Answer:
620
Step-by-step explanation:
MATH
What polygon has 6 sides and 6 angles?
Answer:
hexagon
Step-by-step explanation:
A sprinkler on a golf course is set to spray water over a distance of 75 feet and rotates through an angle of 135 degrees. Find the area of the fairway watered by the sprinkler
Answer:
6623.4375 feet²
Step-by-step explanation:
Distance is the radius
Area:
(135/360) × pi × r²
(135/360) × 3.14 × 75²
6623.4375 feet²
The area of the fairway watered by the sprinkler is 6,623.44 square feet
The shape of the golf course is a sector, Using the formula for calculating the area of a sector is expressed as:
[tex]A = \frac{\theta}{360} \times \pi r^2[/tex]
r is the radius = 75 feet[tex]\theta[/tex] is the angle subtended = [tex]135^0[/tex]Substitute the given parameters into the formula to have:
[tex]A=\frac{135}{360} \times 3.14 \times 75^2 \\A = \frac{2,384,437.5}{360}\\A= 6,623.4375ft^2[/tex]
Hence the area of the fairway watered by the sprinkler is 6,623.44 square feet
Learn more on area of a sector here: https://brainly.com/question/12792310
A baseball player's batting average is found by dividing the number of hits by the number of at-bats and rounding the result to the nearest thousandth. If James had 55 hits and 138 at bats, what was his batting average?
Answer:
The answer is 0.399.
Step-by-step explanation:
The formula would be hits/at-bats. Hits = 55, and at-bats = 138. Rounded to the nearest thousandth, 55/138 is 0.399.
The area of a trapezium is 31.3cm if the parallel sides are of length 7.3cm and 5.3cm, calculate the perpendicular distance between them
Answer:
4.968 cm
Step-by-step explanation:
Given area of prism = 31.3 cm
This problem can be solved by using formula to calculate area of trapezium which is given below
Formula to calculate area of prism =( sum of parallel sides * perpendicular distance between parallel side )/2
let the perpendicular distance between parallel side = X
sum of parallel sides = 7.3+5.3 = 12.6 cm
Therefore by using formula
31.3 = (7.3+5.3)*X/2
=> 31.3 * 2 = 12.6*X
=> X = 62.6/12.6 = 4.968
Hence perpendicular distance between parallel side is 4.968 cm
Help look at picture!
Answer:
Step 1: Set x to 0
[tex]-2(0) + y = 3[/tex]
[tex]y = 3[/tex]
(0, 3)
Step 2: Set x to 1
[tex]-2(1) + y = 3[/tex]
[tex]-2 + y + 2 = 3 + 2[/tex]
[tex]y = 5[/tex]
(1, 5)
Step 3: Set x to 2
[tex]-2(2) + y = 3[/tex]
[tex]-4 + y + 4 = 3 + 4[/tex]
[tex]y = 7[/tex]
(2, 7)
Step 4: Set x to 3
[tex]-2(3) + y = 3[/tex]
[tex]-6 + y + 6 = 3 + 6[/tex]
[tex]y = 9[/tex]
(3, 9)
Step 1: Set x to 0
-2(0) + y = 3
y = 3
(0, 3)
Step 2: Set x to 1
-2(1) + y = 3
-2 + y + 2 = 3 + 2
y = 5
(1, 5)
Step 3: Set x to 2
-2(2) + y = 3
-4 + y + 4 = 3 + 4
y = 7
(2, 7)
Step 4: Set x to 3
-2(3) + y = 3
-6 + y + 6 = 3 + 6
y = 9
(3, 9)
Hope this helped you a lot !!!!!!!Suponiendo que el movimiento de un cuerpo se interpreta según la ecuación:
Y=3t²-2 determina la velocidad media considerando los 5 primeros segundos de caida
Answer:
Average speed = 15
Step-by-step explanation:
To find the speed of the body, we can take the position equation and take the derivative in relation to time:
Speed = dY/dt = 2*3*t = 6t
Then, we need to find the speed at t=0 and the speed at t=5:
Speed(t=0) = 6*0 = 0
Speed(t=5) = 6*5 = 30
Now, we just need to make the average of both speeds:
Average = (0 + 30) / 2 = 15
What is the point-slope of a line that has a slope of -4 and passes through point(-3, 1)?
Answer:
y -1 = -4(x +3)
Step-by-step explanation:
The point slope form of a line is given by
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -1 = -4(x --3)
y -1 = -4(x +3)
0.1 0.2 0.3 0.4 0.5 0.6 0.7
Which data value would be considered the outlier?
(0.1 has 1 dot, 0.5 has 2 dots, 0.6 has 4 dots, and 0.7 has 1 dot
Find the distance between the two points rounding to the nearest tenth if necessary (-1,4) and (4,-8)
Answer:
13 units
Step-by-step explanation:
[tex]\sqrt{(4--1)^{2}+(-8-4)^{2} }[/tex]
=[tex]\sqrt{5^{2}+(-12)^{2} }[/tex]
=[tex]\sqrt{25 + 144}[/tex]
=[tex]\sqrt{169}[/tex]
=13 units
Final answer:
To find the distance between the two points (-1,4) and (4,-8) using the Pythagorean Theorem, the distance is 13 units.
Explanation:
Use the Pythagorean Theorem to find the distance squared:
Given points (-1,4) and (4,-8):
d² = (4 - (-1))²+(-8 - 4)²
d² = 5² + (-12)² = 25 + 144 = 169
Calculate the distance:
d = √169 = 13
The equation x^2 + 10x = 14 has been rewritten in the form (x + p)^2= q . What is the
value of q?
Answer:
q = 39
Step-by-step explanation:
[tex] {x}^{2} + 10x = 14 \\ {x}^{2} + 2.5.x = 14 \\ {x}^{2} + 10x + {5}^{2} = 14 + {5}^{2} \\ (x + 5)^{2} = 14 + 25 \\ {(x + 5)}^{2} = 39 \\ equating \: it \: with \\ (x + p) ^{2} = q \\ we \: find : \\ \huge \red{ \boxed{q = 39}}[/tex]
What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. (4 points) Group of answer choices 7.81 8.17 8.58 10.4
Answer:
The answer should be 7.81
Step-by-step explanation:
What is the length of each side ?
Answer:
36.3
Step-by-step explanation:
145.2/4 = length of each side
145.2/4 = 36.3
Part 1:
Zoe wants to put a pool in her backyard. Her backyard is big enough to have a pool whose base
has an area of 48 ft.? What could the possible dimensions for Zoe's pool be?
(List ALL possible combinations!
Answer:
1 × 48
2 × 24
3 × 16
4 × 12
6 × 8
Step-by-step explanation:
Please kindly see the attached for details
PLEASE ANSWER! IT'S SOO HARD FOR ME!!
a. Surya is competing in a triathlon that includes swimming, bicycling and running. For the first two segments of the race, Surya swam at an average rate of 4 kilometers per hour and bicycled at an average rate of 40 kilometers per hour. It took 81.75 minutes for Surya to swim and cycle a combined total of 43.29 kilometers, completing the first two segments of the race. How long, in minutes, did it take him to complete the swimming portion of the race? Express your answer to the nearest hundredth.
b. If an athlete who completes this triathlon swims, bicycles and runs a combined total of 52.95 kilometers, the distance the athlete swam is what percent of the total race distance? Express your answer as a percent to the nearest hundredth.
c. At what average rate, in kilometers per hour, must Surya run the third, and final, portion of the race if he wishes to complete the entire race in no more than 140 minutes? Express your answer to the nearest hundredth.
a) 18.68 minutes
b) 2.34%
c) 9.96 km/h
Step-by-step explanation:
a)
The velocity of Surya in the 1st segment (swimming part) is
[tex]v_1=4 km/h[/tex]
So, the distance covered by Surya in the swimming part is
[tex]d_1=4t_1[/tex]
where [tex]t_1[/tex] is the time taken to cover this part.
The velocity of Surya in the 2nd segment (biking part) is
[tex]v_2=40 km/h[/tex]
So the distance covered in the biking part is
[tex]d_2=40t_2[/tex]
where [tex]t_2[/tex] is the time taken to cover this part.
We know that the total distance covered in these 2 segments is
[tex]d=d_1+d_2=43.29[/tex]
So it can be rewritten as
[tex]4t1+40t_2=43.29[/tex] (1)
The total time taken to cover these two parts is
[tex]t=t_1+t_2=81.75 min =1.36 h[/tex]
So we have
[tex]t_2=1.36-t_1[/tex]
And substituting in (1) we can find t1:
[tex]4t_1 + 40(1.36-t_1)=43.29\\36t_1=11.21\\t_1=\frac{11.21}{36}=0.31 h = 18.68 min[/tex]
b)
The total distance covered in all 3 segments is
[tex]d=d_1+d_2+d_3=52.95 km[/tex]
where
where
d1 is the length of the swimming part
d2 is the length of the biking part
d3 is the length of the running part
We know that the distance covered in part 1 (swimming part) is
[tex]d_1=v_1 t_1 = (4)(0.31)=1.24 km[/tex]
Therefore we can find the percent that the swimming part correspond to the total race as:
[tex]\frac{d_1}{d}=\frac{1.24}{52.95}=0.0234 = 2.34\%[/tex]
c)
Here the total time taken by Surya for the race must be
[tex]t=140 min = 2.33 h[/tex]
And this is the sum of the times of the 3 segments:
[tex]t=t_1+t_2+t_3[/tex]
where
t1 is the time taken to complete the swimming part
t2 is the time taken to complete the biking part
t3 is the time taken to complete the running part
We know already that
[tex]t_1=0.31 h[/tex]
and
[tex]t_2=1.36-t_1=1.36-0.31=1.05 h[/tex]
So the time for the 3rd section must be
[tex]t_3=t-t_1-t_2=2.33-0.31-1.05=0.97h[/tex]
The distance to cover in the last part is
[tex]d_3=d-d_1-d_2=52.95-43.29=9.66 km[/tex]
So the average velocity of the last segment must be:
[tex]v_3=\frac{d_3}{t_3}=\frac{9.66}{0.97}=9.96 km/h[/tex]
Jim mails one package that weighs 3/8 pound and another that weighs 2/3 pound. What is the total
weight of both packages?
Answer:
25/24 pounds
Step-by-step explanation:
If we want to find the total weight, we should add the weights together
3/8+2/3
To add, we need a common denominator
The least common denominator of 8 and 3 is 24
To get a denominator of 24, multiply 3/8 by 3/3, and 2/3 by 8/8
3/8*3/3=9/24
2/3*8/8=16/24
Now, we have a common denominator and can add
9/24+16/24
Add the numerators, and leave the denominator as 24
25/24=1 1/24= 1.04166666
The total weight for both packages is 25/24 pounds
To get the total weight of the packages, add the weights together. Package 1 weighs 3/8 pound and package 2 weighs 2/3 pound. Use a common denominator to add the fractions and get the total weight of 25/24 pound.
Explanation:To find the total weight of both packages, you need to add the weights of the two packages together.
Package 1 weighs 3/8 pound and package 2 weighs 2/3 pound.
To add the fractions, you need a common denominator. The least common denominator for 8 and 3 is 24. So, multiply the numerator and denominator of 3/8 by 3, and the numerator and denominator of 2/3 by 8.
This gives you (3 * 3) / (8 * 3) + (2 * 8) / (3 * 8) = 9/24 + 16/24 = 25/24 pound.
Therefore, the total weight of both packages is 25/24 pound.
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#SPJ2
Every person has blood type 0, A, B, or AB. A random
group of people are blood-typed, and the results are
shown in the table.
U se the table to determine the followmy prowa ---
The probability that a randomly chosen person from this
group has type B is
The probability that a randomly chosen person from this
group has type AB is
The probability that a randomly chosen person from this
group has type B or type AB blood is
Blood Type
Number of People
No 8 IN
Ae
Intro
Done
Answer:
type b= 3/25
type ab= 1/25
b or ab= 4/25
Step-by-step explanation:
Triangle ABC has a perimeter of 22cm
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Please help
Answer:
No
Step-by-step explanation:
8²+5²=89
√89
=9.43
=9.43+8+5
=22.43 cm
Answer:
No
Step-by-step explanation:
The side lengths of the triangle are 5-8-9
For the triangle to be a right triangle the square length of base and side length should be equal to square length of the hypotenuse
let's check if this triangle have criteria for a right triangle
5^2 + 8^2 = 25 + 64 and that is equal to 89
9^2 = 81
89 is not equal to 81 so this is not a right angled triangle.
10. The ages of participants in a relay race are 12.15, 14, 13, 15, 12, 22. 16, and
Identify the outlier in the data set. Determine how the outlier affects the
mean, median, and mode of the data. Then tell which measure of center best
describes the data with and without the outlier.
Please help with number 10 !!!!!! 40 points
Answer:
mean id 45.6
we get it by adding then subtracting
The range of F(x) = logbx is the set of all positive real numbers.
O A. True
O B. False
The statement about the range of the logarithmic function F(x) = log_bx being positive real numbers is false; the range includes all real numbers.
The statement that the range of F(x) = logbx is the set of all positive real numbers is False. The range of a logarithmic function like F(x) = logbx, where b is the base and x is the argument, is actually all real numbers, not just the positive ones. This is because you can take the log of any positive number, but the result can be any real number, negative, positive, or zero (when x=1).
For example, if the base b is greater than 1, as x approaches zero from the positive side, logbx will approach negative infinity, illustrating how the range includes negative numbers.
I REALLY NEED HELP! Find the measure of each angle in triangle ABC.
7x + (7x + 1) + (8x + 3) = 180
What is the value of x?
x =
What is the measure of angle A?
m∠A = °
What is the measure of angle B?
m∠B = °
What is the measure of angle C?
m∠C = °
PICTURES HELP A LOT
Answer:
x=8
m<A=67
m<B=56
m<C=57
Step-by-step explanation:
Answer:
x=8
m<a=67
m<b=56
m<c=57
Step-by-step explanation:
−15 ÷ 5 = A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.
Emily used the number line to find the quotient for 15 ÷ 5. What errors did she make? Check all that apply.
A. The arrows should point in the negative direction.
B. The small arrows should end in the same place as the large one.
C. The arrows should end on negative 15.
E. The arrows should start at zero.
F. There should be 5 small arrows.
Answer:
-3
Step-by-step explanation:
-15 divided by 5= -3
Answer:
The answers are options A, C, and D
Step-by-step explanation:
A gift box is 12 inches long, 8 inches wide, and 4 inches tall. What is the volume of the gift box?
Answer: 384
Step-by-step explanation: 12x8x4=384
Answer:
V =384 inches^3
Step-by-step explanation:
The volume of a box is given by
V = l*w*h
V = 12*8*4
V =384 inches^3
The price of an item has risen to $91 today. Yesterday it was $65. Find the percentage increase.
Answer: 28.6%
Step-by-step explanation:
Price yesterday was $65
Price today is $91
To get the increase
You subtract yesterday price from today price
Increase= $91-$65
Increase = $26
To get the percentage increase,
= increase/new price ×100
=26/91×100
=28.6%
Percentage increase = 28.6%
. A car of mass 100 Kg moving at 10 m/s collides with a truck of mass 1000 Kg moving at 5 m/s from behind. What will happen to the motion if the two objects get tangled after collision? This type of collision is called “inelastic” collision.
9514 1404 393
Answer:
the joined objects will have a speed of 5 5/11 m/s
Step-by-step explanation:
The momentum will be the same before and after the collision.
Before
(100 kg)(10 m/s) = 1000 kg·m/s . . . car's momentum
(1000 kg)(5 m/s) = 5000 kg·m/s . . . truck's momentum
Since the velocities are in the same direction, the total momentum is the sum of these:
1000 +5000 = 6000 . . . kg·m/s
__
After
The momentum is the same, and the total mass is 100 kg+1000 kg = 1100 kg. Then the velocity (v) is ...
(1100 kg)(v) = 6000 kg·m/s
v = 6000/1100 m/s = 5 5/11 m/s
The collision will cause the tangled objects to continue moving forward, but at a speed of 5 5/11 m/s.
The measures of the angles in A ABC are given by the expressions in the table
Angle
Measure
(3x - 10)
(2x)
Find the value of x. Then find the mZB and mZC
Enter your answers in the boxes.
mZB=
0
mZC=
Answer:
3x
Step-by-step explanation:
Using the triangle sum theorem the following are the missing values:
x = 25
m∠B = 65°
m∠C = 50°
What is the Triangle Sum Theorem?According to the triangle sum theory, all the interior angles of a triangle will add up to 180 degrees.
Given:
m∠A = 65°
m∠B = (3x - 10)°
m∠C = (2x)°
Therefore:
65 + 3x - 10 + 2x = 180
Combine like terms
55 + 5x = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25
m∠B = (3x - 10)° = 3(25) - 10 = 65°
m∠C = (2x)° = 2(25) = 50°
Therefore, using the triangle sum theorem the following are the missing values:
x = 25
m∠B = 65°
m∠C = 50°
Learn more about triangle sum theorem on:
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What is true of the data in the dot plot? Check all that apply.
Number of Minutes for Each Commercial Break
A dot plot going from 1 to 5. 1 has 3 dots, 2 has 0 dots, 3 has 8 dots, 4 has 0 dots, and 5 has 3 dots.
The center is 3.
The peak is 5.
There are no gaps.
It is symmetric.
It is skewed right.
The spread is from 1 to 5.
There were 14 commercial breaks.
Answer:
A,D,F,G
Step-by-step explanation:
What polygon has 4 equal sides, 2 obtuse angles and 2 acute angles?
A.square
B.rectangle
C.trapezoid
D.fhombus
jbkjbjbj
d-eidesihfesoifhdsiufheiugfusdvfuosdgOSUGfsoufgeoygfwy
Answer:igudysyxxhxf
Step-by-step explanation:udyx7d
Well I would say for a math equation there are definitely way to many variables here to solve for, Ummm however it seems as though you are really good at banging on your keyboard and for that I applaud you
i will mark Brainliest plzz help
1: 7x - 2 = 8 + 2x
2: 4 ( 3a + 1 ) = 3a + 22
3: 75 + 5 ( 2-5 ) = -10
4:a - 3 (2a) = -25
Answer:
1.7x-2=8+2x
Step-by-step explanation:
collect like terms
7x-2x=8+2
5x=10
divide 5 both sides to get the value of x
5x/5=10/5
x=2
Answer:
1. x = 2
2. a = 2
4. a = 5.
Step-by-step explanation:
1. 7x - 2 = 8 + 2x
7x - 2x = 8 + 2
5x = 10
x = 2.
2. 4 ( 3a + 1 ) = 3a + 22
12a + 4 = 3a + 22
12a - 3a = 22 - 4
9a = 18
a = 2.
4. a - 3(2a) = -25
a - 6a = -25
-5a = -25
a = 5.
( I couldn't do number 3 because there is no variable in the equation).
A circular satellite dish antenna has a circumference of about 62.8 inches. Find its diameter. Answer this asappp plz
Answer:
20
Step-by-step explanation:
62.8/pi
(give brainliest if this helped)
Answer:
19.99 inches
Step-by-step explanation: