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3 years ago

What is the measure of ∠N?

Mathematics

2 answers:

Anna35 [415]3 years ago

8 0

If I remember how to solve these types of equations then the answer should be 122

Have a Great Day!

Rom4ik [11]3 years ago

3 0

Your answer Will Be 122

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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

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

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

3 years ago

Why is the square root of 29 irrational?

vfiekz [6]

Answer:

Yes.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

I really need help. The question is what is the length of the line?<br>

vovikov84 [41]

5. You’re right! :)

7 0

3 years ago

Read 2 more answers

Linda, Aldo, and bob have a total of 70 in their wallets. Bob has 3 times what Linda has. Linda has 5 more than Aldo. How much d

yanalaym [24]

L, A, B = the amount of money each person has.
L + A + B = 70
B = 3L
L = A +5 or A = L-5
Set up an equation in L only:
L + L - 5 +3L =70
5L -5 = 70
5L =75
L = 15
follows
B=3*15 =45
A = 15 - 5 = 10

7 0

3 years ago

I need to know the equation for this problem only !

serg [7]

Hope this helps! Message me with any questions.

5 0

3 years ago