Answer:
Step-by-step explanation:
Solve each equation and compare the solutions
1.
- 2(a - 1.1) = 5.8
- a - 1.1 = 5.8/2
- a - 1.1 = 2.9
- a = 2.9 + 1.1
- a = 4
2.
- (5/2)b - 2 3/4 = 7 1/4
- 2.5b = 7 1/4 + 2 3/4
- 2.5b = 10
- b = 10/2.5
- b = 4
Both a and b have same value
So, what is the total lenght of the pieces that wer cut off?
we multiply the lenght by the number:
4
*5=20+
=21
and we subtract this from the original pipe, that is
30
-21
we need to bring the two fractions to the same denominator (by multiplying the fraction art in the first by 3 and 4 the second):
30
-21
=9
so the correct answer is D!
The minimum value for 2x is 0
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>
<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>
<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>
<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>
<span>sin 2x = 22 (sin 34°)/30 </span>
<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>
<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>
<span>0 < x < 12.1°</span>
Answer:
$3385 per week
Step-by-step explanation:
so, he gets $370 plus 4.5% of what he is selling.
$67000 = 100% of selling
1% = 100%/100 = 67000/100 = $670
4.5% = 1% × 4.5 = 670 × 4.5 = $3015
so, he gets $370 + $3015 = $3385 per week
You solve for the domain by setting the radicand less than or equal to 0 and solving for x. Dividing by a -x, we switch the sign so we have that the domain is less than or equal to 0, or all negative numbers. We know that it breaks every law in math to have a negative radicand with an even index, so if the domain is all negative values of x, taking a negative of a negative gives us a positive. The negative sign OUTSIDE the radical means you are flipping the graph upside down. So instead of having a range of y is greater than or equal to 0 as does the parent graph, you have flipped it upside down so it heads more negative in regards to the range. Therefore, the domain and the range both have the same sign, thee last choice from above.
