Answer:
The answer is 23.86 but ya gotta round up to 23.4 so its A
Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit
Step-by-step explanation:
Step 1
Using the point slope formulae for Linear functions , we have that
y - y1 = m(x - x1)
where x and y are two points representing the temperature and chirps /min respectively
And
m= slope
Step 2 : Finding the slope , m
where x1=60
y1=92
x2= 75
y2=152
m= (y2-y1)/ (x2-x1)
= (152- 92)/(75-60)
=60/15 =4
Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and the temperature
y - y1 = m(x - x1)
y - 92= 4(x - 60)
y - 92 = 4x -240
y = 4x - 240 + 92
y = 4x - 148
Step 3
To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)
y = 4(80) - 160
y = 320 - 148
y = 172 chirps/min at 80 degrees Fahrenheit
Answer:
Step-by-step explanation:
jobs oppurtunitiesjefhf
Question 7: Option 1: x = 33.5°
Question 8: Option 3: x = 14.0°
Step-by-step explanation:
<u>Question 7:</u>
In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle
So,
Perpendicular = P = 32
Hypotenuse = H = 58
So,
![sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48](https://tex.z-dn.net/?f=sin%5C%20x%20%3D%20%5Cfrac%7BP%7D%7BH%7D%5C%5Csin%5C%20x%20%3D%20%5Cfrac%7B32%7D%7B58%7D%5C%5Csin%5C%20x%20%3D%200.5517%5C%5Cx%20%3D%20sin%5E%7B-1%7D%20%28%200.5517%29%5C%5Cx%20%3D33.48)
Rounding off to nearest tenth
x = 33.5°
<u>Question 8:</u>
In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x
So,
Perpendicular = P = 5
Base = B = 20
So,
![tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036](https://tex.z-dn.net/?f=tan%5C%20x%20%3D%20%5Cfrac%7BP%7D%7BB%7D%5C%5Ctan%5C%20x%20%3D%20%5Cfrac%7B5%7D%7B20%7D%5C%5Ctan%5C%20x%20%3D%200.25%5C%5Cx%20%3D%20tan%5E%7B-1%7D%20%280.25%29%5C%5Cx%20%3D%2014.036)
Rounding off to nearest tenth
x = 14.0°
Keywords: Right-angled triangle, trigonometric ratios
Learn more about trigonometric ratios at:
#LearnwithBrainly
10 & 12
x = 1st consecutive even number
x + 2 = 2nd consecutive even number
x + x + 2 = 22
2x + 2 = 22
2x = 20
x = 10
x + 2 = 12
10 and 12 are the two consecutive even numbers