Answers
11² = 121
60² = 3600
121 + 3600 = 3721
√3721 = 61
Related Questions
32.1in.×28.2in.×1ft.=
Answers
since 2 of the 3 are in inches convert the 3rd one to inches
1 foot = 12 inches
now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches
A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?
Answers
C = 2π*61 = 122π cm
If the wire forms sector with a radius of 88 cm (as shown in the figure), then the length of the circular sector is
S = 122π - 2*88 = 207.2743 cm
Because the central angle is θ radians, therefore
88*θ = 207.2743
θ = 2.3554 radians
= (2.3554 rad)*(180 deg/rad)
= 134.95°
Answer:
The angle subtended by the sector is 135° (nearest whole number)
You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.
Answers
The solution of the given equation is x=12. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3+4x=51.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Subtract 3 from both sides, we get
4x=48
Divide both sides by 4, we get
x=12
Therefore, option C is the correct answer.
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one light flashes every 18 seconds and the other flashes every 12 seconds. If they flash together at 8:00pm, what is the next time that they will flash together?
Answers
The LCM will be the product of the highest occurring primes of the numbers prime factorization.
12=2*2*3, 18=2*3*3
So the LCM is 2*2*3*3=36
So the lights will flash again at the same time 36 seconds after 8 pm, or if you prefer:
8:00:36
What is the initial value of y=-2x-5
Answers
This problem can be solved easily. The equation states that y is a function of x. Since this is the case, then we can get the initial value of the function when x = 0. Therefore by substitution:
y = - 2 x -5
y = - 2 (0) – 5
y = -5 (ANSWER)
Final answer:
The initial value of the equation y=-2x-5 is -5, which represents the y-intercept of the graph where it crosses the y-axis.
Explanation:
The initial value of the linear equation y=-2x-5 refers to the y-intercept, which is the value of y when x is equal to zero. In this equation, when we set x to 0, y will be -5. This is because the initial value is the value of the function when it starts or when no other changes have been applied to x. It is the point where the graph of the equation crosses the y-axis.
gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to work out?
Answers
Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - £6,475)
= £5,525
Hence, the taxable income is equal to £5,525.
Net income:
This would be equal to the gross income minus the amount of taxes to be paid.
Net income = Gross income - amount of tax to be paid
Net income = (£12,000) - (0.20)($5,525)
Net income = $10,895
Therefore,
ANSWER: $10,895
Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.
Answers
the proportion is also 3:5
Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
What are Similar Triangles?If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.
Thus:
BC/EF = AC/DF
Substitute8/2x = 3/5
Cross multiply40 = 6x
Divide both sides by 6x = 6⅔.
In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
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An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?
Answers
55% of 40 = 0.55(40) = $ 22 <== sale price
45% = 0.45
40 * 0.45 = 18
Subtract the discount amount from the original amount.
40 - 18 = 22
So, $22 is the answer.
Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2, ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54
Answers
Answer:
The answer is B
Step-by-step explanation:
The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio is,
⇒ 3
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Now,
Since, The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Hence, The common ratio = 2/3 ÷ 2/9
= 2/3 × 9/2
= 3
So, The next three terms are find as,
⇒ 2 × 3 = 6
⇒ 6 × 3 = 18
⇒ 18 × 3 = 54
Thus, The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio = 3
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The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72
Answers
bigger number is x + 8
The sum of two numbers is 72
so
x + (x+8) = 72
answer
x + (x + 8) = 72
y = x + 8......y is the greater number
x + (x + 8) = 72 <==
Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
Answers
Answer:
Option D.
Step-by-step explanation:
As per given statements we see the time of Sasha practice it increases by a fixed factor of '2' or we can say Sasha's time is multiplied by '2' every week.
When we see the time of Mona's practice, it increases by 10 mins every week. hence there is a addition of a fixed number '10'.
so option D is correct which says Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?
Answers
So x represents the number of bananas we can buy. Now let's set up the inequality.
0.39x ___ 5.85
Since we can't go greater than 5.85, we can use that less than or equal to sign.
0.39x ≤ 5.85
^ the answer
Hope this helps! :)
b≤15
0≤b≤15
So you can purchase any amount of bananas from zero to fifteen.
f (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?
Answers
h(f(x))=3x^2+6
g(h(f(x)))=(3x^2+6)^3+2
g(h(f(-1)))=(3(-1)^2+6)^2+2
g(h(f(-1)))=(3+6)^2+2
g(h(f(-1)))=81+2
g(h(f(-1)))=83
Answer:
It's 8
Step-by-step explanation:
Took one for the team and got it wrong to get the right answer which is 8. Just took it. Edg 2020. Hope this helps :)
Btw be confident today cause honey you are beautiful! Just see what a little confidence in yourself can do <3
what is the median of 2, 20, 19, 15, 11, 9, 7, 1
Answers
Ans: 10
The [tex]sum[/tex] would be [tex]84[/tex]
[tex] \frac{84}{8} = 10.5[/tex]
So, the [tex]mean[/tex]: [tex]10.5 [/tex]
Your [tex]median[/tex] would be: [tex]10 [/tex]
Your [tex]mode[/tex] would be: [tex]2, 20, 19, 15, 11, 9, 7, 1[/tex]
Your answer: [tex]10 [/tex]
Good Luck on Your assignment!
A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?
Answers
1/4 of an hour
68 miles per hour
multiply 68 by 1/4 = 68/1 *1/4 = 68/4
divide 68 by 4
68/4 =17
it can swim 17 miles
you just divide 1/4 by 68 and you get 17
Jackie's total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ??
Thank you so much :)
Answers
Then the number of quarters is twice x = 2x
And the number of dimes is three times x = 3x.
So, the total number of coins is x + 2x + 3x = 240
=> 6x = 240
=> x = 240 / 6
=> x = 40
=> Number of nickels = x = 40
Number of quarters = 2x = 80
Number of dimes = 3x = 120
Verification: 40 + 80 + 120 = 240
Answer: nickles 40, quarters 80, and dimes 120.
Find the value of x in the kite below. Angle TCU measures (7x – 1)° Kite TUVW, with congruent angles T and V, diagonals intersect at point C
x = 12.7
x = 14
x = 13
x = 14.3
Answers
x = 91/7 = 13
Its the 3rd choice
A bed & bath company intends to ship out 28,457 blue blankets, and three times as many white blankets. If each box contains 55 blankets of either color, how many full boxes of blankets can be packed, and how many blankets are left over for the last box?
Answers
28457 x 3 = 85371 white blankets
85371 + 28457 = 113,828 total blankets
113828/55 = 2069.6 total boxes
so 2069 full boxes
and 55*.6 = 33 left over blankets
Which step comes last when using the divide-center method to find the trend line on a scatterplot?
A Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line.
B Connect the two centers to produce the trend line.
C Disregard all outliers.
D Draw a vertical line so that each side has the same number of data points.
Answers
The first one is Draw a vertical line so that each side has the same number of data points.
The second one is mark with a special sign, the middle value in each of the two sets obtained in the previous step.
The third one is join the two marks mentioned in the point with a straight line, and extend it to the edges of the graph. This line called the trend line and this is the last step.
So the answer is letter B.
Answer: its B
Step-by-step explanation:
I know
Applicant 2 2/3 pages in five minutes how many pages per hour
Answers
1 hour=60 minutes
Let x represent the total pages in an hour
8/3 pages in 5 minutes
x pages in 60 minutes
Use cross multiply
x(5)=8/3(60)
5x=160
Divided 5 to each side
5x/5=160/5
x=32 pages per hour. As a result, there will be 32 pages per hour. Hope it help!
__________________________________________
Explanation:
_____________________________________________
Set up a ratio:
______________________________________________
2 ⅔ pages : 5 minute:: x pages: 1 hour ; Solve for "x" ;
Rewrite as:
_______________________________________
(2 ⅔ pages) / 5 minutes = "x" pages/ 1 hour.
Cross-multiply ; and write as:
(5 minutes) ("x" pages) = (2 ⅔ pages) / 1 hour. ;
________________________________________
Convert the "5 min" to its values in units of "hour" ;
________________________________________
5 min = ? hour ?
________________________________________
5 min * ([tex] \frac{1 hour}{60 min} [/tex] = ([tex] \frac{5}{60} [/tex] hr ;
([tex] \frac{5}{60} [/tex] hr = [(5÷5)/(60÷5)] hr = (1/12) hr.
___________________________________________________
So we take our ratio, which is in the form of an equation, as follows:
___________________________________________________
(5 minutes) ("x" pages) = (2 ⅔ pages) * 1 hour.
___________________________________________________
and rewrite — substituting "(1/12 hr)" in lieu of "(5 min)" — as follows:
___________________________________________________
(1/12) * ("x" pages) = (2 ⅔ pages) * (1) ; Solve for "x" ;
___________________________________________________
Divide EACH SIDE of the equation by: "(1/12 hr)"; or, more efficiently, multiply EACH SIDE of the equation by "12 hr" ; since "dividing by "(1/12)" is the same as multiplying by "12" ;
(i.e. on the "left hand side" of the equation:
[ (1/12) x ] / (1/12) = x ;
AND: (1/12)x * 12 = (1x/12) * (12/1) = (12x/12) = x ; the same result.
{or: (1/12)x * 12 = (x/12) * (12/1) = ? ; The "12's" cancel out to "1's" ;
since: "12÷12 = 1" ; and we have:
" (x/1) * (1/1) = x * 1 = x ; which is the same value.
_____________________________________________________
to isolate "x" on one side of the equation:
_____________________________________________________
So, as explained above, we multiply EACH SIDE of the equation by "12" ; as follows:
_____________________________________________________
[ (1/12 hr) * ("x") ] * 12 = (2 ⅔ pages) * (1) * (12) ;
______________________________________________
Simplify:
______________________________________________
x = (2 ⅔ pages) * (12) ;
x = (8/3) * (12/1) = ?
The "3" cancels to a "1" ; and the "12" cancels to a "4" ;
_____________________________________________
since: "12÷3 = 4" ; and since: "3÷3 = 1 ".
_____________________________________________
So rewrite as:
_____________________________________________
x = (8/1) * (4/1) = 8 * 4 = 32 pages.
_____________________________________________
Alternate:
_____________________________________________
When we have: x = (2 ⅔ pages) * (12) ;
x = (8/3) * (12/1) = (8*12)/ (3*1) = 96/3 = 32 .
x = 32 pages.
_______________________________________________
Alternate:
_______________________________________________
When we have: x = (2 ⅔ pages) * (12) ;
x = (8/3) * (12/1) = (8*12)/ (3*1) ;
x = (8*12)/ (3*1) ;
__________________________________________________
We can cancel out the "12 in the numerator" and the "3" in the denominator, and replace with "4" and "1", respectively; and rewrite as:
x = (8*4) / (1*1) = (32/1) = 32.
x = 32 pages per hour.
__________________________________________________
Find the circumference of the following circle. (Use 3.14 for π.)
15.7 in.
78.5 in.
19.63 in.
31.4 in.
Answers
The given diameter is 5 and radius is half of diameter, so the radius is 2.5.
Plus that into the formula.
2*pi*2.5 equals approx. 15.7
The circumference of the circle is 15.7 inches.
What is circumference?Circumference can be defined as the total distance around a circle.
To calculate the circumference of the circle, we use the formula below.
Formula:
P = πd............... Equation 1Where:
P = Circumference of the circled = Diameter of the circleπ = pie.From the question,
Given:
d = 5 inchesπ = 3.14Substitute these values into equation 1
P = 3.14×5P = 15.7 inches.Hence, The circumference of the circle is 15.7 inches.
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2x+3y=-5
3x-5y=21
The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution
Answers
Hope it helps.
A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
Answers
60/25 = 2.4
2.4 x 2 = 4.8 inches = 60 miles
25/2 = 12.5 for 1 inch
12.5/4 = 3.125 miles for 1/4 inch
In December, 2003, the average price for a gallon of regular gas in the United States was $1.50. (A) Gerald paid $12.60 for a tank of gas. How much did he pay?
Answers
So Gerald paid for 8.4 gallons of gas.
Answer: He paid for 8.4 gallons.
Step-by-step explanation:
Since we have given that
Average price for a gallon of regular gas = $1.50
Amount paid for a tank of gas = $12.60
So, Number of gallons would be
[tex]\dfrac{\text{Total cost}}{\text{Average price}}\\\\\\=\dfrac{12.60}{1.50}\\\\\\=8.4\ gallons[/tex]
Hence, He paid for 8.4 gallons.
A telephone pole casts a shadow that is 37 m long. Find the height of the telephone pole if a statue that is 33 cm tall casts a shadow 83 cm long.
Answers
p/37=33/83
p=37(33)/83
p=1221/83 m
p≈14.711 m (to nearest thousandth of a meter, or nearest millimeter)
The length of of a rectangle is 10mm and the width is 2.5mm, what is the area
Answers
*just in case you get confused
so the length is 10, and the width is 2.5 so you plug in.
10 x 2.5 = 25
your answer is 25 mm²
hope this helps
A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)
Answers
"EXPLAIN PLEASE" Which equation does the graph below represent
Answers
Can a triangle be drawn with the following angle measures? Why or why not?
50°, 70°, 70°
Answers
no, the 3 angles of a triangle need to equal 180 degrees
70 +70 +50 = 190 degrees so it cant be a triangle.
~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?
Answers
number = 25/2, c = (25/2)^2 = 625/4