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2 years ago

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v A square garden has an area of 110 square feet. a. What is the approximate length of one side of the garden? Round to the near

est tenth.

1 answer:

tankabanditka [31]2 years ago

8 0

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One number is 4 times as large another. The sum of their reciprocals is 45/4. Find the two numbers

Reptile [31]

Let,
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)

$\frac{1}{x} + \frac{1}{y}= \frac{45}{4}$ ...................................equation (2)

Taking equation (2)
$\frac{1}{x} + \frac{1}{y}= \frac{45}{4}$

Substituting the value of "x" from equation (1), we get,

$\frac{1}{(4y)} + \frac{1}{y}= \frac{45}{4}$

$\frac{1}{4y} + \frac{1}{y}* \frac{4}{4} = \frac{45}{4}$

$\frac{1}{4y} + \frac{4}{4y}= \frac{45}{4}$

$\frac{1+4}{4y} = \frac{45}{4}$

$\frac{5}{4y} = \frac{45}{4}$

Cross multiplying, we get,

$5*4 = 45*4y$

$20 = 180y$
<u />
$\frac{20}{180} = y$

$\frac{1}{9} = y$

$y = \frac{1}{9}$

Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get

$x = 4( \frac{1}{9} )$

$x= \frac{4}{9}$

So, the numbers are $\frac{1}{9}$ and $\frac{4}{9}$

7 0

2 years ago

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Rate and Ratios IF 3 kg of potatoes cost R24. How much will 7 kg of potatoes cost

balu736 [363]

Answer:

7kg of potatoes cost 56 R (dollars)

Step-by-step explanation:

First, we have to find the unit price of 1kg of potatoes. To do this we divide <em>24 by 3</em>. That's <em>8</em>. Each kg of potato costs 8 dollars.

Now, all we have to do is multiply <u><em>8 by 7</em></u>.

8 is the unit rate/kg and 7kg is the amount they are asking.

<u><em>8x7=56</em></u>

7kg of potatoes cost 56R

4 0

1 year ago

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Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

mojhsa [17]

The Slope of "<span>2x - 3y - 5 = 0" is:

m = 2/3.

Use the mx+y formula to solve this question.

The correct answer is: B

This is a verified answer. </span>

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2 years ago

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The Empire State Building weights about 7.3 x 10 ^8

kvasek [131]

Answer:

730000000 lbs?

Step-by-step explanation:

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2 years ago

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Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .

Katyanochek1 [597]

Answer:

a)The component form is

$\vec {QP}=\binom{ - 1}{ - 8}$

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

$\vec {QP}=\vec {OP}-\vec{OQ}$

We substitute the position vectors to get:

$\vec {QP}=\binom{ - 8}{7} - \binom { - 7}{15}$

We subtract the corresponding components to obtain:

$\vec {QP}=\binom{ - 8 - - 7}{7 - 15}$

This gives:

$\vec {QP}=\binom{ - 8 + 7}{7 - 15}$

This simplifies to:

$\vec {QP}=\binom{ - 1}{ - 8}$

The magnitude of a vector in the component form:

$\binom{x}{y}$

is

$\sqrt{ {x}^{2} + {y}^{2} }$

This means:

$|\vec {QP}|= \sqrt{ {( - 1)}^{2} + {( - 8)}^{2} }$

This simplifies to:

$|\vec {QP}| = \sqrt{ 1 + 64 }$

$|\vec {QP}| = \sqrt{ 65 }$

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0

2 years ago