which of the following represents the ratio of the hypotenuse to the given side 45 and 45
Answers
we know that
[the ratio of the hypotenuse to the given side]=(6√2)/(6)-----> √2/1
therefore
the answer is the option A) √2/1
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The complete answer is mentioned in the below image.
The ratio of the hypotenuse to the given side is,
Ratio = (6√2)/ 6 = √2 : 1
Hence, the correct option is C.
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Related Questions
If PQRS is a parallelogram, what is the value of Y
Answers
RQ = SP
1/4 y = 13
Now you will multiply the reciprocal of 1/4 on both sides.
4(1/4 y) = (13)4
y = 52.
So the answer is option C.
The value of y is equal to 52. The correct option is C.
What is a parallelogram?A parallelogram is a quadrilateral having four sides and the two opposite sides are equal and parallel to each other.
To find the value of y all you have to do is set side RQ and SP equal to each other because opposite sides of a parallelogram are congruent.
RQ = SP
1/4 y = 13
Now you will multiply the reciprocal of 1/4 on both sides.
4(1/4 y) = (13)4
y = 52.
Hence, the answer is option C.
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Factor completely.
y^2+6y+8
Answers
(y + ____)(y + ______)
The blanks equal the factors of the last term. The last term may have multiple pairs of factors, but you need to look at the middle term to find the correct pair. The sum of the pair of factors should equal the middle term. For instance, in this example 8 + 1 does not equal 6, even though it is a factor pair of 8. It is easier to grasp the answer if you name all the factor pairs and work from them. With practice, factor pairs will come easier. In this case, the factor pair is 4 and 2.
4x2 = 8 and 4 + 2 = 8.
Therefore, (y + 2)(y + 4) = y^2 + 6y + 8
Final answer:
To factor the expression [tex]y^2+6y+8[/tex] completely, we use the method of factoring binomials. The expression can be factored as (y + 2)(y + 4).
Explanation:
To factor the expression y2 + 6y + 8 completely, we need to find two binomials that multiply together to give us the original expression. Since the coefficient of the y2 term is 1, we know that the binomials will take the form (y + a)(y + b). To find the values of a and b, we need to find two numbers that add up to 6 (the coefficient of the y term) and multiply to give 8 (the constant term).
The numbers that satisfy these conditions are 2 and 4, because 2 + 4 = 6 and 2 × 4 = 8. So, we can factor the expression as (y + 2)(y + 4).
Please answer this question!! Show your work
Answers
When converting a decimal to a percent two places to the right.
I hope this helps!
What is 22+6\3= because i have it in my homework i need do know
Answers
6 ÷ 3 =2 , so 22 + 2= 24
hopefully this helps
A sequence is defined by the recursive function f(n + 1) = f(n) – 2. If f(1) = 10, what is f(3)? 1 6 8 30
Answers
Using our formula, we know that f(1) = 10, and f(2) = f(1) - 2 = 10-2 = 8. That means that f(3) = f(2) - 2 = 8 - 2 = 6.
Answer:
6
Step-by-step explanation:
2(3x+4)-5(1-2x)=7(2x-3)+12 in stages
Answers
6x+8-5+10x = 14x - 21 + 12
Stage 2: COMBINE LIKE TERMS
16x + 3 = 14x - 9
Stage 3: SOLVE
2x = -12
x = -6
Hope this helps!
LHS= 2(3x+4)-5(1-2x) = 6x+8 -(5-10x)
= 6x+8+10x-5 =16x +3
RHS= 7(2x-3)+12 = 14x-21+12=14x -9
since LHS=RHS
16x+3=14x-9 (by subtracting 14x from both sides)
2x +3 = -9 (by subtracting 3 from both sides)
2x =-12 (divide both sides by 2)
x = -6
Note:
please describe your problem with adding comments on your requirements.
Make a the subject of the formula: v^2=u^2+2as. Please help & show working
Answers
V^2 = U^2 + 2AS
V^2 - U^2 = 2AS
(V^2 - U^2)/2S = A
A= (V^2 - U^2)/2S
PLEASE HELP ASAP!!!!!!!!!
Answers
Answer C)
The. system shown is ____.
consistent
equivalent
inconsistent
Answers
Answer:
inconsistant mi boii
Step-by-step explanation:
The given system of equations is inconsistent.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the graph of three lines as shown.
A system of equations is called an inconsistent system of equations if there is no solution. Since, the given lines do not intersect at one common point, hence the given system of equations is inconsistent.
Therefore, the given system of equations is inconsistent.
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A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.
Answers
The number of cubic yards of concrete does Joey need to buy is 5 cubic yards.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Given that, a platform has a volume of 135 cubic feet.
One cubic yard is equal to 27 cubic feet.
Now, number of cubic yards
= 135/27
= 5 cubic yards
Therefore, the number of cubic yards of concrete does Joey need to buy is 5 cubic yards.
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"Your question is incomplete, probably the complete question/missing part is:"
A platform has a volume of 135 cubic feet, but the concrete Joey wants to buy is sold by the cubic yard.
How many cubic yards of concrete does Joey need to buy?
please help I will mark brainlist if correct
Answers
The admission fee at a fair is $2.00 for children and $4.00 for adults.
On Saturday 2,500 people entered the fair and $7,000.00 were collected.
How many children and how many adults attended? Give your answer, using x for children, y for adults.
Form of: x =, and y =
Let K = no. of children
Let A = no. of adults
2500 people mean
Kids + Adults
K + A = 2500
K = 2500 – A
2K + 4A = 7000
K + 2A = 3500
(2500 – A) + 2A = 3500
A = 3500 – 2500
(A = 1000, adults)
K = 2500 – A
K = 2500 -1000
(K = 1500, Kids)
CHECK:
1500*2 = $3000
1000*4 = $4000
(Total = $7000, people.).
Hope this helps:
PLEASE HELP MATH WILL MARK BRAINLY ASAP PICTURE ATTACHED
Answers
So for x we have 540 - 83 - 89 - 119 - 90 = 159° left
PLS HELP QUICKLY :V) Anna brings her granddaughter to a photo studio to take spring pictures. For the picture, they have a choice of a background scene, a toy prop, and an outfit. The studio has 12 different background scene, 36 toy props, and 15 outfits to choose from.
How many possible outcomes of a background scene, a toy prop, and an outfit does Anna have?
Answers
so there are 6840 possibilities, and to get a single one of these, the probability is 1/6840
To calculate the total number of possible outcomes for the photo shoot, you multiply the number of background scenes (12), toy props (36), and outfits (15), which results in 6,480 possible combinations.
The question posed involves determining the number of possible combinations of a background scene, a toy prop, and an outfit in a photo studio with a set number of each option available. To find the total number of possible outcomes, one should multiply the number of choices for each category together. In this case, Anna has 12 different background scenes, 36 toy props, and 15 outfits to choose from.
Therefore, the calculation is as follows:
Number of background scenes: 12
Number of toy props: 36
Number of outfits: 15
By multiplying these numbers, we determine the total number of possible outcomes:
12 (backgrounds) times 36 (props) times 15 (outfits) = 6,480 possible outcomes.
Mara listens to audiobooks while she’s driving. She has 3 mystery, 4 fiction, and 2 humor audiobooks in her car. Summarize the data using the mode
Answers
Answer:The mode, or most commonly occurring number in this data set, would be 4. Mara, therefore, has mostly fiction titles in her car.
Step-by-step explanation:
What number is between 7/11 and 7/10
which one?
76/99
23/33
77/9
25/44
???? plz be sure its 56 points
Answers
Point D is on segment BC. Segment BC measures 8x units in length.What is the length of segment BC?units
Answers
Factor completely 2x3 + x2 - 18x - 9
A. (x2-9)(2x+1)
B. (x-3)(x+3)(2x-1)
C. (x-3)(x+3)(2x+1)
D. (2x-3)(2x+3)(x-1)
Answers
2 x^3 + x^2 - 18 x - 9
Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)
Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)
x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)
Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):
Answer: (x - 3) (x + 3) (2 x + 1) thus the Answer is C.
The factorization of the given polynomial 2x3 + x2 - 18x - 9 is (x-3)(x+3)(2x+1) and we achieve this by factoring common terms and applying the formula for difference of squares.
Explanation:To factor the polynomial 2x3 + x2 - 18x - 9, you would first tie together similar terms (if any), then check for any common factors in all the terms. In this case, we can factor this expression in two steps:
First step: Looking for common factors, we can rewrite the expression as x2(2x) - 9(2x) + x2 - 9.Second step: Then, factor using the formula for the difference of squares and you will find that the fully factored expression is (x-3)(x+3)(2x+1).Learn more about Factoring Polynomials here:https://brainly.com/question/35418869
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jesse uses 19 beads to decorate each picture frame. In all, Jesse used 133 beads. How many picture frames did Jesse make?
Answers
Answer:
use division: 133/19 = 7 picutre frames
Step-by-step explanation:
Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?
Answers
Answer:
D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C
Step-by-step explanation:
Carlos has $690,000 he wants to save. If the FDIC insurance limit per depositor, per banks will guarantee that all of his money is insured?
A. $200,000 in bank A, $200,000 in bank B, $290,000 in bank C
B. $200,000 in bank A, $220,000 in bank B, $270,000 in bank C
C. $230,000 in bank A, $260,000 in bank B, $200,000 in bank C
D. $230,000 in bank A, $240,000 in bank B, $220,000 in bank C
Can someone help me?
Answers
make sure your calculator is in Degree mode.
Find the greatest common factor : 32a^3b^2, 44ab^3 and 40a^2b
Find the greatest common factor : 25^2q^3, 15p^2q^2 and 35pq^4
Answers
1) 4ab
2) 5pq²
Explanation
Greatest common factor is sometimes known as GCD (greatest common divisor). It means the greatest number that can divide a set of numbers.
For example, the GCD of 12 and 18 is 6.
Question 1
Find the GCF of 32a^3 b^3,44ab^3,and 40a^2 b. To do this you can factor out the common term.
32a^3 b^3,44ab^3,and 40a^2 b
Dividing every term by ab we shall have,
ab(32a^2 b^2,44b^2,and 40a)
Dividing again by 4,
4ab(8a^2 b^2,11b^2,and 10a)
Have no other common factor, the GCF = 4ab
Question 2
Find the GCF of 25p²q³,15p² q² and 35pq^4 . To do this you can factor out the common term.
25p²q³,15p² q² and 35pq^4
Dividing each term by 5,
5(5p²q^3, 3p²q² and 7pq^4)
Dividing again by pq2,
5pq² (5pq, 3p and 7q² )
There no been any other common divisor, the GCF = 5pq²
Answer:
Part A. 4ab
Part B. 5pq²
Step-by-step explanation:
Part A). In this part the given expressions are 32a³b², 44ab³, 40a²b
We have to find the greatest common factor of these expressions.
Factors of 32a³b² = 2×2×2×2×2×a×a×a×b×b
Factors of 44ab³ = 2×2×11×a×b×b×b
Factors of 40a²b = 2×2×2×5×a×a×b
So for the the greatest common factor we will choose the common factors (bold letters) of three expressions
GCF = 2×2×a×b = 4ab
Part B). The given expressions are 25p²q³, 15p²q² and [tex]35pq^{4}[/tex]
Factors of 25p²q³ = 5×5×p×p×q×q×q
Factors of 15p²q² = 3×5×p×p×q×q
Factors of [tex]35pq^{4}[/tex] = 5×7×p×q×q×q×q
Therefore greatest common factor will be = 5pq²
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
AND NO, it is not 33, 33.3, 66, or 66.6 percent.
Answers
[tex] \frac{N}{D} [/tex]
if its numerator is decreased by 50%
[tex] N - \frac{50}{100}N [/tex] ==> (this will be the numerator part)
if its denominator is decreased by 25%
[tex] D - \frac{25}{100}D [/tex] ==> (this will be the denominator part)
I try to separate them out, so it's easier to see the problem.
[tex] N - \frac{50}{100}N = \frac{100N}{100} - \frac{50N}{100} = \frac{50N}{100} [/tex]
[tex] D - \frac{25}{100}D = \frac{100D}{100} - \frac{25D}{100} = \frac{75D}{100}[/tex]
[tex] \frac{\frac{50N}{100}}{\frac{75D}{100}} = \frac{50N}{100} * \frac{100}{75D}[/tex]
[tex] \frac{50N}{75D} = \frac{2}{3}(\frac{N}{D})[/tex] by this, you can understand that
[tex] \frac{2}{3}(\frac{N}{D})[/tex] as 66.6% of N/D because 2/3 is 0.666666.... The answer should be 66.7% if you round them up.
Which step will get you closest to the solution of this equation? 5⋅(x−2)=7
Answers
Khan academy how to solve equations with fractions and mixed numbers
Answers
Alternatively, you can simply do the arithmetic using the numbers given. You learned a long time ago how to add, subtract, multiply, and divide mixed numbers and fractions. Do these operations as necessary to solve the equations.
The graph shows the cost for renting a post hole digger from a local hardware store. Determine the rate of change or cost per day.
A) $60 per day
B) $30 per day
C) $90 per day
D) $15 per day
Answers
The given graph shows the cost for renting a post hole digger from a local hardware store. We have to determine the rate of change or cost per day.
Let us consider any two points.
Let us consider (1,30) and (2,60)
We have to determine the rate of change which is basically termed as "slope".
Rate of change is expressed as a ratio between a change in one variable relative to a corresponding change in another variable.
Therefore, rate of change or cost per day =
Change in y [tex] \div [/tex] Change in x
= [tex] \frac{60-30}{2-1} [/tex]
= 30
Therefore, the rate of change or cost per day is $30 per day.
Evaluate 2x^2 − 5y / 3x − y when x = 2 and y = -4
Answers
If you substitute all the variables with the number assigned the answer would be 18.
what is the length of the 2nd base of a trapezoid if the length of one base is 27 and the length of the midsegment is 19
Answers
x=(a+b)/2
"x" is the midsegment (x=19).
"a" and "b" are the bases (a=27).
2. When you clear the second base "b" from the formula x=(a+b)/2 and you substitute the values, you obtain:
x=(a+b)/2
2x=a+b
b=2x-a
b=2(19)-27
b=38-27
b=11
What is the length of the 2nd base of a trapezoid?
The answer is: 11
Answer: 11
Step-by-step explanation:
X=(a+b)/2
2x=a+b
B=2+-a
B=2(19)-27
B=3-27
B=11
Calculate the difference 12.0875 – 7.50 using significant digits.
A. 4.5
B. 4.587
C. 4.59
D. 4.6
Answers
Answer:
The answer should be C.4.59.
(Please help~! 20 Points~!)
The solution to 8x = 32 is x = ___.
3
4
5
6
Answers
x=
[tex] \frac{32}{8} [/tex]
=4
Brainliest please? I am trying to move up a rank!
helppppppppppppppppppppppppppppppppppppp
Answers
a < -2
Explanation:
To solve the inequality, we will need to isolate the a on one side of the inequality as follows:
3 - 2a > 7
1- subtract 3 from both sides:
3 - 2a - 3 > 7 - 3
-2a > 4
2- divide both sides by -2. Remember that when dividing by a negative number, we flip the inequality sign.
-2a / -2 > 4 / -2
a < -2
Hope this helps :)