First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
Then find the area of the divisions.
Answer:
The figure will have 2 triangles and 2 rectangles .
The triangles have a combined area of 12 m2.
The rectangles have a combined area of 25 m2.
The figure has a total area of 37 m2.
The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.
The total area of the triangles = 26 m²
The total area of the rectangles = 12 m²
The total area of the figure = 38 m²
Given,
The figure is given.
We need to complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
What is the area of a triangle and rectangle?Area of a triangle: 1/2 x base x height
Area of a rectangle: length x width
We have,
Two triangles and one rectangle.
E__3__F
|. |
| | 4m
_A_4m_G|_____| D
/. | \. /
/. | \. /
/ 4 \. /
/. | \. /
/. | \. /
B. 6m C.
Area of triangle ABC
= 1/2 x 6 x 4
= 12 m²
Area of triangle ACD.
= 1/2 x 7 x 4
= 14 m²
The total area of the triangles.
= 12 + 14
= 26 m²
Area of the rectangle EFDG
= 4 x 3
= 12 m²
The total area of the figure.
= 26 + 12
= 38 m²
Thus,
The figure will have a triangle ABC, a triangle ACD, and a rectangle GDFE.
The total area of the triangles = 26 m²
The total area of the rectangles = 12 m²
The total area of the figure = 38 m²
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Ella and Margaret were at a carnival. They each got a ticket for the Ferris wheel. Ella got a snow cone, and Margaret got a cotton candy. Ella had a certificate for $6 off the cost. Margaret paid the rest, which came to $12.75. Each Ferris wheel ticket was $5, and a snow cone was $3.50. What was the cost for cotton candy
Answer:
.$5.25
Step-by-step explanation:
:|
13122,4374,1458
Find geometrical sequence
Answer:
I'm to cool to answer that
Step-by-step explanation:
is that a bad thing
Find the missing angle measures.
Y = ?
Z = ?
X = ?
Answer:
Y = 63
Z = 85
X = 130
step-by-step explanation:
Kiara peeled 2 oranges every 4 hours. At that rate, how many would she peel in 12 hours?
please put an explanation, thank you!
HELP NEEDED ASAP
Find the measure of the missing angles.
Answer:
E. is 103 degree.
It's a vertical angle.
F. is 77 degree
the e and f makes a 180 degree. 180-103(aka e) = 77 degree
D. is 90 degree. it's perpendicular.
45. Anela and Jacob plan to attend a concert in Brady.
Anela will drive 375 km to Brady at a constant speed
of 75 km/hr, stopping one time for a 30-minute break.
Jacob will start 600 km from Brady and will drive at a
constant speed of 90 km/hr for 2 hours. He will take a
1-hour break and then drive to Brady at a constant
speed of 70 km/hr. To the nearest 0.1 hour, Jacob must
leave how much earlier than Anela in order for them to
arrive in Brady at the same time?
B. 2.5
C. 3.1
D. 3.5
Jacob must leave 3.5 hours earlier than Anela to arrive at same time.
What is speed?The distance traveled by an object in relation to the amount of time it takes to travel that distance is one way to define speed. Simply put, it is a measurement of an object's speed without providing direction. The term "velocity" refers to the speed at which we can obtain direction.
Given Anela distance to Brady = 375 km
speed of Anela = 75 km/hr
time taken by Anela is distance/speed
time taken by Anela = 375/75 = 5 hours
total time taken by time taken by Anela = 5 hours + 30 minute
30 minutes = .5 hours
total time taken by time taken by Anela = 5 hours + 0.5 = 5.5 hours
Jacob distance to Brady = 600 km
distance covered in 2 hours with speed 90 km/hr
= speed x time = 90 x 2 = 180 km
distance left = 600 - 180 = 420 km
time taken for 420 km at speed 70 km/hr
= 420/70 = 6 hours
total time taken by Jacob = 2 + 1 + 6 = 9 hours
difference in time of Jacob and Anela = 9 -5.5 = 3.5 hours
Hence Jacob should leave 3.5 hours early.
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Kevin uses each of the digits 5, 7, 4 and 9, once and once only, to make
four-digit numbers.
C)
What is the largest number that he can make?
Answer:
9,745
Step-by-step explanation:
One wing of a royal mouth is 0.75 inch across. How wide is the mouth mouse wingspan when both wings are open?
Answer: 1.50
Step-by-step explanation: 1 wing = 0.75 2 wings= 1.50
0.75 times 2 because there are 2 wings
Math lab work.
For tomorrow!
Rate as BRAINLIEST, if any doubt ask.
7.) -2
8.) 2
9.) -21
10.) 28
11.) -6
12.) 27
13.) -22
14.)-23
15.)-28
16.) 13
17.) 28
18.) 25
19.) >
20.) <
What number is represented by 4x2+17x+2if x=10?
Answer:
4x²+17x+2=52
Step-by-step explanation:
Step-by-step explanation: The given equation is 4x2 +17x+2. Here, lets substitute the value of x = 10. So, the equation simplifies to 4× (10)²+17(10)+2 , = (4 x 100) + 170 + 2 = 400 + 170 + 2 = 572 So, at x = 10, 4x²+17x+2=52
what is the equation?
Answer:
You already wrote the equation
Step-by-step explanation:
x+y+z=63x−2y+2z=2−2x−y+3z=−4
Enter your answer, in the form (x,y,z), in the boxes in simplest terms.
Answer:
(2 , 3, 1)
Step-by-step explanation:
x + y + z = 6 ..(1)
3x - 2y + 2z = 2 ..(2)
-2x - y + 3z = -4 ..(3)
(1)*3-(2): 5y + z = 16 ..(4)
(1)*2+(3): y + 5z = 8 ..(5)
(4)*5-(5): 24y = 72 y = 3
(4): 5*3 + z = 16 z = 1
(1): x + y + z = x + 3 + 1 = 6 x = 2
So I have this question I cannot figure out 3w+w2+1=10−w
Answer:
Answer: w is 1.6 or. -5.6
Step-by-step explanation:
• I guess the question asks to find the value of w
[tex]{ \rm{3w + {w}^{2} + 1 = 10 - w }}[/tex]
• arrange the equation in a quadratic equation format. i.e; ax² + bx + c = 0
[tex]{ \rm{ {w}^{2} + (3w + w) + 1 - 10 = 0 }} \\ \\ { \rm{ {w}^{2} + 4w - 9 = 0 }}[/tex]
• let's solve the equation using the quadratic formular
[tex] \hookrightarrow \: { \tt{w = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ [/tex]
a is 1b is 4c is -9• Substitute following the mathematical operation rules:
[tex]{ \rm{w = \frac{ - 4 \pm \sqrt{ {4}^{2} - (4 \times 1 \times - 9) } }{(2 \times 1)} }} \\ \\ { \rm{w = \frac{ - 4 \pm \sqrt{52} }{2} }}[/tex]
• split the result:
[tex]{ \rm{either \: \{w = \frac{ - 4 + \sqrt{52} }{2} \} \: \: or \: \: \{w = \frac{ - 4 - \sqrt{52} }{2} \} }} \\ \\ { \rm{either \: \{w = 1.6 \} \: \: or \: \: \{w = - 5.6 \}}}[/tex]
The length of a rectangle is 5cm more then the width. the perimeter of the rectangle is 38cm.find the length and width of the rectangle?
Answer:
Length - 12
Width - 7
Step-by-step explanation:
38 = 2((5+x) + x)
38 = 10 +4x
28=4x
x=7
7+5=12
Given : The length of a rectangle is 5cm more then the width. The perimeter of the rectangle is 38cm. Find the length and width of the rectangle?
Solution : According to the question, here we are given that the length if the rectangle is 5m more than its breadth and so the perimeter of the rectangle is 38cm. So, for this let's check the steps below
Let's assume the breadth be B
So, as we got that length is 5cm more than Breadth which is B + 5cm
Perimeter is 38cm
★ Perimeter = 2(Length + Breadth) ★
Perimeter = 2(B + 5cm + B) 38cm = 2(2B + 5cm) 38cm/2 = 2B + 5cm 19cm - 5cm = 2B 2B = 14cm B = 7cmFinding Length
Length = B + 5cm = 7cm + 5cm = 12cm
Finding Breadth
Breadth(Width) = B = 7cm
Therefore, Width is 7cm whereas Length is 12cm
HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS
Angle x and angle y are complementary angles. If m
On average, a dolphin swims at a speed of 8 km per hour for about 15 hours per day. What distance does a dolphin travel per day?
Answer:
speed=distance/time
8=distance/15
120km= distance
Step-by-step explanation:
On Dan's phone, 30% of the apps are are gaming apps. If 12 of his apps are gaming apps, how many total apps are on his phone?
Answer:
Dan has 40 total apps
Step-by-step explanation:
30% = 12 apps
10% = 4 apps
10% · 10 = 100%
4 · 10 = 40 apps
How do i solve this?
guys pls help me!!!!!!
Answer:
[tex]x = 127[/tex]
Step-by-step explanation:
Vertical Angles
Someone pls help me I will make you as brain
Answer:
It's -3 :)
Step-by-step explanation:
g(x) = 1 and f(x) = -3 and to find k you need to do f(x)/g(x). Therefore, -3/1 = -3. Hope this helped!
The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d. 6) Which model represents the situation?
The total cost of pizza and drinks, is an illustration of a linear function.
The model that represents the situation is: [tex]\mathbf{10 + 3d = 19}[/tex]
The given parameters are:
[tex]\mathbf{Total =19}[/tex]
[tex]\mathbf{1\ pizza =10}[/tex]
[tex]\mathbf{1\ drink =d}[/tex]
The cost of 3 drinks will be 3d
The total cost would then be:
[tex]\mathbf{Total = 10 + 3d}[/tex]
Substitute 19 for Total
[tex]\mathbf{10 + 3d = 19}[/tex]
Rewrite the above equation as:
[tex]\mathbf{3d + 10 = 19}[/tex]
Hence, the model that represents the situation is: [tex]\mathbf{10 + 3d = 19}[/tex]
Read more about linear functions at:
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PLEASE HELP I REALLY DONT UNDERSTAND THANK YOUU
Answer:
x=34º
Step-by-step explanation:
a line always = 180º
so y+81=180
y=99º
a triangle is also always 180º total
so x+y+47=180
x+99+47=180
x+47=81
x=34
Which of the following represents the range of the graph below?
X<0
All real numbers
X>0
Y>0
Answer:
D. y > 0Step-by-step explanation:
The graph is contained in the second quadrant so the y- values are between zero and positive infinity:
y ∈ (0, + ∞)Correct choice is D
The function lies in 2nd quadrant in XY plane
We know
in 2nd quadrant value of y is positive.Or
[tex]\\ \sf\longmapsto R_f>0[/tex]
[tex]\\ \sf\longmapsto y>0[/tex]
Option C is correct
another question i wan't to know is -84 divided by 14
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
The legs of a right triangle are equal. Given the length of the legs, find the length of the hypotenuse. Round to the nearest tenth.
1. 5 cm
2. 2 cm
3. 10 in.
4. 12 m
Answer:
C
Step-by-step explanation
10 inches
A special is going on at the movies. You pay a flat fee $10 to watch movies all day and then $3
Answer:
1: C=3b+10
2:
x = the number of candy bars purchased
3 = the amount spent on soft drinks
8x = number of candy bars
18 = total amount spent
Step-by-step explanation:
Please answer number 19 please I beg you!
Answer:
147,000,000
Step-by-step explanation:
152,000,000+147,000,000=299,000,000
Step-by-step explanation:
299,000,000-152,000,000=Male
Male=147,000,000
=1.47×10'8
Odita wants to know if the students in her school like to play cricket. I am only going to ask the boys. Will the results of her survey give a fair result? Give a reason for your answer.