Answer:
a. 457 pixels b. 229 pixels c. 114 pixels
Step-by-step explanation:
a. Using d = √[(x₂ - x₁)² + (y₂ - y₁)²] to find the distance apart of the coordinates (x₁, y₁) and (x₂, y₂) where (x₁, y₁) = (36, 315) and (x₂, y₂) = (410, 53).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(410 - 36)² + (53 - 315)²]
= √[374² + 262²]
= √[139,876 + 68,644]
= √208,520
= 456.64
= 457 pixels to the nearest pixel.
b. Since the players are d' distance apart, and moving at a same speed of v, if they approach each other, they meet at time t. So player A covers a distance of d = vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when vt = d' - vt.
Solving this, we have
vt = d' - vt
vt + vt = d'
2vt = d'
t = d'/2v
Substituting t into d = vt, we have
d = vt
= v(d'/2v)
= d'/2
= 457/2
= 228.5
≅ 229 pixels to the nearest pixel
c. Since the players are d' distance apart, and player A moves at a speed three times that of player B, if player B moves with speed v, then player A moves with speed 3v, as they approach each other, they meet at time t. So player A covers a distance of d = 3vt. For them to meet, player B approaches and covers a distance of d = d' - vt. So they meet when 3vt = d' - vt.
Solving this, we have
3vt = d' - vt
3vt + vt = d'
4vt = d'
t = d'/4v
Substituting t into d = vt, we have
d = vt
= v(d'/4v)
= d'/4
= 457/4
= 114.25
≅ 114 pixels to the nearest pixel
10. Solve for A, rounding to the nearest degree:
tan A = 1.456
Karen tiene $ 25 en su cuenta de ahorros. Si ahorra $ 15 cada semana, ¿cuánto dinero tendrá en su cuenta después de 9 semanas?
Answer:
$160
Step-by-step explanation:
1 5
× 9
-----------------
1 4
1 3 5
135+25
=160
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in
2 hours. Who hikes more quickly?
Julio hikes the first 1/2 mile of the trail in 1/4 hour.
Answer:
Julio hikes more quickly.
An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?
Answer:
The measures of the other interior angles are 15° and 105°
Step-by-step explanation:
The given parameter of the measures of the interior angles of the triangle are;
The measure of one of the interior angle of the triangle = 60°
The ratio of the measure of the other interior angles = 1 : 7
Let the x represent one of the other interior angles and y represent the third interior angle, we have;
x + y = 180 - 60 = 120
x : y = 1 : 7
x = 1 part of 8 parts of 120°
y = 7 parts of 8 parts of 120°
Therefore;
x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°
x = 15°
y = 7/(1 + 7) = 7/8 × 120° = 105°
y = 105°
The measures of the other interior angles are 15° and 105°.
find the slope of the line going through the points (10,8) and (8,36) enter your answer in simplest form
Answer:
-14x
Step-by-step explanation:
(y2-y1)/ (x2-x1)
(36-8)/(8-10) = 28/-2 = -14
Which expression is equivalent to 3n+2(1-4n)?
A. 2-n
B. 2-5n
C. 2+11n
D. 2-11n
Answer:
The Answer is B. 2-5n
Step-by-step explanation:
Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n
Then combine like terms which are +3n and -8n which leaves you with -5n
Proving the Parallelogram Diagram Theorem
Given: ABCD is a Parallelogram. Diagonals AC,BD intersect at E.
Prove AE = CE and BE =DE
THE AWNSWERS ARE IN THE PICTURE FROM 4 DOWN SOME POSTED A PICTURE WITH THE 4 UP HERE TO HELP :)
Answer:
Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here
AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.
What is a parallelogram?'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'
According to the given problem,
ABCD is a parallelogram.
We know,
BC ║ AD and BC ≅ AD
From, the properties of a parallelogram,
∠CBD = ∠ADB
∠BCA = ∠DAC
We know, two lines are parallel and alternate interior angles of the parallelogram are equal.
Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)
Therefore, AE ≅ CE ( The properties of congruent triangles )
BE ≅ DE ( The properties of congruent triangles )
Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.
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Which row of Pascal’s triangle would you use to expand (2x + 10y)15? row 10 row 12 row 15 row 25
Answer:
Row 15 is correct
Step-by-step explanation:
Pascal's triangle:
1 n = 0 , Row = 0
1 1 n = 1 , Row = 1
1 2 1 n = 2 , Row = 2
:
.........
.......
For n = 0, Row number 1
For n = 1, Row number 2
For n = 2, Row number 3
We make pascal's triangle but sum of above two number, write below.
As we can see in pascal's triangle.
Exponent represent the number of row.
If binomial has exponent n then nth row of pascal's triangle use.
For
Here power is 15
So, we have to use 15 row of pascal's triangle.
Hence, Row 15 is correct
Answer:
the second part is 16
Step-by-step explanation:
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what percentage of the armadillos are between 13 and 17 years old? 20.33% 49.38% 47.62% 79.05%
Answer:
20.33%
Step-by-step explanation:
Answer:
D) 79.05%
Step-by-step explanation:
I JUST TOOK DA TEST
All of the following would be evidence that you do not have a normal distribution except:
A. the presence of multiple modes
B. the fact that 75% of the observations have a value below the mean
C. a normal quantile plot suggests an obviously curved line
D. the likelihood for all values of x is the same
E. none of the above.
will mark brainliest :)
None of the above given statements are the evidence that you do not have a normal distribution.
What is Normal distribution?A function that represents the distribution of many random variables as a symmetrical bell-shaped graph.Mathematically, we can write the probability density function as -[tex]$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}[/tex]
where -
f(x) : probability density function
σ : standard deviation
μ : mean
Given are the statements regarding the normal distribution.
Of the given statements, none of the above are the evidence that you do not have a normal distribution
Therefore, none of the above given statements are the evidence that you do not have a normal distribution.
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Help please it’s needed
Answer:
The reasonings I provided are just examples (they are true, though!). Hope this helps!
The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.
(A) 1.8
(B) 2
(C) 8/9
mn/6 + 10; use m = 7, and n = 6
Answer:
2.62500
Step-by-step explanation:
just use a calculator
The value of the expression mn/6 + 10 at m = 7 and n = 6 is 17.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as follows,
mn/6 + 10
Its value can be found at m = 7 and n = 6 as follows,
mn/6 + 10
= (7 × 6)/6 + 10
= 7 + 10
= 17
Hence, the value of the given expression at m = 7 and n = 6 is 17.
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simplify 6-12b divided by 3a-6ab
Answer:
[tex]\frac{2}{a}[/tex]
Step-by-step explanation:
Given
[tex]\frac{6-12b}{3a-6ab}[/tex] ← factor both numerator and denominator
= [tex]\frac{6(1-2b)}{3a(1-2b)}[/tex] ← cancel common factor (1 - 2b) on numerator/denominator
= [tex]\frac{6}{3a}[/tex] ← cancel 6 and 3 by 3
= [tex]\frac{2}{a}[/tex]
PLEASE HELP!!!
Select all that apply. Which of the following statements are true of this equation? Select all that apply. 5 1/6 divided by 2 5/12 = 2 4/29
The dividend is 5 1/6
The divisor is 5 1/6
The dividend is second number in this equation.
The quotient is correct.
Answer:
2.137931034
Step-by-step explanation:
Just divide it using a calculator, although I don't know how to convert it into a fraction. Sorry!
Help plz idc who.... Thx:)
7/12 of a foot = how many inches
Answer:
Required Answer:-As we know that
[tex]\sf 1 \:Foot=12inches [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{12}}\:of \; 12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{{\cancel {12}}}}\times{\cancel { 12 }}[/tex]
[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf 7inches}}}[/tex]
Please help its my last question and I really need to submit this right about now. I’m not sure what the answer is and how I do it
Answer:
I legit answered this its 6/10
Edit: y = -6/10x + 100
Step-by-step explanation:
Change in y over change in x
60/100
6/10
How much does a customer pay for an article marked at $50 if a sales tax of 6% is charged?
Answer:
53$
Step-by-step explanation:
6% of 50 is 3, 50+3=53
3. Macys is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bil total after applying the discount of 35%?
Answer:
43.575
Step-by-step explanation:
124.50×.35=43.575
How do you solve the equation above using substitution? Please show work :)
Answer:
the solution is (21/2, 19/2)
Step-by-step explanation:
The first equation, x = y + 1, has already been solved for x. We can eliminate x in the second equatin by substituting y + 1 for x:
y = -(1/3)(y + 1) + 6
Let's eliminate fractions by multiplying all three terms by 3:
3y = y + 1 + 18
Combining like terms results in:
2y = 19, so that y = 19/2.
Substituting this 19/2 for y in the first equation, we get:
19/2 + 2/2 = x, or
x = 21/2
Thus the solution is (21/2, 19/2)
19
For every 1 litre of water used to make a medicine, 200 ml of sucrose and 300ml of saline
solution are used. Express the amount of water, sucrose and saline solution needed as a ratio
in its simplest form.
Answer:
10:2:3
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
Answer:
10 : 2 : 3
Step-by-step explanation:
Water used = 1 litre = 1000ml
Sucrose used = 200ml
Saline used = 300ml
Ratio:
1000 : 200 : 300
10 : 2 : 3
The amount of water, sucrose and saline solution as a ratio = 10 : 2 : 3
what is 62.686 in expanded form
Answer:
60 + 2 + 0.6 + 0.08 + 0.006
Step-by-step explanation:
you break it up into columns and whatever is before it becomes a 0 as a place holder.
i hope this helps :))
The difference between (4 tens 12 tenths and 25 hundredths) and (3 tens 14 tenths and 45 thousandths) is
Please Factor x^2 +25.
Answer (it stays the same):
[tex]x^{2} + 25[/tex]
I hope this helps!
What is HB? Triangle Mid-segment Theorem
Answer:
HB = 13
Step-by-step explanation:
In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.
Therefore by Mid-segment Theorem.
[tex]AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}[/tex]
Help me find Z in the diagram
Answer:
z=68°
Step-by-step explanation:
z is congruent to the given angle
hopefully this helps :)
Answer:
z = 56°
Step-by-step explanation:
Since the 2 sides are congruent then the triangle is isosceles, thus
The base angles are congruent, then
z = [tex]\frac{180-68}{2}[/tex] = [tex]\frac{112}{2}[/tex] = 56°
Sorry but need help again! 10 points and if two people answers brainiest goes to first!! :)
Answer:
B. Domain is left to right so the left point is solid on 2 and the right is solid on 8. The solid point means it can also be equal to.
Answer:
B) {x : 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8 }
Step-by-step explanation:
The function of the graph's x values are between 2 and 8, but the dots at the ends of the function are closed, hence the answer is
2 [tex]\leq[/tex] x [tex]\leq[/tex] 8
value expressions-10-(-4)=
Answer:
6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
-10 - (-4)
-10 + 4 = -6
this is just to understand it more:
10 negatives
- - - - - - - - - -
+ + + +
4 positives
the 4 positives cancel out the 4 negatives which leave you with 6 negatives left -6 is the answer
1. Stacey earns $15 each week plus 5.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can
she use to find the number of customers she needs to make exactly $25?
Step-by-step explanation:
Let the no. Of customers be N.
25 = 15 + 5.5N
This is the required eqn.
Stacey can use the formula, 25 = 15 + 5.50x to find out the number of customers she needs to make $25 weekly.
Stacey makes $15 in a week without having any customers. She will however, make $5.50 for every customer on her paper route.
The expression for the amount she makes per customer and assuming the number of customers is represented by x is therefore:
= Amount per customer × Number of customers
= 5.50 × x
= 5.50x
When this is added to the amount she makes without customers it is:
= 15 + 5.50x
Stacey wants to make $25 per week using the above expression so the full expression would be:
25 = 15 + 5.50x
In conclusion, Stacey can find the total number of customers she needs to make $25 per week by the expression 25 = 15 + 5.50x.
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ANSWER ASAP PLS
There are 21 boys and 6 girls in Mr. Sams homeroom. What is the ratio of girls to boys? (in simplest form)
ill make u brainliest
Answer:
21/6 can be divided by 3, so 7/2
7/2 cannot be divided into any more shared factors, so final answer is 7:2.