Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle = [tex]A=\pi r^2[/tex]
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A
Answer:
49 - 9π
Step-by-step explanation:
Hope this helps
will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not
asap
Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.
Answer:
22+8x less then or equal to 60
Step-by-step explanation:
Debbie has at most $60 to spend
Then it will be <=60
Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.
And
Let x be the number of t-shirts
Then the cost of x t-shirts will be 8x
Putting this in to inequality will be:
The inequality to find the maximum number of t-shirts is:
Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?
Answer:
92.736
Step-by-step explanation:
A = L* W
A = 4.8 * 19.32
A = 92.736
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?
Answer:
88
Step-by-step explanation:
43 + 49= 92.
Then 180 - 92= 88
C= 88
Tengo que leerme un libro de 1267 páginas en 3 semanas. La primera semana he leído 189 páginas y la segunda el triple que en la primera, ¿cuántas páginas me quedan por leer en la tercera semana?
Answer:
Quedan 511 páginas por leer en la tercera semana.
Step-by-step explanation:
Si el libro tiene 1267 y debe leerse en 3 semanas, se ha leído 189 páginas en la primera semana y 567 páginas en la segunda semana, es decir, el triple del número de páginas leídas en la semana anterior, la cantidad de páginas por leer para la tercera se determina mediante la siguiente sustracción:
[tex]x = 1267 - 189 - 567[/tex]
[tex]x = 511[/tex]
Quedan 511 páginas por leer en la tercera semana.
help I don’t know the answer
A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?
Answer:
680 miles
Step-by-step explanation:
Multiply the mph by the total hours to get your answer
40 × 17 = 680
Have a great day! :)
Answer:
680 Miles
Step-by-step explanation: Miles per hour times Hours
40 times 17
If two triangles are congruent, then all three___and all three___are congruent.
Answer:
Angles and Sides (or sides and angles, doesn't matter).
Step-by-step explanation:
Congruent triangles all have the same angle measures and side lengths.
Please mark me as brainliest!!!!!!!
Four lines are shown in the graph below.
Which line has the slope with the greatest value?
A
line A
B
line B
C
line C
D
line D
Answer:
D
Step-by-step explanation:
A vertical line will have the steepest slope
If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54
Answer:it’s -36
Step-by-step explanation:
Find the surface area of the ball shown. Use 3.14 for pie.
Radius is 17cm
The ball has a surface area of about ? Cm^2
Answer:
[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]
Step-by-step explanation:
we are given a ball
remember that,a ball is a Sphere
thus,
[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]
given that, redious is 17 cm
substitute:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]
simplify square:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]
substitute the approximate value of π:
[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]
simplify multiplication:
[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]
hence, the surface area of the sphere is 3629.84 cm²
I would really like some help with this. If anyone is able to help me.
Answer:
are not
Step-by-step explanation:
it is clear I can explain in the comment section ... because I don not want you to lose time
A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Complete Question
A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Answer:
Step-by-step explanation:
Which shows how to determine the volume of the pyramid?
Answer:
d would be correct
Step-by-step explanation:
A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.
Find the range of this data set:225, 342, 288,552, 263.
Answer:
327
Step-by-step explanation:
552-225
What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44
Answer:
X=4, y=5
Step-by-step explanation:
5x + 4y =40 equation 1
6x + 4y =44 equation 2
-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y
-5x - 4y=-40 modif equation 1
6x + 4y= 44 equation 2
x=4. Add above 2 equations
solve for y:
5x + 4y =40
5(4)+4y=40
20+4y =40
4y=20
y=5
check solution ;
6x+4y=44
6(4) + 4(5)=44
24 + 20=44
44=44
PLEASE HELP!!!!!!!!!!!
Solve for the missing side. Round to the nearest tenth.
HELP MEEE PLS ):
Answer:
b² = 13.2
Step-by-step explanation:
5.8²+b²=14.4²
33.64+b²=207.36
-33.64 -33.65
b²= √173.71
b² = 13.1799089526
b² = 13.2
Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...
Answer:
a) 0.3.
b) 1.117287138 to 9 dec. places.
d)3.
Step-by-step explanation:
a and d: the powers 1/3 and 0.333... is the cube root.
c: 0.5 = the square root.
b is found using a calculator
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?
Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:
[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]
[tex]Midpoint=\left(2,-1\right)[/tex]
Therefore, the y-coordinate of the midpoint of line segment YZ is -1.
Find the area of this triangle
Answer:
6km² sounds like a reasonable answer
A rectangle has a perimeter of 6 feet.
Choose all the possible dimensions of the rectangle.
A. 1 foot by 2 feet
B. 1 foot by 5 feet
C. 2 feet by 1 foot
D. 2 feet by 4 foot
E. 3 feet by 3 feet
F. 4 feet by 2 feet
G. 5 feet by 1 foot
Option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.
What is a rectangle?"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".
For the above situation,
The length of the rectangle be 'l'
The breadth of the rectangle be 'b'
Perimeter of the rectangle, P = 2(l+b)
Option A : 1 foot by 2 feet
Here, l = 1 feet and b = 2 feet
⇒ [tex]P=2(l+b)[/tex]
⇒ [tex]P=2(1+2)\\[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.
Option B : 1 foot by 5 feet
Here, l = 1 and b = 5 feet
⇒ [tex]P=2(1+5)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.
Option C : 2 feet by 1 foot
Here, l = 2 and b = 1 feet
⇒ [tex]P=2(2+1)[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.
Option D : 2 feet by 4 foot
Here, l = 2 and b = 4 feet
⇒ [tex]P=2(2+4)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.
Option E : 3 feet by 3 feet
Here, l = 3 and b = 3 feet
⇒ [tex]P=2(3+3)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.
Option F : 4 feet by 2 feet
Here, l = 4 and b = 2 feet
⇒ [tex]P=2(4+2)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.
Option G : 5 feet by 1 foot
Here, l = 5 and b = 1 feet
⇒ [tex]P=2(5+1)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.
Hence we can conclude that option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.
Learn more about the rectangle here
https://brainly.com/question/4074407
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1 is subtracted from the division of a number and 9. The result is -2.
Answer:
The number is - 9.
Step-by-step explanation:
(y ÷ 9) - 1 = - 2
(y ÷ 9) - 1 + 1 = - 2 + 1
y ÷ 9 = - 1
y ÷ 9 × 9 = - 1 × 9
y = - 9
I know the answer can someone just help me explain it???
Step-by-step explanation:
It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.
(1,5): d = 5t^2
5 = 5(1)^2
5 = 5*1
5 = 5, so this point is correct.
(2, 20): = d = 5t^2
20 = 5(2)^2
20 = 5*4
20 = 20, so this point is correct.
We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.
Rewrite in simplest terms: 7(-9a + 2a + 8) – 3a
Answer:
-63a+14a+56-3a
= -52a+56
Here we need to use algebraic properties to simplify an expression, we will get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]
The mathematical property we need to use is the distributive property.
[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]
So we start with the expression:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]
First, we use the distributive property in the first term so we get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]
Now we use the distributive property in the other way, we take "a" as a common factor:
[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]
Here we got the simplified expression.
If you want to learn more, you can read:
https://brainly.com/question/403991
Please help asap first correct answer will get the brainly crown
25x-22.5=12x+22.5+2x
find the mean of the following numbers 14,17,28,49
Answer:
27
Step-by-step explanation:
14 + 17 + 28 + 49 = 108
108 / 4 = 27
What is the median of the stem and lear plot
Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers
Step-by-step explanation:
How do you write 4.7x10^1 in standard form?
Answer:
Hello I am here to help!!
Step-by-step explanation:
The answer is 47
It's written as 47! <3