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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If the perimeter of the polygon below is 52 ft, solve for x, and identify the length of each side in the corresponding spaces below (figure not drawn to scale). Don't forget to include units in your answer!
Answer:
bru its was in my head now its gone
Step-by-step explanation:
WILL GIVE BRAINLIEST
Find the measure of Z8 given angle 2 is 70 degrees.
Angle 8 and Angle 2 are supplementary. So Angle 8 + 70 would equal to 180.
180-70 is 110 hence angle is 110 degrees.
0.34156020 as a scientific notation
Answer:
3.4156020*10^-1 for scientific notation if you want to keep that ending zero (I'd normally write it 3.415602*10^-1)
Step-by-step explanation:
So the idea of scientific notation (or engineering notation) is to make things smaller and more manageable. The idea is to move the variables so that one is in front of the point.
So if you had something like this:
12342300000000000000
It'd be equal to 1.23423*10^19
Or something like this
0.0000095675
Would be 9.5675*10^-6
Angle x and angle y are complementary angles. If m
The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis. What is the batting's thermal conductivity value in \dfrac{\text{W}}{\text{cm}\cdot^\circ\text{C}} cm⋅ ∘ C W start fraction, start text, W, end text, divided by, start text, c, m, end text, dot, degrees, start text, C, end text, end fraction?
In a certain class, 18/25 of the students got problem 10 wrong on Friday's math test.
Answer:
72% i think but I may be wrong
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
14 yd
15 yd
17 yd
Answer:
A = 42.5 yd²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 17 and h = 5 , then
A = [tex]\frac{1}{2}[/tex] × 17 × 5 = [tex]\frac{1}{2}[/tex] × 85 = 42.5 yd²
mathematics algebra sat
Hey there!
2(p + 1) + 8(p - 1) = 5p
2(p) + 2(1) + 8(p) + 8(-1) = 5p
2p + 2 + 8p - 8 = 5p
10p - 6 = 5p
SUBTRACT 5p to BOTH SIDES
10p - 6 - 5p = 5p - 5p
SIMPLIFY IT!
5p - 6 = 0
ADD 6 to BOTH SIDES
5p - 6 + 6 = 0 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 0 + 6 because it helps solve for the p-value
5p = 0 + 6
5p = 6
DIVIDE 5 to BOTH SIDES
5p/5 = 6/5
CANCEL out: 5/5 because it gives you 1
KEEP: 6/5 because gives you the result of the p-value
SIMPLIFY IT!
p = 6/5
Therefore, your answer is: p = 6/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
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.) <
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.
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
Calculate the slope of the line, given the points (-3, -4) and (-2, 1)
Answer:
The slope of the line is m=5
Step-by-step explanation:
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
Find two consecutive whole numbers that [tex]\sqrt{x} 94[/tex] lies between.
PLEASE HELP ME!! no spame
Answer:
D. 1/8Step-by-step explanation:
Use the slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex][tex]m=(-4-(-5))/(0-(-8))=1/8[/tex]5.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 7= 1/2(x - 5).
B. The relationship is linear; y - 5= -1/2(x + 7).
C. The relationship is not linear.
D. The relationship is linear; y – 5 = 2(x + 7).
Answer:
D. The relationship is linear; y – 5 = 2(x + 7).
Step-by-step explanation:
The correct answer is:
The relationship is linear, and the equation is
y-5 = 2(x+7).
Explanation:
To determine if the relationship is linear, we find the slope between each pair of points. Slope is given by the formula:
The slope between the first two points is given by:
The slope between the second pair of points is given by:
The slope between the third pair of points is given by:
Since the slope is the same throughout the data, the relationship is linear and the slope is 2.
To write the equation, we use point-slope form, which is:
y-y₁ = m(x-x₁)
Using the first point, we have:
y-5 = 2(x--7)
y-5 = 2(x+7)
The answer is The relationship is linear; y - 5 = 2(x + 7).
HELPPPPPPPPPPPPPPPPPPPP
Answer:
the answer is 2
Step-by-step explanation:
sorry if I am wrong
What Did The Acorn Say When It Grew Up?
Answer: Gee Im a tree
Step-by-step explanation:
Ive heard this joke before lol so corny
1. If two parallel lines are cut by a transversal then the pair of consecutive interior angles are supplementary.
2. If two parallel lines are cut by a transversal then pair of alternate interior angles are equal.
3. m∠1 is 106°.
4. m∠3 is 74°
5. m∠8 is 114°
6. m∠6 is 124°
7. m∠7 is 66°
8. m∠2 is 66°
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
1. If two parallel lines are cut by a transversal then the pair of consecutive interior angles are supplementary.
2. If two parallel lines are cut by a transversal then pair of alternate interior angles are equal.
3. m∠2 is 74° then m∠1 is (180 - 74)° = 106°. (linear pair of angles)
4. m∠2 is 74° then m∠3 is 74°. (vertically opposite angles)
5. m∠1 is 114° then m∠8 is 114° (alternate angles)
6. m∠4 is 56° then m∠6 is (180 - 56)° = 124° (180° - m∠5)
7. m∠1 is 84° then m∠7 is (180° - m∠8) = 180° - 114° = 66°.
8. m∠8 is 114° then m∠2 is m∠7 = 66°
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Find the missing angle measures.
Y = ?
Z = ?
X = ?
Answer:
Y = 63
Z = 85
X = 130
step-by-step explanation:
guys pls help me!!!!!!
Answer:
[tex]x = 127[/tex]
Step-by-step explanation:
Vertical Angles
Complete the steps to find the value of x.
Answer:
72+(7x+24)=180
7x+96=180
7x=84
x=12
Step-by-step explanation:
Answer: x = 12.
Step-by-step explanation:
72 + (7x + 24) = 180 Now we add like terms
96 + 7x = 180 Take away 96 from both sides
7x = 84 Divide both sides by 7
x = 12 X equals 12.
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
equipment elevator descends 6 feet per second. The elevator for the miners descends 15 feet per
second. One day, the equipment elevator begins to descend. After 21 seconds, the elevator for the
miners begins to descend. What is the position of each elevator relative to the surface after
another 17 seconds? At that time, which elevator is deeper?
The position of the equipment elevator relative to the surface is feet.
Step-by-step explanation:
The equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface
ii. The miners elevator is deeper than that of the equipment.
The speed of an object is the rate at which the object moves.
i.e speed = \frac{distance}{time}
time
distance
Thus,
Speed of the equipment elevator = 4 feet per second
Speed of the miners elevator = 15 feet per second.
Time of descent of the equipment elevator = 30 + 14
= 44 seconds
So that, the distance of the elevator at this time is;
speed = \frac{distance}{time}
time
distance
⇒ distance = speed x time
= 4 x 44
= 176
distance = - 176 feet
The distance of the miners elevator after 14 seconds is:
speed = \frac{distance}{time}
time
distance
⇒ distance = speed x time
= 15 x 14
= 210
distance = - 210 feet
Thus after another 14 seconds, the equipment elevator is at a depth of 176 feet (-176 feet), while the miners elevator is at a depth of 210 feet (-210 feet) below the surface.
Therefore, the miners elevator is deeper than that of the equipment.
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
The vehicle's fuel efficiency is at least 40 miles per gallon
Three less than the product of a number and four
Answer:
i hope thisanswer will help you
- 4x + 11y = 15
X = 2y
Y =
X =
Answer:
x = - (15 - 11y)/4
y = x/2
Step by step explanation:Let's first solve for x
=>- 4x + 11y = 15
=>- 4x + 11y - 11y = 15 - 11y
=>- 4x = 15 - 11y
=>(- 4x)/- 4 = 15/- 4 - (11y)/- 4
x = - (15 - 11y)/4
let's solve for y
=>x = 2y
=>2y = x
=>(2y)/2 = x/2
y = x/2
Answer:
x = 10y = 5Step-by-step explanation:
Given system:
- 4x + 11y = 15 x = 2ySolve by substitution:
- 4(2y) + 11y = 15- 8y + 11y = 153y = 15y = 5Find x:
x = 2*5 = 10The solution to a system of two equations is "no solutions". Describe the graph of the two equations.
two parallel lines
two perpendicular lines
two intersecting lines
two overlapping lines
Answer:
two parallel lines
Step-by-step explanation:
the answer is parallel lines because parallel lines never touch so you would never have an answer. all the other answer choices mention some sort of intersection
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:
❗CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST + 25 POINTS❗
simply fully:
[tex] \sqrt{12} [/tex]
thanks xx
[tex] \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = 2 \sqrt{3} [/tex]
The answer is 2√3.
[tex] \sqrt{12} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }[/tex]
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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