Answer:The length of each piece of fabric is 1/8 yards.
Step-by-step explanation:
Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. This means that he cut 1/4 yards of fabric into two equal pieces.
An expression for the length, in yards, of each piece of fabric will be
Let the length of the fabric be x in yards. Also, let the length of each piece of fabric be y in yards. It becomes
y = x/2
Since x = 1/4
y =( 1/4)/ 2 = 1/4 × 1/2
y = 1/8
The length of each piece of fabric is 1/8 yards.
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Answer:
The solution is the interval (-∞,5]
Step-by-step explanation:
we have
The solution is the interval -----> (-∞,5]
All real numbers less than or equal to 5
In a number line the solution is the shaded area at left of x=5 (close circle)
see the attached figure
W=-15 I hope this helped.
R(–3, 4)
Step-by-step explanation:
Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.
By section formula,
Here, 
Substituting this in the section formula
To simplifying the expression, we get
⇒ R(x,y) = R(–3,4)
Hence, the coordinates of point R is (–3, 4).
