The way I would approach such a question is to put it into equations.
My first equation would be 16x+19y=478 which represents $16 on ski's per person and $19 on snowboards must add up to $478
My second would be x+y=28 because the number of skis and snowboards rented must add up to 28 so each person has one item.
Next you solve them simultaniously. Gonna use elimination
16x+19y=478 (1)
<span>x+y=28 (2) </span>
16x+16y=448 (3 = equation 2 * 16)
(1)-(3) => 3y=30 y = 10.
So now we know that 10 people rented snow boards. Just sub that into eq (2) and get x = 18. So 10 people got snow boards and 18 ski's.
To check, 10x19 = 190
16x18= 228
190+228=478 which works out perfectly!
False
This will make the 2 triangles similar but not congruent
Answer:
D
Step-by-step explanation:
Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
Step-by-step explanation:
Total fabric needed by Sam = 2.75
According to directions on a sewing pattern they say to buy an extra 12.5%
So, extra fabric would be: 12.5% of 2.75
Solving
Now adding 0.343 into 2.75 to get extra fabric quantity:
2.75+0.343
=3.09
Therefore Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
7 in, because any value than 7 either makes more than 16 when doubled, or makes it so that the width has to be 0, which would make it a line and not a rectangle.
An angle of elevation of 58 degrees with the ground means
that the angle started at the x-axis and terminates on the first quadrant
region through a counter clockwise direction. Imagining a triangle, the string
of the kite becomes the hypotenuse, the angle 58 degrees is the angle between
the hypotenuse and the ground, and the height of the kite is the side opposite
to the angle.
Therefore, we can calculate for the height of the kite
using the sin function:
sin θ = opposite side / hypotenuse
sin 58 = opposite side / 50 m
opposite side = 50 m * sin 58
opposite side = 42.4 m
<span>Therefore the kite is about 42.4 m above the ground.</span>
