The maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons
Volume of a cylinderv = πr²hr = radius
h = height
Therefore,
r = 10 ft
h = 25 ft
The tank can only be 80% filled due to safety measures. Therefore,
v = 3.14 × 10² × 25
v = 3.14 × 100 × 25
v = 3.14 × 2500
v = 7850 ft³
80% capacity of 7850 ft³ is as follows:
80 / 100 × 7850 = 628000 / 100 = 6280 ft³
100 ft³ = 2.78 gallons
6280 ft³ = ?
cross multiply
maximum number of whole gallons = 6280 × 2.78 / 100 = 17458.4 / 100 = 174.584 gallons
Therefore, the maximum number of whole gallons of fuel the tank can contain due to safety measures is 174.584 gallons
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What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 over 36 endfraction startfraction 157 over 12 endfraction
The length of the radius will be 22 units.
What is the radius?The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.
Now from the question, we have an expression:
[tex]r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )[/tex]
By solving the above equation we get
[tex]r=(\dfrac{18997}{864} )[/tex]
[tex]r=22[/tex]
Hence the length of the radius will be 22 units.
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Answer:
85/12
Step-by-step explanation:
HELP Two workers, if they were working together, could finish a certain job in 24 days. If one of the workers does the first half of the job and then the other one does the second half, the job will take them 50 days. How long would it take each worker to do the entire job by himself?
HELP PLEASE!! 20 Points!! Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Answer:
my answer was wrong
Find the surface area of the solid figure
Answer:
150
Step-by-step explanation:
area of your base (bh/2) 3x8/2 = 12
2 bases = 24
3 faces ---- Face1 - 7x5= 35 ------Face2 - 7x5 = 35 ------Face3 - 8x7 = 56
24 + 35 + 35 + 56 = 150
Question Find the circumference of the pizza. Round your answer to the nearest tenth.
can you pls help me i need it?
Answer:
$114.75
Step-by-step explanation:
You have to multiply the hours by the wage. Looking at the time that the worker was in during the morning, it was a total of 4 hours. Since the wage is $13.50/hr, we would multiply 13.50 by 4.
13.50 * 4 = 54.00
So, now we have to add together the total hours in the afternoon. If we count the time, we get 4 1/2 hours. So, now we multiply 13.50 by 4.5.
13.50 * 4.5 = 60.75
Now, to find the total pay for that day, we add both the morning and the afternoon pay together.
54.00 + 60.75 = 114.75
Therefore, the pay for this day is $114.75.
you buy a sandwich for $6.965, a salad for $3.25, and a drink for $1.79. if sales tax is 7%, how much change do you receive from $20 bill, rounded to the nearest cent?
6.965 + 3.25 + 1.79 = 12.005, now, let's apply a 7% taxation on that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 12.005}}{\left( \cfrac{7}{100} \right)12.005}\implies 0.84035~\hfill \underset{total~bill}{\stackrel{12.005~~ + ~~0.8435}{12.84535}} \\\\\\ 20~~ - ~~12.84535\implies 7.15465~~\approx ~~ \$7.15[/tex]
How do function models help us to understand the world?
Answer:
mathematical represents alot of stuff in the really world
what two numbers add up two 40 but multiply to get 100
The two numbers are illustrations of system of equations
The two numbers are 2.7 and 37.3
How to determine the two numbers?Let the numbers be x and y.
So, we have the following equations
x + y = 40
xy = 100
To determine the value of the variables, we simply plot the graph of both equations
From the graph, we have the following result
(x,y) = (2.7, 37.3)
Hence, the two numbers are 2.7 and 37.3
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Please help! Will mark brainliest <3. (Click on the photo too see the question!)
Answer:
☐ [tex]\displaystyle \textcolor{blue}{A.}\:\angle{S}\:and\: \angle{J}[/tex]
☑ [tex]\displaystyle \textcolor{blue}{B.}\:\angle{G}\:and\: \angle{M}[/tex]
☐ [tex]\displaystyle \textcolor{blue}{C.}\:\angle{H}\:and\: \angle{P}[/tex]
☑ [tex]\displaystyle \textcolor{blue}{D.}\:\angle{R}\:and\: \angle{U}[/tex]
Explanation:
Accourding to the Vertical Angles Theorem, vertical angles are considered congruent. So, we need to make sure find all pairs of angles that reflect each other like a mirror [NO LINEAR INTERFERENSES], and those would be the above checked checkboxes.
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3-5 1/3 on a number line
In a regular polygon the line from the center to the mid-point of an outer side is a(n)
Answer:
The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.
Step-by-step explanation:
Apothem In a regular polygon the line from the center to the mid-point of an outer side is a(n).
What is a cube?It is a polygon having six faces.
The volume of a cube is a side cube.
We have,
The apothem of a regular polygon is a line segment from the center to the midpoint of any one of its sides.
Thus,
The line from the center to the mid-point of an outer side is a(n) is Apothem.
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4/5 and -4/5 are same or not
Answer:
not
Step-by-step explanation:
Answer:
4/5 and -4/5 are not same because
4/5=
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A coin is used to simulate the probability of parents having 1 boy and 1 girl if they have a total of two children. A head represents having a girl, and a tail represents having a boy. The coin is flipped twice for each trial. The first flip represents the first child, and the second flip represents the second child. The experiment was performed 12 times, and the results are recorded in the following table.
Trial First Flip Second Flip
1 H H
2 H T
3 T H
4 H T
5 T T
6 H H
7 T H
8 H T
9 H H
10 T T
11 T T
12 H H
Based on the simulation, what is the probability that parents will have 1 boy and 1 girl if they have a total of two children?
Enter your answer as a reduced fraction, like this: 3/14
From the table, it is found that there is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 12 experiments, 5 resulted in one of each, hence:
[tex]p = \frac{5}{12}[/tex]
There is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
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if p(x)=x2+2x-5 and g(x)=x-3, what is p(x) – gx)?
Answer:
x2+x-2
Step-by-step explanation:
i had this question before
7. What is the length of SW?
Answer:
SW = 130
Step-by-step explanation:
[tex]2(2x+5)=5x-20[/tex]
This is what the equation should be because this is a rectangle.
[tex]4x+10=5x-20[/tex]
Once you finish simplifying, move the numbers and variables over to get this.
[tex]x=30[/tex]
Then do multiplication and addition to get 130.
If ∠A > ∠B, then what is the relation between AC and BC?
Answer:
ab and ac are congruent with each other
Answer:
BC > AC
Step-by-step explanation:
∠A > ∠B (Given)
Side opposite to larger angle is larger and side opposite to smaller angle is smaller.
->AC < BC
or
BC > AC
PLEASE HELP ill like!!!!!! Its 20 points
Answer:
1. Degree= 6, trinomial
2. degree= 4, binomial
Step-by-step explanation:
1. The largest exponent is 6 making it the degree and there are three terms because (m^5n^2), (mn^2), (n^6).
2. Since (9a^2bc^2) has the more than 1 exponent, you add them and the degree is 4. There are two terms because (2a^3b), (9a^2bc^2).
Use the empirical rule to find a reasonable estimate for P(z ≤ 0. 82). 10% 30% 50% 80%.
P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
What is a z-score?Z-score indicates how much a given value differs from the standard deviation.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where [tex]\mu[/tex] = mean
[tex]\sigma[/tex]=standard deviation
P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.
From the standard normal table
P(z ≤ 0. 82) ≈80%.
Hence, P(z ≤ 0. 82) or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.
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forgot can you explain the answer
Answer:
18 is 30% of 60
Step-by-step explanation:
Try to line up percents % and the actual numbers they represent.
number : precent
60 is 100%
18 is x %
cross multiply
x·60 = 100·18
divide both sides by 60 to isolate x
x = ((100·18)/60
x = 30
What value of k make the equation 7(14k + 15) -7 = 19k + 6 (-13 + 15k) true?
A. -5
B. -9
C. 16
D. 25
Solve using substitution
I WILL GIVE THANKS AND MARK BRAINLIEST.
Answer:
[tex]\displaystyle Dependency\:[Infinitely\:Many\:Solutions][/tex]
Explanation:
In the bottom equation, moving [tex]\displaystyle -2x[/tex]to the oppocite side will give you the linear standard equation above it, therefore numerous solutions will occur.
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A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 8 inches and a height of 2 inches. How much wax will the company need to make 160 candles? Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
Answer: 18,086.4 cubic units
Step-by-step explanation:
the radius squared: 3×3.14×4²=150.72.
If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.
What number
comes next?
78.2; 78; 77.8; ...
Answer:
77.6
Step-by-step explanation:
Each number is subtracted by 0.2
Hope that helps!
what's the square root of the area of a square with side 13?
Area :-
[tex]\\ \rm\rightarrowtail side^2[/tex]
[tex]\\ \rm\rightarrowtail 13^2[/tex]
[tex]\\ \rm\rightarrowtail 169[/tex]
Square root:-
√169=13If you invest $1600 at 5.25% for 18 months, how much simple interest is earned?
A) $10,500
B) $1,260
C) $126
D) $1,512
Answer:
the correct answer is is b
6. The figure below is composed of nine congruent
squares. What is the area of the shaded portion?
12 in
Ath 12 in
The Area of the shaded portion = area of 5 shaded squares = 80 in.².
What is the Area of a Square?Area of a square = s², where the edge length is s.
Edge length of each small square = 12/3 = 4 in.
Area of the shaded portion = area of 5 shaded squares = 5(s²)
s = 4 in.
Area of the shaded portion = 5(4²)
Area of the shaded portion = 80 in.²
Therefore, the Area of the shaded portion = area of 5 shaded squares = 80 in.².
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please me please pls
the line passes through the point ( - 8 ; - 2)
so f(-8) = - 2
An equilateral triangle with side length 7 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
How many distinct subsets of the set $s=\{1,8,9,39,52,91\}$ have three-digit sums?
The number of distinct subset of the set is an illustration of combination
There are 34 distinct subset of the set that have three digit sums
How to determine the number of distinct subsets?The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
So, we have:
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]n_1 = 4 * [^3C_1 + ^3C_2 + ^3C_3] + 1[/tex]
Evaluate
[tex]n_1 = 4 * [3 + 3 + 1] + 1[/tex]
[tex]n_1 = 29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
i.e.
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]n_2 = 2 * [^2C_1] + 1[/tex]
Evaluate
[tex]n_2 = 2 * 2 + 1[/tex]
[tex]n_2 = 5[/tex]
So, the total number of ways is:
[tex]n = n_1 +n_2[/tex]
This gives
[tex]n = 29 +5[/tex]
[tex]n = 34[/tex]
Hence, there are 34 distinct subset of the see that have three digit sums
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There are 34 distinct subsets of the see that have three-digit sums.
What are distinct subsets of the set?When we know that S is a subset of T, we place the circle representing S inside the circle representing T.
The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]\rm n_1=4\times (^3C_1+^3C_2+^3C_3)+1\\\\n_1=4(3+3+1)+1\\\\n_1=4 \times 7+1\\\\n_1=28+1\\\\n_1=29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]\rm n_2=2\times ^2C_1+1\\\\n_2= 2\times 2+1\\\\n_2=4+1\\\\n_2=5[/tex]
The distinct subsets of the set are;
[tex]\rm n_1+n_2=29+5 =34[/tex]
Hence, there are 34 distinct subsets of the see that have three-digit sums.
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