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Brums [2.3K]
2 years ago
10

Tyler has a rectangular garden measuring 12m by 20m that he wants to split diagonally from corner to corner using a fence. How l

ong does his fence need to be? Round your answer to the nearest tenth.
Mathematics
2 answers:
VARVARA [1.3K]2 years ago
8 0

Answer:

Length of diagonal of the rectangle=

√( length) ²+( breadth) ²

=√(20) ²+(12) ²

=√400+144

√544 m

. '. Length of fence= √544 m

Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)

=(32+√544) m

Sergeeva-Olga [200]2 years ago
5 0

Answer:

23.32 m to the nearest hundredth.

Step-by-step explanation:

Use the Pythagoras theorem:

The diagonal is the hypotenuse of the right angled triangles formed.

x^2 = 12^2 + 20^2

x^2 = 544

x = 23.32 m.

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A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover?
Black_prince [1.1K]
1 gal = 400 ft²
2 3/8 gal = ? ft²

to solve, use similar ratios with units gal/ft² and compare

(1)/(400) = (2 3/8)/(x)

*multiply both sides by (x) and divide both sides by (1)/(400), you get:

x = (400)*(2 3/8)/(1) = 400*(2 3/8) = 400*2 + 400*3/8 = 800 + 150 = 950 ft²

<u><em>answer is 950 ft²</em></u>

8 0
2 years ago
Students were asked to write 6x^5 + 8x-3x^3+7x^7 in standard form
WINSTONCH [101]

Answer:

The standard form is 7x^7 +6x^5-3x^3 + 8x

Step-by-step explanation:

Given:

6x^5 + 8x-3x^3+7x^7

To Find :

standard form of 6x^5 + 8x-3x^3+7x^7

Solution:

A polynomial is in standard form when its term of highest degree is first, its term of 2nd highest is 2nd etc.

In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write.

Now lets check the degree of each term in the polynomial

The degree of 6x is 5

The degree of 8x is 1

The degree of 3x is 3

 The degree of 7x is 7

Now rewrite  the polynomial in the order of the degree, from highest to lowest

7x^7 +6x^5-3x^3 + 8x

4 0
2 years ago
Triangle ABC has been transformed into triangle A'B'C'. The algebraic formula for this transformation is
Zielflug [23.3K]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
mezya [45]
From the steps Talia chooses to find the equation of the line, we shall evaluate the incorrect step as follows:
Step 1:
Choose a point in the line such as (2,5)
Step 2:
<span>Choose another point on the line, such as (1, 3)
step 3:
</span><span>Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is. 
(5-3)/(2-1)=2/2=1
step 4:
</span><span> Substitute those values into the point-slope form
y-y1=m(x-x1)
y-3=2(x-1)
y=2x+1
Thus the answer is:
</span><span>Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form</span>
4 0
2 years ago
Read 2 more answers
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The cost of Haley’s cell phone bill ca
Svet_ta [14]
The domain is
{x | x >=0}
Or simply [0, infinity)
Since Haley can not use any negative minutes.

The range is
{y | y >=20}
Or simply [20, infinity)
This is because if Haley doesn't use any minutes, the price will stay at $20.
Let me know if you have any questions.
3 0
2 years ago
Read 2 more answers
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