Answer:
[tex]x= 4[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{2x}}{\sqrt{x-2}\:}=2[/tex] [ bring √(x - 2) to the opposite side ]
[tex]\sqrt{2x} = 2\sqrt{x-2}[/tex]
[tex](\sqrt{2x} )^{2} = (2\sqrt{x-2})^2[/tex] [ square both sides ]
[tex]2x = 4(x-2)[/tex]
[tex]2x=4x-8[/tex]
[tex]2x - 4x = -8[/tex]
[tex]-2x = -8[/tex]
[tex]x= 4[/tex]
Answer:
x=4
Step-by-step explanation:
[tex]\dfrac{\sqrt{2x} }{\sqrt{x-2}}=2[/tex]
Multiply both sides by [tex]\sqrt{x-2}[/tex] :
[tex]\implies \sqrt{2x}=2\sqrt{x-2}[/tex]
Square both sides:
[tex]\implies 2x=4(x-2)\\\\\implies 2x=4x-8[/tex]
Add 8 to both sides:
[tex]\implies 2x+8=4x[/tex]
Subtract [tex]2x[/tex] from both sides:
[tex]\implies 8=2x[/tex]
Divide both sides by 4:
[tex]\implies x=4[/tex]
A polygon is broken up into 5 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?
pentagon
hexagon
heptagon
octagon
Answer:
It called c. Heptagon
Step-by-step explanation:
Answer:
it’s c :)
Step-by-step explanation:
because there no other Correct answers
Which expression represents"6 more than x"?
Answer: x + 6
Step-by-step explanation:
The expression that represents 6 more than x is x + 6.You can also rewrite this as 6 + x, but there is no need.
Please accept my friend request.
Also, Can I please get BRAINLIEST?
what are the solutions to this polynominal when s(x) =0 s(x) (3x^2 + 17x+10 )(x-7)(4x-3) enter your answers in the boxes, from least to greatest.
Answer:
-5, -2/3, 3/4, 7
Step-by-step explanation:
The solutions are solutions of one of the following:
(3x^2 + 17x + 10) = 0, x - 7 = 0, 4x - 3 = 0
The latter two are straightforward: x = 7 or 3/4.
To factor the first, note it must be of the form (3x + __) (x + __)
Check the pairs (10, 1) (1, 10) (5, 2) and (2, 5) and we find:
(3x + 2) (x + 5) = 0
So, we also have solutions -5, -2/3
Answer:-5,-2/3,3/4,7
Step-by-step explanation:
took quiz
Gizmos come in a carton. A carton holds 6 packages. Each package holds 10 small boxes. Each small box holds 12 gizmos. How many gizmos come in a carton?
Group of answer choices
720 gizmos
830 gizmos
640 gizmos
Answer:
720
Step-by-step explanation:
i used a calculator box = 12 gizoms 1 package =10 boxes
12x10 = 120. 120 x 6 = 720
In the triangle shown above, a = 16 cm, b= 12 cm, and c= 8 cm. What is the approximate measure of angle A?
A. 14.48°
B. 75.52°
C.65.56°
D.104.48°
Answer:
I think its A
Step-by-step explanation:
The approximate measure of angle A is 104.48 degrees. The correct option is D.
Given that:
a = 16 cm
b = 12 cm
c = 8 cm
To find the measure of angle A in the triangle, use the law of cosines.
The law of cosines states that for any triangle with sides a, b, and c, and the angle opposite side c, denoted as C:
c² = a² + b² - 2ab × cos(C)
In this case, we want to find angle A, which is opposite side a. So, the equation becomes:
a² = b² +c² - 2bc × cos(A)
Now, plug in the given values:
16² = 12² + 8² - 2 × 12 × 8 × cos(A)
256 = 144 + 64 - 192 × cos(A)
Now, isolate cos(A):
192 × cos(A) = 144 + 64 - 256
192 × cos(A) = -48
cos(A) = -48 / 192
cos(A) = -1/4
Now, to find the measure of angle A, take the inverse cosine (cos^-1) of -1/4:
[tex]A \approx cos^{-1(-1/4)}[/tex]
A ≈ 104.48 degrees.
So, the approximate measure of angle A is 104.48 degrees. The correct option is D.
Learn more about Angle here:
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PLS ANSWER AS SOON AS POSSIBLE
-a²-2ax-x²+49 I think this is the answer
how many 5 digit palindromic numbers have digits that add up to 14
Answer:
Step-by-step explanation:
It looks like 25, but I have to check it some more.
It looks like there are 25, but I can only give you the answer. I cannot give you a proof
Samples
12821
40604
51215
Anastasia Subscribe to a website for processing her digital pictures The subscription is $6.25 per month and 4-by -6 inches prints are $ 0.25 each how many prints dose Anastasia Purchase if the charge for January is $15.75 ?
total cost = 6.25 + 0.25 x
15.75 - 6.25 = 0.25 x
9.5 = 0.25 x
x = 38 prints
find average of first 5 multiples of 4
Answer:
Ans- The mean of first 5 multiples of 4 is 12.
Answer:
12Step-by-step explanation:
The first 5 multiples of 4 are:
4 , 8, 12, 16 and 20Their average is:
(4 + 8 + 12 + 16 + 20)/5 = 1215 points!!
I need 10-18 if you know any please help me out!!
Step-by-step explanation:
10.
angle QUR must be 180-41 = 139°
the reason : all angles on one side of the line QS around a single point (like U) must be 180°, as this represents a half-circle.
11.
the angle RUQ is larger.
the angle TUS is 90°.
therefore, SUN is 90° too. as well as TUQ and QUN.
the angle TUR is then TUS + 41 = 90+41 = 131°
and we know from 10. that QUR (or RUQ) is 139°.
therefore, RUQ is larger.
12.
when 2 lines cross, then the diagonally opposing angles are identical.
therefore,
84 = 4x
x = 21
13.
the same principle as in 10. applies.
all angles in one side of a line around a single point must be 180°.
so,
KMH + 84 = 180
KMH = 96°
14.
EBD = 90°
therefore, also ABE = 90°.
and we can imagine that BE extends straight to the other side of B having a point G there.
and then ABG = DBG = 90° as well.
and because these 90° angles and the principle of 12., we have
ABF = CBD = 90-62 = 28°
therefore,
CBE = CBD + DBE = 28 + 90 = 118°.
15.
ABF = 28°
as we calculated that in 14 already.
16.
due to the principles of 14 and 10 we have
CBA = 180 - CBD = 180 - 28 = 152°.
17.
this is not relevant to any of the pictures before.
angle A = angle B + 4
complementary angles are together 90°.
so,
A + B = 90
now we use the identity of the first equation in this main equation :
(B + 4) + B = 90
2B + 4 = 90
2B = 86
B = 43°
=>
A = B + 4 = 43 + 4 = 47°
18.
again, this is not related to any of the pictures before.
supplementary angles are together 180°.
D = 5E
D + E = 180
5E + E = 180
6E = 180
E = 30°
=>
D = 5E = 5×30 = 150°
A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles. What is the probability of exactly seven out of the next eight tires lasting over 3,000 miles?
(Round your answer to three decimal places.)
Answer:
A manufacturing corporation make tires with a probability 0.77 of lasting over 3,000 miles.
Step-by-step explanation:
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be 0.32.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(X =x) = \: ^nC_x \ p^x(1-p)^{n-x}[/tex]
A manufacturing corporation make tires with a probability 0.79 of lasting over 3,000 miles.
The probability of exactly seven out of the next eight tires lasting over 3,000 miles will be
P(x = 7) = ⁸C₇ (0.79)⁷ (1 – 0.79)⁽⁸⁻⁷⁾
P(x = 7) = 0.32
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which binomial must be added to (-2r+12) so the the sum of 2 polynomial is (6r-7)
a.) 4r-19
b.) 4r+5
c.) 8r-19
D.)8r+5
Answer:
c) 8r - 19
Step-by-step explanation:
Subtract 6r - 7
- -2r + 12
= 8r - 19
Answer:8r-9 or c
Step-by-step explanation:
PLEASE PLEASE HELP AND PLEASE
Answer:
Step-by-step explanation:
Part A is -6
Because 7 - 13 is -6 so at 9 am it was -6 degrees
Part B is -7.5 degrees
Because 6 x -1.25 = -7.5
Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab
Step-by-step explanation:
add like term
follow the process and answer is there
8. A study found that 72% (0.72) of people wear their seat belts? If three people
are selected at random, what is the probability that all three people wear their
seat belts?
Answer:
0.373248
Step-by-step explanation:
P(A and B) = P(A) * P(B)
Let's say one person wearing a seat belt is event A, the second person wearing a seat belt is event B, and the third person wearing their seat belt is event C
P(A and B and C) = P((A and B) and C) = (P(A) * P(B)) *P(C) = P(A) * P(B) * P(C)
The probability of each is 0.72. Our answer is therefore 0.72 * 0.72 * 0.72, or 0.72³ = 0.373248
I need help on question 16
Answer:
more than 22
Step-by-step explanation:
last year average 21points per game
so they need at least 22 points per game to be better than last year average
to get 22 points per game average (for the first three game)
they need to score total = 22 × 3 games = 66 points
then, minus total score they need to goal
66 - 14 -30
= 22 point more to score
Please answer the question the file is attached below and please answer fast
Answer:
y = -4x + 5
Step-by-step explanation:
choose 2 easy-to-read points on the line: (0, 5) and (2, -3)
Because we have chosen the point that intersects the y-axis (0, 5) we know that the y-intercept of the line is 5.
Using equation of a line in slope-intercept form: y = mx + b (where m is the slope and b is the y-intercept):
The slope of the line = change in y ÷ change in x = (-3 - 5) ÷ (2 - 0) = -4
Therefore, y = -4x + 5
SUBTRACT THE FOLLOWING POLYNOMIALS.
1. 2a²b²–(-4a²b²)=
2. 3z–5z–(-6z)=
3. 3m–(4m)=
I think this may be what you are looking for
how many distinct ways can the letters in accounting be arranged
Answer:
4 times
Step-by-step explanation:
I tried to see many ways as possible
After earning your first $1000, you deposit the whole amount—$1000—into an account that grows at an interest rate of 12% annually. The earned interest is calculated and added to the account once a year.
Which function represents the amount of money in the account after t years?
(Assume that you do not make any additional deposits or withdrawals.)
Answer:
b f(t)=1000(0.12)ť
Step-by-step explanation:
Also that 1000 dollars will be 1,120 because of interest
anyone know the answer to this?
Answer:
0.99.Step-by-step explanation:
Remove the decimal point.
Then, divide.
I'll show you an image.
A deck is shaped like a parallelogram with a base length of 27 feet and a height of 11 feet. A can of wood stain will cover 40 square feet.
How many cans of stain will be needed to stain the deck?
Enter your answer in the box.
From the area of the parallelogram, it is found that 8 cans of stain will be needed to stain the deck.
What is the area of a parallelogram?The area of a parallelogram of base length l and height h is given by:
A = lh
In this problem, the dimensions are l = 27, h = 11.
Hence, the area, in square feet, is given by:
A = 27(11) = 297.
Each can cover 40 square feet. How many cans are needed for 297 square feet?
[tex]n = \frac{297}{40} = 7.425[/tex]
Rounding up, 8 cans of stain will be needed to stain the deck.
To learn more about the area of a parallelogram, you can take a look at https://brainly.com/question/17540452
Answer: 8 cans
Here's Proof
3k - 2 = 10
Evaluate the expression
Answer:
k = 4
Step-by-step explanation:
3k - 2 = 10
3k - 2 + 2 = 10 + 2
10 + 2 = 12
3k = 12
3k/3 = 12/3
k = 4
Find the length of a rectangle given that the perimeter is 32 feet and the length is 1 foot more than four times the width.
Answer:
Length = 13
Step-by-step explanation:
P = 2L + 2W
L = 4W + 1
P = 32
32 = 2(4W +1) + 2W
32 = 8W + 2 + 2W
30 = 10W
W = 3
L = 4(3) + 1
L = 12 + 1
L = 13
Mason playing board games he would like to design games has a Job Center, Mason has decided to make his own board his game uses around spinner Mason divides the spinner into eight equal Spaces Mason favorite color and leave the other six pieces of white what fraction of the spinner does mason paint his favorite color
Answer:
I think the answer is for the color of the spinner is black because i think most og the color is white 6/8 and black is 2
2/8
Step-by-step explanation:
I NEED HELP WITH THESE 2 QUESTIONS ASAP!
Answer:
a) 2, 4, 8, 32, 60
b) 2, 4, 32, 64, 120
Step-by-step explanation:
a)The numerator is 1/2 the denominator, or the denominator is 2 times the numerator.
[tex]\dfrac{1}{2}=\dfrac{2}{4}=\dfrac{4}{8}=\dfrac{8}{16}=\dfrac{16}{32}=\dfrac{30}{60}[/tex]
__
b)The numerator is 1/4 the denominator, or the denominator is 4 times the numerator.
[tex]\dfrac{1}{4}=\dfrac{2}{8}=\dfrac{4}{16}=\dfrac{8}{32}=\dfrac{16}{64}=\dfrac{30}{120}[/tex]
PLEASE I NEED HELP!! ∠WXY and ∠ZXY are supplementary angles. Find the value of m.
Answer:
m=70°
Step-by-step explanation:
*∠WXY and ∠ZXY are supplementary angles (180°)*
110°+m=180°
110°+m-110°=180°-110°
m=70°
Hope it helps!
the abscissa of a point is -6 and its distance from the point (1,3) is √74. find the ordinate of the point
[tex]\huge\fbox{Answer ☘}[/tex]
we know that ,
• absicca of a point = x - coordinate of that point
• ordinate of a point = y - coordinate of that point
therefore , let the point be A( -6 , y )
also ,
we're given an another point , i.e. ,
B( 1 , 3 )
[tex]distance \: between \: the \: two \: points = \sqrt{74} \\ \\ \sqrt{( x_{2} - x_{1}) {}^{2} \: + ( y_{2} - y_{2}) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(1 - ( - 6)) {}^{2} + (3 - y) {}^{2} } = \sqrt{74} \\ \\ \sqrt{(7) {}^{2} + (9 + y {}^{2} - 6y)} = \sqrt{74} \\ \\ \sqrt{49 + 9 - y {}^{2} - 6y} = \sqrt{74} \\ \\ ✯\:\:\bold\blue{squaring \: both \: sides} \\ \\ 49 + 9 - y {}^{2} - 6y = 74 \\ \\ - y {}^{2} - 6y + 58 = 74 \\ \\ y {}^{2} + 6y - 58 = - 74 \\ \\ y {}^{2} + 6y - 58 + 74 = 0 \\ \\ y {}^{2} + 6y - 16 = 0 \\ \\ y {}^{2} + 8y - 2y - 16 = 0 \\ \\ y(y + 8) - 2(y + 8) = 0 \\ \\ (y + 8) = 0 \: \: and \: \: (y - 2) = 0 \\ \\ y = - 8 \: \: or \: \: y = 2[/tex]
therefore , the ordinate of point A is either ( -8 ) or ( 2 )
hope helpful~
A class has 7 boys and 10 girls. Select all associated ratios for this class. ( select more than 1 please )
10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7
Answer:
7:10
Step-by-step explanation:
The ratio of boys to girls is 7 to 10
What is
21.9% of 44,700
Answer:
9,789.30
Step-by-step explanation:
44,700 x .219 = 9,789.30