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love history [14]
3 years ago
10

A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then dr

ops 85 feet. On the second hill the coaster climbs 103 feet and then drops 110 feet. How far below or above the deck is the coaster after the completion of the two hills?
Mathematics
1 answer:
QveST [7]3 years ago
7 0

Answer:

14 feet below. the deck.

Step-by-step explanation:

That would be (20 + 78 - 85 +103 - 110 )  feet above the ground

= 6 feet above the ground.

That is 20 - 6 = 14 feet below the deck.

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A radio station has a broadcast area in the shape of a circle with equation x^2 + y^2 = 5, 625, where the constant represents sq
sergij07 [2.7K]

SOLUTION:

Given: Equation of a circle describing a radio station broadcast area.

\begin{gathered} x^2+y^2=5625 \\ \text{Comparing with the general equation of a circle:} \\ (x-a)^2+(y-b)^2=r^2 \\ \text{Where (a,b) represents the centre of the circle} \\ r\text{ represents the radius of the circle} \\ \text{Therefore,} \\ The\text{ centre is the origin (0,0)} \\ \text{radius,} \\ r^2=\text{ 5625} \\ \text{Square}-\text{root both sides} \\ \sqrt[]{r^2}=\text{ }\sqrt[]{5625} \\ r=\text{ 75 miles} \end{gathered}

To find:

A) Intercepts; x-intercept, y-intercept

\begin{gathered} x-\text{intercept} \\ \text{the value of x when y=0} \\ x^2_{}+y^2=5625 \\ x^2=5625 \\ \text{square}-\text{root both sides} \\ \sqrt[]{x^2}=\text{ }\sqrt[]{5625} \\ x=\text{ 75 miles} \end{gathered}\begin{gathered} y-\text{intercept} \\ \text{the value of y when x=0} \\ x^2_{}+y^2=5625 \\ y^2=5625 \\ \text{square}-\text{root both sides} \\ \sqrt[]{y^2}=\text{ }\sqrt[]{5625} \\ y=\text{ 75 miles} \end{gathered}

B) radius

\begin{gathered} r^2=\text{ 5625} \\ \text{Square}-\text{root both sides} \\ \sqrt[]{r^2}=\text{ }\sqrt[]{5625} \\ r=\text{ 75 miles} \end{gathered}

C) Area of region

The formula for area of a circle is given as:

\begin{gathered} A=\text{ }\pi\times r^2 \\ A=\text{ }\frac{22}{7}\times75^2 \\ A=\frac{22}{7}\times5625 \\ A=\text{ 17678.57 sq miles (2 d.p)} \end{gathered}

7 0
1 year ago
What is the factor for the expression - 3x + 6
Archy [21]

Hello from MrBillDoesMath!

Answer:

3 ( -x + 2) is the factorization; 3 is the common factor

Discussion:

Each term in   -3x + 6 has 3 as a factor so the factorization is

3 ( -x + 2)


Thank you,

MrB

5 0
3 years ago
A student scored a 98 86 93 and 75 in math fot the quarter what is the students math average for the quater
Natali5045456 [20]
The students math average is 88
8 0
3 years ago
Read 2 more answers
Please help me understand the question
goblinko [34]

The major arc DGF and the minor arc FD both make up the circle, so their measures should add to 360°.

(arc DGF) + 153° = 360°

arc DGF = 207°

8 0
3 years ago
Read 2 more answers
Please help!
wariber [46]
Ya is = 10x-28 see the picture for explanation
5 0
2 years ago
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