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3 years ago

14

Nancy’s rectangular garden is represented in the diagram below.

1 answer:

Olin [163]3 years ago

5 0

Answer:

Seventeen (17) feet long

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If 2k - 3 = 9 (k+7)-3 then k is ????

m_a_m_a [10]

Answer:

k= -9

Step-by-step explanation:

2k-3=9k+63-3 [expand the 9(k+7) first]

2k-9k=63-3+3 [put the like terms together]

-7k=63 [do the simple math]

k= 63 ÷ by -7

k=-9

4 0

3 years ago

Read 2 more answers

3<br>Find the value of a <br>in the equation,(3+4√3)(2-a√3)=-18+2√3

ankoles [38]

Given:

The equation is:

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

To find:

The value of a.

Solution:

We have,

$\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}$

On simplification, we get

$(3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}$

$6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}$

$(6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}$

On comparing both sides, we get

$6-12a=-18$

$-12a=-18-6$

$a=\dfrac{-24}{-12}$

$a=2$

And,

$8-3a=2$

$-3a=2-8$

$a=\dfrac{-6}{-3}$

$a=2$

Therefore, the value of a is 2.

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3 years ago

HELP ME OUT HERE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Shtirlitz [24]

Shifted up 8 and right 7

answer
B. second option

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4 years ago

What is the common ratio for this geometric sequence 27,9,3,1<br>A.1/6<br>B.6<br>C.3<br>D.1/3

iris [78.8K]

It will be D!!!!!!!!!!!!!!!!!!!!!!!!!

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4 years ago

Read 2 more answers

An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sin

abruzzese [7]

Triangle ABC and triangle DCE are congruent, so line DE = line AB

Use the cosine rule to find angle ACB
$52.2^{2}= 50^{2}+ 70^{2}-(2*50*70*cos(ACB))$
$2724.84=7400-(7000cos(ACB))$
$2724.84-7400=-7000cos(ACB)$
$-4675.16=-7000cos(ACB)$
$\frac{4675.16}{7000}=cos(ACB)$
$Angle ACB= cos^{-1} ( \frac{4675.16}{7000})$
Angle ACB = 48.1°

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3 years ago