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3 years ago

What is the relationship between angle 8 and angle 4

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

Corresponding angles.

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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five

garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be x yards.

So, the length of the diagonal is $x+5$

width of the rectangular corral is $3x$

We know that the square of the diagonal is sum of the squares of the length and width.

So,

$(3x)^{2} +x^{2} =(x+5)^{2}$

$9x^{2} +x^{2} =x^{2}+10x+25$

$9x^{2}-10x-25=0$

$x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}$

$x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}$

$x=\frac{10\pm\sqrt{100}}{18}$

Since, side can't be negative.

$x=\frac{5}{9}+\frac{5}{9}\sqrt{10}$

Now, length of the diagonal is

$5+\frac{5}{9}+\frac{5}{9}\sqrt{10}$

Hence, length of diagonal is 7.3 yards.

4 0

3 years ago

If an object weighs 120 pounds on earth how much will it way on mars

butalik [34]

The surface gravity of Mars is 3.7 m/s². On Earth it is 9.8 m/s². 3.7/9.8 = 38%.

So 38% of 120 lbs is 45 pounds.

8 0

3 years ago

What is the approximate percent decrease from 1,865 to 1,240?

bearhunter [10]

Answer: 33.5

Step-by-step explanation: this question is on brainly lol but nobody explained it

1865 - 1240 = 625

Divide 625 by 1865 (626 goes first)

The answer is 0.335 move the decimal 2x forward

33.5

4 0

3 years ago

Read 2 more answers

Please Answer ASAP

Nat2105 [25]

Answer:

use a ratio

Step-by-step explanation:

you work 10 hours and make $25. How much do you earn per hour? (this is your unit rate.)

10 hours

$25

divide and you get an answer of $2.50 per hour

to check your answer work the problem backwards, take $2.50 times 10 hours = $25

6 0

3 years ago

Read 2 more answers

What seven divided by 4

Naddik [55]

Answer:

1.75

Step-by-step explanation:

$\frac{7}{4} = 1 \frac{3}{4} = 1.75$

7 0

3 years ago

Read 2 more answers