Find the perimeter of the room, which is the sum of all four sides:
12 + 12 + 7 + 7 = 38 feet.
The cost would be 38 ft x 0.97 per foot = $36.86
What is the volume of a sphere with a radius of 25. 9 in, rounded to the
nearest tenth of a cubic inch?
Answer:
Step-by-step explanation:
Formula
V = (4/3) pi r^3
Givens
pi = 3.14
r = 25.9 inches
Solution
V = (4/3) pi r^3 Substitute values
V = (4/3) * 3.14 * 25.9^3
V = (4/3) * 3.14 *17373.98
V = 72739.1
Help me on calculating the area of the shaded part
Answer:
[tex]1051 .55 {mm}^{2} [/tex]
Step-by-step explanation:
Find the area of the square - area of 4 sectors
We'll use the formula to find one sector area
[tex]a = \frac{1}{2} \times {r}^{2} \times x[/tex]
where r is the radius of one sector and x is the angle in radians
Since each angle is in a square, the angle of the sectors is 90 degrees.
Convert degrees to radians
[tex]90 = \frac{1}{2} \pi \: rad[/tex]
The radius of one sector is given by 70mm/2=35mm
One sector area:
[tex] \frac{1}{2} \times {35}^{2} \times \frac{1}{2} \pi = 306.25\pi[/tex]
Area of all 4 sectors:
[tex]4 \times 306.25\pi = 1225\pi[/tex]
Area of the square:
[tex]70 \times 70 = 4900[/tex]
Hence, Area of square - 4 Sectors:
[tex]4900 - 1225\pi = 1051.55 {mm}^{2} (2dp)[/tex]
Answer:
1053.50 mm^2
Explanation:
first calculate the area of square ABCD
area of ABCD = AB × AB
= 70 × 70 = 4900 mm^2
if you look closely, there are 4 quater-circles with radius (AB/2 = 35 mm) and their center A,B,C and D.
now
area of any one quater circle =( pi × r^2 )/4
area of 4 quater circle =(pi × r^2)
where, pi = 3.14 and r = radius of quater circle
area of 4 quater-circle = (3.14 × 35^2)= 3846.50 mm^2
hence area of shaded region = area of square - area of 4 quater circles
= 4900 - 3846.50
=1053.50 mm^2
Jasmine loves to babysit. On Saturday, she babysat from 3:29 p.m. to 4:52 p.m. On Sunday, she babysat from 1:37 p.m. to 3:16 p.m. How long in total did she babysit? Explain how you found the answer.
trim the exam the equation below and said that the equation has exactly one solution -8(x - 4) + 2x = -4(x - 8) - 2x which explains whether Trina is correct:
a.) Trina is correct because the two sides of the equation are equivalent
b.) Trina is correct because the two sides of the equation are not equivalent
c.) Trina is not correct because the two sides of the equation are equivalent
d.) Trina is not correct because the two sides of the equation are not equivalent
I'm super confused on this can somebody help me
The answer is C Trina is not correct because the two sides of the equation are equivalent
The perimeter of the original figure is 68 feet and the perimeter of the scale drawing is 17 feet. What is the scale factor of the reduction? One-fourth 3 4 8.
The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor. The scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].
What is a scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic. The copy will be bigger if the scaling factor is a full number. The duplicate will be smaller if the scaling factor is a fraction.
As it is given that the perimeter of the original figure is 68 feet while the perimeter of the scale drawing is 17 feet. therefore, the scale factor can be written as,
[tex]\rm Scale\ factor = \dfrac{\text{Perimeter of the Scale Drawing}}{\text{Perimeter of the Original Drawing}}[/tex]
[tex]\rm Scale\ factor = \dfrac{17}{68} = \dfrac{1}{4}[/tex]
Hence, the scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].
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Answer:
It’s 1/4
Step-by-step explanation:
SOMEONE PLS HELPPPPP
Answer:
answer will be 3rd graph----------------------------------------------
The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play. 29, 5, 26, 20, 23, 18, 17, 21, 28, 20 Order the values: 5, 17, 18, 20, 20, 21, 23, 26, 28, 29 Determine the median: StartFraction 20 21 Over 2 EndFraction = StartFraction 41 Over 2 EndFraction = 20. 5 Calculate the measures of variability for the data set. The range is touchdowns. The interquartile range is touchdowns.
Using the statistical formula, the median of the given data-set is 20.5.
It is given that
Number of touchdowns in 10 sessions are:
29, 5, 26, 20, 23, 18, 17, 21, 28, 20
What is a median?The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.
For the median, let us arrange the given data in ascending order.
5, 17, 18, 20, 20, 21, 23, 26, 28, 29
Number of terms = 10
Median of n terms when n is even is given by:
(n/2^th term+ (n/2 +1)^th term)/2
n/2 th term = 5th term = 20
(n/2+1)th term = 6th term = 21
So median= (20+21)/2 = 20.5
Therefore, the median of the given data-set is 20.5
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Answer:
The range is 24 touchdowns.
The interquartile range is 8 touchdowns.
Step-by-step explanation:
lim x-V16-12
D
x4
Plz help
Answer:lim x- √16-x²=32
Step-by-step explanation:
[tex]x^{4}[/tex]-16
=(x²)²-4²
=(x²-4)(x²+4)
=(x²-2²)(x²+4)
=(x-2)(x+2)(x²+4)
So:
[tex]\frac{x^{4}-16 }{x-2}[/tex]=[tex]\frac{(x-2)(x+2)(x^{2}+4) }{(x-2)}[/tex]=(x+2)([tex]x^{2}[/tex]+4)
with exclusion:
x[tex]\neq[/tex]2
Hence:
lim [tex]\frac{x^{4}-16 }{x-2}[/tex]
x-2
((x+2)([tex]x^{2}[/tex]+4))=
((2)+2)((2)²+4)=4⋅8=32
Find the value of x in the parallelogram.
xº
63º
Answer:114Step-
Step-by-step explanation:
Answer: x = 114Step-by-step explanation:Angle A is equivalent to angle D because of the properties of parallelograms. So we know angle A is 66 degrees. Angles C and B also have the same measure because they are opposite angles. The sum of all four angle measures is 360 degrees. Therefore, you can write this equation:m<A + m<B + m<C + m<D = 360 Step 1) plug in the degree measure of each angle that you know. (I will represent angle C with “x”)66 + m<B + x + 66 = 360(We know that the m<B is the same as m<C, so we can plug in “x” for m<B)66 + x + x + 66 = 360(x + x is the same as 2x)66 + 2x + 66 = 360(66 + 66 = 132)132 + 2x = 360Step 2) solve for x by continuing with this equation: 132 + 2x = 360(Subtract 132 from both sides)2x = 228(Divide by 2 on both sides)x = 228/2(228/2 equals 114)x = 114Check:Add all four angle measures. It should add up to 360.66 + 114 + 114 + 66180 + 114 + 66294 + 66360Yay it worked! FYI: the angles that are across from each other in a parallelogram are always congruent. The sides that are opposite (across from) each other are also congruent. All 4 angles in a parallelogram will add up to 360 degrees. This info will help when you’re solving for the sides or angles of a parallelogram. Good luck!
Megan is 109 cm tall sunil is 137 cm how much taller is sunil than megan
Answer:
sunil is 28 cm taller than Megan
Answer:
28cm
Step-by-step explanation:
so basically
Sunil take away Megan =answer
137-109=28cm
BRAIILEST IF CORRECT
The surface area of the prism is _____ square units. All measurements in the image below are in units. (Input whole number only.)
A triangular prism is shown with 2 right triangular sides having legs 4 and 3 and hypotenuse 5. The length of the prism is 4.5
Answer:
54 and here is why..
Step-by-step explanation:
In order to calculate the surface are of the prims, you have to calculate the area of each face of the prism, also you have to remember the different formulas to calculate the areas:
Rectangle will be (Length x Width) and
Triangle will be (Base x Height / 2)
SOOO, You just have to insert the values into formulas:
Rectangle1 = 4 x 3.5
Rectangle1 = 14
Rectangle 2 = 5 x 3.5
Rectangle 2 = 17.5
Rectangle 3 = 3 x 3.5
Rectangle 3 = 10.5
Triangle 1 = 4 x 3 / 2
Triangle 1 = 6
Triangle 2 = 4 x 3 / 2
Triangle 2 = 6
SOoo again, if you add all the faces, you get the surface area of the prims:
14+17.5+10.5+6+6=54
I hope this help you my friend, have a good day
Answer:
Step-by-step explanation:
Give him brainliest
Amrit's income is 32% more than Bethan's income. Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Can you show your working?
b = Bethan's Income
hmmm how much is 32% of "b" anyway?
[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{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}[/tex]
"given that g(x) = x^2-5, work out the value of: g(0) g(2) g(4)"
Answer:
g(x)= x^2-5
g(0)= (0)^2-5
= 0-5
= -5
g(2)= (2)^2-5
= 4-5
= -1
g(4)= (4)^2-5
= 16-5
=11
(a) If NC. 200 = 2.45 Australian dollar and 8816 Australian dollar 8152 Canadian dollar. how much Canadian dollar can be exchanged with NC, 45000 ?
The amount of Canadian dollar that can be exchanged with NC. 45000 is; 533.69 canadian dollar
What is the currency equivalent?
We are told that;
NC. 200 = 2.45 Australian dollar
8116 Australian dollar = 8152 canadian dollar
Thus;
NC per Australian dollar = 200/2.45 NC/AUS Dollar
Thus;
200/2.45 NC = 1 Australian dollar
8116/8152 Australian dollar = 1 canadian dollar
Since 1 Australian dollar = 200/2.45 NC , then
8116/8152 Australian dollar = 8116/8152 * 200/2.45
⇒ 81.272 NC
Thus;
81.272 NC = 1 canadian dollar
Then; NC.45000 = 45000/81.272 = 533.69 Canadian dollar
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A lime has a mass of 90 grams, and is in the shape of a sphere with radius 1 point
2.5 centimeters. What is the density of the lime?
The density of the lime is 1.38 g/cm^3.
What is the density of a lime?
Remember that the density is given by the quotient between mass and volume.
Here, the lime is a sphere with a radius of 2.5 cm, remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
So our lime has a volume:
V = (4/3)*3.14*(2.5 cm)^3 = 65.42 cm^3
And the mass is M = 90 grams, then the density is:
D = M/V = (90 g)/(65.42 cm^3) = 1.38 g/cm^3
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5 yr. 8 mo.
8 yr. 6 mo.
+ 4 yr. 5 mo.
We’re the answer
Pete Brodes dirt bike 2/3 of a 150 mile course how many miles did Pete ride?
Answer:
100
Step-by-step explanation:
The fraction 2/3 says there are 3 total parts to the track, but Pete only rode 2 of them.
In this type of problem you always multiply the amount of the whole (150) times the fraction of the whole you are calculating (2/3) to get the answer.
150*2 = 300 divided by 3 = 100
Or 150 * (2/3) = 150 * 0.66667 = 100
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
3 3/4 mph
Answer:
it would take 3/5 of an hour or 0.6 as a decimal
Step-by-step explanation:
3 3/4 divided by 2 1/4 is 3/5 or 0.6
Hope this helped!
Answer:
it would take 3/5 of an hour or 0.6 as a decimal
Step-by-step explanation:
3 3/4 divided by 2 1/4 is 3/5 or 0.6
a student earns R220 a week.What does he earn in a year of it takes 2 weeks unpaid.
R11 000 in a year.
Step-by-step explanation:
Student earn R220 a week.A year have 52 weeksIt takes 2 weeks unpaidTherefore:
52 weeks - 2 weeks unpaid = 50 weeks
50 weeks × R220 = R11 000 in a year
Bryce needs to save at least $1400 for new baseball gear. He has $600 and will continue saving $25 a week. Select all the inequalities below that represent this situation where, n, is the number of weeks.
25n + 600 < 1400
25n > 800
25n - 600 > 1400
25n < 800
25n - 600 < 1400
25n + 600 > 1400
Answer:
25n + 600 > 1400
Step-by-step explanation:
I WILL MAKE BRAINLYEST
Describe a real-life situation that can be represented with the equation 2x+5=13
Be sure to:
1) Identify what your variable represents (sentence already started for you in the text box).
2) Include each operation and part of the equation in your description.
Answer:
John wanted to buy a toy that cost 13 dollars, he has 5 already and 2 days to make the rest of the money. Let x be the amount of money John has to make each day in order to be able to buy the toy.
Step-by-step explanation:
Hope this helps, please mark brainliest.
If a cab takes the money as a fixed charge of 5 Rupees and then it takes money twice the distance travelled. Then find the how many kilometres Alice travelled if she paid the cab 13 rupees.
1. The Variable here is x
2. 2x + 5 = 13
=> 2x= 8
=> x = 4
Alice travelled 4km
Solve the inequality.
-4 (7 + 6x)< -2(x+3)
write in inequality integer form
Answer:
-1 >x
Step-by-step explanation:
-4(7+6x)<-2(x-6)
-28-24x<2(x-6)
-28-24x<-2x-6
+6. +6
-22-24x<-2x
+24x +24x
-22 < 22x.
-22÷-22=1 that canceled out
+22÷-22= -1
-1>x. because we divided by a negative the inequality switched.
Hope this helped
4. Passes through (4, -2) and m = 0.
Answer:
indictmentindictmentindictmentindictmentindictmentindictment
Step-by-step explanation:
Lines q and r are parallel. Parallel lines q and r are cut by transversals s and t. The angles formed by the intersection of lines q, s, and t, clockwise from top left, are blank, 53 degrees, blank, 57 degrees, blank, blank; formed by s and r are blank, 5 x degrees, blank, blank. What is the value of x? 14 22 53 70.
Alternate Interior Angles are formed on the interior of the parallel lines, on the opposite sides of the transverse. The value of x is 14.
What are Alternate interior angles?When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.
As we can see in the centre where the triangle is formed, the measure of the different angles can be written as,
Vertically opposite Angles, [tex]\angle A = 53^o[/tex]
Alternate Interior Angles, [tex]\angle C = 57^o[/tex]
[tex]\angle B = 5x[/tex]
Now, the sum of all the angles of this triangle can be written as,
[tex]\angle A+\angle B+\angle C = 180^o\\\\53^o + 5x + 57^o = 180^o\\\\110^o + 5x = 180^o\\\\5x = 180^o-110^o\\\\5x = 70^o\\\\x = 14[/tex]
hence, the value of x is 14.
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Answer:
22
Step-by-step explanation:
Evaluate 8x−y2−3 when x=−1/4 and y=3.
Answer:
-14
Step-by-step explanation:
I believe you meant 8x−y^2−3. The expression 8x−y2−3 is meaningless.
Letting x take on the vaue -1/4 and y the value 3, we get:
8(-1/4) − (3)^2−3, or
-2 - 9 - 3, or
-2 - 12. Final answer is -14
Help me pls and please include the steps to how you got the correct answer. thank you
Answer:
Where is the question???
Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries sells for $4. Kevin sold twice as many pounds of raspberries as pounds of apples and he made $115 altogether. Determine the number of pounds of apples sold and the number of pounds of raspberries sold.
Answer:
Step-by-step explanation:
10 pound of apple Sells and 20 pound of Raspberry sells
Ryan is mowing lawns. It takes him an hour to mow one lawn. He has already spent hours mowing lawns today. He can only mow today for a total of 5 hours at most. The given inequality can be used to find x, the number of lawns he can still mow today. Which statement is true? A. Ryan can mow no fewer than 7 additional lawns today. B. Ryan can mow no more than 3 additional lawns today. C. Ryan can mow no more than 7 additional lawns today. D. Ryan can mow no fewer than 3 additional lawns today.
Complete question :
Ryan is mowing lawns. It takes him an hour to mow one lawn. He has already spent 2 hours mowing lawns today. He can only mow today for a total of 5 hours at most. The given inequality can be used to find x, the number of lawns he can still mow today. Which statement is true? A. Ryan can mow no fewer than 7 additional lawns today. B. Ryan can mow no more than 3 additional lawns today. C. Ryan can mow no more than 7 additional lawns today. D. Ryan can mow no fewer than 3 additional lawns today.
Answer:
B. Ryan can mow no more than 3 additional lawns
Step-by-step explanation:
Given that :
Time taken to now 1 lawn = 1 hour = 60 minutes
Number of hours already spent mowing today = 2
He can mow at most 5 hours mowing today
Find the number of lawn x he can still mow today:
Since 1 lawn takes 1 hour to mow ;
Lawns mowed in 2 hours = 2 lawns
The most number of lawn he can mow today Given that he can only spent at most 5 hours mowing will be (5/1) = 5 lawns
Lawns mowed already + x ≤ 5
2 + x ≤ 5
x ≤ 5 - 2
x ≤ 3
Hence, Ryan can mow no more than 3 additional lawns.
yea yea yea slat whole lotta red red slat yeaaaa
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11 2/3
Step-by-step explanation:
Let’s do this
5*2 1/3
Convert the mixed fraction to an improper fraction
2 1/3= 3*2+1=7/3
Now let’s multiply straight across
5*7/3=5/1 * 7/3=35/3
To get mixed number, divide
35/3=11 2/3
And if we convert 11 2/3 to improper, we get 35/3, which is correct. So therefore the answer is 11 2/3.
Hope this helps!
(If possible, please mark me brainliest if possible!)
4*b b*4 b*2 (4*b)*2
Answer:
256b^4
Step-by-step explanation:
4b^2*4b16b
4b^2*64b^2
256b^4