Answer:
42.1 cm
Step-by-step explanation:
The length of the arc is circumference of the circle - length of minor arc GH
circumference of circle = 2 * π * r = 2 * π * 9.1 = 18.2 π cm
The length of the minor arc = angle/360 * 2 * π * r
Now this is tricky, the angle is 360-265 = 95
The length of the minor arc = 95/360 * 2 * π * 9.1 = 4.80 π
Length of major arc = 18.2 π -4.8 π = 13.4 * π = 13.4 * 22/7 = 42.11cm
Find the slope and the y-intercept, then write the equation for the line in slope intercept form ?
Answer:
Slope: 1/3
Y-Intercept: (0,7)
Equation: y = 1/3x + 7
Step-by-step explanation:
If you find a point on the line, you can find the slope by counting the distance from the y-intercept.
Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?
Answer:
1,616.60
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Step-by-step explanation:
What is the slope of the line graphed in the picture
Answer:
-1
Step-by-step explanation:
Take the two points
(-2,4) and (4,-2)
And we can find the slope
m = (y2-y1)/(x2-x1)
= (-2-4)/( 4 - -2)
=(-2-4)/(4+2)
= -6/6
= -1
This one and 1 more !!!
Answer: 30!
Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.
A sphere has a radius of 6. Using 3.14 for pi, what is the volume?
Answer:
v= 904.78
Step-by-step explanation:
Answer:
904.77868423386 feet^3
Step-by-step explanation:
Step one the formula is 4/3 Pie R ^3
Step two you do 4/3 x PI x 6^3
Step three do exponents first so 6x6x6=216
Step four multiply 4/3 x 3.14 which equals 4.187
Step four finally you are going to multiply 216 by 4.187 to get 904.77868423386 feet^3
So the slope of this question is 1, does that mean I leave it as 1 or change it to 0?
Answer:
Keep it as 1.
Step-by-step explanation:
If it is 0 then there is no slope.
Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14
Answer:
1. x=3, y=1
2. x=1, y= 1
3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)
4. x=1 , y=2
Step-by-step explanation:
This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.
I need help with this question
2(y – 3) = 1.2 – y
Solve and explain
Answer:
y ≈ 2.4
Step-by-step explanation:
I need this done please help in the picture
Answer
7.85
but I not sure JutMon21 know the problem
Answer:
I got 7.85
Step-by-step explanation:
First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85
Two terms of an arithmetic sequence are $a_{12}=70$a12=70 and A sub 30 is equal to 124$a_{30}=124$a30=124 . Write an explicit rule for the n$n$n th term
Answer:
Tn = 34+3nStep-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;
[tex]Tn = a+(n-1)d[/tex]
a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n
What are the equivalent ratios of 5/8
Answer:
60/96
Step-by-step explanation:
Answer:
10:16 or 2.5:4
Step-by-step explanation:
sorry if i am wrong
Which prism has a volume of 6 cubic units? A prism has a length of 1 and one-half, height of 1, and width of 3. A prism has a length of 2, height of 1 and one-half, and width of 2. A prism has a length of 1 and one-fourth, height of 1, and width of 4. A prism has a length of 3, height of 1 and one-fourth, and width of 2.
Answer: The second prism with length of 2, height of 1 and one half, and a width of 2.
Step-by-step explanation:
2 * 1.5 * 2= 6
Answer:
B
Step-by-step explanation:
its B
PLEASE HELP !!! ASAP
Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1
Answer:
7
Step-by-step explanation:
used a calculator
The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.
Urgent please solve quickly please!
Solve the system of linear equations by substitution
-x+y=7
6x-y=-7
Answer: x = 0, y = 7
-x+y=7
add x to both sides
y=x+7
plug this in for y in the other equation
6x-(x+7)=-7
simplify
6x-x-7=-7
simplify
5x-7=-7
add 7 to both sides
5x=0
divide both sides by 5
x=0
plug in to one of the equations to find y
-(0)+y=7
y=7
Therefore, x=0 and y=7.
Hope this helps!
Answer:
x = 0. y = 7. (0,7)
Step-by-step explanation:
-x+y=7
+x. +x
y = x +7
6x-y= -7
6x - (x + 7) = -7
6x - x - 7 = -7
5x -7 = -7
+ 7. +7
5x = 0
÷5. ÷5
x = 0
-x + y = 7
0 + y = 7
y = 7
If you answer a question put the number of the question in your answer. Thanks
Answer:
You'll find the answer below each.
Step-by-step explanation:
1-4 you can use this formula: [tex]V=l*h*w[/tex]
1.
[tex]V=l*w*h\\V=(6ft)(4ft)(1ft)\\V=24ft^3[/tex]
2.
[tex]V=l*h*w\\V=(2yd)(\frac{1}{2}yd )(2yd)\\V=2yd^3[/tex]
3.
[tex]V=l*h*w\\V=(12\frac{1}{2}mm)(3mm)(4mm)\\V=150mm^3[/tex]
4.
[tex]V=l*h*w\\V=(2cm)(8.5cm)(2cm)\\V=34cm^3[/tex]
5-7 you need these 2 formulas: [tex]A=\frac{bh}{2}[/tex] and [tex]V=Bh[/tex] or you can use one formula which is: [tex]V=\frac{bh}{2}*h[/tex]
Let me explain. The first formula is for finding the area of the base of the triangle and the second formula is for finding the volume of the prism using the area previously mentioned. The first h is with respect to the triangle and the second h is with respect to the prism.
5.
[tex]V=\frac{bh}{2}*h\\V=\frac{(8in)(6in)}{2}* 18in\\V=\frac{48in^2}{2}*18in\\ V=48in^2*9in\\V=432in^3[/tex]
6.
[tex]V=\frac{bh}{2}*h \\V=\frac{(11m)(5m)}{2}*35m \\V=\frac{55m^2}{2}*35m\\ V=\frac{1925m^3}{2}\\ V=962.50m^3[/tex]
7.
[tex]V=\frac{bh}{2}*h \\V=\frac{(5mm)(8mm)}{2}*12mm\\V=\frac{40mm^2}{2}*12mm\\ V=40mm^2*6mm\\V=240mm^3[/tex]
For the last one, we have a special case.
This formula is a bit odd and long.
[tex]V=\frac{1}{4}h(\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]
a=8yd
b=15yd
c=17yd
h=11yd
[tex]V=\frac{1}{4}(11yd)(\sqrt{-(8yd)^4+2[(8yd)(15yd))]^2+2[(8yd)(17yd)]^2-(15yd)^4+2[(15yd)(17yd)]^2}[/tex][tex]-(17)^4[/tex]
As you can see this is long. I'll just jump to the answer.
Answer: [tex]660yd^3[/tex]
Answer:
He is correct
Step-by-step explanation:
please help i will mark brainly !
Answer:
1 hour and 20 minutes
Step-by-step explanation:
Answer:
Total time taken by Natalie to reach the airport is 1 hour and 20 minutes
Two less than four times a number is less than thirty. Which inequality can be used to find the solution?
Answer:
(4×n)-2<30
Step-by-step explanation:
4xn is 4 times a number
two less= -2
LESS THAN 30, is <
The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given statement is that two less than four times a number is less than thirty.
Let the unknown number be x.
Four times a number is 4x.
Two less than four times a number is 4x - 2.
Two less than four times a number is less than thirty is 4x - 2 < 30.
4x - 2 < 30
Adding both sides with 2,
4x < 32
Dividing both sides by 4,
x < 8
Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.
To learn more about Linear Inequalities, click on the link :
https://brainly.com/question/11897796
#SPJ2
a set of computers that are connected together so that they can share information
Answer:
A computer network
Step-by-step explanation:
I need help please help
Answer:
a) 60 times
b) 0.24
c) 150 times
Step-by-step explanation:
The observed rabbit population on an island is given by the function p(t) =-4t^2+80t+1200, where t is the time, in years, since the teachers began observing the rabbits. According to this quadratic function, after how many years will the rabbit population reach its peak
Answer:
The rabbit population will reach its peak after 10 years.
Step-by-step explanation:
Suppose we have a quadratic function in the following format:
[tex]p(t) = at^{2} + bt + c[/tex]
The vertex of the function is the point:
[tex](t_{v}, p(t_{v})[/tex]
In which
[tex]t_{v} = -\frac{b}{2a}[/tex]
If a is negative, the vertex is a peak.
In this question:
[tex]p(t) = -4t^{2} + 80t + 1200[/tex]
So
[tex]a = -4, b = 80, c = 1200[/tex]
According to this quadratic function, after how many years will the rabbit population reach its peak
This is [tex]t_{v}[/tex]
[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]
The rabbit population will reach its peak after 10 years.
What is the volume of the sphere?
Answer:
V = 523.5987756 Cubic in.
Step-by-step explanation:
The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)
In this case: V = 4 * π * (41.6667)
V = 4 * 130.8996939
V = 523.5987756 cubic inches.
Hope this helps =)
Answer: C
Step-by-step explanation:
5 is the diameter so 2.5 has to be the radius.
The volume of sphere is v=4/3* π *r^3
v= 4/3 * 3.14 * 2.5^3
v= 65.4
Alexa has 2 hours of reading to complete over the weekend. She wants to break up her reading time into 1/2 hour blocks. How many times will she read over the weekend?
All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.
1/2 = 0.5
Divide.
2 / 0.5 = 4
Therefore, Alexa will read 4 times over the weekend.
Best of Luck!
Answer:
4 times
Step-by-step explanation:
1 / 2 = 0.5
2 / 0.5 = 4
Please help me it’s really important to me
Given the following functions, find the indicated values.
Answer: Please provide an image of what you are talking about so that we can help you more.
help me pls working on quizizz :(
here your answer mate
3.25
hope it helps ☺️✌️
Answer:
3.25
Step-by-step explanation:
16/13 = 4/r
16 × r = 13 × 4
16r = 52
r = 52/16 = 3.25
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
[tex]\frac{1}{2}[/tex]x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!
The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measures are 2.5 deg and 177.5 deg.
Step-by-step explanation:
The ratio of the measures of larger angle to the smaller angle is 71:1.
71k + k = 180
72k = 180
k = 180/72
k = 2.5
71k = 71 * 2.5 = 177.5
Answer: The measures are 2.5 deg and 177.5 deg.
Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.
Answer:
[tex]73\%[/tex]
Step-by-step explanation:
Given: Present weight of Caleb’s puppy = 2,250 grams
Puppy weighed 600 grams at his last visit to the veterinarian’s office.
To find: percent increase in the puppy’s weight rounded to the nearest whole number
Solution:
Increase in puppy's weight = 2250 - 600 = 1650 grams
Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]
[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]