Answers
Answer:
(b) 64 sq. in.
Step-by-step explanation:
The shaded area is the difference between the overall area and the areas of the cutout corners.
The overall area is 10 in by 10 in, so is ...
A = s² = (10 in)² = 100 in²
The area of the cutout at each of the four corners is ...
A = s² = (3 in)² = 9 in²
So, the total area of the four cutouts is ...
cutout area = 4 × 9 in² = 36 in²
The remaining area is then ...
100 in² -36 in² = 64 in²
Related Questions
Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6
Answers
Answer:
not a solution
Step-by-step explanation:
substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.
2(2) - 4(- 1) = 4 + 4 = 8 ← true
- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1
then (2, - 1 ) is not a solution of the system
For a research project on rodents, 41 chipmunks were tagged and released. Later, researchers counted 320 chipmunks in the area. Of the chipmunks they counted, 16 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?
Answers
820 rodents in total
------------------------------------
create a proportional equation:
[tex]\sf \dfrac{present \ rodents}{present \ marked \ rodents} = \dfrac{later \ rodents}{later \ marked \ rodents}[/tex]
[tex]\hookrightarrow \sf \dfrac{x}{41} = \dfrac{320}{16}[/tex] ( Let the total population be x )
[tex]\hookrightarrow \sf x= \dfrac{320*41}{16}[/tex]
[tex]\hookrightarrow \sf x= 820[/tex]
Let that be x
[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{16}{320}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{41}{x}=\dfrac{1}{20}[/tex]
[tex]\\ \rm\Rrightarrow x=41(20)=820[/tex]
Failing to reject a false null hypothesis is classified as a.
Answers
Answer:
it classified as a
error.
Step-by-step explanation:
cuanto es 4{(-50+-5)÷3]+6}x[-4+-3÷1)÷3]
Answers
Answer:
-148/3 or -49.3
Step-by-step explanation:
An equation is shown.
3m • 3 = 3-2
What are the possible values for m and n?
Answers
Answer:
n=3m+5
n−2m=3
\hboxsubstitute3m+5forninthesecondequation:
3m+5−2m=3
m+5=3
m=3−5
m=−2
n=3m+5
n=3×(−2)+5
n=−6+5
n=−1
(m,n)=(−2,−1)
The answer is C.
6-10 divide, another onee thank you!!
Answers
Answers:
10.) [tex]\displaystyle \pm{5}[/tex]
9.) [tex]\displaystyle 1\frac{1}{2}[/tex]
8.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
7.) [tex]\displaystyle \pm{1\frac{1}{2}}[/tex]
6.) [tex]\displaystyle \pm{\frac{1}{2}}[/tex]
Step-by-step explanations:
10.) [tex]\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}[/tex]
9.) [tex]\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}[/tex]
8.) [tex]\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
7.) [tex]\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}[/tex]
6.) [tex]\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}[/tex]
I am joyous to assist you at any time.
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
Answers
Step-by-step explanation: the ratio was two to three Moses ran 8 laps meaning 2 multiplied by 4 now you multiply 3 times 4 to get your answer
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. The table shows values of a function f (x). What is the average rate of change of f (x) over the interval from x = 5 to x = 9? Show your work.
x | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
f(x) | -4 | -2 | 8 | 10 | 11 | 14 | 18 |
2. Given [tex]f(x)=4x^2 +6x[/tex] and [tex]g(x)=2x^2 + 13x + 15[/tex], find [tex](\frac{f}{g})(x).[/tex] Show your work.
3. Given[tex]f(x)=x^2 - 6x + 8[/tex] and [tex]g(x)=x-2[/tex], solve [tex]f(x)=g(x)[/tex] using a table of values. Show your work.
Much thanks and appreciation!
Answers
Answer:
y=0.9x-45
Step-by-step explanation:
When you substitute the values of x you have to get same values as given in the table
For example: substitute x=50 in the equation y=0.9x-45
Y= 0.9(50)-45
Y= 45-45
Y=0
Step-by-step explanation:
If y = 35 when x = 140, what is the value of y when x = 70?
Answers
Answer:
17.5
Step-by-step explanation:
x and y are in the ratio: 1 : 4
which means that if y is 35 x is 4 times y equating to 140
hence if x is 70 then y is 17.5
Miras kitchen sink holds up to 103.468 liters of water. Round this amount to the nearest liter
Answers
Answer:
103
Step-by-step explanation:
To find the nearest liter look at the 4th digit in the actual number, 103.468. Since the value of 4 is less than 5 you'll round down to 0 making the nearest liter 103.
**WILL GIVE BRAINLIEST** please help me
Answers
Answer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWER
A 60 cm high cylinder with 14 cm its diameter is cut vertically into two equal halves. what is the volume of a half part
Answers
The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.
Volume of a cylindervolume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 14 / 2 = 7 cm
h = 60 cm
volume of the cylinder = π × 7² × 60
volume of the cylinder = π × 49 × 60
volume of the cylinder = 2940π cm³
The volume of the half part = 2940π / 2 = 1470π cm³
learn more on volume here: https://brainly.com/question/13267675
ANSWER QUICK PLS!!! LOTS OF POINTS!!!
Answers
Answer:
x = 8
Step-by-step explanation:
∠M = ∠K7x - 4 = 5x + 122x = 16x = 8Answer:
x = 8
m∠M = 52°
m∠K = 52°
m∠L = 128°
m∠J = 128°
Step-by-step explanation:
If the given shape is a parallelogram, its opposite interior angles are equal.
⇒ m∠M = m∠K
⇒ 7x - 4 = 5x + 12
Subtract 5x from both sides:
⇒ 2x - 4 = 12
Add 4 to both sides:
⇒ 2x = 16
Divide both sides by 2:
⇒ x = 8
Substitute found value of x into the expressions for each angle to find the measures of the angles:
⇒ m∠M = 7(8) - 4 = 52°
⇒ m∠K = 5(8) + 12 = 52°
As the angles on the same side of the transversal in a parallelogram sum to 180°, then
⇒ m∠J + m∠M = 180°
⇒ m∠J = 180° - m∠M
⇒ m∠J = 180° - 52°
⇒ m∠J = 128°
As m∠L = m∠J then m∠L = 128°
OMG IM SO SORRY BUT I SERIOUSLY NEED HELP
Answers
Answer:
C
Step-by-step explanation:
The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).
I wasn't entirely sure how to explain this but I really hope this helps!
Answer:
A and C
those are the two ways to find surface area on that shape without overlap
How many triangles can be constructed with side lengths of 1. 8 cm, 3. 4 cm, and 5. 6 cm?
0
1
more than one
please explain your answer
Answers
Answer:
0.
Step-by-step explanation:
1.8 + 3.4 = 5.2.
The sum of two sides is less than the length of the third side (5.6 cm) so the answer is 0 triangles,
can you help me with this
Answers
Answer:
the anwer is b
I did the math
If the record time was 29 in 2015 and now the record time is 25 in 2019 what is the rate of change
Answers
What is a formula for the nth term of the given sequence?
16,8, 4...
Answers
Answer:
Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide
Step-by-step explanation:
A garden table and a bench cost $767 combined. The garden table costs $53 less than the bench. What is the cost of the bench?
Answers
Answer:
55833 that may answer
Step-by-step explanation:
thanktou
Eman skateboarded 24 miles in 2 hours on Monday and 6 miles in half an hour on Wednesday . Hiro has been tracking his speed while riding his bike also. He noticed that he can bike 15 miles per hour. What is Eman's unit rate?
Answers
Eman's unit rate given the miles he skateboarded and the hours is 12 miles per hour.
What is his unit rate?The unit rate is the same as average speed. Average speed is the total distance travelled per time. The unit rate can be determined by dividing the distance by the time.
Average speed = total distance / total time
24/2 = 12 miles per hour
To learn more about average speed, please check: https://brainly.com/question/21734785
A cube has a lateral area of 676 square feet. what is the side length of the cube? 4.3 feet 6.5 feet 10.6 feet 13 feet
Answers
The side length of the cube is 13 feet.
We have given that
Lateral area of a cube = 676 square feet
We have to determine the side length of the cube
So here we use the formula of the lateral surface area of the cube.
What is the formula for Lateral surface area?[tex]L=4side^2[/tex]
L=676,and side =a
[tex]676=4a^2[/tex]
divide both side by 4
[tex]\frac{676}{4}=a^2[/tex]
[tex]169=a^2[/tex]
Taking square root on both side of equation we will get
[tex]13=a[/tex]
Therefore, Side length of the cube is 13 feet.
To learn more about the lateral area visit:
https://brainly.com/question/1297098
Answer:
13
Step-by-step explanation:
1,200 and 11 and you will get 13,200
Answers
Answer:
That is true!
[tex]1,200 * 11 = 13,200[/tex]
Let me know if you need more help with multiplication. I may be able to help.
Have a great day.
What is the perimeter of the shape below?
Answers
None of these choices are correct
The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.
Please help me graph the points with this please and thank you
Answers
Answer:
Hope this helps <3
Step-by-step explanation:
(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)
1 m cube is equal to how many centimetre cube?
Answers
Answer:
1,000,000 cm³
Step-by-step explanation:
A cube has 3 dimensions of equal measure: length, width and height
To determine the volume of a cube, we multiply the dimensions:
⇒ volume of a cube = length × width × height
1 metre = 100 centimetres
Therefore, for a cube with a length, width and height of 100 cm:
⇒ volume = 100 cm × 100 cm × 100 cm
= 1,000,000 cm³
Shawna won 40 super bouncy balls playing
horseshoes at the county fair. At school she
gave three to every student in her math
class. She only has 1 remaining. How
many students are in her class?
Answers
Answer:
13 not including Shawna
Step-by-step explanation:
First, you have to take into account that the remainder is 1, so you must subtract 1 from 40, giving you 39. 39/3 is 13, so 13 is your final answer.
Answer:
13
Step-by-step explanation:
13 x 3=39. There is one remaing, +1 = 40.
Reflect (-5,-3) over the -axis.
Then translate the result down 2 units.
What are the coordinates of the final point?
Answers
Answer:
(-5,-1)
Step-by-step explanation:
I need help finding the area of a triangle!
Here is a picture i have to find the area of triangle ABC
Answers
Answer: B
Step-by-step explanation:
What is the reciprocal of look at the attachment
Answers
Answer:
5/2
Step-by-step explanation:
to find the reciprocal you just flip the fraction.
Answer:
the answer is 5/2 because reciprocal means to flip the equation
Step-by-step explanation:
Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $ .
Answers
The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
How to find the area of the composite figures?To find area of the composite figures,
Separate the figure.Calculate the are of the each figure by which the composite figure is made of.Add the area of all the individual figures to get the total area of composite figures.The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,
[tex]A_r=3\times4\\A_r=12\rm \;ft^2[/tex]
The radius of the semicircle is 1.5 m. The area of the semicircle is,
[tex]A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2[/tex]
The area of the composite figure is,
[tex]A=12+3.5325\\A=15.5325\rm\;ft^2\\[/tex]
The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,
[tex]A=15.5325\times2\\A=31.065[/tex]
Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.
Learn more about the area of composite figures here;
https://brainly.com/question/15981553
Answer:31
Step-by-step explanation: