Answer:
119.43cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
As we know that
= Area of the rectangle - Area of the circle
where,
Area of rectangle is
[tex]= length \times breadth[/tex]
[tex]= 11\times 12[/tex]
= 132 cm^2
And, the area of the circle is
[tex]= \pi\times r^2\\\\ = \frac{22}{7} \times 2^2\\\\ = \frac{88}{7} cm^2[/tex]
Now the area of the shaded region is
[tex]= 132 cm^2- \frac{88}{7}cm^2[/tex]
= 119.43cm^2
We simply deduct the area of the circle from the area of the rectangle so that the area of the shaded region.
Answer:
the answer
is 128.86 Step-by-step explanation:
The difference in the x-coordinates of two points is 3. and the difference in the y-coordinates of the two points is 6
What is the slope of the line that passes through the points?
2
3
6
9
Answer:
slope = difference in y / difference in x
slope = 6/3 = 2 <===
The UK has an area of 243,610km2 and a population of 6.41 x 107. Calculate the population density the United Kingdom. Answer to the nearest whole person and give your answer in standard form, such as a x 10b where you are required to enter the values of A and B
A =
B =
Answer: Population density the United Kingdom [tex]=2.63\times10^2[/tex]
A= 2.63
B= 2
Step-by-step explanation:
We know that, to calculate the population density, we will divide the population by the size of the area.
i.e. [tex]\text{Population density}=\dfrac{\text{Population size}}{\text{Area}}[/tex]
Given : Area of UK = 243,610 km²1
Population = [tex]6.41 \times 10^7[/tex]
Then, the population density the United Kingdom would be :
[tex]\text{Population density}=\dfrac{6.41 \times 10^7}{243,610}\\\\=\dfrac{64100000}{243610}=263.125487459\\\\\approx263=2.63\times10^2[/tex]
On comparing to [tex]A\times10^B[/tex], we get
A= 2.63
B= 2
What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Answer:
second option
Step-by-step explanation:
Given
[tex]x^{4}[/tex] + 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± [tex]\sqrt{-1}[/tex] = ± i ( noting that [tex]\sqrt{-1}[/tex] = i ), and
x² = - 5 ( take the square root of both sides )
x = ± [tex]\sqrt{-5}[/tex] = ± [tex]\sqrt{5(-1)}[/tex] = ± [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex] = ± i[tex]\sqrt{5}[/tex]
Solutions are x = ± i and x = ± i[tex]\sqrt{5}[/tex]
On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
Answer:
y = -2x + 9
Step-by-step explanation:
(1-3)/(-2--3) = -2/1 = -2 = m
y = mx + b
1 = -2(4) + b
9 = b
y = -2x + 9
(please help) List the three lowest numbers that have the following characteristics. Work must be shown. 60 is a multiple of the number 3 is a factor of the number 4 is not a factor of the number
Answer:
3, 6, and 15
Step-by-step explanation:
Notice that if 60 is a multiple, the numbers in question could have the same factors as 60.
So let's look at 60's prime factors:
60 = 2 * 2 * 3 * 5
we also know that 3 is a factor, so the factor 3 must be included in all three options, we also know that 4 is NOT a factor, so both factors 2 cannot be included (but only one of them could).
So, in order to build the lowest possible numbers that verify such conditions, we can use:
3
3 * 2 = 6
since 3 or 2 cannot be repeated, the next smaller would be:
3 * 5 = 15
Please Help Me i beg
Answer:
B is P(x)=(x-3)^2 +2
C is P(x)=(x-1)^2 -5
Step-by-step explanation:
i think i am right
PLEASE HELP ASAP!!!! what is 3/5x + 22 = 28? Explain!
A certain town has two kinds of youth basketball teams. One is a school team (S) and the other is a rec team (R). On any given Saturday in December, the probability that a school team will have a game is 0.8, and the probability that a rec team will have a game is 0.7. The probability that both have games us 0.65.
On any given Saturday in December, what is the probability that either a rec team or a school team has a game?
Answer Choices:
0.65
0.7
0.8
0.85
Answer:
D. 0.85
Step-by-step explanation:
Given
Probability of S = 0.8
Probability of R = 0.7
Probability of S and R = 0.65
Required
Probability of S or R
Using probability notations;
P(S) = 0.8
P(R) = 0.7
P(S n R) = 0.65
The question requires that we solve for P(S or R)
For overlapping events S and R; the following formula is applicable.
P(S or R) = P(S) + P(R) - P(S n R)
Substitute the values of P(S), P(R) and P(S n R)
P(S or R) = 0.8 + 0.7 - 0.65
P(S or R) = 0.85
Hence, the probability that either a rec team or a school team has a game is 0.85
2) A girl starts from a point A and walks 285m to B on a bearing of 078°. She then walks due south to a point C which is 307m from A. What is the bearing of A from C , and is the distance |BC| ?
Answer:
bearing of A from C is - 65.24°
the distance |BC| is 187.84 m
Step-by-step explanation:
given data
girl walks AB = 285 m (side c)
bearing angle B = 78°
girl walks AC = 307 m (side a)
solution
we use here the Cosine Law for getting side b that is
ac² = ab² + bc² - 2 × ab × cos(B) ...............1
307² = 285² + x² - 2 × 285 cos(78)
x = 187.84 m
and
now we get here angle θ , the bearing from A to C get by law of sines
sin (θ) = [tex]\frac{187.84}{307} \times sin(78)[/tex]
sin (θ) = 0.5985
θ = 36.76°
and as we get here angle BAC that is
angle BCA = 180 - ( 36.76° + 78° )
angle BCA = 65.24°
and here negative bearing of A from C so - 65.24°
The segments shown below could form a triangle.
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.
The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.
A palindrome is chosen at random from the list of all $6$-digit palindromes, with all entries equally likely to be chosen. (Recall that a palindrome is a positive integer that reads the same forward and backwards, such as $387783$. Note: Since these palindromes are being thought of as numbers, rather than simply strings of digits, it is to be understood that the leading digit, the digit in the hundred-thousands place, must be nonzero.) What is the expected value of the chosen number?
Answer:
Expected value 550,000
Step-by-step explanation:
Calculation of the expected value of the chosen number
We should know that each of the digit of the number may likely be thought of what we called a random variable, in which the first digits and the last digits comes uniformly from [1,2,3,4,5,6,7,8,9] while the last digit can't be 0 because of what we called the palindrome condition).
Therefore each of these two digits will have an expected value of 5 while the other four digits will come uniformly from this digits which are [0,1,2,3,4,5,6,7,8,9] in which each of the digits will have an expected value of 4.5.
Thus Expected value is additive, which means we have to also take place the value into account.
Now let find the EXPECTED VALUE
The expected value will be :
(100,000+1)⋅(5)+(10,000+1,000+100+10)⋅(4.5)
Expected value=550,000
Therefore the Expected value will be 550,000
WILL MARK BRAINLIEST PLEASE HELP ME! In a complete sentence, describe the angle relationship between ∠APD and ∠CPB. Then write and solve an equation based on the relationship you identified in order to find the measure of ∠APD.
Answer:
∠APD and ∠CPB are Vertical Angles
Equation: 6x - 10 = 4x + 8
Step-by-step explanation:
We use the Vertical Angles Theorem to solve for x:
Step 1: Set up equation
6x - 10 = 4x + 8
Step 2: Subtract 4x on both sides
2x - 10 = 8
Step 3: Add 10 to both sides
2x = 18
Step 4: Find x by dividing 2 on both sides
x = 9
Step 5: Plug in x for 9 to find degree measure
m∠CPB = 4(9) + 8
m∠CPB = 36 + 8
m∠CPB = 44°
m∠CPB = m∠APD (Vertical Angles)
m∠APD = 44°
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
∠APD and ∠CPB are vertically opposite angles
The equation is 6x-10=4x+8
[tex]6x-10=4x+8\\6x-4x=8+10\\2x=18\\x=9[/tex]
Plug x as 9 for the angle.
[tex]4(9)+8\\36+8\\44[/tex]
∠APD and ∠CPB = 44 degrees
Here are the 30 best lifetime baseball batting averages of all time, arranged in
order from lowest to highest:
0.329, 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.3616 denotes one occurrence of the batting
average
0.3219
0.33 011 3 3 3 4 4 4-6 7 8 8 8
0.34 100 1 1 2 2 2 4 4 5 6 9
0.35 168
0.3616
JEET
O A. 0.360
OB. 0.336
O C. 0.3606
O D. 0 366
Answer:
D. 0.366
Step-by-step explanation:
Hello!
A stemplot is a way of arranging a data set.
In the stem you'll find the integer and first two decimal digits of the batting average, because these values are repeated several times.
In the leafs you'll find the third decimal digit.
So for the first value of the stem "0.32" there is only one observation:
0.329 ⇒ 0.32 | 9
For the second value "0.33" correspond 14 observations: 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
For the third value "0.34" correspond 12 observations: 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
For the fifth value "0.35" and the sixth value "0.36" there is only one observation, so, as happened with the first one, these values of the stem will only have one "leaf"
0.358 ⇒ 0.35 | 8
0.366 ⇒ 0.36 | 6
So the whole stem plot for this 30 observations is:
Stem | Leafs
0.32 | 9
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
0.35 | 8
0.36 | 6
Considering this, the correct option is D
I hope this helps!
What is 2+2 I have no idea please help
Answer:
2+2=4
Step-by-step explanation:
2+2=4
good question like if you have two chocolates and your mom gives you two more than there will be 4 and they will be too delicious
i hope this will help you :)
have a great day
Answer:
2+2=4
Step-by-step explanation:
So you take the 2 numbers 2+2 and you use your finger counting to get to 4. It’s really hard mathematics but you’ll get there. Have a great day!
Which of the following are steps in practical problem solving? Solve the sentence for the variable. Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct.
Answer:
A, B and D
Step-by-step explanation:
Following are steps in practical problem solving:
=> Assign an identifying variable to the quantity to be found.
=> Write a sentence stating conditions placed on the quantity.
=> Solve the sentence for the variable.
Answer:
Assign an identifying variable to the quantity to be found.
.Write a sentence stating conditions placed on the quantity.
Solve the sentence for the variable.
Your friend is having trouble solving word problems. Create a word problem of your own and provide the answer along with a detailed explanation of how you solved your equation.
Step-by-step explanation:
Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the car travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
Solution :
Let “x km/hr” be the speed of 1st car
Let “y km/hr” be the speed of the 2nd car
Time = Distance/Speed
Speed of both cars while they are traveling in the same direction = (x – y)
Speed of both cars while they are traveling in the opposite direction = (x + y)
5 = 100/(x -y)
x – y = 100/5
x - y = 20
x - y - 20 = 0 ---(1)
1 = 100/(x + y)
x + y = 100
x + y - 100 = 0--b----(2)
x/(100 + 20) = y/(-20 + 100) = 1/(1 + 1)
x/120 = y/80 = 1/2
x/120 = 1/2 y/80 = 1/2
x = 120/2 y = 80/2
x = 60 y = 40
So, the speed of first car = 60 km/hr
Speed of second car = 40 km/hr
Find the measures of line segments AD and DC. Show your work.
Ab = 12in
Bc=5in
Answer:
DC = 1.92 inches
AD = 11.08 inches
Step-by-step explanation:
From the figure given above, angle ABC is a right angle triangle where
AB = 12 inches
BC = 5 inches
Use pythagorean theorem to find AC
AC^2 = AB^2 + BC^2
Substitutes all the parameters into the formula
AC^2 = 12^2 + 5^2
AC^2 = 144 + 25
AC = sqrt ( 169 )
AC = 13 in
Also,
BD^2 = AB^2 - AD^2
Let AD = 13 - x
Substitute all into the formula
BD^ = 12^2 - (13 - x)^2 ..... (1)
Moreso,
BD^2 = BC^2 - DC^2
Let DC = x
Substitute all into the formula
BD^2 = 5^2 - x^2 ...... (2)
Equate equation 1 and 2
12^2 - ( 13 - x )^2 = 5^2 - x^2
144 - (169 - 26x + x^2) = 25 - x^2
Open the bracket
144 - 169 + 26x - x^2 = 25 - x^2
-25 + 26x = 25
Collect the like terms
26x = 50
X = 50/26
X = 1.92 inches
Therefore, DC = 1.92 inches
And AD = 13 - 1.92 = 11.08 inches
Samuel wants to estimate what 5843 x .00243 is. What should his first step be?
What is the solution to the equation? n = 2 n = 4 n = 7 n = 14
Answer:
n = 2
Step-by-step explanation:
[tex]\sqrt{2n+28}-4\sqrt{n}=0\\\\\\\sqrt{2n+28} = 4\sqrt{n}\\\\[/tex]
Take square,
[tex](\sqrt{2n+28})^{2}=( 4\sqrt{n})^{2}\\\\ 2n + 28 = 16n\\\\28 = 16n -2n\\\\28 =14n\\\\14n=28\\\\n=\frac{28}{14}\\\\n=2[/tex]
Answer:
n=2
Step-by-step explanation:
got it right on edge
find x.
help please !!
Answer:
x = 95°
Step-by-step explanation:
[tex]x = ?\\Sum -of- interior -angles=?\\Shape = pentagon\\No -of - sides= 5\\Sum- of- interior- angles = (n-2)180\°\\=(5-2)\times180\°\\3\times180\°\\Sum-of-interior-angles=540\°\\104\°+117\°+100\°+124\°+x\°=540\°\\445\°+x\° = 540\°\\x\° = 540\°-445\°\\x = 95\°[/tex]
out of 8000 students of Chitwan district 10% take tuition in various subject before the SLC examination. Among them 40% take tuition in English only,20% in math only and 80 students in other subject. Compare the number of students who take tuition on both subject and the total number of students.
Answer:
Out of 8000 students, 10% take tuition in various subjects before the exam.
10% of 8000 is:
10/100 * 8000 = 800
Among the 800, 40% take tuition in English only and 20% take tuition in Math only.
80 students take tuition in other subjects, therefore, in percentage:
80/800 * 100 = 10%
Therefore, the percentage of students that take tuition in both Math and English is:
100% - (40% + 20% + 10%) = 100% - 70% = 30%
30% of the 800 students take tuition in both subjects. That is:
30/100 * 800 = 240 students
Therefore, among the 8000 students in the district, only 240 take tuition in both English and Math.
In percentage:
240/8000 * 100 = 3%
3% of students take tuition in both English and Math.
In Ratio:
3 : 100
3 out of 100 students take tuition in English and Math.
Can u guys PLEASE answer this question ASAP. if y= (a+2)x+7 is parallel to y=3x-4, find the value of a
Answer:
a = 1
Step-by-step explanation:
The factor in front of x must be the same in both equations.
So (a+2) in the first must be 3 (like it is in the second).
That is the case when a=1.
So the +7 and the -4 are not relevant!
8. Kamau and Mutisya started to walk from
the same point towards opposite
directions. After some time, each had
made 40 strides. If Kamau's and Mutisya's
strides were 75 cm and 77 cm respectively,
what was the distance between them after
the 40 strides?
Answer:
6080 cm OR 60.8m
Step-by-step explanation:
75 x 40 = 3000 cm
77 x 40 = 3080 cm
They are moving in perfectly opposite directions, which makes a straight line.
3000 + 3080 = 6080 cm = 60.8m
Add the sum of (−5.4) and 8.2 to the opposite of (−2 3/4 ).
Answer:2
Step-by-step explanation:
-5.4+8.2=14/5 and then opposite of -2 3/4 is 2.
PLEASE HELP IMA MARK BRAINLIST
Answer:
53
Step-by-step explanation:
Explicit Formula: an = a1 + d(n - 1)
Simply plug in your known variables:
an = 8 + 3(n - 1)
Then plug in 16 for n:
a(16) = 8 + 3(16 - 1)
a(16) = 8 + 3(15)
a(16) = 8 + 45
a(16) = 53
Answer:
53
Step-by-step explanation:
an = dn + (a - d)
an = 3n + 8 - 3
an = 3n + 5
Put n as 16 and solve.
3(16) + 5
48 + 5
= 53
If a function is defined by the equation y=5x−5, which equation defines the inverse of this function?
Answer:
[tex]\displaystyle y = \frac{1}{5}x+1[/tex]
Or:
[tex]x + 5 = 5y[/tex]
Step-by-step explanation:
We have the function:
[tex]y=5x-5[/tex]
And we want to find its inverse.
To find the inverse of a function, we:
Flip x and y. And solve for y.Hence:
[tex]x=5y-5[/tex]
Solve for y. Add:
[tex]\displaystyle x + 5 = 5y[/tex]
Divide:
[tex]\displaystyle y = \frac{x+5}{5}[/tex]
Simplify. Hence:
[tex]\displaystyle y = \frac{1}{5}x+1[/tex]
In conclusion, the inverse function is:
[tex]\displaystyle y = \frac{1}{5}x+1[/tex]
Predict the number of chocolate chips in nine pancakes
━━━━━━━☆☆━━━━━━━
▹ Answer
72 Chocolate Chips
▹ Step-by-Step Explanation
1 Pancake = 8 Chocolate Chips
You can set this up as:
[tex]\frac{1}{8} = \frac{9}{y} \\\\1 * 9 = 9\\8 * 9 = 72\\\\y = 72\\[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no two of her friends got the same number of coins. What is the largest number of friends to whom Mei Su could have given coins?
Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
Answer:
12
Step-by-step explanation:
my
A group of 4 friends are posing for a photograph. If 2 of the friends want to stand beside each other, how many ways can the picture be taken? 6,10,12,20
Answer:
6
Step-by-step explanation:
If 2 of the friends wants to stand beside each other, we can take these 2 friends like 1 option and calculated the number of ways, using the rule of multiplication as:
__ 3_____ * ____2_____ *____1____ = 6
1st place 2nd place 3rd place
Because we have 3 options (2 friends and the friends that are beside each other) for the first place of the picture, 2 options for the second and 1 option for the third.
Hi, if it's possible to answer this now, Thank you so much. If you don't know the answer, that's ok :D
Answer:
5x4^10
Step-by-step explanation:
Hope this helps have a nice day :)
Answer:
5. [tex]4^{9}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = 20 ÷ 5 = 80 ÷ 20 = 320 ÷ 80 = 4
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a . [tex]r^{n-1}[/tex]
Here a = 5 and r = 4 , thus
[tex]a_{10}[/tex] = 5. [tex]4^{9}[/tex]