Answer:
See below.
Step-by-step explanation:
Recall that the equation for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h,k) is the center and r is the radius.
We know the center is (0,5) and the radius is 8. Plug in the numbers:
[tex](x-(0))^2+(y-(5))^2=(8)^2[/tex]
We can remove the parentheses on the left. Therefore, the equation will be:
[tex]x^2+(y-5)^2=64[/tex]
Answer:
( x) ^2 + ( y-5) ^2 = 64
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
( x-0) ^2 + ( y-5) ^2 = 8^2
( x) ^2 + ( y-5) ^2 = 64
Figure A is a scale image of Figure B. What is the value of x?
Answer:
x = 5.4
Step-by-step explanation:
Multiply 7.2 by 3/4 to find the equivalent ratio.
Answer:
5.4Step-by-step explanation:
[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]
Apply cross product property
[tex]4x = 7.2 \times 3[/tex]
Multiply the numbers
[tex]4x = 21.6[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]
Calculate
[tex]x = 5.4[/tex]
Hope this helps..
best regards!!
The cylinder shown has a volume of 150 cubic inches and its height is equal to its radius. The cylinder and the sphere shown have the same radius. What is the volume of the sphere?
Answer:
V = 200
Step-by-step explanation:
Cylinder
V = pi r^2 h
150 = pi r^2 h
We know that h = r
150 = pi r^2 r
150 = pi r^3
Divide each side by pi
150 /pi = r^3
Take the cube root of each side
( 150 / pi ) ^ 1/3 = r
3.627831679 = r
Rounding to 3.63
Now find the volume of the sphere
V = 4/3 pi r^3
Replacing r^3 with 150 /pi
V = 4/3 * pi ( 150/pi)
V = 4*150 /3
V = 200
Type the correct answer in each box. Use the graph to complete the given statements. Enter the letters A, B, C, or D in the boxes. (graph below) The function with the lowest output values as x approaches infinity is ____ . The function with the greatest output values as x approaches infinity is ____ .
As x approaches infinity,
The function with the lowest output is graph A
The function with the greatest output is graph B
===========================================================
Explanation:
As the graphs head to the right, they go up forever. However, the growth rate (how fast they go upward) varies. The red straight line (line A) goes up the slowest. The growth rate is the same throughout the entire function. The rate is the slope of the line. In contrast, the purple curve B goes up the fastest as it has the steepest increase among the four graphs. The graph steadily gets steeper as you move to the right.
The exponential graph will grow the fastest compared to a linear one or parabolic one. Graphs B and C are exponential, where graph B has a steeper curve compared to graph C.
Answer: The function with the lowest output values as x approaches infinity is Graph A.
The function with the greatest output values as x approaches infinity is Graph B.
Step-by-step explanation: I can’t give you a step-by-step explanation, but this is right!
What the answer now fast correct
Answer:
12.6 units.
Step-by-step explanation:
According to cosine formula:
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using cosine formula in triangle STU, we get
[tex](SU)^2=(ST)^2+(TU)^2-2(ST)(TU)\cos T[/tex]
[tex]t^2=(5)^2+(15)^2-2(5)(15)\cos (53^{\circ})[/tex]
[tex]t^2=25+225-150(0.60)[/tex]
[tex]t^2=160[/tex]
Taking square root on both sides.
[tex]t=\sqrt{160}[/tex]
[tex]t\approx 12.6[/tex]
Therefore, the value of t is 12.6 units.
Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2)
A. y + 2 = 2(x - 2)
B. y 4 20 + 1)
c. y + 1 = 2(3-4)
D. y 2 233 - 2)
Answer:
The answer is option BStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find an equation of a line given two points first find the slope / gradient
Slope of the line using points (-1,4) and (-2,2) is
[tex]m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2[/tex]
So the equation of the line using point (-1,4) is
y - 4 = 2( x + 1)Hope this helps you
In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?
En una botella caben 2.75 litros de agua. ¿Aproximadamente cuántos galones caben en la botella?1 espacio l i t r o casi igual a 0.264 espacio g a l o n e s
Answer:
0.726 galones
Step-by-step explanation:
De la pregunta anterior, se nos dice que
1 botella = 2.75 litros de agua
Se nos pide encontrar cuántos galones puede contener.
En la pregunta, nos dicen
1 litro = 0.264 galones
2.75 litros =
Multiplicación cruzada
2.75 litros × 0.264 galones
= 0.726 galones.
Por lo tanto, 0.726 galones pueden caber en la botella
If it rains, I do not go sailing. It rains 10 % 10\% 10% of days; I go sailing 3 % 3\% 3% of days. If it does not rain, what is the (conditional) probability that I go sailing? Written "p(I go sailing | it does not rain)''
Answer:
0.03333 or 1/30
Step-by-step explanation:
Let A =" I go sailing" and B = "it does not rain"
P(A) = 0.03
P(B) =0.90
Since I never go sailing when it rains, P(A and B) =0.03.
Therefore, the (conditional) probability that I go sailing, given that it does not rain is:
[tex]P(A|B)=\frac{P(A\ and\ B)}{P(B)} \\P(A|B)=\frac{0.03}{0.90}=0.033333[/tex]
The probability is 0.03333 or 1/30.
The distance from Parrot Point Airport to the Ivy Cliffs is 291 miles at and angle of 9.1 degrees northeast. There is a wind blowing southeast at 25 miles per hour. You want to make this trip in 3 hours by flying straight there. At what speed* and heading should you fly?
Answer:
The speed V = 194.03 mph
Direction = 3.6° northeast
Step-by-step explanation:
The distance of the trip = 291 miles
The direction of flight = 9.1 degrees northeast
Speed of the prevailing wind = 25 mph
Direction of wing = southeast = 45 degrees South of East
The speed heading to Ivy Cliffs = V₁
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(sin(45) + -cos(45)) × t₂ = 291 miles
t₁ + t₂ = 3 hours
(V×(sin(9.1)-25×(sin(45))j + (V×cos(9.1) + 25×cos(45))i
The magnitude V² = V²+29.32·V +625= 291²/t₁²......(1)
Also on the return trip we have;
V²-29.32·V +625= 291²/(3-t₁)²..........................................(2)
Subtracting equation (2) from (1) gives;
58.64·V = 291²/t₁² - 291²/(3-t₁)² = 291²×(6·t-9)/(t²·(t-3)²)
V = 291²×(6·t-9)/(t²·(t-3)²)/58.64
Substituting the value of V in (2) with a graphing calculator gives;
t₁= 1.612 or 1.387
Given that magnitude of the speed going > return = V² for t₁ < t₂
t₁ = 1.387, t₂ = 1.612
From V²+29.32·V +625= 291²/t₁², we have
V²+29.32·V +625= 291²/1.387²
Which gives
V²+29.32·V -43336.5 = 0
(V + 233.35)(V-194.03) = 0
V = -233.35 mph or V = 194.03 mph
Given that V is a natural number, we have, V = 194.03 mph.
The direction is given by the relation;
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45)) × t₁ = 291 miles
194.03×sin(9.1 degrees)-25×sin(45 degrees)j + 194.03×cos(9.1 degrees) + 25×cos(45 degrees)i = 291/1.387
13j + 209.27i = 208.81 mph
The angle tan θ = 13/209 = 0.00622
θ = tan⁻¹(13/209.27) = 3.6°.
Which properties would you use to simplify the following expression? log (17x3)
Answer:
Step-by-step explanation:
Did you mean log (17*3)? If so, your log (17x3) becomes log 17 + log 3.
Did you mean log 17^3? If so, log 17^3 = 3 log 17.
Did you mean log 17*x*3? If so, this equals log 17 + log x + log 3
Answer:
C: 1 and 3
Step-by-step explanation:
EDGE2021
What is the result of adding these two equations?
62 + 2y = -2
3x - 2y = -5
Answer:
x = -7/9; y = 4/3.
Step-by-step explanation:
I will assume that the top equation is 6x + 2y = -2, and the bottom one is 3x - 2y = -5.
If you add the two...
(6x + 3x) + (2y + (-2y)) = (-2 + (-5))
9x + 0 = -7
9x = -7
x = -7/9
6(-7/9) + 2y = -2
-42/9 + 2y = -18/9
2y = 24/9
y = 24/18
y = 12/9
y = 4/3
Hope this helps!
Evaluate the expression. Assume that all the angles are in Quadrant I. (cos (arctan √3/7))
Answer:
0.971
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
Hence the expression (cos(arctan√3/7)) is equivalent to 0.971
Answer:
y = 0.971.
Step-by-step explanation:
Given the expression (cos (arctan √3/7)) which all lies in the first quadrant. Note that all the trigonometry identities (sin, cos and tan) are all positive in the first quadrant.
From the expression given
(cos (arctan √3/7)), we need to get the expression in parenthesis first.
Let y = (cos (arctan √3/7))
If u = arctan √3/7
Then y = cos(u) .... 1
Let's get the value of u first
u = arctan √3/7
u = arctan(0.2474)
u = 13.896°
Substituting u = 13.896° into equation 1, we will have;
y = cos(u)
y = cos13.896°
y = 0.971.
a pair of dice rolled many times and the result appears below. based upon these results,what is the experimental probability of rolling a multiple of 3
Answer:
There's no results that appear below
A student who is 5ft tall and cast a shadow 8ft long.at the Same time a flag shadow is 24ft long.how long is the flag?
Answer:
The long of the flag is:
15 ft
Step-by-step explanation:
On a three rule:
5 ft is to 8 ft
24 ft is to A ft
A = 24*5/8
A = 15 ft
related task: https://brainly.com/question/17139181
super easy problem its just graphing!! will mark brainliest <33
Answer:
[tex]y\ =\ \left|\frac{1}{2}x-2.5\right|+3[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
Check below the graph.
Step-by-step explanation:
Hi, for this function, check the graph below:
1) Note that in this function the value outside the brackets points how high the graph will be traced.
2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.
Use multiplication to solve the proportion
w/4 = 42/24
Answer: w=5
Step-by-step explanation:
I need help with this please answer
Answer:
B. [tex]1\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]
[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]
[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7
8/7=[tex]1\frac{1}{7}[/tex]
Hope this helped!!!
What is the slope of a line perpendicular to one with a slope of {-2}{3}.
Answer:
3/2
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
m * -2/3 =-1
Multiply by -3/2 to isolate m
m * -2/3 * -3/2 = -1 * -3/2
m = 3/2
The perpendicular line has a slope of 3/2
Tasha wants to find out if she is going to pass her test. She decides that she will
simulate her test by flipping a coin. This means
a) There is a 50-50 chance she will pass her test.
b) All of the questions are multiple choice.
c) She hasn't studied.
d) There is a 20% chance she will pass.
Answer:
A
Step-by-step explanation:
Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.
A pair of dice is rolled. What is the probability that the sum is 11? Please show your work!
Answer:
2/36 or 1/18
Step-by-step explanation:
There are 36 possible outcomes (6x6).
Only 2 possibilities equal 11. (5+6 and 6+5).
So the probability is 2/36, or 1/18.
Is 3/4 = 9/12 greater or less than 1/2
Answer:
greater than
Step-by-step explanation:
To compare 3/4 to 1/2, let's convert 1/2 so that it has a denominator of 4. This would then be 2/4. Because 3 > 2, 3/4 > 2/4 which means 3/4 > 1/2.
Answer:
Greater
Step-by-step explanation:
It is greater than 1/2 because when you divide the fractions you get- 1/2 = 0.5, 3/4 = 0.75 And this makes it greater.
Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle
Answer:
≈23.66
Step-by-step explanation:
Height ---> x
base ---> 5x
Formula for area of triangle: (base*height)/2
((5x)(x))/2 = 1400
[tex]5x^{2}[/tex]/2 = 1400
[tex]5x^{2}[/tex] = 1400 · 2 = 2800
[tex]x^2[/tex] = 2800/5 = 560
x= √560 ≈ 23.66
Suppose the probability that a randomly selected man, aged 55 - 59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that a man in this age category does NOT die of cancer during the course of the year?
Answer:
The probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
Step-by-step explanation:
Suppose the probability of an event occurring is [tex]P_{i}[/tex].
The probability of the given event not taking place is known as the complement of that event.
The probability of the complement of the given event will be,
[tex]1 - P_{i}[/tex]
In this case an events X is defined as a man, aged 55 - 59, will die of cancer during the course of the year.
The probability of the random variable X is:
[tex]P (X) = \frac{300}{100000}=0.003[/tex]
Then the event of a man in this age category not dying of cancer during the course of the year will be complement of event X, denoted by X'.
The probability of the complement of event X will be:
[tex]P(X')=1-P(X)[/tex]
[tex]=1-0.003\\=0.997[/tex]
Thus, the probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
factor x^5y^2+x^2y^5
Answer:
x^2y^2(x+y)(x^2-xy+y^2)
Step-by-step explanation:
x^5y^2+x^2y^5
Factor out the greatest common factor
x^2y^2( x^3+y^3)
Apply the Sum of Cubes Formula x^3+y^3 =(x+y)(x^2-xy+y^2)
x^2y^2(x+y)(x^2-xy+y^2)
Answer:
The answer is
x²y²( x + y)(x² - xy + y²)Step-by-step explanation:
[tex] {x}^{5} {y}^{2} + {x}^{2} {y}^{5} [/tex]
To factorize the expression first factor
x²y² out
We have
x²y²( x³ + y³)
Using the expression
a³ + b³ = ( a + b)(a² - ab + b²)Factorize the terms in the bracket
So we have
x³ + y³ = ( x + y)(x² - xy + y²)
Combine the expressions
We have the final answer as
x²y²( x + y)(x² - xy + y²)Hope this helps you
Find the value.
6x+3 when x=-1/2
PLEASE HELP!!!
Answer:
0
Step-by-step explanation:
6(-0.5) + 3 = -3 + 3 = 0
Answer:
0
Step-by-step explanation:
x= - 1/2 [given]
Now,
> 6x + 3
>6 × - 1/2 + 3
> -6/2 +3
> -3/1 + 3
> -3 + 3
> 0
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
60
Step-by-step explanation:
Find the ratio of x to y. 2/3 4/9 1
Answer:
[tex]\frac{x}{y}[/tex] = [tex]\frac{4}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex]
This can be expressed in 2 parts as
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3x = 10 ( divide both sides by 3 )
x = [tex]\frac{10}{3}[/tex]
and
[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{y}[/tex] ( cross- multiply )
2y = 15 ( divide both sides by 2 )
y = [tex]\frac{15}{2}[/tex]
Thus
[tex]\frac{x}{y}[/tex] = [tex]\frac{\frac{10}{3} }{\frac{15}{2} }[/tex] = [tex]\frac{10}{3}[/tex] × [tex]\frac{2}{15}[/tex] ( cancel 10 and 15 by 5 )
[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{9}[/tex]
Answer:
= 4/9
Step-by-step explanation:
2/3 to the averall of 2/3 ans we got 5/y
sp ab- x/5 = 4/9
Can y’all solve this for me???
Answer:
1/4PI I GOT IT RIGHT ON KHAN ACADEMY
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Answer:
[tex]\boxed{\frac{1}{2}\pi}[/tex]
Step-by-step explanation:
Use length of arc formula.
[tex]\frac{\theta }{360} \times2 \pi r[/tex]
The radius is 1 unit.
θ = 90°
[tex]\frac{90}{360} \times 2\pi (1)[/tex]
[tex]\frac{1}{4} \times 2\pi[/tex]
[tex]\frac{1}{2} \times\pi[/tex]
The three angles of an isosceles triangle are, 2x+2, X-12 and x-12. Find the
size of 2x+2
the length of each side of the ABCD EFGH cube is 6cm. If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE, determine the distance of point E to the PQR plane
Answer:
The distance is: [tex]\sqrt3\ cm\approx1,73\,cm[/tex]
Step-by-step explanation:
The distance of point E to the PQR plane it is the hight (vertical) of piramid PRQE
If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE than:
EP = EQ = ER = 0.5EF = 3 cm and m∠REQ = m∠QEP = m∠REP = 90° so triangles RQE, QPE and PRE are congruent.
RQ = QP = PR so triangle PQR is equilateral and from Pythagorean theorem (for ΔRQE):
[tex]RQ^2=ER^2+EQ^2=3^2+3^2=2\cdot3^2\ \ \implies\ \ RQ=3\sqrt2[/tex]
Then: [tex]RN=\dfrac{RQ\,\sqrt3}2[/tex]
and: [tex]RK=\dfrac23RN=\dfrac{RQ\,\sqrt3}3=\dfrac{3\sqrt2\cdot\,\sqrt3}3=\sqrt6[/tex]
Therefore from Pythagorean theorem (for ΔERK):
[tex]EK^2+RK^2=ER^2\\\\EK^2=ER^2-RK^2\\\\EK^2=3^2-(\sqrt6)^2\\\\EK^2=9-6=3\\\\EK=\sqrt3\ cm\approx1,73\,cm[/tex]
