Answer:
278.64cm²
Step-by-step explanation:
Area of the sheet left out = Area of the square - Area of the 9 circles
Area of the square = L^2
L is the side length of the square
A = 36^2
Area of the square = 1296cm^2
Diameter of a circle = 38/3 = 12cm
Area of a circle = πr²
r is the radius = 12/2 = 6cm
Area of a circle = 3.14(6)²
Area of a circle = 3.14 * 36
Area of a circle = 113.04cm²
Area of 9 circles = 9 * 113.04
Area of 9 circles = 1,017.36cm²
Area of the left over = 1296 - 1,017.36
Area of the left over = 278.64cm²
Write "five more than a number" as a math expression help please
Answer:
It is 5 or x>5
Step-by-step explanation:
Hey can you help me I'll mark brainlist (if correct)
Answer: D
Step-by-step explanation:
7×6^2 −3x
7×36−3x
which is 252-3x
Answer:
C: 246
Step-by-step explanation:
7 (2 + 4)² - 3 (2) = 7 (6²) - 6 = 7 (36) - 6 = 252 - 6 = 246
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing vertex? ( , ) b. Find the area and perimeter of the rectangle. Area = square units Perimeter = units
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
[tex] B_{x} - A_{x} = 7 - 4 = 3 [/tex]
Hence, the distance of point D from point C in the x-direction is:
[tex] D_{x} = C_{x} + 3 = 4 + 3 = 7 [/tex]
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
[tex] C_{y} - A_{y} = 8 - 2 = 6 [/tex]
Then, the distance of point D from point B in the y-direction is:
[tex] D_{y} = B_{y} + 6 = 2 + 6 = 8 [/tex]
Therefore, the coordinates of the missing vertex (point D) are:
[tex] D = (D_{x}, D_{y}) = (7, 8) [/tex]
b) The area of the rectangle is:
[tex] a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2} [/tex]
The perimeter is given by:
[tex] p = 2*(3 + 6) = 18 units [/tex]
I hope it helps you!
Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
continuously. Daniel invested $13,000 in an account paying an interest rate of 8.5%
compounded daily. After 18 years, how much more money would Daniel have in his
account than Ellie, to the nearest dollar?
Answer:
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar
Step-by-step explanation:
find the height of the a parallelogram with an area of 63 square yards and base 9 yards
Answer:
7
Step-by-step explanation:
The formula for the area of a parallelogram is the same formula to get the area of a rectangle. In a rectangle, the height is the area divided by base. Therefore, the height of the parallelogram would simply be the area divided by base.
Question 1. What is the solution to the following system?
y = -6x
y = 48
1. infinite solutions
2. (-6, -8)
3. (-6, 48)
4. (-8, 48)
Question 2. What is the solution to the following system?
2x + 7y = 3
y= -1
1. (5/7, -1)
2. (-1, 5)
3. (5, -1)
4. (5, -5)
(will give brainliest)
Answer:
Q1 2. Q2 3.
Step-by-step explanation:
to solve a system of equations, you would usually have to use either elimination or substitution. however, in both of these problems, Y is given directly so that's unnecessary
for these, all you have to do is plug in y and then solve for x, where x is then the first number in the ordered pair and y is the second number.
Q1 48/-6 = -8, so the answer is (-6,-8)
Q2 10/2=5, so the answer is (5, -1)
if you need me to explain the algebra steps in full I will, just let me know
will give brainliest for correct answer ALGEBRA 2
Answer:
Vertical Translation Down 5
Step-by-step explanation:
-5 means its moving down
Hope this helps :)
The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with radius 3/2x^3y^–2 in terms of x and y?
Answer:
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{4}{3}\pi r^3[/tex]
Required
Find V when
[tex]r = \frac{3}{2}x^3y^{-2[/tex]
Substitute [tex]\frac{3}{2}x^3y^{-2[/tex] for r in [tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3[/tex]
Open bracket
[tex]V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}[/tex]
[tex]V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}[/tex]
Simplify the fractions
[tex]V = \pi * \frac{9}{2} * x^{9}y^{-6}[/tex]
Let
[tex]\pi = \frac{22}{7}[/tex]
So:
[tex]V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}[/tex]
[tex]V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} * x^{9}y^{-6}[/tex]
[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]
PLEASE HELP IM TERRIBLE AT PERCENTAGES!!!
Answer:
sory bro i saw this question but i dont know answer
Plz help fast will mark the brainiest!!!
Please Help Again lol
Answer:
1 and 3 I think
Step-by-step explanation:
greg spent $4 on $5 packs of sport cards. How much did greg spend on each pack?
greg spent $20 think
Step-by-step explanation:
i think you times
Answer:
20
Step-by-step explanation:
4x5
my old one got deleted by the way :/
Plz help fast will mark the brainiest!!!
Add the mixed number fractions. Simplify, if possible.
3 1/4 + 3 5/8 =
Answer:
6 7/8
Step-by-step explanation:
Okay so, I have a crush and she likes me back. What should I do?
Answer:
Ask her out and make her the happiest girl in the world.
Dan is driving from his hometown in California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y = 55h + 110
Dan leaves at 1:10 and is traveling at 55 miles per hour.
Dan is 110 miles from home at noon and is traveling at 55 miles per hour.
Dan is 55 miles from home at noon and is traveling at 110 miles per hour.
Dan leaves at noon and is traveling at 110 miles per hour.
Answer:
Dan is 110 miles from home at noon and is traveling at 55 miles per hour
Step-by-step explanation:
Mathematically, we have the general equation of a linear model as;
y = mx + b
m represents the slope of the model
b is the y-intercept of the model
Mathematically, what we have here is that there is a plot of distance against time
Distance is on the y-axis
time is on the x-axis
Now, the coefficient of the x-axis value is the slope
From what we have, the slope value is 55 miles per hour
Now, we have the y-intercept at 110
So, what this mean is that the distance from home is 110
So the correct answer here is that;
Dan is traveling at 55 miles per hour and he is 110 miles away from home
Help please it’s algebra 2
Answer:
Please refer to the attachment
Walid is four times as old as Sami . Five years ago,
Walid was 7 times old as Sami . How old is Walid and how old is Sami ?
Answer:
he is11 years old cause when he was 1 walked was 5
DESCRIBE what you would do to solve for the missing value in this problem. DO NOT SOLVE IT… just tell HOW you WOULD solve it.
?⋅35=2,380
Answer: divide by 35
Answer:
68
Step-by-step explanation:
Divide 2,380 by 35
It would by 68.
68 x 35 = 2,380
Someone help me with this question
the answer is 7 because thats what photo math told me
Answer:
7
Step-by-step explanation:
(8+56)÷4-3^2
PEMDAS:
(64)÷4-3^2
PEMDAS:
(64)÷4-9
PEMDAS:
(16)-9
7
hope this helps
Estimate 15.72 - 5.259 by rounding each number to the nearest tenth
Answer:
10.4
Step-by-step explanation:
15.72 rounds to 15.7 and 5.259 rounds to 5.3
Answer:
10.5
Step-by-step explanation:
15.72 - 5.259 =
10.461
10.461 = 10.5
plz help me my teacher is gonna come in 5 minutes and if she finds me on this imma get suspended
Answer:
42
Step-by-step explanation:
42 i think
maybe 5
.....................
What is the area of each shaded region? Use 3.14 for pie. PLS help this is due tonight
Answer:
Step-by-step explanation:
do this is 2 parts
total = square + 1/2 circle
area of a square is side * side or ... b/c the sides of a square are the same 2* side
area of a circle is Pi* r^2
total area = 12*12 + 1/2 * pi * 6^2
ta = 144 + 56.52
ta = 200.52
ta da.. :P total area is 200.52 [tex]ft^{2}[/tex]
A drawing of a sailboat was made using a rectangle and two right triangles, as shown.
6 cm, 2 cm, 3 cm, 2.5 cm, 12 cm
What is the area of the drawing of the sailboat in square centimeters?
Answer:
Can you add a picture?
Step-by-step explanation:
But for the area of the rectangle to Length x Width for the two triangles do ab/2 so multiply the two smallest sides and then divide by two then add all of your answers
Consider the three functions below.
11
f(x) =
6
11
g(x) =
6
11
111* n(X) =
6
11
11
2
Which statement is true?
Answer:
I think the answer is C
Step-by-step explanation:
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
Domain : All real numbers since this is an exponential function.
Range : (0,∞)
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
So Option C : )The ranges of f(x) and h(x) are different from the range of g(x).
(06.04 MC)
A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1.The ordered pairs 0, 13 and 1, 11.5 and 1.5, 10.9 and 2, 10 and 3, 9 and 4, 8.5 and 5, 7 and 6, 5 and 7, 4 and 8, 3 and 9, 1, 9.8, 0.3 are shown on the graph. A straight line joins the ordered pairs 0, 13 and 10, 0.
What is the approximate equation of this line of best fit in slope-intercept form?
y = −13x + 13 over 10
y = negative 13 over 10x + 13
y = negative 10 over 13x + 13
y = −13x + 10 over 13
Answer:
Y= -13/10x+13
Step-by-step explanation:
Answer:
Y= -13/10x+13
Step-by-step explanation:
Teresa has some photos on her computer on Monday. On Tuesday, she downloads 24 new photos. Then she delets 9 photos. She ends up with 33 photos. Explain how the equation p+424-9=33 represents the situaton. Then solve the equation for the variable p and interpret the solution.
Answer:
Teresa had 18 photos on her phone on monday
Step-by-step explanation:
Monday: 18
Tuesday: 42
42 - 9 = 33
-14.3 = -1.4 - 3d what is d
look at this equation 3(x+1)=3x=? which number can be placed in the box *the question mark* that would create an equation that has an infinite number of solutions
a.0
b.1
c.2
d.3
idiixixixjdjdodjdjdijxdjdjj
Answer: 41
Step-by-step explanation:
You need to subtract the 82 by the 41 so 82-41 then you would find the missing part. Or you could add 4 to the 4 to make 8 and then add the 1 to the 1 to get 2