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Ulleksa [173]
3 years ago
7

Give the standard form for 900.000 000 + 50 50.000 000 + 9.000 + 600 + 20 + 7

Mathematics
1 answer:
zvonat [6]3 years ago
4 0

Answer:

900.000 000 + 5050.000 000 + 9.000 + 600 + 20 + 7

=900+5050+9+600+20+7=6586 is standard one

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Use the triangle below to find the following trig ratios. Express your answer as a fraction.
Luda [366]

Answer:

Step-by-step explanation:

First we need the length of the hypotenuse.

20^2 + 21^2 = c^2

400 + 441 = c^2

841 = c^2

29 = c

If you are using angle B as your theta (angle from which the relations are formed:

a) sin = O/H = 20/29

b) cos = A/H = 21/29

c) tan = O/A = 20/21

5 0
3 years ago
Miranda is buying pencils and a writing pad for her adult writing class. The writing pad she wants costs $3.50, and each pencil
dezoksy [38]
$0.15/$3.50=$5/x Hope this helps :)
7 0
3 years ago
A heat source transfers 3000 J/sec to a metal part surface. The heated area is circular, and the heat intensity decreases as the
Annette [7]

Answer:

The resulting power density is enough to melt the metal.

Step-by-step explanation:

Given data:

Power = P = 3000 J/sec

diameter = d = 3.5 mm

Solution:

As we Know that Area = A = π r² ---- (1)

where r is radius.

Also Radius =  \frac{diameter}{2}

Putting the values of radius, π = 3.14 in equation 1, we get

A = 3.14 x (\frac{d}{2})²

A = 3.14 x (3.5/2)²

A = 9.62 mm²

As 75% of heat is concentrated in circular area then Power P becomes

P = 3000 J/sec x 75 %

As J/sec = Watt = W and 75 % = 3/4

so P = 3000 W x 3/4

P = 2250 W

As power density is represented by the formula:

Power density = PD = P/A

where P is Power and A is area.

So,

PD = P/A

Putting the values of Power and Area in above equation, we get

PD = 2250 W / 9.62 mm²

PD = 234 W/mm²

So, this power density is sufficient to melt the metal.

8 0
4 years ago
In an isosceles triangle, the legs can be represented by the expression 6x + 8 and the base can be represented by 2x – 6. Find t
Dmitry_Shevchenko [17]

Answer:

x = 3.5; perimeter = 59; area = 8

Step-by-step explanation:

isosceles means the two legs equal each other so use same expression later on

6x + 8 = 2x - 6

6x - 2x = -8 - 6

4x = -14

x = 3.5

plug x value in the first expression to find the two sides that are equivalent to each other

6(3.5) + 8

21 + 8

29

plug x value into the second expression (the base)

2(3.5) - 6

7 - 6

1

perimeter = side 1 + side 2 + side 3

perimeter = 29 + 29 + 1

perimeter = 59

area = base × height/2 or bh/2

first plug in x value into height expression

4x + 2

4(3.5) + 2

14 + 2

16

area = 1 × 16/2

area = 16/2

area = 8

8 0
3 years ago
G(x) = 4x2 – 3x + 7<br> Find g(3)<br> Simplify your answer
snow_tiger [21]

Answer:

32

Step-by-step explanation:

g(x) = 4x² - 3x + 7

g(3) = 4(3)² - 3(3) + 7

g(3) = 4(9) - 9 + 7

g(3) = 36 - 9 + 7

g(3) = 25 + 7

g(3) = 32

8 0
3 years ago
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