Answer:
The area of the square is = 64
Step-by-step explanation:
The perimeter of rectangle = Perimeter of the square
The rectangle has a length (l) of 11 and a width (w) of 5.
The perimeter of a rectangle = 2·l×2·w = 2×11+2×5 = 32
The perimeter of a square = 4·s => Since the perimeter of the rectangle = the perimeter of the square we can find out the side of the square by using the formula in bold.
The perimeter of the square = 4·s = 32
s = [tex]\frac{32}{4}[/tex] = 8
The area of a square is = s×s = s²
The area of the square is = s² = 8² = 64
A bus travels with a constant speed of 43 miles per hour. How long will take to travel 60 miles Wirte your answer as a
decimal number
hours
Answer:
1.395 hours
Step-by-step explanation:
Time is proportional to distance, and inversely proportional to speed. The relationship is ...
time = distance/speed
For the given speed and distance, the time is ...
time = (60 mi)/(43 mi/h) = 60/43 h ≈ 1.395 h
At 43 mph, it will take about 1.395 hours to travel 60 miles.
WORTH 50! WILL AWARD BRAINLIEST! PLEASE SHOW STEPS! THANK YOU!
Answer:
x = 45
Step-by-step explanation:
Re-order terms so constants are on the left
15 * x/9 - 42 =28
Combine multiplied terms into a single fraction
15x/9 - 42 = 28
Cancel terms that are in both the numerator and denominator
5x/3 - 42 = 28
distributive property to expand the algebraic expression.
Answer:
Step-by-step explanation:
Distributive property: a(b + c) = (a*b) + (a*c)
15(0.5g + 1.2s) = 15*0.5g + 15*1.2s
= 7.5g + 18s
Can someone help with these questions?
Answer:
Input, R--->Output, C
1 2pi
2 4pi
3 6pi
4 8pi
Step-by-step explanation
c = 2*pi*r
=2r x pi
Hope this helps :)
Ill Give Brainlyiest The height of pyramids in Egypt is normally distributed. A sample of 125 pyramids had a mean height of 460.7 ft and a standard deviation of 4.1 feet. With 80% confidence, what is the maximum error of estimate for the actual population mean for the height of Egyptian pyramids?
37.04%
47.01%
4.21%
94.43%
Using the t-distribution, as we have the standard deviation for the sample, it is found that the the maximum error of estimate for the actual population mean for the height of Egyptian pyramids is of 47.01%.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sampleThe margin of error is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 125 - 1 = 124 df, is t = 1.2884.
The other parameters are: [tex]\mu = 460.7, s = 4.1, n = 125[/tex].
Hence, the margin of error is of:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.2884\frac{4.1}{\sqrt{125}}[/tex]
[tex]M = 0.47[/tex]
Hence, the maximum error of estimate for the actual population mean for the height of Egyptian pyramids is of 47.01%.
More can be learned about the t-distribution at https://brainly.com/question/16162795
3 over 4x + 6 = 33
i need help really bad i dont understand it
Answer:
[tex]x=\frac{1}{36}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4x}+6=33\\ \\\frac{3}{4x}=27\\ \\3=27(4x)\\\\3=108x\\\\\frac{3}{108}=x\\ \\\frac{1}{36}=x[/tex]
hope its understandable
[tex]x^{2} \sqrt{x} \alpha \\[/tex]
Can u find x? with work
Find y and Find z??? Plsss thank youuu
Answer:
Step-by-step explanation:
If two triangles are similar to each other, that means all their angle are equal, which means in this case that:
Angle DEF = Angle DGFAngle EDF = Angle GDFAngle DFE = Angle DFGThat means we get the equation:
3x = 24 --> x = 8
9y = 108 --> y= 12
z = 360 - 24 - 108 = 226
Thus x = 8, y = 12, and z = 226
Hope that helps!
The vertices of Quadrilateral ABCD are located at (1, 4), (5, 0), (2, –3), and (–2, –2).
Select the length that will be used in the calculation of its perimeter.
Answer:
A - Rectangle B - Square
C - Parallelogram D - Rhombus
Explanation:
We are given
A
(
1
,
2
)
,
B
(
2
,
−
2
)
and hence
A
B
=
√
(
2
−
1
)
2
+
(
−
2
−
2
)
2
=
√
17
. Further slope of
A
B
is
−
2
−
2
2
−
1
=
−
4
1
=
−
4
.
Case A -
C
(
−
6
,
−
4
)
,
D
(
−
7
,
0
)
As
C
D
=
√
(
−
7
−
(
−
6
)
)
2
+
(
0
−
(
−
4
)
)
2
=
√
17
and slope of
C
D
is
0
−
(
−
4
)
−
7
−
(
−
6
)
=
4
−
1
=
−
4
As
A
B
=
C
D
and
A
B
||
C
D
slopes being equal, ABCD is a parallelogram.
graph{((x-1)^2+(y-2)^2-0.08)((x-2)^2+(y+2)^2-0.08)((x+6)^2+(y+4)^2-0.08)((x+7)^2+y^2-0.08)=0 [-10, 10, -5, 5]}
Case B -
C
(
6
,
−
1
)
,
D
(
5
,
3
)
As
C
D
=
√
(
5
−
6
)
2
+
(
3
−
(
−
1
)
)
2
=
√
17
and slope of
C
D
is
0
−
(
−
4
)
−
7
−
(
−
6
)
=
4
−
1
=
−
4
Further,
B
C
=
√
(
6
−
2
)
2
+
(
−
1
−
(
−
2
)
)
2
=
√
17
and slope of
B
C
is
−
1
−
(
−
2
)
6
−
2
=
1
4
As
B
C
=
A
B
and they are perpendicular (as product of slopes is
−
1
), ABCD is a square.
graph{((x-1)^2+(y-2)^2-0.08)((x-2)^2+(y+2)^2-0.08)((x-6)^2+(y+1)^2-0.08)((x-5)^2+(y-3)^2-0.08)=0 [-10, 10, -5, 5]}
Case C -
C
(
−
1
,
−
4
)
,
D
(
−
2
,
0
)
As mid point of
A
C
is
(
1
−
1
2
,
2
−
4
2
)
i.e.
(
0
,
−
1
)
and midpoint of
B
D
is
(
2
−
2
2
,
−
2
+
0
2
i.e.
(
0
,
−
1
)
i.e. midpoints of
A
C
and
B
D
are same,
but,
B
C
=
√
(
2
−
(
−
1
)
)
2
+
(
−
2
−
(
−
4
)
)
2
=
√
13
i.e.
A
B
≠
B
C
and hence ABCD is a parallelogram.
graph{((x-1)^2+(y-2)^2-0.08)((x-2)^2+(y+2)^2-0.08)((x+1)^2+(y+4)^2-0.08)((x+2)^2+y^2-0.08)=0 [-10, 10, -5, 5]}
Case D -
C
(
1
,
−
6
)
,
D
(
0
,
−
2
)
As mid point of
A
C
is
(
1
+
1
2
,
2
−
6
2
)
i.e.
(
1
,
−
2
)
and midpoint of
B
D
is
(
2
+
0
2
,
−
2
+
(
−
2
)
2
i.e.
(
1
,
−
2
)
i.e. midpoints of
A
C
and
B
D
are same,
and,
B
C
=
√
(
2
−
1
)
2
+
(
−
2
−
(
−
6
)
)
2
=
√
17
i.e.
A
B
=
B
C
and hence ABCD is a rhombus.
graph{((x-1)^2+(y-2)^2-0.08)((x-2)^2+(y+2)^2-0.08)((x-1)^2+(y+6)^2-0.08)(x^2+(y+2)^2-0.08)=0 [-14, 14, -7, 7]}
help Im helping my friend-
Answer:
Add 6 red squares and 4 green onesa.I don't know if there are more answers for 2, but a is correct.
5 - 4(2 - x) = 17
solve for x
Answer:
x = 5
Step-by-step explanation:
I just solved the equation!
5 - 4(2-x) = 17
-4(2-x) = 12 (subtract by 5 on both sides)
2 - x = -3 (divide by 4 on both sides)
-x = -5 (subtract by 2 on both sides)
x = 5 (divide by -1 on both sides (two negatives cancel out!))
:)
Answer:
x = 5
Step-by-step explanation:
1) Subtract 5 from both sides.
-4(2-x)=17-5
2) Simplify 17 - 5 to 12.
-4(2-x)=12
3) Divide both sides by -4.
2-x=-12/4
4) Simplify 12/4 to 3.
2-x=-3
5) Subtract 2 from both sides.
-x=-3-2
6) Simplify - 3 - 2 to -5.
-x=-5
7) Multiply both sides by -1.
x = 5
Check the answer:
5-4(2-x)=17
1) Let x=5.
5-4*(2-5)=17
2) Simplify 2-5 to 3.
5-4*-3=17
3) Simplify 4 * -3 to -12.
5-(-12)=17
4) Remove parentheses.
5+12=17
5) Simplify 5 + 12 to 17.
17 = 17
All done !
Robert earned £ 8500. He got a bonus of 5% at the end of the year.
a) Howmuchdidheearnintotal?
b) He paid 23% tax on his total earnings. How much did he have left after tax?
Answer:
a) 8925, b)6872.25
Step-by-step explanation:
a) (8500)+(8500(5/100))=8925
b) (8925)-(8925(23/100))=6872.25
I WILL GIVE BRAINLIEST Suppose that is $1200 initially invested in an account at a fixed interest rate, compounded continuously. Suppose also that, after six years, the amount of money in the account is $1431 . Find the interest rate per year.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Answer:
so we know that we're starting with $2500. We know it's compound a continuous interest, and they tell us that the interest rate is 6% and we want to find the amount of time it's going to take for it to basically double because it says 5000. So we divide both sides by five Excuse me by 2500 and we end up with E to the 0.6 T is equal to two. We can take the natural log of both sides mhm, and we can use a log of a powers at this point. Oh, 60 can come down in front with log of a power and lo and behold Oh, my goodness, Ellen up e is one. So all we need to do to solve is divide both sides by 0.6, and that will give us our time. We need to round that off to the nearest 10th of a year. So Ln of two divided by 20.6 11.6 11.55 But to the nearest Tampa would be 11.6 years. And we are done. Mm hmm.
Step-by-step explanation:
28 POINTS PLS HELP!!
Answer:
9:3/32 10:1/32
Step-by-step explanation:
9: the probability of it landing on purple is 3/8 and red is 2/8
multiply and you get 3/32
10: the probability of red is 2/8 and blue is 1/8, so multiply and get 1/32
Find the value of the power
Answer:
Power is the zero at the end of the number like this 56 small 0 at the top right
Step-by-step explanation: Its not just the zero its whatever number is divided by the power it cant go past 50
What is 4/6,7/12,5/10 in order of least to greatest
Answer:
5/10, 7/12, 4/6
Step-by-step explanation:
We can simplify fractions and then convert them to a common denominator
4/6 = 2/3 = 8/12
7/12 cannot be simplified
5/10 = 1/2 = 6/12
We can see, that the order is 6/12, 7/12, 8/12. Now we change it back to its original numbers, 5/10, 7/12, 4/6
Hope this helps :)
Have a nice day!
Biscuits are packed in boxes of 6. If B is the total number of biscuits, write a formula to show how many biscuits are in j boxes
Answer:
b = 6j
Step-by-step explanation:
b (number of biscuits) = 6j (6 biscuits per box)
-6z < 24 please help me solve this <33
Step-by-step explanation:
Simplify.
Divide each side by -6, then flip the sign to accurately show the inequality:
[tex]z > - 4[/tex]
What is the surface area of this design?
Answer:
[tex]392\:in^2[/tex]
Step-by-step explanation:
Hey there!
Surface area:
[tex]2(10)(6)+2(6)(6)+2(6)(4)+2[(10)(10)-(4)(6)][/tex]
[tex]= 392\:in^2[/tex]
~
Hope this helps!
The plane was going 150 knots when it landed in the Hudson River. What was the plane’s speed in miles per hour (mph). Note: 1 knot = 1. 15 mph. Round you answer to the nearest 10th
Answer:
172.5
Step-by-step explanation:
I multiplied the 150 by 1.15 and got the answer 172.5.
Have a great day!
Please rate and mark brainliest!
2.If and
what is the value of x?
x = 9
x = 5/2
x = 4
x = 8
Answer:
If x = 9, 5/2, 4, 8. Doesnt that mean that the value of x can be any of those?
Step-by-step explanation:
Answer:
I can give you an answer once there is an equation
The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the perimeter.
Answer:
4+2radical3
Step-by-step explanation:
During natural selection, organisms with harmful traits are less likely to successfully reproduce than organisms with beneficial traits. Neutral traits don’t improve or hurt an organism’s chances for survival. So, they tend to persist in populations when environmental conditions are stable. If the environment changes, neutral traits could become harmful or beneficial depending on the situation. In year 1, a population of rain forest plants has the following distribution: 50% have medium-tip leaves, 25% have wide-tip leaves, and 25% have drip-tip leaves. You will simulate three years of this population: year 1, year 5, and year 10. How will the trait distribution most likely change over this time?.
Natural selection can cause microevolution (change in allele frequencies), with fitness-increasing alleles becoming more common in the population.
Fitness is a measure of reproductive success (how many offspring an organism leaves in the next generation, relative to others in the group).
Natural selection can act on traits determined by alternative alleles of a single gene, or on polygenic traits (traits determined by many genes).
Natural selectionNatural selection on traits determined by multiple genes may take the form of stabilizing selection, directional selection, or disruptive selection.
All of these mechanisms can make a population evolve, or change its genetic makeup over generations.
But there's one mechanism of evolution that's a bit more famous than the others, and that's natural selection. What makes natural selection so special? Out of all the mechanisms of evolution, it's the only one that can consistently make populations adapted, or better-suited for their environment, over time.
You may have already seen natural selection as part of Darwin’s theory of evolution. In this article, we will dive deeper – in fact, deeper than Darwin himself could go. We will examine natural selection at the level of population genetics, in terms of allele, genotype, and phenotype frequencies.
To know more about natural selection click the link given below.
https://brainly.com/question/11694349
URGENT PLEASE HELP!!!
Answer:
x =62 y=118
Step-by-step explanation:
The sum of two opposite angles in a cyclic quadrilateral is equal to 180 degrees (supplementary angles)
x+44+74= 180
x+118=180
x=62
y-48+110=180
y+62=180
y=118
Select all the ways below to rewrite 3xy + 6yz using the distributive property.
A. 3(xy +2yz)
B. y(3x + 6z)
C. 3y(x + 2z)
D. 2y(1x + 3z)
E. 3x(y + 2yz)
Answer:
A. 3(xy +2yz)
[tex]taking \: 3 \: as \: common \\ 3xy + 6yz = 3(xy +2yz)[/tex]
The required ways to rewrite 3xy + 6yz are as follows,
A. 3(xy +2yz)
B. y(3x + 6z)
C. 3y(x + 2z)
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 3xy + 6yz - - - -- (A)
The distributive property is given as,
a [b + c] = ab + ac
Taking 3 common
= 3(xy +2yz) - - - - - -(1)
In equation A taking 3y common.
= 3y(x + 2z) - - - - - - - (2)
In equation A taking y common.
= y(3x + 6z) - - - - -- - - - (3)
Thus, the required ways to rewrite 3xy + 6yz are as follows,
A. 3(xy +2yz)
B. y(3x + 6z)
C. 3y(x + 2z)
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
8.
What is the value of the expression below?
2[3(42 + 1)] -2
A 156
B
110
C 94
D 48
3² . (2²+4),
Answer:
The choice C.94
Step-by-step explanation:
[tex]2(3( {4}^{2} + 1)) - {2}^{3} \\ \\ 2(3(16 + 1)) - 8 \\ \\ 2(3(17)) - 8 \\ \\ 2(51) - 8 \\ \\ 102 - 8 = 94[/tex]
Answer:
94
Step-by-step explanation:
2[3(4^2+1)] -2^3
2[3×(16+1)] -2^3
2[3×17] -8
2(51) -8
102-8
=94
Hope this helps
f x = 7 , evaluate the following expression: 8 + x
Explanation:
Replace x with 7 and simplify to get 8+x = 8+7 = 15
Answer:
If x=7, 8+7=15.
Step-by-step explanation:
x=7
8+(7)
=15
help with homework asap pls. Rs. 100 are divided between Sangeeta and Manish in the ratio 4:1. Find theamount Sangeeta gets.
here is your answer
if you will not like then you will be ehsanfaramosh
So 7x4=28 then 7 division 28 =4
Find the percent increase. Round to the nearest percent
From 86 books to 138 books
The percent increase is
%.
Answer:
60.4% increase
Step-by-step explanation:
To find the percentage of increase you use the following formula:
[tex]\frac{Final Value - Starting Value}{Starting Value } * 100[/tex]
Hope this was helpful!
