9514 1404 393
Answer:
k = 7
m = 8
Step-by-step explanation:
The diagonals bisect each other, so each half is equal to the opposite half.
k +4 = 11 . . . . down-sloping diagonal
k = 7
__
m = 8 . . . . up-sloping diagonal
Answer:
x = -7
Step-by-step explanation:
5-x=12
To solve for x, you must first make the equation equal to x (to make x alone on one side).
5 - x = 12
-5 -5
-x = 7
-x(-1)=7(-1)
x = -7
Answer:
Step-by-step explanation:
- Rectangle has properties:
- Diagonals are congruent
- Opposite sides are congruent
- All angles are right
<h3>Given</h3>
- m∠ABD = 30°
- AC = 16 in
- BC = ?
<h3>Solution</h3>
<u>As per properties mentioned above we have:</u>
ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°
Side opposite to 30 is half of the length of the hypotenuse
<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>
- AD = 1/2*BD
- AD = 1/2(16)
- AD = 8 in
and
Assume that the dimensions of the room in the plan are a (width ) by b (length),
such that a*b=30.
Since the scale is 1:100, a represents 100a, and b represents 100b.
So the actual dimensions are 100a by 100b.
The area is 100a*100b=a*b*10,000=30*10,000=300,000 (square units)
Answer: 300,000 (square units)
Answer:
<h2>19,600 J</h2>
Step-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
We have
PE = 500 × 9.8 × 4
We have the final answer as
<h3>19,600 J</h3>
Hope this helps you
