Answer:
The distance between midpoint of AP and QB is [tex]\frac{5a}{8}[/tex].
Step-by-step explanation:
Given that: AB = a
AP = 2PQ = 2QB
Thus,
PQ = QB = [tex]\frac{a}{4}[/tex]
PQ + QB = [tex]\frac{a}{4}[/tex]+ [tex]\frac{a}{4}[/tex]
= [tex]\frac{a}{2}[/tex]
AP = [tex]\frac{1}{2}[/tex] a = [tex]\frac{a}{2}[/tex]
The distance between midpoint of AP and QB can be determined as;
[tex]\frac{AP}{2}[/tex] + PQ + [tex]\frac{QB}{2}[/tex]
= [tex]\frac{a}{4}[/tex] + [tex]\frac{a}{4}[/tex] + [tex]\frac{a}{8}[/tex]
= [tex]\frac{2a+2a+a}{8}[/tex]
= [tex]\frac{5a}{8}[/tex]
Therefore, the distance between midpoint of AP and QB is [tex]\frac{5a}{8}[/tex].
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.
Answer:
1/4
Step-by-step explanation:
# of black marbles/ total # of marbles
3/(3+4+5)
3/12
1/4
Answer:
1/4
Step-by-step explanation:
3 black marbles, 4 white marbles and 5 striped marbles. = 12 marbles
P(black) = number of black / total
=3/12
=1/4
Solve 27 = 3^4x + 1? a) 1/4 b)1/2 c)2 d)4
Answer:
[tex]x=1/2[/tex]
Step-by-step explanation:
[tex]27 = 3^{4x+1}[/tex]
[tex]3^3 = 3^{4x+1}[/tex]
[tex]3=4x+1[/tex]
[tex]2=4x[/tex]
[tex]2/4=x[/tex]
The value of x in the given equation is 1/2
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is an equation, [tex]27 = 3^{4x+1}[/tex]
Solving for x,
3³ = [tex]3^{4x+1}[/tex]
Therefore,
3 = 4x+1
4x = 2
x = 2/4
x = 1/2
Hence, the value of x in the given equation is 1/2
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Enter a positive common favor (other than 1) of the fractions numerator and denominator
Answer:
7
Step-by-step explanation:
You can divide both 14 and 21 by seven and get a whole number.
Answer:
7
Step-by-step explanation:
hope this helps
Multiply and simplify the product. 2i(4 – 5i) Select the product. –2i 2i –10 + 8i 10 + 8i
Answer:
10 + 8i
Step-by-step explanation:
noting that i² = - 1
Given
2i(4 - 5i) ← distribute the parenthesis
= 8i - 10i² = 8i - 10(- 1) = 10 + 8i
Answer:
D, 10+8i
Step-by-step explanation:
Look at image please !
Answer: The answer is A. (1, 4)
Step-by-step explanation:
Daniel earned 32 points on a test. If those
32 points were 80% of the total, how
many total points were there?
Answer:
40 points
Step-by-step explanation:
32 points = 80% or 4/5
if you divide 32 by 4, you get 8+8+8+8=32
that means you need to add 8 to 32 to get the total number of points
Find the length of the missing side of the triangle shown below. Round to the nearest tenth, if necessary.
Answer:
x=8in
Step-by-step explanation:
Let the unknown side=xin
Hypotenuse^2=opposite^2+adjacent^2
Hyp=17in
Opp=xin
Adj=15in
Hyp^2=opp^2+adj^2
17^2=x^2+15^2
17^2-15^2=x^2
289-225=x^2
64=x^2
x=√64
x=8in
PLS HELP ME WITH GEOMETRY
Answer:
(3, -7) and (1, 2) are solutions to the equation
Step-by-step explanation:
Simply replace the (x, y ) pair of values in the equation and see if the equality holds:
Pair (0, -8) :
9 (0) + 2 (-8) = -16 therefore this pair is NOT a solution of the equation
Pair (3, -7):
9 (3) + 2 (-7) = 27-14 = 13 therefore this pair IS a solution of the equation
Pair (1, 2):
9 (1) + 2 (2) = 9 + 4 = 13 therefore this pair IS a solution of the equation
Pair (4, -5):
9 (4) + 2 (-5) = 36 - 10 - 26 therefore this pair is NOT a solution of the equation
x-(-5) = -23
X=
Answer here
Answer:
[tex]x=-28[/tex]
Step-by-step explanation:
[tex]x+5=-23\\x=-23-5\\x=-28[/tex]
Answer:
x = -28
Step-by-step explanation:
x-(-5) = -23
Subtracting a negative is adding
x+5 = -23
Subtract 5 from each side
x+5-5 = -23-5
x = -28
Solve. x^2 + 3x - 7=0. Enter your answers, as exact values, in the boxes. X= or x=.
Answer:
Use the quadratic formula
x = [-b +- sqr root (b^2 - 4*a*c)] / 2a
x = [-3 +- sqr root (9 - 4*1*-7)] / 2
x = (-3 +- sqr root (37) / 2
x1 = 1.5414
x2 = -4.5414
Step-by-step explanation:
Answer:
I just took the test here's the answer
Step-by-step explanation:
Jessie is building a ramp for loading motorcycles onto a trailer. The trailer is 2.8 feet
off of the ground. To avoid making it too difficult to push a motorcycle up the ramp,
Jessie decides to make the angle between the ramp and the ground 15°. Find the
length of the ramp. Round your answer to the nearest tenth of foot.
Answer:
5.9 your welcome
Step-by-step explanation:
Answer:
Step-by-step explanation:
For which of the following situations would the order that items are chosen not matter? Finding the number of ways to choose a carrot and broccoli out of 10 vegetables. Finding the number of ways to choose Al, Bob, and Carl out of a class of 30 students. Finding the number of ways to choose 2 vegetables out of 10. Finding the number of ways to choose 3 students out of a class of 30. Finding the number of ways to choose 4 letters out of 12.
Answer:
yes
Step-by-step explanation:
Answer: Finding the number of ways to choose 4 letters out of 12
Step-by-step explanation:
The two situations above didn’t even mention letters. One situation mentioned carrot and broccoli out of 10 vegetables. The other situation mentioned Al, Bob and Carl out of a class of 30 students.
The number of letters (4) out of total letters (10) doesn’t matter because it wasn’t one of the two previously mentioned situations.
Can someone please tell me which option?!?
Answer:
I’m pretty sure it the third one
Step-by-step explanation:
What are the next two terms in this sequence: 3.4, 4.5, 5.6, 6.7, 7.8,__, __? 1) 8.9, 9.10 2) 8.9, 10.0 3) 7.9, 9
M is the midpoint of segment VW. Find the value of x.
The midpoint is represented as M and the value of x of the line is x = 4
Given data:
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
Measure the distance between the two end points, and divide by 2.
Let V ( x₁ , y₁ ) be the first point
Let W ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
The points on the lines are represented by ( 4x - 1 ) and ( 3x + 3 )
So, the points are in same distance from V and W
And, 4x - 1 = 3x + 3
x = 4
Hence, the point x = 3
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Please help the following questions
Answer:
Question 4. Option C,
Question 5. Option A
Step-by-step explanation:
Question 4.
Take a look at the procedure below;
[tex]34 / 5 = x / 6,\\34 * 6 = 5 * x,\\204 = 5 * x,\\\\x = 40.80\\\\Conclusion - Option C[/tex]
To solve this problem, you could have to cross - multiply, and through simple algebra, isolate x.
Question 5.
If Becky charges an amount per hour per baby, to determine the total amount she would earn, multiply the number of hours by the number of babies taken care of, and multiply that amount by the cost she demands per hour per baby;
[tex]Children = 3,\\Hours = 5,\\Amount Charged = 7,\\\\Profit = 3 * 5 * 7 = 105 Dollars,\\\\Conclusion - Option A[/tex]
simplify (√5+4)(√5-2) A)-3+2√5 B)3+2√5 C)-2+3√5
Answer:
A
Step-by-step explanation:
[tex](x + y)(a - b) = xa - xb + ya - yb[/tex]
(√5+4)(√5-2) =
= [tex]( {\sqrt{5})}^{2} - 2 \sqrt{5} + 4 \sqrt{5} - 8[/tex]
= [tex]5+ 2 \sqrt{5} - 8[/tex]
= [tex] - 3+ 2 \sqrt{5} [/tex]
Hope this helps ^-^
Solve for x: z(14x−2y)=7 if z equals 0 Solve for x: z(14x−2y)=7 if z does not equal 0
Answer:
[tex]z = 0[/tex]; x doesn't have a solution[tex]z\neq 0[/tex]; [tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]Step-by-step explanation:
Given
[tex]z(14x -2y)=7[/tex]
Required;
Solve for x, when
[tex]z = 0[/tex][tex]z\neq 0[/tex][tex]z(14x -2y)=7[/tex]
Divide both sides by z
[tex]\frac{z(14x -2y)}{z} = \frac{7}{z}[/tex]
[tex]14x -2y = \frac{7}{z}[/tex]
Add 2y to both sides
[tex]14x -2y + 2y= \frac{7}{z} + 2y[/tex]
[tex]14x = \frac{7}{z} + 2y[/tex]
Divide both sides by 14
[tex]\frac{14x}{14} = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]
[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]
The above expression is the value of x when [tex]z\neq 0[/tex]
To solve for when z = 0, we simply substitute 0 for z
[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]
[tex]x = \frac{1}{14}(\frac{7}{0} + 2y)[/tex]
0 cant't divide any number; hence, from the above expression we conclude that
[tex]x = \ u\ n\ d\ e \ f\ i \ n\ e\ d[/tex]
or
x doesn't have a solution
I know 8C5=56 but I tried using the formula but I dont get 56 for my answer can someone pls explain how to work it out. 10 POINTS
Answer:
The combination formula is 8! / (8-5)! * 5!
= 8! / 3! * 5!
= 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1/ 3 * 2 * 1 * 5 * 4 * 3 * 2 * 1 (expand)
= 8 * 7 * 6 / 3 * 2 * 1 (5 * 4 * 3 * 2 * 1 cancels on both sides)
= 8 * 7 = 56 (3 * 2 * 1 = 6)
HELP PLEASE WIll GIVE A GOOD VOTE
Answer:
d) √2/2
Step-by-step explanation:
cos∠E= 5/5√2= 1/√2=√2/2
Correct option is d)√2/2
which set of measurement could be the interior angle measures of a triangle??
Answer:
D
Step-by-step explanation:
For the inverse variation equation p=8/V, what is the value of V when p=4?
Answer:
for the inverse variation equation p = 8/v, the value of v when p= 4 is 2.
15 times x = 45 solve for x and i will be marking as brainliest for the first/correct answer
Step-by-step explanation:
15 x =45
x = 45/15
x= 3 ans
Answer: x = 3
Step-by-step explanation:
15x = 45
x = 45/15 = 3
PLEASE HELP!!! Pleasee :C
Answer:
The error was in step 3
Step-by-step explanation:
The first two steps are correct, the property of addition of internal angles of a triangle that equal [tex]180^o[/tex] is properly used, Also the addition of supplemental angles to total [tex]180^o[/tex] is also properly used.
In step 3. there is an error. Notice how it should have been done:
[tex]\angle m+\angle n +\angle o=180^o\\\angle o + \angle p = 180^o\\then:\\\angle m+\angle n +\angle o=180^o=\angle o+\angle p\\\angle m+\angle n +\angle o=\angle o+\angle p[/tex]
PLZ HELP NEDD IT RN!
The ____________ is the average distance of all the data values from the mean of the data.
quartile
interquartile range
mean absolute deviation
bias
Answer:
Your answer is mean absolute deviation.
Step-by-step explanation:
Write an equation that shows the relationship between cost in dollars (y) and weight (x).
x 2 3 4 6 y 13 19.5 26 39
Answer:
y=7
that should be right
(08.02 MC)What is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? 1 2 6 7 please answer in one minute please i am marking brainliest
Answer:
[tex]M.A.D = 1[/tex]
Step-by-step explanation:
Given
9, 7, 6, 8, 7, 5
Required
Mean Absolute Deviation
The first step is to calculate the mean of the given data;
[tex]Mean = \frac{\sum{x}}{n}[/tex]
where x = 9, 7, 6, 8, 7, 5 and n = 6
[tex]Mean = \frac{9+ 7+ 6+ 8+ 7+ 5}{6}[/tex]
[tex]Mean = \frac{42}{6}[/tex]
[tex]Mean = 7[/tex]
Subtract mean (7) from each data
[tex]9 - 7 = 2\\7 - 7 = 0\\6 - 7 = -1\\8 - 7 = 1\\7 - 7 = 0\\5 - 7 = -2[/tex]
Return the absolute values of each
[tex]|2| = 2\\|0| = 0\\|-1| = 1\\|1| = 1\\|0| = 0\\|-2| =2[/tex]
Calculate mean of the above absolute values
[tex]Mean = \frac{\sum{x}}{n}[/tex]
[tex]Mean = \frac{2+0+1+1+0+2}{6}[/tex]
[tex]Mean = \frac{6}{6}[/tex]
[tex]Mean = 1[/tex]
Hence, the mean absolute deviation of the given data is 1
The tree diagram shows the possible outcomes of tossing a coin and spinning a spinner.
How many outcomes result in a number greater than 1 on the spinner?
1
2
3
4
Answer:
The number of outcomes that will result of more than 1 on the spinner is 3/4The required number of outcomes is 4 and the last option is correct.
Important information:
Tree diagram shows the possible outcomes of tossing a coin and spinning a spinner.Number of Outcomes:From the given tree diagram, it is clear that the total number of outcomes is 6.
The numbers greater than 1 on the spinner are 2 and 3.
The outcomes that result in a number greater than 1 on the spinner are:
heads, 2
heads, 3
tails, 2
tails, 3
Therefore, the required number of outcomes is 4 and the last option is correct.
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Is it possible to draw a quadrilateral that is not a parallelogram but has 1 pair of parallel sides?
Answer:
No
Step-by-step explanation:
Because thats the rule of Math
Answer:
A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram
Step-by-step explanation:
find the area shaded in yellow
Answer:
Step-by-step explanation:
You'll do height by width. Or base by height.
So let's say 6 cubes by 11 cubes.
A = 66.
Others, please correct me if I'm wrong.