Answer:
5x4x2
Step-by-step explanation:
The total area of the figure id 35 square cm.
What is area?The amount of space taken up by a two dimensional space is called area.
What is the formula for the area of triangle?The formula for the area of a triangle is
[tex]A = \frac{1}{2} (b)(h)[/tex]
Where,
A is the area of triangle.
b is the base of a triangle.
h is the height of the triangle.
What is the formula for the area of square?The formula for the area of square is
[tex]Area = a^{2}[/tex]
Where,
a is the side length of square.
According to the given question.
A triangle is resting on a square.
Side length of square, a = 5cm
So, the area of square = [tex]5^{2} = 25 square cm[/tex]
Also, a triangle with height 4cm.
Since, the triangle is resting on a square.
⇒ Base length of the triangle = 5cm
So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]
Therefore,
The total area of the given figure = Area of square + Area of triangle
⇒ Total area of figure = (25 + 10) square cm
⇒ Total area of figure = 35 square cm
Hence, the total area of the figure id 35 square cm.
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If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
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Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?
Answer:
0.4762 = 47.62% probability that this bulb was produced by factory A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Bulb is defective.
Event B: Produced by factory A.
Probability of a bulb being defective.
5% of 40%(factory A)
3% of 20%(factory B)
4% of 40%(factory C). So
[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]
Defective and from factory A:
5% of 40%. So
[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]
What is the probability that this bulb was produced by factory A?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]
0.4762 = 47.62% probability that this bulb was produced by factory A
CARD #8: Henry says that the two figures will be congruent. A figure on a coordinate plane is dilated by a scale factor that is less than one. Heather says that the two figures will be similar.
Answer:
Heather is correct.
Step-by-step explanation:
Two figures are similar if the figures have the same shape but different size
Two figures are congruent if they have the same shape and size.
So, if we dilate a given figure (by any factor different than one) then we are changing the size of this figure.
Finally, a figure and its dilation can't be congruent, as these figures have different size (but still have the same shape, so the figures are always similar)
Then Heather is correct.
If b=5 what is b3 answer?
Answer:
15
Step-by-step explanation:
We know that b=5. Therefore, b is 5. Therefore, we plug this into the expression. (5)3. 5 times 3 is equal to 15. Therefore, the answer is 15.
If this has helped you please mark as brainliest
Find the measure of A,B and C.
7. A city is building a fence around a rectangular playground. If the perimeter of the playground is 100 feet and the length of one side of the fence is 32 feet, what is the width of the playground?
Answer:
100-32=68
Step-by-step explanation:
there are 68 feets on the playground
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation:
(-2x^2y^5)^3 (5x^4)/10x^7y^13
Answer:
−4x^17y^28 is the answer i believe.
Step-by-step explanation:
Answer: Hello luv......
Simplify the expression.
−4y28x17
Step-by-step explanation:
Mark me brainest please...
Hope this helps...
Anna ♥
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
Look at the problem below.
p + q = 17
If p = 8, what is q?
B. II
A. 25
C. 9
D. 8
Answer:
C
Step-by-step explanation:
8+q=17
17-8=9
The answer is 9
You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
look at pic 10 pts will mark brainilest
Answer:
A
Step-by-step explanation:
It’s a
Answer:
A
Step-by-step explanation:
this isa because the 2 rectangles on the net will make the sides and the triangles will finish the prism when u fold it it will be a rectangular prism plz mark me brnliest ill send u friend request
5 + 0.55x = 10 + 0.75x pls help and explain
Step-by-step explanation:
hope it is helpful to you
X = -25
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.55x + 5 = 0.75x + 10
Step 2: Subtract 0.75x from both sides.
0.55x + 5 − 0.75x = 0.75x + 10 − 0.75x
−0.2x + 5 = 10
Step 3: Subtract 5 from both sides.
−0.2x + 5 − 5 = 10 − 5
−0.2x = 5
Step 4: Divide both sides by -0.2.
−0.2x/−0.2 = 5/−0.2
x = −25
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
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Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
What is the volume of a sphere with a radius
of 6?
A 721
14471
2161
IN 288rt
Answer:
the volume is 904.32. that guy I don't know what
A 721
14471
IN 288rt
means
It takes a racecar 47 seconds to complete one lap on a 3,200-meter track. What is the racecar's average speed during the lap? A. 150 m/s B. 68 m/s C. 15 m/s D. 79 m/s
WILL NAME BRAINLIEST
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
What is the range of the data Colin collected?
Answer:
5
Step-by-step explanation:
Guys can you help me please :( ASAP
Answer:
The answer is 25 + 11
Step-by-step explanation:
Hope this helps
What is the product?
Answer:
I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
olve the system of linear equations by graphing. =3+3 - 2x - 3
Answer:
If the equation is actually typed like that the answer will be
3-2x
If is typed like this 3-2x-3+3=
It will be
-2x+3
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
Find the measure of a 3.
ts
43
90°
<<
43 = [?]
The correct answer is 90
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
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Express in the form 1:n
Give n as a fully simplified fraction.
4:6
Answer:
1:1.5
Step-by-step explanation:
Divide both numbers by 4 to get 1:1.5
What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points
Neee help right answers please
Answer:
Step-by-step explanation:
Divided the first 2 numbers by eachother and then by four use a calculator
Answer:
1146198.07
Step-by-step explanation: