Answer:
√3 - 1
Step-by-step explanation:
(1+√3)(2-√3)=2-√3+2√3-3=√3 - 1
Answer:
[tex]-1+\sqrt{3}[/tex]
Step-by-step explanation:
[tex](1+\sqrt{3} )(2-\sqrt{3} )[/tex]
[tex]2-\sqrt{3} +2\sqrt{3} -3[/tex]
[tex]-1+\sqrt{3}[/tex]
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?
Answer:
B'(6,-3)
Step-by-step explanation:
Answer:
its B on edgenuity
Step-by-step explanation:
PLEASE ANSWER THIS MATH QUESTION !! THANK U !! 19 POINTS AND BRAINLIEST !!
Answer:
a
Step-by-step explanation:
the side x looks smaller than 8 m.
The only option smaller than 8 m is a, 5.2 m
What is the area of the parallelogram?
6
5
4
Step-by-step explanation:
A=base length × height
if base is 6cm, and h 4 cm, multiply
6×4=24cm2
Does anyone have snap???????? Need faster answrs !!!!!
Here it is plz dont judge i had it for a long time: Cool_fam7
uwu plz text me i get bored a lot
For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, and the volume V V of the cone, in cubic units.
Answer:
Step-by-step explanation:
The question is not properly structured. Here is the complete question.
For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.
The formula for calculating the volume of a cone is expressed as shown;
[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.
Given radius r = 6units, on substituting;
[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]
It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.
Generally for a direct variation
[tex]if\ y\ \alpha x \ \\y = kx[/tex]
where k is the constant of proportionality. comparing to equation 1, k = 12π.
Find the graph attached
If triangle ABC is congruent to triangle DEF, then BC is congruent to DE.
False
True
Answer: False
Step-by-step explanation:
If ABC is congruent to DEF, then BC is congruent to EF.
And A would be congruent to D.
Someone help me :)
What is the volume, to the nearest tenth of a cubic inch, of the cylinder I punto
shown below?
3 m
6 m
A 339.1
B 56.5
O C 169.6
D 27.1
CLASS- 9 HERON'S FORMULA
1) find the area of an equilateral trimgle whose perimeter is 60cm
Answer:
see below
Step-by-step explanation:
if its perimeter is 60 each side is 60/3 = 20.
Its height will be 10√3 so area is 20 * 10√3 / 2 = 100√3
nine business associates share $736800 from the sale of their company calculate to the nearest count how much they each receive
Step-by-step explanation:
1 business = 736800 ÷ 9 = 81866.66
Each business associates 81866.66
I really need help will you please help me?
Answer: y=4
Step-by-step explanation:
9/4y-12=1/4y-4+12
+12. +12
9/4y=1/4y+8
-1/4y -1/4y
2y/2=8/2
y=4
In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the following (2,3) (5,7.5) (6, ?) (?,13.5) (?,?)
What is the constant of proportionality k if y = kx?
Answer:
(6, 9) (9, 13.5) (10, 15) and k = 1.5
Step-by-step explanation:
We can plug the given points into the equation y = kx
3 = k(2)
1.5 = k (constant of proportionality)
Then, we can use this to complete the other pints.
y = 1.5(6)
y=9, so (6, 9)
13.5 = 1.5(x)
9 = x, so (9, 13.5)
If we follow the pattern, the last point should be (10, 15)
Analyze the graph below and answer the question that follows. / What is the angle of rotation from RST to R'S'T' ? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° clockwise C. 90° counterclockwise D. 270° counterclockwise
Answer:
C
Step-by-step explanation:
This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.
Answer:
d
Step-by-step explanation:
please explain how to do this
Answer:
61%
Step-by-step explanation:
Area of square:
=a²
=12²
=144
Area of two quarter circles:
=2(¼×π×r²)
=2(¼×π×6²)
=2×28.72
=56.55
Finding the percentage:
=(56. 55÷144)×100
=0.3937×100
=39.27
subtract 100% by 39.27% to find the percentage of how much is shaded
=100-39.27
=60.73
=61 (rounded off to the nearest whole percent)
Which expression is equal to f(x)/g(x)
Answer: i'd say c
Step-by-step explanation:
Which of the following expressions is equal to x^2+16?
A. (x + 4i)(x-4i)
B. (x +4i)^2
C. (x-4i)^2
D. (x + 2i)(x - 8i)
Answer:
A
Step-by-step explanation:
x² + 16 = 0
x² = - 16
x² = i² * 4² {i² = -1}
x² = (4i)²
x=√(4i)²
x=±4i
x² + 16 = (x + 4i)(x - 4i)
I need help thanks in advance
Answer:
Step-by-step explanation:
The rule is if 2 chords intersect inside a circle, then the measure of the angle formed is one half the um of the measure of the arcs intercepted by the angle and its vertical angle. In other words, angle TSU = 1/2(arc TU + arc MV):
angle TSU = 1/2(90 + 80) and
angle TSU = 1/2(170) and
angle TSU = 85
ALL YOU NEED TO DO IS DRAW THIS!!!!! Circle ω1 with center K of radius 4 and circle ω2 of radius 6 intersect at points W and U. If the incenter of 4KW U lies on circle ω2, find the length of W U. (Note: The incenter of a triangle is the intersection of the angle bisectors of the angles of the triangle)
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
If 3/x=5/y, what is the value of y/x?
Answer:
5/3
Step-by-step explanation:
multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3
Answer:
y/x=5/3
Step-by-step explanation:
3/x=5/y ⇒ y/x=5/3 replacing y with 3
URGENT I NEED HELPPP
Answer:
Step-by-step explanation:
The only valid expression from the given list is the one that uses the arctangent ([tex]tan^{-1}(0.75)[/tex] ) function.
Recall that the tangent of an acute angle in a right angle triangle is defined as:
[tex]tan(B)=\frac{opposite}{adjacent}[/tex]
therefore in our case we have:
[tex]tan(B)=\frac{opposite}{adjacent} \\tan(B) = \frac{12}{16} \\tan(B)=0.75\\B=arctan(0.75)[/tex]
Which is a y-intercept of the graphed function?
(-9.0)
(-3.0)
(0, -9)
(0.-3)
Answer: (0,-9)
Step-by-step explanation:
(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.
Find the rational number whose cube is 0.001728
Answer:
0.001728 is the cube of [tex]\frac{3}{25}[/tex]
Step-by-step explanation:
0.001728 = [tex]\frac{1728}{1000000}[/tex]
break down each using LCD
1728 / 2 = 864
864 / 2 = 432
432 / 2 = 216
216 / 2 = 108
108 / 2 = 54
54 / 3 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1
1000000 / 2 = 500000
500000 / 2 = 250000
250000 / 2 = 125000
125000 / 2 = 62500
62500 / 2 = 31250
31250 / 5 = 15625
15625 / 5 =3125
3125 / 5 =625
625 /2 = 125
125 / 5 =25
25 / 5 = 5
5 / 5 = 1
*don't forget to add another 2 for each group*
[tex]\frac{1728}{1000000}[/tex] = [tex]\frac{2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3}{2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 * 5}[/tex]
= [tex]\frac{3 * 3 * 3}{5 * 5 * 5 * 5 * 5 * 5}[/tex]
= [tex]({\frac{3x^{3} }{5x^{3} * 5x^{3} })^{3}[/tex]
= [tex]\sqrt[3]{\frac{1728}{1000000} } = (\frac{3}{5 * 5} )^{3}[/tex]
=[tex]\sqrt[3]{\frac{1728}{1000000} } = \frac{3}{5 * 5}[/tex]
= [tex]\sqrt[3]{0.001728} = \frac{3}{25}[/tex]
Marvin the fly starts at $(0,0).$ Each step, Marvin moves one unit right or one unit up. He is trying to get to the point $(5,7)$. However, at $(4,3)$ there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach $(5,7)$?
Answer:
The answer is "728 routes"
Step-by-step explanation:
The number of ways to proceed from (0, 0) to (5, 7) is as follows:
[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]
We would like to delete the ways of (0, 0) to (2, 3) That's the resolution:
[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]
[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]
Which number appears farther to the right on the number line?
Which graph represents y = -2x
Answer: Second Option, with a downward trend from left to right.
Step-by-step explanation:
We just have to find a graph that matches up with a slope of -2 or a rise/run of -2/1.
The graph represented by y = -2x is the graph in option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The equation, y = -2x is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
In the graph attached with the answer below it is observed that the line y = -2x is passing from the origin and covering the second and the fourth quadrant of the coordinate axis x and y.
It is also observed that the line y = -2x is passing from the point (0,0) then the y-intercept is zero for the equation.
Therefore, the graph represented by y = -2x is the graph in option B.
To know more about graphs follow
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plz answer asap its due today 3x + 2y is an example of
A. an algebraic expression
B, an algebraic equation
C. a numerical equation
D. a numerical expresstion
Answer:
A
Step-by-step explanation:
This isn't an equation because there is no = sign so we can eliminate B and C. Since this has variables in it it's algebraic so the answer is A.
Determine the constant of variation for the direct variation given.
2
1
1/2
Answer:
1/2
Step-by-step explanation:
The constant of variation is the same as the slope. From the graph, the slope is 1/2.
Answer:
I believe the answer is 2
One eighth of the students in
the class are in the school band.
What fraction of the total number
of students are not in the band?
Answer:
7/8 aren't in the school band
Homework help, one of the few I have
Answer:
x=11 solution is not extraneous
Step-by-step explanation:
sqrt( x-5) +7 = 11
Subtract 7 from each side
sqrt( x-5) +7-7 = 11-7
sqrt(x-5) = 4
Square each side
(sqrt(x-5))^2 = 4^2
x-5 = 16
Add 5 to each side
x-5+5 = 16+5
x = 21
Check
sqrt( 21-5) +7 = 11
sqrt(16) +7 =11
4+7 =11
11=11
Valid solution
Answer:
B) x = 21, solution is not extraneous
Step-by-step explanation:
√(x - 5) + 7 = 11
(√(x - 5) + 7) - 7 = 11 - 7
√(x - 5) = 4
(√(x - 5))² = (4)²
x - 5 = 16
(x - 5) + 5 = 16 + 5
x = 21
The solution is not extraneous. An extraneous solution is a solution that is not included in the domain. For this equation the domain would be [-5, ∞). The solution found is included in the domain
Find the common ratio for the geometric sequence for which a1=1 and a5=625
Answer:
r = 5
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r is the common ratio
Here a₁ = 1 and a₅ = 625, thus
1 × [tex]r^{4}[/tex] = 625 , so
r = [tex]\sqrt[4]{625}[/tex] = 5
The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a geometric sequence for which:
The first term a1 = 1
and fifth term:
a5 = 625
As we know, the geometric sequence follows a certain arithmetic rule of multiplication.
The nth term of the geometric sequence is:
a(n) = arⁿ⁻¹
a1 = a = 1
a5 = ar⁵⁻¹ = 625
Take the ratios:
a/ar⁵⁻¹ = 1/625
r is the common ratio.
1/r⁴ = 1/625
r⁴ = 625
r = 5
The common ratio is 5.
Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
Learn more about the sequence here:
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i really dont understand what to do here if you can please help
Answer:
see below
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x+60 + 3x-40 = 180
Combine like terms
8x +20 = 180
Subtract 20 from each side
8x+20-20=180-20
8x= 160
Divide by 8
8x/8=160/8
x=20
5x+60 = 5*20+60 = 160
3x-40 = 3*20-40 = 20