5 yd 15 yd find the Shaded area of each figure round your answer to the decimal place if necessary
Answers
Part (a);
\(\begin{gathered} \text{The area of the semi-circle with a radius of 5 yds;} \\ A=\pir^2^{} \\ \text{Foe a semi-circle (}\frac{1}{2}\text{ circle)} \\ \text{Area}=\frac{\pir^2}{2} \\ \text{Area}=\frac{3.14\times5^2}{2} \\ \text{Area}=\frac{78.5}{2} \\ \text{Area}=39.25yd^2 \\ \text{Area of the triangle=}\frac{1}{2}bh \\ b=\text{base (}15) \\ h=vertical\text{ height (10) that is radius x 2} \\ \text{Area}=\frac{1}{2}\times15\times10 \\ \text{Area}=75 \\ \text{Area of the entire figure=39.25 + 75} \\ \text{Area of the entire figure=114.25 yds}^2 \end{gathered}\)Part (b);
\(\begin{gathered} \text{Area of the circle=}\pir^2 \\ \text{radius}=5\text{yds} \\ \text{Area}=3.14\times5^2 \\ \text{Area}=3.14\times25 \\ \text{Area}=78.5yd^2 \\ \text{Area of the triangle=}\frac{1}{2}\times bh \\ b=\text{base (16)} \\ h=\text{vertical height (16)} \\ \text{Area}=\frac{1}{2}\times16\times16 \\ \text{Area}=128yd^2 \\ Area\text{ of shaded region=Area of triangle-Area of circle} \\ \text{Area of shaded region=128-78.5} \\ \text{Area of shaded region=}49.5yd^2 \end{gathered}\)Related Questions
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
Answers
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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Alison's age is 10 more than half of Sam's age. Using S to represent Sam's age, write an expression that represents Alison's age.
a) 1/2(S+10)
b) 10-1/2S
c) S+1/2(10)
d)1/2S+10
Answers
Answer:
D
Step-by-step explanation:
Let's pretend to use 6 as Sam's age.
Six divided by two is three, plus ten is 13.
Now let's work it backwards.
"half of Sam's age"
S/2
"Alison's age is 10 more"
+10
Put these together and it's S/2+10.
Please someone help me I rlly don’t get this I’ll give you like 40 points
Answers
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
Answers
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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Distance - rate and time formula
Answers
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
Answers
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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How many bundles of strip flooring are needed to cover a rectangular floor area 16 ft by 14 ft 6 in size if a bundle of strip flooring contains 25 sq ft, and if 30 % extra must be allowed for side and end matching?
Answers
If a bundle of strip flooring has 25 sq ft and 30% extra is provided for side and end matching, 12.2 bundles of strip flooring are required to cover a rectangle floor space 16 ft by 14 ft 6 in size.
How do you find the area of the rectangle?Once the length and breadth of a rectangle are determined, the area is computed. The area of a rectangle may be calculated by multiplying its length and width.
In this question, because the rectangular floor has an area of 16 ft by 14 ft 6 in, we can compute the total area of the floor by multiplying 16 ft by 14 ft 6 in, which is 234 \(ft^{2}\). We also know that a strip flooring bundle comprises 25 square feet. As a result, we must determine how many bundles of strip flooring are required to cover the floor.
We must account for side and end matching, which is computed by increasing the total floor area by 30%. To determine the extra space required for side and end matching, multiply 234 ft2 by 0.3. This equates to 70.2 \(ft^{2}\).
We can now compute the total area required to cover the floor. This is 234 \(ft^{2}\) + 70.2 \(ft^{2}\) = 304.2 \(ft^{2}\).
Because each strip flooring bundle includes 25 square feet, we can divide 304.2 \(ft^{2}\) by 25 to determine the total number of bundles required to cover the floor.
This corresponds to 12.2 bundles.
Therefore, 12.2 bundles of strip flooring are needed to cover a rectangular floor area 16 ft by 14 ft 6 in size, with 30% extra for side and end matching.
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Which expression is equivalent to Left-bracket log 9 + one-half log x + log (x cubed + 4) Right-bracket minus log 6? log StartFraction 3 StartRoot x EndRoot (x cubed + 4) Over 2 EndFraction log StartFraction 3 StartRoot x EndRoot (3 x + 4) Over 2 EndFraction log StartFraction StartRoot 9 x (x cubed + 4) EndRoot Over 6 EndFraction StartFraction StartRoot log 9 x ( x cubed + 4) EndRoot Over 6 EndFraction
Answers
Answer:
\(\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}\)
Step-by-step explanation:
\(\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}\)
__
The applicable rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Answer:
A
Step-by-step explanation:
Just did it on edge2020
How many feet of baseboards will Zach need? (The side with the question mark should be 5 ft.)
Answers
5 ft
1) Note that in a blueprint all the angles of that figure are 90º. So we can tell that there are parallel lines.
2) Therefore, we can tell that Zach will need 5 ft of baseboards
Because that 5 plus 10 makes 15 ft, the length of that upper side of the bedroom.
help!! please! i don’t understand
Answers
Answer:
\( 2 \sqrt[3] {60}~mm \)
Step-by-step explanation:
The volume of a cube is the side cubed, so each edge is the cubic root of the volume.
V = 480 mm³
\( s = \sqrt[3] {V} \)
\( s = \sqrt[3] {480~mm^3} \)
\( s = \sqrt[3] {2^3 \times 2^2 \times 3 \times 5~mm^3} \)
\( s = \sqrt[3] {2^3} \times \sqrt[3] {2^2 \times 3 \times 5~mm^3} \)
\( s = 2 \sqrt[3] {60}~mm \)
Pls help!!!!
What is the estimated sum of 6/7+ 4/7
Answers
Answer:
10/7 or 1 3/7
Step-by-step explanation:
PLEASE HELP SIMPLIFY 4(m + ( -2) + 15
Answers
Answer:
\( \sf \large \: 4m+52\)
Step-by-step explanation:
4(m−2+15)
=(4)(m+−2+15)
=(4)(m)+(4)(−2)+(4)(15)
=4m−8+60
=4m+52
Answer:
4m+52
Step-by-step explanation:
You want to invest your money into an investment account. You have $15,000.
You will need the money in 9 years. The bank offers you a choice.
Option A: 4.5% simple interest.
Option B: 3.25% compound interest.
Which one should you choose and why?
Answers
We should choose option (A) to invest $ 15,000 for 9 years as it gives us more interest amount.
Principal = $ 15,000
Time period = 9 years
For option (A):
Simple interest rate = 4.5 %
Simple interest = p × r × t / 100
I = (15000) (9) (4.5) / 100
I = $ 6075
Amount = P + I
A = $ 15,000 + $ 6075
A = $ 21,075
For option (B):
Compound interest rate = 3.25 %
A = 15,000 ( 1 + 0.0325 ) ⁹
A = 15,000 ( 1.0325 )⁹
A = 15,000 (1.33)
A = $ 20,003.31
Therefore, we should choose option (A) to invest $ 15,000 for 9 years as it gives us more interest amount.
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We should choose option (A) to invest $ 15,000 for 9 years as it gives us more interest amount.
Principal = $ 15,000
Time period = 9 years
For option (A):
Simple interest rate = 4.5 %
Simple interest = p × r × t / 100
I = (15000) (9) (4.5) / 100
I = $ 6075
Amount = P + I
A = $ 15,000 + $ 6075
A = $ 21,075
For option (B):
Compound interest rate = 3.25 %
A = 15,000 ( 1 + 0.0325 ) ⁹
A = 15,000 ( 1.0325 )⁹
A = 15,000 (1.33)
A = $ 20,003.31
Therefore, we should choose option (A) to invest $ 15,000 for 9 years as it gives us more interest amount.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.For example, if you deposit $1,000 in an account that pays 1 percent annual interest, you'd earn $10 in interest after a year. Thanks to compound interest, in Year Two you'd earn 1 percent on $1,010 — the principal plus the interest, or $10.10 in interest payouts for the year.to know more about simple and compound interest ;
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A cube has volume V = sº, where s is the length of a side. Find the side length for a cube
with volume 8000 cm?
Answers
Answer:
512 units.
Step-by-step explanation:
V = S x S x S
V = 8 x 8 x 8
V = 512
So your answer is 512 units! Please mark brainliest if I got it right :)
Solve the following quadratic equation for all values of x in simplest form. 4(3x - 5)/1+5 = 13
(Will give brainly)
Answers
To find :
The value of x.Solving the equation :
\( \longmapsto \sf { \dfrac{4(3x-5)}{1+5} = 13} \)
\( \longmapsto \sf { \dfrac{12x-20}{6} = 13} \)
\( \longmapsto \) 12x - 20 = 6 × 13
\( \longmapsto \) 12x - 20 = 78
\( \longmapsto \) 12x = 78 + 20
\( \longmapsto \) 12x = 98
\( \longmapsto \) x =\( \sf { \dfrac{98}{12} } \)
Divide the numerator and the denominator in R.H.S by 2.\( \longmapsto \bf\red { x = \dfrac{49}{6} } \)
Value of x is 49/6.
Answer:
\({\boxed{\sf{\gray{x = \dfrac{49}{6}}}}}\)Step-by-step explanation:
\({\underline{\underline{\bf{\red{\:\:\:Given\: Equation\:\:\:}}}}}\)
\(\mapsto\:\:\sf{\dfrac{4(3x-5)}{1+5}=13}\)
We need to find the value of x in the given equation.\({\underline{\underline{\bf{\blue{\:\:\:Solution\:\:\:}}}}}\\\\\)
______________________\(\\\)
\(\qquad:\longrightarrow\:\:\:\:\sf\red{\dfrac{4(3x-5)}{1+5}=13}\)
\(\\\)
\(\qquad:\longrightarrow\:\:\:\:\sf\orange{\dfrac{4(3x-5)}{6}=13}\)
\(\\\)
\(\qquad:\longrightarrow\:\:\:\:\sf\green{\dfrac{2(3x-5)}{3}=13}\)
\(\\\)
\(\qquad:\longrightarrow\:\:\:\:\sf\blue{\dfrac{6x-3}{10}=13}\)
\(\\\)
\(\qquad:\longrightarrow\:\:\:\:\sf\purple{6x-10=39}\)
\(\\\)
\(\qquad:\longrightarrow\:\:\:\:\sf\red{6x = 39+10}\)
\(\\\)
\(\qquad:\longrightarrow\:\:\:\:\sf\blue{6x = 49}\)
\(\\\)
\(\qquad:\longrightarrow\:\:\:\:{\underline{\boxed{\sf{\purple{x = \dfrac{49}{6}}}}}}\)
\(\\\)
______________________How do I find the difference in the simplest form?
Answers
Answer:
2
Step-by-step explanation:
\( \frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2\)
Question 6 of 10
A triangle has two sides of lengths 4 and 7. What value could the length of
the third side be? Check all that apply.
DA7
B. 17
C. 9
D. 3
E 11
F. 5
Answers
all that sides which can be applicable in the given side of triangle are:
F.5
A.7
C.9
WHICH THEOREM IS APPLICABLE FOR FINDING THE THIRD SIDE OF TRIANGLE ?Third Side of a Right Angle Triangle Pythagorean Theorem. The length of the hypotenuse in a right triangle can be determined using the Pythagorean Theorem. You can determine the length of the missing side using algebra and square roots as long as you are only given two lengths.
CALCULATIONa,b and c are the sides of a triangle if it satisfies:
a<b+c , b<a+c and c<b+a
Here, a=4 and b=7
We have to find c
i.e. all those c which satisfies:
4<7+c , 7<4+c and c<4+7=11
D.3 it is not true since it doesn't satisfies second inequality
F.5 it is true
A.7 it is true
C.9 it is true
E.11 This is clearly false, since it doesn't satisfies inequality third
F.5 This is clearly false, since it doesn't satisfies inequality third
Hence, correct options are:
F.5
A.7
C.9
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4. which the following best describes the number of people who need glasses for reading by age 60? a.a small handful of people b.a few c.about half of people d.most people
Answers
The option that best describes the number of people who need glasses for reading by age 60 is d. most people
What is macular degeneration?A condition known as age-related macular degeneration (AMD) affects a person's central vision. Although AMD can cause severe central vision loss, it rarely causes total blindness. Age 50 and older, smoking, having high blood pressure, and eating a diet high in saturated fat are all risk factors for AMD.
The 1960s and beyond are regarded as late adulthood. The process of physical change ends here. Skin elasticity continues to decline, as does reaction time and muscle strength. The senses of smell, taste, hearing, and vision that we had in our twenties start to deteriorate.
In this case, it should be noted that most people need glasses by 60 years and above. Therefore, the correct option is D.
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Simplify. -(6x + 3y) - (x + y)
Answers
Answer:
(-6x -3y ) -x-y
-6x-x-3y-y
5x +2y
plase help 50 points
Answers
2. 21
3. 161
4.156
If 2 cards are selected from a standard deck of 52 cards without replacement, find these probabilities. Both are the same suit.
Answers
Answer:
4/17
Step-by-step explanation:
There are 4 suits in the standard deck and 13 cards in each suit. The first pick doesn't matter as it doesn't specify which suit we need. Now that we have picked the first card, it will not be replaced, meaning there are now 51 cards, and importantly, only 12 cards left in the same suit as the one we picked. This means the probability that the next card we pick is in the same suit is 12 out of 51, or 12/51, which can be simplified to 4/17.
Answer:
4/17
Step-by-step explanation:
There are 52 cards in a standard deck.
There are 4 suits and 13 cards of each suit in a deck.
You select the first card, and it will be a card of one of the 4 suits.
Now you need to select a second card. You want it to be the same suit as the first card.
There are 51 cards left in the deck and 12 cards left of the same suit as the first card.
p(same suit) = 12/51 = 4/17
A. Are the graphs of y= alx| and y = |ax| the same when a is positive?Why?
Answers
The cost, in dollars, to produce 1 watt of solar energy is a function of the number of years
since 1977.t.
From 1977 to 1987, the cost could be modeled by an exponential function. Here is the
graph of the function.
80
60
dollars per Watt
40
20
4
8
10
6
years since 1977
1. What is the statement f (9) 36 saying about this situation?
2. What is f(4)? What about f (3.5)? What do these values represent in this context?
3. When f(t) = 45, what is t? What does that value of t represent in this context?
4. By what factor did the cost of solar cells change each year? (If you get stuck consider
creating a table.)
Answers
Answer:
In the figure attached, the graph of the function is shown.
1. f(9) ≈ 6 means that at t = 9 (year 1977 + 9 = 1986) the cost to produce 1 watt of solar energy was $6
2. f(4) ≈ 25, which means at year 1981 (=1977 + 4) the cost was $25 per watt
f(3.5) ≈ 28, which means at half of year 1980 (=1977 + 3.5) the cost was $28 per watt
3. When f(t) = 45, t is equal to 2, which means that the year wass 1979 (= 1977 + 2)
4. From the graph we can compute the following table:
x | y
0 | 80
1 | 60
The general exponential decay formula is:
f(x) = a*b^x
where a is the initial value and b si the decay factor. Replacing with data from the table:
f(0) = a*b^0
80 = a
f(1) = a*b^1
60/80 = b
0.75 = b
Pls can someone help me
Answers
This Is What I Came Up With
Q (-6.6), R (-6.0), S (0.0)
Math Is Not My Intended Purpose. If You Have Suggestions Or Comments Please Do Contact My Programmer On Discord
Distortion #0313
Use the midpoint formula
In a running race, the 200-meter dash is run in approximately 21 seconds. Estimate the time to run the 100-meter dash.
Answer fast!!!
Answers
Answer:
10.5 seconds.
Step-by-step explanation:
Remember that this is an estimate. It is meant for you to do in your head. It is not meant for Google or a calculator.
100 meters is 1/2 of 200 meters.
100 meters time is roughly 1/2 that for 200 meters.
21 seconds * 1/2 = 10.5 seconds.
Can’t figure this out need help
Answers
Answer:
d
Step-by-step explanation:
range means y values so automatically a and b aren't right
there's no limits for y since it's linear, so it's D
that R sign basically means "all real numbers"
y=kx+1
M(2,-7)
What is K
Answers
Answer:
K = 5m+y/x
Step-by-step explanation:
Let's solve for k.
y=kx+1m(2−7)
Step 1: Flip the equation.
kx−5m=y
Step 2: Add 5m to both sides.
kx−5m+5m=y+5m
kx=5m+y
Step 3: Divide both sides by x.
kx/x = 5m+y/x
Therefore, k = 5m+y/x
A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answers
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
Professor Hickey assigned two homework problems to a class of 35 students. At the next meeting, 11 indicated that they had worked the first problem, 14 had worked the second problem, and 9 had worked both.
(a) Determine the number who worked at least one of the problems.
students
(b) Determine the number who worked only the first problem.
2
students
(c) Determine the number who worked exactly one of the problems.
students
(d) Determine the number who worked neither of the problems.
29
students
Answers
Answer:
b
Step-by-step explanation:
1/3(2n- 1/4) =7/12 for n.
Answers
Steps:
First, distribute the 1/3
2/3n - 1/12 = 7/12
Add 1/12 to both sides to eliminate it.
2/3n = 2/3
Divide both sides by 2/3 to isolate n
n = 1