Answer:
Step-by-step explanation:
Let's call the side lengths of the first quadrilateral a, b, c, and d, and the side lengths of the second quadrilateral A, B, C, and D. We are given that the perimeter of the second quadrilateral is 20 cm, and that the quadrilaterals are similar. This means that the ratio of the side lengths of the two quadrilaterals is the same for all four sides. Let's call this ratio r. Then we have:
A + B + C + D = 20 cm
and
A/a = B/b = C/c = D/d = r
We can find the value of r by taking the ratio of any two sides of the quadrilaterals. For example, we can take the ratio of A to a:
A/a = r
Substituting the expressions for A and a in terms of r, we get:
(ra)/a = r
Solving for r, we get:
r = a/a = 1
This means that the ratio of the side lengths of the two quadrilaterals is 1. Therefore, the side lengths of the second quadrilateral are equal to the side lengths of the first quadrilateral. Substituting the given values for the side lengths of the first quadrilateral, we get:
A = 6 cm
B = 5 cm
C = 8 cm
D = 11 cm
Therefore, the side lengths of the second quadrilateral are A = 6 cm, B = 5 cm, C = 8 cm, and D = 11 cm.
I will give brainliest to correct answer
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2.
Answer:
D
Step-by-step explanation:
If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as
p(x)/x+k = q(x) + r/x+k
where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes [tex]x^{1}[/tex] and no higher exponents), the remainder is a real number.
Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.
The question states that p(3) = −2, so it must be true that
−2 = p(3) = (3+k)q(3) + r
Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.
A. −2=p(3)=(3+(−5))q(3)+0
−2=(3−5)q(3)
−2=(−2)q(3)
This could be true, but only if q(3)=1
B. −2=p(3)=(3+(−2))q(3)+0
−2=(3−2)q(3)
−2=(−1)q(3)
This could be true, but only if q(3)=2
C. −2=p(3)=(3+2)q(3)+0
−2=(5)q(3)
This could be true, but only if q(3) = −2/5
D. −2=p(3)=(3+(−3))q(3)+(−2)
−2=(3−3)q(3)+(−2)
−2=(0)q(3)+(−2)
This will always be true no matter what q(3) is.
Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.
The final answer is D.
Which of these forms a perfect square: Select all expressions that are prefect squares. Group of answer choices (a+3)(3+a) (a+b)(b+a) (2x-1)(2x+1) (x+5)(x+5) (-9+c)(c-9) (y-10)(10-y) (4-3x)(3-4x)
Answer:
Step-by-step explanation:
x = 2
step-by-step explanation:
if sr parallel to ba then the sides bc and ac are in proportion, that is
\frac{sb}{cs} = \frac{ra}{cr} ← substitute values
\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )
27x = 6(4x + 1)
27x = 24x + 6 ( subtract 24x from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?
What must be true in order to find a sum for an infinite geometric series?
Answer:
t(n) = t n-1 + t n-2
Step-by-step explanation:
Hope this was what u want & helped u .
Seventh grade
On the last day of a Shakespeare class, an English teacher asked her stude
which play they liked most. Out of the 20 students, 6 liked Twelfth Night b
What is the probability that a randomly selected Shakespeare student likes
Twelfth Night best?
Write your answer as a fraction or whole number.
P(Twelfth Night) =
cuboit
Answer:
english yes
Step-by-step explanation:
A standard six-sided die was rolled a number of times, and the results were recorded in the table below. Use this information to answer the question. Type your answer into the box as a decimal, rounded to the nearest thousandth.
Side: 1 2 3 4 5 6
Frequency: 42 51 39 52 44 48
What is the probability that an even number was rolled?
Answer:
[tex]P(Even) = 0.547[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{Sides} & {1} & {2} & {3} & {4} & {5} & {6} \ \\ {Freq} & {42} & {51} & {39} & {52} & {44} & {48} \ \end{array}[/tex]
Required
P(Even)
The even sides are: 2, 4, 6
So:
[tex]P(Even) = P(2) + P(4) + P(6)[/tex]
This is then calculated as:
[tex]P(Even) = \frac{n(2)}{Total} + \frac{n(4)}{Total} + \frac{n(6)}{Total}[/tex]
Replace n(2), n(4), n(6) with their frequencies
[tex]P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}[/tex]
The total frequency is:
[tex]Total =42+51+39+52+44+48[/tex]
[tex]Total =276[/tex]
So:
[tex]P(Even) = \frac{51}{Total} + \frac{52}{Total} + \frac{48}{Total}[/tex]
[tex]P(Even) = \frac{51}{276} + \frac{52}{276} + \frac{48}{276}[/tex]
Take LCM
[tex]P(Even) = \frac{51+52+48}{276}[/tex]
[tex]P(Even) = \frac{151}{276}[/tex]
[tex]P(Even) = 0.547[/tex] --- approximated
Question: The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b. NEED HELP ASAP
Hello!
Here we are given a second-order polynomial, and the root form of the function.
[tex]y=a(x-c)(x-d)[/tex]
Where c and d are zeros of the function, which is where the graph intersects the x-axis.
[tex]y=a(x+4)(x-3)[/tex]
[tex]-6=a(2+4)(2-3)[/tex]
[tex]-6=-6a[/tex]
[tex]a=1[/tex]
Therefore, the equation of this polynomial would be [tex]y=(x+4)(x-3)[/tex], and the values of a and b would be the x-intercepts.
Hope this helps!
Calculate the area of each shape below. Figures are not drawn to scale.
Answer:
The area of the triangle is 168 meters
Step-by-step explanation:
Formula to find the area of a triangle:
Area = 1/2 Base x Height
So, first you need to identify the base and the height. The base is 16m + 8m, and the height is 14m. All you have to do is plug in the numbers:
Area = 1/2 (16 + 8) x 14
Then, you solve:
Area = 1/2 (16 + 8) x 14
Area = 1/2 24 x 14
Area = 1/2 336
Area = 168 meters
So, the area of the triangle is 168 meters
Laurie sold a house and made a commission of $14,050. She charges
her customers a commission fee of 2.5% on the selling price of the house.
How much was the selling price of the house Laurie sold?
The cost of the house is $562000
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here Laurie charges her customers a commission fee of 2.5% on the selling price of the house. Let the selling price of the house be x then according to the question we have
2.5% of x = 14,050
x= 14,050 × 100/2.5
= $562000
Hence, the cost of the house is $562000
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ2
DONT IGNORE!!! I NEED HELP: NO LINKSS
Answer:
39 ft²
Step-by-step explanation:
11 ft × 3 ft = 33 ft²
2 ft × 3 ft = 6 ft²
33 ft² + 6 ft² = 39 ft²
4 unit squares each have 4/5 of their area shaded what is the total of that area shaded
Answer:
16/20
Step-by-step explanation:
yeah
Answer:
20/7
Step-by-step explanation:
just do it dont do the top i tried and it failed PLEASE MY FUTURE SELF LOOK AT THIS
A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station. (Round your answer to the nearest whole number.) mi/h
Answer:
A plane flying horizontally at an altitude of 1 mi. and a speed of 500 mi ./hr. passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing ex when it is 2 mi. away
Help me for free Brainliest
Answer:
CHope It Help
Step-by-step explanation:
Brainliest please
Answer:
C
Step-by-step explanation:
Domain = x-values
Range = y-values
#8: Identify the coordinates for point D. Type your answer in the form (#,#), without spaces.
Answer:
(1,2)
Step-by-step explanation: The x = 1 and the y = 2
Tamira has 8 pounds of clay. How many 4-ounce
bowls can she make with the clay?
Answer:
32
Step-by-step explanation:
8 pounds = 128 ounces
128 ÷ 4 = 32
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.
Answer:
648cm³
Step-by-step explanation:
The container is a cuboid thus:
volume of water is:
v=l×w×h
=10×24×7
=1680cm³
volume of water+stone=10×24×(7+2.7)
=10×24×9.7
=2328cm³
Thus volume of stone equals
2328-1680.
=648cm³
How do you do this?
9514 1404 393
Answer:
see attached for 1 and 2
Step-by-step explanation:
It's almost like drawing any other graph. Here, you need to pay attention to the domain on which each piece is defined. You need to add dots where the function is discontinuous to show how the function is defined at the discontinuity.
__
1) The dividing line is at x=2.
To the left of that line, the graph is the constant function y=3.
To the right of that line, the graph is the quadratic function y = (x-3)².
The dots are placed where x=2 (at the boundary between the parts of the function). A solid dot is placed on the end of the horizontal line, since that is the function value at x=2. An open dot is placed on the end of the parabola, since the function is not defined at that point (2, 1).
The graph is shown in the first attachment.
__
2) Here, the dividing line between the pieces is at x=-4. Again, the function is constant to the left of that line. To the right of that line, it is a line with a slope of 2 and a y-intercept of 3. The treatment of dots at the ends of the curve is the same, since the function is defined at x=-4 as the left piece, not the right piece.
The graph is shown in the second attachment.
Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3
Step-by-step explanation:
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what does "find (g times f)(3)" mean
f(x)=3x-2
g(x)=x squared
Answer:
Multiply the functions then multiply the product by 3.
Step-by-step explanation:
(3x-2)(x^2)(3)
first lets do (3x-2)(3)
9x-6
then lets do (9x-6)(x^2)
9x^3-6x^2
What's a range? Please help me
Step-by-step explanation:
the area of variation between one place of one point to another place of another point of cup is called range.hope it is helpful to you
Which statement describes volume?
A) measures the space inside in cubic units
B) measures the space inside in square units
C) measures the outside surface in cubic units
D) measures the outside surface in square units
Answer:
A) measures the space inside in cubic units
Step-by-step explanation:
The table shows the number of points scored by a football team in each quarter of the game. Write and simplify an expression to represent how many points the team scored during the entire game.
Expression:
Simplified (combined) expression:
Answer:
Total score → (9p + m - 1)
Step-by-step explanation:
Points scored by the football team in quarter 1 = 3p
Score in quarter 2 = (5p + 2)
Points scored in quarter 3 = (p - 4)
Score of quarter 4 = (m + 1)
Total points scored in entire game = 3p + (5p + 2) + (p - 4) + (m + 1)
= (3p + 5p + p) + m + (2 - 4 + 1)
= 9p + m - 1
Expression representing the total score by the team in entire game will be,
(9p + m - 1)
An airplane is flying from New York to Los Angeles.
Answer:
yes in what can I help you
Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.
a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.
Answer:
Paired or Independent Samples
Quantities Samples
a. Paired Samples because the heights of the identical twins are dependent on each other.
b. Independent Samples; the height of men and women are independent of the other.
c. Independent Samples; rents in two different cities are not expected to be dependent on each other.
d. Paired Samples; rent in a certain town between this year and last year are dependent on each other.
Step-by-step explanation:
Paired Samples are used when there is a natural or matched coupling such that a data set is generated in which each data point in one dependent sample is uniquely paired to a data point in the second dependent sample. In this case, the two samples are dependent on each other.
Independent Samples are used when there is a random selection of samples because their observations are independent.
Which comparison statement describes the model below 6 6 6 6 24
please help solving x
Answer:
x = -7
Step-by-step explanation:
m<MLP + m<PLK = m<MLK (angle addition postulate)
(x + 31) + (x + 147) = 164 (substitution)
Solve for x
x + 31 + x + 147 = 164
Add like terms
2x + 178 = 164
2x = 164 - 178
2x = -14
x = -14/2
x = -7
solve (13 + 2) divided (9-4) using pemdas
Answer:
3
Step-by-step explanation:
(13+2)/(9-4) =
15/5 =
3
P arenthese
E xponents
D ivide
A dd
S ubtract
i need help i dont get it's almost the due date in 30 min
Answer:
2 cm
Step-by-step explanation:
That’s the answer so yeah
WHAT IS 245 PLUS 456? PLZZZZZZ HELLLPPPPPP
Answer:
701
Step-by-step explanation:
456
+245
------------
701
could have used a calculator
Answer:
701 is the answer
thanks for the point
Step-by-step explanation:
245
+456
____
701
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?
Use the value 3.14 for π and round your answer to the nearest whole number.
Answer:
The volume of the cylinder is 120.10 square feet.
Step-by-step explanation:
Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume if the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of the same:
3.14 x 1.5 ^ 2 x 17 = X
3.14 x 2.25 x 17 = X
7.065 x 17 = X
120.105 = X
Thus, the volume of the cylinder is 120.10 square feet.