Answer:
-5
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
-35 = -(7×5) = 7×(-5)
Then comparing to the given equation, you realize ...
t = -5
_____
Or, you can recognize 7 as the coefficient of t and divide both sides of the equation by that:
-35/7 = (7t)/7
-5 = t
The probability of drawing both without replacing either is :
14/41 * 12/40 = 7/41 * 3/5 = 21/205
The probability of drawing both WITH replacement is:
14/41 * 12/41 = 168/ 1681
there you have it :D
Answer:
a) 2.5×2.5×2.5-1.4×1.4×1.4=12.881
b) (2.5)2+2.5×1.4+(1.4)2=31.5
Step-by-step explanation:
yuh multiple 2.5 three times and subtract 1.4 multiple three times. 2.5×2.5×2.5-1.4×1.4×1.4
15.625-2.744=12.881.
b) when opening bracket Yuh multiple the number in the bracket by the number outside the bracket. when bracket is open Yuh can now add, multiple to obtain your answer please
(2.5)2+2.5×1.4+(1.4)2
5+2.5×1.4+2.8
7.5×4.2=31.5
Answer:
A. 13.31' to the nearest hundredth.
B. 86.52' to the nearest hundredth.
Step-by-step explanation:
Part A>
The apotherm of a regular polygon is the distance of the line segment from the centre of the polygon to the midpoint of a side.
2 radii of this decagon joined to the endpoints of a side form an isosceles triangle with equal sides = 14 cm.
The apotherm is the altitude of this triangle. The vertex of the triangle has an angle of 360 / 10 = 36 degrees and the apotherm bisects this angle.
So using trigonometry on the right triangle formed:
cos 18 = x / 14 where x is the apotherm.
x = 14 cos 18
= 13.31' (answer).
Part B.
Using trigonometry on the right triangle again:
sin 18 = x/2 / 14 (where x is the length of a side of the hexagon)
x/2 = 14 sin 18
x = 2 * 14 sin 18
= 8.652'.
As a decagon has 10 sides the perimeter = 8.652 * 10
= 86.52' to the nearest hundredth.
Answer:
145°
Step-by-step explanation:
There are a couple of ways you can get there:
1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...
... ∠BAC = 90° -∠ABC = 90° -55° = 35°
Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...
... ∠BAD = 180° -35° = 145°
2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.
... ∠BAD = 55° +90° = 145°
