Answer:
3√10/5
Step-by-step explanation:
[tex]\frac{3\sqrt{6} }{\sqrt{15} }[/tex]
Rationalize √15
[tex]\hookrightarrow \frac{3\sqrt{6} }{\sqrt{15}}\times\frac{\sqrt{15} }{\sqrt{15} } \\\\\hookrightarrow \frac{3\sqrt{6} \times\sqrt{15} }{15} \\\\\hookrightarrow \frac{3\sqrt{90}}{15} \\\\\hookrightarrow \frac{3\sqrt{10} }{5} \\\\[/tex]
PLEASE HELP WILL GIVE BRAINLIEST 60 POINTS Given the triangle congruence statement ΔUVW≅ΔABC and the triangles below, mark each of the triangles appropriately for corresponding angles and sides. Then create a list of congruent sides and angles using the table.
Corresponding Sides Corresponding Angles
Congruent triangles are those triangles which have the same size and form.
What are congruent triangles?Congruent triangles are those triangles which have the same size and form. This signifies that the matching sides and angles are the same.
The two triangles ΔUVW≅ΔABC, therefore, the corresponding sides can be written as,
WU = BAUV = ACWV = BCThe corresponding angles will be,
∠W = ∠B∠U = ∠A∠V = ∠CLearn more about Congruent Triangles:
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(3x−4)(x+2)(3x−1) hurry pls
Answer:
Step-by-step explanation:
(3x - 1)(3x - 4) = 9x^2 - 15x + 4
(x + 2)(9x^2 - 15x + 4) = 9x^3 - 15x^2 + 4x + 18x^2 - 30x + 8
9x^3 + 3x^2 -26x + 8 is the solution
Factor completely 25-64x^2
Answer:
(5+8) (5-8)
Step-by-step explanation:
They are both perfect squares.
Answer:
(5+8x)(5-8x)
Step-by-step explanation:
This is a 'difference of two squares" Difference means subtraction and 25 is a perfect square and 64x^2 is a perfect square.
If you know how to factor quadratic trinomials like
ax^2 + bx + c, you can do the same thing here, using:
64x^2 +0x + 25
BUT, there's a shortcut. It is a pattern that you memorize. Since 25 is 5^2, put 5 first in the parenthesis. And since 64x^2 is 8x squared, put 8x second in the parenthesis like this:
(5 8x)
Make two of them:
(5 8x)(5 8x)
Make one a plus and one a minus.
(5 + 8x)(5 - 8x)
Done!
Well, if the directions say "factor" then you are done. If the directions say "solve" then put each piece equal to zero and solve for x.
Hope this helps!
what is the volume of a cylinder, in cubic with a height of 2 inches and a base diameter of 18 inches Round to the nearest place
Answer:
V = 508.938 [tex]in^{3}[/tex]
Step-by-step explanation:
The equation to find the volume of a cylinder is:
[tex]V = \pi r^{2} h[/tex]
r = radius
h = height
In the question it gives us the height (2 inches) and the diameter (18 inches).
We need to find the radius from the diameter. To do this, divide the diameter by 2:
r = 18/2 = 9
Now, plug everything into the equation and solve:
[tex]V = \pi (9)^{2} (2)[/tex]
Use a calculator to get the answer:
V = 508.938 [tex]in^{3}[/tex]
(Side note: I don't know what place to round to because in the question it says to "round to the nearest place" but doesn't say tenth, hundred, etc. If the question on your homework says tenth then the answer would be 508.9, hundredth = 508.94, thousandth = 508.938)
Hope this helps!! If you have questions please comment them under this!
Question 10
If y varies inversely as x and y = -6 when x = 4, find the value of y when x = 5.
What is the median of the following data set ? {3,4,2,8,5}
4
Explanation:
3, 4, 2, 8, 5
arrange in ascending order
2, 3, 4, 5, 8
Identify the integer at the middle
median: 4
Arrange in ascending order
{2,3,4,5,8}Median term=(5+1)/2=6/2=3rd term=4
Median is 4
What is the probability that he will hit fewer than 8 of the bottles?
Using the binomial distribution, it is found that the probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
The probability of a bottle being hit is of p = 0.95.There are n = 10 bottles.The probability that he hits fewer than 8 of the bottles is given by:
[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]
In which:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.95)^{8}.(0.05)^{2} = 0.0746[/tex]
[tex]P(X = 9) = C_{10,9}.(0.95)^{9}.(0.05)^{1} = 0.3151[/tex]
[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]
Hence:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.0746 + 0.3151 + 0.5987 = 0.988[/tex]
[tex]P(X < 8) = 1 - P(X \geq 8) = 0.012[/tex]
The probability that he will hit fewer than 8 of the bottles is of 0.012, given by option A.
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Graph y=|3x| using as many points as needed
Answer:
Graph is below
Step-by-step explanation:
I am going to use 3 points to make this graph
(0,0)
(-1,3)
(1,3)
Answer:
(0,0), (-1,3), (1,3)
Step-by-step explanation:
The graph is below!
Hope this helps!!!!!!!!!!!!
Solve for x
4(x + 6) = 3x – 7
Answer:
-31 = x
Step-by-step explanation:
Step 1 4x + 24 = 3x - 7
Step 2 x + 24 = -7
Step 3 x = -31
Hope this help!!!
Pls help me and show work! Thank you <3
Answer: 18
Step-by-step explanation:
By the consecutive interior angles theorem, [tex]5x+7x+24=180 \longrightarrow x=13[/tex].
So, this means that using the corresponding angles theorem, [tex]7x+24=6y+7[/tex], and since [tex]x=13[/tex], this means that [tex]7x+24=115[/tex].
So, [tex]6y+7=115 \longrightarrow \boxed{y=18}[/tex]
How many inches are in one and a half yards
Answer:
54
Step-by-step explanation:
54 inches
hope it helps...!!!
Solve the system using elimination.
Answer:
3x +2y = 11 .... 1
x +5y = 8....2
x + 5y = 8
multiply by -3 on both sides
-3x - 15y = -24
-3x - 15y = - 24
3x +2y = 11
-13y = -13
y = 1
substitute the value of y in 1 or 2
3x +2y = 11
3x = 11 - 2y
3x = 11 - 2(1)
3x = 9
x = 3
(x;y) ( 3 ; 1)
eq(2)×3
3x+15y=24-(3)eq(1)-eq(3)
-13y=-13y=-13/-13y=1Putting in eq(2)
x+5=8x=8-5x=3Pair
(3,1)A basketball player made 70 out of 100 attempted free throws. What percent of free throws was made?
Answer:
70%
Step-by-step explanation:
To find the percent you put the part (70) out of the whole (100) and then multiply it by 100%. Like this:
[tex]\frac{70}{100} *100[/tex] = 70%
You can also look at it like this, it is already out of 100, so he made 70% of free throws because he made 70 free throws!
I hope this helps! Good luck and if you have any questions please let me know in the comments!
Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side
GH. Round your answer to the nearest tenth if necessary.
5
E
23.3
H
C
7
Answer: 32.6
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
20 units
Step-by-step explanation:
Given: Bases of the trapezoid
[tex]b_1 = 14\: units [/tex][tex]b_2 = 26\: units [/tex]To find: Length of midsegment
Solution: Formula for length of midsegment of a trapezoid is given as:
[tex] Length\: of \:midsegment =\frac{b_1+b_2}{2}[/tex]Plugging the values of [tex]b_1 \:and \: b_2 [/tex] in the above formula we find:[tex] Length\: of \:midsegment =\frac{14+26}{2}[/tex][tex]\implies Length\: of \:midsegment =\frac{40}{2}[/tex][tex]\implies Length\: of \:midsegment =20\: units[/tex]Can someone help with this I don't understand
Answer:
1. B 15
2. C Hexagon
Step-by-step explanation:
1.Euler's formula tells you the relation between numbers of faces, vertices, and edges of a polyhedron is ...
F +V = E +2
Solving for the number of faces, we have ...
F = E +2 -V
For the given numbers, the missing number is ...
F = 26 +2 -13 = 15
Faces: 15
__
2.The cross section (shaded figure) is described by the number of edges it has. You can count them. There are three pairs of parallel edges, for a total of 6 edges. That makes the figure a hexagon.
The angle XYZ has and angle y which is twice the size of x. If the third angle is 20 degree what is the value of x and y
The value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The angle XYZ has an angle y which is twice the size of x. Thus,
2x=y
The third angle is 20 degree, which is Z. Thus,
z=20
By the triangle angle sum theorem,
x+y+x=180
x+2x+20=180
3x=180-20
x=160/3
x=53.33
The measure of angle y is,
y=2×53.33
y=106.66
Thus, the value of angle x and y in the triangle XYZ are 53.33 degrees and 106.66 degrees, respectively.
Learn more about the triangle angle sum theorem here;
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what is the slope of a line that is perpendicular to the line shown? A-1/3 B-1 C-2/3 D-3/2
Answer:
-1
Step-by-step explanation:
perpendicular = always has a slope of neg 1
Answer:
-1
Step-by-step explanation:
It is -1. I can't explain, I just did it in my head, so sorry!
Express the following rate as a unit rate.
63 jumping jacks in 3 minutes
_____ jumping jacks per minute
Answer:
21 jacks/min
or 21 jacks per minute
Step-by-step explanation:
63/3 = 21
write it as ___ unit/rate
please mark brainliest
use the graph of the parabola to fi in the table
Answer:
line of symmetry: x = -3
intercepts...
x - intercept: (-4, 0) and (-2, 0)
y - intercept: (0, 8)
vertex: (-3, -1)
Step-by-step explanation:
The image isn't that clear but what I can get is what listed
line of symmetry is the line straight down the middle as if the graph is reflected to the other side
intercepts...
x - intercept is when y = 0, note there is 2 of these a negative and positive root
y - intercept is when x = 0
vertex is the turning point
for an upward curve its a min
for a downward curve it a max
I attached an example of each on of these
Convert the following angle from degrees to radians. Express your answer in simplest form 345 ∘
well, since we know that there are 180° in π radians, how many degrees will it be in 345°?
[tex]\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 345&x \end{array}\implies \cfrac{180}{345}~~ = ~~\cfrac{\pi }{x}\implies \cfrac{12}{23}~~ = ~~\cfrac{\pi }{x} \\\\\\ 12x=23\pi \implies x=\cfrac{23\pi }{12}[/tex]
Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.
Answer:
see explanation
Step-by-step explanation:
the graph has a maximum turning point at (- 2, 2 )
the maximum value is the value of the y- coordinate of the vertex , then
maximum at 2
the domain is the values that x takes, in this case
domain is all real numbers
the range is the values that y can have, in this case
range is y ≤ 2
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Maximum = 2Domain : all real numbersRange : y ≤ 2f p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)
Answer:
[tex]2x^{2} - 16x + 30[/tex]
Step-by-step explanation:
Here we have to find p(q(x))
q(x) =x -3
we will plug value of q(x) in x of p(x)
p(x) =2x2-4x
p(q(x)) = 2(x-3)2-4(x-3)
= 2(x2-6x+9)-4(x-3)
=2x2-12x+18 -4x+12
[tex]2x^{2} + 16x + 30[/tex]
ANSWER FOR A BRAINLY plEASE
Answer:
91 I believe. 7x4 is 28, divide by 2, you get 14. there is two triangles that have the same area so multiply by two to get 28 for the top half. then 7x9 is 63, divided by 2 times 2 is 63. add 63 and 28 to get 91
HELP ME PLEASE!!!!!!!!!!!!!!!!
Answer:
40
Step-by-step explanation:
you multiply them all together
The US Mint charges $25 for a limited edition coin, plus a $6 shipping charge. The
cost, c, of purchasing n coins can be found using the function c = 25n+6. There is a
limit of 5 coins per purchase. What is a reasonable domain for this function?
a. {5}
b. {1, 2, 3, 4, 5}
c. {25, 50, 75, 100, 125}
d. {31, 56, 81, 106, 131}
Answer:
b. {1, 2, 3, 4, 5}
Step-by-step explanation:
Given function:
c = 25n + 6
(where c is the total purchase cost and n is the number of coins)
Domain: input values → n-values
If there is a limit of 5 coins per purchase, this means that you can purchase up to and including 5 coins at any one time.
Therefore, the domain is: {1, 2, 3, 4, 5}
{1, 2, 3, 4, 5} is a reasonable domain for this function.
So, the correct answer is:
b. {1, 2, 3, 4, 5}.
The cost function for purchasing n coins is given by c = 25n + 6.
However, there is a limit of 5 coins per purchase.
This means that the number of coins (n) should not exceed 5,
as it is not possible to purchase more than 5 coins in a single purchase.
Therefore, a reasonable domain for this function would be the set of numbers from 1 to 5,
since n can take any value between 1 and 5, inclusive.
Hence, {1, 2, 3, 4, 5} is a reasonable domain for this function.
So, the correct answer is:
b. {1, 2, 3, 4, 5}.
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Find a1 when S7=5465, r=3, n=7 using geometric series
[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ n=7\\ r=3 \end{cases} \\\\\\ S_7=a_1\left( \cfrac{1-r^7}{1-r} \right)\implies 5465=a_1\left( \cfrac{1-3^7}{1-3}\right)\implies 5465=a_1(1093) \\\\\\ \cfrac{5465}{1093}=a_1\implies \boxed{5=a_1}[/tex]
Find the shortest length of 1/2-inch conduit from which the following pieces can be cut: 7 1/8 inches, 3 1/4 inches, 6 1/2 inches, 12 1/8 inches, and 24 3/16 inches. Allow 1/ 16 inch for each saw cut.
please break it down for me:)
Answer:
106 7/8 inches
Step-by-step explanation:
Simplifying the pieces
57/8 + 13/4 + 13/2 + 97/8 + 387/16114/16 + 52/16 + 104/16 + 194/16 + 387/16 + 4/16855/16855/16 x 2855/8106 7/8 inchesHow do complementary angles relate to right angles?
A rectangle has a perimeter of 36 feet and a base of 14 feet. What is the height?
Answer:
The answer is 4.
Step-by-step explanation:
If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.
