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2 years ago

What is the best estimate of the sum of fractions?

Mathematics

2 answers:

astra-53 [7]2 years ago

6 0

14 1/2 is what I got

LiRa [457]2 years ago

6 0

Answer:

Step-by-step explanation:

Edgeunity <em>2021</em>

I'm pretty sure, I just estmated the answer to 13 which was the closest.

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1.what is the value of x? ( 1st pic)

balandron [24]

For the first picture using Pythagorean Theorem, we know that a^2 + b ^2 = c^2 but since we only know c ( 99.2) and b ( 62 ) we need to use the theorem to find a the equation we use for that is :
A = square root of ( c^2 - B^2 )
A = 77.44

5 0

2 years ago

The sum of two numbers is −24. One number is 104 less than the other. Find the numbers.

velikii [3]

Answer:

the answer is 80

Step-by-step explanation:

104-24

5 0

3 years ago

A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

4 0

2 years ago

Amanda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Co

Tema [17]

Answer:

For mileages higher than 80 miles Company A will charge less than Company B

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Company A charges $111 and allows unlimited mileage.

Company A =111

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven

Company B = 55+0.70m

Where m is the number of miles.

Company A has to charge less than Company B

a<b

111 < 55+0.70m

Solving for m

111-55 < 0.70 m

56 < 0.70m

56/0.70 < m

80 < m

For mileages higher than 80 miles Company A will charge less than Company B

5 0

3 years ago

If a= 11, solve for b and c.

oksian1 [2.3K]

Step-by-step explanation:

b = 11

c = 11✓2 because the properties of 45 45 90 triangle

8 0

3 years ago

What is the best estimate of the sum of fractions? ​

What is the best estimate of the sum of fractions?