Answer:
w=17
Step-by-step explanation:
-243=-9(10+w)
-243=-90-9w
+90 +90
-153=-9w
17=w
hope this helps :)
Answer:
186 beats per minute
Step-by-step explanation:
The maximum heart rate (r ) in beats per minute is modeled by the equation :
r = 220 - a ...(1)
Where
a is age of the person in years
If Sanchez age is, a = 34 years
Put a = 34 in equation (1)
r = 220 - 34
= 186 beats per minute
Hence, the maximum heart rate is 186 beats per minute.
Here y=1/2 x=pi/3=60°
y=cosx
1/2=cos60° and cos60°=1/2
so LHS=RHS
so that point is on curve y=cosx
Answer: 5.196152423
Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.
I didn't round any of the numbers. Hopefully this is correct.
Sorry about the messy diagrams (never been good at creating them) and how long it took.
1) The scale factor for the dilation is 2/3.
2) The polygon became smaller after the dilation because you are multiplying by a scale factor less than 1.
3) The ratio of the areas is 2/5.