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Natasha2012 [34]
3 years ago
8

PLEASE PLEASE PLEASE HELP ME Please look at all of the questions! Thank you in advance!!!

Mathematics
1 answer:
neonofarm [45]3 years ago
4 0
Angle ABC= 180-80 = 100
The angle relationship is vertical angles
I don’t know the last one sorry
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1. SPOTLIGHTS Ship A has coordinates (–1, –2) and Ship B has coordinates (–4, 1). Both ships have their spotlights fixated on th
Alexeev081 [22]

Answer:

( 5 , 10 )

Step-by-step explanation:

Solution:-

- There are two ships, A and B, currently located by their respective coordinates in the cartesian coordinate system:

          <u>Position of ship A: ( - 1 , -2 )</u>

          <u>Position of ship B: ( -4 , 1 )</u>

- Both ships try to locate a lifeboat. The spotlights used by each ship are modelled as straight line functions of cartesian coordinate originating from their respective ships.

- Spot lights for each ship were able to locate the same lifeboat. The respective spotlights are modelled by the following functions:

         <u>Spotlight Ship A: y = 2x</u>

         <u>Spotlight Ship B: y = x + 5 </u>

- To locate the position of the lifeboat with respect to the origin ( 0 , 0 ) we will use the spotlight model functions and equate them. This is because the spotlights must converge or meet at the position of lifeboat provided the lifeboat is found by both ships.

- Therefore,

       

         Spotlight A = Spotlight B

         y = 2x = x + 5

         2x = x + 5

         x = 5 , y = 10

<u>Answer:</u> <em>The two spotlight meet at the coordinates ( 5 , 10 ). This is also the position of the lifeboat located by both the ships</em><em>. </em>

       

7 0
3 years ago
A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shad
xxTIMURxx [149]

At a particular time, objects and their shadows are proportionate.

Therefore, in figure,

\frac{AB}{FD}= \frac{BC}{DE} --- (1)

where AB is the height of the lighthouse, BC, its shadow and FD is the height of Zara and DE is her shadow.

From the given information,

BC = 36 feet

FD = 4 feet and DE = 3 feet

(1) becomes

\frac{AB}{4}= \frac{36}{3}

\frac{AB}{4}= 12

AB = 48

Hence, the height of the lighthouse is 48 feet.


8 0
3 years ago
Read 2 more answers
Katie earns money by selling lemonade. She keeps track of how much she spends and makes each weekend. The following are her prof
Serggg [28]
The answer is "She Made $13"

Start a $0 then add/subtract her profit/loss.

0-3+4-3+6-2+5-6+12=13
5 0
3 years ago
How do I find the gradient of the line y=x-5
Katen [24]
The gradient is the same as the slope.
The gradient is always before the x variable or is the coefficient of the x variable when an equation is in the slope intercept form.
The gradient in this equation is 1
8 0
3 years ago
The height of Liliana’s picture frame is 18 inches. The frame and blue matting take up 4.5 inches of the height. Liliana wants t
Genrish500 [490]

.Answer: C

Step-by-step explanation:

4.5+p would be the full length of 18 since it is sharing the total length.

8 0
3 years ago
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