Answer:
15 cm
Step-by-step explanation:
Area of a rectangle formula: A = lw
Simply plug in known variables and solve:
60 = 4(w)
w = 15
Answer:
15 cm
Step-by-step explanation:
If we know the area which is 60 and the width which is 4 we can just divide 60 by 4 and we get 15cm
Eleven plus forty-one is divided by a number. If the result is 13, what's the number?
Answer:
4
Step-by-step explanation:
Let the number be x.
(11+41)/x = 13
52/x = 13
13x = 52
x = 52/13
x = 4
The number, if Eleven plus forty-one is divided by a number, and the result is 13, is 4.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
Eleven plus forty-one is divided by a number, and the result is 13,
Assume the number is x,
Write the equation as shown below,
11 + 41 / x = 13
52 / x = 13
x = 52 / 13
x = 4
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Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12
Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
This is due to the symmetry of the sin function, which states that:
[tex]sin(-x)=-sin(x)[/tex]
Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.
PLEASE ANSWER ASAP
10 POINTS!!!!!!!
Answer:
Range { -8,-3,5,7}
Step-by-step explanation:
The range of the function is the output values
Range { -8,-3,5,7}
Answer:
D
Step-by-step explanation:
8, -3, 5, 7
List of all possible outputs
There are 5 positions open. 20 candidates applied. 14 are men, 6 are women. The
company decided to give 3 positions to men, 2 to women. How many outcomes are
possible?
Answer:
2307 ways
Step-by-step explanation:
Given
Candidates: 5
Men (Applicants): 14
Women (Applicants): 6
Job Positions: 5
Man = 3
Women = 2
Required:
Number of possible outcomes
This question represent selection; i.e. selecting candidates for job positions;
This question can be solved by using Permutations/Selection formula
Given that 3 man are to be selected from 14 men and 2 women from a total of 6 women
Let M represent Men and W represent Woman
Number of ways = M + W
Calculating M
[tex]M = nPr[/tex]
Substitute nPr with its formular
[tex]M = \frac{n!}{(n-r)!}[/tex]
Where n = 14 men and r = 3 applied
[tex]M = \frac{14!}{(14 - 3)!}[/tex]
[tex]M = \frac{14!}{11!}[/tex]
[tex]M = \frac{14*13*12*11!}{11!}[/tex]
[tex]M = 14*13*12[/tex]
[tex]M = 2184[/tex]
Calculating W
[tex]W = nPr[/tex]
Substitute nPr with its formula
[tex]W = \frac{n!}{(n-r)!}[/tex]
Where n = 6 men and r = 2 applied
[tex]W = \frac{6!}{(6-2)!}[/tex]
[tex]W = \frac{6!}{2!}[/tex]
[tex]W = \frac{6*5*4*3!}{2!}[/tex]
[tex]W = 6*5*4[/tex]
[tex]W = 120[/tex]
Recall that Number of ways = M + W
Number of Ways = 2184 + 123
Number of Ways = 2307
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca
Answer:
A) a/b = d/c
Step-by-step explanation:
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answer:
I'm not sure, but I think it is (0, -6).
A professional singer charges $1000 an hour. Her rate increases by 50% after midnight. If she performs one night from 8:30pm to 1:00am, how much will she be paid? .
Answer:
$5000
Step-by-step explanation:
Hours until midnight = 3 1/2
Hours until 1am = 1
3 1/2 x 1000 = 3500 = $3500
1 = ( 1000 x 0.50 = 500 (+1000) ) = 1500= $1500
3500+1500 = $5000
A quadratic of the form -2x^2 + bx + c has roots of x = 3 + sqrt5 and x = 3 - sqrt5. The graph of y = -2x^2 + bx + c is a parabola. Find the vertex of this parabola.
Answer:
Just saying that there are links people post that scam you and this is requird by Brainly
Step-by-step explanation:
If one pair of opposite sides of a quadrilateral is both congruent and __________, then the quadrilateral is a parallelogram. ANSWERS: A) increasing B) perpendicular C) decreasing D) parallel
Answer:
I think it’s parallel
Step-by-step explanation:
Correct me if this is wrong
Answer:
plz mark me brainliest
Step-by-step explanation:
parallel is the answer confirmed
proof: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram. THEOREM: If a quadrilateral has 2 sets of opposite angles congruent, then it is a parallelogram.
hope it halps
Find the measure of each marked angle.
X degree= ? Degree
(X+50) Degree =? Degree
(180-3x) Degree =? Degree
(Simplify your answers. Type an integer or a fraction.)
Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Twenty-five patients were seen in the emergency room yesterday. The number of
clinical laboratory and X-ray procedures performed on each patient were recorded
as: 5, 3, 7, 4, 6, 7, 2, 1, 4, 6, 3, 3, 2, 2, 5, 7, 4, 5, 3, 6, 2, 1, 4, 3,5. Calculate:
Mean (arithmetic) number of lab and X-ray procedures per patient.
Answer:
the mean (average) is 4
Step-by-step explanation:
add all the numbers together (100) and then divide by the number of patients (25).
45% of a 300ml drink is concentrated pineapple juice. The rest is water. Find the volune of water that must be added so that 40% of the drink is concentrated pineapple juice.
Answer:
37.5 mL
Step-by-step explanation:
If x is the volume of water, then:
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
45% of a 300ml drink is concentrated pineapple juice.
If x is the volume of water, then we get;
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
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0.8 divided by 0.2 equals?
Answer:
4
Step-by-step explanation:
28. Find the area of the triangle ABD in the diagram below.
Answer:
A = 60 cm²
Step-by-step explanation:
Finding BC using Pythagorean Theorem:
=> [tex]c^2= a^2+b^2[/tex]
=> [tex]13^2 = a^2+5^2[/tex]
=> 169-25 = [tex]a^2[/tex]
=> [tex]a^2[/tex] = 144
Taking sqrt on both sides
=> BC = 12
So,
BC = CD = 12
=> BD = BC+CD
=> BD = 12+12
=> BD = 24
Now, The area:
=> Area of a Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where BASE = 24, HEIGHT = 5
=> A = 1/2(5)(24)
=> A = 1/2(120)
=> A = 60 cm²
Step-by-step explanation IN triangle abc,
AC² = AB² + BC² (Phythogoras theorem)
13² = 5² + BC²
169 - 25 = BC²
144 = BC²
BC² = 144
BC = 12 (APPLAYING SQAURE ROOT)
Then in triangle ADC,
AD² = AC² + CD²
AD² = 13² + 12² (CD = BD - BC)
AD² = 169 + 144
AD = 17cm (aprox.)
Therefore area of triangle abd = 1/2× length × side = 1/2× 5 ×24 = 5 × 12 = 60cm
Which right triangular prism has the greatest volume? A triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The height of the prism is 6 meters. A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters. A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters. A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.
Answer: The correct answer is option 4;
A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.
The volume of a right triangular prism is derived as follows;
Volume = 1/2 * b * h * l
Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.
Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;
(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.
Volume = 1/2 * 7 * 9 * 6
Volume = 189 cubic metres
(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.
Volume = 1/2 * 6 * 13 * 5
Volume = 165 cubic metres
(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.
Volume = 1/2 * 11 * 8 * 8
Volume = 352 cubic metres
(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.
Volume = 1/2 * 10 * 9 * 8
Volume = 360 cubic metres
Answer:
2
Step-by-step explanation:
Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.
If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].
We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):
[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]
We have
[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]
and in each group, we can pull this out as a factor. For example,
[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]
So the entire sum reduces to the remaining term,
[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]
Answer:
jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................
Step-by-step explanation:
Help ASAP please Graph the line that has a x-intercept of -5 and a y-intercept -2 what is the slope of the line
Answer:
Slope: -2/5
Step-by-step explanation:
To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
48. A map is drawn to a scale of 1cm to represent 50km. if the actual distance between two villages is 480km, what is
the distance on the map?
A. 4.8cm B. 5.0cm C. 9.6cm
D. 48.0cm E. 2400.0cm
Answer:
C. 9.6 cm
Step-by-step explanation:
This is all about unit rate. In this scenario the unit rate is 50/1 and for 480 km that fraction would be 480/x so we could either do cross multiplication or divide across the numerator and denominators. Let's divide. 480/50 is equal to 9.6. Seeing as that is what helped us get from numerator a to numerator b we would then multiply that in our denominators. So, 1*9.6 is equal to 9.6 so the amount of cm for 480 km is 9.6 cm.
8. Graph the function
Answer:
Last option is the correct choice.
Step-by-step explanation:
See the attachment below.
Best Regards!
For what values (cases) of the variables the expression does not exist: a/2x−4 (That equation is a fraction)
Answer:
When x=2 the expression is undefined
Step-by-step explanation:
When the denominator is zero, the expression is undefined
2x-4 =0
2x=4
x=4/2
x=2
When x=2 the expression is undefined
Brainliest for whoever gets this right !!!
Answer :
[tex](x1 \: \: y1) = ( - 2 \: - 5) \\ (x2 \: \: y2) = (10 \: \: 7)[/tex]
I hope it helps :)
Answer the following: What is the area of the circle? (Will give brainliest)
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
Solve for b
117
63
27
160
Answer:
27
Step-by-step explanation:
180-153=b
b=27
Answer:
B) 27
Step-by-step explanation:
Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:
153+b=180
b=180-153
b=27
Hope this helps!
2 Points
Which rule should be applied to reflect f(x) = x2 over the yaxis?
A. Switch the variables x and y in the equation
B. Multiply f(x) by -1.
C. Substitute -x for x and simplify f(-x)
O D. Multiply f(y) by -1.
SUBMIT
Answer:
Option C. Substitute -x for x and simplify f(-x)
Step-by-step explanation:
The rule for reflection over y axis is:
Substitute -x for x and simplify f(-x)
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given:
While reflecting a point with coordinates as (x, y), over y axis, the rule followed is
(x, y) = (-x, y)
The given function is,
f(x) = x²
So, reflecting it over y axis, we have to replace x with -x
(x, f(x)) = (-x , f(x))
So, the new reflected function is
f(-x) = -x²
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In a bag with 3 red chips, 2 yellow chips, and 1 green chip, what is the probability of getting NO yellow chips on the first 2 tries? A. 1/3 B. 2/3 C. 2/5 D. 3/5
Answer:
B.
Step-by-step explanation:
total chips = 6
chips not including yellow= 4
simplify 4/6 = 2/3
A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are N = 50 people in a club.
The position of President is open. And there are x = 4 members running for he post of President.
So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has x = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = n × x
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.