Answer:
[tex]\theta=\dfrac{7}{4}\ \text{radian}[/tex]
Step-by-step explanation:
We have,
Radius of the circle is 12 cm
Arc length, l = 21 cm
It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :
[tex]l=r\times \theta[/tex]
[tex]\theta[/tex] is central angle
[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}[/tex]
So, the angle at the centre of the circle is [tex]\dfrac{7}{4}\ \text{radian}[/tex].
The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 8th term be?
A pattern showing the square term number rule. The first term has one dot. The second term has four dots. The third term has nine dots. The fourth term has sixteen dots.
A. 36
B. 49
C. 64
D. 81
Answer:
64 dots
Step-by-step explanation:
theres a pattern
the number of terms is always multiplied by itself for Instance 4 terms= 16 dots 4×4=16
Answer:
64bdots I believe
Step-by-step explanation:
i Don't know how to explain this :(
3. Find the volume of the pyramid.
7 cm
3 cm
1 cm
Answer:
7
Step-by-step explanation:
V=lwh
3=7·3·1
3=7
PLZZ HELP ASAP The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
Answer:
Step-by-step explanation:Sorry my answer thing isn't working. But the answer is the first one.
Answer:
a
Step-by-step explanation:
PLEASE HELP!!!!!!!!!
A right triangle has side lengths 5 , 12 , and 13 as shown below. Use these lengths to find tanX , cosX , and sinX
Answer:
[tex]$\text{sin}(x)=\frac{12}{13} $[/tex]
[tex]$\text{cos}(x)=\frac{5}{13} $[/tex]
[tex]$\text{tan}(x)=\frac{12}{5} $[/tex]
Step-by-step explanation:
Consider:
[tex]$\text{sin}(x)=\frac{\text{Opposite}}{\text{Hypotenuse}} $[/tex]
[tex]$\text{cos}(x)=\frac{\text{Adjacent}}{\text{Hypotenuse}} $[/tex]
[tex]$\text{tan}(x)=\frac{\text{Opposite}}{\text{Adjacent}} $[/tex]
I will apply adjacent side to angle [tex]x[/tex] as 5. and opposite side to angle [tex]x[/tex] as 12.
So,
[tex]$\text{sin}(x)=\frac{12}{13} $[/tex]
[tex]$\text{cos}(x)=\frac{5}{13} $[/tex]
[tex]$\text{tan}(x)=\frac{12}{5} $[/tex]
tan x 5
12
sin x 5
13
cos x 12
13
this is the correct answer
You are measuring the height of a Ferris wheel at an amusement
park. You are standing 125 feet from its base. You measure the angle
of elevation from a point on the ground to the top of the Ferris wheel
to be 51°. Estimate the height of the Ferris wheel. Round your
answer to the nearest foot.
Answer:
154 ft
Step-by-step explanation:
A right triangle is formed, where the height of the wheel (h) is one leg, the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)
From definition:
tan(51°) = opposite/adjacent
tan(51°) = h/125
h = tan(51°)*125
h = 154 ft
A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
contains 87 lbs of corn on the first day of the month. If corn is bought in 40-lb
bags, which inequality can be used to calculate how many bags of corn, x, are
needed for the month?
Answer:
x≥(500-87)/40
Step-by-step explanation:
You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.
Formula to find the surface area of a triangular prism
Step-by-step explanation:
In the mensuration of a triangular prism we can find the total surface area by solving for the areas of individual shape.
The triangular prism consist of
1. three rectangular surfaces
2. two triangular surfaces.
Hence the total surface area is the sum of the areas of the rectangular surface
= [tex](l* w) +( l*w)+(l*w)\\[/tex]
and the sum of all areas of triangular surfaces
= [tex](\frac{1}{2}bh) + (\frac{1}{2}bh)[/tex]
In summary just find the area of each shape and add them together.
the cylinder has a base radius of 100cm
the height of cylinder is 250cm
1liter=1000cm^3
how many litters of oil are in the rank
round the answer to the nearest liter
Answer:
3927 litres
Step-by-step explanation:
V=hpir²
1/2 full
Vcylinderthisone=(1/2)hpir^2
given
h=250
r=100
So...
V=(1/2)(250)pi(100)²
V=125pi10000
V=1250000pi
aprox pi=3.141592
V=3926990 cm^3
divide by 1000
3926.99 liters
about 3927 litres
Which of the following equations is an example of a direct variation?
y = 3
x + 2y = 6
x = 4
y = 3.14 x
Answer:
ummm, I'm not sure but I think that it's the second or the last one.
Sally wants to purchase a new car, and its price is $35,000. Since Sally does not have enough money, she would like to get a loan from Sun Trust Bank with a simple interest rate of 4.5% for 6 years. What is the final cost of her new car?
Answer:
The formula to calculate the final cost of Sally's new car:
C = 35000 x (1 + 4.5/100)^6 = 45579.1 dollar
Hope this helps!
:)
Find three solutions for the linear equation 4x −3y = 1, and plot the solutions as points on a coordinate plane.
Answer:
(1, 1), (2, 2.333) and (3, 3.666).
Step-by-step explanation:
To find solutions for this equation, we can just choose values for x and then calculate the values of y.
So, for x = 1, we have:
4*1 - 3y = 1
3y = 3
y = 1
For x = 2, we have:
4*2 - 3y = 1
3y = 7
y = 2.333
For x = 3, we have:
4*3 - 3y = 1
3y = 11
y = 3.666
The points we need to plot is (1, 1), (2, 2.333) and (3, 3.666).
Check the image attached for the plot.
Three solutions for the linear equation are: (0, -0.333), (1,1) and (3, 3.667).
The graph is given at the end of this answer.
-----------------------------
The equation is:
[tex]4x - 3y = 1[/tex]
In slope-intercept formula, we have that:
[tex]3y = 4x - 1[/tex]
[tex]y = \frac{4}{3}x - \frac{1}{3}[/tex]
Thus, the solutions are given by the following pairs of points: [tex](x, \frac{4}{3}x - \frac{1}{3})[/tex]
-----------------------------
For x = 0, we have that [tex]y = \frac{4}{3}(0) - \frac{1}{3} = -\frac{1}{3} = -0.333[/tex], thus, one solution is (0, -0.333).
For x = 1, we have that [tex]y = \frac{4}{3}(1) - \frac{1}{3} = \frac{3}{3} = 1[/tex], thus, one solution is (1,1).
For x = 3, we have that [tex]y = \frac{4}{3}(3) - \frac{1}{3} = \frac{11}{3} = 3.667[/tex], thus, one solution is (3, 3.667).
These solutions are labeled on the graph given at the end of this answer.
A similar problem is given at https://brainly.com/question/16768849
Solve the equation for y.
6 = 4x +9y
Answer:
y = (6-4x) / 9
Step-by-step explanation:
6 = 4x+9y
Subtracting 4x to both sides
6 - 4x = 9y
Now dividing both sides by 9
We'll get
(6-4x)/9 = y
OR
y = (6-4x) / 9
Answer:
y = 2/3 - 4x/9
Step-by-step explanation:
6 = 4x + 9y
you have to isolate the 9y soo, subtract 4x on both sides
6 - 4x = 9y
now, divide both sides by 9
6/9 - 4x/9 = y
simplify!
2/3 - 4x/9 = y
Chris is completing his chores. He has two chores remaining: dusting and vacuuming. Chris is having trouble deciding which chore to complete first. Which of the following best describes a method of assuring that each chore has a fair chance of being selected to complete first?
A.
There is no way to assure that each chore has a fair chance of being selected to be completed first.
B.
Roll an ordinary die. If the die lands on an even number, dust first. If the die lands on an odd number, vacuum first.
C.
Flip a fair coin two times. If the coin lands on heads on both flips, dust first. If the coin lands on tails on both flips, vacuum first. If the coin lands on a heads on the first flip and tails on the second flip, vacuum first. If the coin lands on tails on the first flip and heads on the second flip, flip again.
D.
Roll an ordinary die. If the die lands on one, dust first. If the die lands on two, vacuum first. If the dies lands on three, dust first. If the die lands on four, five, or six, roll again.
Answer: c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Solve everything else first. Then come back to A.
B. 1, 3, 5 and 2, 4, 6 are both consisting of 3 numbers. Fair
C. HH=dust TT=vacuum HT=vacuum TH=flip Not fair
D. 1=dust 2=vacuum 3=dust 4, 5, 6=roll Not fair
B is the answer
Please mark as Brainliest! :)
Have a nice day.
What is the graph of y^2/16+x^2/9=1
Answer:
is c
Step-by-step explanation:
use math way if you have any doubts
Answer:
the correct graph is graph c.
Step-by-step explanation:
i did the asignment on edg
Help me ASAP and I will give you brainliest plzzzzzzzzzz
Find the perimeter of the triangle.
Answer:
7n+14
Step-by-step explanation:
Use right triangle ABC. The figure is for reference only and is not drawn to scale. In a 30-60-90 triangle, the shorter leg had a length of 8. What is the length of the longer leg?
Answer:
In a 30 60 90 triangle, the longer leg = shorter leg * square root (3)
longer leg = 8 * square root (3) = 8 * 1.7320508076
= 13.8564064606
Step-by-step explanation:
The scale on a map shows that 5 centimeters = 2 kilometers. What number of centimeters on the map represents an actual distance of 5 kilometers?
A. 50 cm
B. 12.5 cm
C. 10.5 cm
D. 2 cm
Given that 5 centimeters equals 2 kilometers, we are asked to find how many centimeters equals to 5 kilometers.
So, we know the rate is 5 centimeters is equal to 2 kilometers.
We should find out how many centimeters equals 1 kilometer.
To do this, we can divide 5 centimeters by 2 to find out how many centimeters is 1 kilometer.
5/2 = 2.5
So, the new rate is 2.5cm = 1km.
Then, all we need to do is multiply the new rate by 5 to find out how many centimeters is 5 kilometers.
5 x 2.5 = 12.5
Therefore, 12.5 centimeters equals a distance of 5 kilometers.
Answer:
B.
Step-by-step explanation:
2 kilometer = 5 cm
And
5 km = ? cm
Using unitary method
2 km = 5 cm
1 km = 5/2 cm
1 km = 2.5 cm
Now
Multiplying both sides by 5 we'll get:
5 km = 2.5 × 5 cm
5 km = 12.5 cm
help me with number 3 pleaseee
Answer:
$25.65
Step-by-step explanation:
135 (19%)
$25.65
Which of the following equations is an example of a quadratic equation? y = |6 x| y = 9 y = x - 5 y = x 2 - 5
Solve the following equation algebraically: x squared = 12
Answer:
x=3.46
Step-by-step explanation:
Answer:
-3.4641 and 3.4641 or x= -2√3 and x= 2√3
Step-by-step explanation:
x²=12 take the square root of both sides
x=±2√3 separate the solutions
x= -2√3 or x= 2√3 solve
x= -3.4641 or x=3.4641
A glass of cold milk is sitting on the counter, warming up to room temperature. Currently, the milk is 10°C below room temperature. However, that temperature difference is shrinking by 10% every minute. What will the temperature difference be in 14 minutes?
Answer:
I think it's 8.6 or 1.4
Step-by-step explanation:
Turn 10% into a decimal form... .10
.10 x 14 = 1.4
10 - 1.4 = 8.6
Idk oof
Answer:
10.7 Celsius
Step-by-step explanation:
I did it on IXL
find the value of x
Answer:
Step-by-step explanation:
5
1. 3x + 7 = 13 (x = -2; x = 2; x = 5)
Answer: x=2
Step-by-step explanation:
I am assuming you are asking which x fits the equation. To see if x works for the equation, you would plug it in.
x=-2
3(-2)+7=13
-6+7=13
1≠13
x=2
3(2)+7=13
6+7=13
13=13
x=5
3(5)+7=13
15+7=13
22≠13
Surface area and volume
I need help like frfr
Before today over . Someone help me
Answer:
The answer is 49
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
HELPING ON OTHER OF YOUR PROBLEMS
A rational number is the..........
of two........
while a rational expression is a......... of two.........
Answer:
A rational number is the QUOTIENT of two INTEGERS while a rational expression is a QUOTIENT of two FUNCTIONS.
Hope this helps!
:)
Answer:
quotient
integers
quotient
functions
Step-by-step explanation:
K is the midpoint of JL
JK 2x + 4 and
KL = 4x - 8
Find JL.
Step-by-step explanation:
If K is the midpoint of JL, then JK and KL will be congruent to each other because a midpoint divides a line into two congruent segments.
JK ≅ KL
Now, let's add in the expressions.
2x + 4 = 4x - 8
-2x + 4 = -8
-2x = -12
x = 6
So, the value of x is equal to 6. Since JK is congruent to KL, then we can plug in x for one of the equations and multiply that answer by 2 so we can find the measurement of JL.
JK = 2(6) + 4
JK = 12 + 4
JK = 16
16 * 2 = 32
So, the measurement of JL is equal to 32.
Please help me I need this done not a lot of work but please get it done with good credit for good rating and reward!
Answer:
1. Diameter
2. more than 1 but less than 2
3. ans: 3.14
4. ans: 3.142
5. 33.7 inches
6. a) 100.57 b) 2.36 (2 dp) c) 236.66 d) 113.14 e)20.11
f) 86.11
HELP ME PLEASE ASAP.
400 ml of squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?
give your answer in the simplest form.
Answer:
Fraction of drink that is water = = 0.875 = 87.5 %
Explanation:
400 ml of squash is made by mixing 50 ml of cordial with water.
Total volume of squash = 400 ml
Total volume of cordial = 50 ml
Total volume of water = 400 - 50 = 350 ml
Fraction of drink that is water = Volume of water/ Volume of squash
= 350/400
= 7/8
= 0.875 = 87.5 %
And I see ur profile pic of a gachaverse character I love gacha