Answer:
A = 90.25 pi ft^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi* r
19pi = 2 * pi * r
Divide each side by 2pi
19pi/2pi = 2 * pi *r/2pi
9.5 = r
Now find the area
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi ft^2
Answer:
Step-by-step explanation:
Circumference is found in
[tex]C=2\pi r[/tex] while area is [tex]A=\pi r^2[/tex]
Since we know the circumference value, we can plug it in and solve for r:
Since [tex]C=2\pi r[/tex] and [tex]C=19\pi[/tex] , then
[tex]19\pi=2\pi r[/tex] and
[tex]\frac{19\pi}{2\pi}=r[/tex] The pi's cancel out, leaving us with the fact that
[tex]r=\frac{19}{2}=9.5[/tex]
We will use that now in the area formula:
[tex]A=\pi(9.5)^2[/tex] so
A = 90.25π
6.1 1 a) and b) Let x be a string of length n, and let y be a string of length n − k, for 1 ≤ k < n. We wish to line up the symbols in x with the symbols in y by adding k blanks to y. a) Suppose that we decide to add the k blanks in one continuous block. How many ways are there to do this? b) Suppose that we add two separate blocks of blanks, one of size i and one of size k − i, for 1 ≤ i < k. How many ways are there to do this?
Answer:
A) N-k+1 possible ways
B) 8 ways ( different outcomes )
Step-by-step explanation:
A) length of X = n
length of Y = n - k
number of ways to add k blanks in one continuous block
that would be n - k +1 and this because since we already have n-k blanks in y already
B ) how many ways to add two separate blocks of blanks
one size is ; i
one size ; k - i
The number of ways will be 8 since the block of blanks are separated into two blocks
HELP ME PLEASE PLEASE IM BEGGING
Answer:
FALSE, (2, 9) is not a solution to the set of inequalities given.
Step-by-step explanation:
Simply replace x by 2 and y by 9 in the inequalities and see if the inequality is true or not:
irst inequality:
[tex]y\geq 4x\\9\geq 4\,(2)\\9\geq 8[/tex]
so thi inequality is verified as true since 9 is larger or equal than 8
Now the second inequality:
[tex]y<x+2\\9<(2)+2\\9<4[/tex]
This is FALSE since 9 is larger than 4 (not smaller)
Therefore the answer to the question is FALSE, (2, 9) is not a solution to the set of inequalities given.
This is probbaility, please just help me. i've been stuck forever!
Your answer would be 0.14 to the nearest hundredth.
The question P(Walk to school | Senior) is asking for the probability that a student walks to school given that they're a senior. Therefore we have to count how many total senior students there are, which is 35.
To form the probability, we then need to see how many of these 35 students walk to school, which we're given as 5. Thus, the probability is 5/35 which simplifies to 1/7.
1/7 as a decimal is 0.1429, which, when rounded to the nearest hundredth, gives us 0.14.
I hope this helps! Let me know if you have any questions :)
Match each polynomial expression to its additive inverse.
6x²-x-2
6x2 - x+2
6x2 - x+2
6x2 + x + 2
6x²+x-2
6x2 + x-2
6x2+x-2
-6,2-x+2
Answer:
Step-by-step explanation:
To find the additive inverse of polynomial expression, flip the sign of each term.
6x² ----> -6x²
-x -----> +x
-2 -----> +2
Additive inverse:
-6x² + x + 2
Which expression can be used to determine the slope of the linear function represented in the table?
X
0
y
5
9
4
9-5
4-0
4-0
O9-5
5-0
9-4
.
9-4
Answer:
Option (1)
Step-by-step explanation:
This question is incomplete; find the complete question in the attachment.
Given table represents a linear function.
Two ordered pairs given in the table (0, 5) and (4, 9) pass through the function .
If the two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] lie on a line,
Slope of the line will be = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the linear function represented by the table = [tex]\frac{9-5}{4-0}[/tex]
Therefore, Option (1) will be the correct option.
Onsider two concentric circles, one with radius r1 and the second with radius r2, where r1>r2. Suppose a line t is tangent to the circle with radius r1. How many points are in the intersection of t and the circle with radius r2
Answer:
0
Step-by-step explanation:
A tangent line is a line that touches the circle's circumference at only one point.
Given two concentric circles one with radius [tex]r_1[/tex] and the second with radius [tex]r_2[/tex], and [tex]r_1>r_2[/tex]. SInce [tex]r_2[/tex] is inside the smaller circle, there is no way it would intersect with the tangent line t.
Therefore, there are no points of intersection between the tangent line t and [tex]r_2[/tex] .
In the triangles, HG = MP and GK = PN. Triangles H G K and M P N are shown. Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters. Sides H G and M P are congruent. Sides G K and P N are congruent. Which statement about the sides and angles is true?
Answer:
m∠G > m∠P
Step-by-step explanation:
Given that:
HG = MP and GK = PN., Side H K has a length of 15 millimeters. Side M N has a length of 11 millimeters.
The triangle law for unequal sides states that if two sides are unequal. the angle opposite the longer side is greater than the angle opposite the shorter side. Since side HK has a length of 15 millimeters and Side MN has a length of 11 millimeters, the angle opposite side HK (which is m∠G) is greater than the angle opposite side MN (which is m∠P). That is m∠G > m∠P.
Answer:
A.
Step-by-step explanation:
The Mississippi River flows at a rate of 16,790 cubic meters per second. Choose the best approximation of the flow rate of the Mississippi River. Choose 1 answer: A:2 * 10^3 B: 2*10^4
Answer:
B, 2(10^4)
Step-by-step explanation:
2(10^3)= 2000
2(10^4)= 20000
2(10^4) Is closer to 16790 than 2(10^3)
Identify the fallacies of relevance, weak induction, presumption, ambiguity, and illicit transference committed by the following arguments, giving a brief explanation for your answer. If no fallacy is committed, write "no fallacy." When I visited Dr. Ames about my cholesterol, she insisted that I go on a statin drug. She says everybody should be on a statin. And when I saw Dr. Collins for depression, he prescribed Prozac. And when the Prozac gave me nausea, he prescribed Zofran to stop the nausea. Doctors are all the same. They all take their orders from the pharmaceutical industry.
Answer:
Hasty generalization fallacy
Step-by-step explanation:
Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.
In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.
Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.
Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.
For every 1000 hits a channel gets it makes £16 from ad revenue. How much will the channel make from each hit?
Hi there! Hopefully this helps!
The answer is: 0.016
Here is how I got that answer:
16/1000=0.016
Answer:
Step-by-step explanation:
£16÷1000=0.016p
Write and equation for vertical translation y=2/3x ; 3 units down
Answer:
y=2/3x - 3
Step-by-step explanation:
In order to move an equation down, you just subtract how many units you want to move down on the graph. In this case, you want to move 3 units down, so that's why you subtract by 3. Easy as that!
What is sixty dollars increased by fifteen percent?
Answer:
$69 dollars.
Step-by-step explanation:
$60 dollars increased by 15% is the same as:
60 + 60(.15) = 60(1.15) = $69
Andre types 208 words in 4 minutes. Noah types 342 words and 6 minutes.who types faster explain?
Answer:
Noah
Step-by-step explanation:
Find how many words each person types in one minute. Andre types 208/4=52 words/min and Noah types 342/6=57 words/min. The answer is Noah.
Answer:
noah types faster
Step-by-step explanation:
Andre
208 words/ 4 minutes =
52 words per minute
Noah
342 words / 6 minutes = 57 words per minute
(8,36) (11,12) slope for the line
Answer:
-8
Step-by-step explanation:
The slope is found by
m = (y2-y1)/(x2-x1)
= ( 36-12)/(8 - 11)
= 24 / -3
= -8
[tex]\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in your coordinates and solve}\\\\\frac{12-36}{11-8}\\\\\frac{-24}{3}\\\\-8\\\\\boxed{\text{Slope: -8}}[/tex]
How to do this question plz?
Answer:
Ratio of George age to Carl's age to Alex age = 1 : 12 : 4
Step-by-step explanation:
Let the age of Alex = A years
Age of George = G years
And age of Carl = C years
"Alex is 12 years older than George"
A = G + 12 ------(1)
"Carl is 3 times older than Alex"
C = 3A
C = 3(G + 12)
C = 3G + 36 ------(2)
"Sum of their ages is 68 years"
A + G + C = 68 ------(3)
By substituting the values of A and G in equation (3)
G + 12 + G + 3G + 36 = 68
5G + 48 = 68
5G = 20
G = 4 years
From equation (1),
A = 4 + 12 = 16 years
From equation
C = 3(4) + 36
C = 12 + 36
C = 48 years
Ratio of their ages = G : C : A
= 4 : 48 : 16
= 1 : 12 : 4
A board game uses a fair six-sided die and a spinner with five-equal sized sections colored dark blue, green, light blue, red, and yellow. Players roll the die then spin the spinner. Match each probability to its correct value. The probability of getting a
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
The computation of the probability is shown below:
P(die and spinner) is
= Probability of the die × probability of the spinner.
where,
Probability of the die is
= [tex]\frac{1}{6}[/tex]
And for the spinner, the probability is
= [tex]\frac{1}{5}[/tex]
Therefore the probability of both die and inner is
= [tex]\frac{1}{6} \times \frac{1}{5}[/tex]
= [tex]\frac{1}{30}[/tex]
We simply multiplied the probabilities of both die and spinner
Answer:
For Plato Users
Step-by-step explanation:
Plato
Line segment ON is perpendicular to line segment ML.
What is the length of chord ML?
A) 20 units
B) 24 units
C) 26 units
D) 30 units
Answer:
24 units
Step-by-step explanation:
OM = ON, so
OP= 13-8
That means OP is 5.
Using the Pythagorean Theorom to find MP:
5^2+b^2=13^2
25+b^2=169
b^2=169-25
b^2=144
B=12
This means MP =12. ML is twice as long as MP. 12x2=24
The answer is B. 24 units
The three legs of a triangle measure 18, 46, and 3x-5. What are the possible values of x?
a.28
b.11
c. 45
d. 13
Answer:
9. 64
10. 21
11. A (I believe)
Step-by-step explanation:
The first two were simple math problems, however 11. was a bit more complicated and I used logic to find the numbers that best fit into the problem. I am not sure that it is the right answer and if I were you I would wait for someone else to answer this question.
Henry wants to double a cake recipe that uses 2 cups and 10 tbsp of flour. How much flour will he need?
9514 1404 393
Answer:
5 cups and 4 tbsp
Step-by-step explanation:
Double the quantity (2 c, 10 T) is ...
2 × (2 c, 10 T) = (4 c, 20 T)
A cup is equal to 16 tablespoons, so this quantity can be rewritten as ...
(5 c, 4 T)
Five cups and four tablespoons of flour are needed for the double recipe.
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3 cubed. Syrus isn't sure if the tent will be tall enough for him to sit up inside. What is the height of the tent?
The dimensions of the tent is in the attachment.
Answer: Height = 4.5 ft
Step-by-step explanation: The image in the attachment shows a rectangular piramid, which means that the base of the piramid is a rectangle with sides 4 ft and 6 ft for width and length, respectively.
The volume of a rectangular piramid is given by the formula:
V = [tex]\frac{1}{3}[/tex].w.l.h
36 = [tex]\frac{1}{3}[/tex].4.6.h
h = [tex]\frac{36.3}{4.6}[/tex]
h = 4.5
The height of the given tent is 4.5 feet.
10 POINTS!!
please help, I've been on this question for 2 days..
Determine the formula for the nth term of the following sequence: -6, -2, 12, 42, 94, 174, ...
Answer:
an=n^3-n^2-6
Step-by-step explanation:
5-3x>6
Please helppppo please hellppppppp
Step-by-step explanation:
5-3x>6
-3x>1
x<-1/3
got it?
Answer:
2x<6
Step-by-step explanation:
If f(x)=8-10x and g(x)=5x+4, what is he value of (fg)(-2)
Answer:
168
Step-by-step explanation:
We would like to multiply these two expressions together and then substitute -2 in for x to solve.
f(x) * g(x) = (8 - 10x) * (5x + 4)
We will use FOIL (first, outer, inner last):
(8 - 10x) * (5x + 4) = 8 * 5x + 8 * 4 + (-10x) * 5x + (-10x) * 4
Combining terms, we get:
f(x) * g(x) = 32 - 50x²
Plug -2 in for x:
32 - 50 * (-2)² = 32 - 50 * 4 = 32 - 200 = -168
The answer is thus 168.
~ an aesthetics lover
A wooden clock is made in the shape of a triangular pyramid. The net of the pyramid is shown. A triangular pyramid. The base has a base of 8 inches and height of 6.9 inches. The 3 sides have a base of 8 inches and height of 7.4 inches. [Not drawn to scale] How much wood is needed to build the clock?
Answer:
116.4 Square Inches
Step-by-step explanation:
Base Area of the Triangular Pyramid
[tex]=\dfrac12 \times 8 \times 6.9\\\\=27.6$ square inches[/tex]
Surface Area of the three sides
[tex]=3 \times \dfrac12 \times 8 \times 7.4\\\\=88.8$ square inches[/tex]
Therefore, the area of wood needed to build the clock
=27.6+88.8
=116.4 Square Inches
Answer:
C
Step-by-step explanation:
I hope it helps
Which of the following numbers is not part of the solution to x ≤ -2? * -2 * -2.45 * -8 * -1.76
Answer:
-1.76
Step-by-step explanation:
-2 is equal to -2, so it works (greater or less than -2)
-2.45 is less than -2, so it works
-8 is less than -2, so it works
-1.75 is greater than -2, so it doesn't work
Sam was building a suspension bridge for the playground at an elementary school and needed some chain link and rope.He bought a total of 80 feet of materials. The chain link cost $2.00 per foot, and the rope cost $1.50 per foot. He spent a total of $135. How much of eacb did he buy?
Answer:
30 feet of chain link and 50 feet of rope
Step-by-step explanation:
Let's call the amount of chain link as x and the amount of rope as y. We can write:
x + y = 80 -- Equation 1
2x + 1.5y = 135 -- Equation 2
2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)
0.5y = 25 (Subtract Equation 2 from Equation 3)
y = 50 (Divide by 2)
x + 50 = 80 (Substitute y = 50 into Equation 1)
x = 30 (Subtract 50)
What is the length of arc FE?
Answer:
4.42
Step-by-step explanation:
Angles A and C are identical because the two circles are similar.
The arc length formula is s = rФ, where r is the radius and Ф is the central angle.
If we know s and r, then the central angle Ф is s/r, or, in this case,
Ф = 8.84/5.
Now let's find the length of the arc EF: s = rФ becomes:
s = (2.5)(8.84/5) = 4.42
The origin is at (1, 1): that is, the origin is at position 1 on the x-axis and at position 1 on the y-axis.
Answer: What is the question? If you could be more specific I could try to help but there is no question here.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
just did it
EXTRA POINTS! Evaluate the expression 7x2y, when x = 3 and y = 4. A.168 B.252 C.336 D.794
Answer:
A
Step-by-step explanation:
Put the values of x and y into the expression, then multiply the values.
7 x 3 x 2 x 4 = 168
Answer:
B. 252
Step-by-step explanation:
[tex]7x^2y[/tex]
Put x as 3 and y as 4.
[tex]7\left(3\right)^2\left(4\right)[/tex]
Evaluate.
[tex]7(9)(4)[/tex]
[tex]=252[/tex]
HELP ASAP HELP PLEASE ASAP
Answer:
WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.
Step-by-step explanation:
The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).
Plot these points on coordinate plane and draw the quadrilateral as shown below.
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using this formula, we get
[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]
[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]
Now,
[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]
Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.
Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.