Answers
Answer:
<a = <b = 60°
Step-by-step explanation:
<a and <b is vertically opposite of each other, thus equal each other. 90 - 30 = <b = <a.
Answer:
a and b are equal so a and b are 60°
Related Questions
Workers Inc. just bought 12 boxes of pens to put in their storage room for employees to use as needed. Each box contains 35
pens. If each of the 25 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 417
B. 395
C. 345
D.195
Answers
Answer:
C. 345Step-by-step explanation:
first you multiply 25 and 3. and get 75next multiply 12 and 35. and get 420
finally subtract the two and get 345
ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answers
Answer:
v = 29647.79 cu.ft.
Step-by-step explanation:
[tex]v=\frac{4}{3} \pi r^{3}\\ r=19.2[/tex]
[tex]v=\frac{4}{3} \pi (19.2)^{3} =29,647.79 cu.ft[/tex]
Hope this helps
Answer:
29632.76 cubic feet
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
radius: 19.2 ftVolume:
4/3 π(radius)³insert values
4/3 (3.14)(19.2)³simplify
29632.7577rounded to nearest hundredth
29632.76 cm³suma is twice as old as her brother. in 6 years time,the sum of their ages will be 39 years.what is her age now?
Answers
Answer:
18
Step-by-step explanation:
In 6 years, both other their ages will add up to 39. So 12 years back( 6 years for each of them), their combined age will be 27.
Now we have to find the age of Suma. We can find her brother age first.
We can use the equation 2x+x=27
In this equation, x is the age of Suma's brother. 2x + x = 3x.
3x = 27.
27 divided by 3 is 9 so Suma's brother is 9 years old. And since Suma is twice as old. Suma is 18 years old.
Answer:
Suma is 18 years old
Step-by-step explanation:
Let s = Suma's age
Let b = brother's age
Suma is twice as old as her brother:
⇒ s = 2b
In 6 years time, the sum of their ages will be 39 years:
⇒ (s + 6) + (b + 6) = 39
Substitute s = 2b into (s + 6) + (b + 6) = 39 and solve for b:
⇒ (2b + 6) + (b + 6) = 39
⇒ 3b + 12 = 39
⇒ 3b = 27
⇒ b = 9
Substitute found value of b into s = 2b and solve for s:
⇒ s = 2(9)
⇒ s = 18
Therefore, Suma is 18 years old and her brother is 9 years old.
PLS HELP ME ASAP !!!
Answers
The probability that she picks a blue marble three times in a row is 1/125.
Given that
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
We have to determine
What is the probability that she picks a blue marble three times in a row?
According to the question
Samantha has a bag of 5 different colored marbles.
She randomly picks a marble from the bag, records the color, and returns it to the bag before picking another marble.
The probability of picking a bag one time is,
Number of bag pack at a time
Total number of bag
=1/5
The probability of picking a bag second time is,
Number of bag pack at a time Total number of bag
=1/5
The probability of picking a bag third time is,
Number of bag pack at a time
Total number of bag
=1/5
031%
Therefore,
The probability that she picks a blue marble three times in a row is,
= 1/5 X 1/5 X 1/5
1 /125
Hence, the probability that she picks a blue marble three times in a row is 1/125.
To know more about Probability click the link given below.
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Step-by-step explanation:
hope this helps
Find a time where the hour and minute hand are 40 degrees apart.
Answers
Answer:
At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5
QUICKKK!! PLEASE
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000.
(a) Explain what this probability means.
(b) If 10000 people play the Pick 4 lottery, will exactly 1 person win the lottery? Explain.
(c) The winning number in a Pick 4 lottery was 1234 two days in a row. What is the likelihood o
this number occurring on the next drawing? Explain
Answers
A probability of 1/10000 means that only one person can get the Pick 4 lottery among 10000 pickers.
What is probability?The term probability has to do with the chance that an event will occur or not. Usually probability is expressed as a fraction.
The meaning of the saying that the probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10000 is that only one person can get the Pick 4 lottery among 10000 pickers.
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Describe the reflection of the figure. A) reflection over the x-axis B) reflection over the y-axis C) reflection over the line y = 4 D) reflection over the line y = −4
Answers
Answer:
A) reflection over the x-axis
Step-by-step explanation:
The state of Connecticut is approximated by a rectangle 100 mi by 50 mi.
Hartford is approximately at the center of Connecticut. If a meteor hit the
earth within 200 mi of Hartford, find the probability that the meteor landed in
Connecticut.
Answers
Answer:
4.0%
Step-by-step explanation:
If we assume that potential impact sites are uniformly distributed over the area, the probability of interest is the ratio of the area of Connecticut to the area of the circle within 200 miles of Hartford.
__
area of circleThe area of a circle with radius 200 miles is ...
A = πr²
A = π(200 mi)² = 40000π mi² ≈ 125,664 mi²
area of CTThe area of a rectangle 100 miles by 50 miles is ...
A = LW
A = (100 mi)(50 mi) = 5000 mi²
probabilityThe probability of interest is the ratio of these areas:
p(impact in CT) = (5000 mi²)/(125664 mi²) ≈ 0.03979
The probability the meteor landed in Connecticut is about 4.0%.
A square of area 169 cm² is transformed into an equilateral triangle. What is the perimeter, in
cm, of the triangle?
Answers
Answer:
39cm
Step-by-step explanation:
area of square = side^2 =169
side = 13cm
Perimeter of triangle = 3*side
=3 * 13 = 39cm
Answer:
52
Step-by-step explanation:
√169 =13
13*4= 52 because the perimeter of the square is equal to the perimeter of the triangle
Find the value of x 63° (2x + 3)°
Answers
Answer:
x = 20
Step-by-step explanation:
63−3x=3
−3x=−60
x=20
Which of these is not a property of a Parallelogram?
a) Opposite Sides Congruent
b) Opposite Angles Congruent
c) Diagonals Bisect Each other
d) Diagonals Congruent
Answers
A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.
Explanation:
There are six important properties of a parallelograms:
The opposite side of a parallelogram is always equal.The opposite angle of a parallelogram are congruent.The consecutive angles of a parallelogram are supplementary.In a parallelogram if one angle is right then all the angles are right.The diagonals of parallelogram bisect each other.Each diagonal of a parallelogram separates it into two congruent triangle.The answer to the above question is (D) Diagonals Congruent
Answer:
D
Step-by-step explanation:
Because these are the 7 properties of a parralelgrom
Opposite sides are parallel.
Opposite sides are congruent.
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary. .
Each diagonal of a parallelogram separates it into two congruent triangles.
The diagonals of a parallelogram bisect each other.
Complete the table above. Also, find the number students that can be chaperoned by 9 teachers.
Answers
The number of students would be 45
The diameter is 57 cm what is the radius and area write your solution below
Answers
Answer: radius: 28.5
area: 2551.76
Step-by-step explanation:
radius is always half of the diameter and area is pi(r^2)
En el sistema, encontrar el doble de y:
2x + y = 5
x + y = 4
a) 6
b) 4
c) 3
d) 2
Answers
Answer:
y=3
x=1
Step-by-step explanation:
1 by substitution method
2x+y=5 (1)
x+y=4 (2)
find x in eq 2
x=4-y
put the value in eq 1
2x+y=5
2(4-y)+y=5
8-2y+y=5
8-y=5
-y=5-8
-y=-3
y = 3
x=4-y
x=4-3
x=3
hope it helps you
please mark it as brainliest
change this to an improper fraction 3 1/8
Answers
Answer: 25/8
Step-by-step explanation:
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Change 3+1/8 to an improper fraction.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
First, multiply the whole part (3) times the denominator (8):-
[tex]\bold{3\times8=24}[/tex]
Now add the numerator:-
[tex]\bold{25}[/tex]
That's the numerator of the improper fraction, and the denominator stays the same.
[tex]\bigstar[/tex] Therefore, the fraction is
[tex]\bold{\dfrac{25}{24}}[/tex]
Good luck.[tex]\rule{300}{1}[/tex]
please help me do this question
Answers
Answer:
[tex]\dfrac{d^2y}{dx^2} = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)[/tex]
Step-by-step explanation:
[tex]\large \boxed{\begin{minipage}{5 cm}\textsf{\underline{Product Rule}}\\\\$ \textsf{When } \:y=uv\\\\\dfrac{dy}{dx}=u\dfrac{dv}{dx}+v \dfrac{du}{dx}$\\\end{minipage}}[/tex]
Given:
[tex]y=e^{3x} \sin(2x)[/tex]
First Derivative
[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]
[tex]\textsf{let } v= \sin(2x) \implies \dfrac{dv}{dx}=2 \cos (2x)[/tex]
Using the Product Rule:
[tex]\begin{aligned}\dfrac{dy}{dx} & =e^{3x}\cdot 2 \cos (2x) + \sin (2x) \cdot 3e^{3x}\\& = 2e^{3x} \cos (2x) + 3e^{3x} \sin (2x)\\& = e^{3x}(2 \cos (2x) + 3 \sin (2x))\end{aligned}[/tex]
Second Derivative
[tex]\textsf{let } u=e^{3x} \implies \dfrac{du}{dx}=3e^{3x}[/tex]
[tex]\textsf{let } v= 2 \cos (2x)+3 \sin (2x) \implies \dfrac{dv}{dx}=-4 \sin (2x) +6 \cos (2x)[/tex]
Using the Product Rule:
[tex]\begin{aligned}\dfrac{d^2y}{dx^2} & =e^{3x}(-4 \sin (2x) +6 \cos (2x)) +3e^{3x} (2 \cos (2x)+3 \sin (2x))\\& = e^{3x}[-4 \sin (2x) +6 \cos (2x)+6 \cos (2x)+9 \sin (2x)]\\& = e^{3x}[5 \sin (2x) +12 \cos (2x)]\\& = 5e^{3x} \sin (2x)+12e^{3x} \cos (2x)\end{aligned}[/tex]
Answer:
[tex] \tt{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x)}[/tex]
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀▩ Question[tex]y = {e}^{3x} \sin(2x) \\ { \sf{To \: find}} \: \frac{ {d}^{2}y }{d {x}^{2} } [/tex]
⠀
⠀
⠀⠀⠀⠀■ Solution⠀
First finding dy/dx⠀
[tex] \sf using \: \frac{d}{dx} uv = u \frac{d}{dx} v + v \frac{d}{dx} u \: formula[/tex]
⠀
⠀
Taking derivative of sin2x and e^3x⠀
[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} } \\ \\ \bold{ \frac{dy}{dx} = {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x}[/tex]
⠀
⠀
Multiplying⠀
[tex] \bold{ \frac{dy}{dx} = {e}^{3x} \times 2 \cos(2x) + \sin(3x) \times 3 {e}^{3x} }[/tex]
⠀
⠀
Value of dy/dx⠀
[tex] \bold{ \frac{dy}{dx} = 2 {e}^{3x} \cos(2x) + 3 {e}^{3x} \sin(2x) }[/tex]
⠀
⠀
Now taking derivative again using same formula as mention in first part, so that to find d²y/dx².⠀
⠀
⠀⠀● First solving 2e^3x cos(2x)
⠀
[tex] \bold{ 2( {e}^{3x} \frac{d}{dx} \cos(2x) + \cos(2x) \frac{d}{dx} {e}^{3x}) }[/tex]
⠀
⠀
Taking derivative of cos2x and e^3x⠀
[tex] \bold{2( {e}^{3x} - \sin(2x) \frac{d}{dx} 2x + \cos(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) }[/tex]
⠀
⠀
⠀⠀● Now solving 3e^3x sin(2x)
⠀
[tex] \bold{ 3( {e}^{3x} \frac{d}{dx} \sin(2x) + \sin(2x) \frac{d}{dx} {e}^{3x} )}[/tex]
⠀
⠀
Now taking derivative of sin 2x and e^3x⠀
[tex] \bold{ 3( {e}^{3x} \cos(2x) \frac{d}{dx} 2x + \sin(2x) {e}^{3x} \frac{d}{dx} 3x)} \\ \\ \bold{ 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) }[/tex]
⠀
⠀
Adding both solution⠀
[tex] \bold{ \frac{ {d}^{2}y }{d {x}^{2} } = - 4 {e}^{3x} \sin(2x) + 6 {e}^{3x} \cos(2x) + 6 {e}^{3x} \cos(2x) + 9 {e}^{3x} \sin(2x) } \\ \\ \bold{ \frac{ {d}^{2} y}{d {x}^{2} } = 5 {e}^{3x} \sin(2x) + 12 {e}^{3x} \cos(2x) }[/tex]
Books cost $6.95 each. Mary had a $5 bill,a$1 bill.and 3 dimes.How much more money does she need to buy one book?
Answers
Answer:
$0.65
Step-by-step explanation:
Given:
Books cost $6.95 each.
Mary had a $5 bill, a $1 bill, and 3 dimes.
To Find:
How much more money does she need to buy one book?
Solve:
Add all Mary money:
5+1+.30
6+.30
=6.30
Now subtract the book cost by Mary total money.
$6.95-$6.30
=$.65
Hence, Mary needs .65 cents to buy one book.
Kavinsky
Answer: 65 cents 0.65
Step-by-step explanation:
$5 + $1=$6
3dimes= 30 cents
$6 + 30 cents=$6.30
$6.95-$6.30=0.65
PLEASE HELP
Which function, g or h, is the inverse function for function f?
Answers
Answer: The function h because the graphs of f and h are symmetrical about the line y=x.
In AVWX, v = 64 cm, w = 18 cm and x=63
cm. Find the measure of ZW to the
nearest degree.
Answers
Answer:
The answer is 1230cm square
Is there a way to find all the factor pairs for a big number like 805 quickly
Answers
Answer:
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Step-by-step explanation:
A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.
In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.
The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Help with functions!! Thanks!
Answers
Answer:
-2
2
Step-by-step explanation:
just use common sense. what does "local maximum" mean ?
it means a point, where the curve in the nearest neighborhood does not have a higher value. where the curve comes from smaller values, turns around and leaves with smaller values again.
(a) there is one point in this graph : at x = -2
(b) and that maximum value at that point is y = 2
Fred figured out the volume of the glass is 141.37cm. Show work
Answers
To solve this problem, we have to calculate the volume of a hemisphere and the volume of a cylinder and add them together. The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.
Volume of a HemisphereThe volume of a hemisphere is given as
[tex]v = \frac{2}{3} * \pi * r^3[/tex]
Data
r = 3cmLet's substitute the values into the equation and solve.
[tex]v = \frac{2}{3} * \pi * r^3\\v = 56.556cm^3\\[/tex]
Volume of a CylinderThe formula of volume of a cylinder is
[tex]v = \pi r^2 h[/tex]
data given
h = 3cmr = 3cmLet's substitute the values into the equation and solve
[tex]v = \pi r^2 h\\v = 3.142 * 3^2 * 3\\v = 84.834cm^3[/tex]
Let's add both volumes together so we have the volume of the glass cup
[tex]56.556 + 84.834 = 141.39cm^3[/tex]
The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.
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A wooden block is in the shape of a regular hexagonal pyramid. The lateral surface area of the pyramid is 450 square centimeters, and the pyramid has a slant height of 15 centimeters. What is the side length of the base?
Answers
Answer:
10 cm
Step-by-step explanation:
Each vertex of a quadrilateral is dilated by a scale factor of about the
point P (-7, 4). What will be the effect on the perimeter of the resulting lens
figure?
Answers
Answer:
write an article for publication in the daily graphic on the topic every school must have a library
Which shows the equation of the line containing the point (–2, 6) and having a slope of 3 in slope-intercept form?
3y = x + 20
y=3x−20
y = 3x + 12
y=−32x+3
Answers
Answer:
y=3x+12
Step-by-step explanation:
Use this formula: y-y1=m(x-x1)
(y-Your y point=slope(x-Your x point)
Point= (-2, 6), Slope= 3
(Anything negative, you add. Anything positive, you subtract.)
Plug in your values: y-6=3(x+2)
distribute: y-6=3x+6
Add six to both sides of the equation:y-6(+6)=3x+6(+6)
We get our answer: y=3x+12
Hope this helps!! :)
You pick a card at random, put it back, and then pick another card at random.
2345
What is the probability of picking a number less than 4 and then picking a number greater
than 2?
Write your answer as a percentage.
%
Answers
Answer:
3 is the right answer because it is less than 4 and greater than 2
So i tried sloving number b but when i add them i got 25.05 pls help me who will give me how to slove it i will mark the brainlist
Answers
Answer:
Original price = t = $24
Expression = t + 0.05t
—-
New price = t + 0.05t = 24 + (0.05*24) = $25.20
—-
Have a nice day!!
Answer:
$25.20
Step-by-step explanation:
Original price = t = $ 24
New price = 1.05*24
= 25.20
Just multiply 1.05 by 24
please help will mark Brainliest!!
Answers
Help! Is my working correct/wrong? If my working is wrong, sorry to trouble you but can you pls correct it?
THANKS IN ADVANCE!!
NONSENSE = REPORT
NO ALGEBRA! PLEASE! THANKS!!!!!
Answers
Answer:
∠ e = 20°
Step-by-step explanation:
you should have also subtracted 2e from the 360
since UV is a straight line, the angles lying on it sum to 180° , that is
90° + e + 70° = 180°
e + 160° = 180° ( subtract 160° from both sides )
e = 20°
The owner of a smart watch would like to estimate the mean number of steps they take per day. To do so, they select a random sample of 30 days from the previous year's data and record the number of steps they took on each of those days. The mean number of steps taken per day was 8,575 with a standard deviation of 2,125 steps. What is the value of the standard error of the mean?
O 70.833 O 387.970 O 394.603 O 2,125
Answers
The standard error is an estimate of the standard deviation of the sampling distribution. The value of the standard error of the mean is 387.970.
What is the standard error?It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Suppose that we're given that:
Population standard deviation = σ
Size of the sample we're working on = n
Then, the standard error can be calculated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
The standard error of the mean can be written as,
SE = σ/√n
SE = 2,125/√30
SE = 387.970
Hence, the value of the standard error of the mean is 387.970.
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