question is about evaluting f^-2
then the answer is
f = 3
then
f^-2 = 3^-2 = 1/9
Answer:
3
Step-by-step explanation:
You meant f^-2(g) for f = 3 and g = 27.
(3^-2)(27)
= 1/9(27)
= 3
:)
The sum of two numbers is 47. twice the first number and three times the second number have a sum of 100. Set up a system of equations to find the numbers
Answer:
23
Step-by-step explanation:
x + y = 47
2x + 3y = 100
Solving steps
x + y = 47 (-2)
2x + 3y = 100
We multiply the first equation by -2. This is so that x changes to -2x (So it would match the x below). We can then cross it over, since the equation below has 2x and -2x + 2x = 0.
-2x - 2y = -94
2x + 3y = 100
Y = 6
We get y = 6 by subtracting -2y (From the above equation) from 3y. This gives us Y. Afterwards, We subtract -94 (From the above equation) from 100 and that gives us 6. Therefore, y = 6.
To get x. We sub in the value for y into one of the equations and solve.
2x + 3(6) = 100
2x + 18 = 100
We bring over 18 from one side to the other, to get x alone. We have to change 18 to - 18 because it crosses over to the other side.
2x = 100 - 18
2x = 72
x = 72÷2
x = 36.
X = 36
Y = 6
(36, 6)
Perimeter? =
Area? =
Answer:
Your answer is
Area = 16.23
perimeter = 24
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
Which number makes the equation true?
blank divided by eighteen equals one third
Question 13 options:
32
24
12
6
Answer:
6
Step-by-step explanation:
x/18 = 1/3
3x = 18
x = 6
-2(3x-4)+3x=17 solve for x
x=-3
-6x + 8 + 3x = 17
-3x + 8 = 17
-3x = 17 - 8
-3x=9
x=-9/3
x=-3
The cost of a car rental is $30 per day plus 23 cents per mile. you are on a daily budget of $76 . You can drive at most how many miles per day
Answer:
200 miles
Step-by-step explanation:
y=0.23x+30
76=0.23x+30
46=0.23x
x=200
triangle ABC is isosceles with AB=AC and angle A=50°. the bisector of angle B and angle C meet at D. find the measure of BDC
Answer:
115 degrees
Step-by-step explanation:
From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.
First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180
180 - 50 = 130
then divide that by two to get the two equal angles
130/2 - 65
angle bisector divides the angles in half so the measures of CBD and BCD are 65/2
that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180
180 - 65/2 -65/2 = 115
Samuel's parents own a chocolate shop, and today he gets to help make the nut truffles. Each truffle starts with one of 4 kinds of nuts and is dipped in one of 3 kinds of chocolate. How many different nut truffles can they make?
Keisha is making potato casserole
for a dinner party. She needs of a
potato per guest. How many
potatoes will she need for 9 guests?
Answer:
4 1/2 I think
Step-by-step explanation:
I think but I'm not for sure
A bakery made 1, 575 butter cookies. After arranging the cookies into packages, the bakery did not have any cookies left. How many cookies could have in each package? *
1 point
A. 6
B. 5
C. 9
D.4
Answer:
B. 5 might be the answer.
Answer: Either B. 5 or C. 9
Explanation: Assuming there would be the same amount of cookies in each package, to see if they would all fit perfectly and there be no leftover cookies, simply divide 1,575 (the number of total cookies) by how many cookies could be in each package. If it comes out with "point something," then the numbers after the decimal point would be how many cookies will be leftover. 5 and 9 both end up with no decimal, so that's as much as I know.
