Answer:
29.42 units
Step-by-step explanation:
1) Find the perimeter around the semi-circle
To do this, we find the circumference of the circle using the given diameter:
[tex]C=\pi d[/tex] where d is the diameter
Plug in 6 as the diameter
[tex]C=\pi (6)\\C=6\pi[/tex]
Divide the circumference by 2
[tex]\frac{6\pi }{2} \\= 3\pi[/tex]
Therefore, the perimeter around the semi-circle is 3π units.
2) Find the perimeter around the rest of the shape
Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.
Therefore, we add the following:
7+6+7
= 20
Therefore, the perimeter around that area of the shape is 20 units.
3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape
[tex]20+3\pi \\= 20+9.42\\= 29.42[/tex]
Therefore, the perimeter of the shape is approximately 29.42 units.
I hope this helps!
A pair of AirPods cost $120 at the store. A
person bought a pair and sold it online for
$150. What is the percent of increase?
Answer:
20 is the correct answer
Answer:
8%
Step-by-step explanation:
120% divided by 150%
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
Answer:
Step-by-step explanation:
500
What are the degree and leading coefficient of the polynomial?
Help!!! I will give you a follow
Answer:
Red
Step-by-step explanation:
Let x = number of laps and Let y = time taken to complete laps
She is able to run one lap in 7 minutes
Given this information we want to create an equation
the equation would be
7x = y
Now that we have created an equation we want to find how many laps she can run in 56 minutes.
The time is represented by 7 so we plug in 56 into y
so now we have
7x = 56
Finally we solve for x
*divide each side by 7*
56/7 = 8
7x / 7 = x
we're left with x = 8 meaning that she can run 8 laps in 56 minutes
In conclusion the answer is the Red one
Round your answer to the tenths place if necessary
Help me please! :(
Answer:
∠ B = 80.5°
Step-by-step explanation:
Since AB = AC then the triangle is isosceles with base angles congruent, so
∠ B = ∠ C , then
∠ B = [tex]\frac{180-19}{2}[/tex] = [tex]\frac{161}{2}[/tex] = 80.5°
Hello fello humans I need help on this question please and thank you :)
Answer: The value of x is 6.
Step-by-step explanation:
In the figure we have two secants.
A secant is a line that intersects a circle in exactly two points.
For the figure attached below:
[tex]a\times b=c\times d[/tex]
So for the given figure,
[tex]x\times 8=4\times (4+8)\\\\\Rightarrow\ x=\dfrac{4\times12}{8}\\\\\Rightarrow\ x=6[/tex]
Hence, The value of x is 6.
Answer:
x=6
Step-by-step explanation:
and hello to you as well
Help!! I will give brainlest
Answer:
the first one
Step-by-step explanation:
(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.
Adult = 440 members
Children = 120 members
(i) Calculate the total amount the 560 members pay in 2013.
(ii) The adult fee of $198 in 2013 is 5.6% more than the fee in 2012.
Calculate the adult fee in 2012.
Answer:
i ) $96120
ii ) Singular adult fee in 2012: $186.91
Step-by-step explanation:
( i )
To find the costs of all 560 peoples you:
Multiply the amount of people by the fee,
440 × 198 = $87120
120 × 120 = $9000
Add these go get the sum of member fees: $96120
( ii )
First calculate what 1% of the adult fee would be:
198 ÷ 100 = 1.98 = 1%
Then calculate what 0.1% of the fee:
1.98 ÷ 10 = 0.198 = 0.1%
Now multiply 5 by the value of 1% to get 5% :
5 × 1.98 = 9.9
Then multiply 6 by the 0.1% to get 0.6% :
0.198 × 6 = 1.188
Add these numbers together to get:
1.188 + 9.9 = $11.088 = 5.6%
Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)
$11.09
We now subtract this from the 2013 fee to find out the 2012 fee
$198 - $11.09 = $186.91
$186.91 was the cost of a singular adult fee in 2012
Jasmine paid $380 for a playstation 5, originally priced at $500. What percent discount did Jasmine get?
She got it for 24% off
$500 - 24% = $380
Solve for the value of t.
HELP!!
Answer:
28
Step-by-step explanation:
2x28 = 56 -7 = 49
my answer has to be 20 characters long so don't mind the sentence with words
Answer:
t= 27
Step-by-step explanation:
2t-7=49
+7+7
2t=56
t=27
How many real solutions will the graph of g(x) = 2x2 - 4x + 7 have?
F
O real solutions
G
1 real solution
H
2 real solutions
J
more than 2 real solutions
Answer: zero real solutions
Step-by-step explanation: constants from equation are a= 2 , b= -4 and c= 7.
Discriminant D= b^2 -4ac = (-4)^2 -4x2x7= 16 - 56 = -40 <0 so there's no solution
For equation g(x)= 0
Please help me with 2,3,4,5,6 show me the steps and the answers please
the formula is a^2+b^2=c^2
A and B are the sides doesn't matter which
C is always across from the right angle
so fill x in accordingly
4^2+3^2=x^2
16+9=
25= x^2
square root both 25 and x^2
25 becomes 5
x^2 becomes x
x=5
and just apply this to the other problems
I need 11 and 12 thanks!
Answer:
11. c > 5
12. option 1
Step-by-step explanation:
A 17 foot long lodder is leaning against a house the base of the ladder is 9 feet from the house how high up the house does the ladder reach
The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 44 m. Find the dimensions of the rectangle
Answer:
Length of Rectangle is 3 cm less than twice the width
Area is 44 m2 ; let W = width; 2W - 3 = Length
Arect = L times W
44 = W ( 2W - 3 )
44 = 2W2 - 3W
0 = 2W2 - 3W - 44
Factoring
0 = ( 2W - 11 )( W +4)
2W - 11 =0 ; W + 4 = 0
W = 11/2 W = -4 (width can not be a negative number)
Therefor: width is 11/2 and length is 8
help please with math!
Answer:
1/2
Step-by-step explanation:
If you do this:
20:2=10
14:2=7
12:2=6
You get dimensions of smaller triangle which is a half from bigger one.
Answer:
scale factor is 1/2
Step-by-step explanation:
notice that the sides of ΔABC are one-half of the length of the sides 0f ΔDEF
Avery deposited 1250 in a new savings account. Which amount is closest to the balance of the account at the end of three years
Answer: $1,467.80
Step-by-step explanation:
The formula for the future value given annual compounding is:
= Amount * ( 1 + rate) ^ number of years
The amount after 3 years at 5.5% is therefore:
= 1,250 * ( 1 + 5.5%)³
= 1,250 * 1.174241375
= $1,467.80
find the probability that the pitcher will throw exactly 4 pitches
Answer:
[tex]\frac{3}{20}[/tex] = 0.15
Step-by-step explanation:
15 + 20 + 40 + 15 + 10 = 100
[tex]\frac{15}{100} = \frac{3}{20}[/tex] = 0.15
I had trouble plotting the midpoint lol but can someone plz help me :c
midpoint is (-1 and -1.5)
Answer:
Step-by-step explanation:
midpoint rule is x2+x1 / 2 , y2+y1 / 2
where point one is P1 = (x1,y1) = (4,3)
and point two is P2 = (x2,y2) = -6,-6
for x then, -6+4 / 2 = -2 / 2 = - 1
for y then, -6+3 / 2 = -3 / 2 = - [tex]\frac{3}{2}[/tex]
mid point is ( -1 , - [tex]\frac{3}{2}[/tex] )
Can someone please help me with this question please help me.
James scored a total of 16 points during a basketball game. During the game, he made only free throws, worth 1 point each, and 3-point baskets. He made a total of 10 free-throws and 3-point baskets. Determine exactly how many free throws and how man 3-point basket James made during the game.
Answer:
x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.
Step-by-step explanation:
James scored a total of 16 points during a basketball. Only free throws and 3-point baskets are used. Free throws = 1 point (x), 3-pointers = 3 points (y).
Set the equations:
16 = x + 3y
10 = x + y
First, isolate the variable x in the second equation. Divide y from both sides of the equation:
10 (-y) = x + y (-y)
x = 10 - y
Next, plug in 10 - y for x in the first equation:
16 = x + 3y
16 = (10 - y) + 3y
Simplify. Combine like terms:
16 = 10 - y + 3y
16 = 10 + (-y + 3y)
16 = 10 + 2y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 10 from both sides of the equation:
16 (-10) = 10 (-10) + 2y
2y = 16 - 10
2y = 6
Next, divide 2 from both sides:
(2y)/2 = (6)/2
y = 6/2 = 3
Plug in 3 for y in one of the equations:
16 = x + 3y
16 = x + 3(3)
16 = x + 9
Isolate the variable, subtract 9 from both sides of the equation:
16 (-9) = x + 9 (-9)
x = 16 - 9
x = 7
x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.
Plug in to check:
16 = x + 3y
10 = x + y
16 = (7) + 3(3)
16 = 7 + 9
16 = 16 (True)
10 = (7) + (3)
10 = 10 (True).
~
Answer:
x = 7 , y = 3 or 7 free throws, and 3 3-pointers.
Step-by-step explanation:
Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)
Answer:
Step-by-step explanation:
Describe the translation below using words and then write a rule for it.
Camille put $1,250 in a new account at her bank. - The bank pays 2.25% interest compounded annually on this account. - Camille makes no additional deposits or withdrawals. Which amount is the closest to the balance of the account at the end of 5 years?
Answer:
FV= $1,397.1
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,250
Interest rate (i)= 2.25% compounded annually
Number of periods (n)= 5 years
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 1,250*(1.0225^5)
FV= $1,397.1
Please help me and I’ll give you five stars and a Thanks
Help me please I’ll mark brainliest!!!!
Answer:
1.5
Step-by-step explanation:
PLEASE HELP MEEE !!!!
Given:
The figure of a trapezium.
To find:
The measures of missing angle [tex]m\angle K, m\angle M[/tex].
Solution:
In the given figure [tex]JK\parallel ML[/tex].
If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.
[tex]m\angle J+m\angle M=180^\circ[/tex] (Supplementary angles)
[tex]87^\circ+m\angle M=180^\circ[/tex]
[tex]m\angle M=180^\circ-87^\circ[/tex]
[tex]m\angle M=93^\circ[/tex]
Similarly,
[tex]m\angle L+m\angle K=180^\circ[/tex] (Supplementary angles)
[tex]51^\circ+m\angle K=180^\circ[/tex]
[tex]m\angle K=180^\circ-51^\circ[/tex]
[tex]m\angle K=129^\circ[/tex]
Therefore, [tex]m\angle M=93^\circ[/tex] and [tex]m\angle K=129^\circ[/tex].
(07.07) H U R R Y, please ;) 15 points!
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).
Elapsed Time
(seconds) Distance Traveled
(feet)
1 4.2
2 8.4
3 12.6
4 16.8
Which of the following equations represents the relationship between the distance traveled and the elapsed time?
p = 4.2f
f = 4.2p
p = 4.2 + f
f = 4.2 + p
im not sure i think its 14.2
Ms reynolds has 5 pounds of clay for her art club. If she divides the clay into 1 third pound pieces, how many pieces will she have?
Answer:
15
Step-by-step explanation:
Total quantity of clay = 5 pound
Now, Reynolds divides the clay into 1 third pound pieces.
this means each piece of clay weighs = 1/3 pounds
Therefore, number of pieces of clay = Total weight of clay/ weight of each piece
= 5/(1/3) = 15
Find the total surface area of this cone.
Leave your answer in terms of .
25m
Sm
SA = [? ]7 m2
Answer:
[tex]SA = 70\pi[/tex]
Step-by-step explanation:
Given
See attachment for cone
Required
The total surface area
This is calculated as:
[tex]SA = \pi r\² + \pi rl[/tex]
From the attached cone:
[tex]r = 5[/tex] -- radius
[tex]l = 9[/tex] --- slant height
So, we have:
[tex]SA = \pi * 5^2 + \pi * 5*9[/tex]
[tex]SA = 25\pi + 45\pi[/tex]
[tex]SA = 70\pi[/tex]
the polynomial y = x^{5} + x^{3} - x^{2} - 1 factors into (x^{2} + 1) (x^{3} - 1). what is the multiplicity of the root (x^{3} - 1)?
Answer:
The multiplicity of the root is 1
Step-by-step explanation:
Firstly, we need to understand what multiplicity is
By multiplicity, we simply refer to the number of times we have the certain root repeating itself
From the factorization, each of the given roots were only repeated once
That indicates that the given multiplicity is 1