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Lisa [10]
3 years ago
7

ABC form a triangle where BAC equals 90° a B equals 10.8 mm and C equals 1.6 mm find the length of BC give your answer rounded t

o one DP
Please really need help it’s for a test
Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

BC = 10.9 mm

Step-by-step explanation:

The computation of the BC is given below:

Here we applied the pythagorus theorem

AB = 10.8 mm

AC = 1.6mm

BC = ?

Now as we know that

AB^2 + AC^2 = BC^2

10.8mm^2 + 1.6mm^2 = BC^2

116.64mm^2 + 2.56mm^2 = BC^2

BC = 10.9 mm

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Solve the system of equations below by graphing. x^2-2x+y-3=0 x2+y=0 What is the solution rounded to the nearest hundredth? (–2.
Olin [163]

Answer:

(-1.5,-2.25)

Step-by-step explanation:

The first function is x^2-2x+y-3=0.


We make y the subject of this function to obtain,

y=3+2x-x^2.

This is graph will open downwards because a=-1\:.


At  y-intercept of this graph, x=0.


\Rightarrow y=3+2(0)-(0)^2


\Rightarrow y=3


The y-intercept is (0,3).


At x-intercept y=0.


0=3+2x-x^2


0=(x+1)(x-3)


\Rightarrow x=-1,x=3.


The x-intercepts are,

(-1,0),(3,0)

Also the vertex form of the function is,

y=-(x-1)^2+4.


Therefore the vertex of the parabola is (1,4).


We plot all the points obtained and draw a smooth curve to obtain the curve as show in the diagram.


The second function is

x^2+y=0


\Rightarrow y=-x^2


This is the graph of the basic quadratic function y=x^2 that has been turned upside down.

This graph also has the vertex,y-intercept and x-intercept all at (0,0).


We now graph this too on the same graph sheet as the first one to obtain the blue graph as shown in the diagram.


These two graphs intersect at the point, (-1.5,-2.25).


Therefore the correct answer is B






3 0
3 years ago
When you add a positive integer and a negative integer, how can you tell whether the sum will be positive or negative?
Marysya12 [62]

Answer:

it's going to be negative

7 0
3 years ago
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Y is directly proportional to x.
s344n2d4d5 [400]

Answer:

11

Step-by-step explanation:

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8 0
3 years ago
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From a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour
Bogdan [553]

Answer:

Both boats will be 54 miles apart after 3 hours.

Step-by-step explanation:

Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :

54 / (11 + 7) = X

54/18 = X

3 = X

Therefore, both boats will be 54 miles apart after 3 hours.

4 0
3 years ago
Li mixes 3 liters of red paint with 8 liters of white paint to get pink. How many units of red paint should she mix with 24 lite
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