Answers
Solution in picture
Answer:
327.5 feet²
Step-by-step explanation:
Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.
Determining the area of the triangle:
Given dimensions:
Height = 11 feetDetermining the base of the triangle:
[tex]22 + b + 5 = 7 + 8 + 17[/tex]
[tex]27 + b = 32[/tex]
[tex]b = 32 - 27[/tex]
[tex]b = 5 \ \text{ft}[/tex]
Substituting the base and the height:
[tex]\text{Area of triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\text{Area of triangle} = \frac{1}{2} \times 5\times11[/tex]
Simplifying the R.H.S to determine the area:
[tex]\text{Area of triangle} = 5\times5.5[/tex]
[tex]\text{Area of triangle} = 27.5 \ \text{ft}^{2}[/tex]
Determining the area of rectangle₁
Given dimensions:
Length = 17 feetBreadth = 5 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{1}} = LB[/tex]
[tex]\text{Area of rectangle}_{1}} = (5)(17)[/tex]
Simplify the R.H.S to determine the area:
[tex]\text{Area of rectangle}_{1}} = 85 \ \text{feet}[/tex]
Determining the area of rectangle₂
Given dimensions:
Length = 5 + 7 feetBreadth = 8 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (7 + 5)(8)[/tex]
Simplify the R.H.S to determine the area
[tex]\text{Area of rectangle}_{2} = (7 \times 8) + (5 \times 8)[/tex]
[tex]\text{Area of rectangle}_{2} = 56+ 40[/tex]
[tex]\text{Area of rectangle}_{2} = 96 \ \text{feet}^{2}[/tex]
Determining the area of rectangle₃
Given dimensions:
Length = 17 feetBreadth = 7 feetSubstitute the length and the breadth:
[tex]\text{Area of rectangle}_{2} = LB[/tex]
[tex]\text{Area of rectangle}_{2} = (17)(7)[/tex]
Simplify the R.H.S to determing the area:
[tex]\text{Area of rectangle}_{2} = 119\ \text{feet}^{2}[/tex]
Determining the area of the figure:
A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)
= 27.5 + 85 + 96 + 119
= 327.5 feet²
Related Questions
Which answer choice correctly represents 0.513333… ?
Answers
Expression Expanded Evaluated[tex]-6^{5} \\(-2)^{3} \\-3^{4}\\(-1)^{5}[/tex]
Answers
"7 * 4
the * is times
Step-by-step explanation:
that's it in expanded form"
Expanding the expressions:
1)
⇒ (-6)⁵
⇒ (-6)(-6)(-6)(-6)(-6)
⇒ -7776
2)
⇒ (-2)³
⇒ (-2)(-2)(-2)
⇒ (4)(-2)
⇒ -8
3)
⇒ (-3)⁴
⇒ (-3)(-3)(-3)(-3)
⇒ (9)(9)
⇒ 81
4)
⇒ (-1)⁵
⇒ (-1)(-1)(-1)(-1)(-1)
⇒ -1
Which of the following is larger and why? (Math 8th)
4.235 x 104 and 7.152 x 103
Answers
Answer:
4.245 x 10^4
Step-by-step explanation:
10^4 = 10,000
10^3 = 1,000
4.235 * 10,000 = 42,350
7.152 * 1,000 = 7,152
A growing farming conglomerate increases its water usage at a rate of 10% every year. If it
used 13,000 megaliters of water this year, then how much water will it use 17 years from
now?
Answers
The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.
What is the amount of water that would be used 17 years from now?The formula for calculating the amount of water that would be needed 1 years from now:
FV = P (1 + r)^N
FV = Future value P = Present value R = interest rate N = number of years13000 x 1.1^17 = 65,708.11
To learn more about future value, please check: https://brainly.com/question/18760477
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer:
1046.9
Step-by-step explanation:
The formula for calculating volume of a sphere is the following:
4/3·π·r³
The question asks for you to substitute 3.14 instead of using the exact number π.
∴V=4/3·3.14·6.3^3
V=1046.86344
Now round your answer to the nearest tenth:
1046.86344 -->1046.9
∴V=1046.9
The width of a rectangle with area 55in^2 depends on its length. write the formula that describes the width of the rectangle as a function of its length.
(screenshot attached if you need to see the problem better)
Answers
The formula that describes the width of the rectangle as a function of length is w = 55 / m.
How to find area of a rectangle?area of a rectangle = lw
where
l = lengthw = widthTherefore,
area = 55 inches²
length = m
width = w
Hence,
area = mw
55 = mw
divide both sides by m
55 / m = wm / m
w = 55 / m
learn more on rectangles here: https://brainly.com/question/26306126
An event has a probability of 1/2. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answers
Answer:
Equally Likely
Step-by-step explanation:
The answer is equally likely because equally likely events have the same probability of happening as another event.
For example, a fair coin.
It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.
Hope this helps!
If an event has a probability of 1/2 then the likelihood of this event is,
C. Equally likely.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.
A fair coin is an illustration.
Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.
learn more about probability here :
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#SPJ7
This morning, Deanna took a history test. She got 87 out of 90 problems right. What is
her final grade, as a percentage rounded to the nearest tenth?
Answers
Answer:
96.7%
Step-by-step explanation:
87/90 = 0.96666666
To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%
Answer:
96.7%
Step-by-step explanation:
87÷90×100
Do Not Red
consider the net of a rectangular pyramid.
156 ft
63 ft S132 ft
63 ft
66 ft
1
156 ft
What is the surface area, in square feet, of the rectangular pyramid?
A 336 ft2
B 434 ft2
C 2,350 ft2
D 7,824 ft2
Answers
Answer:
c
Step-by-step explanation:
I don’t understand this subject at all if you wold answer that would be a big help
Answers
Answer:
d= 8.6 ft
Step-by-step explanation:
In similar triangles, the corresponding sides are in proportion.
[tex]\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}[/tex]
To find the value of x,
[tex]\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d[/tex]
d = 8.6 ft
Ver en español
What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
395.64 sq. mm
hope it helps...!!!
A right triangle has legs measuring 18 in. and 26 in.
What is the length of the hypotenuse?
Round to the nearest tenth.
18.8 in.
31.6 in.
44.0 in.
100.0 in.
i know the answer but I need someone to explain to me how to do this, I do a^2+b^2 +c^ and i keep getting 26
Answers
Answer:
The answer is 100 in
Step-by-step explanation:
The pythagorean theorm states that, for any right triangle where a and b are the legs and c is the hypotenuse, a^2 + b^2 = c^2. So, we can substitute and solve.
18^2 + 26^ 2 = c^2
324 + 676 = c^2
1000=c^2
Square root of 1000 = c
100.0=c
Hope this helps!
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answers
Answer:
I think it was the third century b.c. If not then I am sorry.
Find the greatest number of children to whom 260 pens and 364 chocolates can be divided equally.
Answers
answer:
52
explanation:
52 is the highest shared factor of the two numbers.
52*5=260
52*7=364
--
if this helped, please consider giving brainliest !
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
Answers
Answer:
x=52°
Step-by-step explanation:
because of the vertical angles theorem
Answer:
x=52°
Step-by-step explanation:
the vertical angles theorem
Hunter has a collection of 140 coins. How many coins represent 5% of his collection? Divide/scale down to solve for the missing percent.
Answers
Answer:
5% of his coins is 7
Step-by-step explanation:
140 X 0.05 = 7
67 x=?
Please help!
Answers
57 + x = 180
x = 23
Hi please help with an explanation as well, I’ll reward branliest
Answers
Answer:
Perimeter of base: 40 :)
10 + 10 + 10 + 10 = 40
Slant height: 13
(it gives us this information) :)
Area of base: 100
10^2 = 100
Surface area: 65000
(1/2)(100 x 13)
1/2(1300)
650
Have an amazing day!!
Please rate and mark brainliest!!!
Answer and Explanation:
1) The perimeter is the sum of the base's side lengths, so it is:
P = 10 ft * 4 = 40 ft
2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 144
h = 12 ft
3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:
LA = 4 * (1/2)(10 * 13)
= 4 * 65
= 260 ft
4) The area of the base is the product of its dimensions:
A(base) = 10 * 10
= 100 ft^2
5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:
SA = LA + A(base)
= 260 + 100
= 360 ft^2
Need help.............................
Answers
Answer: The answer is 8
Step-by-step explanation: If you round 9 52/69 you get 10 approximately and -1 29/50 is approximately -2 so 10-2=8
The reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes. what is the critical value for z for a hypothesis test using a 5% significance level? z* =
Answers
The critical value for z for a hypothesis test using a 5% significance level is 1.65
It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.
It is required to find the critical value for z for a hypothesis test using a 5% significance level.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have a hypothesis H1 that wait time is actually greater than 60 minutes.
H1(T>60)
This is the case of the right-tailed hypothesis.
We have a significance level = 5% ⇒ 0.05
The statistics follow a normal distribution curve
Critical value = 1.6449 ≈ 1.65 (from the table at 5% significance level)
Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65
Know more about the normal distribution here:
brainly.com/question/12421652
Tanslate the sentence into an equation
The sum of 4 times a number and 8 is 5.
Use the variable for the unknown number
Answers
Answer:
4x+8 =5
Step-by-step explanation:
sum = +
times = Multiply
is = =
4*x +8 = 5
Answer:
4x+8=5
Step-by-step explanation:
Let's assume the number is x
Four times x plus 8 is 5
4x+8=5
***Optional
If you need to solve it...
4x+8=5
4x=-3
x= - [tex]\frac{3}{4}[/tex]
Hope this helps! :D
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS
Answers
Answer:
1/6
Step-by-step explanation:
Hope it helps you in your learning process
Answer:
the second one
Step-by-step explanation:
1/6
brainliest pls
how do you recognize an exponential equation
Answers
if you come across an exponential equation you can recognize it if you see a small number above the base number it would look something like this.
The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.
Answers
Answer:
1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.
2. c = 1500 / p
Step-by-step explanation:
1. Lets look at the cost comparison per number of tenants.
1 person = $1500 per person
2 people = $750 per person
3 people = $500 per person
As you see, as the number of people increase, the cost per person decreases.
2. If you are splitting the cost, then you are dividing equally.
The rent is divided between the number of people
1500 / p
c = 1500 / p
Answer:
1. The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.
2. c = 1500 / p
Step-by-step explanation:
1. Lets look at the cost comparison per number of tenants.
1 person = $1500 per person
2 people = $750 per person
3 people = $500 per person
As you see, as the number of people increase, the cost per person decreases.
2. If you are splitting the cost, then you are dividing equally.
The rent is divided between the number of people
1500 / p
c = 1500 / p
The first four terms of an arithmetic sequence are 7, 14, 21, 28... Calculate the sum of the first 50 terms.
Answers
Step-by-step explanation:
a = 7
d = 14-7 = 7
s(50) = n/2*[a+(n-1)*d]
= 50/2*[7+(50-1)*7]
= 8750
What is the volume of a rectangular prism with a length of 10 inches, a width of 5 inches, and a height of 8 inches?
Answers
Answer:
400 in.
Step-by-step explanation:
V= l x w x h
V=10 x 5 x 8 =400 in.
How many degrees Fahrenheit is -3°C? Help please
Answers
Answer:
26.6 degrees
Step-by-step explanation:
Formula
(°C × 1.8) + 32 = °F
(-3°C × 9/5) + 32 = 26.6°F
26.6
To convert temperature readings from celsius scale, formula used is -
[tex]\green{ \underline { \boxed{ \sf{F = \frac{9}{5}C +32 }}}}[/tex]
where
F = temperature in FahrenheitC = temperature in CelsiusPutting Values -
[tex]\begin{gathered}\\\implies\quad \sf F = \frac{9}{5}\times(-3) + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf -\frac{27}{5} + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf -5.4 + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 26.6\degree F \\\end{gathered} [/tex]
Therefore, 26.6⁰ Fahrenheit is equivalent to -3⁰C.
A fruit punch is made with 32 ounces of ginger ale for every 12 ounces of frozen orange juice
concentrate. How much ginger ale should you use for 30 ounces of orange juice concentrate?
Answers
Answer:
80
Step-by-step explanation:
if you make a ratio table
32ginger ale = 12orange juice
now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have
16ginger ale = 6 orange juice
and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t
therefore
80 ginger ale = 30 orange juice
Find the value of x.*
20
48
36
60
Answers
Answer: 48
Step-by-step explanation:
A rugby team sells tickets for $8. The team sells 129 tickets. How much money does the rugby team collect?
Answers
Answer:
136 tickets
You have to do 8x17