9514 1404 393
Answer:
A. 6
Step-by-step explanation:
The wording "set A and set B" means you're interested in elements that belong only to both. In your diagram, that is Region II. There are 6 elements that belong to A and B.
AB = 6
_____
Additional comment
"A and B" is also called the "intersection" of the two sets: A ∩ B.
The number you have chosen is the number in Regions I, II, and III. That is the set of elements that belong to A or B. You have identified the "union" of the two sets: A ∪ B. (It might also be represented as A+B.)
A wind machine used to generate electricity has blades that are 10m in length. The propeller is rotating at 5 revolutions per second. Find the linear speed of the tips of the
blades. Express your answer in terms of n and using units meters per second.
A. 120n m/sec
B. 60n m/sec
C. 100n m/sec
D. 30n m/sec
Answer:
[tex]
\mathbb{ ANSWER }[/tex]
C. 100n m/sec
Part B
Calculate BD. Show your work. What does this length represent with regard to ∆ABC?
Answer:
4, It is the height of triangle ABC
Step-by-step explanation:
The easy way is to just count. But you can also use the Pythagorean theorem because BDC is a right triangle. First, use the distance formula to find BC. [tex]\sqrt{(5-2)^{2} +(-2-2)^2[/tex]=5
5^2=BD^2+DC^2
25=BD^2+9
BD=4
[tex]BD = \sqrt{89}[/tex],BD is the median of ∆ABC. A median is a line segment that joins a vertex of a triangle to the midpoint of the opposite side. In ∆ABC, BD divides the triangle into two smaller triangles that are congruent.
The length of BD can be calculated using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the triangle shown, the hypotenuse is BD, and the other two sides are AB and BC. So, we can use the Pythagorean Theorem to write the equation:
BD² = AB² + BC²
We are given that AB = 5 and BC = 8. So, we can plug these values into the equation to get:
BD² = 5² + 8² = 25 + 64 = 89
Taking the square root of both sides, we get:
[tex]BD = \sqrt{89}[/tex]
To know more about triangles:
https://brainly.com/question/2773823
#SPJ2
20. An expression is shown.
2(x+3) - (x-1)
Create an equivalent expression without parentheses.
8
157+7
Answer:
What you have is correct:
8/15x+7
Step-by-step explanation:
6/5x+6-2/3x+1
18/15x-10/15x+6=
8/15x+7
r = 7 cm can someone help me find the answer?
Answer:
Answer to what exactly?
help me please I will give brainliest!
Answer:
A. y = 3x + 3
Step-by-step explanation:
The slope is 3 and the y-intercept is 3. Therefore, answer A is correct
The volume of the polyhedron is ______ cm3.
Answer:
133.07 cm^3
Step-by-step explanation:
the polyhedron is a cone
volume of a cone =n r^2(h/3)
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5 in
h = height
(2.5^2 x 8) x 1/3 x 22/7 = 52.39 in^3
we need to convert inches to cm
1 in = 2.54 cm
2.54 x 52.39 = 133.07 cm^3
The function f(x) is cubic function and the zeros of f(x) are -5,3 and 6. The y intercept of f(x) is 360. Write the equation of the cubic polynomial in standard form
uppose a large telephone manufacturer has a problem with excessive customer complaints and consequent returns of the phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many telephones should be sampled and checked in order to estimate the proportion defective to within 4 percentage points with 83% confidence
Answer:
The answer is "294.2075".
Step-by-step explanation:
Given:
[tex]\hat{p} = 0.5 \\\\1 - \hat{p} = 1 - 0.5 = 0.5\\\\E = 4\% = 0.04\\\\[/tex]
At [tex]83\%[/tex] confidence level the z is ,
[tex]\alpha = 1 - 83\% = 1 - 0.83 = 0.17\\\\\frac{\alpha}{2} = \frac{0.17}{2} = 0.085\\\\Z_{\frac{\alpha}{2}} = Z_{0.085} = 1.3722\\\\n = (\frac{Z_{\frac{\alpha}{2}}}{E})^2 \times \hat{p} \times (1 - \hat{p})\\\\[/tex]
[tex]= (\frac{1.3722}{0.04})^2 \times 0.5 \times 0.5\\\\= (34.305)^2 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.25\\\\=294.2075[/tex]
8.
Find the equation to the line passing through the point of intersection of the lines
3x + 14 =
2y and x + y = 6, and is also perpendicular to the line 5x =
6y + 1.
9514 1404 393
Answer:
30x +25y = 148
Step-by-step explanation:
We can use substitution to find the point of intersection of ...
3x +14 = 2yx + y = 6Using the second equation, we can write an expression for y:
y = 6 -x
Substituting that into the first equation gives ...
3x +14 = 2(6 -x)
3x +14 = 12 -2x . . . . . eliminate parentheses
5x = -2 . . . . . . . . . . . add 2x-14
x = -0.4 . . . . . . . . . divide by 5
y = 6 -(-0.4) = 6.4
__
Now, we want an equation for a line through the point (-0.4, 6.4) that is perpendicular to 5x = 6y+1
The perpendicular line will have the coefficients swapped with one of them negated. The constant will accommodate the given point.
6x = -5y + c
6(-0.4) +5(6.4) = c = 29.6
The perpendicular line can be written ...
6x = -5y +29.6
In standard form, the equation is ...
30x +25y = 148
A school raised $4,589 in a magazine sale. Mr. Simmon's class raised 1 of the school's total. 100 How much money, in dollars, did Mr. Simmon's class raise? Enter the number in the box.
Answer:
Money raised by Mr. Simmons class = $ 45.89
sing the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Answer:
x = 1 ± i √ 19
Step-by-step explanation:
x = 1 ± i √ 19
Omg someone anybody help!! Please
Answer:
y= 2x
Step-by-step explanation:
y= mx+b
The slope (m) is 2/1 or just 2.
The y-intercept (b) is 0.
y= 2x
you measured the weight of every apple in a box and found the mean weight to be 13.2 ounces and the standard deviation to be 2.7 ounces. you then discover that your scale was weighing every apple as being 3 ounces heavier than their actual weight. what are the actual mean and standard deviation?
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
False
Answer:
The correct answer is true.
Step-by-step explanation:
You can draw a quadrilateral with two sets of parallel lines and no right angles, since a parallelogram lines up exact with the requirements.
Hope this helps! Have a great day :)
please help!!!!!!!!!!!!!!!!!!!
Answer:
I don't know definitely, but in guessing A) 2X+3Y=-25 x-y=5
Step-by-step explanation:
2 times more than X, means that whatever x is, its multiplied by 2, giving 2X, also making it the larger number, even if y is a smaller number.
For example: x=5 2x5= 10, and y=3 3x3= 9
Im sorry if its wrong
Simplify 8 . 3 . X
A.13x
B.24x
C.22x
D.48x
Answer:
D. 48x
Step-by-step explanation:
sana nakatulong
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
1. C 4x4x4x4x4
2. Power is 5 and the Square yards are 25
3. 2^3 ^2
Step-by-step explanation:
3.2 x 1.4 =
help help help pls
Answer:
4.48
Step-by-step explanation:
Answer:
4.48
Step-by-step explanation:
x + 6.62 = 8.53
x = _
Answer:
x = 1.91
Step-by-step explanation:
x + 6.62 = 8.53
x + 6.62 - 6.62 = 8.53 - 6.62
x = 1.91
Find the angle between u=〈−2,5〉 and v=〈5,2〉 to the nearest tenth of a degree.
Answer:
angle is 1°
Step-by-step explanation:
[tex] \cos(u \: v \: ) = \frac{u \times v}{ |u| \times |v| } [/tex]
PLEASE HELP ME WITH THIS !
Answer:
uh idek
Step-by-step explanation:
Answer:
1) 20.2
2) 13
3) 10.3
4) 103
Step-by-step explanation:
If you need help solving these on your own next time, here's the formula
a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.
To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)
Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.
(ex. √408.64, which is 20.2)
m∠A+ m∠B = ? How do you know this?
Answer:
Step-by-step explanation:
If m∠A + m∠B = m∠B + m∠C, subtract m∠B from both sides [ subtraction property of equality ].
We get that m∠A = m∠C and by the symmetric property of equality, m∠C = m∠A
How many favorable outcomes will there be for spinning the same color twice?
Answer:
3 favorable outcomes
There are three paths that end up with spinning the same color twice
Answer:
should be 3
Step-by-step explanation:
Please help ! Please help!
6x + 2 = 62
6x + 2 - 2 = 62 - 2
6x = 60
6x / 6 = 60 / 6
x = 10
A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Answer:
As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
Option 1:
Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X
79 + 62H + 15H = X
Option 2:
Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X
79 + ((62 + 15) x H) = X
probability problem Plz help
find the mean variance and standard deviation for the number of heads when a coin is tossed 30 times
Answer:
mean=10*1/2=5
variance=10*1/2*1/2=2.5
standard deviation=sqrt2.5=1.58
Step-by-step explanation: Hope this helps Have a good day :)
help please and thank you
Find the perimeter of the figure below, in meters.
9.9 m
9.9 m
12 m
12 m
12 m
12 m
12 m
12 m
Chang is playing a game of chance in which he tosses
Answer:
3,405
Step-by-step explanation: