Need this answered as soon as possible please!! Flo is designing a rectangular billboard using a scale drawing. the billboard is 6 m long. Flo draws a rectangle 12 cm long. The area of Flo's rectangle is 72 cm squared. What is the area of the billboard in square meters?
In a right triangle, the length of one leg is 6 units. The length of the other leg is 8 units. What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
Using the Pythagorean Theorem, we can find the length of the hypotenuse.
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
√100 = c
10 = c
Answer: 10 units
Step-by-step explanation:
To find the hypotenuse of a triangle, use the Pythagorean Theorem (A² + B² = C²).
In this equation, A is 6, B is 8, and C is x, or the hypotenuse.
1. 6² + 8² = x²
2. 36 + 64 = x²
3. 100 = x²
4. √100 = √x²
(Taking the square root of both sides, cancelling out x²)
5. 10 = x
what is 3 1/2 plzzz help me
Answer:
7/2 or 3.5 whichever you need
Step-by-step explanation:
_____=amount received after redemption -amount invested
Answer:
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How did the reporter state probability for rain last week compared to the actual results
Answer:
The probability of rain was less than the actual results
Explanation:
Given that it rained on Monday, Tuesday, Thursday, and Friday, the actual probability of rain is 4 out of 7 days.
If the reporter stated that the probability of rain was 3 out of days, we can see that the probability of rain the reporter stated was less than the actual result of 4 out of 7 days
6. Determine the system of equations based on the following relationships and then solve
for the two integers.
a. Fourteen more than twice the first integer gives the second integer
b. The second integer increased by one is the square of the first integer
Answer: (-3,8) and (5,24)
The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.
According to the given information:
a. Fourteen more than twice the first integer gives the second integer:
This can be expressed as: 2x + 14 = y
b. The second integer increased by one is the square of the first integer:
This can be expressed as: y + 1 = x^2
Now, we have a system of equations:
1) 2x + 14 = y
2) y + 1 = x^2
To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):
2x + 14 + 1 = x^2
2x + 15 = x^2
Rearranging the equation, we have:
\(x^2 - 2x - 15 = 0\)
Factoring the quadratic equation, we get:
(x - 5)(x + 3) = 0
Setting each factor equal to zero:
x - 5 = 0 --> x = 5
x + 3 = 0 --> x = -3
Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':
For x = 5:
2(5) + 14 = y
10 + 14 = y
y = 24
For x = -3:
2(-3) + 14 = y
-6 + 14 = y
y = 8
Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).
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What is the domain of f(x)=(1/4)^x?
A. y > 0
B. x < 0
C. x > 0
D. All real numbers
\( \huge \bf༆ Answer ༄\)
The domain of given function is All real numbers
\( \sf \: f(x) = { \bigg( \dfrac{1}{4} \bigg) }^{x} \)
For each value of x the function is defined.
Example -
For x = 1The value is \( \sf\frac{1}{4}\)
For x = -1The value is 4
\(꧁ \: \large \frak{Eternal \: Being } \: ꧂\)
according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Write the coordinate of the vertices after a translation 8 units left and 13 units down. S(0,10). T(8,10) U(1,5)
Answer:
S(-8,-3), T(0, -3), and U(-7, -8)
Step-by-step explanation:
for all of the coordinates, you would subtract 8 from their X-values, and subtract 13 from their Y-values.
Simplify (3x-9) / (x^2-x-6)
Please Help I forgot how to do this
Answer:
Here is your answer
Suffered:
I drawn it
-4.6p-6.3p+3.9=-9.18
Answer:
−4.6p−6.3p+3.9=−9.18
−4.6p+−6.3p+3.9=−9.18
(−4.6p+−6.3p)+(3.9)=−9.18(Combine Like Terms)
−10.9p+3.9=−9.18
−10.9p+3.9=−9.18
Step 2: Subtract 3.9 from both sides.
−10.9p+3.9−3.9=−9.18−3.9
−10.9p=−13.08
Step 3: Divide both sides by -10.9.
−10.9p
−10.9
=
−13.08
−10.9
p=1.2
Answer:
\( \boxed{p = 1.2} \)
Step-by-step explanation:
\(Solve \: for \: p: \\ = > -4.6p - 6.3p+3.9=-9.18 \\ \\ -4.6p-6.3p=-10.9p: \\ = > - 10.9p +3.9=-9.18 \\ \\ Subtract 3.9 \: from \: both \: sides: \\ = >
(3.9-3.9)-10.9p=-3.9-9.18 \\ \\3.9-3.9=0: \\ = > - 10.9p =-3.9-9.18 \\ \\ -3.9-9.18 = -13.08: \\ = > - 10.9p = - 13.08 \\ \\ Divide \: both \: sides \: of \: - 10.9 p = - 13.08 \: by \: - 10.9: \\ = > \frac{ \cancel{ - 10.9}p}{ \cancel{- 10.9}} = \frac{ - 13.08}{ - 10.9} \\ \\ \frac{ - 10.9}{ - 10.9} = 1: \\ = > p = \frac{ \cancel{- }13.08}{ \cancel{- }10.9} \\ \\ \frac{13.08}{10.9} = 1.2: \\ = > p = 1.2\)
The equation that represents ⨀A is (x+1)2+(y−1)2=16. Determine whether point B(3,1) is on the circle.
Answer:
Step-by-step explanation:
center=(-1,1)
radius=√16=4
distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius
Hence point lies on the circle.
Find the surface area of the box shown
Please help me with this question, I need it to pass the class!!
Answer:
cos(20°)
Step-by-step explanation:
The "cofunction" is the function having the same value for the complement of the angle that this function has for the angle.
The cofunction of sine is cosine. The complement of 70° is 90° -70° = 20°.
sin(70°) = cos(20°)
Find the sum of the arithmetic progression 1,4,7,10,13,16 .Every third term of the above progression is removed i.e 7,16. Find the sum of the remaining terms
Answer:
The sum of the arithmetic progression is 51
The sum of the remaining terms is 28
Step-by-step explanation:
Sum of terms of an arithmetic progression
Being a1 the first term of an arithmetic progression, an its last term, and n the number of terms, the sum of all terms is calculated as:
\(\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n\)
We are given the progression:
1,4,7,10,13,16
We need to check if the list of numbers is a progression. The difference between consecutive terms must be equivalent.
Since:
4 - 1 = 3
7 - 4 = 3
10 - 7 = 3
And the rest of the differences also result in 3, the series of numbers has a common difference of 3.
The progression has the following parameters:
a1=1, an=16, n=6
Let's find the sum:
\(\displaystyle S_6=\frac{1+16}{2}\cdot 6\)
\(\displaystyle S_6=\frac{17}{2}\cdot 6\)
\(S_6=51\)
The sum of the arithmetic progression is 51
If we removed the terms 7 and 16, the new sum is:
51 - 7 - 16 = 28
The sum of the remaining terms is 28
m
5
6
བ
8
The table describes some of the solutions of the
inequality 3m > 21. Which graph best describes
the solutions of 3m > 21?
9
3m
15
.
18
21
24
27
Solution?
No
No
Yes
Yes
Yes
0
1
2
3
4
5
6
7
8
9
10
I +
0
1
2
3
4
5
6
7
8
9
10
+++++
0
1
2
3
4
5
6
7
8
910
OTT
7 8 9 10
O
1
2
3
4
5
6
Answer: 2nd from the botttom
Step-by-step explanation:
Solving the inequality, we get \(m \geq 7\), which matches with the third graph.
anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
The line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8).
The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8) is 2y - 5x = 0.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's suppose the equation of that line as the slope-intercept form is
y = mx + c
Where m is the slope while c is the y-intercept.
Now this line is parallel to a line that passes through points (8, 3) and
(10, 8) thus meaning the slope of both lines must be the same.
So,
Slope associated with points (8, 3) and (10, 8) ⇒
m = difference in y's coordinate / difference in x's coordinate
m = (8 - 3)/(10 - 3)
m = 5/7
So our equation will be y = (5/7)x + c
Since it is passing through the origin or (0,0) so it will satisfy the coordinate.
Therefore,
0 = (5/7)0 + c ⇒ c = 0
It means y = (5/7)x ⇒ 7y - 5x = 0 will be the equation.
Hence "The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8) is 2y - 5x = 0".
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The given question is an incomplete complete question as follows;
The equation of a line passing through the origin and parallel to the line passing through the points (8, 3) and (10, 8).
the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?
The lengths of the other two sides of the right triangle are 24m and 25m, respectively.
Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, we have the equation:
\(7^2 + x^2 = (x + 1)^2\)
Expanding and simplifying this equation, we get:
\(49 + x^2 = x^2 + 2x + 1\)
Now, we can cancel out \(x^2\) from both sides of the equation:
49 = 2x + 1
Next, we can isolate 2x:
2x = 49 - 1
2x = 48
Dividing both sides by 2, we find:
x = 24
Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.
Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.
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Alan got 72 questions correct on the last math exam. He got 85 questions correct this time. By what percent did the number of questions correct increase? (Round to the nearest whole percent)
A. 84%
B. 16%
C. 118%
D. 18%
Answer:
D.
Step-by-step explanation:
the difference between 85 and 72 is 13. 13 is 18% of 72.
Abby had $175 to spend on the school clothes. After her shopping trip, she had $37.59 left in her purse. Write an equation and solve to determine how much she spent on clothing.
Answer:
she spent $137.41
Step-by-step explanation:
175 - 37.59 = $137.41
4 ft
He wants to cover the entire model, including the base, with
gray paper.
How many square feet of paper will he need to cover the
model?
The square feet of paper that will cover the model is 56 ft squared.
How to find the surface area of a pyramid?The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.
Therefore,
surface area of the square base pyramid = A + 1 / 2 ps
where
A = surface area of the pyramidp = perimeter of the bases = height of the pyramidTherefore,
p = 4 × 4 = 16 ft
s = 5 ft
A = 4² = 16 ft²
Therefore,
surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5
surface area of the square base pyramid = 16 + 40
surface area of the square base pyramid = 56 ft²
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Write a numerical expression to represent the phrase "the sum of 25 and the cube of 9." Do not evaluate the expression.
Answer:
25 + 9^3
Step-by-step explanation:
Brainlyist!!!! In which expression should the exponents be multiplied?
Answer:
If i'm not mistaken it's the last one, D. \(4^5 * 4^2 = 4^7\)
Your help is very much appreciated and I will mark you brainliest:)
9514 1404 393
Answer:
(c) Yes, SSS
Step-by-step explanation:
The three pairs of corresponding sides have the same ratio:
12/8 = 15/10 = 21/14 = 3/2
The triangles are similar by SSS.
_____
No angles are shown, so SAS and AAA cannot apply.
Someone help me please
Answer:
It's the third answer.
Step-by-step explanation:
Maths
if x=-y+3 and 3x-2y=-1 what is the value of x and y
Answer: x=1, y=2
Step-by-step explanation:
3(1) - 2(2)=-1
Please help if you dont want to then please dont pick i really need helpPlease See attached picture
We can divide the given image into two parts, as follows:
Then, its area will be the sum of the areas of the rectangle and the square.
The area of the rectangle is:
\(9ft\cdot4ft=9\cdot4ft^{2}=36ft^{2}\)And the area of the square is:
\(4ft\cdot4ft=4\cdot4ft^{2}=16ft^{2}\)Now, we need to sum those two areas. We obtain:
\(36ft^{2}+16ft^{2}=(36+16)ft^{2}=52ft^{2}\)Therefore, the answer is:
52 ft²