What is the approximate base area of the resulting figure?
Area of a circle: A = πr2
Answers
Answer: [tex]78.5\ cm^2[/tex]
Step-by-step explanation:
From the given we can see that there is a rectangle is rotated about a line bisecting its length in segment of 5 cm in each.
Since the base will be a circle, then the area of the base will be :-
[tex]\text{Area of base}=\pi r^2\\\\\\\Rightarrow\text{Area of base}=3.14\times(5)^2\\\\\\\Rightarrow\text{Area of base}=78.5\ cm^2[/tex]
Hence, the base area of the resulting figure = [tex]78.5\ cm^2[/tex]
The approximate base area of the rectangle is rotated about a line bisecting its length in segments of 5 cm in each is 78.5.
From the given, we can see that there is a rectangle is rotated about a line bisecting its length in segments of 5 cm in each.
Since the base will be a circle, then the area of the base will be
What is the area of the base?
A=pir^2
Where r is the radius of the circle.
A=3,14(5)^2
A=78.5.
Therefore, the approximate base area of the resulting figure is 78.5.
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Related Questions
Describe and correct the error made in solving the system of equations by elimination
Answers
correction :
5x + 3y - z = 15
-x + 2y + 3z = 10...multiply by 5
---------------------
5x + 3y - z = 15
-5x + 10y + 15z = 50 (result of multiplying by 5)
--------------------add
13y + 14z = 65
The error that was made is that the constant term in the second equation was not multiplied by 5.
How to solve these system of linear equations?In order to determine the solution to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method and Addition Method.
Based on the information provided, we have the following system of linear equations:
5x + 3y - z = 15 .........equation 1.
-x + 2y + 3z = 10 .........equation 2.
By multiplying the second equation by 5, we have the following:
(-x + 2y + 3z = 10) × 5 = -5x + 10y + 15z = 50 .........equation 3.
By adding equation 1 and equation 3, we have the following:
5x + 3y - z = 15
-5x + 10y + 15z = 50
13y + 14z = 65
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use the model to write an equivalent fraction 3 over 4
Answers
6/8 , 9/12 are the equivalent fraction 3 over 4
What is Fraction?A fraction represents a part of a whole.
The given fraction is 3/4.
In the given fraction the numerator is three and denominator is four.
We need to find the equivalent fractions of 3/4.
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.
Let us multiply with same number in numerator and denominator to find the equivalent fractions.
3/4×2/2=6/8
3/4×3/3=9/12
Hence, 6/8 , 9/12 are the equivalent fraction 3 over 4
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PRE-CAL/CAL MASTER NEEDED
f ( 2x − 1 ) = 4x^2 − 10x + 6
from f(x)=x^2-3x+2, h(x)=2x-1, f(h(x))
How is this: f ( 2x − 1 ) = 4x^2 − 10x + 6 derived from ^
Answers
Simplify. −2i ⋅ (−3i)
a.−6i
b. 6
c. −6
d. 6i
HURRY!
Answers
6i
6i^2
6 * -1
-6
Answer: C) -6 or the third option.
To simplify -2i * -3i, multiply -2 by -3 to get 6, then multiply i by i to get i². Because i² is equivalent to -1 in the complex number system, multiply 6 by -1 to get your answer, which is -6.
Explanation:When multiplying two complex numbers like −2i and (−3i), the 'i' terms get multiplied together separately to the numerical terms. This is due to the distributive property of multiplication.
So, if we apply the multiplication, we would have −2 multiplied by −3 which gives us 6. Then, i multiplied by i gives us i². The term i² is defined as -1 in the realm of complex numbers.
Putting these together we get 6 x -1, that results in −6.
Therefore, the simplified value of the expression is -6, which corresponds with option c.
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He burj khalifa is 828,000,000 micrometers tall. how is this value written in scientific notation in the gizmo™?
Answers
To write this in scientific notation, we have to move the decimal place to the left. Moving the decimal place to the left indicate a positive movement, therefore the correct scientific notation in this case is:
8.28 x 10^8 micrometers
Ok folks 4 questions and 50 points up for grabs for correct answers....Need quickly thanks!!!
Answers
1. 2*0.8 = 1.6 PQ = 1.6
2. arctan(14/12) = 49.4 degrees
3. 15 * cos(70) = 5.1 feet
4. x = 30 * cos(40) = 22.9813 = 23.0 miles
y = 30 *sin(40) = 19.2836 = 19.3 miles
Given the piecewise function shown below, select all of the statements that are true.
Answers
So b is correct
The statements f(1) = 0 and f(-1) = 2 are true based on the piecewise function.
Options B and C are the correct answer.
We have,
The piecewise function:
f(x) = -x + 1, x < 0
f(x) = -2, x = 0
f(x) = x² - 1. x > 0
Now,
f(-2) = 0
False.
When x = -2, we are in the first condition, so f(-2) = -(-2) + 1 = 3, not 0.
f(1) = 0
True
When x = 1, we are in the third condition, so f(1) = (1)² - 1 = 0.
f(-1) = 2
True
When x = -1, we are in the first condition, so f(-1) = -(-1) + 1 = 2.
f(4) = 7
False.
When x = 4, we are in the third condition, so f(4) = (4)² - 1 = 15, not 7.
Therefore,
The statements f(1) = 0 and f(-1) = 2 are true.
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how do i use parentheses to rewrite 16 - 4 × 3 + 7 so that it equals 120?
Answers
(16-4) x (3+7) =120
when we subtract 16 and 4 you get 12.
When we add 3+7 you get 10.
After multiplying them together we get 120.
What are parentheses those called?
parentheses
Parentheses are a pair of punctuation marks that might be most customarily used to feature extra nonessential information or an aside to a sentence. Parentheses resemble two curved vertical lines: ( ). An unmarried one of these punctuation marks is called a parenthesis.
How do you operate parentheses?Use parentheses to surround additional or supplemental data that clarifies or illustrates a point. Use parentheses to offer a digression or afterthought.Use parentheses to surround numbers or letters introducing objects in a list or outline.Learn more about parentheses here: https://brainly.com/question/1473593
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Tamara’s dosage of medication has recently decreased 20 milligrams per day. What is the total decrease in Tamara’s medication at the end of the week? Show your work.
Type answer here
Answers
what us the average rate of change
Answers
the rate of change is -2 for every set shown in the chart on the right
so 6 to 7 would be -11 -2 = -13
7 to 8 would be -13-2 = -15
8 to 9 = -15-2 = -17
B is the answer
Ms. Sims is putting away 22 books. She can put them on the table in stacks of 10 or as single books. What are the different ways Ms. Sims can put away the books?
Answers
Answer:
1)[tex]10+10+1+1=22[/tex]
2)[tex]10+1+1+1+1+1+1+1+1+1+1+1+1=22[/tex]
Step-by-step explanation:
Mrs. Sims has to put 22 books.
She can either put them in stacks of 10 or arrange them as single book(single stack).
There could be two ways in which she could arrange the books.
First way:
She could arrange the books in two stacks of 10 books ([tex]2\times10=20[/tex] and the remaining two books can be arranged as single books.
So, the arrangement is [tex]10+10+1+1=22[/tex]
Second way:
She could arrange books in one stack of 10 books and and remaining twelve books can be arranged as single books.
So, the arrangement is [tex]10+1+1+1+1+1+1+1+1+1+1+1+1=22[/tex]
Solve the equation, and check the answer
5g+4(-5+3)=1-g
Answers
(-5+3)=-2
-3/-2=1.5
1.5 times 5=7.5
g=7.5
Evaluate the expression for the given value.
36 ÷ m when m = 9
A.
324
B.
45
C.
27
D.
4
Answers
36/9=4
Final answer: D
answer
D.
4
----------------------
What is 26.99 round to the nearest tenth
Answers
To round to the nearest tenth, you need know whether the number next to tenth place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down. Now, in the number 26.99 9 is in the tenth place. The number next to 9 is greater than 5, so just add on to the ones place, making the tenth and hundredth place 0. Zero has no value so whether you add the zero or not, it does not matter.
26.99 round to the nearest tenth ≈ 27
Hope I helped (:
Have a great day!
To round 26.99 to the nearest tenth, we increase the tenths place by 1 because the hundredths place is 9, resulting in 27.0.
When rounding 26.99 to the nearest tenth, we need to look at the hundredths place, which is 9. Since 9 is greater than 5, we round up the digit in the tenths place by 1. Therefore, the number rounded to the nearest tenth is 27.0.
y = 4
y = 1/4 x +2
What is the x coordinate of the solution to the system of the linear equations?
A. 0
B. 2
C. 4
D. 8
Answers
4=1/4x+2
2=1/4x
8=x
A child is to receive a dose of 0.5 teaspoon of cough medicine every 6 hours. If the bottle contains 24 doses, how many days will the medicine last?
Answers
A ladder leans against the side of a house. The top of the ladder is 10 ft from the ground. The bottom of the ladder is 6 ft from the side of the house. Find the length of the ladder. If necessary, round your answer to the nearest tenth
Answers
10^2 + 6^2 = c^2
100 + 36 = c^2
136 = c^2
sqrt 136 = c
11.7 = c.....the ladder is 11.7 ft
The length of the ladder is 11.66 ft.
What is the Pythagoras theorem?The sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
a² + b² = c²
Given that a ladder leans against the side of a house. The top of the ladder is 10 ft from the ground. The bottom of the ladder is 6 ft from the side of the house.
Let the length of the ladder be x
Therefore, using Pythagoras theorem
x² = 10² + 6²
x² = 100 + 36
x = [tex]\sqrt{136[/tex]
x = 11.66 ft
Hence, the length of the ladder is 11.66 ft.
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A home is to be built on a 56 foot 9 inch wide lot. The house is 5 feet 5 inches from the side of the lot and is 34 feet 10 inches wide. How far is the house from the other side of the lot?
Answers
so, there are 12 inches in 1 foot, so let's just convert all those feet to inches and subtract them.
[tex]\bf 56'\implies (56\cdot 12)''\implies 672'' \\\\\\ 5'5''\implies (5\cdot 12+5)''\implies 65'' \\\\\\ 34'10''\implies (34\cdot 12 + 10)''\implies 418''\\\\ -------------------------------\\\\ 672''-(65+418)''\implies 189''\implies 15'9''[/tex]
Answer:
132
123
Step-by-step explanation:
The tax rate as a percent, r, charged on an item can be determined using the formula – 1 = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?
Answers
Answer:$43.20
Step-by-step explanation:
A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is
Answers
so equation
y = -2x + 3
hope it helps
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 10 fl oz per hour. How fast was the pipe leaking in gallons per day?
Answers
Answer:
The pipe is leaking at the rate of 1.875 gallons of water per day.
Step-by-step explanation:
In this question we will find the leakage per day first, then convert it into gallons.
The janitor discovered a leak, leaking with a rate = 10 oz per hour
And we know that there are 24 hours in a day therefore, pipe leaking per day will be = 24×10 = 240 oz.
Since 1 oz = 0.0078125 gallons
Therefore, 240 oz = 240×0.0078125
= 1.875 gallons
The pipe is leaking at the rate of 1.875 gallons of water per day.
Water is flowing out of a conical funnel through its apex at a rate of 12 cubic inches per minute. If the tunnel is initially full, how long will it take for it to be one-third full? What is the height of the water level? Assume the radius to be 3 inches and the altitude of the cone to be 4 inches.
Answers
so, bearing in mind that, the radius and height are two sides in a right-triangle, thus both are at a ratio of each other, thus the radius is at 3:4 ratio in relation to the height.
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=3\\ h=4 \end{cases}\implies \stackrel{full}{V}=\cfrac{\pi \cdot 3^2\cdot 4}{3}\implies \stackrel{full}{V}=12\pi \\\\\\ \stackrel{\frac{2}{3}~full}{V}=12\pi \cdot \cfrac{2}{3}\implies \stackrel{\frac{2}{3}~full}{V}=8\pi ~in^3 \\\\\\ \textit{is draining water at a rate of }12~\frac{in^3}{min}\qquad \cfrac{8\pi ~in^3}{12~\frac{in^3}{min}}\implies \cfrac{2\pi }{3}~min[/tex]
[tex]\bf \textit{it takes }\frac{2\pi }{3}\textit{ minutes to drain }\frac{2}{3}\textit{ of it, leaving only }\frac{1}{3}\textit{ in it}\\\\ -------------------------------\\\\ \stackrel{\frac{1}{3}~full}{V}=12\pi \cdot \cfrac{1}{3}\implies \stackrel{\frac{1}{3}~full}{V}=4\pi\impliedby \textit{what's \underline{h} at this time?} \\\\\\ V=\cfrac{\pi r^2 h}{3}\quad \begin{cases} r=\frac{3h}{4}\\ V=4\pi \end{cases} \implies 4\pi =\cfrac{\pi \left( \frac{3h}{4} \right)^2 h}{3}[/tex]
[tex]\bf 12\pi =\cfrac{\pi \cdot 3^2h^2 h}{4^2}\implies 12\pi =\cfrac{9\pi h^3}{16}\implies \cfrac{192\pi }{9\pi }=h^3 \\\\\\ \sqrt[3]{\cfrac{192\pi }{9\pi }}=h\implies \sqrt[3]{\cfrac{64}{3}}=h\implies \cfrac{4}{\sqrt[3]{3}}=h \\\\\\ \cfrac{4}{\sqrt[3]{3}}\cdot \cfrac{\sqrt[3]{3^2}}{\sqrt[3]{3^2}}=h\implies \cfrac{4\sqrt[3]{9}}{\sqrt[3]{3^3}}=h\implies \cfrac{4\sqrt[3]{9}}{3}=h[/tex]
Can you use the values in Pascal’s triangle to find the powers of 11? Explain.
Answers
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Yes!
Ultimately (it states) all numbers in existence can be extracted from Pascal's Triangle. Using his binomial formation of: (a + b)^0 = 1 , where y is the number you are using. and (a + b)^x is the equation you use to find the answer of that row... the usage of that row, and the formation of its components is how you find the powers of numbers in a given row...
You would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution, and
If you look at the images below you will notice that to find a power of 11 at it's 6th power, you look at the 6th row of Pascal's Triangle... Although not completely relevant, I also added an image of using his Triangle to find the Powers of 2...
Remember, The images below are of only smaller versions of Pascal's Triangle, as his Triangle is of infinite size...
Yes, we can use the values in Pascal’s triangle to find the powers of 11
What is Pascal triangle?Pascal triangles contains coefficient of (x + 1)'s expanded form's terms.
For first row, we have:
Thus, 1 is the value in the first row of Pascal triangle.
(x + 1) = 1
The variable x has coefficient 1, and that 1 itself, so second row of Pascal triangle has 1 , 1 as values.
It states that all numbers in existence can be extracted from Pascal's Triangle.
Using his binomial formation;
(a + b)^0 = 1 , where y is the number
(a + b)^x is the equation that use to find the answer of that row. the usage of that row, and the formation of its components isto find the powers of numbers in a given row.
It would be able to find each row of the Triangle, and by using the association of Multiplication, addition, distribution.
Yes, we can use the values in Pascal’s triangle to find the powers of 11
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A produce store sold 63 red apples. If the ratio of red apples to green apples sold was 7:2, what is the combined amount of red and green apples sold?
Answers
cross multiply
(7)(g) = (2)(63)
7g = 126
g = 126/7
g = 18
so they sold 63 red apples and 18 green apples...for a total of (63 + 18) = 81 apples sold
The total number of apples sold if, A produce store sold 63 red apples, The ratio of red apples to green apples sold was 7:2, which is 81.
What is the ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given:
A produce store sold 63 red apples,
The ratio of red apples to green apples sold was 7:2,
Assume the total number of apples sold is x then,
Total number of apple sold = 7x + 2x
But the number of red apples sold is given so,
7x = 63
x = 63 / 7
x = 9
Put the value of x in the above equation,
Total number of apple sold = 7 × 9 + 2 × 9
Total number of apple sold = 63 + 18
Total number of apples sold = 81
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What is the e-file rejection error for an Invalid bank account or routing transit numbers?
Answers
Answer;
The Error code "0019".
Explanation;
-The e-file rejection error for an invalid bank account or routing transit numbers is error code "0019".
-This error code may be caused by a variety of reasons and is present in tax accounting software, where an e-file sent to the IRS is rejected, hence the error name. An incomplete installation might be one of the several reasons behind an e-file rejection error.
How long does it take $450 to double at simple interest rate of 100%
Answers
hope this helps
(it can be daily, weekly, monthly, etc)
Final answer:
It will take 1 year for $450 to double at a simple interest rate of 100%, as the simple interest formula shows that the interest equals the principal when the rate is 100% and time is one year.
Explanation:
To calculate how long it takes for $450 to double at a simple interest rate of 100%, we can use the formula for simple interest: Interest = Principal × Rate × Time. Since the goal is to double the principal, the interest earned should be equal to the principal of $450.
The simple interest formula in this shape becomes:
$450 = $450 × 1 × Time
When we simplify this, we find that Time equals 1.
Therefore, it will take 1 year for $450 to double at a simple interest rate of 100%.
Simplify and determine the coefficient of (-x)(3y)(-2x).
a.-4
b.1/3
c.1
d.4
Answers
In order to simplify and determine only one coefficient we should multiply all three constants together to get only one numerical constant .
The commutative law says hat you can rearrange a multiplication any way you want. so, (-1)*3*(-2)=(-3)*(-2)=6
The equation can be also simplified written as:
6x^2y
None of the option is the solution.
well.. i just got the same problem.. With the same multiple choice.. I'm going to put one. I might update with my score on the test after i finish. (this is an old question that i thought i might answer with my guess)
Corey needs 24 boards that ate 47 1/ 2 inches long. How many feet of boards should he buy. Explain
Answers
keep in mind that there are 12 inches in 1 foot.
[tex]\bf 24\cdot 47\frac{1}{2}\implies 24\cdot \cfrac{47\cdot 2+1}{2}\implies 24\cdot \cfrac{95}{2}\implies \cfrac{24}{1}\cdot \cfrac{95}{2}\implies \cfrac{2280}{2} \\\\\\ \stackrel{inches}{1140}\implies 1140~\underline{in}\cdot \cfrac{ft}{12~\underline{in}}\implies \cfrac{1140~ft}{12}\implies 95~ft[/tex]
What is the value of digit 0 in 175,028
Answers
Answer:
its in the hundreads place but it has no value becuase its 0
Step-by-step explanation:
(09.05) A golf ball is hit from the ground with an initial velocity of 208 feet per second. Assume the starting height of the ball is 0 feet. How long will it take the golf ball to hit the ground?
Answers
The amount of Time that it would take for the golf ball to hit the ground using the given parameters is; 13 seconds
How to solve projectile problems?
We are given;
Initial Velocity = 208 feet per second
Initial height = 0 ft
Now, the general equation to be used here is;
h(t)= -16t² + 208t
Factorizing the equation gives;
h(t) = -16t(t - 13)
At h = 0, we have;
-16t(t - 13) = 0
Thus;
t = 13 seconds
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