Answer:
13
Step-by-step explanation:
you are given point A with co-ordinate(0;12) and B (5;0)
length=[tex]\sqrt{(yb-ya)^{2} +(xb-xa)^{2} }[/tex]
=[tex]\sqrt{(0-12)^{2}+(5-0)^{2} }[/tex]
=[tex]\sqrt{(-12)^{2}+(5)^{2} }[/tex]
=[tex]\sqrt{144+25}[/tex]
=[tex]\sqrt{169}[/tex]
=13
A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Answer:
[tex]\frac{7\pi}{4}[/tex].
Step-by-step explanation:
Given information:
Radius of circle = 8 cm
Area of sector = [tex]56\pi\text{ cm}^2[/tex]
Formula for area of sector is
[tex]A=\dfrac{1}{2}\theta r^2[/tex]
where, r is radius and [tex]\theta[/tex] is central angle in radian.
Substitute [tex]A=56\pi[/tex] and r=8 in the above formula.
[tex]56\pi=\dfrac{1}{2}\theta (8)^2[/tex]
[tex]56\pi=\dfrac{64}{2}\theta[/tex]
[tex]56\pi=32\theta[/tex]
[tex]\dfrac{56\pi}{32}=\theta[/tex]
[tex]\dfrac{7\pi}{4}=\theta[/tex]
Therefore, the measure of the sector in radians is [tex]\frac{7\pi}{4}[/tex].
What is the surface area of this figure?
Answer:
328
Step-by-step explanation:
PLEASE!!!
A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase.
9. The standard deviation of X is
a. 22.91.
b. 27.39.
c. 5255.
d. 750.
10. The probability that X is at least 800 is
a. less than 0.0001.
b. about 0.015.
c. 0.025.
d. 0.05.
Answer:
Step-by-step explanation:
a) Total number of people surveyed, n = 2500
Let X denote the number in the sample that say they support the increase. If 30% of all adults in Ohio support the increase, it means that the percentage of all adults in Ohio that did not support the increase is
100 - 30 = 70%
This is a binomial probability because there are only two possible outcomes. Therefore,
Probability of success, p = 30/100 = 0.3
Probability of failure, q = 1 - p = 1 - 0.3
q = 0.7
Standard deviation = √npq
Standard deviation = √(2500 × 0.3 × 0.7) = 22.91
b) The probability that x is at least 800 is expressed as
P(x ≥ 800)
We would determine the probability by using the binomial probability calculator. Therefore,
P(x ≥ 800) = 0.01577
b. about 0.015.
What is 3 1/2 times 2 4/5
Answer:
9 4/5
Step-by-step explanation:
You can rewrite them into decimal. It would be 3.5 times 2.8 and you get 9.8 or 9 4/5
Answer:
49 /5 = 9.8
Step-by-step explanation:
Read the lines from Langston Hughes's poem ", Too, Sing America."
Tomorrow,
I'll be at the table
When company comes.
The lines promoted social change in the United States in the first half of the twentieth century because they spoke about
Ob
equal rights for African Americans.
European Americans' views of African Americans.
parties hosted by European Americans.
African Americans working as servants.
Od
Answer:
Answer: D) equal rights for African Americans
Step-by-step explanation:
Can anyone help explain this to me lol-
-Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.
7.4 cm, 8.1 cm, 9.8 cm
A.unique triangle
B.many different triangles
C.no triangles
Thanks to anyone who helps-
Answer:
Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles. ^‿^
hi what is the answer
Answer:
A= 36π mm²
Step-by-step explanation:
Area of circle = πr² where radius= 6mm
A = π(6)²
A= 36π mm²
What is the inverse function of f(x) = 4x + 3?
Answer:
f(x)=(x-3)/4
Step-by-step explanation:
To find the inverse of a function, I like to flip the x and the y, and then try to isolate the y. In this case:
x=4y+3
x-3=4y
y=(x-3)/4
Hope this helps!
AL
What is the measure of <R?
74°
92
R
B
Do
Answer:
74
Step-by-step explanation:
It would be 74 because use the concept of vertical angels to help you find out whatm it is going to be.
Hope this helps!
is this correct? it might be hard to read tho
what is the quotient of the equation Below in simplest form? State any restrictions on the variable
Answer:
A
Step-by-step explanation:
Factor the numerators/ denominators where possible, that is
[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]
Cancel the factors (x - 5) and (x + 4) from numerator/denominator
= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]
= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3
From the moment the first car started how many hours will it take the second car to catch up to the first
Answer:
HELP
Step-by-step explanation:
30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.
What is “rate of change”? Hint: it’s NOT “y=mx+b.” What term (begins with an S!) is it very closely related to?
Answer:
Standard Form
Step-by-step explanation:
Answer:
Rate of change refers to the change in one variable (i.e. independent variable) as a result of a change in another (i.e. dependant variable). A very common example is speed as it refers to the change in distance per a change in time. Graphically representing the relationship between two variables, the rate of change will be the gradient or slope of the graph.
hannah made 0.7 of her free throws in a basketball game.abbrahmade 9/10 of her free throws.dinah made 3/4 of her free throws. who is the best shooter. EXPLAIN!!
Answer:
Abbrah is the best shooter.
Step-by-step explanation:
Hannah made 0.7 which is equal to 70 out of 100 shots.
Dinah made 3/4 which is equal to 75 out of 100 shots.
Abbrah made 9/10 shots which is equal to 90 out of 100 shots.
Answer:
Abbrah is the best shooter
Step-by-step explanation:
please help im having trouble with these problems
Answer:
B I think
Step-by-step explanation:
what is the answer to -12= -2x-4x
Answer:
x = 2
Step-by-step explanation:
-12 = -2x - 4x
-12 = - 6x
x = -12/(-6) = 2
Answer:
Step-by-step explanation:
In ΔIJK, the measure of ∠K=90°, the measure of ∠J=76°, and JK = 3.6 feet. Find the length of IJ to the nearest tenth of a foot.
BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
551.7
Step-by-step explanation:
it is the square + the circle
15*25+πr²
375+π(15/2)²
375+π225/4
375+176.625=551.625
Answer:
E) 551.7 ft Squared
Step-by-step explanation:
First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle. Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together. 375 + 176.7 = 551.7
Is this an expression or an equation ?
Answer: expression
Step-by-step explanation: An equation is a mathematical sentence that contains an equal sign. Since this problem contains no equal sign at all, it can't be an equation so it's considered an expression.
Which is the coldest temperature? Explain how you determined this using the number line.
Answer:
The coldest temperature would be -4 °F, because it is the farthest number on the left side of zero on the number line.
write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST
Answer:
y = (3/2)x + 3
Step-by-step explanation:
slope is rise over run so 3 up and, 2 right
y-intercept is at (3,0)
How is the distributive property used when multiplying two binomials
Answer:
Step-by-step explanation:
When multiplying a binomial times a binomial, each term of the first binomial must be multiplied by each term of the second binomial. Like terms are then combined.
When multiplying two binomials, four multiplications must take place. These multiplications can occur in any order, as long as each of the first two terms is multiplied by each of the second two terms.
There are numerous ways to set up the multiplication of two binomials. The two basic formats, horizontal line-up and vertical line-up, are similar to what we saw in adding and subtracting polynomials. Let's investigate the simple product (x + 2)(x + 4) with a variety of set-ups. Start with the first term of the first binomial (the blue x).
• Distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).
• Then take the second term in the first binomial (including its sign: +2) and distribute (multiply) this term times EACH of the terms in the second binomial (x + 4).
• Add the results, combining like terms when needed.
• This method will work with all polynomials, not just binomials times binomials.
Answer:
Distributive.
Step-by-step explanation:
I did the quiz.
Math question down below
Answer:
answer is A.
Step-by-step explanation:
divide price by amount of kg to see how much it cost per kg. Find the lowest answer by doing this to all answers. Don't forget to round to the nearest cent!
What is the equation of the line that passes through (4, 3) and (-4, -1)?
y = 2 x + 7
y = + 1
2 x + 1
y = + 7
help please, Find the perimeter of the figure to the nearest hundredth.
Answer:
[tex]p=38.84[/tex]
Step-by-step explanation:
Since there are two half circles, we just need to work to find the perimeter of a whole circle. The formula for the perimeter (circumference) of a circle:
[tex]C=2\pi r[/tex]
We need to know the radius to find the circumference. By studying the figure, we know that the length of the entire shape is 12 ft. We also know that on either side of the half circles, the length is 3 ft. If we divide 12 by 3, we see that the total length of 12 ft can be broken into 4 parts, each measuring 3 ft. The radius is half the diameter, so the radius is 3. Insert the values:
[tex]C=2*3.14*3[/tex]
Simplify:
[tex]C=18.84[/tex]
Now add the values of the exposed parts of the rectangle:
[tex]18.84+3+3+3+3+3+3=36.84[/tex]
The perimeter is 36.84.
:Done
Model 4 + (-6) on the number line.
-4
-5
-6
--10-9
-8
3
- 2
1
--7
0
4
7
1
2
5
3
6
9
8
10
Answer:
The answer is -2
Step-by-step explanation:
start at 4 and go to the left six times
4+(-6)=4-6=-2
solve for the value of each letter.
1. 6x + 10 = 28
2. -2m - 4 = 8
3. x + x + 2x = 48
4. 3y + 4 + 3y - 6 = 34
5. 9( w - 6 ) = 36
6. -5 ( t + 3 ) = -30
7. 5z + 2 = 3z - 10
8. 11 + 3x + x = 2x - 11
9. -5 ( n -1 ) = 7 ( n + 3 )
10.-3 (c - 4 ) -2c - 8 = 9 ( c + 2 ) + 1
Answer:
Step-by-step explanation:
1] 6x + 10 = 28 {subtract 10 from both sides}
6x + 10 -10 = 28 - 10
6x = 18 {Divide both sides by 6}
6x/6 = 18/6
x = 3
2] -2m - 4 = 8 {Add 4 to both side}
-2m - 4 + 4 = 8 + 4
-2m = 12 {Divide both sides by -2}
-2m/-2 = 12/-2
m = -6
3] x + x + 2x = 48 {add the like terms}
4x = 48 {divide both sides by 4}
4x/4 = 48/4
x = 12
4] 3y +4 +3y - 6 = 34 {add the like terms}
6y - 2 = 34 {Add 2 to both side}
6y - 2 + 2 = 34 +2
6y = 36 {divide both sides by 6}
6y/6 = 36/6
y = 6
5]9(w - 6) = 36 {divide both sides by 9}
[9(w - 6)]/9 = 36/9
w - 6 = 4 {Add 6 to both sides}
w - 6 + 6 = 4 + 6
w = 10
Answer:
w = 10
Step-by-step explanation:
You first mutlply like terms and then add it up
You are assigned a computer generated 4-digit password to access your new voice mail account. If the
digits can not be repeated, how many passwords are possible?
b
34 different passwords are possible
5,040 different passwords are possible
40 different passwords are possible
10,000 different passwords are possible
d
Answer:
5,040 different passwords are possible
Step-by-step explanation:
Assuming that 4-digit means using only numeric values.
This is a permutations problem.
n = number of values used with number values only this is 10
r = the number used in each case without repeating in this case 4
nPr = n! / (n - r)!
nPr = 10! / (10-4)!
nPr = 10! / 6!
The ! means factorial. For example 4! = 4 x 3 x 2 x 1 = 24
A quick hack for dividing factorials is to use cancelling.
10! / 6! = 10 x 9 x 8 x 7 (because 6 to 1 are cancelled by 6!)
= 5040
A cube has an edge measuring 6 cm. Find its volume.
Answer:
216
Step-by-step explanation:
Hope this helps.
Answer:
Side of cube = 6 cm
Volume = side ^3 = 6^3 = 216 cm^2