Rectangular pool is 7 feet wide. It is 3 times as long as it is wide. Label the diagram with dimensions of the pool.
When 605,000 is written in scientific notation, what will be the value of the exponent?
Answer:1
10x2
Step-by-step explanation:
The number of cans recycled per pund of aluminum recycled in the U.S increased at a relatively constant rate from 1972 to 2002. In 1977 about 23.5 cans per pound of aluminum were recycled. In 2000, about 33.1 cans per pound of aluminum were recycled. A.Write an equation that gives the number of cans recycled per pound of aluminum recycled as a function of the number of years since 1972. B.In 2002 there were 53.8 billion aluminum cans collected for recycling. Approximately how many pounds of aluminum were collected. Explain how you found your answer.
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A set of points is graphed below.
Which point(s) would cause the set of points to no longer represent a function? (Select all that apply.)
(1,1)
(5,1)
(-2,5)
(0,2)
The answers are:
(1, 1) and (0,2)
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Will you still give brainliest please?
Choose the words that make the sentence true. the number 7 is prime or composite because it has exactly or more than two factors
Answer:
The number 7 is prime becuase it has only 2 factors: 1 and itself.
Step-by-step explanation:
I hope it helps:)
What are the zeros of the polynomial function f(x)=x^3-13x^2+40x?
Answer:
X=0,5,8
Step-by-step explanation:
I forgot how to do this. Can someone tell me how?
A seamstress needs to cut 15- inches pices of ribbons from a roll of ribbon that is 9 feet in length. What is the greatest number of 15-inches pieces the seamstress can cut from 5 of these rolls of ribbon?
240 is 60% of what number?
Determine if the side lengths 6, 11, and 19 form a triangle. If it is a triangle, classify it by its sides.
Factor each of the following. Remember: It is the reverse of the distributive property and your first step is to find the greatest common factor of all terms.
solve it okayyy
-6d=-24
Compute the requested average. Tim Worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May June $200 $150 $250 $260 $285 $380 What is his average pay? (To the nearest hundredth.)
254.17255.37257.83259.85
If you add up all the monthly incomes, you get 1590. If you divide 1590 by 6 (the number of the months), then you get the answer: $265.
Edit: my bad, I read the question wrong, the answer is $254.17
A line contains the points (82,−96) and (87,−86) .
What is the slope of the line in simplified form?
Enter your answer in the box.
A line contains the points (82,−96) and (87,−86)
To find slope of a line we use formula
We are given with two points (x1,y1) and (x2,y2)
x1= 82, y1=-96, x2=87, y2=-86
plug in all the values in the formula
[tex]slope =\frac{ (y_2-y_1)}{x_2 - x_1}[/tex]
[tex]slope =\frac{ (-86-(-96))}{87-82}[/tex]
[tex]slope =\frac{ (10)}{5}=2[/tex]
Slope of the line = 2
Lucy purchased 2.7 lbs. of apples that were on sale for $2.50/lb. If she paid with a ten dollar bill, how much change did she receive?
2.50 * 2.7 = $6.75 total
10.00 - 6.75 = $3.25 change back
It took John 3 minutes to drive 18 laps. How many laps per minute did he run?
114 ÷ 19
[tex]114 \div 19 =[/tex]
Write the Expression in standard form by expanding and combining like terms 4(8m-7n) +6(3n-4m)
Which postulate or theorem proves that these two triangles are congruent?
AAS Congruence Theorem
SAS Congruence Postulate
ASA Congruence Postulate
HL Congruence Theorem
From the figure,
JHGF is a parallelogram.
From the properties of parallelogram,
∠ F = ∠ H (opposite angles are equal)
FG = JH (opposite sides are equal)
Also, note that FG || JH and JG is a transversal.
Therefore,
∠ FGJ = ∠ GJH (Alternate interior angles are equal)
Now, in Δ FGJ and Δ GJH,
FG = JH
∠ F = ∠ H and
∠ FGJ = ∠ GJH
Hence, the triangles are congruent by AAS Congruence Theorem.
The triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] are congruent by [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].
Further explanation:
From the given figure it is observed that there are two triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] inside the quadrilateral.
Two triangles are said to be congruent if both the triangles have same angles and sides or it can be said that two triangles are congruent if they completely overlap with each other.
The theorems to check the congruency for the two triangles are as follows:
1) SSS congruence theorem:
As per the SSS congruence theorem if all the three sides of the first triangle are equal to all the three sides of the second triangle then the two triangles are called congruent triangles.
2) SAS congruence theorem:
As per the SAS congruence theorem if the two sides of first triangle are equal to the two sides of the second triangle and the including angles are equal then the two triangles are called congruent triangles.
3) AAS congruence rule:
As per the AAS congruence theorem if the two angles of first triangle are equal to the two angles of the second triangle and the similarly located sides are equal then the two triangles are called congruent triangles.
4) HL congruence rule:
As per the HL congruence theorem if the hypotenuse and the one other side of a triangle is equal to the hypotenuse and the corresponding other side of the second triangle then the two triangles are called congruent triangles.
From the given figure it is observed that [tex]\angle \text{GJH}[/tex] is equal to the [tex]\angle \text{JGF}[/tex], [tex]\angle \text{GHJ}[/tex] is equal to the [tex]\angle \text{GFJ}[/tex] and the side JG is the common side for [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].
From figure 1 (attached in the end) it is observed that the [tex]\angle \text{GJH}[/tex] and the [tex]\angle \text{JGF}[/tex] lies on same side, [tex]\angle \text{GHJ}[/tex] and the [tex]\angle \text{GFJ}[/tex] lies on the same side and the side JG is common for the [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].
For triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].
[tex]\fbox{\begin\\\ \begin{aligned}\angle\text{GJH}&=\angle\text{JGF}\\ \angle\text{GHJ}&=\angle\text{GFJ}\\ \text{JG}&=\text{JG}\end{aligned}\\\end{minispace}}[/tex]
So, as per the concept of AAS congruence theorem the two triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are the congruent triangles.
Therefore, the theorem according to which the triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are congruent is [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].
Learn more:
1. A problem to complete the square of quadratic function https://brainly.com/question/12992613
2. A problem to determine the slope intercept form of a line https://brainly.com/question/1473992
3. Inverse function https://brainly.com/question/1632445
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Congruency
Keywords: Congruency, congruent, congruent triangles, AAS, SSS, SAS, HL, angles, sides, quadrilateral, theorem, postulate, geometry, mathematics, hypotenuse.
Which of the following ordered pairs lies on the graph of h(x) = -2x^2?
(1, -4)
(1, -2)
(1, 4)
Answer: The correct option is second,i.e., (1,-2).
Explanation:
The given equation is,
[tex]h(x)=-2x^2[/tex]
We have to find which of the ordered pair lies on the graph of h(x). A
In all ordered pairs the values of x coordinate are same that is 1 and the values of y coordinate are different.
Put x = 1 in the given function.
[tex]h(1)=-2(1)^2[/tex]
[tex]h(1)=-2(1)[/tex]
[tex]h(1)=-2[/tex]
The value of function is -2 at x = 1, so the ordered pair (1,-2) lies on the graph of the function h(x).
Therefore, the second option is correct.
What are the solutions of the equation c2-10c=0
How do you isolate the variable ‘c’ in the equation F=(9/5)c+32 ?
(c) Mrs. Dewalt looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain your answer
PLEASE HELP ME DUE TOMOROW please show the work thanks
Marley Works how to beat store she has 4 and 3/4 pounds of beads she is making 1/8 lb packages how many packages will she be able to make
Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.
What is the scale factor of the dilation?
PLEASE PLEASE PLEASE HELP!!!!
HELPPPPPPPPP!!!!!!!!!!!!
Enter your answer in the box
is number 10 right? of it isnt plz tell me thanks!
What's the largest 3-digit base 14 integer?
3Q + 11 + 8q less than 99
The solution of the inequality 3q + 11 + 8q < 99 is q < 8.
How to solve inequalities?Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. Therefore, the inequalities can be solved as follows:
3q + 11 + 8q < 99
combine like terms
3q + 11 + 8q < 99
3q + 8q + 11 < 99
11q + 11 < 99
subtract 11 from both sides of the inequalities
11q + 11 < 99
11q + 11 - 11 < 99 - 11
11q < 88
divide both sides of the inequalities by 11
11q / 11 < 88 / 11
q < 8
Therefore,
q < 88
learn more on inequalities here: https://brainly.com/question/17086294
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Dale has a special deck of cards. Each card has a different rational number on it. The cards are 0.25,4/5,2/9,0.48, and 8/11. How many cards have a value that is greater than 1/2
Answer:
Below:
Step-by-step explanation:
There are two cards which have a value greater than 1/2. In order to calculate this, you need to look at the numbers. 0.25 equals 1/4, which is not greater than a half. 2/9 would also not be greater than one half. 1/2 is .50, so .48 would also not be greater.