Answer:
c) Slope;-7;y-intercept:2
Step-by-step explanation:
Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm the bottom of the cylinder is 4cm so whats the volume of it?
Answer:
The volume of the cylinder is 163.3 m³.
Step-by-step explanation:
Given that,
Height = 13 cm
Base = 4 cm
So, radius = 2 cm
We need to calculate the volume of the cylinder
Using formula of cylinder
[tex]V=\pi r^2h[/tex]
Where, r = radius
h = height
Put the value into the formula
[tex]V=\pi\times(2)^2\times13[/tex]
[tex]V=163.3\ cm^3[/tex]
Hence, The volume of the cylinder is 163.3 cm³.
Angles θ and φ are angles in standard position such that:
sinθ = -5/13 and θ terminates in Quadrant III
tanφ = -8/15 and φ terminates in Quadrant II
Find sin(θ + φ).
When [tex]\theta[/tex] terminates in quadrant III, both [tex]\cos\theta[/tex] and [tex]\sin\theta[/tex] are negative, and
[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac{12}{13}[/tex]
When [tex]\varphi[/tex] terminates in quadrant II, [tex]\cos\varphi[/tex] is negative and [tex]\sin\varphi[/tex] is positive, so
[tex]1+\tan^2\varphi=\sec^2\varphi\implies\sec\varphi=-\dfrac{17}{15}[/tex]
which gives
[tex]\cos\varphi=\dfrac1{-\frac{17}{15}}=-\dfrac{15}{17}[/tex]
[tex]\tan\varphi=\dfrac{\sin\varphi}{\cos\varphi}=-\dfrac8{15}\implies\sin\varphi=\dfrac8{17}[/tex]
Now,
[tex]\sin(\theta+\varphi)=\sin\theta\cos\varphi+\cos\theta\sin\varphi=-\dfrac{21}{221}[/tex]
inscribed angles. I need answers asap, thank you!
Answer:
60°
Step-by-step explanation:
The whole circunference is 360° from a central angle
so from an inscribed angle is 180°
notice that arc ABC + arc ADC make the whole circunference
so the inscribed angles that support those arc together must add to 180°
120°+b=180
b=60
from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180
Which classification describes the following system of equations?
(12x+5y-32= 36
x-2y + 4z = 3
9x-10y + 5z = 27
Answer:
(12x+5y-32=36
12x-x+5y-2y-32=36
What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and 1.2. Distribute 1.2 to 6.3 and –7x . Combine 6.3 and –7x . Combine 3.5 and 7.56. Subtract 11.06 from both sides. Mark this and return Save and Exit Next Submit
Answer:
1) Distribute 1.2 to 6.3 and -7x
2)Combine 3.5 and 7.56
3)Subtract 11.06 from both sides
Step-by-step explanation:
3.5 + 1.2(6.3 - 7x) = 9.38
Distribute 1.2 to 6.3 and -7x
3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38
3.5 + 7.56 - 8.4x = 9.38
Combine 3.5 and 7.56
11.06 - 8.4x = 9.38
Subtract 11.06 from both sides
11.06 - 8.4x -11.06 = 9.38 - 11.06
-8.4x = -1.68
To find solution:
Divide both sides by (-8.4)
-8.4x/-8.4 = -1.68/-8.4
x = 0.02
Answer:
B, D, and E
its right cus i took the test soo..
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
396
Step-by-step explanation:
the volume of a rectangular is calculated as V=l×w×h
l=11, w=12, h=3
V=11×12×3
V= 396
the perimeters of two squares are 60 meters and 144 meters respectively. find the perimeter of another square equal in area to the sum of the first two squares
Answer:
Step-by-step explanation:
perimeter of first square = 4 × side = 60 m
∴ side = 60/4 = 15 m
so area = s × s = 15 × 15 = 225 m^2
perimeter of second square = 4 × side = 144 m
∴ side = 144/4 = 36 m
so area = s × s = 36 × 36 = 1296 m^2
Perimeter of the third square = sum of areas of the first and second triangle
= 225 + 1296
= 1521 m
hope this helps
plz mark as brainliest!!!!!
Answer:
Perimeter of new square = 156 m
Step-by-step explanation:
First square:
Perimeter = 60 m
4 * side = 60 m
side = 60/4
side = 15 m
Area of first square = side * side = 15 * 15 = 225 m²
Second square:
Perimeter = 144 m
4 * side = 144 m
side = 144/4
side = 36 m
Area of second square = side * side = 36 * 36 = 1296 m²
New square:
Area of new square = area of first square + area of second square
= 225 + 129
Area of new square = 1521 m²
side * side = 1521
side = √1521 = √39*39
side = 39 m
Perimeter of new square = 4 * 39 = 156 m
IssaC is now x years old. Erika is 7 years older than Issac. In terms of how old was Erika 4 years ago ?
Answer:
Isaac = x
Step-by-step explanation:
Erika is 3y older than Isaac
Isaac is x years old
Answer: x+3
Work Shown:
x = Issac's age right now
x+7 = Erika's age right now
(x+7)-4 = x+3 = Erika's age four years ago
the price of sugar increase from shs 1000 to shs 1200.In what percentage did the price increase
Answer:
20%
Step-by-step explanation:
1000×120%=1200
120-100=20
Please help its due in 30 minutes will mark braniliest
Answer:
Step-by-step explanation:
It's a ray. A ray has 1 fixed point. The other end of the ray goes on forever, just as this diagram shows.
If A has a 3 letter name, but the name doesn’t contain a vowel what would be A’s name?
A is vowel.
first condition prevents any vowels, thus there will be no A at all
. (08.01 MC) 1. Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points) 2.(08.01 MC) Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank). (4 points)
Answer:
602.88 in³
12
Step-by-step explanation:
Formula for volume of a cylinder = πr² · h
radius (r) = 1/2(diameter)
1. Set up the equation
radius = 4
(3.14)(4²)(3·4)
2. Solve
3.14(16)(12) = 602.88 in³
Formula for volume of a cone = 1/3πr² · h
The formula of a cone is 1/3 the volume of a cylinder. Therefore, a cone that fits perfectly within the dimensions of a cylinder would have a volume equal to 1/3 of the volume of the cylinder.
1. Set up the equation and solve
36 ÷ 3 = 12
how many are 8 raised to 3 ???
Please answer this question now
Answer:
m∠C = 102°
Step-by-step explanation:
This is is a cyclic quadrilateral
• The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
If you look at the above diagram properly, you will notice there are are angles outside the circle. We refer to this an exterior or external angles in a cyclic quadrilateral
• Note that m∠B is Opposite the exterior angle m∠CDA
Hence,
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
• m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
• Another external angle we need to find is m∠DAB
m∠DAB = m∠DA + m∠AB
We know that m∠DA = 84°, therefore,
m∠DAB = 84° + 120°
m∠DAB = 204°
• The final step is to solve for m∠C
m∠DAB is Opposite m∠C
Hence
m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
3 people can fix a road in 5 hours how long would it take 4 people give your answer in minutes
Answer:
Hey there!
1 person can fix 1/3 of the road in 5 hours.
1 person can fix 1/15 of the road in 1 hour.
4 people can fix the road in 15/4, or 3.75 hours.
This is equal to 225 minutes.
Let me know if this helps :)
3 people - 5 h
4 people - x h
[tex]4\cdot x=3\cdot 5\\4x=15\\\\x=\dfrac{15}{4}=3,75[/tex]
3.75 h
Add the matrices to find the answer.
Answer:
[tex]\large \boxed{\mathrm{Option \ C}}[/tex]
Step-by-step explanation:
[tex]{\mathrm{view \ attachment}}[/tex]
Help me its super hard
Answer:
Area: 2 x 10=20
perimeter: 2(2+10)=24
Step-by-step explanation:
Hopefully this helps
Answer:
P = 24
A = 20
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of width + length by 2
P = 2*(10+2)
P = 24 yd
the area is calculated by multiplying width and length
A = 10*2
A = 20
The minimum mark to obtain a Grade A is 75. Cheryn managed to achieve an average of Grade A for three of her English quizzes. What is the minimum mark she scored in her first quiz if scored 76 and 89 marks in her second and third quiz, respectively?
9514 1404 393
Answer:
60
Step-by-step explanation:
Let m represent the mark Cheryn scored on her first quiz. Then her average is ...
(m +76 +89)/3 ≥ 75
m +165 ≥ 225 . . . . . . . . multiply by 3
m ≥ 60 . . . . . . . . . . . . subtract 165
Cheryn scored a minimum of 60 marks on her first quiz.
1) Let f be the function defined by the
graph shown at right, with y = f(x).
a) What is the value of f(-9)?
-14-13-12-)1-10-9
10 11 12
b) How many solutions are there to
the equation f(x) = -2? (Just
state how many there are.)
c) State any and all intervals on which fis decreasing
d State any and all values of x for which fax>0. Ilse intervals to do this
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
B..The discriminant is equal to 0, which means equation has on real number solutions
The discriminant is equal to 0, which means the equation has one real number solution, option B is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The discriminant of a quadratic equation in standard form, ax² + bx + c = 0, is given by the expression b² - 4ac.
The given equation is -2x² = -8x+8
a = -2, b = 8, and c = -8.
Substituting these values into the formula for the discriminant, we get:
b² - 4ac = (8)² - 4(-2)(-8)
= 64 - 64
= 0
Therefore, the discriminant is equal to 0.
When the discriminant is equal to 0, it means that the quadratic equation has one real number solution (a double root) because the quadratic formula will give only one root.
Hence, the discriminant is equal to 0, the equation -2x² = -8x + 8 has one real number solution.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ5
can somebody please help me on this if you know how to solve it is urgent please don’t waste my answers
Answer:
6
Step-by-step explanation:
The angle bisector divides the other segments proportionally. There are many ways the proportion can be written. One is ...
XN/NY = XA/AY
XN = NY×XA/AY = 4 × 18/12
XN = 6
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
O a circle includes its diameter
O the set of points is in a plane
O a circle includes its radius
O the set of points are collinear
Answer:
I can confirm that it is: B, the set of points is in a plane
Step-by-step explanation:
It is right.
A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?
List all the different combinations with total cost:
Airplane + van = 350 + 60 = $410
Airplane + cab = 350 + 40 = $390
Bus + van = 150 + 60 = $210
Bus + cab = 150 + 40 = $190
Train + van = 225 + 60 = $285
Train + cab = 225 + 40 = $265
There are 6 different combinations.
There are 2 that are more than $300
The probability would be quantity higher than 300 / total combinations.
Probability = 2/6 = 1/3
Two of the lights at the local stadium are flickering. They both just flickered at the same time.
One of the lights flickers every 7 seconds and the other light flickers every 8 seconds.
How many seconds until both lights will flicker at the same time again?
seconds
Answer:
56
Step-by-step explanation:
you have to find the LCM of 7 AND 8.
which is 56
Answer:
The answer is 56
Step-by-step explanation:
Find the value of x. Your answer must be exact.
X
12.
600
X=
Answer:
x = 6√3Step-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find x
To find x we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 12
The opposite is x
Substitute the values into the above formula and solve for x
That's
[tex] \sin(60) = \frac{x}{12} [/tex]
[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]
[tex]x = \frac{ \sqrt{3} }{2} \times 12[/tex]
We have the final answer as
x = 6√3Hope this helps you
I forgot everything I learned
Answer:
What do you need help with
Step-by-step explanation:
Do you need help with a specific question? Or with the whole assignment?
What is -15=-4m+5 equal and its two steps problems in HS
Al’s Produce Stand Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost. Then, use each equation to help complete the tables below.
Answer:
5.9998
Step-by-step explanation:
because thats the answer
Which set of ordered pairs is not a function?
1) {(3,1),(2,1),(1,2), (3, 2)} 2) {(4,1),(5,1). (6, 1), (7, 1)}
3) {(1,2), (3,4),(4,5),(5,6)} 4) {(0,0),(1, 1), (2, 2), (3, 3)}
Answer:
Set 1 is not a function
Step-by-step explanation:
You can have the same y value multiple times in a function, but you cannot have repeating x values. In set 1, there are two x values that are the same (3,2) and (3,1), so it is not a function.
find a number such that when 3/4 of it is added to 3.5 the sum is the same as when 2/3 of it is subtracted from 6.5
Answer:
2.1
Step-by-step explanation:
let unknown number be x
3/4x + 3.5= 6.5 - 2/3x
collect like terms
3/4x+2/3x=6.5 - 3.5
17/12x = 3
cross multiply
12 * 3=17x
36=17x
x=36/17
x=2.1