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2 years ago

Rafael is building a fence around his garden. For every 3 feet of fencing, the cost is $18.

Mathematics

2 answers:

dangina [55]2 years ago

5 0

Answer:

30/18 = 1.666666667 x 3

1. 5/30

7/5 = 1.4 x 30 = 42

2. 7/42

48/42 = 1.4285714286 x 7 = 8

3. 8/48

10/8 = 1.25 x 48 = 60

4. 10/60

Step-by-step explanation:

you can use a equavilent fractions or ratios calculator to make sure this is 100% correct.

Dmitrij [34]2 years ago

4 0

Answer:

4 = 30

7 = 42

8 = 48

10 = 60

Step-by-step explanation:

The first thing you'll want to do is find the price for 1 foot of fencing.

18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!

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xenn [34]

Answer:

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Step-by-step explanation:

y = 2(x+3) = 2x + 6 or 2x - y = -6

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2 years ago

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$

Comparing equations (A) and (B), we have

$5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.$

Thus,

$AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.$

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3 years ago

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harina [27]

Answer:

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Step-by-step explanation:

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2 years ago

The hypotenuse of a right triangle is twice the length of one of its legs. Th length of the other leg is three feet. Find the le

IgorLugansk [536]

Let
x----> the length side of the hypotenuse
y----> the length side of the <span>unknown leg

we know that
x=2*y----> equation 1
applying the Pythagoras Theorem
x</span>²=y²+3²-----> equation 2

substitute equation 1 in equation 2
[2*y]²=y²+3²----> 4*y²-y²=9-----> 3*y²=9----> y²=3
y=√3 ft
x=2*y----> x=2*√3 ft

the answer is
<span>the lengths of the three sides are
</span>hypotenuse=2√3 ft
one leg=√3 ft
other leg=3 ft

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3 years ago