The best estimate for the diagonal of the rectangle is 3 ⇒ B
Step-by-step explanation:
In a rectangle:
- The length and the width are perpendicular
- The length of its diagonal =
(the diagonal is the hypotenuse of a right triangle whose legs are the length and the width of the rectangle)
∵ The width of a rectangle = x
∵ The length of the rectangle = 2x
∵ The diagonal = 
- Substitute the length by 2x and the width by x
∴ The diagonal = 
∴ The diagonal = 
∴ The diagonal = 
∵ x = 1.33
- Substitute the value of x by 1.33 to find the diagonal
∴ The diagonal = 
∴ The diagonal = 2.973
∴ The diagonal ≅ 3
The best estimate for the diagonal of the rectangle is 3
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Answer:
15000
Step-by-step explanation:
In 15476, 5 is the place value of thousand. For rounding it to nearest 1000, check the next digit to 5. It is 4, which is less than 5. So, 15476 rounded to 1000 is 15000
Perimeter is where you add up all the sides, which is 5+5+4+6+7+9=36cm
Answer:
The value of x is 8 .
Step-by-step explanation:
It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .
As EF, GH, RS and NP are in proportion
So,
EF : GH = RS : NP
Answers:
- Pyramid
- Rectangular Prism
- Cylinder
- Cone
- Triangular Prism
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Explanation:
- The formula for the volume of a pyramid is (1/3)*B*h, where B is the area of the base. If we're dealing with a rectangular pyramid, like those found in Egypt, then the area of the base is B = length*width.
- The volume for a prism is found by multiplying length (L), width (W), and height (H). So V = LWH. Think of having a 2 by 3 rectangle of blocks. We would have 2*3 = 6 blocks in total. Then if we have 5 layers of these stacked then we have 2*3*5 = 6*5 = 30 blocks in total. This is one way to visualize how the volume formula works.
- To get the volume of a cylinder, we multiply the area of the base (pi*r^2) by the height (h). So that's where pi*r^2*h comes from.
- The volume of a cone is 1/3 that of a cylinder's volume. This is when the cone and cylinder have the same radius, and also the same height. It's not required that r = h.
- Since all of the other answer choices are used up, the only thing left is "triangular prism". It's strongly implied here that B is the area of the triangular base. Though the formula Bh applies to any prism and it doesn't have to be a triangular prism. Note how B = LW, so Bh is the same as LWH, meaning that a rectangular prism can use the Bh formula.