Steve is turning half of his backyard into a chicken pen. His backyard is a 24-meter by 45-meter rectangle. He wants to put a chicken wire fence along the west side of the yard, the south side of the yard, and along the diagonal connecting the northwest to the southeast corner of the yard. How many meters of fencing will Steve need to fully enclose this area?
Answers
TOTAL; 51+24+45=120m of fencing
Answer:
51 meters
Step-by-step explanation:
We can use the Pythagorean Theorem to find the length of the diagonal line.
The equation for the Pythagorean Theorem is
a^2 + b^2 = c^2a
2
+b
2
=c
2
a, squared, plus, b, squared, equals, c, squared
where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.
In this case a=24,b=45,a=24,b=45,a, equals, 24, comma, b, equals, 45, comma and c=xc=xc, equals, x.
Hint #33 / 4
\begin{aligned} 24^2+45^2 & = x^2\\ 576+2025 & = x^2\\ 2601 & = x^2\\ \sqrt{2601} & = x\\ 51 & = x \end{aligned}
24
2
+45
2
576+2025
2601
2601
51
=x
2
=x
2
=x
2
=x
=x
Hint #44 / 4
Steve will need 515151 meters of fencing.
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Answers
12 x 9 = 108 and
27 x 4 = 108 .
So she has to buy 9 packs of cards ... 108 of them ... and 4 packs of envelopes.
Answers
Answer: 5 containers
Step-by-step explanation:
Step 1
Given that
Total amount of potato salad = 10 1/2
amount of salad in each container = 2 1/4
Total number of containers = ?
Step 2
Divide the total amount of potato salad by the amount of salad each container can hold
Total number of containers=10 1/2 / 2 1/4 = 21/2 x 4/9= 84/18 = 4 3/5
which can also be written as 10.5 / 2.25= 4.6
Sheila will need 5 containers because 4 will be filled and additional 1 will be partially filled.
Answers
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
The rule of the slope of the line is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = =
= 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
Answers
Answers
Addition:John asks for 2/8 of Riley's cake. Jake gives John 3/6 of his cake. How much cake does John have all together? 2/8+3/6=3/4. 3/4ths in the decimal form is 0.75. That is a Terminating decimal.
Subtraction:Chris threw away 7/12 of his pizza. His buddy James threw away 5/8 of his pizza.How much pizza did they throw away? 7/12-5/8=-1/24. the decimal form is:0.041666667. Hope That helps!!!! :)
Answers
Answer:
x=70
Step-by-step explanation:
Since they are supplementary angles (180°)
45° + (2x-5)° = 180°
(2x-5)° = 180° - 45°
(2x-5)° = 135°
2x° = 135° + 5°
2x° = 140°
x° = 140/2°
x° = 70°
Since they are supplementary angles (180°)
45° + (2x-5)° = 180°
(2x-5)° = 180° - 45°
(2x-5)° = 135°
2x° = 135° - 5°
2x° = 130°
x° = 130/2°
x° = 65°