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2 years ago

Simplify the given equation in the attached picture:\sqrt{29-\sqrt{5}}

Mathematics

1 answer:

Vilka [71]2 years ago

3 0

Answer: 2√5 - 3

Step-by-step explanation:

$Simplify the following:$\sqrt{29-12 \sqrt{5}}$$$\begin{aligned}&29-12 \sqrt{5}=9-12 \sqrt{5}+20=9-12 \sqrt{5}+4(\sqrt{5})^{2}=(2 \sqrt{5}-3)^{2}: \\&\sqrt{\left((2 \sqrt{5}-3)^{2}\right)}\end{aligned}$$Cancel exponents. $\sqrt{(2 \sqrt{5}-3)^{2}}=2 \sqrt{5}-3$ :\\Answer:$$2 \sqrt{5}-3$

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Edward is driving a car on the highway. He drives for 28.5 miles in 3/8 of an hour. At this rate, how much distance can he cover

Rom4ik [11]

The distance covered in one hour is 76 miles.

Step-by-step explanation:

Edward drives a car for 28.5 miles.

Therefore, the distance he travels by the car = 28.5 miles.

The time it takes to drive 28.5 miles is 3/8 of an hour.

The formula to find the rate :

Rate = Distance traveled / Time taken in hours.

Here, the distance is 28.5 miles and time is 3/8 hour.

Rate = $28.5/ (3/8)$

To find the distance covered in 1 hour :

Let us assume, 'x' be the distance covered in one hour.

Rate = $x/1$

Now, comparing the rates to find the x value :

⇒ $28.5 / (3/8) = x /1$

⇒ $x = 28.5 \times 8/3$

⇒ $x = 228/3$

⇒ $x = 76$

Therefore, the distance covered in one hour is 76 miles.

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3 years ago

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Anastasy [175]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the value of the expression 0.6 x 0.8? Solve for the answer using an area mode

KiRa [710]

Step-by-step explanation:

0.6m×0.8

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is like this?

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5 0

3 years ago

franklin school has 3 boys for every 4 girls in the fifth grade. there are 140 students in the 5th grade. How many boys are ther

marin [14]

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

$b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80$

Hence,

There are 60 boys and 80 girls in Franklin School.

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3 years ago

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GarryVolchara [31]

Answer:

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3 years ago