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Len [333]
3 years ago
6

In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the fol

lowing is the length of MN ?
(1) 7
(2) 42
(3) 4 square root 3
(4) 2 square root 21
Mathematics
1 answer:
deff fn [24]3 years ago
3 0

Answer:

42

Step-by-step explanation:

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Find the side of a square whose diagonal measures 15 square root of 2
solmaris [256]

Answer:  15 units .

__________________________________________________

In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" forming is the hypotenuse of the right triangle.

In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are:  "a, a, a√2" ; in which "a√2" is the hypotenuse.

We are given:  "15√2" is the hypotenuse" ; and we are given that this is a right triangle of a square with a diagonal length (i.e. "hypotenuse" of "15√2" ; so the measure of the side of the "square" (and other two sides of the triangle formed) is:  15 units.   (i.e.,  15, 15, 15√2 ).

8 0
3 years ago
Read 2 more answers
Given that p(x)=3x^2-2x+1. Find p(3) and p(x+1)<br> p(3)= p(x+1)=<br><br> please show work
Rudik [331]

Answer:

3[2+1]

Step-by-step explanation:

p=3

4 0
3 years ago
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in
leonid [27]

Answer:

$1.80

Step-by-step explanation:

Use formula

I=P\cdot i\cdot t,

where I is interest, P is total principal, i is rate of interest per year (as decimal) and t is total time in years.

In your case,

I=$36.45, t=312, i=0.065, then

36.45=P\cdot 0.065\cdot 312,\\ \\P\approx \$1.80

6 0
3 years ago
Read 2 more answers
Solve 0= 2t^3-21t^2+ 40t
sukhopar [10]
0=2t^3-21^2+40t
switch sides
2t^3-21t^2+40t=0
solve factoring 
t(t-8)(2t-5)=0
using the zero factor principle
t=0&#10;
solve
t-8=0:t=8
solve
2t-5=0:t= \frac{5}{2}
t=0,t=8,t= \frac{5}{2}
Hope this helps

4 0
3 years ago
Can somebody please help me
erik [133]

Answer:

d=3 and e=-1

Step-by-step explanation:

d+e=2

d=2-e-----(1)

d-e=4-----(2)

substituting (1) in (2)

2-e-e=4

-2e=2

e=-1-----(3)

substituting (3) in (1)

d=2-(-1)

d=3

6 0
3 years ago
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