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Answers

Answer 1

Answer:

Answer is B. 289

First find the area of the rectangle by multiplying Base x height. 17 x 13 = 221

Now to find the area of the huge triangle, you have to do (Base x height) / 2. So your height would be 8. Now your base would be the same as the length of the rectangle which is 17. (17 x 8) / 2 = 68

221 + 68 = 289

Answer 2

Answer:

Answer is B. 289.....

Answer:

The number of gold fishes which are more than guppies are:

Step-by-step explanation:

Let the number of guppies in the fish tank =x

and it is given that:

There are 6 times as many goldfish as guppies.

This means that the number of goldfishes in the tank are: 6x

Also, it is given that:

There are a total of 21 fish in the tank.

i.e.

$x+6x=21\n\ni.e.\n\n7x=21\n\nx=(21)/(7)\n\nx=3$

Hence,

The number of goldfish in the tank = 6×3 = 18 goldfishes.

and number of guppies in the tank = 3

This means that:

There are 15 (18-3=15) more goldfishes in the tank then guppies.

There are 15 moregoldfish than guppies in Sean's fish tank.

We have,

Let's assume the number of guppies in the tank is 'g'.

According to the given information, the number of goldfish is 6 times the number of guppies, which can be expressed as:

Number of goldfish = 6g

The total number of fish in the tank is given as 21:

Number of goldfish + Number of guppies = 21

Substituting the expression for the number of goldfish, we get:

6g + g = 21

Combining like terms, we have:

7g = 21

To solve for g, we divide both sides of the equation by 7:

g = 21 / 7

g = 3

Therefore, there are 3 guppies in the tank.

To find the number of goldfish, we substitute the value of g back into the expression for the number of goldfish:

Number of goldfish = 6g

Number of goldfish = 6 * 3

Number of goldfish = 18

The difference between the number of goldfish and guppies is:

Number of goldfish - Number of guppies = 18 - 3 = 15

Therefore,

There are 15 moregoldfish than guppies in Sean's fish tank.

Learn more about expressions here:

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If x^(2) - 2 = 2^(2/3) + 2(-2/3) prove that x = 2^(1/3)+2^(-1/3)

Answers

Step-by-step explanation:

x² - 2 = 2^(2/3) + 2^(-2/3)

x² = 2^(2/3) + 2 + 2^(-2/3)

x² = (2^(1/3))² + 2 × 2^(1/3) × 2^(-1/3) +

(2^(-1/3))² (It is in the form of a²+2ab+b²)

x² = (2^(1/3) + 2^(-1/3))²

x = 2^(1/3) + 2^(-1/3)

In a school of 260 children, 55% are girls. How many girls are there? At the same school, 10% of children leave for a school trip. How many pupils go on the trip?

Answers

Number of children in a school = 260
Percentage of girls in the school = 55%
Number of girls in the school = (55/100) * 260
      = 14300/100
   = 143
So there were 143 girls in the school among 260 children
Percentage of children going for the school trip = 10%
Then
Number of students going for the school trip = (10/100) * 260
      = 26
So 26 children are going for the school trip. I hope the procedure is clear enough for you to face similar problems in future.

260 children* (55/100)= 143 students.
There are 143 girls~

260 children* (10/100)= 26 students.
26 students go on the trip~

Hope this helps~

Find the standard equation of a circle that satisfies the conditions. Radius 5, center (1,negative 3)