Answer: A. (72π - 144) mm²
Step-by-step explanation:
[tex]A_{shaded}=A_{circle}-A_{square}\\\\\\A_{circle}=\pi \cdot r^2\\.\qquad \ =\pi \bigg(\dfrac{12\sqrt2}{2}\bigg)^2\\\\.\qquad \ =\pi (6\sqrt2)^2\\.\qquad \ =72\pi\\\\\\A_{square}=side^2\\.\qquad \quad =\dfrac{12\sqrt2}{\sqrt2}^2\\\\.\qquad \quad =12^2\\\\.\qquad \quad =144\\\\\\\large\boxed{A_{shaded}=72\pi-144}[/tex]
The area of shaded region is (72π – 144) square millimeters.
To understand more, check below explanation.
Area of shaded region:It is given that,
The diameter of circle is [tex]12\sqrt{2}[/tex] millimeters.
Since, radius = diameter/2
So that, radius of circle[tex]=12\sqrt{2}/2=6\sqrt{2}[/tex]
now, we have to find area of circle,
[tex]Area=\pi *r^{2} \\\\Area=\pi *(6\sqrt{2} )^{2} \\\\[/tex]
Area = 72π square millimeters
The side of inscribed square[tex]=12\sqrt{2} /\sqrt{2}[/tex] = 12mm
Since, area of square= (side)^2
Area of square= 12 * 12 = 144 square millimeters
To find the area of shaded region, subtract area of square from area of circle.
Area of shaded region = area of circle - area of square
Area of shaded region = (72π – 144) square millimeters.
Learn more about the area of circle here:
https://brainly.com/question/14068861
A quadrilateral has its interior angles X, 47, 95, 82. Find
the value of x
Answer:
x = 136
Step-by-step explanation:
A quadrilateral always has angles that sum to 360. Thus, 47 + 95 + 82 + x = 360. Subtract 47, 95, and 82 from each side and get x = 136.
Hope it helps <3
A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.
Find the y-intercept of the line on the graph
Answer: The Y intercept is 2
Step-by-step explanation: Your Y axis is where the line crosses the graph vertically, or going up and down. If you see, your line crosses vertically at 2. Your X intercept is -2.
A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
Find the measure of angle C of a triangle ABC, if m∠A = α, m∠B = 2α
Answer:
The measure of angle C is 180 - 3α
Step-by-step explanation:
Given;
triangle ABC, ΔABC
angle A, ∠A = α
angle B, ∠B = 2α
To calculate angle C, we must recall that, the sum of angles in a triangle is equal to 180°. Angle A, angle B, and angle C make up the total angle in the triangle.
∠A + ∠B + ∠C = 180
where
∠C is angle C
α + 2α + ∠C = 180
3α + ∠C = 180
∠C = 180 - 3α
∠C = 3(60 - α)
Therefore, the measure of angle C is 180 - 3α
Answer:
180°-3a
Step-by-step explanation:
YOU HAVE TO INSERT DEGREES SYMBOL
OMGGGGG PLEASE HELP ME GUYS
Answer:
a) 2/5
b) 1/10
Step-by-step explanation:
There are 20 people total.
a is that the chosen child is a girl.
2 + 6 = 8, --> there are 8 girls --> simplify
8/20 = 4/10 = 2/5
b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10
And thus, we have our answers.
Answer:
A) 2/5
B) 1/10
Step-by-step explanation:
A) Total Girls = 8
Total Children = 19
Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]
Probability = 8/20 = 4/10 = 2/5
B) Left-handed girls = 2
Total left handed children = 20
=> Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]
=> Probability = 1/10
Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?
Answer:
42 minutes
Step-by-step explanation:
Here we want to calculate the number of minutes ran in total.
Kindly note that;
Time = distance/speed
Her starting speed is 10 miles/hour
but she ran for 12 minutes.
Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour
So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles
Now the rest of distance to run would be ;
5 -2 = 3 miles
She ran 3 miles at a speed of 6 miles per hour.
Time spent here is 3/6 = 0.5 hours which is same as 30 minutes
Total time spent = 30 + 12 = 42 minutes
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?
Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
Complete the square
to find the vertex
of this parabola.
2
X -- 4 y-12 x+68=0
([?], [ ]
PLEASE HELP ASAP
Answer: 6,8
Step-by-step explanation:
Si incrementa 35% los precio de un restaurante.Si un salmón a la mostaza lo vendía en 28,50 y un pollo al curry en 32,80¿cuales serán los nuevos precios de estos platos?¿cual sera el monto neto que recibirá por plato sin incluir el 18%de igv?
Answer:
Los nuevos precios serán 38.50 por el salmón y 44.30 por el pollo.
El monto neto recibido será 31.57 por el salmón y 36.32 por el pollo.
Step-by-step explanation:
Para resolver este problema primero debemos calcular el 35% del precio de ambos platos para saber cuánto se incrementará su precio.
Salmón a la mostaza:
Precio anterior: 28.50
El 35% de 28.50 es (28.50)(.35) =9.975
Precio nuevo = 28.50 + 9.975 = 38.475 = 38.50
Pollo al curry
Precio anterior: 32.80
El 35% de 32.80 es (32.80)(.35) = 11.48
Precio nuevo = 32.80 + 11.48 = 44.28 = 44.30
Ahora, para calcular el monto neto que recibirá por plato sin incluir el 18% de IGV tenemos que calcular el 82% del precio de cada plato (pues 100 - 18 = 82) y este será el monto neto que se recibirá.
Salmón a la mostaza.
Precio nuevo: 38.50
El 82% de 38.50 es (38.50) (.82) = 31.57
Se recibirá 31.57 por el Salmón a la mostaza.
Pollo al curry
Precio nuevo: 44.30
El 82% de 44.30 es (44.30) (.82) =36.32
Se recibirá 36.32 por el Pollo al curry.
how to do this question plz
Answer:
[tex]y=28[/tex]
Step-by-Step Explanation:
Please refer to the attachment below.
So, notice that to find y, we simply need to determine x.
Remember that the area of a parallelogram is given by bh.
We can see that our base is x.
And our height h is half of 14. Therefore, h=7.
So, the area of one parallelogram is:
[tex]A=7x[/tex]
Then the area of four parallelograms is:
[tex]A=4(7x)=28x[/tex]
Since the total area of the shape is 308 squared centimeters. This means that:
[tex]308=28x[/tex]
Therefore:
[tex]x=11[/tex]
Then it follows that:
[tex]\begin{aligned} y&=2x+6\\ &=2(11)+6 \\ &=22+6 \\ &=28\end{aligned}[/tex]
Determine the intercepts of the line.
Answer:
Hi!
The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).
Hope this helps!
xx gloriouspurpose xx
to get t school each morning vanessa takes a horse 19.33 kilometers and a train 2.27 kilometers . in total the journey takes 26.48 minutes how many kilometers is vanessa,s journey in total?
Answer:
Step-by-step explanation:
19.33 + 2.27 + 26.48 = Total journey
19.33 + 2.27 + 26.48 = 48.08 km
Therefore, the total journey is 48.08 km
Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 15 ft high
Answer:
The height of the pile is increasing at the rate of [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e [tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:
[tex]V = \dfrac{\pi r^2 h}{3}[/tex]
[tex]V = \dfrac{\pi (h/2)^2 h}{3}[/tex]
[tex]V = \dfrac{1}{12} \pi h^3[/tex]
[tex]V = \dfrac{ \pi h^3}{12}[/tex]
Taking the differentiation of volume V with respect to time t; we have:
[tex]\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}[/tex]
[tex]\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}[/tex]
we know that:
[tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]
So;we have:
[tex]20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}[/tex]
[tex]20= 56.25 \pi \times \dfrac{dh}{dt}[/tex]
[tex]\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
The height of the pile is increasing at the rate of [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
A garden consists of an apple tree, a pear tree, some cauliflower heads, and some cabbage heads. There are 40 vegetables in the garden. 24 of them are cauliflower heads. What is the ratio of the number of cauliflower heads in the garden to the number of cabbage heads?
24 cauliflower: 16 cabbage
Apples and pears are not vegetables, which means 40 - 24 = 16.
Answer:
24:16
Step-by-step explanation:
I think.
40 total - 24 cauliflower heads= 16 other vegtable.
Number of cauliflower heads: number of cabbage heads
24: number of cabbage heads (16)
When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.
Work out the surface area of this triangular prism
Answer:
1008 [tex]cm^2[/tex]
Step-by-step explanation:
Given:
Triangular prism with
Base of triangle = 5 + 9 = 14 cm
Height of triangle = 12 cm
Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm
Lengths of faces = 13cm ,14cm and 15 cm respectively
To find:
Total surface area = ?
Solution:
3 faces are rectangular shape and 2 faces are triangular shape.
[tex]Area\ of\ rectangle = Length \times Width[/tex]
The formula for Total Surface Area of a triangular prism is given as:
[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]
So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].
PLEASE ANSWER THIS VERY FAST!! A gym membership costs $40 per month plus a one time sign up fee of $20. How many months would it take to spend $1000 for the gym membership? about 24 months or 2 years. about 12 months or 1 year. about 36 months or 3 years.
Answer:
About 24 months
Step-by-step explanation:
1000-20= 980
980/40= 24.5
Answer: about 24 months
Step-by-step explanation:
First subtract 20 from 1000 and then divide the awnser by 40
1000-20= 980
1000/ 40= 24.5
Find the m∠Z.
12degrees
15.5
4.4
47.7
Using Sine rule,
[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\
\implies \sin Z=\frac{5\sin (96\degree)}{24}\\
\implies Z \approx 12\degree[/tex]
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answer:
Let x represent the smaller number and y represent the larger number
For the first equation
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's
[tex]y = - \frac{4}{3} x + \frac{31}{3} [/tex]
For the second equation
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
y = 2x + 7Hope this helps you
Answer:
first one (A)
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
A.
Step-by-step explanation:
The equation is ax^2 + bx + c = 0.
a = -1, and b = 1.
-1x^2 + 1x + c = 0
-x^2 + x + c = 0
Hope this helps!
Please answer it now in two minutes
Answer:
8sqrt(3)
Step-by-step explanation:
30-60-90 truangle ratio of lengths of sides:
1 : sqrt(3) : 2
24/d = sqrt(3)/1
d * sqrt(3) = 24
d = 24/sqrt(3)
d = 24/sqrt(3) * sqrt(3)/sqrt(3)
d = 24sqrt(3)/3
d =
In the diagram, how many circles are there for each square?
DA 1
Answer:
Where is the figure or picture
How many positive integers of 3 digits each can be formed with the digits 1, 8, 9, 2, 7, 6, 4, and 3, if no digit is repeated in a number? 1. 27 2. 512 3. 336
Answer:
3. [tex]336[/tex]
Step-by-step explanation:
To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.
So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.
So, the answer is number 3.
Answer:
C. 336
Step-by-step explanation:
x divided by 6 - 11 = -10
Answer:
x = 50
Step-by-step explanation:
[tex]\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50[/tex]
Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to find the other side of the garden.
Answer:
22m
Step-by-step explanation:
The computation is shown below:
Since it is a right-triangular garden so we use the pythagoreus theorem
As we know that
The C^2 refers to the longest side of the right-triangular garden
So,
a^2 + b^2 = c^2
a^2 + 14^2 = 26^2
a^2 + 196 = 676
a^2 = 480
So a = 22m
Hence, the other side of the garden is 22m
Guys, anyone pls help me..
Answer:
formula of circumference =p=theater÷360×2×pie×r
Step-by-step explanation:
so its a right angle.so =90%
the answer is 15.70
round off.=16cm
Answer:
Step-by-step explanation:
1. ON^2=10^2-8^2=100-64=36
ON=V36=6 cm
MON=MO+ON=10+6=16 cm
2. MO=ON=V13^2=12^2=V169-144=V25=5cm
MON=MO=ON=5+5 =10cm
round off 53.96 to the nearest tenth
Answer:
54.0
Step-by-step explanation:
53.96
The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).
Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.
9 + 1 = 10
Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.
53.96
54.00
Since you are focusing on the tenth place, keep the zero sitting on that spot.
54.0
how to calculate 71-5(3)-(4*4)
Answer:
40
Step-by-step explanation:
first do what is in the parentheses (4*4) which is 16 then rewrite the whole equation. 71-5(3)-16. then you'll want to multiply 5 times 3 because if there is no sign before the parentheses then it is automatically multiplication. 5 times 3 is 15. rewrite the equation again. 71-15-16 then simply subtract.
Hope this helps! :)
find the value of the equation which is in below :
[tex]1 \div 4 + \sqrt{3} [/tex]
plz give the answer with step by step explanation
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]1/4+\sqrt{3} \\1/4+\sqrt{3} (Criss cross)\\1+4\sqrt{3} \\5\sqrt{3}[/tex]
Hope I am correct