Answer: b
Step-by-step explanation:
Answer:
By Pythagoras,
\displaystyle{r}=\sqrt{{{x}^{2}+{y}^{2}}}r=x2+y2 \displaystyle=\sqrt{{{\left(-{2}\right)}^{2}+{3}^{2}}}=(−2)2+32 \displaystyle=\sqrt{{{4}+{9}}}=\sqrt{{13}}=4+9=13
For this example, we define the trigonometric ratios for θ in the following way:
\displaystyle \sin{\theta}=\frac{y}{{r}}=\frac{3}{\sqrt{{13}}}={0.83205}sinθ=ry=133=0.83205
\displaystyle \cos{\theta}=\frac{x}{{r}}=\frac{{-{2}}}{\sqrt{{13}}}=-{0.55470}cosθ=rx=13−2=−0.55470
\displaystyle \tan{\theta}=\frac{y}{{x}}=\frac{3}{ -{{2}}}=-{1.5}tanθ=xy=−23=−1.5
\displaystyle \csc{\theta}=\frac{r}{{y}}=\frac{\sqrt{{13}}}{{3}}={1.2019}cscθ=yr=313=1.2019
\displaystyle \sec{\theta}=\frac{r}{{x}}=\frac{\sqrt{{13}}}{ -{{2}}}=-{1.80278}secθ=xr=−213=−1.80278
\displaystyle \cot{\theta}=\frac{x}{{y}}=\frac{{-{2}}}{{3}}=-{0.6667}cotθ=yx=3−2=−0.6667
Answer:
123 cm²
Step-by-step explanation:
First of all, we need to know how exactly to find the area of a parallelogram.
<u>Area</u><u> </u><u>of</u><u> </u><u>parallelogram</u><u>=</u><u> </u><u>Base</u><u>*</u><u>Height</u>
PARALLELOGRAM-
BASE= 17 ft
HEIGHT= 9ft
AREA= 17*9= 153 cm²
The area of parallelogram, will be considered as WHOLE AREA.
Now,
AREA OF MINI CAR-
length= 6 ft
Width= 5 ft
Area= 6*5= 30 ft ²
Square feet uncovere-
153 ft²- 30 ft²= 123 ft²
HOPE IT HELPS!
Solution: We are given:
Let 
be the weight (oz) of laptop
We have to find 
To find the this probability, we need to find the z score value.
The z score is given below:
Now, we have to find 
Using the standard normal table, we have:
0.9236 or 92.36% of laptops are overweight
