Answer:
x=40,y=22
Step-by-step explanation:
62/2=31
31+9=40
31-9=22
40+22=62
4√18 using Prime Factorization
For the given number is 4√18 .The Prime factorization would be 4√18 = 2 x 2 x √2 x √3 x √3.
What is prime factorization?Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.
Those composing integers are called factors of that considered integers.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
For the given number is 4√18
Prime factorization
4√18 = 2 x 2 x √2 x √3 x √3
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What additional information do you need to prove the triangles are congruent by SSS
The information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side by side property which is written as SSS.
Now in the given figure, the side YD is similar and equal to the side OD so option C will be the correct answer.
Hence the information do you need to prove the triangles are congruent by SSS Will be YD ≅ OD.
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PLEASE HELP ME OUT
8.)
Using special right triangles, what will be the y-coordinate of the point below?
a.)
5√3
b.)
5
√3
30°
10 units
(0,0)
c.)
d.)
Step-by-step explanation:
the answer is b 5 according to the graph
i cannot understand this AT ALL (would be glad to have an explanation)
hmmm well, don't be so hmmm off due to it, the wording in the exercise sux0rs bad, is very poorly worded and laid out.
if X and Y are numbers, hmmm say let's give them hmmm ohhh X = 7 and Y = 13.
And X and Y are also complete cubes, well, let's make them so, X = 7³ and Y = 13³.
which of those expressions are complete cubes, or namely, something that we can write as a number with a "3" in the exponent, let's check each one.
[tex]\begin{array}{ll|l|l|lllll} 8X&\implies 8\cdot 7^3& 2^3\cdot 7^3& (2\cdot 7)^3& 14^3 ~~ \checkmark\\&&&&\\ X,Y&\implies 7^3,13^3 ~~ \checkmark&&\\&&&&\\ -X&\implies -7^3~~ \checkmark&&\\&&&&\\ 27XY&\implies 27\cdot 7^3\cdot 13^3& 3^3\cdot 7^3\cdot 13^3& (3\cdot 7\cdot 13)^3& 273^3~~ \checkmark\\&&&&\\ XY+27&\implies 7^3\cdot 13^3+27&(7\cdot 13)^3 + 3^3&&91^3+3^3 ~~ \bigotimes \end{array}[/tex]
what's wrong with the last one? well, if we were to add 91³ + 3³ = 753598. Now, is 753598 a complete cube? well, only if we could write it as a whole number with a "3" above, can we? nope.
we can simply check that by getting the 3rd root of that value,
[tex]\sqrt[3]{753598}\approx 91.00108681228277\impliedby \textit{not a complete cube}[/tex]
Which 3 lengths would in fact make a right triangle?
4, 3 , 7
How Can It Be Said That 3 Lengths Would Make A Right Triangle?
To see if your three sides will form a triangle, add the two short sides and compare with the long side. If the two short sides are longer than the long side you have a triangle.
What is a Right Triangle?A right triangle is a triangle with one 90-degree angle.
11y6x+y=4x+11y6 what does y=
Answer:
[tex]y=\frac{x}{5}[/tex]
Step-by-step explanation:
hope this helps
what is the GCF of 5 and 14
Answer:
1, because 5 and 14 are divisible by no other number except themselves in this instance only, and for this case, that only number is 1.
Your answer is 1.
Hope this helps
Jade jade made 2 quarts of salsa for a party. tania brought twice as march salsa for the party. how many pints of salsa do the girls have in all
Answer:
6 quarts of salsa in all
"Twice" indicates multiplying by 2, so multiply 2 by 2 to get 4.
That's not the end of the problem, though. "In all" indicates that we must add the values together. 2 plus 4 is 6, so your answer is 6.
If k (x) = x^2 and p (x) = k (x) + n, what is the value of n?
The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6
How to determine the value of n?The equations are given as:
k(x) = x^2
p (x) = k (x) + n
From the graph, we can see that the graph of k(x) is shifted down by 6 units.
This means that the equation of p(x) is
p (x) = k (x) - 6
By comparison;
n = -6
Hence, the value of n in p (x) = k (x) + n is -6
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Please help with this, Thank You.
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex]3x + 9 = 5x - 15[/tex]
[tex]2x = 24[/tex]
[tex]x = 12[/tex]
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Answer: A, B
Step-by-step explanation:
A and B are unique to parallel lines, C and D are not.
The local grocery store is being remodeled. The width of the floor is 84 feet and the length of the floor is 71 feet. What is the perimeter of the floor?
Answer:
the perimeter is the width added to the length
Find the next two terms of the sequence 10, -11, -32, .
Answer:
B
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Because.....
-11 - 10 = -21
-32 - (-11) = -21
This tells us that the sequence is adding by -21, which is why the next 2 terms will be -53 and - 74 since....
-32 + -21 = -53
-53 + -21 = - 74
Hence, the answer is A.
Ms Hieronymus goes through 1/2 a package of pencils every 1/8 a month for her students How many packages does Ms Hieronymus need for 10 months
Answer:
Every 1/8 month (ie about 4 days) she uses 1/2 a package
So every month she will use 8 x (1/2) = 4 packages
So in 10 months she will use 4 x 10 = 40 packages
The diagonal of the rectangle is 10 inches long and the height of the rectangle is 8 inches. What is the perimeter of the rectangle in the inches?
Basic perimeter is really easy to understand;
Step-by-step explanation:
10 x 8 = 80 in.
80 in. is your answer! Please mark brainliest and have a great day! :D
The radius of the base of a cylinder is 16 cm. The height of the cylinder is 27 cm. Find the surface area and volume of the cylinder.
Answer:
Step-by-step explanation:
SA/Surface area of cylinder=2πrh+2πr^2
SA=2xπx16x27 + 2xπx16^2
SA=864π + 512π
SA=1376π
OR
SA=4322.83 to 2.d.p
what interest rate do you need for an $5000 investment compounded annually to double in 10 years?
What interest rate do you need to double your money in 10 years?
R = 72/t = 72/10 = 7.2% Example Calculation in Months If you invest a sum of money at 0.5% interest per month, how long will it take you to double your investment? t=72/R = 72/0.5 = 144 months (since R is a monthly rate the answer is in months rather than years)
Therefore, since R is a monthly rate the answer is in months rather than years, the interest rate that you need for an $5000 investment compounded annually to double in 10 years is 7.2%
Quick please!!
Tell whether a triangle with the given side lengths is a right triangle.
14 cm, 23 cm, and 25 cm
Graph the inequality
y≤2
Answer:
straight line on 2 on the y axis
Step-by-step explanation:
Its just a straight line on 2 on the y axis
Rectangle QUAD has coordinates Q(0,0), U(0,), A(,), and D(,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor . What are the coordinates of point D'?
The coordinates of point D' are (36,0).
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
QUAD has coordinates Q(0,0), U(0,3), A(6,3), and D(6,0).
The scale factor for Q'U'A'D' is 6.
So, the coordinates of Q'U'A'D' after dilation is:
Q'(0,0), U'(0,3*6), A'(6*6,3*6), and D'(6*6,0).
and Q'(0,0), U'(0,18), A'(36,18), and D'(36,0).
Hence, the coordinate of D' is (36,0).
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HELP can i get some help here please
The graph of the system of inequalities can be seen at the end of the answer.
How to graph the system of inequalities?
Here we have two inequalities:
x < 2
y ≥ - 3
To graph the first one, we need to shade all the region at the left of the line x = 2, such that the line must be dashed, because the points on the line are not solutions.
For the second inequality, we need to shade all the regions above the line y = -3, this time the line must be solid, because the points on the line are solutions.
Then the graph of the inequalities is the one you can see below. The intersection of the shaded regions is the solution of the system of inequalities.
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Find its Surface Area 5 m 7 m 3 m 4 m
Answer:
D. 96 m²
Step-by-step explanation:
The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.
__
rectangular facesThe dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.
triangular facesThe two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.
totalThe total surface area is ...
lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²
surface area = 96 m²
_____
Additional comment
The formula for the area of a triangle is ...
A = 1/2bh
A triangular prism has two congruent triangular faces, so their total area is ...
A = 2(1/2bh) = bh
We elected to skip the halving and doubling, and go straight to the total base area.
Using the image above, what is the measure of Angle D? Round to the nearest hundredth
Answer:
57.1 degrees
Step-by-step=
32.9+90=122.9
180-122.9=57.1
Which would indicate the water in a lake is not safe for drinking
Answer:
The water in a lake is not safe for drinking, high turbidity levels in the lake Coliform bacteria occur innately in soil and in the intestines of humans and other organism.
CORRECT ANSWER: high turbidity levels in the lake.
Step-by-step explanation:
Based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season? ani was more successful because she had an outlier. marta was more successful because she received the highest score. ani was more successful because she had the greater measure of center. marta was more successful because she had the greater total spread.
The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.
What is a box plot?Box Diagram provides a quick visual summary of the variability of values in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.
In this case, the total spread of Ani is from 4.5 to 9.5 and the total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.
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For each graphically defined function below, state the domain, the range, and the intervals on which the function is increasing, decreasing, or constant.
Domain:
Range:
Increasing:
Decreasing:
Constant Intervals?
Answer:
See below ~
Step-by-step explanation:
Domain : range of x -values
Minimum = -2Maximum = 3Domain = [-2, 3]Range : possible y-values
Maximum point is 2Minimum point is -2Range = [-2, 2]Increasing :
[-2, 0]Decreasing :
x = [0, 3]Constant :
NoneWhat are the trigonometric ratios of in a right triangle with the given value tan A = 9/40
The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
Trigonometric ratiosTrigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
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2. 20+(5 X 2/5 )+ 3 please answer with process not just answer thanks
Answer:
[tex]25 \: or \: {5}^{2} [/tex]
Step-by-step explanation:
Simplify It
[tex]20 + 2 + 3[/tex]
Then calculate it.
[tex]20 + 2 + 3 = 25[/tex]
Answer:
25
Step-by-step explanation:
Given:
20+(5 × 2/5 )+ 3
Solve:
Using the PEMDAS
Which is:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
Thus we have:
20+(5 × 2/5 )+ 3 {5 × 2/5 = 2}
= 20 + 2 + 3
= 22 + 3
= 25
Kavinsky
How do you add negative numbers with positives
when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words
examples:- First
[tex]5 + ( - 2) = 5 - 2 = 3[/tex]
like here we put + in front of 3 as larger number 5 is positive
second[tex] - 7 + 5 = - 2[/tex]
we put negative because 7 is larger then 5 and 7 is negative
Find the measure of all sides. Round to the nearest tenth.
Answer:
(15squrt3)/2
Step-by-step explanation:
cos30=x/15
