[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]
[tex]\sf are a \ of \ rectangle : Length * Width[/tex]
total area :
[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]
[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]
[tex]\rightarrow \sf 132.5 \ in^2[/tex]
(h(1) = 9
h(2) = 3
h(n) = h(n - 2)•h(n - 1)
h(3) =
Answer: 27
Step-by-step explanation:
What is the value of the expression, when x = 6?
Answer:
162
Step-by-step explanation:
7(3×6-4)+4^3
7(18-4)+4^3
7×14+4^3
98+64
162
Answer:
162.......
Step-by-step explanation:
= 7 ( 3x - 4 ) + 4^3
= 7 ( 3× 6 - 4 ) + 4^3
= 7 ( 18 - 4 ) + 4 ^3
= 7 ( 14 )+ 4 × 4 × 4
= 98 + 64
= 162..
Determine the total value for the account given the principal, rate, and time.
Compound interest account
Principal: $2000
Rate: 2%
Time: 7 years
now, this is assuming the compounding period is annually, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases} \\\\\\ A=2000\left(1+\frac{0.02}{1}\right)^{1\cdot 7}\implies A=2000(1.02)^7\implies A\approx 2297.37[/tex]
Find the MEAN of the following:
13, 19, 17, 10, 22, 14, 17
Mean: 16
To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.
1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112
2. 112 / 7 = 16
3. The mean is 16.
Answer: 16.
Step-by-step explanation: To find the mean of any given data, you need to add all the data. The work is below:
13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.
Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data. The work is below:
112 / 7 = 16.
Therefore, the mean of this data is 16.
Hope this helps! :)
Please help!
A: 128°
B: 92°
C: 36°
D: 52°
sum of triangle angles = 180
so
? = 180 - 36 - 92 = 52° => D
Mr. endres wants to put fencing around his rectangular shaped backyard. the width of the backyard is 42 feet and the length is two times the width. how many feet of fencing does mr. endres need?
The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
What is the Perimeter of a Rectangle?Perimeter = 2(length + width).
The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.
Given the following:
Width = 42 ft.Length = 2(42) = 84 ft.Plug the values into Perimeter = 2(length + width):
Perimeter of the rectangular garden = 2(42 + 84)
Perimeter of the rectangular garden = 252 ft
Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
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*will give free brainliest* You estimated that you would need 252 more points to move up a level on your favorite video game. But after earning just 240more points, you leveled up! What was your percent error?
Answer:
5%
Step-by-step explanation:
(240 - 252/240)×100
Which rate does not belong with the other three?Explain
8 pounds for every 2 feet
12 pounds peer 3 feet
20 pounds per 4 feet
24 pounds for every 6 feet
Answer:
The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.
Step-by-step explanation:
Unit rate = How much of something per 1 unit of something else
We write this as a ratio with a denominator of one
In this case, we are using "pound per foot"
1. "8 pounds for every 2 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
[tex]\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}[/tex]
Simplify
[tex]\mathrm{4\:pounds}[/tex]
Unit rate = 4 pounds per foot
2. "12 pounds per 3 feet"
First, write the rate as a fraction
[tex]\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}[/tex]
Next, divide the numerator and denominator by 3
[tex]\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}[/tex]
Lastly, simplify and turn the denominator equal to 1
[tex]\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}[/tex]
Unit rate = 4 pounds per foot
3. "20 pounds per 4 feet"
First, write the rate as a fraction
[tex]\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}[/tex]
Next, divide the numerator and denominator by 4
[tex]\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}[/tex]
Lastly, simplify and turn the denominator equal to 1
[tex]\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}[/tex]
Unit rate = 5 pounds per foot
4. "24 pounds for every 6 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
[tex]\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}[/tex]
Simplify
[tex]\mathrm{4\:pounds}[/tex]
Unit rate = 4 pounds per foot
The rate that doesn't belong is "20 pounds per 4 feet"
(3.1×10^7)(5.8×10^−4) in scientific notation
Answer:
[tex]\filldraw (10,0) rectangle ++(3pt,3pt);[/tex]
what is the measure of angle F????
Answer:
Angel F would equal about 50 degrees.
I used my protractor to measure the angle. My answer may be incorrect since I measuring it through a computer screen. (please read more before submitting your answer)
Another strategy:
(this one should be more accurate)
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
The angles are given all equal 312 degrees
75 + 91 + 146 = 312 degrees
This means angel F equals:
360 degrees - 312 degrees = F degrees
F = 48 degrees
In conclusion, 48 and 50 are reasonable answers but the strategy used to find the answer 48 degrees makes more sense.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Could you please calculate angle CDO and explaing how did you get it so that I can understand how to answer this question? :)
39°
Try harder to achieve success
PLEASE HELP ME I am so confused about what they mean
Plot the point A (2, 3). Then, plot point B that is 4 right and 5 up from point A. 2. Plot the point C (9, 7). Then, plot another point D that is 8 left and 2 down from point C.
Answer:
Step-by-step explanation:
1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)
2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).
Answer:
they want you to take what you have (point a and point c) and take the moving places and add it to their respected points
if that doesnt help then...
point A is (2,3)
point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8
point b is (6,8)
point c is (9,7)
point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5
point d (1,5)
Step-by-step explanation:
Doordash and Uber Eats motivate their drivers to take jobs by offering more money as more time passes. The following information shows how much each company offers depending on
how many minutes have passed after the customer's request.
DoorDash(table):
minutes: 0 ,5,10,15, 20, 25, (greater then or equal to sign) 30
money offered: $2.50 , $2.75 , $3.00, $5.00,$8.00, $12.00,$30.00
a) State the y-intercepts of each function and state what each one represents in this real-world context (Show your work)
b) State the maximum of each function and state what each one represents in this real-world context. (Show your work)
c) At what point do both companies pay the same amount? If you had to choose one company to work for, which one would you choose and why? (Show your work. Use evidence from above)
The functions of DoorDash and UberEats are linear functions and piecewise functions
The y-intercepts are $2.50 and $5, respectivelyThe maximum of the functions are $12.00 and $8.00, respectively.The point where the salaries are the same is (25, 12.00)The y-intercept of the functions?This is the point where the input value is 0 i.e. x = 0.
From the table, we have:
(x,y)= (0,2.50)
From the graph, we have:
(x,y)= (0,5)
Hence, the y-intercepts are $2.50 and $5, respectively
The maximum of the functionsThis is the point where the output value is at the highest
From the table, we have:
(x,y)= (25,12.00)
From the graph, we have:
(x,y)= (20,8.00)
Hence, the maximum of the functions are $12.00 and $8.00, respectively.
This also represents the maximum salaries of working in both companies
When the salary is the sameThis is the point where the values of both functions are equal
From the table and the graph, we have:
(x,y)= (25,12.00)
Hence, the point where the salaries are the same is (25, 12.00)
DoorDash has a higher maximum salary; so I would choose to work at DoorDash
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what is the slope-intercept form of the equation of the line that contains the points (-3,-3) and (4,5)
Answer:
[tex]y=1.14x+0.420[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-3,-3) = (x1, y1)
Point B = (4, 5) = (x2, y2)
To write the points in slope intercept form we must first calculate the slope using rise over run. Once we have the slope, we substitute the values into the formula for slope intercept which is y = mx + b and then solve for b to have our answer.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5--3}{4--3} =\frac{8}{7}[/tex]
[tex]8\div7=1.14[/tex]
[tex]m=1.14[/tex]
Now that we have the slope substitute the values:
[tex]y=mx+b[/tex]
[tex]y=-3[/tex]
[tex]m=1.14[/tex]
[tex]x=-3[/tex]
[tex]-3=1.14(-3)+b[/tex]
[tex]1.14\times-3=-3.42[/tex]
[tex]-3=-3.42+b[/tex]
[tex]-3.42+3.42=0[/tex]
[tex]-3+3.42=0.42[/tex]
[tex]0.42=b[/tex]
[tex]b=0.42[/tex]
[tex]y=1.14x+0.420[/tex]
Your answer is "y = 1.14x + 0.420."
Hope this helps.
(will mark brainlist)
How would we name the polyonomi ?
PLS SOMEONE HELP ME FIND THE ANSWER AND EXPLAIN #1 to me. and maybe steps. Also if you can help with any other questions that be nice! ILL MARK BRAINLIST
Answer:
I don't necessarily understand your question but usually the answer to a polynomial question is a binomial answer
reduce into lowest terms
[tex] \frac{4}{6} [/tex]
[tex] \frac{10}{12} [/tex]
[tex] \frac{18}{24} [/tex]
Answer:
4/6
We know that, 4 can be written as:
4 = 2 × 2 and 6 = 2 × 3.
In both 2 is common so cancel it out we get, 2/3
Similarly,
10/12
10 = 2 × 5 and 12 = 2 × 2 × 3
2 common and cancel we get, 5/6
18/24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
6 (2 × 3) is common. So, cancel we get, 3/4
A cube has a surface area of 600 square centimeters. What is the side length?
Answer:
10 cm
Step-by-step explanation:
The formula for finding the surface area of a cube is 6 x (side length)^2.
Since the surface area equals 600, you can divide the surface area by 6 (because a cube has 6 faces) so that becomes 100. The square root of 100 is 10, so the side length is equal 10 cm.
The cities of fayetteville, raleigh and durham form a triangle. they are building a new
baseball stadium. how should they determine where to place the stadium so it is the
same distance from all three cities to the stadium? assume a direct path.
Answer:
it should be built at the centre
The height of a triangle is six times the base. Write an expression for the area of the triangle and let x be the base.
Answer:
If
Hight = 6×base
And
Base = X
Then
Hight = 6 × X
Which is equivalent to
Hight = 6X
Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).
b(n)=
The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
How to determine the explicit formula?The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
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Two sides of a triangle measure 17 inches and 13 inches. The perimeter of the triangle is 45 inches. What is the length in feet of the third side of the triangle?
[tex]\rightarrow[/tex] First side(a) of triangle = 17in.
[tex]\rightarrow[/tex] Second side(b) of triangle = 13in.
[tex]\rightarrow[/tex] Perimeter of triangle = 45in.
To Find:-[tex]\rightarrow[/tex]Third side of the triangle.
Formula Used:-[tex]\rightarrow[/tex] Perimeter of triangle = sum of all side(a+b+c).
Solution:-[tex]\rightarrow[/tex] Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 17+13+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 30+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45-30\: = \:c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{15in.\: = \: c}[/tex]
Therefore, third side = 15in.
[tex]\rightarrow[/tex]To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.
[tex]\rightarrow[/tex] [tex]\sf{\frac{15}{12}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{1.25feet}[/tex]
________________________________
Hope it helps you:)
Answer:
Side 3 = 1.25 feet
Step-by-step explanation:
Given :
Two side measures of a triangle = 17 inches and 13 inchesPerimeter = 45 inchesTo Find :
Length of 3rd sideSolving :
Side 1 + Side 2 + Side 3 = Perimeter13 + 17 + Side 3 = 45Side 3 = 45 - 30Side 3 = 15 inchesSide 3 = 1.25 feetWhich expression is equivalent to the following complex fraction? startfraction 2 over x endfraction minus startfraction 4 over y endfraction divided by startfraction negative 5 over y endfraction startfraction 3 over x endfraction
The solution of the given complex fraction will be;
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
What is complex fraction?The complex fraction is defined as the fraction whose numerator and denominator contains fractions in it.
The given complex fraction is
[tex]\dfrac{\frac{2}{x}-\frac{4}{y}}{\frac{-5}{y}+\frac{3}{x}}[/tex]
Now by taking LCM the equation will become
[tex]\dfrac{\frac{2y-4x}{xy}}{\frac{-5x+3y}{xy}}[/tex]
Now the final expression will be
[tex]=\dfrac{2(y-4x)}{-5x+3y}[/tex]
To know more about complex fractions, follow
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When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expressions
-4.4
1.2x-2.4+1.2x-2
2.4x-0.4
2.4x-4.4
Answer:
[tex]2.4x-4.4[/tex]
Step-by-step explanation:
Given the following question:
[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]
To simplify the expression, we are going to need to rewrite the expression by expanding the terms and then solve by using the distributive property. Then we combine like terms in till the expression can no longer be simplified to find our answer.
[tex]0.3(4x-8)-0.5(-2.4x+4)[/tex]
[tex]0.3(4x-8)[/tex]
[tex]0.3\times4=1.2x[/tex]
[tex]0.3\times4=2.4[/tex]
[tex]1.2x-1.2-0.5(-2.4x+4)[/tex]
[tex]-0.5(-2.4x+4)[/tex]
[tex]-0.5\times-2.4=1.2[/tex]
[tex]-0.5\times4=-2[/tex]
[tex]1.2-2[/tex]
[tex]1.2x-2.4+1.2x-2[/tex]
[tex]1.2+1.2=2.4x[/tex]
[tex]-2.4+-2=-4.4[/tex]
[tex]=2.4x-4.4[/tex]
Your answer is "2.4x - 4.4."
Hope this helps.
The human resources department at a large company regularly conducts an employee satisfaction survey. One item on the survey presents employees with the statement, “I am happy overall at work.”
Please help me:)
Answer: C
Step-by-step explanation:
Khan academy
The response that contributed most to the test statistic about human resources department is C. Disagree.
What is test statistic?It should be noted that test statistic simply means a random variable that is used in hypothesis testing.
In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.
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An hour before show time, only 228 people are seated for a musical performance. according to ticket sales, 94% of the people have yet to arrive. how many tickets were sold for the musical performance? explain your thinking.
Answer:
3800 tickets sold
Step-by-step explanation:
We know the number of people seated, and we know the percentage of total ticket sales that represents. So, we can find the total number of tickets sold.
seated + not-arrived = total sold
228 + 0.94 × total sold = total sold
228 = 0.06 × total sold . . . . . . . . . . . . subtract 0.94 × total sold
228/0.06 = total sold = 3800
There were 3800 tickets sold for the performance.
Rob goes to the gym 3 times a week work out how many times he goes to the gym in
a• four weeks
b• one year
Answer:
a=12 times
b=156 times
Step-by-step explanation:
4 weeks=month
4*3=12
52 weeks=1 year
52*3=156
Therefore he goes 12 times a month, and 156 times a year.
2 1/2 pounds =. Ounces
I need help
Answer:
32 and a half
Step-by-step explanation:
What is the surface area of the cylinder with height 8 and radius 2? Round your answer to the nearest thousandth.
Answer:
surface area of cylinder is 126cm²
Step-by-step explanation:
Height of a cylinder is 8cm
Radius of a cylinder is 2cm
surface area = ?
surface area of cylinder= 2πr(r + h)
=2×22/7×2(2+8)
=44/7×2(10)
=44/7×20
=880/7
=125.71
A = 2πrh + 2πr² π=3.14
(2 x 3.14 x 2 x 8) + (2 x 3.14 x 2x2)100.48 + 25.12A =125.6The legend of a map says that 1 inch = 50 kilometers How many kilometers are in 7.5 inches?
Answer:
375 Km
Step-by-step explanation:
1 inch = 50 km
50 x 7.5 = 375 km
Answer:
375 Km
1 inch = 50 km
50 x 7.5 = 375 km
Δ MAL and Δ DLA are right triangles. If Δ MAL ≅ ΔDLA, then side DL is congruent to side MA, and ∠ MAL is congruent to ∠ DLA. Given ∠ M is 30 °, side DL is (2x + 10) cm, side MA is (3x – 2) cm, and side AL is (x + 5) cm, answer the following questions below:
What is the measurement of DL?
What is the measurement of AL?
What is the measurement of ∠ DLA?
What is the measurement of ∠ AEL?
Answer:
DL = 34 cm
AL = 17 cm
∠DLA = 60°
∠ADL = 30°
Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MA
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ 12 = x
Substituting found value of x into expressions for DL and AL:
DL = 2x + 10
= 2(12) + 10
= 34 cm
AL = x + 5
= 12 + 5
= 17 cm
The only way for ΔMAL to be a right triangle, with MA = 34 cm, AL = 17 cm and ∠M = 30° is if
MA is the hypotenuseAL is the shortest sideGiven:
∠M = ∠D = 30°∠MAL ≅ ∠DLASum of interior angles of a triangle is 180°
⇒ ∠DLA + 30° + 90° = 180°
⇒ ∠DLA + 120° = 180°
⇒ ∠DLA = 60°
As ∠M = ∠D = 30°, then ∠ADL = 30°
Answer:
DL = 34 cmAL = 17 cm∠DLA = 60°∠ADL = 30°Step-by-step explanation:
Given:
DL = (2x + 10) cmMA = (3x - 2) cmDL ≅ MAEquating DL and MA :
⇒ 2x + 10 = 3x - 2
⇒ 2x + 12 = 3x
⇒ x = 12
Finding DL and AL :
DL = 2(12) + 10 = 24 + 10 = 34 cmAL = 12 + 5 = 17 cmFinding ∠DLA :
∠M = ∠D = 30° (corresponding parts of congruent triangles)∠DLA + ∠D + 90° = 180°∠DLA + 30° = 90°∠DLA = 60°Finding ∠ADL :
∠ADL = ∠D∠ADL = 30°