Subtract: 3/4y-(1/2y+1/3)

The surface areas of two similar rectangular prisms are 361 m2 and 441 m2. What is the scale factor of the larger prism to the s

Elis [28]

Option C:

The scale factor of the larger prism to the smaller prism is $\frac{21}{19}$ .

Solution:

Two rectangular prisms are similar.

Surface area of the smaller prism = 361 cm²

Surface area of the larger prism = 441 cm²

Scale factor of larger prism to smaller prism

$$=\frac{\sqrt \text{{Surface area of larger prism}} }{\sqrt\text{{Surface area of smaller prism} }}$

$$=\frac{\sqrt {441} }{\sqrt{361}}$

$$=\frac{\sqrt {21^2} }{\sqrt{19^2}}$

Both square and square roots are cancelled, we get

$$=\frac{21}{19}$

The scale factor of the larger prism to the smaller prism is $\frac{21}{19}$ .

Hence Option C is the correct answer.

6 0

4 years ago

What is the solution to the rational equation x over 2x minus 1 plus 1 over 4 equals 2 over 2x minus 1

weeeeeb [17]

Answer:

the solution of given rational equation is x= 3/2

Step-by-step explanation:

$\frac{x}{2x-1}+\frac{1}{4} = \frac{2}{2x-1}$

We need to solve the above rational equation and find value of x

Finding LCM of 4 and (2x-1) we get 4(2x-1).

Multiplying 4(2x-1) on both sides of equation and solving

$\frac{x}{2x-1}*4(2x-1)+\frac{1}{4}*4(2x-1) = \frac{2}{2x-1}*4(2x-1)\\4x+2x-1=8\\6x-1=8\\6x=8+1\\6x=9\\x=9/6\\x=3/2$

So, the solution of given rational equation is x= 3/2

6 0

4 years ago

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of

Umnica [9.8K]

$\large\bold{{Question :}}$

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of the circle.

$\large\bold\red{\underline{Solution :-}}$

Here, O is the center of the circle.

⟼ Given :

OQ = 25 cm
PQ = 24 cm

⟼ To Find : We have to find the radius OP.

Since QP is tangent, OP perpendicular to QP.

(Since, Tangent is Perpendicular to Radius ⠀⠀⠀⠀⠀⠀⠀at the point of contact)

So, ∠OPQ=90°

⟼ By Applying Pythagoras Theorem :

OP² + RQ² = OQ²

OP² + (24)² = (25)²

OP² = 625 - 576

OP² = 49

OP = √49

OP = 7 cm

Hence, The Radius is 7 cm

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<h3>-MissAbhi</h3>

7 0

2 years ago

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Jess recently started a business producing cosmetic products made from natural ingredients. She wants to advertise her products

kicyunya [14]

Answer in minutes: 342.86

Answer in hours: 5.7143

6 0

4 years ago

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What is the area, in square feet, of the shaded region? Remember A(Circle) = πr²

Inga [223]

I know a=pi*r^2 anyways, the triangle is:4*8/2=16 The semicircle is: 4pi because 4 is diameter, /2 then square u still get 4. 4*3.14 = 12.56 12.56 + 16 = 28.56.

4 0

4 years ago