Answer:
A
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = = =
Multiply both sides by 7, thus
AC = 7sin40° → A
Answer:
x^4 -53x^2 +108x +160
Step-by-step explanation:
If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...
p(x) = (x +8)(x +1)(x -4)(x -5)
Multiplying these out gives the polynomial in standard form.
= (x^2 +9x +8)(x^2 -9x +20)
We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.
= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)
= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160
p(x) = x^4 -53x^2 +108x +160
_____
The graph shows this polynomial has the required zeros.
Answer:
Step-by-step explanation:
Calculation
Divide your interest rate by the number of payments you'll make that year. ...
Multiply that number by your remaining loan balance to find out how much you'll pay in interest that month. ...
Subtract that interest from your fixed monthly payment to see how much in principal you will pay in the first month.
Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13
Step-by-step explanation:
Answer:
<u>The correct answer is B. 150 cm.</u>
Correct statement, question and diagram:
The diagram shows a door that has a window in it. The front faces of the door and window are similar rectangles that have the dimensions shown. What is <em>h, </em>the height of the window in centimeters?
A. 66 cm
B. 150 cm
C. 186 cm
D. Not here.
Source:
Question that can be found at quizizz
Step-by-step explanation:
Let's recall that if the door and the window in it are similar rectangles, then we have:
60/84 = h/210
84 * h = 210 * 60
84h = 12,600
h = 12,600/
h = 150 cm
<u>The correct answer is B. 150 cm.</u>