This figure is a square, with side lengths as shown.
415 mm
What are the perimeter and the area of the square?
80
200
400
8√5 16√5
32√5
The perimeter of the square is,
The area of the square is_
millimeters.
square millimeters
Answers
The perimeter and area of the square are 16√5 mm and 80 mm²
How to find perimeter and area of a square?Perimeter of a square = 4L
where
l = lengthTherefore,
Perimeter of a square = 4 × 4√5
Perimeter of a square = 16√5 mm
Area of a square = l²
Area of a square = (4√5)²
Area of a square = 16 × 5
Area of a square = 80 mm²
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Related Questions
An automobile manufacturer produces production parts with 98% accuracy. What is the probability that in a production run of 25 parts, at most 2 are found to be defective?
Answers
An automobile manufacturer produces production parts with 98% accuracy. the probability is mathematically given as
P(X\leq2) = 0.9868
What is the probability that in a production run of 25 parts, at most 2 are found to be defective?Generally, the equation for the probability is mathematically given as
[tex]P(X\leq2) = P(X=0) + P(X=1) + P(X=2)[/tex]
Therefore
[tex]P(X=0)=\binom{25}{0}* 0.98^{25}* 0.02^{0}=1* 0.6035* 1\\\\P(X=0)=0.6035[/tex]
Hence
P(X=1)=0.3079
P(X=0)=0.07554
In conclusion, bringing the equation into view
[tex]P(X\leq2) = P(X=0) + P(X=1) + P(X=2)[/tex]
[tex]P(X\leq2) = 0.6035 +0.3079 + 0.07554[/tex]
P(X\leq2) = 0.9868
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In which table does yvary directly with x?
Answers
The table in which y varies directly with x is table C.
What is direct variation?
When a variable varies directly with another variable, it means that as one variable increases, the other variable also increases.
The equation that is used to represent direct variation is:
y = kx
Where y is the constant of proportionality
In table c, k is equal to 26
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Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
if it's diameter is 19, then its radius must be half that, or 9.5.
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3[/tex]
Please help me solve the x and y values in thes simultaneous equation;
Answers
Answer:
x = 3 or x = 1
y = 3 or y = -1
(x, y) = (3, 3)
(x, y) = (1, -1)
Step-by-step explanation:
What type of triangle has only two congruent sides?
Answers
Answer: A triangle that only has two congruent sides is called an isosceles triangle. Two equal sides and two equal angles.
Find the minimum distance between the point (-3,2) and the line y = -x + 1
(Enter an exact answer with a square root.)
Answers
The minimum distance between the point(-3,2) and the line y = -x + 1 is [tex]\sqrt{2}[/tex] units.
What is a line segment?The line that joins two points on a cartesian plane is a line segment.
Analysis:
The formula for calculating distance between a line and a point is
d = [tex]\frac{Ax1 + By1 + c}{\sqrt{A^{2} + B^{2} } }[/tex]
where A = coefficient of x term of the line, B = coefficient of y in the line and C is the constant term of the line.
x1 and y1 are coordinates of the point.
for the line y = -x + 1 which is = y + x -1 = 0, A = 1, B = 1, C = -1, x1 = -3, y = 2
d = [tex]\frac{1(-3) + 1(2) + (-1)}{\sqrt{(-3)^{2} + 2^{2} } }[/tex]= [tex]\sqrt{2}[/tex] units
In conclusion, the distance between the point and the line is [tex]\sqrt{2}[/tex] units
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how do I Simplify 4+9x2÷3-1
Answers
Step-by-step explanation:
Step 1: Simplify
[tex]4+9x^2/3 - 1[/tex]
[tex]=4+3x^2+-1[/tex]
Step 2: Combine Like Terms:
[tex]= 4+3x^2+1-1[/tex]
[tex]= (3x^2)+(4+-1)[/tex]
Answer: [tex]= 3x^2+3[/tex]
Explanation in words (Short Form)
- The first step is to use the formula and simplify it. So first we will Rewrite the division as a fraction.
- The second step is to Cancel the common factor of 9 and 3. Then Factor 3 out of 3. After that Cancel the common factor.
- The third step is to divide [tex]3x^2[/tex] by 1. Then at the end, subtract 1 from 4. The answer will result as [tex]3x^2+3[/tex]
Answer:
[tex]=3x^2+3[/tex]
Hope this helps.
Which would give you … 4+6-1
And the answer is 9 .
Rice Yield = 600 - 2.05 * Maximum Temperature, R-Squared = 0.05, Standard Error of Regression = 11.5.
(a) What is the interpretation on the coefficient on Maximum Tem perature in this regression? (2 Marks)
(b) If Average Maximum Temperature in a district during the growing season is 25◦C, what is the annual rice yield in that district? (1 Mark)
(c) How do you interpret the R-Squared coefficient in this regression? (1 Mark)
(d) A district had an Average Maximum Temperature during the growing season of 25◦C , and suppose it increased to 30◦C, What is the regression’s prediction for the change in this district’s Yearly Rice Yield? (1 Mark)
Answers
Answer:
Calculate it you will now the answer and im elementery school
please help i need to turn this in!!!
Answers
Answer:
a. $3150
b. $3307.50, $3472.875
c. B(n) = 3000(1.05)^t
Step-by-step explanation:
just a disclaimer i havent done interest in a while so this might not be right
also im assuming this is compound interest
a. P = original amount; r = interest percentage, x = amount of total money
x = P(1 + (r/100)) = 3000(1 + 0.05) = 3150
b. x = 3000(1.05)^2,3 = 3307.5, 3472.875
c. B(n) = P(1+(r/100)^t for t in years. plug in the values to get B(n) = 3000(1.05)^t
If you help me you get a lot of points
Answers
Answer:
Step-by-step explanation:
#a
pattern 0 will include 4 reds in square
Because it's independent of pattern no
#b
Figure 1 has 4+4=8
Figure 2=4+8+2=14
Figure 3=4+12+3=19
The pattern n rule is
n²+3n+4So for 13th n
13²+3(13)+4169+39+4212squares#c
attached
y=x²+3x+4#d
Already given in c
in which situation do the qaultities cobine to make 0
Answers
If you apply the below transformations to the square root parent function,
F(x)=√x, what is the equation of the new function?
• Shift eight units left.
. Shift two units down.
O A. G(x) = VX- 2 - 8
B. G(x)=√x-8-2
C. G(x)=√x+8 - 2
OD. G(x)=√x-2 +8
Answers
Answer:
C. g(x) = sqrt(x+8)-2
Step-by-step explanation:
"Shift two units down" is easier to see in the equation because an up or down shift is just tacked right on to the end of the equation. So "shift DOWN 2" is a minus two on the end of the equation. This means that A and D are both NOT the answer.
Left and right shifts are the opposite of what you might expect. Left shift is a "+ anumber" and Right shift is
"- anumber" This is tucked in very close to the x, because a left or right shift is a change in the x-direction. Again left shift is "+ anumber", so in your question, "shift eight units left" shows in the equation as the plus8 beside the x.
So B is wrong and C is the answer.
100 POINTS
Give explanation also pls or reported
AB is a common tangent of circles C, D, E and F.
Suppose that AC = 12, DB = 9 and AE = BF = 3.
If the midpoint of EF is the center of a circle that is tangent to both circles E and F, what are the possible values for its radius?
Answers
Answer:
6√3 ±3 ≈ {7.392, 13.392}
Step-by-step explanation:
The length of AB is the long side of a right triangle with hypotenuse CD and short side (AC -BD). The desired radius values will be half the length of EF, with AE added or subtracted.
__
length of ABRadii AC and BD are perpendicular to the points of tangency at A and B. They differ in length by AC -BD = 12 -9 = 3 units.
A right triangle can be drawn as in the attached figure, where it is shaded and labeled with vertices A, B, C. Its long leg (AB in the attachment) is the long leg of the right triangle with hypotenuse 21 and short leg 3. The length of that leg is found from the Pythagorean theorem to be ...
AB = √(21² -3²) = √432 = 12√3
tangent circle radiiThis is the same as the distance EF. Half this length, 6√3, is the distance from the midpoint of EF to E or F. The radii of the tangent circles to circles E and F will be (EF/2 ±3). Those values are ...
6√3 ±3 ≈ {7.392, 13.392}
Answer:
6√3 ± 3
Step-by-step explanation:
AC is the radius of Circle C ⇒ radius = 12
DB is the radius of Circle D ⇒ radius = 9
Therefore, CD = AC + DB = 12 + 9 = 21
AE is the radius of Circle E ⇒ radius = 3
BF is the radius of Circle F ⇒ radius = 3
If AB is the common tangent of Circles C, D, E and F, then:
∠CAB =∠AEF = ∠DBA = ∠BFE = 90°
(as the tangent to a circle is always perpendicular its the radius).
Also AB = EF
To find the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F, we first need to find the length of EF (marked by x on the attached diagram).
CD is the hypotenuse of a right triangle with base equal to EF and a smaller leg of the difference between the radii of Circles C and D.
(Refer to the green shaded triangle on attachment 1)
Therefore, to find EF (x), use Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 3² + x² = CD²
⇒ 3² + x² = (12 + 9)²
⇒ 9 + x² = 441
⇒ x² = 432
⇒ x = √432
⇒ x = 12√3
⇒ EF = 12√3
As the radius of Circles E and F is 3, the possible diameter of the circle with its center as the midpoint of EF is 6 less or 6 more than the length of EF.
⇒ diameter = EF ± 6
= 12√3 ± 6
As the radius is half of the diameter, the possible radii of a circle whose center is the midpoint of EF and is tangent to both circles E and F is:
⇒ radius = diameter ÷ 2
= (12√3 ± 6) ÷ 2
= 6√3 ± 3
(see attachments 2 and 3 → the possible circles are shown in orange)
Which statement correctly compares the function shown on
this graph with the function y = 4x + 2?
Answers
Two six-sided dice are rolled. Using the sample space for rolling two dice shown in the figure below, find the probability that the sum of the dice is either 4 or 7. Give your answer as a reduced fraction.
Answers
Answer:
Step-by-step explanation:
There are 36 ways 2 dice can be thrown. Sometimes colors are used to tell the difference between the dice.
36 comes from 6*6
Suppose you have 2 dice 1 blue and the other white
Blue White
1 1
2
3
4
5
6
There's 6 ways that have been thrown. Then you go to the blue dice being 2. You get six more. Then 3 gives you six more 4 gives you another six. and so on. The whole procedure adds to 36
you can throw a four 3 ways
Blue white
1 3
3 1
2 2
You can throw 7 six ways
Blue white
1 6
6 1
2 5
5 2
3 4
4 3
So of the 36 ways to throw the dice 9 will successful. (6 + 3)
Answer: 9/36 = 1/4 times you will be successful
Jamal puts $2300 into an account that does not earn any interest.
Every month after that, he deposits the same amount of money.
This sequence
represents his account balance for the first few months:
$2300, $2500, $2700, ...
What is the explicit formula for the amount of money in his account at the beginning of month n?
A. a(n) = 2300 + (n − 1)200
B. a(n) = 200-2300"-1
C. a(n) = 2300 200-1
D. a(n) = 200+ (n − 1)2300
Answers
The explicit formula for the amount of money in his account at the beginning of month n is a(n) = 2300 + (n − 1)200.
What is the explicit formula?The explicit formula would be a linear function. A linear function is a function that has a single variable raised to the power of 1.The rate of increase in the account is a constant amount : $200
Amount of money at the beginning of the month = beginning balance + (number of months - 1) x rate of increase
a(n) = 2300 + (n − 1)200
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help me with this problem please i’m confused
Answers
Answer:
3rd
Step-by-step explanation:
If you know about linear eq. it's just a simple rule no worry
Given that tan^2 theta=3/8,what is the value of sec theta?
Answers
Answer:
Sqrt (11/8)
Step-by-step explanation:
Sec^2 - Tan^2 = 1
- Tan^2 = 1 - Sec^2
Tan^2 = -1 + Sec^2
Tan^2 = 3/8
3/8 = -1 + Sec^2 Theta
1 + 3/8 = Sec ^2 Theta
11/8 = Sec^2 Theta
Sqrt ( 11/8) = Sec of theta
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
Describe how the product of 0.4 x 2 would look on a ten-square grid.
The product would have____
squares shaded out of 10.
Answers
Explanation:
Draw out a 10 squares.
Shade in 4 of them to represent 4/10 = 0.40 = 0.4
Then use another color to shade another 4 squares. You should have 4+4 = 8 squares shaded, out of 10 total, giving 8/10 = 0.80 = 0.8
This is one visual way to see how 0.4 x 2 = 0.8
In other words, 0.4 x 2 means we have two copies of 0.4 added together. You could write it as 0.4 x 2 = 0.4 + 0.4 = 0.8 if you wanted.
See the diagram below.
pls help plsssssssssssssssssssssssssssssssssssssssssss ASAP
Answers
If Mr. Price adds two more CDs that are 38 minutes and 40 minutes, the third quartile would increase.
What is the impact of adding two more CDs?A box plot is used to study the distribution and level of a set of scores. The two whiskers represent the minimum and maximum value.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
When the two CDs are added, the median would decrease. The first quartile and the third quartile would increase. The interquartile range would increase.
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19 Which figure(s) below can have a triangle as a two-dimensional cross
section?
I. cone
II. cylinder
III. cube
IV. square pyramid
(1) I, only
(2) IV, only
(3) I, II, and IV, only
(4) I, III, and IV, only
Answers
The figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only
How to determine the figures?The cross-section of three-dimensional figures are as a result of slicing the figure along its axis.
When the cube is sliced with its plane, it gives a triangle faceWhen a cone is sliced vertically, it gives a triangle faceOne of the faces of a square pyramid is a triangle; so it has a triangle faceHence, the figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only
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5+√2/4+√8
can be written in the form
where r and s are both integers.
What are the values of r and s?
r-s√2/4
Answers
Answer:
r = 5 ; s = -9
Step-by-step explanation:
Radical simplification.First simplify √8 by
Prime factorize 8Make pairs of similar factorTake one factor out of every pair.[tex]\sf \sqrt{8}=\sqrt{2*2*2} = 2\sqrt{2}\\[/tex]
[tex]\sf \dfrac{5+\sqrt{2}}{4}+\sqrt{8}= \dfrac{5+\sqrt{2}}{4}+ 2\sqrt{2}[/tex]
Find LCM and simplify
[tex]\sf = \dfrac{5+\sqrt{2}}{4}+\dfrac{2\sqrt{2}*4}{1*4}\\\\ =\dfrac{5+\sqrt{2}+8\sqrt{2}}{4} \ {\bf Combine \ like\ terms} \\\\ = \dfrac{5+9\sqrt{2}}{4}\\\\[/tex]
[tex]\sf \boxed{r=5}\\\\\boxed{s =-9}[/tex]
Math need help please
Answers
Answer:
none
Step-by-step explanation:
4x - 6 = 2(2x + 3)
4x - 6 = 4x + 6
Everything cancels out meaning there are no real solutions
x – y = 2 2x = 3y in elimination method
Answers
Answer:
x=6, y=4
Step-by-step explanation:
x - y = 2
2x = 3y => 2x - 3y = 0
x - y = 2 | ×(-2) => -2x + 2y = -4
2x - 3y = 0
-2x + 2y = -4
2x - 3y = 0
___________
0 - y = - 4 | ×(-1)
y = 4
Substitution in x - y = 2:
x - 4 = 2 | +4
x = 2+4 = 6
What is the equivalent decimal to this fraction? 10/45 0.2 0.222222222... 0.232323232323... 0.181818181818...
Answers
Factorize the numerator and denominator, then simplify:
10/45 = (2×5)/(9×5) = 2/9
Now,
1/9 = 1/10 + 1/90
1/90 = 1/10 × 1/9 = 1/10 × (1/10 + 1/90) = 1/100 + 1/900
1/900 = 1/100 × 1/9 = 1/100 × (1/10 + 1/90) = 1/1000 + 1/9000
and so on, which is to say
1/9 = 1/10 + 1/100 + 1/1000 + …
or
1/9 = 0.111…
so that multiplying both sides by 2 gives
2/9 = 0.222…
What slope would make the lines parallel
Answers
Answer:
3
Step-by-step explanation:
Parallel lines are a fixed distance apart and will never meet, no matter how long they are extended. Lines that are parallel have the same gradient . The equations above, y = 3x -2 and y = ? x +3 have the same gradient of 3 if they are to be parallel
Hope you understood and this helped and have a good day
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7.
How much money did the class earn by selling tickets to the play?
\$
Answers
Answer:
the class earned $722059884
Step-by-step explanation:
because each person sold 444 tickets and there was 232323 students
=232323×444
=103151412
because 103151412 tickets were sold and a ticket cost $7
=103151412×7
=722059884
At the end of every month, Katie saves 20 percent of her take home pay after her taxes. If Katie is taxed at a 25 percent tax rate, which of the following expressions represents Katie’s total savings at the end of six months? A. 0.9S B. 1.5S C. 2.2S D. 2.8S
Answers
The correct answer is option A which is the expression will be 0.9S.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
At the end of every month, Katie saves 20 percent of her take-home pay after her taxes. If Katie is taxed at a 25 percent tax rate,
The expression of the salary after six months will be calculated as:-
Let the gross salary is S
The net salary will be = 0.75S
Savings will be = 0.75 x 0.20 S = 0.15S
After six months the savings will be:-
Savings = 0.15 x 6 S
Savings = 0.9S.
Therefore the correct answer is option A which is the expression will be 0.9S.
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Suppose a square pyramid has a height of 5 meters and a base whose area is 36 square meters.
Explain how to determine the slant height of the pyramid.
Answers
The slant height can be found using Pythagoras theorem, the slant height is the hypotenuse side of the pyramid. Therefore, slant height = √34 meters
How to find the slant height of a pyramid?The base of the pyramid is a square.
Therefore,
area of a square = l²
where
l = side lengthhence,
area of the base = l
36 = l²
l = √36
l = 6 meters
Therefore, using Pythagoras theorem,
l² = 5² + 3²
l² = 25 + 9
l² = 34
l = √34 meters
slant height = √34 meters
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P(A1) = .20, P(A2) = .40, P(A3) = .40, P(B1 | A1) = .25, P(B1 | A2) = .05, and P(B1 | A3) = .10. Use Bayes’ theorem to determine P(A3 | B1).
Answers
Answer:The result follows from manipulating the conditional probability. By definition,
By the law of total probability,
So we have
Step-by-step explanation:
P(A|B) = P(B|A)×P(A)/P(B)
so, in our case
P(A3|B1) = P(B1|A3)×P(A3)/P(B1) = 0.1×0.4/P(B1)
I assume that the problem definition means that A1, A2, A3 are independent and not overlapping events (hence their sum is 1). and therefore, B1 can only happen after A1 or after A2 or after A3. there is no other possibility for B1 to happen.
so,
P(B1) = P(B1|A1) + P(B1|A2) + P(B1|A3) =
= 0.25 + 0.05 + 0.1 = 0.4
therefore,
P(A3|B1) = P(B1|A3)×P(A3)/P(B1) = 0.1×0.4/0.4 = 0.1