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g100num [7]
3 years ago
8

Simplify all of the below1.) 3√10+7√15-6√10-4√152.)5√7+12√6-10√7-5√63.)7√3-4√6+√48-√544.)3√5-2√7+45-√285.) √10 * √8

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
3 0

1. -3√10+3√15

2. -5√7+7√6

3. 11√3-7√6

4. 3√5-4√7+45

5. 4√5

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Please help me with this question
Elden [556K]

Answer:

Step-by-step explanation:

(a). SR = 15√2 km ≈ 21.2 km

R is 21.2 km due South-East of S

(b). RQ² = 35² + 15² ⇒ RQ = 5√14 km ≈ 38.1 km

R is 38.1 km due South-West of Q

4 0
3 years ago
Which is an equation of an asymptote of the hyperbola?
Vikentia [17]
Follow the method of rise over run and a is your answer
3 0
3 years ago
Margot is trying to decide between cable and satellite TV. Cable has a package of $49.99 a month for the basic package, plus $9.
VashaNatasha [74]
The cost of cable (c) in terms of months (m) is
  c = (49.99 +9.95 +9.95 -10.00)m
  c = 59.89m

The cost of satellite TV (s) in terms of months is
  s = 125.00 +49.95m

The difference in price is ...
  s - c = (125 +49.95m) -(59.89m)
  s - c = 125 -9.94m

At 12 months, the difference in price is
  s - c = 125 -9.94*12 = 5.72
This number is positive, which means ...
  the Cable company will save Margot money over a 12-month period.

At 24 months, the difference in price is
  s - c = 125 -9.94*24 = -113.56
This number is negative, which means ...
  the Satellite TV company will save Margot money over a 24-month period.


_____
A graph of the costs shows a cross-over at 12.5 months. Until then, the Cable provider is less expensive. Over terms longer than that, the Satellite TV provider is less expensive.

3 0
3 years ago
When the members of a family discussed where their annual reunion should take​ place, they found that out of all the family​ mem
Doss [256]

Answer:

The total number of family members is 21.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of these sets.

I am going to say that:

-The set A represents those that would not go to a park.

-The set B represents those who would not go to a beach.

-The set C represents those who would not go to the family cottage.

The value d represents those who would go to all three places.

We have that:

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

In which a are those that would only not go to a park, A \cap B are those who would not got to a park or to the beach, A \cap C are those who would not go to a park or to the famili cottage. And A \cap B \cap C are those that would not go to any of these places.

By the same logic, we have:

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

This diagram has the following values:

a,b,c,d,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)

The total number of family members is the sum of all these values:

T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)

We start finding the values from the intersection of the three sets

5 would not go to a park or a beach or to the family​ cottage.

This means that A \cap B \cap C = 5

1 would go to all three places. This means that d = 1.

8 would go to neither a park nor the family​ cottage

This means that:

A \cap C + (A \cap B \cap C) = 8

A \cap C = 3

8 would go to neither a beach nor the family​ cottage

B \cap C + (A \cap B \cap C) = 8

B \cap C = 3

7 would go to neither a park nor a​ beach

A \cap B + (A \cap B \cap C) = 7

A \cap B = 2

15 would not go to the family​ cottage

C = 15

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

15 = c + 3 + 3 + 5

c = 4

12 would not go to a​ beach

B = 12

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

12 = b + 3 + 2 + 5

b = 2

11 would not go to a​ park

A = 11

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

11 = a + 2 + 3 + 5

a = 1

Now, we can find the total number of family members.

T = a + b + c + d + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)

T = 1 + 2 + 4 + 1 + 2 + 3 + 3 + 5

T = 21

The total number of family members is 21.

5 0
3 years ago
a closed circular water tank in a subdivision is made up of concreate aluminum. its outer diameter is 8.4 m and its height is 12
m_a_m_a [10]

Answer:

122.7792 sq. m

Step-by-step explanation:

diameter= 8.4 m

therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)

height = h= 12 m

only the exterior is to painted so the total surface area of the cylinder is taken,

total surface area of cylinder = 2π r( h+r)

=2* 3.14* 4.2*(12+4.2)

=122.7792 sq. m

5 0
3 years ago
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