Answers
Step-by-step explanation:
Pythagoras theorem may be used :
as we can see pq iS perpendicular on oq
OQ²+pq² = op²
x² + (9)² = (3)²
x²+81= 9
x² = 81-9
x²= 72
x = √72
x = 8.48528137 ✓
Answer:
Step-by-step explanation:
OQ²+pq² = op²
x² + (9)² = (3+x)²
x²+81= 9+ 6x +[tex]x^{2}[/tex]
6x=72
x=12
Related Questions
An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.
Answers
Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
HELP!!!! calculate the difference and enter it below
-1 -7
Answers
Answer:
-8
Step-by-step explanation:
-8
Answer:
6.
Step-by-step explanation:
Difference between -1 and -7.
-1-(-7) = -1 + 7 = 6
two negative signs makes it a positive sign
What is the length of the unknown leg in the right triangle?
Answers
Answer:
3ft
Step-by-step explanation:
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?
Answers
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
[tex]-16t^{2} + 72t + 100 = 0[/tex]
Multiplying by (-1)
[tex]16t^{2} - 72t - 100 = 0[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]16t^{2} - 72t - 100 = 0[/tex]
So
[tex]a = 16, b = -72, c = -100[/tex]
[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]
[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]
[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
Directions: Solve each volume problem using the information given. Use 3.14 for pi and label your answer with the appropriate units.
1.) The school cheer leading team uses megaphones in their routines. Each megaphone is a cone. The radius of the megaphone is 5.1 inches and the height of the megaphone is 19.3 inches. What is the volume of the megaphone?
2.) You and your friends buy ice cream cones at the local ice cream shop. The radius of the ice cream cone is 44 millimeters and the volume of the ice cream cone is 356,456.2136 cubic millimeters. What is the height of the ice cream cone?
Answers
Answer:
A. 525.42 inches^3
B. 175.91 mm
Step-by-step explanation:
a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.
Mathematically, the volume of the cone can be calculated using the formula below;
V = 1/3 * π * r^2 * h
where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches
Plugging these values, we have;
V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3
b. Here we are tasked with calculating the height given the value of the volume and the radius.
mathematically, the formula to use is
V = 1/3 * π * r^2 * h
where V = 356,456.2136 cubic millimeter and r is 44mm
plugging these values we have
356,456.2136 = 1/3 * 3.14 * 44^2 * h
h =( 1,069,368.6408)/6,079.04
h = 175.91 mm
In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer:
4/24
Step-by-step explanation:
Answer:
4/24
Step-by-step explanation:
if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is not prime
Answers
Answer:
Step-by-step explanation:
prime: 3 5 7 11 13
P(notprime) = (12-5)/ 12 = 7/12
Select ALL equations that have a solution of 6.
A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18
Answers
What is the answer to this problem:)
Answers
Answer: The answer is A. It is located at -25 and is to the right of point A on the number line.
Step-by-step explanation:
On a number line, the number ZERO is in the middle. The positive numbers increase to the right meanwhile the negative numbers increase to the left.
A code consists of two digit numbers chosen from 00-99 (i.E 00, 01, 02…..99) followed by two different letters of the alphabet. What is the probability that the code is 43MZ?
Answers
Answer: 1/67600
Step-by-step explanation:
probability that the code is 43MZ:
Probability = (Total Required outcome / total possible outcomes)
Possible outcomes (digit) = (00,.............. ..., 99)
2.) possible outcomes (alphabet) = (A, B,............... .., Z)
P(43MZ) = P(43) × P(M) × P(Z)
P(43) = 1/100
P(M) = 1/26
P(Z) = 1/26
THEREFORE ;
P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600
please factorise this question and show the entire process.
Answers
Answer:
3(x^4+324y^4)
Step-by-step explanation:
You can take out a 3 since 972 and 3 are both divisible by 3.
Therefore, 3(x^4+324y^4)
I hope this helped and have a good rest of your day!
Here, just we have take common of them.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.
Answers
Answer:
see below
Step-by-step explanation:
8.
We have to use the law of cosines to find AB
c^2 = a^2 + b^2 − 2ab cos(C)
AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)
AB^2 =196 +576 - 672 cos(91)
AB^2 =783.7280171
Taking the square root of each side
AB =27.99514
Rounding to the nearest tenth
AB = 28
(If the lengths are supposed to have the variable A)
AB = 28A
9.
Using the law of sines
sin 84 sin A
-------------- = -------------
22 9
Using cross products
9 sin 84 = 22 sin A
Divide each side by 22
9 sin 84 /22 = sin A
.406849866 = sin A
Taking the inverse sin of each side
24.00710132 = A
To the nearest tenth
A = 24
Answer:
AB = 28 ft; m<A = 24 deg
Step-by-step explanation:
8.
Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]
[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]
[tex] c = \sqrt{783.73~ft^2} [/tex]
[tex] c = 27.995~ft [/tex]
AB = c = 28 ft
9.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = 0.40685 [/tex]
[tex] A = \sin^{-1} 0.40685 [/tex]
[tex] A = 24^\circ [/tex]
use the following function rule to find
f(1)
f(x)=(2)^x+8
f(1)=?
Answers
Answer:
Step-by-step explanation:
The expression f(x) means that the function y is in terms of x; that is to say that x is the independent variable that will change, as it changes, y changes along with it. Replacing x with what we want to evaluate the function at is how we solve this. If we replace x with a 1, our function is:
[tex]f(1)=2^1+8[/tex]
2 to the 1st power is 2, and add 8 to that and you get that
f(1) = 10
Answer:
its 16
Step-by-step explanation:
One-third of Lexie's age is 4
years more than one-fifth of this
age. Lexie's sister is 5 years
younger than her. How is is Lexie's
sister?
Answers
Answer:
7/15
Step-by-step explanation:
what’s the answer for this question
Answers
Answer:
360cm 2
Step-by-step explanation:
18×20=360
a=l×w
Answer: The answer is 360cm²
Step-by-step explanation: 20×18=360cm²
What is the least common denominator of 2/3 and 7/9
Answers
Answer:
9
Step-by-step explanation:
2/3 = 2/3 × 3/3 = 6/9
7/9 = 7/9 × 1/1 = 7/9
Kavitha is going to spin the following spinner 200 times. The spinner is divided into equal sections:
mouse
mouse
monkey
monkey
elephant
What is the best prediction for the number of times the spinner will land on the elephant?
Answers
Answer:
Option (D) Close to 40 times but probably not exactly 40 times.
Answer:
D
Step-by-step explanation:
Khan
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover. 5 liters of paint can cover a wall with an area of 75 square feet.
Answers
Question Completion
a) Find the constant of proportionality.
b) Write an equation relating V and A.
c) How much paint would be needed to cover an area of 180 square feet? Answer:
[tex](a)k=\frac{1}{15} \\\\(b)V=\frac{1}{15}A[/tex]
(c)12 Liters
Step-by-step explanation:
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.
This is written as:
[tex]V \propto A\\V=kA,$ where k is the constant of proportionality[/tex]
(a)5 liters of paint can cover a wall with an area of 75 square feet.
V=5 liters, A=75 square feet.
Substitution into V=kA
5=75k
k=5/75
[tex]\text{Constant of proportionality, k}=\dfrac{1}{15}[/tex]
(b)Substitution of [tex]k=\dfrac{1}{15}[/tex] into V=kA
The equation relating V and A is:
[tex]V=\frac{1}{15}A[/tex]
(c)If A=180 Square feet
Volume of paint needed,
[tex]V=\frac{1}{15} X 180\\=12$ liters[/tex]
1. Si tengo el siguiente ejercicio x = 8+9*4+(32*2+5*4)+3*6 aplicando la jerarquía de operaciones, el resultado sería? a. 25 b. 45 c. 78 d. Ninguna de las anteriores
Answers
Answer:
Option D is correct.
The answer is none of the above.
x = 146
La opción D es correcta.
La respuesta es ninguna de las anteriores.
x = 146
Step-by-step explanation:
English Translation
If I have the following exercise x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6 applying the hierarchy of operations, the result would be?
a. 25
b. 45
c. 78
d. None of the above
Solution
The hierarchy of operations includes BODMAS.
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Solving the bracket first.
The multiplication in the bracket are first simplified to give
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Then further simplifying the bracket
x = 8 + 9 * 4 + (84) + 3 * 6
We then solve the multiplication outside the brackets
x = 8 + 36 + 84 + 18
We now sum all of this
x = 146
In Spanish/En Español
La jerarquía de operaciones incluye BODMAS.
B - Soportes
O - Orden
D - División
M - Multiplicación
A - Suma
S - Resta
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Resolver el soporte primero.
La multiplicación en el paréntesis se simplifica primero para dar
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Luego simplificando aún más el soporte
x = 8 + 9 * 4 + (84) + 3 * 6
Luego resolvemos la multiplicación fuera de los corchetes
x = 8 + 36 + 84 + 18
Ahora sumamos todo esto
x = 146
Hope this Helps!!!
¡¡¡Espero que esto ayude!!!
A circle has a diameter that measures
8 inches. What is the area of the circle to the nearest tenth? Use 3.14 for pi.
Answers
Answer:
50.24inches
Step-by-step explanation:
Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)
Which student wrote an equation with a solution of x = -8
Jenna: -3 ( x - 9 ) = -3
Archer: 4 ( 2x - 16 ) = 16
both
neither
jenna
archer
Answers
Answer:
Neither
Step-by-step explanation:
Both equations are x=10
Which rule describes the relationship between the x- and y- coordinates on line m?
Choose one answer:
A) y = x + 1
B) y = 2x + 1
Answers
Answer: My bad I don’t know how to teach it but it’s B
Freemont Run Club surveyed a random sample of 30 members about their running habit. Of the members surveyed, 9 said that they run more than 5 days a week. There are 84 Freemont Run Club members.
What is the most reasonable estimate for the number of Freemont Members who run more than 5 days a week
Answers
Answer:
i think its 420
Step-by-step explanation:
Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
Answers
Answer:
2(2x+19) would be your answer
Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?
Answers
The complete question is;
Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?
Answer:
The best estimate of the number of songs that Marquis purchased = 35 songs
Step-by-step explanation:
First of all, let's make x the subject of the linear regression equation.
We are given that,
y = 1.245x - 3.685
So,
1.245x = (y + 3.685)
x = (y + 3,685) / (1,245)
We are told that Marquis spent $40 on songs.
Thus;
Substituting the value of $40 for y into the equation to get;
x = (40 +3,685)/(1,245)
x = 35.09
x ≈ 35
Thus, the best estimate of the number of songs that Marquis purchased is 35
Answer:
the number of songs that Marquis purchased is 35
Which function represents the graph of y=x^2 after it has been translated 4 units to the left?
options:
y=(x-4)^2 or y=(x+4)^2
Answers
Answer:
oh.. maybe you can install photomath
Answer:
y=(x+4)^2
Step-by-step explanation:
A trick I use is if it is a plus sign then it goes left, if it is a minus sign then it goes right.
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade?
Answers
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
Please help me I’m about to cry
Answers
Answer:
LKH and JKM
Step-by-step explanation:
Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)
Answer: it is angle LKH and angle JKM
Step-by-step explanation:
Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!
Pretty easy question in physics but no one answers them in that subject so I put it here
Answers
Answer:
Wind and biofuel
Step-by-step explanation:
The other are all nonrenewable.
Hope this helps. Also will you friend me so I know if you need any more help I can help you.
The slope of a line is 2. The y-intercept of the line is -6 Which statements accurately describe how to graph the function?
Locate the ordered pair (0-6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Draw a line through the two points.
Locate the ordered pair (0-6). From that point on the graph, move up 2left 1 to locate the next ordered pair on the line
Draw a line through the two points.
Locate the ordered pair (-60). From that point on the graph, move up 2, right 2 to locate the next ordered pair on the line.
Draw a line through the nivo points.
Locate the ordered pair (-60). From that point on the graph, move up 2. left 1 to locate the next ordered pair on the line.
Draw a line through the two points,
Mark this and retum
Save and Exit
Subemt
Answers
Answer: A
Step-by-step explanation:
We know the y intercept is -6 so the first point will be (0,-6) and we also know that the slope is 2/1 so after plotting (0.-6) you will have to go up by two and 1 unit to the right.
Answer:
The answer is A!
Step-by-step explanation:
I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)
