The area of the space under the slide is 2.10 square meters
<h3>The vertical distance</h3>
The diagram in the question is added as an attachment
The vertical distance is represented by h.
So, we have:
sin(70) = h/2
Solve for h
h = 2 * sin(70)
Evaluate
h = 1.88 m
Hence, the vertical distance is 1.88 m
<h3>The length of the slide</h3>
This is calculated using
sin(40) = h/Slide
This gives
sin(40) = 1.88/Slide
Solve for Slide
Slide = 1.88/sin(40)
Evaluate
Slide = 2.92
Hence, the length of the slide is 2.92 m
<h3>The
area of the
space under the slide</h3>
This is calculated using:
A = 0.5 * h * slide * sin(∅)
Where
∅ = 90 - 40 = 50
So, we have:
A = 0.5 * 1.88 * 2.92 * sin(50)
Evaluate
A = 2.10
Hence, the area of the space under the slide is 2.10 square meters
Read more about triangles at:
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Answer:
ΔABC ≅ ΔEFD by HL
Step-by-step explanation:
The two triangles given, ∆ABC and ∆EFD, are right triangles.
BC in, ∆ABC, is the hypotenuse and has a length of 5 units, which corresponds to hypotenuse, DF, of ∆EFD. DF also has a length of 5 units.
Therefore, BC ≅ DF.
AC in ∆ABC, corresponds to DE in ∆EFD. Both have the same length.
Therefore, AC ≅ DE.
Since we the hypotenuse of both ∆s and 1 of their corresponding legs are equal, we can conclude that both triangles are congruent based on the Hypotenuse-leg congruency statement, which says that if two right triangles have the same hypotenuse length and a corresponding leg that is equal, both triangles are said to be congruent.
Therefore, ΔABC ≅ ΔEFD by HL
The standard form for an equation is y=mx+b. You find the slope by using the formula of rise over run. This means that for problem 6 you first look to see if its positive or negative slope. The slope is positive if the line is going uphill and if its going downhill its negative. The slope would be negative for number 6 because it is going downhill. Then for the actualy slope you would start with rise. So you look at the point (0,1) and go up 3 until you hit the line of the other point and run over 2. So your slope would be -3/2.
Answer:
A and F
Step-by-step explanation:
A and F both represent instances of division of 14/5
B represent multiplication
C represent the reciprocal of the problem, 5/14
D represent addition
48/5
9x5+3 divide by 5
45+3 divide by 5
48/5
