Answer:
Largo = 62m
Ancho = 54m
Step-by-step explanation:
[tex]P=232m\\ b=(x+8)\\ h=x[/tex]
[tex]P=2(h+b)\\ P=2(x+(x+8))\\ P=2(2x+8)\\ P=4x+16[/tex] → [tex]4x+16=232\\ 4x=232-16\\ 4x=216\\ x=\frac{216}{4}[/tex]
[tex]b=54m[/tex] [tex]x=54m[/tex]
[tex]b=x+8=(54)+8[/tex]
[tex]b=62m[/tex]
Wyatt invests $1200 into an account that earns 6.2% simple interest for 4 years. He does not make any other deposits or withdrawals. At the end of 4 years, Wyatt invests the entire account balance into a different account that earns 8% simple interest. He leaves the money in the account for 5 years without making any additional deposits or withdrawals. What is the new account balance at the end of 5 years? Drag and drop values into the boxes to correctly complete the statements.
Answer:
297.60 & 1497.60
Step-by-step explanation:
I had the question before and got it right.
Answer:
the correct answers are (1) 1497.60 and (2) 2096.64
explanation:
these were the correct answers!!
100% honest!!
name the polynomial based on its degree and number of terms. 2 - 11x^2 - 8x + 6x^2
Step-by-step explanation:
This polynomial has like terms that can further be simplified
2 - 11x^2 + 6x^2- 8x
2 - 5x^2 - 8x
multiply by negative to take 2 to the right.
-(2 - 5x^2 - 8x)
= 5x^2 + 8x - 2
It's named a Second Degree Polynomial because the highest degree(exponent) of x in the final solution is 2.
it has 3 terms : 5x^2 , 8x , 2
Need help asap giving brainliest PLSSS
Answer:
2144 in^3
Step-by-step explanation:
[tex]\frac{4}{3}\pi r^3 > \frac{4}{3}\* *\pi * 8^3 > 2144.660[/tex]
I need to know! What is 2+5?
Answer:
seven
Step-by-step explanation:
1+1=2 and 3+2=5 so 2+5=7
Answer:
2+5=the answer is 7 you welcome
Cisca, 12 years old, is three times as old as Catherine. How old will she be when she's twice as old as Catherine?
Step-by-step explanation:
Divide 12 by 3 to determine Catherine's age.
[tex]12 \div 3 = 4[/tex]
Catherine is 4 years old when Cisca is 12 years old.
Let's identify when Cisca will be twice as old as Catherine by representing the ages per future years.
Year 1: 13, 5
Year 2: 14, 6
Year 3: 15, 7
Year 4: 16, 8
Year 5: 17, 9
Year 6: 18, 10
In 4 years, Cisca will be twice as old as Catherine.
Her age is 16.
She would be 4 years
Calculation of ageAge of Catherine = X
Age of Cisca = 12yrs = 3x
Therefore X = 12/3= 4 years.
Actual age of Catherine = 4 years.
Twice ( 2x) age of Catherine = 2×4= 8
Therefore, she will be 4 years to be twice as old as Catherine
Learn more about age here:
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Consider the line y = -8x+5.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5)
Answer:
parallel: y = -8x+-27
perpendicular: y= [tex]\frac{1}{8} +5\frac{1}{2}[/tex]
Step-by-step explanation:
On average, every minute of every day, 167 babies are born. The bar graph represents the results
of a single day of births, deaths, and population increase worldwide.
Each day, the number of births in the world is 45 thousand less than three times the number of
deaths.
a.) If the population increase in a single day is 241 thousand, determine the number of births and deaths per day.
There are____ thousand births per day
There are ____ thousand deaths per day
Answer:
Let x thousand births per day
Let y thousand deaths per day
Each day, the number of births in the world is 45 thousand less than three times the number of
deaths.
x=3y-45 (1)
Population increase= birth - death
=x-y(2)
substitute (1) into (2)
3y-45-y=241
2y-45=241
2y=196 (plus 45 from both side)
y=98 (divide 2 from both side)
x-y=241
x-98=241
x=339 ( pluse 98 from both side)
So, There are 339 thousand births per day
There are 98 thousand deaths per day
HOPE THIS HELP!!!
Find the scale factor for of the dilation shown.
A. 1/2
B. 3/2
C. 2
D. 2/3
NEED THIS BEFORE MIDNIGHT!! HELP ME PLEASE. THANKS!!!
What is the surface area?
8 yd
7 yd
3 yd
square yards
Ahmad has $112 in his checking account and earns $75 per week
working part-time. Assume he has no expenses currently.
Create an equation to model the above scenario.
Answer:
total = 75x + 112
Step-by-step explanation:
I did 75x because x would be how many weeks and added 112 because of the starting amount
A motel rents double rooms at $34 per day and single rooms at $26 per day. If 27 rooms were rented one day for a total of $846, how many rooms of each kind were rented
single rooms
double rooms
Answer:
double roooms
Step-by-step explanation:
it is double rooms thank me later
convert 6.19 to fraction
Answer:
[tex]6.19=6\frac{19}{100}[/tex]
Step-by-step explanation:
[tex]6.19=6\frac{19}{100}[/tex]
Please give me a written and explained answer for branliest
Answer:
TU = 15
Step-by-step explanation:
The two rectangles are similar. That means that the lengths of corresponding sides are in the same ratio.
Pairs of corresponding sides:
MN, ST
NO, TU
OP, UV
PM, VS
Equal ratios of lengths of corresponding sides:
MN/ST = NO/TU = OP/UV = PM/VS
Plug in the given information:
MN/ST = 10/x = 4/6 = PM/VS
10/x = 4/6
4x = 10 × 6
4x = 60
x = 15
TU = 15
Find the values of x between 0 and pi where the tangent line to the graph of y = sin(x) cos(x) is horizontal.
Answer:
π/4, or 3π/4
Step-by-step explanation:
dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2
Tangent line is horizontal, so dy/dx = 0
1-2(sinx)^2 = 0
(sinx)^2 = 1/2
sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]
Between 0 and pi, sinx >0
so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]
x = π/4, or 3π/4
What’s the correct answer for this?
Answer:
6 pounds and 15 ounces
Step-by-step explanation
1 pound is equal to 16 ounces. Divide 111 by 16 to get 6 remainder 15
Evaluate $\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}$.
========================================================
Work Shown:
[tex]\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4[/tex]
Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that [tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex] to break up the roots.
Answer:
4
Step-by-step explanation:
We first simplify $\sqrt{72}$ and $\sqrt{8}$:\begin{align*}
\sqrt{72} &=\sqrt{36\cdot 2} = \sqrt{36}\cdot \sqrt{2} = 6\sqrt{2},\\
\sqrt{8} &= \sqrt{4\cdot 2} = \sqrt{4}\cdot \sqrt{2} = 2\sqrt{2}.
\end{align*}Then, we have
\[\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}} = \dfrac{2\left(6\sqrt{2}\right)}{2\sqrt{2} + \sqrt{2}}
= \dfrac{12\sqrt{2}}{3\sqrt{2}} = \dfrac{12}{3}\cdot \dfrac{\sqrt{2}}{\sqrt{2}} = \boxed{4}.\]
Find the surface area of this shape
Answer:
295 cm[tex] {}^{2} [/tex]
Which of the following expressions is equivalent to:
Express the set using the roster method. {x | XEN and x> 9)
Answer:
A(8,9,10,11,12)
Step-by-step explanation:
A(8,9,10,11,12)
100 pts and mark brainliest
Use the quadratic formula to solve
x^2-4x+3
Show your work. Then describe the solution. if you dont describe the solution it will get reported.
Answer:
x = 3, x = 1
The points at which the curve crosses the x-axis are (3, 0) and (1, 0)
Step-by-step explanation:
Quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Quadratic equation: [tex]ax^2+bx+c[/tex]
Therefore, for [tex]x^2-4x+3[/tex]:
a = 1 b = -4 c = 3
Inputting values into quadratic formula:
[tex]x=\dfrac{4\pm\sqrt{(-4)^2-(4\times1\times3)} }{2\times1}[/tex]
[tex]\implies x=\dfrac{4\pm\sqrt{16-12} }{2}[/tex]
[tex]\implies x=\dfrac{4\pm\sqrt{4} }{2}[/tex]
[tex]\implies x=\dfrac{4\pm2 }{2}[/tex]
[tex]\implies x=2\pm1[/tex]
[tex]\implies x=3, x=1[/tex]
Therefore, the points at which the curve crosses the x-axis are (3, 0) and (1, 0)
[tex]\\ \tt\hookrightarrow x^2-4x+3=0[/tex]
a=1b=-4c=3[tex]\\ \tt\hookrightarrow x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm \sqrt{16-12}}{2}[/tex]
[tex]\\ \tt\hookrightarrow x=\dfrac{4\pm 2}{2}[/tex]
x=6/2 or 2/2x=3 or 1make b the subject of formula
[tex]a = \frac{1}{2} bh[/tex]
Answer:
[tex]a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} [/tex]
Christina used 2 1/3 gallons of gas to drive her car 64 1/6 miles. What was the fuel efficiency of her car, in miles per gallon, for the trip?
Answer: 27 1/2 miles per gallon
Step-by-step explanation: trust me bro
Leni opened a savings account that pays 0.8% interest, compounded quarterly. Her initial deposit was $50. How long would she have to leave the money in the account for it to double?
The number of years it would take the money to double is 86.6 years.
What is the time it would take the deposit to double in value?Number of years = (In fv / pv) / r
Where:
FV = future valuePV = present valuer = interest rateFV / PV = 2IN 2 / 0.008 = 86.6 years
To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217
Traci collects donations for a dance marathon. One group of sponsors will donate a total of $6 for each hour she
dances. Another group of sponsors will donate $75 no matter how long she dances. What number of hours, to the
nearest minute, should Traci dance if she wants to raise at least $1,000?
Traci would have to dance at least hours and 10 minutes.
Answer:
She needs to dance about 154 hours.
Step-by-step explanation:
$1,000 minus $75 is $925.
$925 divided by $6 is about 154 hours.
- Length of lease: 32 months
- MSRP of the car: $26,260
-Purchase value of the car after lease: $14,330
- Down payment: $1270
- Security deposit: $605
- Acquisition fee: $765
-Lease factor: 0.00073
1. What is the amount of cash due at signing?
2. What would be his monthly payments?
3. What is the total amount of money that he would spend on monthly payments
4. What is the total amount of money that he would spend on monthly payments?
5. What is the total cost of leasing the car, assuming that he does not get the security deposit back
Answer:
I'm pretty sure you would just add and subtract as needed.
Step-by-step explanation:
Sorry if i'm wrong.
What is the missing numerator?
Answer:
The missing numerator is 2
Step-by-step explanation:
Assign "x" to the numerator sought:
[tex]\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}[/tex]
[tex]\frac{14x+91}{98} =\frac{14+3}{14}[/tex]
[tex]14x+91=98(\frac{17}{14} )[/tex]
[tex]14x=\frac{1666}{14} -91[/tex]
[tex]14x=119-91[/tex]
[tex]x=\frac{28}{14}[/tex]
[tex]x=2[/tex]
Hope this helps
PLEASE HELP
ILL MARK AS BRAIN LEIST!
Answer:
C. 707 cm^2
Step-by-step explanation:
Simplify.
(fg2)4
Can you please help me? I'm stuck on this question
Answer:
[tex]4fg^{2}[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex]fg^{2} *4[/tex]
2) Regroup terms.
[tex]4fg^{2}[/tex]
Answer:
The correct answer is...
Step-by-step explanation:
"F^4g^8" Hope this helps!
The scale on a 1:50 000 Ordnance Survey map indicates that 2 cm on the map
= 1 km on the ground.
How many centimetres would 1km be represented by on a 1:25 000 scale map?
?cm
This was an exceptionally dry year for portions of the southwestern United States. Monthly precipitation in Phoenix, Arizona, was recorded in the table and is modeled by y = –0.04088x2 + 0.4485x + 1.862.
In what month did Phoenix receive the highest amount of precipitation?
Month (x)
Precipitation
January
2.27 inches
February
?
March
?
April
?
May
?
June
?
July
?
August
?
September
2.59 inches
October
?
November
?
December
?
Sketch a graph or fill in the table to answer the question.
April
May
June
July
Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the precipitation each month x in Phoenix is given by:
[tex]y = -0.04088x^2 + 0.4485x + 1.862[/tex]
Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:
[tex]x_v = -\frac{0.4485}{2(-0.04088)} = 5.48[/tex]
Hence during the month of May.
More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967