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3 years ago

How do you write the number 1.8 x 103 in standard form.

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Answer:

1,800

Step-by-step explanation:

Moved the decimal 3 spaces to the right.

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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

2 years ago

Solve the following for x

levacccp [35]

Answer:

x = 9

Step-by-step explanation:

50+80+(6x-4)=180 (ANGLE SUM PROPERTY)

130 +(6x-4)=180

6x-4=180-130

6x-4=50

6x=50+4

x=54/6

x = 9

4 0

3 years ago

Factor out 3^2 ^3−18^2 ^4

34kurt

The factor of three is six factor of two is to 3 is three factor of two is 22 is four and poster of four is 22 Answer

3 0

2 years ago

I need loads of help!! If you know how to do this please help me!!!<br><br> It’s 6 and 7

dlinn [17]

6- comedy and action
7- .75

8 0

2 years ago

8z=4(2z+1) show step by step

Verizon [17]

8z=4(2z+1)
First you would distribute the constant into the numbers in the parentheses. so
8z=8z+4
then you would combine like terms which in this case would result in a zero.
8z-8z=0 So the z would be zero or no solution.

5 0

2 years ago