The length of the ramp calculated using Pythagoras is approximately 350 cm
From the diagram attached :
- Height of ramp = opposite = 225 cm
- Angle of inclination, θ = 40°
Using Pythagoras ; the length of the ramp can calculated as follows :
Sin θ = opposite / hypotenus
Sin 40° = 225 / hypotenus
Cross multiply
Hypotenus × 0.6427876 = 225
Divide both sides by 0.6427876 to isolate the hypotenus
Hypotenus = 225 / 0.6427876
Hypotenus = 350.03786 cm
Therefore, the length of the ramp which is the hypotenus is approximately 350 cm
Learn more : brainly.com/question/10040532
Answer: second option.
Step-by-step explanation:
You need to descompose the radicand 8 and the radicand 50 into their prime factors:
Then you can rewrite the expression:
Since:
You can simplify the expression:
As the indices and the radicands are the same, you can make the addition:
Answer:
22, 17, and 44.
Step-by-step explanation:
So what you do is you will have three equations that we will put together.
1. x. The first number is x because they don't give us anything about it.
2. x-5. It says that the second number is 5 less than the first number.
3. 2x. It says that the third number is 2 times the first number.
<em>x+x-5+2x=83. </em>
<em>4x-5=83.</em>
<em>4x=88.</em>
<em>x=22. </em>
That is the first number. To find the second and third, you will plug 22 into the x.
2. 22-5=17.
3. 2(22)=44.
22, 17, 44 are your answers.
Answer:
If two triangles Δ RST and Δ XYZ are similar, then corresponding angles are equal and their corresponding sides are proportional.
So here ∠R=∠X, ∠S=∠T and ∠T=∠Z
(-8/3,0) ; (3/5,0) ; (-1,0)
