Answer:
Condition A= 320 inches
Condition B= 190 Degrees F
Condition C= 2240 inches
Condition D= 350 inches
Condition E= 110 Degrees F 8 inches
Condition F= 180 Degrees F
Step-by-step explanation:
4 inches
8 inches
70 inches
60 D
40 D
90 D
4 inches
8 inches
70 D
5 inches
7 inches
12 inches
30 D
80 D
8 inches
40 D
80 D
60 D
Answer:
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
c² = a² + b²
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
ΔABC is a right angle triangle too. Therefore,
AB² + BC² = AC²
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
Step-by-step explanation:
Answer: 240 men
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
There were 240 men at the recital.
For this, let's have:
n represent each number, the number after it is its place in sequence
/ means divide
n1 /2 = n2, etc.
Answer:
p=2
Step-by-step explanation:
4.05p+14.40=4.50(p+3) < equation
4.05p+14.40=4.50p+13.50 < multiply
14.40=.45p+13.50 < subtract
.9=.45p < subtract
2=p < divide
