The width of Zorn's patio is labeled in the diagram below. If the perimeter of the patio is (30x + 26) feet, what is the length of the patio?
2x^2=450
Determine which statement is true about the solutions to the equation.
The solutions are -15 and 15 and both are reasonable side lengths.
The solutions are -30 and 30 and both are reasonable side lengths.
The solutions are -30 and 30 but only 30 is a reasonable side length.
The solutions are -15 and 15, but only 15 is a reasonable side length.
Answer:
the answer is (8x+9)
Step-by-step explanation:
HELP FAST - given that ig= x-4 , ik = 9x-19 and jk = 5x+12 find ij, jk and ik
Answer:
THIS IS WRONG I TOOK THE TEST... DONT KNOW THE ANSWER STILL.
Step-by-step explanation:
Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit.
The optimal level of production for Alonzo's Cycling is at the point where the profit reaches its peak before starting to decline with further increases in production. This is the level of production that Alonzo's Cycling should aim for to achieve the marginal profit.
To determine which levels of production provide Alonzo's Cycling with the maximum profit, one must consider both the fixed costs and the variable costs associated with production.
The profit for each level of production is calculated by subtracting the total costs (fixed costs plus variable costs) from the total revenue generated by sales. The level of production at which profit is maximized is where the difference between total revenue and total costs is the greatest.
This can be found by analyzing the marginal cost and marginal revenue of production. When marginal revenue equals marginal cost, and if the additional production leads to a decrease in profit, that is the point of maximum profit.
Beyond this point, producing more units would decrease the total profit due to the law of diminishing returns, where the cost of producing additional units exceeds the revenue they generate.
Therefore, the optimal level of production for Alonzo's Cycling is at the point where the profit reaches its peak before starting to decline with further increases in production. This is the level of production that Alonzo's Cycling should aim for to achieve the maximum profit.
13 Pts
PLEASE SOMEONE HELP ME WITH THIS QUESTION
PLZ EXPLAIN
THANK U
For what values of x is x2 + 2x = 24 true?
–6 and –4
–4 and 6
4 and –6
6 and 4
Answer:
C. is the correct answer i took the quiz
Step-by-step explanation:
Haruka hiked several kilometers in the morning. She only hiked 666 kilometers in the afternoon, which was 25\%25%25, percent less she had hiked in the morning.How many kilometers did Haruka hike in all?
Answer:
its 14 in all actually
Step-by-step explanation:
Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 5 m and diagonal QS = 6 m. Find the length of segment RP.
3 m
4 m
5 m
6 m
Answer:
Given: Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 5m and diagonal QS = 6m.
Since, diagonals of kite bisect each other, thus QP=6m
Now, in ΔPQR, we have
(QR)²= (RP)²+(QP)²
(5)²= (3)²+(RP) ²
25=9+(RP)²
25-9= (RP)²16= (RP)²
RP= 4m
Therefore, the length of segment RP is 4m.
Step-by-step explanation:
The musical frequency of notes is decreasing between beat numbers ___ and ___
In triangle QRS, QR is congruent to SR and RT bisects QS. What justification can you give for QRT congruent to SRT and give the Triangle Congruence Postulate that supports your reason.
Answers:
Midpoint Theorem, SSS
Given, SSS
Definition of a segment bisector; SSS
Definition of an isosceles triangle, SAS,
Which statement is true about the product of a non-zero rational number and an irrational number?
A) The product of a non-zero rational number and an irrational number is always a rational number.
B) The product of a non-zero rational number and an irrational number is never an irrational number.
C) The product of a non-zero rational number and an irrational number is sometimes a rational number.
D) The product of a non-zero rational number and an irrational number is always an irrational number.
The answer is defiantly D
What is the 4th term in the sequence of
c(n)=-7+6(n-1)
....Please help ME!!!
Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. find the lengths of the sides of the triangles of their perimeters are 23 cm and 43 cm.
Final answer:
To find the lengths of the sides of two isosceles triangles with equal bases and perimeters of 23 cm and 43 cm, we calculate based on the known relations. The smaller triangle has sides of 10 cm and 3 cm, while the larger triangle has sides of 20 cm and 3 cm.
Explanation:
The problem involves two isosceles triangles with the same base length, but the legs of one triangle are twice as long as the other. One triangle has a perimeter of 23 cm, and the other has a perimeter of 43 cm. To solve this, let's denote the common base of both triangles as b, the legs of the smaller triangle as l, and the legs of the larger triangle as 2l.
For the smaller triangle, the perimeter P is given by P = b + l + l or P = b + 2l. For the larger triangle, the perimeter P is P = b + 2l + 2l or P = b + 4l. Since the perimeters are 23 cm and 43 cm respectively, we can set up two equations: b + 2l = 23 and b + 4l = 43.
Solving these simultaneous equations, subtract the first from the second to find 2l = 20, so l = 10. Substituting l = 10 into the first equation gives us b + 20 = 23, thus b = 3.
Therefore, the sides of the smaller triangle are 10 cm (legs) and 3 cm (base), and the sides of the larger triangle are 20 cm (legs) and 3 cm (base).
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Solve the system algebraically. Check your work.
4x + 2y = 10
3x + 2y = 6
ANSWER: {(
a0)}
Answer:
x = 4 and y = -3.
Step-by-step explanation:
Given : 4x + 2y = 10 and 3x + 2y = 6.
To find : Solve the system algebraically. Check your work.
Solution : We have given that
4x + 2y = 10 ----(1)
3x + 2y = 6.------(2)
Subtracting equation 2 from 1
4x + 2y = 10
(-)3x + (-)2y =(-) 6.
_____________
x + 0 = 4
x =4
Plug x = 4 in equation 1
4 (4) + 2y = 10.
16 + 2y = 10.
2y = 10 -16.
2y = -6.
On dividing by 2 both sides
y = -3.
Check:
Plug the values x =4 , y =-3 in equation 1
4 (4) + 2 ( -3) = 10
16 -6 = 10
10 =10
Verify,
Therefore, x = 4 and y = -3.
What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3? x = –2 – and x = –2 + x = –2 – and x = –2 + x = 2 – and x = 2 + x = 2 – and x = 2 +
Shari plans to bake cherry pies and sell them for $9.50 each how much pies dose she have to sell to make $100 profit
what is 85% of 2500 meters
What is 1,400,000 multiplied by 3.5x10^5 expressed in scientific notation?
The answer is [tex]\( 4.9 \times 10^{11} \)[/tex].
To solve the given mathematical problem, we will multiply the two numbers and then express the result in scientific notation.
First, let's multiply 1,400,000 by 3.5x10^5 without converting them to scientific notation:
[tex]\[ 1,400,000 \times 3.5 \times 10^5 \][/tex]
[tex]\[ = 1400000 \times 3.5 \times 10^5 \][/tex]
[tex]\[ = 4900000 \times 10^5 \][/tex]
Now, we have the product 4900000. To express this in scientific notation, we must write it as a number between 1 and 10 multiplied by a power of 10. The number 4900000 can be written as 4.9 followed by 11 zeros, which in scientific notation is [tex]\( 4.9 \times 10^{11} \)[/tex].
Therefore, the final answer, expressed in scientific notation, is:
[tex]\[ \boxed{4.9 \times 10^{11}} \][/tex]
which pair of triangles is congruent by AAS?
Answer:
Triangles PQT and RQT are congruent (option D)
Step-by-step explanation:
The AAS or Angle- Angle- Side Theorem says that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.
So, triangles PQT and RQT are congruent.
Both triangles have angle Q as right angle and angle P and R are also equal. And both have side QT common.
So, these are congruent via AAS.
Parallelogram DEFG has been rotated. Which statements are correct? Check all that apply.
In geometry, rotation involves turning of an object about a center. The statements that are correct are:
point F [tex]\to[/tex] point F'point D of the preimage corresponds to point D' of the imageparallelogram DEFG maps to parallelogram D'E'F'GWhen rotation is applied to a shape, the orientation of the shape will change; however the corresponding points will be unchanged.
This means that:
DEFG will be mapped to D'E'F'GPoints D, E, F and G will correspond to points D', E', F' and G'.Hence, the true statements are: (a), (c) and (e)
Read more about rotation at:
https://brainly.com/question/1571997
What is the quotient (2x3 − 13x2 + 16x − 5) ÷ (x − 5)?
2x2 − 3x + 1
2x2 + 3x − 1
2x2 − 3x − 1
2x2 + 3x + 1
Answer:
Correct choice is A
Step-by-step explanation:
1 step. Multiply [tex]x-5[/tex] by [tex]2x^2[/tex] to get [tex]2x^3-10x^2[/tex] and subtract this polynomial from the polynomial [tex]2x^3-13x^2+16x-5:[/tex]
[tex]2x^3-13x^2+16x-5-(2x^3-10x^2)=2x^2-13x^2+16x-5-2x^3+10x^2=-3x^2+16x-5.[/tex]
2 step. Multiply [tex]x-5[/tex] by [tex]-3x[/tex] to get [tex]-3x^2+15x[/tex] and subtract this polynomial from the polynomial [tex]-3x^2+16x-5:[/tex]
[tex]-3x^2+16x-5-(-3x^2+15x)=-3x^2+16x-5+3x^2-15x=x-5.[/tex]
3 step. Multiply [tex]x-5[/tex] by [tex]1[/tex] to get [tex]1[/tex] and subtract this polynomial from the polynomial [tex]x-5:[/tex]
[tex]x-5-(x-5)=x-5-x+5=0.[/tex]
Then
[tex]2x^3-13x^2+16x-5=(x-5)(2x^2-3x+1).[/tex]
Answer:
Correct answer is 2x2 − 3x + 1
Step-by-step explanation:
Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In your explanation, use reasoning based on appropriate units to model this situation. (5 points) Part B: What are the two quantities that should be measured to find the rate at which water flows out of a shower head? Explain how the rate can be determined. (5 points)
The units to measure the rate of water flow from a shower are smaller than cubic meters per second due to the typical small value of this rate. To determine the rate, you need to know the cross-sectional area of the outlet and the water speed, multiplying the area by the speed.
Explanation:Part A: We do not measure the rate at which water flows out through a shower head in cubic meters per second because the typical rate of water flow from a shower is much smaller compared to one cubic meter per second. Using such a large unit for a typically small value would result in decimal figures that are often difficult to comprehend. For instance, a regular shower might output 0.01 cubic meters per minute, which convert to a very small number in cubic meters per second; hence cubic centimeters per second or liters per minute are more practical units.
Part B: To calculate the rate of flow from a showerhead, you need to know two quantities: the cross-sectional area of the outlet (which can be calculated if you know the diameter), and the speed at which the water is moving. The rate of flow (volume per unit time) can then be determined by multiplying the area by the speed of the water. Based on the given data from your textbook - a faucet with a 1.80-cm diameter and a speed of 0.500 m/s - the flow rate can be determined using the formula for the volume of a cylinder (Area of the base x Height), where in this case the 'height' would be the speed.
Learn more about Water Flow Rate Calculation here:https://brainly.com/question/35312130
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Katie decides to sell lemonade to make some money. Katie’s mom said she will double the amount of money she makes. If Katie sells 66 cups of lemonade at $0.75 each, how much money does she make?
The answer is $99! :)
Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over the next ten years, how much was Natalie’s initial deposit when she opened the account?
Answer: $720.
Step-by-step explanation:
The formula to find the simple interest is given by :-
[tex]I=Prt[/tex], where P is the principal amount , r is the rate of interest in decimal and t is the time in years.
Given : Rate of interest : r= 0.025
Simple interest : I= $180
Time : t=10
Let P be the Natalie’s initial deposit when she opened the account, then we have:-
[tex]180=P(0.025)(10)\\\\\Rightarrow\ P(0.25)=180\\\\\Rightarrow\ P=\dfrac{180}{0.25}=\dfrac{18000}{25}=720[/tex]
Hence, the Natalie’s initial deposit when she opened the account was $720.
y+15 <3 for inequality
The number 64 is a perfect
A.square and cube
B.square
C.cube
3 is less than or equal to x, and x is less than or equal to 9
will give medal to best answer!
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.
C = 38°, a = 19, c = 10,
Answer:
No triangle is formed
Step-by-step explanation:
took test
Which of the following is not an identity?
A. cos^2 x csc x - csc x = -sin x
B. sin x(cot x + tan x) = sec x
C. cos^2 x - sin^2 x = 1- 2sin^2 x
D. csc^2 x + sec^2 x = 1
***i don't really get this one :( @terenzreignz? what do u think?,
A 32 ft ladder liens against a building so that the top of the ladder touches the building at a point 23 ft above the ground. To the nearest 10th of a foot how far from the bottom of the building is the bottom of the ladder
A. 27.5 ft
B. 39.4 ft
C. 22.2 ft
D. 30.1 ft
Okay so I’m thinking between C and B. I’m more so C because I did 32 as c and 23 as be so... or it could be the other way around
I just know it’s Pythagorean theorem help. Sending stars