The arc length
shown below is 15 feet.
State the equation that relates arc length to central angle.
Find the angle
in radians.
Convert your answer from Part II to degrees and write it to the nearest hundredth of a degree.
Answer:
s = rθ2.5 radians143.24°Step-by-step explanation:
The applicable formula is ...
s = rθ
where s is the arc length, r is the circle's radius, and θ is the central angle in radians.
Filling in the given values, we find ...
15 = 6θ
θ = 15/6 = 2.5 . . . radians
Pi (π) radians is 180°, so the angle in degrees is ...
2.5(180°/π) ≈ 143.24°
Which is a better buy on apples
5lbs. for $5.25 OR 10lbs. for $10.25
Answer:
10lbs. for $10.25
Step-by-step explanation:
A bag contains 27 red marbles, 6 white marbles, and 3 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 144 times. How many white or gray marbles do you expect to get?
If you randomly pick out a marble and replace it 144 times, you can expect white or gray marbles to be chosen.
Answer: 15 Gray or white Marbels!
Step-by-step explanation:
how do I solve for x and y?
Answer:
x=2 y=10
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
15 20
----- = -------------
x+4 8
Using cross products
8*15 = 20 (x+4)
120 = 20(x+4)
Divide each side by 20
120/20 = 20(x+4)/20
6 = x+4
Subtract 4 from each side
6-4 = x+4-4
2 =x
25 20
----- = -------------
y 8
Using cross products
25*8 = 20y
200 =20y
Divide by 20
200/20 = 20y/20
10=y
If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter
Answer:
Perimeter = 36 cm
Step-by-step explanation:
Ratio of sides = 5:4:3
Sides are:
a = 5x ; b= 4x ; c = 3x
Semi perimeter S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2 = 6x
S - a = 6x - 5x = x
S - b = 6x - 4x = 2x
S - c = 6x - 3x = 3x
[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]
sides of triangle:
a = 5x = 5*3 = 15 cm
b = 4x = 4*3 = 12 cm
c = 3x = 3*3 = 9 cm
Perimeter = 15 + 12 + 9 = 36 cm
The circular ring of the fountain has a radius of 9 feet. What is the area of the ring?
Answer:
about 254.47
Step-by-step explanation
Circle are equation: pi(r)^2
pi(9)^2 = 254.47
You have $1000 to invest in two different accounts. In order to save the money you need for college, you need to average 6.6 percent interest. If the two accounts pay 5 percent and 7 percent interest, how much should you invest in each account?
a) $500 in 5%, $500 in 7%
b) $400 in 5%, $600 in 7%
c) $200 in 5%, $800 in 7%
d) $800 in 5%, $200 in 7%
Answer:
a) $500 + $525 = $ 1,025
b) $420 + $642 = $ 1,062
c) $210 + $856 = $ 1,066
d) $840 + $214 = $ 1,056
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
Calculate Accrued Amount (Principal + Interest)
A = P(1 + r/n)^nt
Calculate Principal Amount, solve for P
P = A / (1 + r/n)^nt
Calculate rate of interest in decimal, solve for r
r = n[(A/P)^1/nt - 1]
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Answer:
It's C
Step-by-step explanation:
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:
j = g + 12
if we solve for g:
g = j - 12
which is the same as saying that Gus made 12 number of engine less than Jessie
Answer:
g = x - 12
where x is the number of axles installed by Jessie
Step-by-step explanation:
Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.
As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,
x = g + 12
Such that
g = x - 12
The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket
Answer:
18.75
Step-by-step explanation:
75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75
15 POINTS. AND I WILL MARK BRAINLIEST!!!!
what is the angle of rotation symmetry for a shape that has rotational symmetry of order 5?
Answer: 72 degrees
Step-by-step explanation:
Rhonda used unit cubes to make a rectangular prism. What is the volume of the prism? Prism with length as 7 unit cubes, height as 3 unit cubes and width as 2 unit cubes. A. 14 cubic units B. 21 cubic units C. 42 cubic units D. 63 cubic units
Answer:
42 cubic units
Step-by-step explanation:
A rectangle prism formula is V = l x h x w.
The length is 7
The height is 3
The width is 2
Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42
The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the rectangular prism is given as,
V = length × height × width
Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.
V = 7 x 3 x 2 = 42 units³.
Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".
To learn more about volume,
https://brainly.com/question/1578538
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Hello i need help i only have 20 minutes help mee
Answer:
The first one
Step-by-step explanation:
Do you really want an explanation :v
Answer:
Can’t really see the end of the question but if it is 3/w it is most likely
c
Step-by-step explanation:
can someone tell me how to do this
Answer:
must not be
Step-by-step explanation:
The whole thing equals 360 degrees
Angle B and Angle D are equal; which equals 190 degrees.
Add Angle A to 190 degrees; which is 86 + 190 = 276.
Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.
In order for this to be a parallelogram, the opposite angles need to be equal.
Since they are not, the answer is must not be.
Un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros ¿ cuantos litros de perfume se han de fabricar para llenar 1.000 frascos?
Answer:
Se debe fabricar 150 litros para llenar 1.000 frascos
Step-by-step explanation:
Segun los datos en el ejercicio un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros.
Para saber cuantos litros de perfume se han de fabricar para llenar 1.000 frascos hay que multiplicar la capacidad de los frascos por el número de frascos con el siguiente calculo:
litros de perfume se han de fabricar para llenar 1.000 frascos=(1,000/20) x 3
litros de perfume=50 x3
litros de perfume=150
Se debe fabricar 150 litros para llenar 1.000 frascos
Solve this equation.What is the length of x?
Answer:
6. 12.5 cm
7. 0.7241
Step-by-step explanation:
6.
You have 2 right triangles. You can use the Pythagorean theorem for each one.
a^2 + b^2 = c^2
Let y = length of vertical side between triangles.
Left triangle:
5^2 + y^2 = 13^2
25 + y^2 = 169
y^2 = 144
y = 12
Right triangle:
3.5^2 + 12^2 = x^2
12.25 + 144 = x^2
x^2 = 156.25
x = 12.5
Answer: x 12.5 cm
7.
For <X, 2.0 ft is adj leg. 2.9 ft is hyp.
cos X = 2.0/2.9 = 0.6897
X = cos^1 0.6897 = 46.397 deg
sin X = sin 46.397 deg = 0.7241
Which expression is equivalent to 2.2 - 2.5?
A 2.5 - 2.2
B 2.2 + 2.5
C 2.2+(-2.5)
D 2.2 - (-2.5)
Answer:
C
Step-by-step explanation:
2.2-2.5
Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.
I NEED HELP FAST, 20POINTS
Which of the following statements is true?
| A | < | D |
A + B = D
C ≥ D
| B | > C
Answer:
| A | < | D |
Step-by-step explanation:
| A | is going to be 4 units since A = -4
| D | i sgoing to be 3 units since D = 3
Answer:
The answer is |A|< |D|
Step-by-step explanation:
Just did it and it was right
Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.
Answer:
15.1
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
23^2 + b^2 = 27.5^2
529 +b^2 =756.25
Subtract 529 from each side
529-529+b^2 =756.25-529
b^2 =227.25
Take the square root of each side
b =sqrt(227.25)
b =15.07481343
To the nearest tenth
b = 15.1
Answer:
15.1
Step-by-step explanation:
Solve algebraically
x-4y=-10
x+y=5
Answer:
if x+y=5, then x=5-y
so x-4y=-10
5-y-4y=-10
5-5y=-10
-5y=-15
y=3
x=5-y
x=5-3
x=2
x=2; y=3
Please help me now plz I promise I will mark you brainliest
Answer:
C. Outside the circle
I hope this helps
A jar contains 666 red jelly beans, 444 green jelly beans, and 444 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be blue and the second will be blue as well?
Answer:
Step-by-step explanation:
P(first blue) = 444/ 1554
P(second blue) = 443/1553
P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08
State the degree of each expression.
1) 10x10 + x
Answer:
10x10x10
Step-by-step explanation:
Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. if im not right i tried to fix the math question
What is the equation of a line passing through 1,2 and -2,5
Answer:
y=-1x+3
Step-by-step explanation:
2-5/1+2
-3/3
-1
y=-1x+b
2=-1+b
b=3
y=-1x+3
FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is (5 x 3 ) + 10
Answer:
25
Step-by-step explanation:
5 x3 is 15 and then add 10. im sure u know that but yea
The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
A. (x - 2)2 + (y + 4)2 = 34
B. (x - 2)2 + (y + 4)2 = 136
C. (x + 2)2 + (-4)2 = 34
D. (x + 2)2 + (-4)2 = 136
Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
[tex]x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}[/tex]
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Daniel cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 45 inches. How long is each side of the original square cake?
Answer:
15 inches
Step-by-step explanation:
As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:
2*Length + 2*Width = 45
Length = 2*Width
So using the value of length in the first equation, we have:
4*Width + 2*Width = 45
6*Width = 45
Width = 7.5
Length = 2*Width = 15
So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.
A sphere-shaped beach ball is 16 inches in diameter. How many cubic inches of air will the ball hold when it is fully inflated? Use 3.14 for π. Round your answer to the nearest tenth.
a.682.7 cubic inches
b.2,143.6 cubic inches
c.5,461.3 cubic inches
d.17,148.6 cubic inches
Identify the outlier of the data set.
3,4,4,5,5,6,6,7,7,7,8,20
a
20
b
8
oooo
C
6.8
d
3
Answer:
a.20
Step-by-step explanation:
20 is standing out from the rest of the numbers
please answer this. 20 points
Answer:
figure ii
Step-by-step explanation:
counterclockwise is this way >>>
thus making figure 2 the version of circle A spun counterclockwise
Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!
Answer:
[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]
Step-by-step explanation
The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]
Answer:
-5 ± sqrt(73))
----------------------------
4
Step-by-step explanation:
2x^2 +5x =6
Subtract 6 from each side
2x^2 +5x -6 =0
This is in the form
ax^2 +bx+c where a=2 b=5 and c=-6
The quadratic is -b ± sqrt(b^2 -4ac)
----------------------------
2a
-5 ± sqrt(5^2 -4(2)(-6))
----------------------------
2(2)
-5 ±sqrt(25 +48))
----------------------------
4
-5 ± sqrt(73))
----------------------------
4