Answer:
30 each of 23% bars and 18 each of 79% bars
Step-by-step explanation:
If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:
x + y = 48
0.23x + 0.79y = 0.44(48)
Substituting and solving:
0.23x + 0.79(48-x) = 0.44(48)
0.23x + 37.92 - 0.79x = 21.12
16.8 = 0.56x
x = 30
y = 48 - x
y = 18
You need 30 each of 23% bars and 18 each of 79% bars.
Answer:
angle is 45° which is constant
Step-by-step explanation:
We use formula for two vectors <u>a </u>and <u>b</u> to calculate angle θ between them by formula
cos θ = <u>a .</u> <u>b</u> / magnitude of <u>a </u> × magnitude of <u>b</u>
<u>Please see the attached file</u>
1a) False. A square is never a trapezoid. A trapezoid has only one pair of parallel sides while the other set of opposite sides are not parallel. Contrast this with a square which has 2 pairs of parallel opposite sides.
1b) False. A rhombus is only a rectangle when the figure is also a square. A square is essentially a rhombus and a rectangle at the same time. If you had a Venn Diagram, then the circle region "rectangle" and the circle region "rhombus" overlap to form the region for "square". If the statement said "sometimes" instead of "always", then the statement would be true.
1c) False. Any rhombus is a parallelogram. This can be proven by dividing up the rhombus into triangles, and then proving the triangles to be congruent (using SSS), then you use CPCTC to show that the alternate interior angles are congruent. Finally, this would lead to the pairs of opposite sides being parallel through the converse of the alternate interior angle theorem. Changing the "never" to "always" will make the original statement to be true. Keep in mind that not all parallelograms are a rhombus.
Answer:
x^2 - 3x - 18
Step-by-step explanation:
Just follow in terms of FOIL
First, outer, inner, last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
Answer:
The pharmacy should give Marilyn 135 tablets to fill the isoniazid for 45 days
Step-by-step explanation:
Marilyn has to take isoniazid 100 milligrams tablet 3 times a day which means three tablets a day.
The pharmacy has to provide the tablets for 45 days
So,
Total tablets that will be provided by the pharmacy are:
45*3 = 135 tablets ..