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3 years ago

If a=2^3 x 3^7 x 5^3 x 11^4 and b= 2^2 x 3^5 x 7^2 x 11 x 13 , find the following:

Mathematics

1 answer:

Natalka [10]3 years ago

5 0

Answer:

10,692

Step-by-step explanation:

GCF stands for Greatest Common Factor.

The way to find it is easy once you have the prime decomposition.

Search for common factors in the decomposition and take the least power, then multiply them all.

So, in our case, as the numbers are already broken down into prime factors , we have

$GFC(a,b)=2^2.3^5.11=10,692$

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What is the square root of 54 that lies between

Bad White [126]

Find the square numbers and see which ones 54 lies between
1, 4, 9, 16, 25, 36, 49, 64.
It lies between the two square numbers 49 and 64.
But you want the square root.
So find the square root of 49 and 64.
7 and 8.
So the square root of 54 is between 7 and 8.
Hope this helps.

4 0

3 years ago

Can someone help me please

VashaNatasha [74]

Answer:

TQ = 10 $\sqrt{2}$

Step-by-step explanation:

The diagonal divides the square into 2 right triangles with the diagonal being the hypotenuse.

Using Pythagoras' identity in triangle TPQ

TQ² = PQ² + PT²

TQ² = 10² + 10² = 100 + 100 = 200 ( take square root of both sides )

TQ = $\sqrt{200}$ = $\sqrt{100(2)}$ = $\sqrt{100}$ × $\sqrt{2}$ = 10 $\sqrt{2}$

7 0

2 years ago

The area of the region under the curve of the function f(x) = 5x + 7 on the interval [1, b] is 88 square units, where b > 1.

djverab [1.8K]

We are given the area of the region under the curve of the function f(x) = 5x + 7 with an interval [1, b] which is 88 square units where b > 1

We need to find the integral of the function f(x) = 5x + 7 with the limits 1 and b

5/2 x^2 + 7x (limits: 1, b)

substitute the limits:

5/2 (1^2) + 7 (1) - 5/2 b^2 + 7b = 0

solve for b

Then after solving for b, this would be your interval input with 1: [1, b].<span />

4 0

3 years ago

Read 2 more answers

Ede4ka [16]

Answer:

Step-by-step explanation:

Sum of all three angle in a triangle=180

Given angles are 35°,45°

Let the remaining angle =x

So 35 +45+X=180

X=180-80

X=100°

Remaining angle =X=100° is the answer

3 0

3 years ago

The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1

Kobotan [32]

Answer:

Step-by-step explanation:

a+s=14

a=14-s

a+8s=56, using a from above in this equation gives

14-s+8s=56

14+7s=56

7s=42

s=6

a=14-s

a=14-6=8

So student tickets cost $6 and adult tickets cost $8.

5 0

2 years ago