Answer:
side lengths are 96 for HI and PQ and 64 for IJ and RQ
hypothenuse is 115
Step-by-step explanation:
delta HIJ = delta PQR
HI = PQ --> 3x = x + 64
divide both sides by x --> 3 = x/x + 64/x *x/x = 1
3 = 1 + 64/x subtract both sides by 1
2 = 64/x --> 2x = 64 divide both sides by 2
x = 32
IJ = RQ --> x + 32 = 2x
divide both sides by x
1 + 32/x = 2 (again, x/x = 1)
subtract both sides by 1
32/x = 1
x = 32
plug in 32 for x to get the side lenghts
so 3(32) = 96
and 32 + 32 = 64
use equation a^2 + b^2 = c^2
96^2 + 64^2 = c^
9216 + 4096 = c^2
13312 = c^2 square root 13312
c = 115.378
20 plants were measured and their heights recorded in cm. Here are the heights: b) Draw a fre 8.2 6.5 2.7 19.4 to represe 16 14.1 17.1 14 8 4.9 2.9 15.5 7.3 15 4.4 11.8 13.9 7 10.2 4.6 19.5 7.3 6 . Ол о a) Complete the frequency table. Height, h cm Frequency 0
The required frequency table as
Heights, h cm Frequency
0 < h ≤ 5 5
5 < h ≤ 10 4
10 < h ≤ 15 6
15 < h ≤ 20 5
What is the frequency of an observation?The frequency of a variable value is the number of times it appears in a particular observational series or data.
A variable's frequency is always a positive integer.
Here the heights in the condition of 5 < h ≤ 10 appear as 4.
Here the heights in the condition of 10 < h ≤ 15 appear as 6.
Here the heights in the condition of 15 < h ≤ 20 appear as 5.
The required frequency table as
Heights, h cm Frequency
0 < h ≤ 5 5
5 < h ≤ 10 4
10 < h ≤ 15 6
15 < h ≤ 20 5
Thus, the required frequency table of the given observation is above.
Learn more about the frequency of an observation here:
https://brainly.com/question/5102661
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A food truck sells tacos, burritos, and drinks.
Let event A = A customer buys a taco.
Let event B = A customer buys a drink.
What does PA or B) = 0.55 mean in terms of this problem?
A. The probability that a customer buys both a taco and a drink is
55%.
B. Buying a taco and buying a drink are mutually exclusive events.
C. The probability that a customer buys neither a taco nor a drink is
55%.
O D. The probability that a customer buys a taco, a drink, or both is
55%.
Answer:
D. The probability that a customer buys a taco, a drink, or both is
55%.
Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?
Answer:
a. y = -2/3(x) + 4
B. 2
C. 4
Step-by-step explanation:
The gradient, m = (2-4)/(3-0) = -2/3
A. To find the equation of the line we use:
y - y1 = m(x - x1).
We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.
We will pic points (0, 4)
Substitute it in the equation.
=> y - 4 = (-2/3) (x - 1)
cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.
=> y = (-2/3)x +4..
(ps: this x is a variable)
B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line
C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line
Please answer my question correctly.
Answer: reasoning
Step-by-step explanation:
Given the formula:
[tex]x = \frac{1 + a}{1 - a} [/tex]
Solve for "a" when x=12.
[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]
ok done. Thank to me :>
I'll give brainliest i swear
Answer:
See below for answer.
Step-by-step explanation:
Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.
Step-by-step explanation:
The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).
Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.
These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:
If a is positive, and |x| = a, then:
x = a or x = -a
. Find the range of the function y
1/4x +1 if the domain is {-8, -4, 0}.
The range of a function is the possible output values the function can have.
The range of the function is all real values except 0
The function is given as:
[tex]\mathbf{y = \frac{1}{4x + 1}}[/tex]
When the denominator of the function is 0, the function would not have a real value.
This means that:
[tex]\mathbf{y \ne 0}[/tex]
i.e. the value of y cannot be 0.
Hence, the range of the function is all real values except 0
Read more about domain and range at:
https://brainly.com/question/21853810
What is the Factor of 3/9+8/9
Step-by-step explanation:
the lcm is 9 so....
3/9+8/9
multiply both sides by their lcm which is 9...
so....
9 (3/9)+9 (8/9)
3+8=11
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answer:
The Forth Answer
Step-by-step explanation:
I Think That Is correct
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3? a. y = 2 x + 3 c. y = 3 x + 2 b. y = 3 x minus 2 d. y = negative 2 x + 3
Answer:
C) y = 3x + 2
Step-by-step explanation:
Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).
We can substitute these values into the following slope-intercept form, y = mx + b, where:
m = slope
b = the y-coordinate of the y-intercept.
Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.
ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS
Answer:
the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)
Evaluate the expression for x = 5:
2•(x-2)^2+5
Answer:
2•(x-2)^2+5 3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.
I hope that this helps :P (and thx for the ez pointsss)
Write each decimal as a mixed number or fraction in simplest form.
24. 1.4
25. 0.33
26. 0.24
27. 4.44
28. 2.8
29. 0.05
30. 0.005
31. 7.32
8
Drag and drop the correct angle measures onto the diagram:
DRAG & DROP THE ANSWER
60
65
120
120
115
7
65
Answer:
Step-by-step explanation:
which one is it please do this quick!
Answer:
B
Step-by-step explanation:
The answer is B because Figure JKML is a result of PQRS by a scale factor of 3
You can verify this because the distance from J to K is 6 and the distance from P to Q is 2, from 2 to get to 6 you need to multiply 2 by 3 meaning JKML would be the dilation of figure PQRS by a scale factor of 3
Write the equation of a horizontal line going through the point (8, -1)
Answer:
y =-1
Step-by-step explanation:
An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
Answer:
-146
Step-by-step explanation:
so it seems that the sequence is moving down by 5, so therefore the sequnce would be as follows
9, 4, -1, -6, -11, -16, -21, -26, -31, -36, -41, -46, -51, -56, -61, -66, -71, -76, -81, -86, -91, -96, -101, -106, -111, -116, -121, -126, -131, -136, -141, -146
the 32nd term would be -146
Complete the description of the piecewise function graphed below.
Step-by-step explanation:
not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).
I assume, we have the following points :
(-6, 1.5) (-3, 3)
(-3, 2) (1, 2)
(1, 1) (6, -9)
all 3 segments are lines with the basic function definition
y = ax + b
a is the slope of the line function and is always the factor of x.
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
b is the y-intercept (the y value when x = 0).
the first segment goes from (-6, 1.5) to (-3, 3).
x changes by +3 units (from -6 to -3).
y changes by +1.5 or 3/2 units (from 1.5 to 3).
the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2
giving us the first part
y = (1/2)x + b
b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :
3 = (1/2)×-3 + b
3 = -3/2 + b
6/2 + 3/2 = b
9/2 = b
the full equation is
y = (1/2)x + 9/2 = (x + 9)/2
the second segment is a flat, horizontal line and is simply
y = 2
the third segment goes from (1, 1) to (6, -9) :
x changes by +5 units (from 1 to 6).
y changes by -10 units (from 1 to -9).
the slope of the line is -10/5 = -2
giving us the first part
y = -2x + b
b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :
1 = -2×1 + b
1 = -2 + b
3 = b
the full equation is
y = -2x + 3
The answer is in the pic below!
2. A trader received a commission of 25 percent on the sales he made in a month. His commission was CH¢ 180.00. find his total sales for a month.
Answer:
CH¢ 720.00Step-by-step explanation:
25% commission equals 180.00
Total sales amount is x:
x*25/100 = 1800.25x = 180x = 180/0.25x = 720easy will give brainlest no files.
Answer:
can u give better picture
Answer:
Remain the same.
Step-by-step explanation:
When you are translating a figure, nothing changes expect for its location. It's shape and orientation stay the same. Hope this helped, and please let me know if you have any further questions. :)
Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?
A.
0.75
B.
0.36
C.
0.5
D.
0.25
Answer:
A
Step-by-step explanation:
Got this right on edmentum
Plz help .!$&&&&&&&&&
The thing dosnet show
What is the value of x?
A) 3
B) 6
C) 8
D) 1
Answer:
I'm amusing its the answer is C
5. The lengths of the sides of a triangle are x, 2x + 1 and 5x + 4 inches. If the perimeter is 53
inches, what is the value of x?
Equation: Xt2x+/+5x+4-53
Solution:
Answer:
x = 6
Step-by-step explanation:
The perimeter is the sum of the 3 sides
Sum the 3 sides and equate to 53
x + 2x + 1 + 5x + 4 = 53 , simplify left side
8x + 5 = 53 ( subtract 5 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
simplify the expression.
20a^4 × (1/2 a^3 )^2
Answer:
5a^10
Step-by-step explanation:
Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2
P (A or B)=
Answer:
0.75 = P(A or B)
Step-by-step explanation:
Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B): 0.55 + 0.2 = 0.75 = P(A or B)
1 year = 12 months
3/4 year =
Answer:
3/4 year = 9
Step-by-step explanation:
To find 3/4 of a year you first need to find 1/4 of a year so you do 12/4 and get 3. Now we know that 1/4 of a year is 3 months so you just multiply that by 3 to get 9. So 3/4 of a year is 9 months.
I hope this helps!
Your answer to 3/4 of a year is 9 months
1.8 0.087 − 0.947 + 2.2 0.044
Answer:
2
Step-by-step explanation:
im smart
1) What is the measure of
A) 350
B) 60°
C)110°
D) 120
2) Given that
A)35
B)60
C)65
D)120
Answer: I believe that answer is D.
Step-by-step explanation:
-The angle below it is also 120 degrees.
-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.
Right angle-is 90 degrees exactly
Hope this helps!
Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit
Answer:
$400,000 and $600,000
Step-by-step explanation:
2x = one sister amount
3x = the other sister amount
Total money = $1,000,000
5x = 1,000,000
x = 1,000,000/5
x = 200,000
2x = 2(200,000) = $400,000
3x = 3(200,000) = $600,000
Check: one sister amount + the other sister amount = $1, 000,000
$400,000 + $600,000 = $1,000,000
ratio 2:3=2+3=5
so the first sisters share is
(2/5×1,000,000)
=200,000×2
=400,000.....thats the first sisters share
so....the second sister's share is
(3/5×1,000,000)
=3×200,000
=600,000.....thats the second sisters share
and to check if your answer is correct
you can add both of their shares
600,000+400,000=1,000,000.