Step-by-step explanation:
we can find the value of c by Pythagoras theorem
according to Pythagoras theorem
h² = a² + b²
where
h = hypotenuse (i.e. longest side of a right angled triangle)
a = side
b = base
so, we have to find h or hypotenuse here
h² = (24)² + (18)²
h = 576 + 324 = 900
h² = √900 = 30
c = 30
therefore, value of c is 30.
Hope this answer helps you dear!
Answer: t1 = -34; t2 = -64; t3 = -94
d is the distance between numbers (d > 0)
we have:
t5 = t1 + 4d = -154
t9 = t1 + 8d = -274
we have the equations:
t1 + 4d = -154
t1 + 8d = -274
<=> t1 = -34
d = -30
with t1 = -34 and = -30 => t2 = -34 - 30 = -64
t3 = -64 - 30 = -94
Step-by-step explanation:
Answer:
Option C, 262 cm^3
Step-by-step explanation:
<u>Step 1: Substitute 5 for radius and 10 for height</u>
V = 1/3 * pi * r^2 * h
V = 1/3 * pi * (5)^2 * (10)
V = 1/3 * pi * 25 * 10
V = 250pi/3
V = 261.79
Answer: Option C, 262 cm^3
Answer:
a = (p - 3b)/10
Step-by-step explanation:
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).
p = 10a + 3b
First, subtract 3b from both sides.
p (-3b) = 10a + 3b (-3b)
p - 3b = 10a
Next, isolate the a. Divide 10 from both sides.
(p - 3b)/10 = (10a)/10
(p - 3b)/10 = a
a = (p - 3b)/10 is your answer.
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Step-by-step explanation:
multiple possibilities.
e.g.
we could use Pythagoras to get QR, and then use the law of sine to get angle P.
or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.
I propose the second option :
the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with a, b, c being the sides always opposite of their associated angles.
33.8/sin(R) = 57.6/sin(90) = 57.6
sin(R) = 33.8/57.6 = 0.586805555...
R = 35.93064691...°
180 = 90 + 35.93064691... + P
P = 54.06935309...°