Answer:
131 1/4 in.²
Step-by-step explanation:
To find the area of the figure, you would have to divide the figure into two parts. The figure can be divided into two rectangles.
Rectangle 1
The length is 11 3/4 in. The width is 6 in.
A = lw
A = (11 3/4 in.)(6 in.)
A = 70 1/2 in.²
Rectangle 2
The length is 9 in. The width is 6 3/4 in.
A = lw
A = (9 in.)(6 3/4 in.)
A = 60 3/4 in.²
Add the two areas together.
70 1/2 in.² + 60 3/4 in.² = 131 1/4 in.²
calculate the area of the shaded region in each figure. use 3.14 for π and round to the nearest 10th if nessary
Answer:
7.6 cm²
Step-by-step explanation:
Area of rectangle= l x w
3 x 4 = 12 cm
Area of circle= πr²
π x 2.5²= 19.625
Area of shaded= Area of circle - area of rec
19.625- 12= 7.625 cm²
≈7.6
I HOPE THIS HELPED
Consider the following data set with a mean of 12: 9, 11, 12, 16 Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root
Answer:
1.83
Step-by-step explanation:
The standard deviation of given data set rounded to the hundredth place is 2.55
Given data set is: 9, 11, 12, 16
The mean of the data set is 12.
The formula for standard deviation is written as:
[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]
here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,
[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]
Thus, standard deviation of given data set rounded to the hundredth place is 2.55
Learn more here:
https://brainly.com/question/12402189
Which greatest digit should replace m so that the number 10m6415 is divisible by 11
Answer:
Step-by-step explanation:
Sum of digits of rank even - sum of digits of rank odd must be a multiple of 11
(5+4+m+1)-(1+6+0)=11*k
10+m-7=11*k
3+m=11*k
m=8
Proof: 1086415/11=98765
Which of the following is the graph of f(x) = x2 + 3x − 4? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Answer:
x intercepts at -4 and 1,
with a minimum at (-1.5, -6.25)
Step-by-step explanation:
(x + 4)(x - 1) = 0
x = -4, 1
min = -b/2a = -3/2(1) = x = -1.5
y = (-1.5)² + 3(-1.5) - 4 = -6.25
Answer:
graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Step-by-step explanation:
The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.
__
The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...
x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c
This is the x-coordinate of the minimum.
help me match these??????? please and thank you!!!!
Answer:
[tex]\sqrt{12}=2\sqrt{3}[/tex]
[tex]\sqrt{18} = 3\sqrt{2}[/tex]
[tex]\sqrt{24}=2\sqrt{6}[/tex]
[tex]\sqrt{72}=6\sqrt{2}[/tex]
Step-by-step explanation:
Hi there!
[tex]\sqrt{12}[/tex]
To simplify a square root, check if the radicand has any perfect square factors. For example, 12 can be rewritten as 4*3:
[tex]=\sqrt{4*3}\\=\sqrt{4}*\sqrt{3}[/tex]
4 is a perfect square. Its square root is 2:
[tex]=2*\sqrt{3}\\=2\sqrt{3}[/tex]
[tex]\sqrt{18} \\= \sqrt{9*2} \\= 3\sqrt{2}[/tex]
[tex]\sqrt{24} \\=\sqrt{4*6}\\=2\sqrt{6}[/tex]
[tex]\sqrt{72} \\=\sqrt{36*2} \\=6\sqrt{2}[/tex]
I hope this helps!
Find the degree of the monomial.
s8t
The degree is
Answer:
Step-by-step explanation:
the degree of 8^8t
16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1875 . What was the price of each kind of ticket?
Answer:
same day = 25
advanced = 40
Step-by-step explanation:
Let a = advanced tickets
s = same day tickets
s+a = 65
25a+35s = 1875
Multiply the first equation by -25
-25s -25a = -1625
Add this to the second equation
25a+35s = 1875
-25a -25s= -1625
---------------------------
10s = 250
Divide each side by 10
10s/10 = 250/10
s =25
Now find a
s+a = 65
25+a = 65
a = 40
Answer: same day = 25
advanced = 40
In Exercise 4, find the surface area of the solid
formed by the net.
Answer:
3. 150.72 in²
4. 535.2cm²
Step-by-step Explanation:
3. The solid formed by the net given in problem 3 is the net of a cylinder.
The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.
The surface area = Area of the 2 circles + area of the rectangle
Take π as 3.14
radius of circle = ½ of 4 = 2 in
Area of the 2 circles = 2(πr²) = 2*3.14*2²
Area of the 2 circles = 25.12 in²
Area of the rectangle = L*W
width is given as 10 in.
Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in
Area of rectangle = L*W = 12.56*10 = 125.6 in²
Surface area of net = Area of the 2 circles + area of the rectangle
= 25.12 + 125.6 = 150.72 in²
4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)
= [tex] 2(0.5*b*h) + 3(l*w) [/tex]
Where,
b = 8 cm
h = [tex] \sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)
w = 8 cm
[tex]S.A = 2(0.5*8*6.9) + 3(20*8)[/tex]
[tex]S.A = 2(27.6) + 3(160)[/tex]
[tex]S.A = 55.2 + 480[/tex]
[tex]S.A = 535.2 cm^2[/tex]
Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x − 500,000 and g(x) = 0.2x where x equals your annual sales. Which function composition gives the bonus amount when your sales are over $500,000?
A) x(f(g))
B) x(g(f))
C) g(f(x))
D) f(g(x))
Answer:
C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]
Step-by-step explanation:
Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:
[tex]g\,\circ \, f (x) =g(f(x))[/tex]
Hence, the right answer is C.
factorise X^2 + 4xy - 4y^2- 9z^2
Answer:
Step 1: Equation at the end of step 1
(((x^{2} )-4xy)+(4(((x
2
)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y
2
)))−3
2
−z
2
Step 2: Equation at the end of step 2
(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x
2
)−4xy)+2
2
y
2
)−3
2
z
2
Step 3: Final Result
x^{2} -4xy+4y^{2} -9z^{2}x
2
−4xy+4y
2
−9z
2
What is a rule for the height
as an algebraic expression?
Answer: lenght x widthx height
Step-by-step explanation:
A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8
Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.
Step-by-step explanation:
Our total add is
= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815
When we spherical it up to nearest tens
7.95 = 8.00
8.11 = 8.00
78.5 = 79
8.05 = 8.00
79.4 = 79.0
0.815 = 1
when we estimate the rational numbers with an extra operation once done,our results is
= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.
for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.
Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.
Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong
simplify. 5+ 8y^2- 12y^2+ 3y
Answer:
The answer simplified would be:
-4y^2+3y+5
If you combine the like terms, you will get this answer.
You have to add 8y^2 to -12y^2 and you get -4y^2.
Hope this helps you! :)
find to consecutivephone number such that five times the smaller number plus 3 times the greater number make 59 hint let the number be x and x + 1
Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8 /8
--------------------------
x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
What is -3/4+2 3/4?
1.3 1/2
2.3 3/4
3.2/ 1/2
4. 2
Answer:
[tex]2[/tex]
4th Answer is Correct
Step-by-step explanation:
[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]
Choose the correct equivalent expression using the GCF. 9+12
3(4+3)
4(3+4)
3+(3+4)
3(3+4)
PLEASE HELP
⇛3(3+4)
⇛9 + 12
HELP ME PLEASE The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet
Answer:
Length = 3.2feets ; width = 6feets
Step-by-step explanation:
Given the following :
Actual dimension of Mural:
8feets by 15feets
Scale drawing ratio of Mural :
2feets : 5feets
This means :
2 Feets on paper equals 5 Feets of actual drawing:
Therefore, with actual dimension of Length = 8feets ;
Length of scale drawing = (2/5) * 8 = 3.2feets
Actual dimension of width 15feets ;
Width of scale drawing = (2/5) * 15 = 6 Feets
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.
Write and solve an equation to determine the measure of angle y.
Answer: The answer is B
Step-by-step explanation:
raise s to the 7th power, then find the sum of the result and 3
Answer:
s^7 + 3
Step-by-step explanation:
Brainliest, please!
A rectangular solid and a cube are of equal volume. If the rectangular solid is 20 centimeters long, 5 centimeters wide, and 10 centimeters high, what is the length, in centimeters, of an edge of the cube?
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
[tex]Volume = a^{3}[/tex] where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
[tex]Volume= (20)(5)(10)=1000[/tex] cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
[tex]1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a[/tex]
Thus the length of an edge of the cube is 10 centimeters
if x +2y=1 and x-y=2 find the value of 2y + x
Answer:
1
Step-by-step explanation:
x +2y=1
2y+x will equal 1
What is the radius of a sphere with a surface area of 100πcm2?
Answer:
5cm
Step-by-step explanation:
A=4πr2 = 100πcm2
r = 5
pls help me with this question and reply answer
Step-by-step explanation:
From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.
my age is 13 and i was born in 2006 and my brother was born in 2004 how old he.is
what is the fewest number of 7's that can be added together to make their sum greater than 4000
Answer:
572 7s are needed to be added together
Step-by-step explanation:
Basically, what we are asked here is the multiple of 7 which is closest to but above 4,000
Then, from this multiple , the number of 7s which are added together to give it is our answer.
By multiplication; 7 * 572 = 4,004
This is the closest multiple of 7 to 4000 which is also above it.
So the fewest number of 7s which we can add together is 572
How many triangles exist with the given side lengths? 2mm,6mm,10mm
Answer:
Zero
Step-by-step explanation:
2+6=8 which means it can't be. It has to be a length higher than 10
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
Simplify
1/4(1 - 2/3)* + 1/3
Enter your answer in the box as a fraction in simplest form
Answer:
5/12
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The question is "find the lowest common multiple of 4 and 6"
with step by step explaination
Answer:
12
Step-by-step explanation:
4s multiples:
4,8,12,16,20,24
6s multiples:
6,12,18,24,30,36
lowest number that is a common multiple between both 4 and 6:
12
Answer: 2
Step-by-step explanation:
Please help me!!!!!
What are the answers
Answer:
y=3x
Step-by-step explanation:
The equation of the line is y=3x