Answer:
y= kx + 5Step-by-step explanation:
Perpendicular bisector passes through the midpoint of the line.
The midpoint is:
x = (10 - 10)/2 = 0y = (-15 + 25)/2 = 5Slope of the line:
m = (25 - (-15))/(-10 - 10) = -2The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.
Use point-slope form and point (0, 5) to find the equation of the line:
y - 5 = 1/2(x - 0)y = 1/2x + 5Correct option seem B as others don't match ours
What is the volume of a cylinder with base radius 2 and height 5?
Either enter an exact answer in terms of 3.14 for pi
Answer:
V ≈ 62.83
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Solution
V=πr 2h = π · 22 · 5 ≈ 62.83185
Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83
Below is the graph of a trigonometric function. It has a maximum point at (-5, 2.5) and a minimum point at
(-1.7, -4.5).
Answer:-1
Step-by-step explanation:
2.5+(-4.5) then / 2
Please help I’ll give brainliest! Due today. I need Sin Z, Tan z, and Cos Z
The hypotenuse of a 30°-60°-90° triangle is 6.
A. Find the lengths of the two legs of the triangle.
B. Find the perimeter.
Answer:
H=6 sin 30=3cm
Step-by-step explanation:
3²+x²=6²
X²=36-9
√x²= 27
X=5.1962
Per=6+5.1962+3= 15.1962cm
Please help please help please help
Can someone answer this.
Answer:
The first choice
Step-by-step explanation:
Find the volume of a cylinder that has a radius of 1/2and a height of 1.
Answer:
0.79
Step-by-step explanation:
please help me i really really really need help please please help me please
9514 1404 393
Answer:
∠4 = 100°
Step-by-step explanation:
This has nothing to do with parallel lines.
Angles 1 and 4 are "vertical angles", hence congruent.
∠1 = ∠4 = 100°
_____
Vertical angles are on opposites sides of the intersection where lines cross.
Which segment is the MEDIAN of the triangle?
Answer:
R
Step-by-step explanation:
plsssssssssssssssss help
Answer:
x = 7
Step-by-step explanation:
Find the point on the graph that has the y-value of 8. Determine its x-value.
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?
Answer:
?????
Step-by-step explanation:
12x 0.25=? ?x 5= $?
What is the mode of the data set?
A. 90
B. No mode
C. 85.5
D. 49
Hurry and give a SERIOUS answer! Will give brainliest.
Answer:
mode is the number listed most often and data can have more then 1 mode
the numbers most listed in the image are: 5 and zero
Step-by-step explanation:
I hope this helped!
Answer:
90
Step-by-step explanation:
mode = A number that appears most often is the mode.
22 points. The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle PQRS. If AB = 60 inches, what is PQ?
A. 60 in.
B. 40 in.
C. 30 in.
D. 20 in.
PQ are the first two letters and AB are the first two letters.
Since the windows are similar the letters in one are in the same orientation as the other ones.
This means PQ would be the same as AB
PQ = 60
The answer is A. 60 in.
Answer:
a
Step-by-step explanation:
PLEASE ANSWER THE PIC BELOW
Answer: 11
Step-by-step explanation:
Since the equation of circumference is 2(r)pi
if 22pi=2(r)pi
then 22=2r
22=2r
r=11
Owen and Ethan have $175 together. How much money does each of them have if Ethan has $33 more than Owen.
Owen has $
Ethan has $
Answer:
Owen has $71 and Ethan has $104
Step-by-step explanation:
Create a system of equations where o is how much money Owen has, and e is how much Ethan has
x + e = 175
e = x + 33
Solve by substitution by plugging in o + 33 in as e, in the first equation
o + e = 175
o + (o + 33) = 175
2o + 33 = 175
2o = 142
o = 71
So, Owen has $71 dollars
To find how much Ethan has, add 33 to this, since he has $33 more than Owen
71 + 33
= 104
So, Owen has $71 and Ethan has $104
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A
THANK YOU!!
Answer:x=18
Step-by-step explanation:
if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V
Solve the system of equation
Answer:
x = 0
y = 1
z = -4
Step-by-step explanation:
6x + 4y + 1z = 0 => z = -6x -4y
If 12x - 4y - 5z = 16, then
12x - 4y - 5(-6x - 4y) = 16
12x - 4y + 30x + 20y = 16
42x + 16y = 16 => 21x + 8y = 8
then y = (8 - 21x)/8
if -24x - 4y + 5z = -24
-24x - 4y + 5(-6x -4y) = -24
-24x - 4y - 30x - 20y = -24
-54x - 24y = -24 => -9x - 4y = -4
substitute y = (8 - 21x)/8
then -9x - 4(8 -21x)/8 = -4
-9x - 1/2(8 -21x) = -4
times 2 in both side
-18x - (8 - 21x) = -8
-18x - 8 + 21x = -8
3x = -8 + 8
3x = 0
x = 0
then y = (8 - 21x)/8 = (8 - 21(0))/8 = (8 - 0)/8 = 8/8 = 1
then z = -6x -4y = -6(0) - 4(1) = 0 - 4 = -4
Hope this helps
Assume that the weight of cereal in a "12.6 ounce box" is N(µ,0.42). The Food and Drug Association (FDA) allows only a small percentage of boxes to contain less than 12.6 ounces. You collect a random sample of n = 35 boxes and find that the sample mean is 12.8. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01
Answer:
We reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0}: \mu = 13[/tex]
The alternate hypotesis is:
[tex]H_{a}: \mu < 13[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
13 is tested at the null hypothesis:
This means that [tex]\mu = 13[/tex]
N(µ,0.42)
This means that the standard deviation is 0.42, that is, [tex]\sigma = 0.42[/tex]
You collect a random sample of n = 35 boxes and find that the sample mean is 12.8.
This means that [tex]n = 35, X = 12.8[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.8 - 13}{\frac{0.42}{\sqrt{35}}}[/tex]
[tex]z = -2.82[/tex]
Pvalue of the test:
The pvalue of the test is the pvalue of z = -2.82.
Looking at the z table, z = -2.82 has a pvalue of 0.0024
0.0024 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis, that is, that the mean is less than 13 ounces.
Find the area of each triangle, each dimension of the triangle shown below is measured in centimeters.
Ill MARK brainiest
How many cubic blocks of side length 1/6
inch would it take to fill a
cube with a side length 2/6 of inch?
Answer:
8
Step-by-step explanation:
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
Question 8 of 10 This circle is centered at the origin, and the length of its radius is 3. What is the circle's equation?
Answer: is x^2 + y^2 = 100
Two lines, A and B, are represented by the following equations:
Line A: 2x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations? (4 points)
a It is (2, 2).
b There are infinitely many solutions.
c It is (4, 0).
d There is no solution.
Answer:
The answer is B! if you want to do more of these problems may I recommend using Desmos?
Answer:
It is (2, 2).
Step-by-step explanation:
how does physical activity improve school achievement
Answer:
Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.
Drag the number to each box to match the expression on the left to its estimate
Answer:
1 - 1/2
2 - 1
3 - 0
Step-by-step explanation:
plz hurry Cari is 3 years older than her brother Mark. Write Cari's age (c) as a function of Mark's age (m) and determine how old Cari will be when Mark is 15.
(A) c = m + 3; 18 years old
(B) c = m − 3; 12 years old
(C) m = c + 3; 12 years old
(D) m = c − 3; 18 years old
Answer:
A
Step-by-step explanation:
Because she is 3 years older then her brother you would be adding 3 to the age to get cari's age
Pls help with this problem. This is due today!
Answer:
2.8 > 2.8< i think
Step-by-step explanation:
You roll a 6-sided die.
What is P(factor of 27)?
A.1/9
B.1/5
C.5/9
D.1/3
Answer:
D
Step-by-step explanation:
because 1 is a factor of every number and also three is a factor of 27
What will the function f(x) = x² look like translated 3
units right and 8 units down?
Answer:
it will look the same, just shifted.
Step-by-step explanation:
The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.