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2 years ago

7. Consider the diagram below. Please find the value of w.

Mathematics

2 answers:

Marina86 [1]2 years ago

5 0

Answer:

x = 44

I hope it's helps you

ioda2 years ago

5 0

Answer: M{W°}=44

A triangle has 3 sides, and the total of angles are equivalent to 180°.

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Can someone solve number 6, and show your work plz

Romashka [77]

Answer:

Step-by-step explanation:

total mass = (number of nails) * (mass of one nail)

total mass = 750 * 5.2 * 10^(-3) kg

total mass = 750 * 0.0052 kg

total mass = 3.9 kg

6 0

3 years ago

URGENT URGENT helppps plz

Murljashka [212]

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector = $\frac{270}{360}$ ×pi×15×15

= 168.75pi

1) Smaller sector = $\frac{360-270}{360}$ ×pi×15×15

= $\frac{90}{360}$ ×pi×15×15

= 56.25pi

2) Bigger sector = $\frac{270}{360}$ ×3.14×15×15

= 529.875

2) Smaller sector = $\frac{360-270}{360}$ ×3.14×15×15

= $\frac{90}{360}$ ×3.14×15×15

= 176.625

6 0

3 years ago

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

What is the percent of decrease from 1,000 to 400?

Luden [163]

Answer:

400/1000×100%

40% is the percent of decrease from 1,000 to 400.

8 0

3 years ago

Appended below is the code for Selection Sort. You really do not have to understand the details of the code. If this algorithm t

kramer

Answer:

12 seconds.

Step-by-step explanation:

Let t represent time taken by code to sort an array of 24 elements.

We have been given that an algorithm takes 4 seconds to sort an array of 8 elements. We are asked to find the time it will take for same code to sort an array of 24 elements.

We will use proportions to solve our given problem.

$\frac{\text{Time}}{\text{Array of elements}}=\frac{4}{8}$

$\frac{t}{24}=\frac{4}{8}$

$\frac{t}{24}\cdot 24=\frac{4}{8}\cdot 24$

$t=\frac{4}{1}\cdot 3$

$t=12$

Therefore, it will take 12 seconds for the same code to sort an array of 24 elements.

8 0

3 years ago