The decimal number 0.4 is equivalent to 4/10 in fraction form. This fraction can be reduced to its simplest form by dividing both the numerator and the denominator by their greatest common factor (GCF). The GCF of four and 10 is two. Therefore, 0.4 is equal to 2/5.

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm find the radius of the circle.

Here, O is the center of the circle.
<u>⟼</u><u> </u><u>Given</u><u> </u><u>:</u>
<u>⟼</u><u> </u><u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u> </u> We have to find the radius OP.
Since QP is tangent, OP perpendicular to QP.
(Since, Tangent is Perpendicular to Radius ⠀⠀⠀⠀⠀⠀⠀at the point of contact)
So, ∠OPQ=90°
<u>⟼</u><u> </u><u>By</u><u> </u><u>Applying</u><u> </u><u>Pythagoras</u><u> </u><u>Theorem</u><u> </u><u>:</u>
OP² + RQ² = OQ²
OP² + (24)² = (25)²
OP² = 625 - 576
OP² = 49
OP = √49
<u>OP</u><u> </u><u>=</u><u> </u><u>7</u><u> </u><u>cm</u>
<u>Hence</u><u>,</u><u> </u><u>The</u><u> </u><u>Radius</u><u> </u><u>is</u><u> </u><u>7</u><u> </u><u>cm</u>
⠀⠀
⠀
<h3>-MissAbhi</h3>
Answer:
$7995.85
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where,
A = Amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.








Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.
Answer:
X = 30
Step-by-step explanation:
Because every triangle adds to the total of 180
so 102+48=150 and 180-150=30
Hope this helps
Combination = doesn't matter what order
Permutation = order matters
There are <u>two</u> methods to work out combinations.
Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567
For a total of
35 combinations.
Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)