Answers
Answer:
3/2 cm^2 or 1.5 cm^2
Step-by-step explanation:
Remark
This is another one of those very poorly design questions where a lot is taken for granted. There is nothing to show the the black square has an area of 1/4 square cm. or the white square is 1/2 cm^2. You are left to speculate, and you should never have to guess a dimension from a diagram.
That said here are the assumptions
Each side of the square = Perimeter / 4. That's because the perimeter is 8 and each of the 4 sides is 2 cm. because 8/4 = 2That's the only thing that you can conclude for certain.It looks like the white rectangles have a length that totals 2. Therefore each one must be 1 cm long.The width of the white square must be 1/2 the width of a side divided by 2. That's because The grey square takes up 1/2 the with of the side and the white square is 1/2 of what is left over.White square area = L * W
L = 1 (which comes from 1/2 of 2)
W = 1/2
Area = 1 * 1/2 = 1/2
There are two them them so their area = 1
The black squares are 1/2 * 1/2 = 1/4 square cm. There are two of them so their total area = 1/2 square cm.
Total of the white and black squares = 1 + 1/2 = 1 1/2 or 3/2 square cm.
Related Questions
The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units
Answers
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]The Coordinates of Point C are C( x , y ) = [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).
And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex] = [tex]\frac{-1}{\frac{-1}{3} }[/tex] ⇔ 3.
Let the coordinate of D be (a, b) then⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)
Answers
Answer:
B
Step-by-step explanation:
In fact in this case there is only a value of y when x is equal to 0
Use the formula to solve for the given variable.
Solve
i = Prt
for i, given that
P = $8000,
r = 9%,
and
t = 4 1/2 years.
Answers
Answer:
8000 times 0.09 times 4.5
3240 is the amount of interest that will be gained
what is the value of x? x+15=2x-40
Answers
Answer:
55 =x
Step-by-step explanation:
x+15=2x-40
Subtract x from each side
x-x+15=2x-x-40
15 = x-40
Add 40 to each side
15+40 = x-40+40
55 =x
Answer:
x = 55
Step-by-step explanation:
x+15=2x-40
take away x from both sides and add 40 on both sides to get the like terms on each side
55 = x
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store.
Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery
Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
Who reaches the store first? By how much time (in hours)? Round to the nearest hundredth if
needed.
Answers
Answer:
Susie reaches the store first being ahead by 0.06 hours.
Step-by-step explanation:
20 miles going 45 miles/hour.
20 miles / (45 miles / hour) = 20 miles hours / 45 miles =
= 20 hours / 45 = 4/9 hours = 0.44 hours
25 miles going 50 miles/hour.
25 miles / (50 miles / hour) = 25 miles hours / 50 miles =
= 25 hours / 50 = 1/2 hours = 0.5 hours
So Susie needs less time (= arrives first).
the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours
as additional practice :
0.06 hours is 60 × 0.06 minutes.
60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10
Answers
900Answer:900
Step-by-step explanation:
you guys know the drill,
Triangle ABC has side lengths of 2 cm, 4 cm and 5 cm. Triangle DEF has side lengths of 6 cm, 11cm, and 20 cm. Can triangle ABC and triangle DEF be dilations of each other? Explain.
Answers
Answer:
No because they are not proportional. 2•3=6 but 4•3 does not equal 11.
Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR
Answers
0Answer:
Angle PTR is 136*
Step-by-step explanation:
In Question, We Have Given
Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .
Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)
Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .
Thus The Angle Of PTR is
∠PTR = 360* - ( 90*+90*+44*)
∠PTR = 360* - 224*
∠PTR = 136*
Diagram, Please Find In Attachment
Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,
HELP!!! please
Answers
Answer:
38
Step-by-step explanation:
triangle
its urgent please help ASAP ty!!
Answers
Answer:
the answer choices oh uhm I think i
No files pls just type it in pls and thank you
Answers
Answer:♀️
Step-by-step explanation:
Find the missing measurement in this parallelogram.
Can someone please help?????
I must show the work
Answers
Answer:
35º
Step-by-step explanation:
u = 180 - 145
u = 35
Explanation: Since we know that its a parallelogram, you would take 180(the degrees of a straight line) and subtract it by 145. 180-145= 35
NEED HELP ASAP !!!! SOMEONE HELP ME
Answers
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
What point has coordinates of (-5,-2)
Answers
Point C has the coordinates: (-5, -2)
Answer:
c
Step-by-step explanation:
A toy store's percent of markup is 45%. A model train costs the store $50. Find the
markup.
Answers
Answer:
$22.50
Step-by-step explanation:
Answer:
$95 is the markup
Step-by-step explanation:
Add 45+50=95
the result of a number when increased by 15% is 161. Find the number
Answers
Answer:
(15×7)×29/€549×898×68
When 9 is added to five times a number, we get 19. The number is
Answers
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
square root of 44,100 by division
Answers
210 IS THE POSSIBLE ANSWER
Will mark branliest please help
Answers
Answer:
base =7.6 cm
Step-by-step explanation:
area of a triangle =base * height/2
=11.02*2 =base *height
22.04=base *2.9
22.04/2.9 =base
7.6 =base
Answer have to be units please and thank you
Answers
Simplify the exprission:
5k - 12k - 1 + k
Answers
Step-by-step explanation:
5k-12k-1+k
= 5k-12k+k-1
= -6k-1
What is the coefficient of the squared term in the parabola's equation?
Answers
What is the coefficient of the squared term in the parabola's equation?
Answer:
C.) 3
Find the function value. tan 240°
Answers
Answer:
Step-by-step explanation:
240 has a reference angle of 60 in the third quadrant. The side across from 60 is going to be negative in this quadrant, measuring -√3; the side adjacent to the angle is also negative in this quadrant, measuring -1. The tangent ratio is the side opposite the angle over the side adjacent to the angle, so
tan(240) = √3
Answer:
-240
Step-by-step explanation:
What is the missing side length in the triangle?
Answers
Help me to do this question
Answers
Answer:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]
Two angles are said to be Complementary if their sum is equal to 90°
[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]
[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]
[tex]\sf{\implies 5C = 270}[/tex]
[tex]\sf{\implies C = 54}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]
Answer: The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]
Two angles are said to be Supplementary if their sum is equal to 180°
[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]
[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]
[tex]\sf{\implies 6S = 900}[/tex]
[tex]\sf{\implies S = 150}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]
Answer: The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answers
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
HELP MEEEE PLEASE HELPPPP
Answers
Answer: Fatima has $17.50
The step-by-step explanation found at the link at the bottom. Hope you understand!
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answers
Answer:
yes
Step-by-step explanation:
may I please have help from anyone thank you so much !m
Answers
Answer:
Hello! answer: 512 cm3
Step-by-step explanation:
8 × 8 × 8 = 512 cm3
Consider this equation..
Answers
Answer:
-27
Step-by-step explanation:
[tex]\sqrt{x^4} - y^2\\\sqrt{3^4} - (-6)^2\\\sqrt{3*3*3*3} - 36\\3*3 - 36\\9 - 36\\-27[/tex]
Answer:
45
Step-by-step explanation:
[tex]\sqrt{x^{4} } -y^{2}[/tex]
Plug in 3 for x and -6 for y
[tex]=\sqrt{3^4}-\left(-6^2\right)[/tex]
[tex]=\sqrt{3^4}+6^2[/tex]
[tex]=\sqrt{3^{4} } =3^{2}[/tex]
[tex]=3^2+6^2[/tex]
[tex]3^{2} =9[/tex]
[tex]=9+6^2[/tex]
[tex]6^{2} =36[/tex]
[tex]=9+36[/tex]
[tex]=45[/tex]
