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andre [41]
2 years ago
5

If √(0.09×0.09×x) = 0.09 × 0.09×√z, then the value of x/y is____.​

Mathematics
1 answer:
OLEGan [10]2 years ago
3 0

Given that-

√(0.09×0.09×x) = 0.09×0.09×√z

On squaring both sides then

⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²

⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²

⇛ (0.09)² × x = (0.09)²×(0.09)²×z

⇛ (0.09)² × x/z = (0.09)²×(0.09)²

⇛x/z = (0.09)²×(0.09)²/(0.09)²

⇛x/z = (0.09)²

⇛x/z = 0.09×0.09

⇛x/z = 0.0081

<u>Answer</u><u>:</u><u>-</u> Hence the value of x/z will be 0.0081 r respectively.

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A rectangular vegetable patch has an area of 56 square meters and a
vredina [299]

Answer:

The dimensions of the vegetable patch is 8 m by 7 m.

Step-by-step explanation:

Area of a vegetable patch is 56 square meters and the perimeter is 30 m.

If l is length and b is breadth, then area and perimeter of a rectangle is given by :

A=l\times b

P=2(l+b)

Substituting the values in the above formulas as :

l\times b=56\ ....(1)

and

2(l+b)=30\\\\l+b=15\ .....(2)

We need to solve equation (1) and (2) to find the values of l and b such that :

Equation (2), l = 15 - b

Equation (1) becomes,

(15-b)b=56\\\\b=7\ m, 8\ m

If b = 7 m, so, l = 8 m

If b = 8 m, l = 7 m

So, the dimensions of the vegetable patch is 8 m by 7 m.

4 0
3 years ago
Can the mixed fraction 3 and 5/7 be changed into a decimal? Explain how in complete sentences.
pashok25 [27]

Answer:

Yes (3.71428571429)

Step-by-step explanation:

all mixed numbers and fractions can be changed into decimals. The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

3 0
3 years ago
Graph the equation y=x+3
Mars2501 [29]
Graph of the equation y=x+3 is shown

8 0
3 years ago
Pls hyelp. Me needs hyelp palease . Preciate it. Hehehehehehehehehe
klio [65]

Answer:

Step-by-step explanation:

You want to factor out perfect squares if they exist.

1.\ \sqrt{36}=\sqrt{6^2}=6\\ \\ 2.\ \sqrt{40}=\sqrt{2^2(10)}=2\sqrt{10}\\ \\ 3.\ \sqrt{75}=\sqrt{3(5^2)}=5\sqrt{3}\\ \\ 4.\ \sqrt{120}=\sqrt{2^2(30)}=2\sqrt{30}\\ \\ 5.\ \sqrt{84}=\sqrt{2^2(21)}=2\sqrt{21}\\ \\ 6.\ \sqrt{48}=\sqrt{4^2(3)}=4\sqrt{3}

4 0
2 years ago
Read 2 more answers
The cables on either side of a pedestrian
galina1969 [7]

Answer:

6 ft

Step-by-step explanation:

Since the shape of the cables on the bridge are to open up, the standard equation of the parabola produced is given as:

(x - h)² = 4p(y - k)

Where (h, k) is the vertex and focus is at (h, k+p)

From the question, the point (0, 2) is the vertex and point (50, 27) lie on the parabola. Hence:

(x - 0)² = 4p(y - 2)

x² = 4p(y - 2).

Sinc the tower is 100 ft apart and 27 ft height, hence the point 100/2 = 50 ft and 27 ft lie on the parabola

To find p, use (50, 27)

50² = 4p(27 - 2)

2500 = 4p(25)

100p = 2500

p = 25

hence:

x² = 4(25)(y - 2)

x² = 100(y - 2)

At a point of 20 feet (i.e x = 20), y is the height of the cable, hence:

20²=100(y-2)

400 = 100y - 200

100y = 600

y = 6

The height is 6 ft at a point of 20 ft

7 0
2 years ago
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