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3 years ago

10

Farmer Bob is trying to figure out how much space he has for his garden. If the sides of the garden are 10 ft and 50 ft, what is

the area of his garden? Question 4 options: 60 sq ft 150 sq ft 500 sq ft 700 sq ft

1 answer:

Svetach [21]3 years ago

5 0

The area of the garden 10 ft•50 ft= 500 sq ft

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Some body can help me with a geometric mean maze

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

$x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.$

2. South-East point from the Start: By the 2nd theorem,

$x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.$

3. West point from the previous: By the 2nd theorem,

$x^2=(32-20)\cdot 32=4\cdot 3\cdot 16\cdot 2\Rightarrow x=2\cdot 4\cdot \sqrt{6}=8\sqrt{6}.$

4. West point from the previous: By the 1st theorem,

$9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.$

5. West point from the previous: By the 2nd theorem,

$10^2=8\cdot (8+x)\Rightarrow 8+x=12.5,\ x=4.5.$

6. North point from the previous: By the 1st theorem,

$x^2=48\cdot 6=6\cdot 4\cdot 2\cdot 6\Rightarrow x=6\cdot 2\cdot \sqrt{2}=12\sqrt{2}.$

7. East point from the previous: By the 2nd theorem,

$x^2=22.5\cdot 30=225\cdot 3\Rightarrow x=15\sqrt{3}.$

8. North point from the previous: By the 1st theorem,

$x^2=7.5\cdot 36=270\Rightarrow x=3\sqrt{30}.$

8. West point from the previous: By the 2nd theorem,

$x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.$

9. North point from the previous: By the 1st theorem,

$12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.$

101. East point from the previous: By the 1st theorem,

$6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.$

11. East point from the previous: By the 2nd theorem,

$20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.$

12. South-east point from the previous: By the 2nd theorem,

$18^2=x\cdot 21.6\Rightarrow x=15.$

13. North point=The end.

6 0

3 years ago

Work out the percentage change to 2 decimal places when a price of £57.99 is decreased to £49.99.

IRISSAK [1]

Answer:

Percentage change in price = 13.80%

Step-by-step explanation:

Given that:

Original price = £57.99

Decreased price = £49.99

Difference = Original price - Decreased price

Difference = 57.99 - 49.99

Difference = £8.00

Percent change = $\frac{Difference}{Original\ price}100$

Percent change = $\frac{8.00}{57.99}*100$

Percent change in price = 13.80%

Hence,

Percentage change = 13.80%

5 0

3 years ago

Sam has traveled 33 miles and knows that 55% of his trip is complete.How many total miles is Sam's trip?

ahrayia [7]

60 miles in total.
to find percentages, you divide the part by the whole, so 33/60 = .55, which you then move the decimal over two places and read as a percentage

5 0

3 years ago

What is the degree of <br>f (x) = -5x <br>it is a linear function?<br>What is the m and b?

IRINA_888 [86]

Answer:

The degree is 1

It is a linear function

m = -5 and b = 0

Step-by-step explanation:

Here, we want to get the degree of the equation

As we can see, it is a linear function with the highest power of as 1

That means it is of degree 1

Comparing with the general form;

y = mx + b

m = -5

b = 0

3 0

3 years ago

Glen invited 25 people to his birthday party.

Trava [24]

Answer:

20% of the invited people did not attend

Step-by-step explanation:

5 out of 25 people invited didn't attend Glen's party. That means the following:

$\frac{5}{25}$ people didn't come which simplifies to $\frac{1}{5}$

Multiply $\frac{1}{5}$ by the giant one $\frac{20}{20}$ so the denominator is 100 which is the denominator used to find percentages.

You end up with $\frac{20}{100}$

$\frac{20}{100}$ = 20%

8 0

2 years ago