2). The scale factor of two regular octagons is 52. Find the ratio of their
perimeters and the ratio of their areas, *
Answer:
Step-by-step explanationBy definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
Milo visited an amusement park for 3 hours. He rodes rides for 50 minutes, played carnival games for 40 minutes, and ate food for 30 minutes. He spent the rest of the time waiting in lines. How much times did Milo spend waiting in lines?
Answer:
60 minutes
Step-by-step explanation:
3 hours = 180 minutes
180 - (50 + 40 + 30) = 180 - 120 = 60
The radius of a circle is 1 meter. What is the circle's area?
Please help me solve 8=11x+2
Answer:
6/11
Step-by-step explanation:
An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?
Answer:
Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.
Step-by-step explanation:
I can't draw the diagram , but will try to explain:
the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.
∅ is the angle of elevation from clinton to the eagle.
Using SOH CAH TOA,
Tan∅ =30÷12
tan∅ =2.5.
∅ =tan^-1( tan raised to power -1 )
∅ =tan^-1(2.5)
∅ = 68.19859051≅68.2 to 3s.f.
To get the distance between mr. clinton and the eagle:
Using SOH CAH TOA;
Cos68.2 =12/x cross multiplying....
x*cos68.2 =12
∴ x = 12 ÷ cos 68.2
= 12 ÷ 0.3713678356
= 32.31297611≅32.3 to 3s.f.
Hope this helps.....
The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.
Answer:
3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.
Step-by-step explanation:
In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.
Mr. Thomas has a z-score of 1.25.
He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.
Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.
Let's make sure the other choices are incorrect.
The first answer is incorrect because a z-score doesn't compare the exact values, but uses the standard deviation to compare. The second answer is incorrect because he made 782 copies, while the mean was 550. He made more copies, plus the z-score is positive. The fourth and fifth answers are incorrect because the z-score doesn't use the median to compare.Which of the following is the equation represented from the graph?
1. y = -2x + 3
2. y = 3x
3. y = -2x
4. y = 3x + 2
pls hellp
Answer:
1. y = -2x + 3
Step-by-step explanation:
Please I have a time limit of 45 mins
Answer:
The answer is 2.1 m squared
Michael has a pail that holds 5 gallons of
water. How many quarts of water does the
pail hold?
Answer:
20 quarts.
Step-by-step explanation:
Because there are 20 quarts in 5 gallons.
Juan draws a triangle on a coordinate grid. He then performs a series of transformations. Juan claims the resulting triangle is congruent to the other triangle. Select all the transformations that Juan could have performed.
How many green jolos are there in balans colony?
Answer: B. 280
Step-by-step explanation:
ur welcome
Answer:
B) 280
Step-by-step explanation:
Please help me! Please! I am so lost! Pythagorean Theorem!
(The prism said to have an equilateral triangle base has the measurements shown)
Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?
Answer:
Part A- yes, because all 3 sides are Equal (each side is 5)
Part B- yes, each rectangle has the dimensions 12*5
Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90
Part D- [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]
Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]
the area would be [tex]48\sqrt{2}[/tex]
Step-by-step explanation:
Draw the following triangle after a translation 4 units to the left and 4 units up
Answer:
just move every corner (vertices) 4 up and 4 to the left
Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3
Answer:
I think a is correct answer.
Find 0% of 44:
Find 100% of 44:
Find 50% of 44:
Find 25% of 44:
Find 75% of 44:
Answer:
0% of 44=0
100% if 44=44
50% of 44=22
25% of 44=11
75% of 44=33
what is the equation of the following graph in vertex form
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
help fast plz !!!!!!!!!
Answer:
It should be 35
Step-by-step explanation:
Please help this is Geometry
Answer:
solution given:
volume of lower one[V1]=l×b×h=1.5×0.5×0.5=0.378m³
volume of upper one [V2]=l×b×h=1×0.5×(0.75-0.5)=
0.125m³
total volume=V1+V2=0.378m³+0.125m³=0.503m³
0.503m³ is your answer
If a product of three numbers is 3150, two of the numbers are 14,15. Find the third number
Answer:
15
proof on pic......................
Naika took out a $29,300 5 year Federal Loan with an interest rate of 3.22%. She will
have to pay the loan back when she graduates in 4 years. The loan also gives her a
grace period of 12 months after graduation before she has to start making payments.
How much interest will accrue before she begins making payments on the loan?
9514 1404 393
Answer:
$4717.30
Step-by-step explanation:
Assuming the interest is capitalized only at the start of repayment, the accrued interest is ...
I = Prt
I = ($29,300)(0.0322)(4 +1) = $4717.30
The accrued interest is $4717.30.
3×1/6 Please please help
Answer:
3 can be made into 3/1. multiplying fractions is easy, divide the numerators together and the denominators together. 3x1=3 and 1x6=6. the answer is 3/6 which can be simplified into 1/2
Step-by-step explanation:
hope this helps!
Find the volume of the pyramid below.
A. 1088
B. 1360
C. 7200
D. 2400
Answer:
Answer is A
Step-by-step explanation:
add 8 x 8 x 17= 1088
1. What is –6 9/16 written as a decimal?
A -6.625
B -6.5625
C -6.4375
D-6.125
Answer:
B) -6.5625
9/16 is equal to 0.5625
Answer:
-6.5625
Step-by-step explanation:
question will save this response.
Answer:
[tex]r=\dfrac{PV}{nT}[/tex]
Step-by-step explanation:
The given equation is :
[tex]PV=nrT[/tex]
Where
P is pressure
V is volume
n is no of moles
r is Gas constant
T is temperature
We need to solve the above equation for r.
Dividing both sides of the above equation by (nT). So,
[tex]\dfrac{PV}{nT}=\dfrac{nrT}{nT}\\\\r=\dfrac{PV}{nT}[/tex]
So, the value of r is equal to [tex]\dfrac{PV}{nT}[/tex].
Please help find answer to questions 22
9514 1404 393
Answer:
A) 26°
Step-by-step explanation:
The angle x decreases at a rate that is 12 times the rate of increase of angle y.
x = 360 -12y
We want x = 2y, so ...
2y = 360 -12y
14y = 360
y = 360/14 ≈ 25.71 ≈ 26
The integer angle closest to y is 26°.
The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to the original large box?
Answer:
Answer:16
Step-by-step explanation: 2x2 is 4
4x4. Is 16w
W stand for width
Step-by-step explanation:
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
If f(x)=9ex, find f(5) rounded to the nearest tenth.
Answer:
1335.7
Step-by-step explanation:
f(5)= 9e^x
Substitute x for 5 and solve
The value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 9eˣ
The equation is an exponential form , and the value of x is substituted in the equation
When the value of x is 5
The value of e = 2.7182
x = 5
So , substituting the value of x in f ( x ) , we get
f ( x ) = 9eˣ
f ( 5 ) = 9 x e⁵
Now , e⁵ = 148.4131
And ,
The equation f ( 5 ) = 9 x 148.4131
= 1335.718
≈ 1335.7
Hence , the value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
here u go! BWABWABWABWABWA
Answer:
- 100
Step-by-step explanation:
Take 10 from both sides
t/2 + 10 - 10 = -40 - 10 Combine like terms
t/2 = - 50 Multiply both sides by 2
2*t/2 = -50*2
t = - 100
Answer:
= (-90)
Step-by-step explanation:
-90/2+10=. -80/2
2 will go into -80 ,-40 times
Which expressions are equivalent to 1/3+Bd+5/7?
Check all that apply
