9514 1404 393
Explanation:
1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given
2. ∆ABC is isosceles . . . . definition of isosceles triangle
3. BA ≅ BC . . . . definition of isosceles triangle
4. ∆BDA ≅ ∆BEC . . . . HL theorem
5. AC ≅ CE . . . . CPCTC
Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
Hey there,
You could solve it in one of three ways: graphing, substitution method, and elimination method.
:)
Option A
The centripetal acceleration is 1.32 
<em><u>Solution:</u></em>
From given question,
A cyclist rides in a circle with speed 5 m/s
The circle has a radius of 19 m
To find: Centripetal acceleration
<em><u>The formula for Centripetal acceleration is given as:</u></em>
Where,
= centripetal acceleration
r is the radius and v is the velocity
From given statement,
radius = r = 19 m
velocity = v = 5 m/s
<em><u>Substituting the values in above formula, we get</u></em>
Thus centripetal acceleration is 1.32
47+90=137
(90 because it is a right triangle)
180-137=43
Answer=43°
