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3 years ago

Can you guys plz help ASAP

Mathematics

2 answers:

yuradex [85]3 years ago

6 0

It’s y = 1/8x - 3, so the first answer

adell [148]3 years ago

3 0

Y = - 1/8 -3
In the question you need to subtract x from both sides then divide -8 from -x and 24

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The length of a rectangular garden is 6 more than its width. If the perimeter is 32 feet, what is the width and the area of the

PolarNik [594]

Answer:

${\fbox{ \sf{Width \: of \: a \: rectangular \: garden \: = 5 \: feet}}}$

$\boxed{ \sf{ \: Area \: of \: a \: rectangular \: garden = 55 {ft}^{2}}}$

Step-by-step explanation:

$\star$ Let the width of a rectangular garden be 'w'

$\star$ Length of a rectangular garden = 6 + w

$\star$ Perimeter of a rectangular garden = 32 feet

 $\longrightarrow$ Finding the width of a rectangular garden :

$\boxed{ \sf{ \: Perimeter \: of \: a \: rectangle \: = \: 2(length + width}}$

$\mapsto{ \text{32 = 2(6 + w + w)}}$

$\text{Step \: 1 \: : Collect \: like \: terms}$

Like terms are those which have the same base

$\mapsto{ \text{32 = 2(6 + 2w) }}$

$\text{Step \: 2 \: : Distribute \: 2 \: through \: the \: parentheses}$

$\mapsto{ \text{32 = 12 + 4w}}$

$\text{Step \: 3 \: : Swap \: the \: sides \: of \: the \: equation}$

$\mapsto{ \text{4w + 12 = 32}}$

$\text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \text{4w = 32 - 12}}$

$\text{Step \: 5 \: : Subtract \: 12 \: from \: 32}$

$\mapsto{ \sf{4w = 20}}$

$\text{Step \: 6 \: : Divide \: both \: sides \: by \: 4}$

$\mapsto{ \sf{ \frac{4w}{4} = \frac{20}{4}}}$

$\text{Step \: 7 \: : Calculate}$

$\mapsto{ \text{w = 5}}$

Width of a rectangular garden = 5 feet

$\longrightarrow$ Substituting / Replacing the value of w in 6 + w in order to find the length of a rectangular garden

$\mapsto{ \sf{Length = 6 + w = 6 + 5 = \bold{11 \: feet} }}$

$\longrightarrow$ Finding the area of a rectangular garden having length of 11 feet and width of 5 feet :

$\boxed{ \sf{Area \: of \: a \: rectangle = length \:∗ \: width}}$

$\mapsto{ \text{Area \: = \: 11 \: ∗ \: 5}}$

$\mapsto{ \sf{Area \: = 55 \: {ft}^{2} }}$

Area of a rectangular garden = 55 ft²

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

6 0

3 years ago

Does anyone know how to do this ??? -view attachment

cricket20 [7]

As soon as I read this, the words "law of cosines" popped
into my head. I don't have a good intuitive feeling for the
law of cosines, but I went and looked it up (you probably
could have done that), and I found that it's exactly what
you need for this problem.

The "law of cosines" relates the lengths of the sides of any
triangle to the cosine of one of its angles ... just what we need,
since we know all the sides, and we want to find one of the angles.

To find angle-B, the law of cosines says

   b² = a² + c² - 2 a c cosine(B)

B = angle-B
b = the side opposite angle-B = 1.4
a, c = the other 2 sides = 1 and 1.9

(1.4)² = (1)² + (1.9)² - (2 x 1 x 1.9) cos(B)

   1.96 = (1) + (3.61) - (3.8) cos(B)

Add 3.8 cos(B) from each side:

   1.96 + 3.8 cos(B) = 4.61

Subtract 1.96 from each side:

   3.8 cos(B) = 2.65

Divide each side by 3.8 :

cos(B) = 0.69737 (rounded)

Whipping out the
trusty calculator:
   B = the angle whose cosine is 0.69737

      = 45.784° .

Now, for the first time, I'll take a deep breath, then hold it
while I look back at the question and see whether this is
anywhere near one of the choices ...

By gosh ! Choice 'B' is 45.8° ! yay !
I'll bet that's it !

8 0

3 years ago

Salvador inherited $20,000 and he plans to invest into a savings account that earns 6% interest compounded annually. Assuming he

Scilla [17]

It’s 15,816.95. That the answer

4 0

3 years ago

Margaret drank 1/6 of a 36oz. bottle of soda. She gives the

podryga [215]

Sorry man but I have no idea you could try google

4 0

3 years ago

What are the real and imaginary parts of z ? z = 32 + 41.9i

goblinko [34]

Answer:

The real part is 32, while the imaginary part is 41.9

Step-by-step explanation:

z is a complex number. A complex number is made up of real and imaginary parts.

The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.

i is actually equal to $\sqrt{-1}$ . There is no solution for that.

Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.

Note: the imaginary part does not contain i.

5 0

3 years ago