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Talja [164]
4 years ago
6

1. the sides of an angle are _____. (1 point) 2. when using three letters to name an angle, the middle letter represents the ___

_. (1 point) 3. a(n) _____ is a tool used to measure angles. (1 point) 4. angles are measured in units of _____. (1 point) 5. there are _____ methods for naming angles. (1 point)
Mathematics
1 answer:
Evgesh-ka [11]4 years ago
4 0
1, straight
2, the point in which the angle is
3, protractor 
4, degrees
5, 5
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.Find (g o f)(x) for f(x) = 2x + 4 and g(x) = x^2 . Show all of your work, it'll help me for my next one ! (: thanks
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An axiom in Euclidean geometry states that in space, there are at least ||BLANK||
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An axiom in Euclidean geometry states that in space, there are at least two three four five lies in the same plane not lie in the same plane lie on the same line

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APPLICATIONS
n200080 [17]

Answer:

(a) (4,9), (8,14).; (b) 1.25 in/h; (c) d = 1.25h + 4 ; (d) 4 in; (e) 19 in

Step-by-step explanation:

(a) Information as coordinate pairs

4 h,  9 in ⟶ (4, 9)

8 h, 14 in ⟶ (8,14)

The coordinates of the two points are (4,9), (8,14).

(b) Slope of the line

\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\  & = & \dfrac{14 - 9}{8 - 4}\\\\& = & \dfrac{5}{4}\\\\& = & \mathbf{1.25}\end{array}

The slope of the line is 1.25 in/h

(c) Equation of the line

\begin{array}{rcl}d & = & mh + b\\9 & = & \dfrac{5}{4} \times 4 + b\\\\9& = & 5 + b\\b & = & \mathbf{4}\\\end{array}

The y intercept is at (0,4)  

d = 1.25h + 4

(d) Depth when snowfall began

\begin{array}{rcl}d &= &\text{0 h } \times \dfrac{\text{1.25 in}}{\text{1 h}} \text{+ 4 in}\\\\&= &\text{0 in+ 4 in}\\& = &  \textbf{4 in}\\\end{array}

The depth was 4 in when the snowfall began.

(e) Depth after 12 h

\begin{array}{rcl}d &= &\text{12 h } \times \dfrac{\text{1.25 in}}{\text{1h}} \text{+ 4 in}\\\\&= &\text{15 in+ 4 in}\\& = &  \textbf{19 in}\\\end{array}

The depth would be 19 in after 12 h.

The figure below is a graph of your function. It shows that the depth was 4 in at the start of the snowfall, that it increases by 5 in every 4 h, and predicts a depth of 19 in after 12 h.

8 0
3 years ago
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