Answer:
$128
Step-by-step explanation:
1. We need to find how much 1 yard of material cost.
If needed, use a calculator*
120/75=1.6
2. Now we need to know how much 15 yards of material cost.
1.6 times 15=24
3. The buyer ordered an additional 90 yards. If we know how much 75 yards cost, and 15 yards, all you have to do is...
120+24=144
90 yards=$144
4. The additional cost is $144
(Note: the total cost would be $264 (120+144=264))
Answer:
x = 45
Step-by-step explanation:
Given
= 9
Multiply both sides by 5
x = 5 × 9 = 45
Answer:
Step-by-step explanation:
For a triangle the area is

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.
Step-by-step explanation:
The snowplow's speed is 40 mph minus the loss from the snow, which is 1.2 mph times the depth of snow in inches.
y = 40 − 1.2x
When y = 0:
0 = 40 − 1.2x
1.2x = 40
x = 33 ⅓
The snowplow stops moving when the snow is 33 ⅓ inches deep or more.