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2 years ago

34 123 006 expanded form

Mathematics

1 answer:

ololo11 [35]2 years ago

3 0

Thirty four million one hundred twenty three thousand six

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I don’t understand how to solve this

Bezzdna [24]

Answer:

42.1

Step-by-step explanation:

The height of the main triangle is,

h = 47√3/2 (since it's an 30-60-90 triangle)

so to find x,

tan(44) = h/x

x = h/tan(44)

x = 42.1 (rounded to the nearest tenth)

Answered by GAUTHMATH

8 0

2 years ago

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

kvv77 [185]

Answer:

Angle A must be acute.

Explanation:

Both angle A and C must be acute. The sum of the angles in a triangle is 180°.

An obtuse angle is more than 90°, so the sum of the remaining 2 angles has to be less than 90°.

Note that it is impossible to have:

2 right angles in a triangle, because 90°+90°=180° and the third angle still needs to be added.1 obtuse and 1 right angle in a triangle, their sum is more than 180°2 obtuse angles in a triangle, their sum is more than 180°

It is possible to have an obtuse-angled isosceles triangle, but the vertex angle must be obtuse and the equal base angles will be acute.

8 0

2 years ago

Which statement best describes the function h(t) = 210 – 15t? h is the function name; h(t) is the input, or independent variable

vazorg [7]

The function h(t) = 210 – 15t has the slope-intercept form of the equation of a straight line. The y-intercept represents the amount h at the very beginning (when t=0). The negative slope (-15) represents the amount by which h will decrease if t is increased by 1.

We are manipulating the value of time, t, so time, t, is the independent variable, and h(t) = y is the dependent variable.

8 0

2 years ago

Read 2 more answers

Simplify: 8i^7+6i^5-5i^3-3i^2-7i-9

Dmitry_Shevchenko [17]

Consider the remainder of the division of the power exponent of i by 4.
For a remainder r equal to 0, 1, 2 or 3, we have a power equal to 1, i, -1 or -i respectively, therefore:

 $8i^7+6i^5-5i^3-3i^2-7i-9 =$
$8*(-i) + 6*i - 5*(-i) - 3*(-1) - 7i - 9 =$
$- 8i + 6i + 5i + 3 - 7i - 9 =$
$3 - 9 - 8i + 6i + 5i- 7i =$
$=\boxed{- 6 - 4i}$

Answer:
$\boxed{- 6 - 4i}$

5 0

2 years ago

The coordinates of parallelogram UVWZ are U(a, 0), W(c - a, b), and Z(c, 0). Find the coordinates of V without using any new var

UkoKoshka [18]

Check the picture below.

so, as you can see, the UV segment is parallel to ZW, and therefore, they're the same slope, hmmm wait just a second, what is the slope of ZW anyway?

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&Z&(~ c &,& 0~) 
% (c,d)
&W&(~ c-a &,& b~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{b-0}{(c-a)-c}\implies \cfrac{b}{-a}$

since now we know the ZW slope, we also know what is the slope for UV, thus,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&U&(~ a &,& 0~) 
% (c,d)
&V&(~ x &,& y~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-0}{x-a}~~=~~\stackrel{ZW's~slope}{\cfrac{b}{-a}}
\\\\\\
\begin{cases}
y-0=b\implies \boxed{y=b}\\
-----------\\
x-a=-a\implies \boxed{x=0}
\end{cases}\qquad \qquad V~(0,b)$

8 0

3 years ago