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3 years ago

Kite GHIJ has sides GH, HI, IJ and JG. What are the diagonals of this figure? Select all that apply.

Mathematics

1 answer:

juin [17]3 years ago

6 0

Answer:

GI or HJ

Step-by-step explanation:

Diagonals connect non-adjacent vertices.

That is, the diagonal with G as an endpoint will not connect to vertices H or J, but will connect to vertex I. Likewise the diagonal with H as one end will have J as the other end. A quadrilateral has only two (2) diagonals. Of course, each can be named two ways:

GI or IG

HJ or JH

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Match the solid figure to the appropriate formula.

AlekseyPX

1. $L \cdot A=\pi r l$ - Cone

2. $V=\frac{4}{3} \pi r^{3}$ - Sphere

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$ - Cylinder

4. $V=\frac{1}{3} B h$ - Pyramid

5. $L . A=p h$ - Prism

Solution:

1. $L \cdot A=\pi r l$

Lateral surface area of cone = $\pi r l$

where r is the radius of the cone and l is the slant height of the cone.

2. $V=\frac{4}{3} \pi r^{3}$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere.

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$

Total surface area of cylinder = $2 \pi r h+2 \pi r^{2}$

where r is the radius of the cylinder and h is the height of the cylinder.

4. $V=\frac{1}{3} B h$

Volume of pyramid = $\frac{1}{3} B h$

where B is the base area of the pyramid and h is the height of the pyramid.

5. $L . A=p h$

Lateral surface area of prism = $p h$

where p is the perimeter of the base and h is the height of the prism.

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2 years ago

49x2 - 81 is an example of the difference of two

Shkiper50 [21]

Answer:

(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.

Step-by-step explanation:

Formulas are used to factorize the polynomials.

In the given question, we can see a difference of squares

the difference of squares can be factorized using the formula

$a^2-b^2 = (a+b)(a-b)$

Here a^2 and b^2 are squares and factorized as sum and difference of numbers.

So in the given options,

(4x + 3)(4x - 3) represents the factorization of a polynomial that was the difference of two squares as it is written as product of sum and difference of two numbers.

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2 years ago

Millie bought a computer for $600 at 40% off how much was it before discounts including sales tax of 8%

valina [46]

$648 because the sales tax is 600*0.08=48
600+48=648

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3 years ago

Explain the reliability with suitable examples.

ryzh [129]

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2 years ago

Find the gradient of the line segment between the points (2,3) and (-3,8).

fiasKO [112]

Answer:

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