What is the missing reason for the 5th step in the proof below?
A: Substitution
B: Simplification of equation from previous step
C: Definition of linear pair
D: Definition of complementary angles
Answer: B
Step-by-step explanation:
A group of friends paid a total of 50.24 for tickets to the museum each friend pay the same amount for a ticket how much did each friend pay for a ticket to the museum
Answer:
50.24 ÷ number of people
Step-by-step explanation:
When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!
John bought a quart of ice-cream for $4.80. How much does the ice-cream cost per cup? 1 guart = 4 cups
Answer:
each cup is $1.20 each
Step-by-step explanation:
hope this helps
bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil
x : y : z = 2 : 3 : 5 và x-y+3z= -28
Answer:
2 - 3 + 15 = 14
Step-by-step explanation:
How much would you need to deposit in an account now in order to have $3000 in the account in 10 years? Assume the account earns 4% simple interest. Round your answer to the nearest cent.
50,000
hope it helps you
Solve for x
(8x-29)+(3x-1)+(6x-11)=180
Answer:
x= 13
Step-by-step explanation:
can i please get branlist? if not thats okay.
Solve.
2(y + 7) = 28
Answer:
Answer:
y=7
Step-by-step explanation:
A sports marketing company interviewed 250 Supersport United fans and has found that the average fan spends R101 on non-ticket purchases at the stadium when he/she attends a home match. This includes money spent on food, drinks and merchandise. Assume that the standard deviation is R39.
Find the lower and upper limits for the average amount spent on non-ticket purchases per match by Supersport United fans. Use a confidence level of 90%. Round off your answers to 2 decimal places (4)
The 90% confidence interval is between R96.94 and R105.06
The confidence (C) = 90% = 0.9, Mean (μ) = 101, standard deviation (σ) = 39, sample size (n) = 250
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 corresponds with the z score of 0.45 (0.5 - 0.05) which is equal to 1.645
The margin of error (E) is given by:
[tex]E=Z_\frac{\alpha }{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.645 *\frac{39}{\sqrt{250} } =4.06[/tex]
The confidence interval = μ ± E = 101 ± 4.06 = (96.94, 105.06)
Therefore the 90% confidence interval is between R96.94 and R105.06
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For a quadrilateral ABCD inscribed in a circle of radius 1, let AB : AD = 1 : 2 and ∠BAD = 120°. Also, when the point of intersection of diagonals BD and AC is denoted by E, let BE : ED = 3 : 4. Please find the area of triangle ABD and triangle BCD. (Show work)
The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD = y * √(5x² + 4y² - 2xy√5)
To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height
In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.
Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:
BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)
BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)
Simplifying the equation:
BD² = x² + 4x² - 4x² * (-1/2)
BD² = 5x²
Taking the square root of both sides:
BD = √(5x²) = x√5
Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.
Now, we can find the length of side BC. In triangle BCD, we have:
BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)
BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)
BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)
Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.
BC² = 5x² + 4y² - 4xy√5 * cos(60°)
BC² = 5x² + 4y² - 4xy√5 * (1/2)
BC² = 5x² + 4y² - 2xy√5
The area of triangle ABD is given by:
Area ABD = (1/2) * AB * AD * sin(∠BAD)
Area ABD = (1/2) * x * 2x * sin(120°)
Area ABD = x² * √3 / 2
The area of triangle BCD is given by:
Area BCD = (1/2) * BC * CD * sin(∠BCD)
Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)
Area BCD = y * √(5x² + 4y² - 2xy√5)
Further calculations require numerical values for x and y to obtain specific areas.
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berapakah hasil dari 33 1/2 - 7 x 8 + 2 - 5,5 adalah, mohon bantuan nya kakak
Saya yakin jawabannya adalah -26 karena ketika Anda melakukan perkalian terlebih dahulu, kemudian lakukan pecahan 33 1/2 dan setelah itu Anda akan menambahkan 2 dan pengurangan 5,5 yang semuanya akan sama dengan -26. semoga saya benar dan ini membantu. (:
round 0.25 to the nearest hundredth
Answer:
0.25
Step-by-step explanation:
there is no hundredth in 0.25
Rounding 0.25 to the nearest hundredth gives us 0.26.
We must look at the digit in the thousandth place, which is the following decimal place after the hundredth place, in order to round 0.25 to the closest hundredth.
We round up the digit in the hundredth place by adding 1 since the digit in the thousandth place is 5, which is equal to or larger than 5.
Thus, 0.26 is obtained by rounding 0.25 to the next tenth.
0.25 (initial number) worked
(Number in the thousandth place) (Number in the hundredth position)
We round up the digit in the hundredth place since the digit in the thousandth place is 5, which is 5.
Hence rounding to the nearest hundredth, 0.25 equals 0.26.
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What is the quotient in the simplest form ? 3/5 divided by 2/7
In any collision, an object experiences a force for a given amount of time that results in its mass undergoing a change in velocity. There are four quantities mentioned here: force, time, mass, and change in velocity. The force multiplied by the time (FX t) is known as the impulse and the mass multiplied by the velocity change (m X AV) is known as the change in momentum. The impulse experienced by an object is always equal to the change in its momentum. As a result: FXt = m X AV Mass does not change. Velocity decreases during a collision. Automobile manufacturers, such as Nissan and Toyota, incorporate safety features into their vehicles. Crumple zones in the engine compartment and air bags are two examples of safety technology designed to protect driver and passengers involved in a collision. How do these design features impact the formula above and the force of impact? They decrease the force of impact by providing a cushion during the impact.
How to calculate force?
.Inorder to calculate force we will use Newton's second law of motion.
[tex]\\ \sf\longmapsto Force=Mass\times Acceleration [/tex]
[tex]\\ \sf\longmapsto F=ma[/tex]
Here we can observe
[tex]\\ \sf\longmapsto F\propto a[/tex]
[tex]\\ \sf\longmapsto F\propto m[/tex]
2b with a exponent of 3 +5
Answer:
2b[tex]^{8}[/tex]
Grace sold 4062 ml of fruit juice in January.
She sold 1053 ml less fruit juice in January than in February.
How much fruit juice did Grace sell in February?
Leave your answer in litres and millilitres.
Answer:
she sold 5,115 ml of fruit juice and in liters is 5.115 liters
Last month, 3,477 people visited the zoo. This month, 2,941 people visited the zoo.
How many more people visited the zoo last month than visited this month?
Answer:
536 people
Step-by-step explanation:
3477-2941=536
Answer:
536 more visitors visited the zoo last month this month.
Step-by-step explanation:
just subtract
I Will give brainliest please help,
the choices here are just true or false
9514 1404 393
Answer:
TrueTrueFalseStep-by-step explanation:
Your calculator can answer these easily.
The first two are True; the last one is False.
find the force needed to lift 3000n weight using a machine with a mechanical of 15
Answer:
20N
Step-by-step explanation:
Force=3000N/15
F=600/3
F=20N
12a
A boy is standing on the very edge of a cliff that is 58.8 m high. The boy throws a rock straight up in the air at 7.36 m/s. (a) What is the rock's velocity when it hits the ground? (use up as the positive direction)
How long (from the time it was thrown) will it take for the rock to hit the ground?
What is the total distance traveled by the rock?
Answer:
The exact same from when it went up
Step-by-step explanation:
it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head
What is the value of x and y? Question 6 options: x = 40 , y = 40 x = 8, y = 20 x = 8 , y = 40 x = 40, y = 20
Answer:
the triangle is isosceles triangle. so, the two angles of the same side are equal.
(5x)°=40°
x = 40/5
x = 8
40° +40°+(2y+20)°=180°
80 + 2y +20 =180°
100° +2y =180°
180°-100°=2y
80° = 2y
80°/2= y
40 = y
need help asap on 9, 10,and 11
Step-by-step explanation:
9. a)
2•(-2) = 2 - 6
-4 = -4
-2 -2 = -2•2
-4 = -4
Yes, the ordered pair is the solution
9. b)
-1 = 3•(-2) +5
-1 = -6 +5
-1 = -1
3•(-2) +(-1) = -2
-6 -1 = -2
-7 ≠ -2
No, the ordered pair is not the solution
10. (-1, -1) and (3, -1)
11.
y = 6 +x
Now substitute it in the first equation:
3•(6 +x) = 5x
18 + 3x = 5x
18 = 2x
x = 18/2
x = 9
Now, substitute x = 9 in the second equation:
y -9 = 6
y = 6 +9
y = 15
9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
25
O
IT square units
O 10 square units
O 255 square units
O 57 square units
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.
What is Distance Formula?If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are
PQ = √(c- a)² + (d-b)²
We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).
Now, using Distance Formula
d= √{(x2 - x1)² + (y2 - y1)²}
Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5
d = √{(5 - 2)² + (5 - 1)²}
d = √{(3)² + (4)²}
d = √{9 + 16}
d = √25
d = 5 unit
Now, Area of Circle
= πr²
= 3.14 x 2.5 x 2.5
= 6.25π sq units
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Find the sine ratio of angle O. Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces. (4 points)
Hello,
Correct Answer is 12/3
Step-by-step explanation:-For angle theta, perpendicular side is AB=12 and hypotenuse side is BC=13.
The sine of angle is equal to the ratio of perpendicular side to the hypotenuse side. So, sine of angle theta is:-
[tex]sin \: θ = \frac{12}{3} [/tex]
So, sine ratio angle is 12/3.
{ Note: Here, the ratio is written using slash (/) symbol as it is asked to use the slash symbol in the answer. }
✍️ By Benjemin ☺️
Value Rent a car rents a luxury car at a daily rate of $38.51 plus 50 cents per mile. A business person is allotted $90 for car rental each day. How many miles can the business person travel on the 90$
102 miles
90-38.51 = 51.49 dollars left over
51.49/.5 = just over 102 miles
please help me with this sum
Answer:
Step-by-step explanation:
n;
Convection; Radiation; Insulation.
PLTS/Gatsby:
Effective participants;
Independent Enquirers.
Compare group 1, 7 and 8 elements.
The BIG question
is… What is the trend in reactivity in the alkali metals, halogens and noble gases
sSHUTSHHHHHHHHHHHHHHUTUPPPPPPPPPPPPP
Answer:
153, 155, 93, 31, 78, 125, 150, 87, 157, 118, 67
PLEASEEEEEEE HELLPPPPP
Answer:
a) 3.5metres
b) 34metres
The following are data on number of policemen and number of crimes. Find out if there is a correlation between these two variables. NumPolice NumCrimes 15 17 17 19 25 16 27 20 17 12 12 15 12 11 22 27 Using the test of correlation, What is the correct interpretation of the correlation coefficient in this example?
a. The interpretation would be there is a moderate positive correlation between number of policemen on duty and number of crimes
b. The interpretation would be there is a strong negative correlation between number of policemen on duty and number of crimes
c. The interpretation would be that TNOETS that there is a correlation between number of policemen on duty and number of crimes.
d. The interpretation would be that there is a strong positive correlation between number of policemen on duty and number of crimes
Hello can some one please help me
Answer:
1
Step-by-step explanation:
This one once learned is clapz. Anything to the zero power is 1. ;)
An instrumental track has 17 beats in 14 seconds. What is its tempo in terms of beats per minute (BPM)?
Answer:
17x14=378Step-by-step explanation:
all you have to do is multiply 17 * 14 and that's how you got your answer