Let's solve your inequality step-by-step.<span><span><span>5x</span>+3</span><18
</span>Step 1: Subtract 3 from both sides.<span><span><span><span>5x</span>+3</span>−3</span><<span>18−3</span></span><span><span>5x</span><15
</span>Step 2: Divide both sides by 5. <span><span><span>5x/</span>5</span><<span>15/5
</span></span><span>x<3
</span>Answer:<span>x<<span>3</span></span>
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
75√109.5=1.46
1.2√79.1=65.92
5.2√9.16=1.76
17.1 =17.1
Answer:
B = 61.0
Step-by-step explanation:
Since this is a right angle, we can use trig functions
sin theta = opp side/ hypotenuse
sin B = 7/8
Take the inverse of each side
sin ^-1 ( sin B) = sin ^ -1 (7/8)
B =61.04497563
To the nearest tenth
B = 61.0
You already have figured the main idea. In this case, the population is growing 1.9% a year. This word can be translated into: multiplied by 101.9% (100+1.9%). That means the P0 is 6 bill, the base is 101.9%(or 1.019) and the time is 50 years. The calculation would be:
<span>P(t)=P₀a^t
</span>P(t)=6 billion * 101.9%^50= 6 billion * <span>2.56276= 15.38 billion</span><span>
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