Answer:
5 in
Step-by-step explanation:
The area of a composite shape: area of the bigger shape - the area of the smaller shape.
In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.
1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.
Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.
Area of a rectangle: l x w, where l is the length and w is the width.
Trapeziums
= 1/2 x (3 + 8) x 5.5 x 2
= 1/2 x 11 x 5.5 x 2
= 1/2 x 60.5 x 2
= 30.25 x 2
= 60.5
Rectangle
= 14 x 3
= 42
Area of the shaded region (bigger shape): trapezium + rectangle
= 60.5 + 42
= 102.5
2) Unshaded region (smaller shape):
Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.
= 1/2 x (14 + 25) x 5
= 1/2 x 39 x 5
= 1/2 x 195
= 97.5
3) Area of the bigger shape - the area of the smaller shape
= 102.5 - 97.5
= 5 in²
There are a total of 12 bicycles and tricycles in a parking lot. If there are 31 wheels in all, how many of them are bicycles?
Answer:
5 bicycles
Step-by-step explanation:
5 * 2 = 10 wheels
7 * 3 = 21 wheels
10 + 21 = 31
Hope this helped! Brainliest :)
will give brainliest!!
Evaluate [(40 + 5) – 321 = 9.2
- 9.3
- 8.6
- 8
- 2
Answer:
The answer should be 9.2
Step-by-step explanation:
Im lowkey kinda lost in this one ngl
Your younger brother is getting stickers from a vending machine at the local supermarket. A proportion of stickers have the
phrase "Girls Rule!" If there are eight stickers with this message in a sample of 36 stickers, what is the 95% confidence interval
for this proportion? (1 point)
0 (0.0864, 0.3580)
0 (0.0862, 0.3578)
0 (0.0847, 0.3553)
0 (0.0812, 0.3256)
Answer:
p^=368=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222),0.2222+1.96360.2222(1−0.2222))==(0.0864,0.3580).
=(0.0864,0.3580).
Step-by-step explanation:
flvs?
The 95% confidence interval for the given proportion is (0.864, 0.3580).
What is a confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.
Given total samples = E = 36
number of outcomes = 8
probability = p = 8/36 = 0.2222
value of z for 95% confidence interval = 1.96
intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])
taking positive sign
= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580
taking negative sign
= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.0864
Hence, the intervals are (0.864, 0.3580), and option A is a suitable answer.
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The half-life of a particular radioactive substance is 10 seconds. If you started with 100 grams of this substance, how much of it would remain after 60 seconds?
There are 1.5625 grams of the radioactive substance that would remain after 60 seconds.
What is an exponent?The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.
The exponent is given as:
y = a (1 - r)ˣ
As per the question, we have
a = 100, and r = 0.50 and x = 6
Substitute the known values in the above formula, and we get
y = 100 × (1-0.50)⁶
y = 100 × (0.50)⁶
y = 100 × 0.015625
Apply the multiplication operation, a
y = 1.5625
So, after 60 seconds, 1.5625 grams of the radioactive substance would remain.
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based on the experimental probability about how many times will yosef draw a green marble if he draws a total of 75 marbles
Which statements are true for the following expression?
(9 + 1) · 5
Answer:
50
Step-by-step explanation:
add
9 + 1 = 10
multiply
10 * 5 = 50
Answer: 50
Katie practiced her flute for 45 mins Then she ate a snack for 15 mins Next She watched televosion for 30 mins until 6:00 p.m at what time did Katie start practicing the flute
Please answer I am stuck on this problem
Answer:
20+2C
Step-by-step explanation:
sum means addition
if Craig's age is c than twice his age is 2xC, also expressed as 2C
20+2C
Select the reason that best supports Statement 7 in the given proof.
Answer:
the guy above if right it is D
Step-by-step explanation:
I did the work on Acellus and pick D IT GAVE ME A CHECK MARK
The reason that supports the statement 7 in the given proof is D. Subtraction property of equality.
What is Subtraction property of equality?Subtraction property of equality is defined as, if an equation is of the form,
a = b,
then any number subtracted from both sides makes the equation same.
a - c = b - c
Here, given a proof for the value of x.
In the 6th step, by substitution,
55 = 5x + 10
This is an equation.
We need term in x on one side and a constant term on other side.
For that, if we subtract both sides by 10,
55 - 10 = 5x + 10 - 10
45 = 5x
So here the subtraction property of equality is used.
Hence the correct option is D.
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The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.
The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.
A 20-inch pizza has an area of 314 in? That pizza is
divided into eight equal slices. What is the area of two slices of
that pizza?
A. 3114 in2
B. 78.5 in2
C. 39.25 in2
D. 314 in2
The area of each pizza is gotten by dividing the total area by the number of slices. Therefore, the area of two slices of that pizza is 31.4 inches².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words the area is the space occupied by a flat shape or the surface of an object.
Therefore, 20 inch pizza has an area of 314 inches². The pizza is divided into 8 equal slices.
Each area of the slices = 314 / 20
Each area of the slices = 15.7 inches²
Therefore, the area of two slices of the pizza is as follows:
area of two slices = 15.7 + 15.7 = 31.4 inches²
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9,000 were divided equally among a certain no of persons . had there been 20 more person each would have got rupees 160 . find the original no of persons
Answer:
let the number of persons be " x "
and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.
______________________________________
let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,
let us suppose each person gets an amount of " r " rupees.
then ,
[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]
_____________________________________
According to Question ,
hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.
hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -
[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]
lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]
[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]
on dividing the complete equation by (- 160)
[tex]x { }^{2} + 20x - 1125 = 0[/tex]
now , use the method of splitting the middle term so that we get the value of x.
[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]
since number of persons can't be negative. therefore ,
number of persons = x = 25
_____________________________
_____________________________
hope helpful :D
Evaluate the function graphically.
Find f(3)
Is -2 a whole number or irrational number?
Answer:
It is neither.
Step-by-step explanation:
A whole number is all numbers is 0, 1, 2, 3, 4.... you get it
An irrational number is a number that cannot be written as a fraction and -2 can be written as -2/1
factorise: x^4– 5x^2 + 4
Answer:
(x - 2)(x - 1)(x + 1)(x + 2)
Step-by-step explanation:
[tex] {x}^{4} - 5 {x}^{2} + 4 \\ \\ = {x}^{4} - 4 {x}^{2} - {x}^{2} + 4 \\ \\ = {x}^{2} ( {x}^{2} - 4) - 1( {x}^{2} - 4) \\ \\ = ( {x}^{2} - 4)( {x}^{2} - 1) \\ \\ = (x + 2)(x - 2)(x + 1)(x - 1) \\ \\ = (x - 2)(x - 1)(x + 1)(x + 2)[/tex]
Answer:
[tex](x+1)(x-1)(x+2)(x-2)[/tex]
Step-by-step explanation:
To factorise [tex]x^4-5x^2+4[/tex] :
Let [tex]x^2=u[/tex]
[tex]\implies x^4-5x^2+4=u^2-5u+4[/tex]
Now factorise [tex]u^2-5u+4[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b[/tex]
[tex]\textsf{and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]\implies v=-1, w=-4[/tex]
[tex]\implies u^2-u-4u+4[/tex]
Break into groups
[tex]\implies (u^2-u)+(-4u+4)[/tex]
Factor each parentheses:
[tex]\implies u(u-1)-4(u-1)[/tex]
Factor out common term [tex](u-1)[/tex]:
[tex]\implies (u-1)(u-4)[/tex]
Substitute back [tex]u=x^2[/tex] :
[tex]\implies (x^2-1)(x^2-4)[/tex]
Factor both parentheses using the Difference of Two Squares: [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]\implies (x+1)(x-1)(x+2)(x-2)[/tex]
Therefore, the factorisation of [tex]x^4-5x^2+4[/tex] is
[tex](x+1)(x-1)(x+2)(x-2)[/tex]
find perimeter of a semicircle that has radius of 6cm (give answer in 2 d.p)
Answer:
30.84 cm
Step-by-step explanation:
Formula for perimeter of semi-circle = πr + 2r
Radius (r) = 6 cm
π = 3.14
Perimeter
= πr + 2r
= 3.14(6) + 2(6)
= 3.14(6) + 12
= 18.84 + 12
= 30.84 cm
_________
Hope it helps ⚜
Answer:
30.85 cm to 2 d.p.
Step-by-step explanation:
The perimeter is made up of the diameter ( = 2*radius) and half a full circle
= 6*2 + 1/2 * π* 6
= 12 + 3π
= 30.849
Please help its decimals
Each line they are adding 4.96
11.72 + 4.96 = 16.68
Answer:
the correct answer is 16.68
What is an estimate of 37.9% of 192.3?
A 57
B 02
C 80
D 100
Answer:
C.80
Step-by-step explanation:
37.9% of 192.3
=37.9/100 × 192.3
=0.379×192.3
=72.8817
≈80 (possible answer)
Which expression is equivalent to 125 x 15,??
y
O 5x®y3z
0 5x²y5z
O 25x²y3z
O 25x²y5z
Answer:
25²×3is the equivalent answer
find the value of x
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]
find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1 m
Answer: 666.22 m^3
Step-by-step explanation:
The formula for the volume of a right circular cone is: V = π*r^2*(h/
3)
Therefore, plugging in 14.1 for "r" and 3.2 for "h" yields 666.22
A mother shared $400 amongst her three daughters Amy, Beatrice and Claire in the ratio of 3:2:5 respectively. How much money did Amy receive?
Answer:
$120
Step-by-step explanation:
Total Parts = 3+2+5 = 10
400 / 10 = $40 per part
Amy = 40 x 3 = 120
solve for x:
-3(x-2)^2+17=0
round your answer to the nearest hundredth
Answer:
-3(x-2)×2+17=0
-3x+6×2+17=0-3x+12+17=0-3x+29=0-3x=0-29=-29-3x=-2929÷3=9.700 to the nearest hundredthIvanna needs to buy some pencils. Brand A has a pack of 36 pencils for 8.52 . Brand B has a pack of 48 pencils for 9.98 . Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
Brand B is better
Step-by-step explanation:
Brand A's unit price is $0.24
Brand B's unit price is $0.21
Simplify the following variable expressions
what numbers can you make ?
Answer:
196
Step-by-step explanation:
The length and width of the park are measured in linear units. inches, miles, meters, etc the area is measured in square units. explain the reason for using square units for area of the park. (please hurry and make it not too long please )
The area is measured in square units because it is the product of two units which gives square unit.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
The area of a rectangular park is gotten from the productiif the width and length, hence:
Area = length * width
The area is measured in square units because it is the product of two units which gives square unit.
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A circular swimming pool has a radius of 20 feet. The family that owns the pool wants to put up a circular fence that is 5 feet away from the pool at all points. Which is closest to the circumference of the fence they will need?
Answer:
157.08 ft
Step-by-step explanation:
R = 20+5 = 25
Circumfrence = 2*pi*r = 2*pi*25 = 157.079 ft
Need help with this, I’ll give brainliest for an explaining response :)
Answer:
d
Step-by-step explanation:
The answer must be a multiple of 4, because 4q⁵rs⁴ is divisible by 4. Only option d has this condition.
their sum is -11 and difference is 41
Answer:
15 and -26.
Step-by-step explanation:
Answer:
15 and -26
Step-by-step explanation:
just bc