Answer: 3360 ft squared
Step-by-step explanation:
Short side : 30 x 14 = 420
Long side 30 x 3 x 14 = 1260
420 + 420 + 1260 + 1260 = 3360
pls give brainliest
have a nice day
(x + 8/3)^2 + y^2 = 1 What is the center of the circle? what is the radius?
(x+8/3)²+y²=1
(x+8/3)²+y²+0²+2×0y=1
(x+8/3)²+(y+0)²=(V1)²
->center: C(8/3,0)
-> radius: V1
Triangle DEF, with vertices D(9,-8), E(8,-3), and F(2,-5), is drawn inside a rectangle,
as shown below.
What is the area, in square units, of triangle DEF?
[
Answer: A=?
units²
The area of the triangle DEF is 2 square units
How to determine the area?The given parameters are:
D(9,-8), E(8,-3), and F(2,-5),
The area of the triangle is calculated using:
Area = 0.5|x1 * (y2 -y3) + x2 * (y1 -y3) + x3 * (y2 -y1) |
This gives
Area = 0.5|9 * (-3 + 5) + 8 * (-8 + 5) + 2 * (-3 + 8) |
Evaluate
Area = 0.5|4|
Expand
Area = 2
Hence, the area of the triangle DEF is 2 square units
Read more about areas at:
https://brainly.com/question/24487155
#SPJ1
Student attendance at football games
sampling method
results of survey
collin surveys 63 students by randomly choosing names from the school
69% attend football games.
directory.
karl surveys 30 students that were sitting near him during lunch. 87% attend football games.
collin's method is (select) v than karl's method. karl's method picks students who
(select)
Collin's sampling method will better represent the entire population.
Missing part of the questionDetermine which sampling method will better represent the entire population.
How to determine the better method?From the question, we understand the Collin selected random names from the school directory.
While Karl surveyed only the students sitting close to him.
Karl's method is biased because students sitting far from him do not have a chance of being surveyed.
Hence, Collin's sampling method will better represent the entire population.
Read more about sampling method at:
https://brainly.com/question/16587013
#SPJ1
can someone please explain how to factor a polynomial. {will mark as brainliest}
To factorize a polynomial you need to find the zeros, and then you can write the polynomial as a product of bynomials.
How to factor a polynomial?
For a polynomial of the form:
[tex]p(x) = A_n*x^n + A_{n-1}*x^{n-1} + ... + A_1*x + A_0[/tex]
We define the zeros as the values of x such that:
p(x) = 0.
On the above case, the degree of the polynomial is n (the maximum exponent). Then the number of zeros of the polynomial is n (same as the degree).
Once we know the n zeros, we can factorize the polynomial as:
[tex]p(x) = A_n*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]
For example, for the polynomial:
[tex]p(x) = 2x^2 - 8[/tex]
The two zeros are x = 2 and x = -2, then it can be rewriten as:
[tex]p(x) = 2*(x + 2)*(x - 2)[/tex]
If you want to learn more about polynomials:
https://brainly.com/question/4142886
#SPJ1
jamie is shopping for sports equipment. he purchases equipment worth 202 bout pays only 168. What is the discount amount?
Answer:
Discount amount = 34
Step-by-step explanation:
Discount amount = 202 - 168 = 34
what are the least common denominators for 4 and 6
There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).
Answer:
Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you 1. 2 M, 2R, 2 P are placed in shelf randomly P(similar a…
View the full answer
Transcribed image text: Your Turn Find the probability using permutation with repetition 1. There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the probability that the mystery books are next to each other, the romance books are next to each other, and the poetry books are next to each other? (For example, MMRRPP). 2. The school jazz band has 4 boys and 4 girls, and are randomly lined up for a yearbook photo. Find the probability of getting all of the boys grouped together.
Step-by-step explanation:
CORRECT ME IF IM WRONG
Find the value of x and y from the following figure.
Answer:
X=70
Step-by-step explanation:
aw we can for a triangle, where the 2 angles are complementary from the outer ones, so the 2 angles are 50, and 60
so the third one will be 70
What is the value of the expression 9+4n-1 when n = 3?
WILL GIVE BRAINLIEST, ANSWER FAST PLEASE
Answer:
[tex]2( \frac{2}{5} x + 2) = \frac{4}{5} x + 4[/tex]
Step-by-step explanation:
Use the distributive property.
Find Median of 10,12,14 and 16
Step-by-step explanation:
the median is the value, where half of the other values is smaller (or equal), and the other half bigger (or equal).
with an even number of data points that is not directly possible to find.
in this case the 2 middle values are taken and their mean value is the median.
in our case, the 2 middle values are 12 and 14.
their mean value is
(12+14)/2 = 26/2 = 13
so,
13 is the median (even though if is not a data point itself).
Anna makes a pot of the soup. She is using a ¼ cup measuring cup. How many times will Anna need to fill the measuring cup to measure ⅞ cup of turnips? Show your work.
Answer:
2/7 ?
Step-by-step explanation:
Because 1/4 divided by 7/8th is 1/4. Hope this works
What is the median of the following data set?
{6, 3, 9, 1, 7}
A. 3
B. 6
C. 8
D. 9
Considering the probability you found in part D, which option makes more sense for Jake to choose? Explain your reasoning.
The probability that can be chosen by Jake will be 33.5%.
How to calculate the probability?The area of the whole dartboard will be:
= πr²
where r will be:
= 3 + (4 × 4)
= 3 + 16
= 19
Area = π(19)² = 361π²
The area of 30, 40, and 50 points will be:
= π × [3 + (2 × 4)]²
= 121π²
The probability will be:
= (361π - 121π) × 100
= 33.5%
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Please help i dont know what to do :(
In AGHI, ZG=590 Zl=900, and h=67m.
What is the length off-to the nearest metre?t9i& t)
garcia is modeling the equation 5x
Which of the following is a solution made up by x + y=27 and y=2x?
Answer:
4. x = 9 and y = 18
Step-by-step explanation:
Hello there!
When given such a problem we have to methods to handle this:
substitution methodelimination method.On this problem, let's limit ourself to substitution method;
x + y = 27 ..................... eq.1
y = 2x ........................ eq.2
Eq.2 is already manipulated. Substitute it into eq.1
x + y = 27
=> x + 2x = 27
3x = 27
x = 9
Substitute x into eq.2
y = 2 (9)
= 18
In terms of x and y;
(x, y) => (9, 18)
I hope this helps you.
Have a nice time and nice studies.
Find the value of x for which l is parallel to m 105 (3x-18)
The value of x for which the lines m and l are parallel is 31 degrees
Parallel linesThe given diagram includes two parallel lines m and l, since the line are parallel hence the sum of the angles 105 and 3x - 18 are supplementary that is;
105 + 3x - 18 = 180
Simplify for the value of x
87 + 3x = 180
3x = 180 - 87
3x = 93
x = 93/3
x = 31
Hence the value of x for which the lines m and l are parallel is 31 degrees
Learn more on line geometry here: https://brainly.com/question/1655368
#SPJ1
(10/2)x7+5-4 whats the answer
Answer:
36
Step-by-step explanation:
Question:
[tex] \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solution:
Here, we need to use PEMDAS rule, where:
P = parenthesise = exponentsm = multiplicationD = divisiona = additions = subtractionThere's a rule as well, the sum given is need to solved from the left, whichever sign is there.
Solved:
[tex]\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solve for parentheses first:
[tex] = 5 \times 7 + 5 - 4[/tex]
Then multiplication of course:
[tex] = 35 + 5 - 4[/tex]
Then addition:
[tex] = 4 0 - 4[/tex]
[tex] =36[/tex]
Hence, the answer is 36.
Find the x-intercepts for the parabola defined
by this equation:
y = x² + 3x - 4
Write your answer as two ordered pairs
Answer:
(-4,1)
Step-by-step explanation:
Factoring, Guess and check.
If f(x) = x² + 2, which interval describes the range of this function?
(1) (-∞, ∞)
(2) [0, ∞)
(3) [2, ∞)
(4) (-∞ ,2]
Someone is thinking of two numbers that are natural, and one is bigger than the other one by 10, if you multiply those two numbers you get 375 what are those two numbers.
Answer:
So the two numbers are {15, 25}.
Step-by-step explanation:
Simultaneous Equations:
xy = 375
x = y + 10
Subsitute the Second One into the First:
(y + 10)y = 375
y^2 + 10y - 375 = 0
y = 15 [and not -25 (natural numbers are not negative)]
Solve for x by Substituing y in the Second Equation:
x = 15 + 10
x = 25
Solution:
So the two numbers are {15, 25}.
Answer:
15 and 25
Step-by-step explanation:
The given relations between the two numbers allow you to write a system of equations. Algebraic solution of the system involves the solution of a quadratic equation. The numbers are "natural numbers", so are both positive integers.
__
setupLet x and y represent the smaller and larger of the two numbers, respectively. The given relations are ...
y = x +10 . . . . . . the larger is 10 more than the smaller
xy = 375 . . . . . . their product is 375
solutionSubstituting for y in the second equation, we have ...
x(x +10) = 375
Adding (10/2)² will complete the square.
x² +10x +25 = 375 +25 . . . . add 25
(x +5)² = 400 . . . . . . . . . . . write as a square
x +5 = √400 = 20 . . . . . . positive square root
x = 20 -5 = 15
y = x +10 = 25
Those two numbers are 15 and 25.
__
The attachment shows a graphical solution of the equations.
_____
Additional comment
Your number sense tells you that both numbers end in 5. Their geometric mean is √375 ≈ 19.4, so the first numbers that deserve consideration are numbers ending in 5 that are either side of this value: 15 and 25.
You can also consider their arithmetic mean. If that is represented by z, then we have (z-5)(z+5)=375 ⇒ z²-25=375 ⇒ z²=400 ⇒ z=20, and the two numbers are 20±5.
Make this into an expression. the product of four and a number, divided by seven
Answer:
4x ÷ 7
Step-by-step explanation:
the product of 4 and a number (x)
would be 4x. Then you would divide by 7.
What is the sum of -26 and -37?
Answer:
-66
Step-by-step explanation:
add the numbers
-26 -37 = -66
[tex] - 26 - 37 = - 63[/tex]
Whenever the sign of the numbers is same , add them but don't forget the negative sign.
Please give brainliest
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
10
6
12
16
Answer:
see the attachment photo!
The different ways Johnny can improve his meal is 16
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Given;
Mother tells him he may only make two additions to his meal
First addition; 1C4
Second addition; 1C4
1C4=4
=4x4
=16
Therefore, by combinations and permutations their will be 16ways
Learn more about combinations and permutations here:
https://brainly.com/question/16107928
#SPJ2
Determine if the following polygons are similar.
Problem 1
Triangle ABE is similar to triangle DCE. This is because we have two pairs of congruent corresponding angles.
angle AEB = angle DEC (vertical angles)angle ABE = angle DCE (alternate interior angles)Refer to the angle angle (AA) similarity theorem for more info.
-------------------
For the other pair of triangles, we don't have enough info to determine if they are similar or not. We have info about one pair of sides, and a pair of angles, but that's about it.
We need to know if JL is proportional to MO, and in the same ratio as KL & NO are, if we wanted to use the side angle side (SAS) similarity theorem.
-------------------
Summary:Triangle ABE is similar to triangle DCE by the AA (angle angle) similarity theoremWe don't have enough info to know if triangles JKL and MNO are similar or not.============================================================
Problem 2
Divide the corresponding sides
LN/PO = 30/15 = 2LN/OQ= 26/13 = 2ML/QP = 26/13 = 2We see the three ratios are equal to the same value (2) and that proves the triangles LNM and POQ are similar by the SSS (side side side) similarity theorem.
-------------------
Like before, we'll divide the corresponding sides
1st Rectangle: horizontal/vertical = 10/4 = 2.52ndRectangle: horizontal/vertical = 3/8 = 0.375We don't have a match. Let's try rotating the second rectangle so that the side '8' is horizontal, and the side '3' is vertical
1st Rectangle: horizontal/vertical = 10/4 = 2.52nd Rectangle: horizontal/vertical = 8/3 = 2.67 approximatelyWe don't have a match here either. There are other approaches we could take, but basically the two rectangles are not similar.
-------------------
Summary:Triangles LNM and POQ are similar by the SSS (side side side) similarity theorem.The rectangles are not similar.Which of the following is NOT a rational number?
A
√121
B
√12.1
C
√1.21
D
√0.0121
Answer:
A rational number is a number that can be expressed as a fraction (the ratio of two integers).
Integer: A whole number that can be positive, negative, or zero.
To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:
[tex]\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}[/tex]
[tex]\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}[/tex]
[tex]\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}[/tex]
[tex]\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}[/tex]
Therefore, [tex]\sf \sqrt{12.1}[/tex] is not a rational number.
What is the distance in units between (15,-17) and (-20,-5)
Answer:
41.34
Step-by-step explanation:
We can use the Pythagorean theorem to solve for the distance. First we will create an imaginary triangle with the leg lengths being the x distance and y distance between the 2 points and the hypotenuse being the distance between the 2 points.
x distance =
[tex]15 - (-20) = 35[/tex]
y distance =
[tex] |-17-5| = | - 22| = 22[/tex]
We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle
xdistance²+ydistance²=distance²
35²+22²=distance²
1709=distance²
[tex] \sqrt{1709} = distance[/tex]
In decimal form the distance would be around 41.34.
That is the answer
- Kan Academy Advance
Coach palmer makes 9 quarts of iced tea. she fills 12 bottles with 2 cups of iced tea each to share with her team. how many quarts of iced tea are left?
The amount of iced tea left in quartz is 3 quartz
How to find amount of tea left in quartz?
The coach makes 9 quarts of iced tea.
she fills 12 bottles with 2 cups of iced tea each to share with her team.
1 quartz = 4 cups
Therefore, she shared the following amount of tea in cups:
amount shared = 12 × 2 = 24 cups
Then, let's convert to quartz,
4 cups = 1 quartz
24 cups = ?
amount shared in quartz = 24 / 4 = 6 quarts
Therefore,
the amount of ice tea left = 9 - 6 = 3 quartz
learn more on quarts here: https://brainly.com/question/22443564
#SPJ1
Please help me with this
Answer:
10 percent
Step-by-step explanation:
look closl
it's 10 percent ...................... 10%