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djverab [1.8K]
3 years ago
12

You've dropped your car keys at night off the end of a dock into water 1.6 m deep. a flashlight held directly above the dock edg

e and 0.50 m above the water illuminates the keys when it's pointed at 40° to the vertical. what is the horizontal distance x from the edge of the dock to the keys
Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
The total height from flash light to the keys is 1.6 + 0.5 = 2.1 meters

the vertical angle = 40 degrees

the horizontal distance =  2.1 x tan(40)

distance = 1.76 meters  ( round answer as needed )
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What are the intercepts of the line 2x + 4y = 12?
Darina [25.2K]
<span>if you're finding the x intercept, y is ALWAYS 0, so in this, you can just get rid of the -4y because you know that it's 0, so you're left with 2x=12 divide by 2 on both sides so you find x intercept is (6,0) on the graph 
the y works the same way, if you're looking for the y, you know that the x is zero, so you're left with -4y=12, divide by -4y on both sides and you end up with the y intercept being (0,-3) 

x int.= (6,0) 
y int.= (0,-3) 

by the way, when it's written like that, it's called standard form, so to find the intercepts on 2x=12+4y, you'd have to convert it into standard form (Ax=By=C) so you subtract 4y on both sides to make it 2x-4y=12, and then once you have it like that you can do the math to find the y and x intercepts.
</span>

6 0
3 years ago
4. Is the point (3,-4) a solution to the given system? Justify your answer.
Zigmanuir [339]

Answer: No, it is not a solution

==========================================================

Explanation:

The point (3,-4) means that x = 3 and y = -4 pair up together

Let's plug these x,y values into each equation

Starting with the first equation, we get,

y = 4x-16

-4 = 4(3)-16 ... x replaced with 3; y replaced with -4

-4 = 12-16

-4 = -4 .... this is a true statement

Repeat for the second equation

y = 2x-6

-4 = 2(3)-6

-4 = 6-6

-4 = 0 ... this is false

Since we get a false statement, this means (3,-4) is not on the line y = 2x-6, which means that overall (3,-4) is not a solution to the system of equations. The point (3,-4) must make both equations true for it to be a solution.

5 0
3 years ago
A cube has a height of 7 cm. What is the volume of the cube?
WITCHER [35]

Answer:

343

Step-by-step explanation:

if you have a cube, then the volume is one of the sides cubed, or to the third power. 7^3 can be represented as 7*7*7, or 7x7x7, which is 343.

Brainliest

4 0
2 years ago
A plumber chargers $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost,
daser333 [38]

25$ is the flat fee.  50$ is the amount charged per hour.  Therefore the equation is C=25+50h where c is the total cost and h is the amount of hours.  

C=25+50h

To find the amount of money for 8 hours simply plug in 8 for h and you get 400.  Don't forget to add the flat fee of 25.  The total cost for 8 hours of service is 425.

To find the amount of money for 10 hours of work, plug in 10 for h and you get 500.  Add 25 to 500 and you get 525 for a total of 10 hours of work.

Hope this helped...

3 0
3 years ago
Can’t figure this out could you help me ?
Rasek [7]

Answer: - 1 1/4

Step-by-step explanation:

-6/4 as a mixed number is - 1 1/2, also known as -1 2/4. The nearest numbers to this number are -1 1/4 and -1 3/4. Since the question asks for the number one tick mark to the right, it is - 1 1/4. Since the negative number goes like -3, -2 -1, 0.

3 0
3 years ago
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