I need to figure out how to how to find the are of a plus shaped symbol, how would I do this?
Answers
Answer:
add the areas of the parts
Step-by-step explanation:
The area of an unusual shape is often easily found by decomposing it into shapes that you have formulas for. Divide the shape into parts, and add the areas of those parts.
__
negative areaAlternatively, some shapes are conveniently described by "missing" parts, For example, your "plus shaped" figure may be described as an overall rectangle with rectangles removed from the corners. Then the area of the shape is found by subtracting the missing area from that of the overall rectangle.
__
overlapping partsAs a rule, you want the parts to be non-overlapping. That way, you can add the areas of the parts without counting any area twice (or more times). If you have overlapping parts, you need to subtract the area(s) that may be counted multiple times.
__
symmetrySometimes you can take advantage of symmetry, so that you only need to compute part of the total area, then multiply by a factor that takes the symmetry into account.
__
exampleIn the attached figure, the dimensions of rectangle A are 6 m wide by 7 m high. The dimensions of rectangle B must be found by adding the width dimensions shown across the top of the figure: 5 m +6 m +6 m = 16 m. It is marked as 4 m high. Then the total area is ...
area of A + area of B
= (6 m)(7 m) +(16 m)(4 m)
= 42 m² +64 m² = 106 m²
This can also be found as the area of the 16 m by 11 m enclosing rectangle, less the two 5 m by 7 m corner cut-outs.
(16 m)(11 m) -2(5 m)(7 m) = 176 m² -2(35 m²) = 106 m²
Related Questions
Choose the correct item from each drop-down menu to factor the trinomial 3x² + 13x – 10 by grouping.
3x2+ 13x - 10 = 3x2 -
Choose.
x +
Choose.
X-10
Choose.
V (3x-2) +
Choose.
(3x - 2)
=
Choose.
Choose.
D(x - 2)
Answers
The trinomial, 3x² + 13x – 10, when factored will give you: (3x + 10)(x - 1).
How to Factor a Trinomial?To factor a trinomial, we need to find two factors that would give us the exact trinomial when expanded.
Given, 3x² + 13x – 10:
3x² -3x + 10x - 10
(3x² - 3x) + (10x - 10 )
3x(x - 1) +10(x - 1)
(3x + 10)(x - 1)
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what number should be added to both sides in order to solve x^2 -8x=0
Answers
Answer:
16
Step-by-step explanation:
x^2 -8x=0
rewrite in this form and add 16 to both sides:
x² + 2(- 4)x + 16 = 0 + 16
(x - 4)² = 16 ( take square root of both sides )
x - 4 = ± 4
x = 4 ± 4
x=8 , x= 0
Identify the statement as true or false.
As the size of the random sample increases, the sample distribution more closely represents the population distribution.
Answers
What is the answer to x-5y=30 so I can graph it?
Answers
Answer:
x + 5y = 30
x + 5(0) = 30
x1 = 30 y1 = 0
x + 5y = 30
1(0) + 5y = 30
y2 = 6 x2 = 0
(x1,y1) and (x2,y2)
(30,0) and (0,6)
Step-by-step explanation:
The area of a triangle is 20 cm², and the
altitude is 4 cm greater than the base. Find
the length of the base, to the nearest
millimetre
Answers
Answer:
Heavenly, we need the forumula for the area of a triangle, do you know it?
Step-by-step explanation:
Area of a triangle is (1/2 ) * B*H
where B = base
H = height
then
A = 1/2* B * H
A is given to be 20
B = b
H = b+4
plug all those into the formula,
20 = (1/2)*b*(b+4)
use your algebra skillz :P
20 = 1/2 *( [tex]b^{2}[/tex] + 4b)
20*2 = [tex]b^{2}[/tex] + 4b
40 = [tex]b^{2}[/tex] + 4b
0 = [tex]b^{2}[/tex] + 4b-40
rewrite the above so it's in x format
[tex]x^{2}[/tex] + 4x -40 = 0
use the quadratic formula to find x , and for our problem, remember that x represents the base, or b, but don't mix it up with the b in the quadatic fomula, with the b of the triangle, which is the base, they are differnt "b"s :P
X = (b±[tex]\sqrt{b^{2}-4*a*c }[/tex] ) / 2*a
a = 1
b = 4
c = -40
x = (4±[tex]\sqrt{4^{2}-4*1*(-40) }[/tex] ) /2*1
x = ( 4±[tex]\sqrt{16+160}[/tex] ) / 2
x = (4±[tex]\sqrt{176}[/tex] ) / 2
x = (4±13.266499)/2
x= 2±6.633249
x = 2 + 6.633249 = 8.633
b= 8.633 cm
Round 987 to 2 significant figure
Answers
987
to find:2 sf of 987
solution:( to find 2sf just round of if the previous digit is 5 or more)
2 sf= 990
Answer:
990
Step-by-step explanation:
What is the missing angle
Answers
[tex]Answer ☘️[/tex]
★ Important points to know
[tex] {\boxed{ \bold{Exterior \: Angle \: Theorem : - }}}[/tex]
The exterior angle of a triangle is equal to the sum of the two opposite interior angles.[tex] \pink{ ↪ \sf \angle \: C + \angle \: D = \angle \: B}[/tex]★ Let's solve :-
[tex] \sf ↪\angle \: 65 \degree + \angle \: 30 \degree =\angle \:B\\ \\ \sf ↪\angle \: 95 \degree = \angle \:B[/tex]
Hence option A 95⁰ is the right ans ✓
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]
To find :-
The angle ∠ABC = ?
Given :-
∠BCD = 65°
∠BDC = 30°
Solution :-
Firstly we have to find ∠CBD, with the help of ∠CBD, we will able to find ∠ABC.
To find ∠CBD, we will use angle sum formula
(=> The sum of angles of all 3 sides of triangle is equal to 180°).
∠CBD + ∠BCD + ∠BDC = 180° (angle sum property)
∠CBD + 65° + 30° = 180°
∠CBD + 95° = 180°
∠CBD = 180° - 95°
∠CBD = 85°
Now we have ∠CBD, and in the diagram ∠CBD and ∠ABD lies on the same line but it is seperated by line BC, it means they are linear pair and the sum of both angles (∠CBD and ∠ABC) is equal to 180°.
∠ABC + ∠CBD = 180° (linear pair)
∠ABC + 85° = 180°
∠ABC = 180° - 85°
∠ABC = 95°
Result :-
The ∠ABC is 95° by using the above method.
Choose the first option
(A) 95°
х
y
1
4
2
16
3
64
4
256
5
1,024
The table above represents what type of function?
A. linear
B. linear and nonlinear
c. neither linear nor nonlinear
D. nonlinear
Reset
Submit
Answers
Answer:
B
Step-by-step explanation:
When the x goes up 1, the y multiplies by 4. This graph would be a curve.
Hope that helps
I need this answered please
Answers
Answer:
Step-by-step explanation:
A classroom board is 24 inches wide and 18 inches tall, Koda
is putting ribbon along the outside edge of the board. How
many inches of ribbon will he need?
18 inches
24 inches
Answers
Answer:
84 inches
Step-by-step explanation:
It is the perimeter.
Koda needs 84 inches of ribbon to put it around the edge of the board.
A classroom board is 24 inches wide and 18 inches tall, Koda s putting ribbon along the outside edge of the board.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
length = 24 inch
width = 18 inch
The perimeter of the board, = 2 {length + width]
= 2 [24 + 18]
= 84
Thus, Koda needs 84 inches of ribbon to put it around the edge of the board.
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Given:
Universal Set U = {3, 7, 8, 10, 11}
Subset B = {7}
What is B' ?
Answers
Answer:
B' = {3, 8, 10, 11}
Step-by-step explanation:
B' is the complement of B. It is a set that contains all elements of the universal set that are not elements of set B.
B' = {3, 8, 10, 11}
Given the equation , then m =
Answers
Answer:
v=3,m=2
Step-by-step explanation:
You can find the complete solution in given attachment
I hope it helped you
Hence, m= (m+1)(2/3)
m= 2/3(m) + 2/3
A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.
Drawing Actual
Perimeter:__in. Perimeter:__mm
Area:__inches^2 Area:__mm^2
Answers
Answer:
See below
Step-by-step explanation:
Square objects have four sides of equal length
so the perimeter of the drawing will be 4 * 2.5 = 10 inches
area of drawing = 2.5 x 2.5 = 6.25 in^2
the actual object will have side lengths
2.5 in / 1 inch/ 5mm = 12.5 mm
four sides each 12. 5 mm = 50 mm
area of object = 12.5 x 12.5 = 156.25 mm^2
Solve for x
4x-16 2x+16
Answers
Answer:
The value of x is equal to 30.
Step-by-step explanation:
Let's define what are 2 equations are:
Since we are dealing with a straight line, the line's angle will always equal 180°.
Since the 2 angles must add up to 180°, then they must be supplementary angles.
We can set up our equation to solve for x:
4x - 16 + 2x + 16 = 180This equation states that the 2 angles, given in formulas, must be equal to the angle of the line.
We can now solve this equation and get a value of x:
Define:4x - 16 + 2x + 16 = 180Combine like terms:
6x = 180Divide 6 on both sides [Division Equality Property]:
x = 30
∴ we have found the value of x to be equal to 30.
Hope this helps!
[tex]\bold{ANSWER:}[/tex]
x = 30
[tex]\bold{EXPLANATIONS:}[/tex]
In rectangle EFGH, the length of EF is 12 units and the length of FG is 5 units. The rectangle is translated 6 units to the right and 4 units down to produce rectangle WXYZ. What is the length of YZ ?
Answers
Answer: 12
Step-by-step explanation:
Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).
Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)
Hence, YZ=12.
Can somebody help me please?
Answers
Answer:
it's a that's the answer
How do you solve this?
Answers
Answer: a= -18
b= -28 inches c=30 pounds
Step-by-step explanation:
What is a "closing balance?"
a.
The amount of
money you have at the end of the statement period
b.
C.
The amount of money you have when you close your account
d.
The amount of money you owe at the end of the statement period
The amount O1 money waiting
to be transferred out of your account
Please select the best answer from
the choices provided
Answers
Answer:
A. The amount of money you have at the end of the statement period
Step-by-step explanation:
A "closing balance" is the The amount of money you have at the end of the statement period
Hello I need Help with this question ASAP PLS.
Question: The cost of 6 Apples is $1.20. What is the cost of 4 apples? State units of your answer.
Pls Help me, I'm stuck :(
-- Biruh
Answers
Answer:
$0.80
Step-by-step explanation:
Find the unit rate
1 apple costs ?
1.20/6 = cost of 1 apple
1 apple = $0.20
4 apples = $0.20 * 4
4 apples = $0.80
4apples = x$
x$*6apples = 1.20$*4apples
x$ = 1.20$*4apples / 5apples
x = 0.8$
An employee is starting a job with an annnual salary of $40,000. The employee's annual salary will increase by 3% at the end of each year with the company.
What will the employee's annual salary, in dollar, be at the end of the second year with the company?
Answers
Answer:
$ 42 436
Step-by-step explanation:
3% = .03
40 000 ( 1 + .03)^2 = 42436
What is the length of the missing leg? If necessary, round to the nearest tenth
Answers
Explanation a^2+b^2=c^2
Answer:
80m
Step-by-step explanation:
Pythageoreum Theorum since it is a right triangle.
a^2 + b^2 = c^2
60^2 + b^2 = 100^2
3600 + b^2 = 10,000
-3600 -3,600
b^2 = 6,400
Square root both sides of the equation
b = [tex]\sqrt{6400}[/tex]
[tex]\sqrt{6400}[/tex] = 80
The length of side a is 80 m
Darnell collected data from two different sales teams in his department, each with four employees.
The results of the study, based on each worker's age and sales, are listed in the tables below.
Team 1
Team 2
Worker's Age
Sales
Worker's Age
Sales
25
30,000
29,000
27
32,000
35,500
28
35,000
37,000
33
38,000
65,000
Which of the following is a true statement?
225
28
29
31
Answers
Answer:
The answer is C The sales range for team 2 is greater than the sales range for team 1.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
HELP PLEASE ASAP 30 POINTS
Write the equation of the graph.
ANSWERS;
A. y+3=-1/2(x-1)
B. y-3=-1/2(x+1)
C. y=1/2x+5
D. y-3=1/2(x+1)
Answers
y= 1/2x +3
1/2x is the gradient
+3 is the y-intercept
Hope that helps!
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Enter your answer in the answer box below.
Answers
Answer:
One
Step-by-step explanation:
For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.
Shorter sides: 6 cm and 2.5 cm
Longer side: 6.5 cm
6 + 2.5 = 8.5
As 8.5 > 6.5 this is a unique triangle
As the side lengths are fixed, only one unique triangle can be formed.
If instead of randomly selecting two people there were five, what is the probability that all five are right-handed
Answers
Answer:
1/32
Step-by-step explanation:
We can break this question down. If we had 1 person and they are right-handed, the probability is 1/2 because they are either left-handed or right-handed. Knowing that, we can multiply the probability of having 1 person being right-handed 5 times because there are 5 people in the question.
1/2 × 1/2 × 1/2 × 1/2 × 1/2 = 1/(2⁵) = 1/32
Therefore, the probability of randomly selecting 5 people who are right-handed is 1/32.
I hope this helps and please mark me as brainliest!
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-2 =3(x+3)
Answers
y=3x+11
y-3x=11
Stephanie has a homeowners insurance policy for her $355,000 home with an annual premium of $0.42 per $100 of value and a deductible of $500. under this policy, in the event of a major mishap, stephanie would have a total annual out-of-pocket expense of left-bracket (355,000 dollars divided by 100) times 42 cents right-bracket 500 dollars = 1,991 dollars. stephanie would like to lower her premium by increasing her deductible. if stephanie wants to increase her deductible to $1000, what annual premium would result in an annual out-of-pocket expense that is about the same as her current plan? a. $0.16 per $100 of value b. $0.28 per $100 of value c. $0.35 per $100 of value d. $0.46 per $100 of value
Answers
The annual premium result in an annual out-of-pocket expense that is about the same as her current plan is $0.28 per $100 of value.
What is an insurance premium?Insurance premiums are paid for policies that cover all the basic needs such as healthcare, home, and life insurance.
We are given Amount of insurance policy for Stephanie = $ 355,000
Annual premium = $ 0.42 per $100
Deductible amount = $ 500
Total Annual out of pocket expense
= [($355,000/100) x $0.42] + $500
= $1,991
Now, the New Deductible amount that Stephanie wants is $ 1000
So, Let the annual premium be x
To find the annual premium in an annual out-of-pocket expense that is about the same as her current plan when the deductible amount increases to $1000
355,000x / 100 + 1000 = 1991
3550x + 1000 = 1991
3550x = 1991 - 1000
3550x = 991
x = 991/3550
x = 0.279≈0.28
Hence the annual premium result in an annual out-of-pocket expense that is about the same as her current plan is $0.28 per $100 of value.
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Find the answers to the picture
(triangle) ASAP
Answers
Answer:
measure of angle C = 18°
c = 2.47
a = 7.61
Step-by-step explanation:
Make sure your calculator is in degree mode.
Angle A measures 72°, so angle C measures 18° (Angles A and C are complementary angles, so their sum is 90°).
[tex] \sin(18) = \frac{c}{8} [/tex]
[tex]c = 8 \sin(18) = 2.47[/tex]
[tex]a = 8 \cos(18) = 7.61[/tex]
need help asappp !!!!
Answers
Answer:
80 degrees
Step-by-step explanation:
The three angles of the triangle must sum to 180 degrees
70 + 30 + x = 180
x = 180 -70-30 = 80
A geometric sequence can be used to describe the population of rabbits on a
farm. The first spring, the farmer purchased 8 rabbits. Five years later, there are
648 rabbits at the farm. Assuming that none of the rabbits leave the farm, how
many rabbits were on the farm in year 3?
Answers
Answer:
step 1
Find the average growth per year of the populations of rabbits farm A
Over the first 2 years
for t=0
numbers of rabbits=5 (is not exact)
for t=2
numbers of rabbits=40
average=[40-5]/2---------> 17.5
step 2
Find the average growth per year of the populations of rabbits farm B
Over the first 2 years
for t=0
numbers of rabbits=5 (is not exact)
for t=2
numbers of rabbits=30
average=[30-5]/2---------> 12.5
step 3
Compare the average growth per year of the populations of rabbits on both farms
farm A=17.5
farm B=12.5
the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 5 rabbits per year.
therefore
the answer is the option C)
the average rate of population growth of rabbits in farm A is greater than average rate of population growth of rabbits in farm B by about 6 rabbits per year.
Step-by-step explanation: