Divide by 4 to get the mass of a single bag and then multiply by 1000 to get to grams from kilograms
6/4=1.5
1.5*1000=1500
therefore a single bag of sugar weighs 1500 grams
The proportion is 100:32.
You can put this into a fraction 100/32 and conclude that P is 3.3 repeating times larger than Q.
When Q=80, P will be 3.3 times larger than 80.
The answer is P = 266.6 repeating or 266.67.
Answer:
<u>Initial volume:</u>
<u>Increased volume:</u>
<u>Volume of the medallion:</u>
Density = mass / volume
<u>Density is:</u>
Answer:
See explanation
Step-by-step explanation:
The constant of variation is found using the slope formula:
The given relation is
X : -2 , -3, -4, -5
Y : -5, -7.5,-10,-12.5
We can use any two ordered pair to find the constant of variation.
Using (-2,-5) and (-3,-7.5), we have
The constant of variation is 2.5
We need to repeat this for all the options to identify the one with -2.5 as slope.
unfortunately, you did not provide the remaining options.
We know that
<span>sec (theta)=1/cos (theta)
</span><span>cot (theta) = -2
cot (theta)=cos (theta)/sin (theta)
</span>cos (theta)/sin (theta)=-2----> squaring-----> cos² (theta)/sin² (theta)=4
<span>remember that
sin</span>²(theta)+cos²(theta)=1
sin² (theta)=1-cos² (theta)
substitute
cos² (theta)/[1-cos² (theta)]=4
cos² (theta)=4*[1-cos² (theta)]-----> cos² (theta)+4 cos² (theta)=4
5*cos² (theta)=4-----> cos² (theta)=4/5----> cos (theta)=2/√5
cos (theta)=(2√5)/5-----> is positive (IV quadrant)
sec (theta)=1/cos (theta)----> √5/2
the answer is
sec (theta)=√5/2
