Answer:
P = 12 pi units + 24 units.
Step-by-step explanation:
All sides of an equilateral triangle are of the same length. Here that length is 12 units. We take a circle of diameter 12 units and cut it in half through its center. Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.
The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units. This is half the formula C = 2(pi)(r). The two non-attached sides of the triangle have a total length of 24 units.
Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.
Sports science researchers determined that, for those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has had at least one injury?
0.22
0.45
0.50
0.78
Answer: D) 0.78
Step-by-step explanation:
Add all the given probabilities to find the answer:
45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78
what is the answer to this question 1.6x + 30
PLEASE HELP!!!!!!!!!!!!!
What is this 3(x+2)<4(x−2)
solve the equation 5x+x-7=4x-2-x
Answer:
[tex]x=\frac{5}{3}[/tex]
Step-by-step explanation:
Brainliest pls?
lowest common factor of 6 and 12
Answer:
36
Step-by-step explanation:
It's so obvious lollllll
Answer:
36
Step-by-step explanation:
Order the side lengths from least to greatest.
Answer:
38, 40, and 102
Step-by-step explanation:
when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102
Trevor paid a total of $1.08 in fines for an overdue library book. If the penalty for overdue books is $0.09 per day, how many days late was the book?
2 days
8 days
12 days
20 days
Answer:
12
Step-by-step explanation:
You have to divide the total by the number per day to solve this problem.
1.08/0.09=12
Please show your work !! 3and 4
Step-by-step explanation:
#3. 3^⅓ × 9^⅓ ......make the bases the same
3^⅓ × (3²) ^⅓
3^⅓ × 3^⅔ .....since the bases are the same, add the powers
3^ (⅓+⅔)
3^1
3
#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5
(x + 6) ^3/5 *5/3= 8^¹*5/4
x + 6 = 8^5/3
x + 6= ( 3√8)^5
x + 6 = 2^5
x + 6 = 32
x = 32 -6
x = 26
hope this helps!
Not sure though
A sequence starts from -2. The term to term rule is 'square and subtract 3' find the first six numbers of the sequence
Answer:
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
Step-by-step explanation:
First term is [tex]-2[/tex]
The term to term rule is 'square and subtract [tex]3[/tex]'
Second term[tex]=(-2)^{2} -3=1[/tex]
Third term[tex]=(1)^{2} -3=-2[/tex]
Fourth term[tex]=(-2)^{2} -3=1[/tex]
Fifth term[tex]=(1)^{2} -3=-2[/tex]
Sixth term[tex]=(-2)^{2} -3=1[/tex]
The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]
What number multiplied by 3/10 is equal 2/3?
Answer: 20/9
Step-by-step explanation:
2=2m−7 SOLVE FOR M PLS AND THANK YOU
Answer:
m = 4.5
Step-by-step explanation:
2 = 2m - 7
add 7 to both sides
9 = 2m
divide by 2 on each side
4.5 = m
CHECK:
2 = 2(4.5) -7 (TRUE)
2 · 4.5 = 9
9 - 7 = 2
I hope this helps!
Answer:
m=4.5
Step-by-step explanation: First, add 7 to each side and you get 9=2m. divide each side by 2 and you get m=4.5
write an equation that represents the data in the table:
x - 5, 10, 15, 20
y - 17, 22, 27, 32
I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)
Answer:
Option B, x + 2y = 8
Step-by-step explanation:
When two lines are parallel, their gradients are equal i.e M1 = M2
(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)
Gradient of a line = (y2 - y1)/(x2 - x1)
Using coordinates (-4,0) and (4,-4)
Gradient of the line = (-4-0)/[4-(-4)]
= -4/4+4
= -4/8
= -1/2
Therefore gradient of the parallel line is -1/2
Equation of a line using slope intercept form
(y - y1) = m(x - x1)
The parallel line passes through point (2,3)
y - 3 = -1/2 ( x - 2)
2(y - 3) = -1(x - 2)
2y - 6 = -x + 2
2y + x = 8
I hope this helps you to learn....
Basket A had 7 times as many plums as Basket B at first. Zoe put 58 more plums in each basket. Now Basket A has thrice as many plums as Basket B. How many more plums are there in Basket A than Basket B now?
Answer:
174 plums
Step-by-step explanation:
a=7b
a+58=3b
7b+58=3b
4b=58
b=14.5
29,203 earlier
87,261 now
261-87=174
on a map of the northwest territories,4.0cm represents 920km. how far is it from tuktoyaktuk to fort smith is the distance on the map js 6.0cm
Answer:
1380 km
Step-by-step explanation:
Each 4 cm = 920 km
6 cm is 1.5 x 4, so multiply 920 x 1.5
Can u please help me solve this much appreciated
PLEASE HELP ASAP! I WILL MARK YOU BRAINLIEST.
Answer two questions about Equations A and B
A. 2x-1=5x
B.-1=3x
1)How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Answer:
2x-1=5x
-1=3x
1.A. we take away 2x from both sides
2.A they are the same sine they both have the same solution of -1/3
Hope This Helps!!!
Answer:
Rewrite one side by combining like terms A yes the equations are equivalent meaning they have the same solution
Step-by-step explanation:
Hope this helped
WHICH PROPERTY IS BEING USED IN THE FOLLOWING?
15 × 1 = 15
Answer:
This is the Idenity Property
Step-by-step explanation:
The Identity Property for multiplication states that anything times 1 is the same number.
3x1=3, and 8192x1=8192 (Do you play 2048?)
The zero property: Anything multiplied by zero is zero.
1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.
The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.
(6 x 7) x 78 is the same as 6 x (7 x 78)
The commutative property: When you switch the order of numbers, you get the same answer.
256 x 32 is the same as 32 x 256
Investors buy a studio apartment for $180,000. Of this amount, they have a down payment of $18,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $9,000 down payment be? Their down payment is enter your response here% of the purchase price. (Type a whole number.) A $9,000 down payment would be enter your response here% of the purchase price. (Type a whole number.)
Answer:
$180,000 is 10% $9,000 is 5%
Step-by-step explanation:
To solve for this, you would set up a ratio and cross-multiply.
$18,000/$180,000 = x%/100%
(18,000)(100) = 180,000x
1,800,000 = 180,000x
10 = x
9,000/180,000 = x/100
900,000 = 180,000x
5 = x
OR
$18,000 ÷ 2 = $9,000
10% ÷ 2 = 5%
Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 2.
Answer:
1/36.
Step-by-step explanation:
She gets 1 on the first dice and 1 on the second.
This is the only way Sarah can get a sum of 2.
The total possible outcomes is 6*6 = 36.
So the required probability is 1/36.
yo can i get sum help over here
Answer:
0.1 i think
Step-by-step explanation:
each line is 0. *number* until u reach 1 then it goes to 1.*number*
Answer:
0.1
Step-by-step explanation:
what is the answer in the remainder
Answer:
12 with a remainder of 5
Step-by-step explanation:
have a good day! :)
An item is regularly priced at $55. Miguel bought it on sale for 40% off the regular price. How much did miguel pay?
Answer: so Miguel payed $33
steps:
1. first find what 40% of $55 which gives us $22
2. Final Price = Original Price - Discount
Final Price = 55 - 22
Final Price = $33.00
the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are the dimensions of the window?
Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
[tex]\sqrt{400} = \sqrt{(x + 4)^2}[/tex]
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
A parallelogram and some of its
dimensions are shown below.
2
15 in.
T
hin.
The area of the parallelogram is
90 square inches. What is h, the height
in inches of the parallelogram?
A.
6
B.
8
C. 10
D. 12
Which of the following expressions
3
Answer:
8?
Step-by-step explanation:
i am not sure
M<2= x+49 (geometry)
Which equation choice could represent the graph shown below?
Two lines are intersecting. What is the value of x?
(x + 26)
(3x - 6)º
Answer:
i don't know sorry
Select the correct answer.
Martha manages a home improvement store and uses this function to model the number of customers that visit the store each hour on a
Saturday afternoon.
n(t) = -2.82t2 + 25.746 + 60.87
Which graph would most likely be associated with this model?
The given quadratic equation gives the parameters of the shape of the
graph of the equation.
The graph that is most likely associated with the model is; graph BReasons:
The given function is n(t) = -2.82·t² + 25.74·t + 60.87
by analyzing the above function, we have;
At t = 0
n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87
The x-coordinate of the maximum point is given by [tex]\displaystyle x = -\frac{b}{2 \cdot a}[/tex]
Which gives;
[tex]\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564[/tex]
The maximum value of the function is therefore;
n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61
The characteristics of the equation are;
Initial value of equation = 60.87
t-coordinate of the maximum point, t ≈ 4.564
Maximum value of the of the function = 119.61
By comparing with the given graphs, we have;
[tex]\begin{tabular}{c|c|c|}&Graph A&Graph B\\Initial value&100&75\\t-value at max point&7&4\\Maximum value&200&125\end{array}\right][/tex]Therefore, the graph that will most likely be associated with the model is; graph B.
Learn more about graphs of quadratic equations here:
https://brainly.com/question/10989920
Answer:
The correct answer is graph B.
Step-by-step explanation:
I got it right on the Edmentum test.