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hammer [34]
3 years ago
13

Line GJ is tangent to point A at point G. If AG = 9 and GJ = 12, find AJ.

Mathematics
2 answers:
dolphi86 [110]3 years ago
4 0
As you can see, if you draw a segment from a to j, you'll get the right triangle JAG, with right angle in A.

AJ would be the hypothenuse.

AJ = √AG²+GJ² = √9²+12² = √81+144 = √225 = 15 units.
Artyom0805 [142]3 years ago
3 0
Square root of 9^2+12^2
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AleksandrR [38]
You’re answer is 21


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3 years ago
Read 2 more answers
If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
3 years ago
Marty has read 32% of his 400-page library book. How many pages has Marty read?
vova2212 [387]

Answer:

128 pages

Step-by-step explanation:

0.32*400

=128

In total, Marty had read 128 pages of his book.

6 0
3 years ago
What is the value of the expression when b= -4 and C=1
babymother [125]

Answer:

B would equal -4

Step-by-step explanation:

7 0
3 years ago
Pls help me no one helps me
Ahat [919]

Answer:

20% error

Step-by-step explanation:

easy

9.4/7.8 or do 0.078x=9.4

1.20512820513

round to nearest tenth

1.2

means

20% error

4 0
2 years ago
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