Answer:
804
Step-by-step explanation:
dozen means 12
67 times 12 is 804
Given:
m∠APD = (7x + 1)°
m∠DPC = 90°
m∠CPB = (9x - 7)°
To find:
The measure of arc ACD.
Solution:
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠APD + m∠DPC + m∠CPB = 180°
7x° + 1° + 90° + 9x° - 7° = 180°
16x° + 84° = 180°
Subtract 84° from both sides.
16x° + 84° - 84° = 180° - 84°
16x° = 96°
Divide by 16° on both sides.
x = 6
m∠APB = 180°
m∠BPD = (9x - 7)° + 90°
= (9(6) - 7)° + 90°
= 47° + 90°
m∠BPD = 137°
m∠APD = m∠APB + m∠BPD
= 180° + 137°
= 317°
<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>
m(ar ACD) = m∠APD
m(ar ACD) = 317°
The arc measure of ACD is 317°.
Answer:
I have no idea
Step-by-step explanation:
5xt789v
These are the important trigonometric relations to base on:
cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)
Following these properties, we could simplify the equation and input into the calculator to determine the exact value.
<span>tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1
</span><span>sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1</span>
All we need to do is to find out how many 25 cm cake tins will fit along the 70 cm edge (70 cm because 700 mm = 70 cm).
70 : 25 = 2,8
It means that 2 and 0,8 tins will fit, which is generally 2 tins because the third one wouldn't fit.
Now we have to do the same with the 60 cm edge:
60 : 25 = 2,4
So again we'll have 2 tins along the other edge, but with less spare space.
Now we just have to multiply both edges to get the amount of the tins that will fit on the tray:
2 * 2 = 4
Answer: 4 cake tins will fit on oven tray measuring 700mm x 600mm.
