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zhannawk [14.2K]
3 years ago
11

Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is

true?
Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard. mc011-1.jpg


Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height. mc011-2.jpg


Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.


Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft mc011-3.jpg 3 ft mc011-4.jpg 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.
Mathematics
2 answers:
ikadub [295]3 years ago
6 0
We know that
1 yd------------> is equals to 3 ft
so
1 yd³----------> is equals to (3 ft)³-----> 3*3*3 ft³------> 27 ft³

therefore

the answer is the option
<span>Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft x 3 ft x 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.</span>
EleoNora [17]3 years ago
6 0

Answer:Short answer is D. Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft Times 3 ft Times 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.

Step-by-step explanation:

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Consider ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
LenKa [72]

Answer:- B. No, because the corresponding congruent angles listed are not the included angles.


Explanation:-

Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.

Now, look at the attachment

We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .

⇒ B is the right option.

SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.

5 0
3 years ago
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A building in the shape of a pyramid was recently built. Each side of the pyramid’s square base has a length of 40 feet and the
Alex

Answer:32,000ft^3

Step-by-step explanation:

3 0
2 years ago
A circular mirror has a circumference of 30 pi inches. What is the area of mirror?
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

circumference = 2πr

2πr = 30π inches

r=\frac{30\pi}{2\pi}=15in

Area = πr² = π*15*15 = 225π square inches

6 0
3 years ago
Can someone help me with this i have been trying for hours and i actually got the wrong answer so can you help me understand by
kap26 [50]

Answer:

C

Step-by-step explanation:

We are given that FGH is a triangle, which means that...

Angle F + Angle G + Angle H = 180

Start by substituting the given angle measurements into the equation:

4x+2+13x-7+3x+5=180

Combine like terms

20x=180

Divide both sides by 20 to isolate x

x=9

Plug 9 back in for x to solve for each angle

Angle F = 4(9)+2=36+2=38

Angle G = 13(9)-7=117-7=110

Angle H = 3(9)+5=27+5=32

7 0
2 years ago
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A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and bas
andriy [413]
If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
b₁=-3-9=-12
b₂=-3+9=6.
The base is always positive so b=6, h=6+6=12.
Answer: base=6 ft, height=12 ft.

7 0
3 years ago
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