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2 years ago

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Mathematics

1 answer:

Roman55 [17]2 years ago

8 0

Answer:

88m of fencing

Step-by-step explanation:

the cicumference of the garden is what we are looking out for,

and with the raduis .ie.14m

C=2πr

C=2•22/7•14

C=88m

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A small boat traveled 29.5 miles upstream in 2 hours. The same boat took 3 hours to travel 59.25 miles downstream. If the speed

mel-nik [20]

Answer:

boat speed: 17.25 mph
current: 2.5 mph

Step-by-step explanation:

Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...

speed = distance/time

b-c = 29.5/2 = 14.75 . . . . . miles/hour

b+c = 59.25/3 = 19.75 . . . .miles/hour

Subtracting the first equation from the second, we get ...

(b+c) -(b-c) = 19.75 -14.75

2c = 5

c = 2.5

Then either equation can be used to find b:

b = 14.75 +c = 17.25

The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

5 0

3 years ago

Benny gets a job at a law firm with a salary of $70,000 per year. After the first year, his salary increases to $73,000. Over th

KonstantinChe [14]

The answer is 88,000

5 0

3 years ago

OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is th

bazaltina [42]

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

$The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}$

$\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2$

$\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2$

$\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2$

Therefore, the scale factor = 2

6 0

2 years ago

(8,1) and (x,3) The pair of points is on the graph of an inverse variation. Find the missing value.

Gelneren [198K]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf (\stackrel{x}{8},\stackrel{y}{1})\textit{ we know that }
\begin{cases}
x=8\\
y=1
\end{cases}\implies 1=\cfrac{k}{8}\implies 8=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{8}{x}}
\\\\\\
(x,\stackrel{y}{3})\textit{ when y = 3, what is \underline{x}?}\qquad 3=\cfrac{8}{x}\implies x=\cfrac{8}{3}$

3 0

3 years ago

What is 66% of $1,678.89 plus 7.5% tax?

schepotkina [342]

50% of 1,678.89 = 839.445
10% = 167.889
5% = 83.9445
1% = 16.7889
.5% = 8.39445
Therefore 66% = 1108.0674
and 7.5% = 125.91675
So the two added together is: 1233.98415
To get the percentages simply do the following
50% = divide by two
10% = divide 50% by five OR divide the original number by 10
5% = divide 10% by two or divide 50% by 10
1% = divide 5% by 5 or divide original by 100
.5% = divide 1% by two

4 0

3 years ago