Using the degree and radian relation π/4 radian equals 45°.
Given angle =π/4 radian
What is the relation between radian and a degree?π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.
Since, 1 radian equals 180/π degree.
So, π/4 radian =180/π * π/4 degree.
π/4 radian = 45°.
So, π/4 radian equals 45°.
Therefore, using the degree and radian relation π/4 radian equals 45°.
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michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue
Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:
[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.
x hours - 1 way
Applying cross multiplication:
[tex]\frac{2}{3}x = \frac{7}{4}[/tex]
[tex]2x = \frac{21}{4}[/tex]
[tex]x = \frac{21}{8}[/tex]
x = 2.625.
It will take Michael 2.625 hours to drive to his mother's house.
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A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.
The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 2 units, 5 units, and 5.39 units.
The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be
[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]
Then the area of the circle will be
[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]
The area of the circle is 12 square units.
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Ex 65 : Étagères , merci d’ avance
Answer:
Voir ci-dessous.
Step-by-step explanation:
1.
OA/OD = 36/64 = 9/16
OB/OC = 27/48 = 9/16
m<AOB = m<COD
triangle AOB ~ trianlge DOC
m<BAO = m<CDO
AB || CD
2.
AB/CD = OA/OD
AB/80 = 36/64
AB/80 = 9/16
16AB = 9 × 80
AB = 9 × 5
AB = 45
AB = 45 cm
3.
AB = 45
BC = OC + OB = 48 + 27 = 75
AB² + AC² = BC²
45² + AC² = 75²
AC² = 5625 - 2025
AC = √3600
AC = 60 cm
hauteur = 5 × 2 cm + 4 × 60 cm
hauteur = 10 cm + 240 cm
hauteur = 250 cm
Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper?
Please help ASAP!!
Answer:C, 9 sheets
Step-by-step explanation:
Answer: It's true, it's 9.
Step-by-step explanation:
What value completes this expression?
4m + ____m = 4m (1 + 6)
Answer:
24
Step-by-step explanation:
4(1)m + 4(6)m
= 4m + 24m
The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot. a 4-column table has 3 rows. the first column has entries third-row seats, no third-row seats, total. the second column is labeled 4-wheel drive with entries 18, 7, 25. the third column is labeled no 4-wheel drive with entries 12, 28, 40. the fourth column is labeled total with entries 30, 35, 65. what is the probability that a randomly selected car with no 4-wheel drive has third-row seats? 0.3 0.4 0.7 0.8
The probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
For this case, the table given is:
Entries 4-wheel drive No 4-wheel drive Total
Third Row Seats 18 12 30
No Third Row Seats 7 28 35
Total 25 40 65
Let we take
A = event that a randomly selected car has no-4 wheel drive
B = event that a randomly selected car has third row seats
The total ways a car can be selected = 65 = n(S)
Total ways A can happen = n(A) = 40 (from the table).
Similarly, n(B) = 30
P(A) = n(A)/n(S) = 40/65
P(B) = n(B)/n(S) = 30/65
P(A∩B) = n(A∩B)/n(S) = 12/65
As by chain rule, we have:
P(A∩B) = P(A)P(B|A) = P(B)P(A|B)
We need P( A randomly selected car has three seats given that the selected car is with no 4-wheel drive)
which is symbolically P( B | A)
Thus, we use: P(A∩B) = P(A)P(B|A)
or
[tex]12/65 = (30/65)(P(B|A))\\\dfrac{12/65}{30/65} = P(B|A)\\\\P(B|A) = \dfrac{12}{30} = \dfrac{2}{5} = 0.4[/tex]
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
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Answer:
b. 0.4
Step-by-step explanation:
took the test
John bought a crate of floor tiles $100. the crate had 5 boxes of floor tiles. each box contained 40 floor tiles. what is the cost per box ?
Answer:
20
Step-by-step explanation:
100/5=20
Maria creates a new board game. Her board game uses toothpicks as game pieces. Each board game requires 10
toothpicks. If Maria has 62 toothpicks, how many of her board games will she be able to put together?
Answer:
6 games
Step-by-step explanation:
The number of games can be found by determining the number of groups of 10 Maria can make.
62/10 = 6.2
Maria can make 6 groups of 10 and will have a fraction of a group left over. Maria will be able to put together 6 of her board games.
A pool company offers a pool with dimensions x and 2x. They also include a 3 foot deck around the entire pool.
1. Write an equation to represent the area of the pool and deck combined.
2. If someone wants a 10ft wide pool (x = 10) how many square feet must they have available in their back yard?
Answer:
1) area = (x + 3)(2x + 3) ft²
2) 299 ft²
Step-by-step explanation:
Question 1
Area of a rectangle = width x length
Given:
width = x + 3length = 2x + 3⇒ area = (x + 3)(2x + 3) ft²
Question 2
If x = 10:
⇒ area = (10 + 3)(2(10) + 3)
= 13 · 23
= 299 ft²
#1
New dimensions=x+3 and 2x+3ftSo
Area:-
Length ×Breadth(x+3)(2x+3)x(2x+3)+3(2x+3)2x^2+3x+6x+92x^2+9x+9ft^2#2
Put x=10
2(10)^2+9(10)+92(100)+90+9200+99299ft^2Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
area = 4x² +210x + 2250
Step-by-step explanation:
Area of a rectangle = width × length
Given:
width = 2x + 30length = 2x + 75⇒ area = (2x + 30)(2x + 75)
= 4x² +150x + 60x + 2250
= 4x² +210x + 2250
Based on this stock price model, what is the best prediction of what the price will do next?
what is the quotient?
Answer:
[tex]x^{2}[/tex] - 2x + 4
Step-by-step explanation:
Can someone help? Please and thankyou
What is the area of the parallelogram shown?
Answer:
16
Step-by-step explanation:
Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.
At that point you can compute the area by multiplying base and height, and the total surface is 16.
A philanthropist pledges to donate 13% of a fund each year. If the fund initially has $761,000.00, how much will the fund have after 16 years?
Please type answers with no commas and round to 2 decimal places.
If the philanthropist pledges to donate 13% of a fund each year, at the end of 16 years, the fund will have $35,517,190.20.
How much would the fund have after 16 years?The formula that can be used to determine the value of the fund after 16 years is:
Initial value of the fund x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
(1.13^16 - 1) / 0.13 = 46.671735
46.671735 x $761,000.00 = $35,517,190.20
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8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5
Answer:
A 0.5 = 0.50
Step-by-step explanation:
The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5
These two are equal.
In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease
What is the least common multiple? 27, 21
Answer:
189 is the LCM of 27 and 21
Math homework pls help!!!
Answer:
17.8
Step-by-step explanation:
The power ands the square root cancel out.
AABC has vertices A(-3,-4), B(1,5), and C(4.1). AABC is translated so that B'is located at point (-3, 2). State the
coordinates of A' and C', where AA'B'C' is the translation of AABC.
A. A'(-7, -7), C'(0, -2)
B. A-6, -8), C'(1, -3)
C. A'(-4,-3), C'(1,-4)
D. A'(1,-1), C'(8,4)
Answer:
Step 1: Identify the coordinates of each of the vertices of the triangle.
Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.
Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.
Step-by-step explanation:
Triangle: A triangle is a three-sided geometric figure made by connecting each pair of points in a set of three with straight lines. The points that define a triangle are known as vertices
Part B Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. Keep the square 4 and square 5 window open. You will need them to complete the rest of the tasks in this section. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.
How to explain the square?From the diagram, each side is called the side length. Therefore,
Side length of square 4 = a + bSide length of square 5 = a + bIf the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.
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Find the value of d that makes line m ll n
Answer:
x = 45.
Step-by-step explanation:
The angle between the shorter line and line n is 90 degrees, so
2x must be 90 degrees for m and n to be parallel.
x = 45.
Lol pla helllllllllp
Answer:
66x
Step-by-step explanation:
Rect = bh
Rect = 15 x 4x
Rect = 60x
Triangle = (bh) / 2
B = 7x - 4x
B = 3x
A = 15 - 11
A = 4
Tri = (4 x 3x) / 2
Tri = 12x / 2
Tri = 6x
All = Rect + Tri
All = 6x + 60x
All = 66x
(I promise it's right this time)
Answer:
66x
Step-by-step explanation:
Separate the shape into a rectangle and a triangle.
Dimension of the rectangle:
length = 15width = 4xDimension of the triangle:
base = (15 - 11) = 4height = (7x - 4x) = 3xArea of a rectangle = length × width
Area of a triangle = 1/2 × base × width
Total area = area of rectangle + area of triangle
= (15 × 4x) + (1/2 × 4 × 3x)
= 60x + 6x
= 66x
HELP ASAP LAST QUESTION I PROMISE
Answer:
[tex]a=36\: \sf ms^{-2}[/tex]
Step-by-step explanation:
[tex]\textsf{Displacement}\:x=4t^3-27t+8[/tex]
[tex]\implies \textsf{Velocity}\:v=\dfrac{dx}{dt}=12t^2-27[/tex]
[tex]\implies \textsf{Acceleration}\:a=\dfrac{dv}{dt}=24t[/tex]
At the moment the direction of motion of P reverses, the velocity of P will be zero. Therefore, find the value of t when v = 0:
[tex]\implies v=0[/tex]
[tex]\implies 12t^2-27=0[/tex]
[tex]\implies t^2=\dfrac{27}{12}=\dfrac94[/tex]
[tex]\implies t=\pm\sqrt{\dfrac94}=\pm\dfrac32[/tex]
As time is positive, P reverses when t = 3/2 s
To find acceleration at this time, simply substitute the found value of t into the equation for acceleration:
[tex]\implies a=24(\frac32)[/tex]
[tex]\implies a=36\: \sf ms^{-2}[/tex]
Figure ABCDEF is a regular polygon. What is the measure of cdq?
Answer: 60
Step-by-step explanation: first do 6-2 and multiple that by 180 after that your going to divide that by 6 u end up with 120 after subtract 180-120 = 60 .
It took 24 hours to fill up the town swimming pool with 18,000 gallons of water. How many gallons were filled in 1 hour?
Answer:
750 gallons per hour
Step-by-step explanation:
divide 18000 by 24 and you get 750
State a mathematical phase to for each English phase
1.) three or more than a number
2.) the sum of a number and ten
3.) seven less than a number
4.) cube of a number increase by nine
5.) square of the sum of a number
Thanks for your answer :)
Answer:
the sum of a number
Step-by-step explanation:
0.017
is x – 4 a factor of P(x) = x^4 - 4x^2 – 4x + 8 ? Explain.
Answer:
(x3 - 2x2 - 4) • (x + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((x4) - 22x2) - 4x) - 8
STEP
2
:
Checking for a perfect cube
2.1 x4-4x2-4x-8 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x4-4x2-4x-8
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x4-8
Group 2: -4x2-4x
Pull out from each group separately :
Group 1: (x4-8) • (1)
Group 2: (x+1) • (-4x)
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x4-4x2-4x-8
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -8.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8
Please help me with this please and thank you
Answer:
b. [tex]3^{-x}[/tex]
Step-by-step explanation:
(-2, 9)
[tex]f(-2)=3^{-(-2)} =3^{2} =9[/tex]
(-1, 3)
[tex]f(-1)=3^{-(-1)} =3^{1} =3[/tex]
(0 1)
[tex]f(0)=3^{0} =1[/tex]
Hope this helps
Abby practiced her horn for 3/4 of an hour every day for 12 days?
a) How many hours did she practice in those 12 days?
b) How many minutes did she practiced in those 12 days?
Answer:
9 hours, 540 minutes
Step-by-step explanation:
12 x 0.75 = 9
Which expression is equivalent to 16 4 6 ax?
Answer:
i believe the correct answer is a
How much is 75% of 10 liter of milk?
Answer:
7.5 liters of milk
Step-by-step explanation:
Multiply 10 by 0.75
Hope that helps!