Answer:
x ≈ 46.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x =
=
=
, then
x =
(
) ≈ 46.7° ( to the nearest tenth )
Answer:
90 pieces
Step-by-step explanation:
If a 6-ounce bag of fruit contains 45 pieces, then a bag two times larger than that bag would likely also be two times larger than how many pieces were in that bag. 45 x 2 = 90.
This question is incomplete
The girls' swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that at most they will sell 200 items.
Write a system using c for candles and f for flowers.
Answer:
c + f ≤ 200
5c +6f ≥ 500
Step-by-step explanation:
Using
c for candles
f for flowers.
The girls estimate that at most they will sell 200 items.
At most is a statement that means : Less than or equal to with the inequality sign (≤)
Hence:
c + f ≤ 200
They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.
At least is a statement that means : Greater than or equal to with the inequality sign (≥)
Hence:
$5 × c + $6 × f ≥ $500
5c + 6f ≥ 500
Therefore, the system of inequalities is given as:
c + f ≤ 200
5c + 6f ≥ 500
Attached is what you can do on excel.
Add the values as presented on the image. Select the values and then go t the menu "Insert" and look for "Charts" and then "Insert scatter chart". After this, select one of the dots from the graph and then press the right button of the mouse and select "add trendline". Now you have a trend line. Format the trendline selecting the option "Display Equation on chart" (and also if you want "Display R-squared value on chart"). Now you have the equation and you can easily predict the value when X is 15, you just need to substitute on the equation the X by the 15:
y = 4.0933Χ + 21.5 <=>
y = 82.8995<span>
</span>
Factoring:
FOIL (first, outer, inner, last) method
(a+b)(c+d) = 0
ac+ad+bc+bd = 0
Zeros:
(x+a)(x+b) = 0
x+a = 0, x= 0-a
x+b = 0, x= 0-b