What is the result of adding 7 to −7? A) −14 B) −7 C) 0 D) 14

Mathematics

2 answers:

skad [1K]3 years ago

6 0

Answer:

it would be C.

Step-by-step explanation:

if you have 7 dogs and take away 7 you have 0 dogs.

mojhsa [17]3 years ago

3 0

C. 0

In this case they are the same number but opposite.

If we were to do 7-7 it is equal 0. When we look at it, there is a 7 and a -7 even though everyone knows that the answer is 0, you can see they look the same. Now, let’s look at the other choices.

A is wrong because -7 + -7 = -14

B is wrong because -7 + 0

D is wrong because 7 + 7 = 14

Hope this helps, have a great day, and stay safe!!

:)

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If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$