Answer:
a) 6.67% b) 500% c) 40% d) 7.5%
Step-by-step explanation:
a. ? % of 75 = 5
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 75 = 5</em>
<em>y% = 5/75</em>
<em>y% = 1/15 x 100</em>
y = 6.67 %
b) ?% of 28 = 140
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 28 = 140</em>
<em>y% = 140/28</em>
<em>y% = 5</em>
<em>y = 5 x 100</em>
y = 500%
c) ?% of 100 = 40
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 100 = 40</em>
<em>y% = 40/100</em>
<em>y% = 2/5</em>
<em>y = 2/5 x 100</em>
y = 40%
d) ?% of 200 = 15
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 200 = 15</em>
<em>y% = 15/200</em>
<em>y% = 3/40</em>
<em>y = 3/40 x 100</em>
y = 7.5 %
!!
Answer:
n = √3
m = √3
Step-by-step explanation:
The triangle is an isosceles right triangle with 2 equal base angles of 45° each.
Thus:
Reference angle = 45°
Hypotenuse = √6
Opposite = m
Adjacent = n
✔️To find m, apply the trigonometric function SOH, we have:
Sin 45 = opp/hyp
Sin 45 = m/√6
√6 × 1/√2 = m (sin 45 = 1/√2)
√6/√2 = m
√(6/2) = m
√3 = m
m = √3
✔️To find n, apply the trigonometric function, CAH:
Cos 45 = adj/hyp
Cos 45 = n/√6
√6 × √2/2 = n (cos 45 = √2/2)
√12/2 = n
√(4*3)/2 = n
(2√3)/2 = n
√3 = n
n = √3
The most convenient method I would choose is slope-intercept form, which is y=mx+b. So, make this equation equal in terms of y.
x-y=5
subtract x from both sides
-y = 5 - x
multiply both sides by -1 so y isn't negative
y = 5 + x
5 +x is the same thing as x+5, so
y = x+5
Now, you can easily sub in any number for x and you can easily get y. Here are some points you can plot:
(0, 5), (1, 6), (2, 7), (3, 8) and the list goes on. I hope this helped!
AnswerAnswerAnswerAnswer: C = πd = 65π = 204.2 cm
Step-by-step explanation: C = pi*d
where d is the diameter.
First we get the circumference, then we multiply it by the number of revolutions, which is 20:
C = 3.14 * 65
C = 204.1 cm (this is only equal to 1 revolution)
Therefore, total distance travelled in after 20 revolutions is
204.1 * 20 = 4082 cm
Answer:
The area is 63a
The perimeter is 39b
Step-by-step explanation:
