answer:
in order to construct 75°, you need to use a protractor and a compass
step-by-step explanation:
here is a step-by-step explanation from an online source
- step 1: draw a line segment with endpoint O and A
- step 2: draw an arc with O as centre cutting the line segment OA at point B with a compass
- step 3: keeping the radius same, draw an arc with B as centre cutting the arc at C
- step 4: keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at D
- step 5: with any radius, draw two arcs with C and D as a center. intersect these two arcs at E
- step 6: join OE. angle EOA is the angle with measurement of 90 degrees
- step 7: now the line OE intersect the arc at the point F
- step 8: taking F and C as a center, make an arc with a radius of more than half of the measurement FC. the arc intersects at point H
- step 9: join the point H and O. angle HOA is the angle obtained of measurement 75 degrees
- step 10: angle HOA is the desired angle
Answer:
The initial temperature of the object was 37.6 degrees Celsius
The initial temperature of the object was 37.6 (without units)
Step-by-step explanation:
we have

where
f(t) represent the temperature of the object in degree Celsius
t is the time in minutes
<em>Find the value of the constant C</em>
we have the ordered pair (4,35)
substitute in the equation and solve for C




Find the initial value of the object
we know that
The initial temperature is the value of f(t) when the value of t is equal to zero
so
For t=0



therefore
The initial temperature of the object was 37.6 degrees Celsius
The initial temperature of the object was 37.6 (without units)
Answer: it took T.J. 48 months to pay the car loan.
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P = principal or amount loaned
R = interest rate
T = time in years.
I = interest
From the information given,
P = $5800
R = 6.5%
Over the course of the loan, he paid a total of $1508 in interest. Therefore,
I = $1508 Therefore,
1508 = (5800×6.5×T)/100
1508 = 377T
T = 1508/377 = 4 years
Assuming there are 12 months in a year, the number of months in 4 years would be 4×12 = 48 months
Given that Pythagorean Theorum is
A^2 + B^2 = C^2, you need to do the opposite.
To find for A^2, you need to:
Subtract B^2 from C^2. This creates the equation of:
C^2 - B^2 = A^2. This works because A^2 + B^2 is C^2, so the opposite must work.
Now if you're looking for A and not A^2, you need to subtract B^2 from C^2 and then square root the difference.
I hope this helps!