The outer perimeter of the figure will be 62.3 ft.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have to given that;
The figure is shown in figure.
Now, The total outer perimeter is,
⇒ Outer perimeter of triangle = 12.2 ft + 6 ft
= 18.6 ft
And, Outer perimeter of rectangle = 14 ft + 14 ft
= 28 ft
And, Outer perimeter of semicircle = πr
= 3.14 × 10 / 2
= 3.14 × 5 ft
= 15.70 ft
Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft
= 62.3 ft
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Henry is using cardboard to build a box in the shape of a rectangular prism. A net of the box is shown.
10 ft
4 ft
10 ft.__
6 ft!
4 ft
4 fti
1
What is the surface area of the box?
A. 84 square feet
B. 216 square feet
O c. 240 square feet
D. 248 square feet
E. 280 square feet
Answer:240 square feet
Step-by-step explanation:
Answer:240
Step-by-step explanation:
Coach Taylor asked his team to record the distance they ran during practice. It’s a dot plot so someone plssss help me I’ll give them 10 points!
The range between 3/16 & 3/8 is where the line plot with the difference of daily mileage logged by each racer in a group is still most obvious.
Line plot: what is it?A line graph, liner plot, or line chart is a graph that uses lines to link the individual data points. For a specific time period, quantitative values are displayed as a line graph. Line graphs are widely used in finance to depict the past market movements of a securities or asset.
Here,
calculation
The number line indicates that there's more than or equal to 3 marks when there are 7 markings either on or to the right of 3. The fraction must first have the same denominators.
=> 3/8 x 2 = 6/16
=> 1/2 x 8 = 8/16, 3/8 x 2 = 6/16
=> 5/8 x 2 = 10/16, 1/2 x 8 = 8/16
Since they all have the same numerator, we can now compare them.
=> 3/16 - 1/16 = 2/16
=> 6/16 - 3/16 = 3/16
=> 8/16 - 6/16 - 2/16
=> 10/16 - 8/16 = 2/16
The largest distinction is between 3/16 and 3/8 (6/16 vs. 3/16).
The range between 3/16 and 3/8 is where the line plot with the difference in daily mileage logged by each runner in a group is most obvious.
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The complete question is " Coach Taylor asked his team to record the distance they ran during practice The line plot shows the number of miles the individual members in a group of runners run each day. How many runners run at least 3 miles per day?."
An ice cream cone has a radius of 7 cm and a height of 8 cm
Answer:
TSA of ice cream cone = 330 cm^2
Step-by-step explanation:
Total Surface Area of ice cream cone = pie r( r+h )
22/7 * 7 (7+8)
22 ( 7+8)
22*15
= 330 cm. square
Adella wants to have $10,000. 00 saved in 5 years. Her local bank offers an account at 4% APR
compounding monthly. How much would she need to deposit to reach her goal?
$8000. 33
$8191. 67
$8189. 67
$8219. 29
The deposit to be made to save $10,000 in 5 years is $8189.67 when compounded monthly.
What is compound interest?Compound interest is interest on a loan or deposit that is calculated on both the principal amount and the interest accumulated in previous periods. It differs from simple interest, which is calculated on the principal only. Compound interest can be more favorable to the lender and more expensive to the borrower. The frequency of compounding (annual, quarterly, monthly, etc.) also affects the total amount of interest earned or paid.
Given that:
A = $10,000
r = 4% = 0.04
t = 5 years
n = 12 (since the compounding is monthly)
P = ?
The compound interest is given as follows:
[tex]A= P(1+\frac{r}{n} )^{nt}[/tex]
Substituting the values in the formula we have:
[tex]10000= P(1+\frac{0.04}{12} )^{(12)(5)}\\\\10000= P(1+0.0033 )^{(60)}\\\\10000= P(1.0033 )^{(60)}\\\\10000= P(1.2185)\\\\P= \frac{10000}{1.2185} \\\\P=8189.67[/tex]
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Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56. What are the odds in favor of Adam seeing a meteor in the next 10 minutes?
The odds from the probability is 14 : 11
How to determine the odds from the probability ?The value of the probability is given as
Probability in the next 10 minutes = 0.56
This means that
p = 0.56
Represent the probability as a fraction
So, we have the following representation
p = 56/100
Simplify the fraction
p = 14/25
To convert the probability to odds, we make use of the following equation
Probability = Odds/(1 + Odds)
Substitute the known values in the above equation, so, we have the following representation
14/25 = Odds/(1 + Odds)
So, we have
(1 + Odds) * 14/25 = Odds
This gives
14/25 + Odds * 14/25 = Odds
Evaluate the like terms
11/25 * Odds = 14/25
So, we have
Odds = 14/11
Express as ration
Odds = 14 : 11
Hence, the odds is 14 : 11
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Which expression is equivalent to (x^2-2x-37)\(x^2-3x-40)
Therefore , the solution of the given problem of equation comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).
Describe equation.An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Here,
Given :([tex]x^{2}[/tex]-2x-37)/([tex]x^{2}[/tex]-3x-40)
[tex]x^{2}[/tex]-3x-40
Factor[tex]x^{2}[/tex]-2x-37
[tex]x^{2}[/tex]-2x-37/(x-8) (x+5)
Thus ,
the factors comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5)
Therefore , the solution of the given problem of equation comes out to be [tex]x^{2}[/tex]-2x-37/(x-8) (x+5).
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Lines A and B are parallel
A
155°
3 4
B.
5 6
7 8
m27 = [ ? 1°
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
An item is regularly priced at $90. It is now priced at a discount of 40% off the regular price. What is the price now?
Answer:
Price after discount is $54
You save $36
Step-by-step explanation:
Item 48 A couple has 5 children, all sons. If the woman gives birth to a sixth child, what is the probability that the sixth child will be a son
The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.
What is the probability that the sixth child will be a son?The probability of having a son as the sixth child can be calculated using the binomial formula. The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial.In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated as follows:P(son) = (5 choose 6) x (0.5^6) = 0.015625
The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial. In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated using the binomial formula as follows: P(son) = (5 choose 6) x (0.5^6) = 0.015625.
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4. Find the value of each variable in the parallelogram.
Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
According to parallelogram laws
adjacent side sum is 180 degree
=> 4y + 3x-18 = 180
=> 4y+3x = 162
and
2x+12+3z = 180
=> 2x + 3z = 168
and
=> 3x+3z = 162
=> x + z =54
=> z = 54-x
So,
2x + 3(54-x) = 168
=> 162 - 3x+2x =168
=> -x = 6
or x =-6
and
z = 60
and
y = 162 - 3x /4
=> y= 162 +18 /4
=> y =180/4
=> y = 45
Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.
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So basically you have to: highlight all of the words that can be used to describe the following expression in another color. Sorry if the pic is a little blurry but I really need help with this!!! I highlighted some of them already. Plssss
Answer:
7m: multiplied by, times
x^2: squared, to the power of
2 - 4m: less than, difference
3r/b: quotient
4k + 7: increased by, more than, altogether
3(2 + y): multiplied by, per, product
good luck!!
What is the product of 3p and 4p² 5p 7?
The product of 3p, 4p² and 5p 7 is 120p⁹.
What is product?Product is an item or thing that is created or produced by a business. It can refer to both physical and intangible items, such as machines, food, software, intellectual property, or services. The concept of a product is used in many different industries, including manufacturing, retail, technology, and finance. Products are typically sold in exchange for money, but can also be given away or traded. Products are an essential part of any business, as they are what generate income for a company.
This can be calculated by multiplying 3p (3 x p) with 4p² (4 x p²) and 5p 7 (5 x p x 7). The result of this multiplication is 120p⁹ (3 x 4 x 5 x p x p² x 7).
To understand this calculation better, we can break it down into its component parts.
The 3p component is 3 x p, which gives us 3p. The 4p² component is 4 x p², which gives us 4p². The 5p 7 component is 5 x p x 7, which gives us 5p 7. When these three components are multiplied together we get 3 x 4 x 5 x p x p² x 7,which is equivalent to 120p⁹.
In conclusion, the product of 3p, 4p² and 5p 7 is 120p⁹.
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What is another name for the mean of a group of numbers?
Answer:
Average \
hope this helped
Step-by-step explanation:
Answer:
the mean is also known as the average
Step-by-step explanation:
have a good day
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
NO SCAM LINKS !!!!! ASAP
Answer:
sinL = [tex]\frac{72}{97}[/tex]
Step-by-step explanation:
sin L = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LK}[/tex] = [tex]\frac{72}{97}[/tex]
Answer:
Step-by-step explanation:
How do you write log in e form?
Log to exponential form is very useful to easily perform complicated numeric calculations. The logarithmic form
loga N=x
can be easily transformed into the exponential form as:
ax=N
Normally, large astronomical and scientific calculations are written in exponential form, and here we can use the log to exponential form of transformation.
Logarithms are occasionally transformed using antilog tables to normal form, rather than transforming into exponential form.
Log to exponential form required specific formulas of logarithms and exponents. Logarithms help in easily transforming the multiplication and division across numbers into addition and subtraction.
And exponentials help in working across numbers with different bases and different powers.
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what is the answer? iiii...........................
1. A jeweler is creating circular bracelets made of copper wire. If the diameter of each
bracelet is 3 inches, how many inches of copper wire will the jeweler need to make 20
bracelets? Round your answer to the nearest tenth of an inch.
Step-by-step explanation:
divide 3 by 2 because that would be the radius and you need the radius to find the area so do 1.5 times 1.5 times pi (3.14ish) and you should get around 7.07 then times that by 20 because the jewler is making 20 of them and then you should get about 141.4 inches
In a batch of 140 water purifiers, 28 were found to be defective. What is the probability that a water purifier chosen at random will be defective?
Answer:
20%
Step-by-step explanation:
28 / 140 = 0.20 which is 20%
Select the correct answer.
Which expression is in simplest form?
A. 4x√2xy
B. 3a^2 √4b
C. c^3d √3d^3
D. 14s √st^2
URGENT PLEASE HELP
SERIOUS ANSWERS ONLY
verify 2 csc (2x)=1+ tan^2 x / tan x
Step-by-step explanation:
L.H.s.
2csc2x2/sin2x2/(2sinxcosx)1/sinxcosx[sin²x+cos²x]/sinxcosxsin x/cosx +cosx/sinxtanx+cotxR.H.S.
1+ tan²x/tanx1+tanx1+sin x/cosx(cosx+sinx)/cosxPlease help with this
Answer:
slope = 3/2
Step-by-step explanation:
rise/run = 60/40 = 6/4 = 3/2
Can anyone help me solve this equation: x^{2} +5x+6=0
Answer: x= -2, -3
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Which statement about the offer are true ? Check all that apply
Answer: The first and third options are correct.
Step-by-step explanation:
Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano. 1/5 of the mixture was basil. The rest of the mixture was chilli powder
Answer:2/5
Step-by-step explanation:
2/5+1/5 equals 3/5, so if the rest of the mixture is chili powder, it would be 2/5
HELP NEED HELP!
Choose the similar triangles that have a hypotenuse defined by the equation
Answer:
red
Step-by-step explanation:
Please help? I’m really confused
Answer:
48.2 in^3
Step-by-step explanation:
It'd be easier to calculate the volume if you'd change the mixed numbers to mixed numers with decimal fractions:
2 1/2 becomes 2.5
3 2/3 becomes 3.67
5 1/4 becomes 5.25
Then V = L*W*H, or
V = (5.25 in)(3.67 in)(2.5 in) = 48.2 in^3
If you know how to do box and whisker plot pls help cause I forgot how to do it
The interquartile range (IQR) is the box plot showing the middle 50% of scores and can be calculated by subtracting the lower quartile from the upper quartile (e.g. Q3−Q1).
Look at the picture below to get a better understanding:
Answer:
9
Step-by-step explanation:
IQR is the length of the box
To start, take the max of the box (which is 15)
And then subtract the min of the box (which is 6)
15-6=9
9 is the IQR
Activity 3 Solve the following problems. Write your solutions on a separate sheet of paper {Show your solution) 1. A rectangular wrapping cloth has a length of 26 inches and a width of 24 inches. Two circular cloth with a diameter of 8 inches will be cut from it. How much cloth will be left? 2. How many square foot of tiles are needed to cover this kitchen floor?
Answer:
The answer is 512.
Step-by-step explanation:
You need to split the parts of the sheet into two parts to be able to multiply it correctly. Then you separately multiply the parts and then add them up in the end.
does the point (0,1) satisfy the equation y=5x
Answer:
no
Step-by-step explanation:
Substitute x = 0 into the equation and if the value is 1 ( the y- coordinate ), then it is a solution.
y = 5(0) = 0 ≠ 1
Then (0, 1 ) does not satisfy the equation
Answer:
No. y=5x means that y has to be 5 times x
e.g. (0,0), (1,5), (2,10), (3,15)
Estimate the product. 313×418=