Answer: x 50 y 5
Step-by-step explanation: In the graph
Let "radical 2" be represented by "r."
Then you are to simplify 4r + 7r - 3r. This comes out to 11r - 3r = 8r.
The answer is 8 radical 2.
Answer:
Arc length MK = 15.45 units (nearest hundredth)
Arc measure = 58.24°
Step-by-step explanation:
Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)
ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:
![\sf \cos(\theta)=\dfrac{A}{H}](https://tex.z-dn.net/?f=%5Csf%20%5Ccos%28%5Ctheta%29%3D%5Cdfrac%7BA%7D%7BH%7D)
where:
is the angle- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
= ∠KLM- A = LN = 8
- H = KL = 15.2
![\implies \sf \cos(KLM)=\dfrac{8}{15.2}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Ccos%28KLM%29%3D%5Cdfrac%7B8%7D%7B15.2%7D)
![\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cangle%20KLM%3D%5Ccos%5E%7B-1%7D%5Cleft%28%5Cdfrac%7B8%7D%7B15.2%7D%5Cright%29)
![\implies \sf \angle KLM=58.24313614^{\circ}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csf%20%5Cangle%20KLM%3D58.24313614%5E%7B%5Ccirc%7D)
Therefore, the measure of arc MK = 58.24° (nearest hundredth)
![\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}](https://tex.z-dn.net/?f=%5Ctextsf%7BArc%20length%7D%3D2%20%5Cpi%20r%5Cleft%28%5Cdfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%7D%5Cright%29%20%5Cquad%20%5Ctextsf%7B%28where%20r%20is%20the%20radius%20and%7D%5C%3A%5Ctheta%5C%3A%7B%5Ctextsf%7Bis%20the%20angle%29%7D)
Given:
- r = 15.2
- ∠KLM = 58.24313614°
![\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BArc%20length%20MK%7D%3D2%20%5Cpi%20%2815.2%29%5Cleft%28%5Cdfrac%7B%5Csf%20%5Cangle%20KLM%7D%7B360%5E%7B%5Ccirc%7D%7D%5Cright%29)
![\implies \textsf{Arc length MK}=\sf 15.45132428\:units](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%7BArc%20length%20MK%7D%3D%5Csf%2015.45132428%5C%3Aunits)
Answer:
24 because 8×3. .................
Answer:
7.96 × 10⁸ kg
Step-by-step explanation:
Step 1: Given data
- Mass of the Eiffel Tower (mE): 9.16 × 10⁶ kg
- Mass of the Golden Gate Bridge (mG): 8.05 × 10⁸ kg
Step 2: Determine how many more kilograms is the mass of the Golden Gate Bridge than the mass of the Eiffel Tower
To determine this ratio, we need to do the following subtraction.
mG - mE = 8.05 × 10⁸ kg - 9.16 × 10⁶ kg = 7.96 × 10⁸ kg
The Golden Gate Bridge has approximately 7.96 × 10⁸ kg more than the Eiffel Tower.