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2 years ago

Can someone solve this please

Mathematics

1 answer:

alisha [4.7K]2 years ago

5 0

Answer:

12,475.3cm^3

Step-by-step explanation:

volume = π x r2 x h

π x 19^2 x 11 = 12,475.264

rounded = 12,475.3

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Quadrilateral RJFT is similar to quadrilateral SYPA . JF=60 mm , AP=40 mm , and YP=25 mm . What is TF ?

Hoochie [10]

The two quadrilaterals are similar. Which means the ratios of respective sides of two quadrilaterals will be the same.

So, for the given quadrilaterals, ratio of sides JF and TF of quadrilateral RJFT will be equal to the ratio of sides YP and AP of quadrilateral SYPA. Mathematically, we can write:

$JF:TF = YP:AP \\ \\ 
 \frac{JF}{TF} = \frac{YP}{AP} \\ \\ 
 \frac{60}{TF} = \frac{25}{40} \\ \\ 
60* \frac{40}{25}=TF \\ \\ 
TF=96mm$

So the measure of TF will be 96mm

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2 years ago

A steel worker dropped his wrench off the top of a new high rise building. How far will the wrench fall in 3 seconds?

rosijanka [135]

Using S = ut + 1/2gt², from rest, u = 0

S = 1/2gt², g ≈ 9.8 m/s²

S = 1/2 *9.8*3²

S = 0.5 *9.8*3*3

S ≈ 44.1 m

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3 years ago

Andrew goes to a store an buys an item that costs xx dollars. He has a coupon for 35% off, and then a 8% tax is added to the dis

ANTONII [103]

Answer:

xx(0.65) + xx(0.08)

Step-by-step explanation:

First step is to find the discounted price. Finding 35% less than the original xx is the same as finding 65% of it, so we multiply by 0.65. Once this is completed we need to find 8% more than that. So we add 8% of xx, which is the same as multiplying by 0.08. Hope this helps :)

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2 years ago

The price of a gallon of gasoline dropped by $0.08 on Wednesday and by 0.25 of that amount on Thursday. Which best represents ho

Dmitrij [34]

The correct answer is (A) this is because if you add 25 and 8 cents you get 32 and that becomes a negative number because they are asking how much it droped which i decreasing which is negative so your answer is -0.32 (A)

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2 years ago

Read 2 more answers

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:

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

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

2 years ago