Answer:
The height of the triangle is 6.4cm
Step-by-step explanation:
- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.
Which is equivalent to the description of an isosceles triangle.
To find the height, use the equation of the area.
Area = (Base * height) / 2
- We know the value of the area and its shorter side that could be the base.
40cm = (12.5 cm * h) / 2
- Clearing the height would give that:
80cm / 12.5cm = h
h = 6.4cm
The height of the triangle is 12.5cm
You can start with the equation of
(1/6)x8+(1/8)x6+(1/12)x X=3
Multiply by common denominator of 24 to get
32+18+2x=72
Simplify it we get
50+2x=72
Eliminate using algebra (because it’s add 50 take away the 50 on both sides)
2x=22
Because it’s X2 divide by 2 on both sides
x=11
It will take 11 days
Answer:
option C.
Yes, the water tank is about 245 cubic feet too small
Step-by-step explanation:
step 1
Determine the volume of the cylindrical tank
we know that
The volume of a cylinder is equal to

Remember that

we have

assume

substitute


Compare with 251 cubic feet

therefore
Yes, the water tank is about 245 cubic feet too small
Answer: 
Step-by-step explanation:
According to the given information, we have
Sample size : n= 50


Since population standard deviation is unknown, so we use t-test.
Critical value for 95 percent confidence interval :

Confidence interval : 

Required 95% confidence interval : 
Answer:
4. A) 
3. A) 
2. D) 
1. C) 
Step-by-step explanation:
4. Two families combined have <em>at</em><em> </em><em>least</em><em> </em>3 pets.
3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords <em>at</em><em> </em><em>least</em><em> </em>$1500<em> </em>mean <em>greater</em><em> </em><em>than</em><em> </em><em>or</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em>$1500.
2. Find the correspondents, then determine what inequality to use. In this case, you will use <em>less than</em><em> </em><em>or equal</em><em> </em><em>to</em><em> </em>because overpaying is UNNECESSARY.
1. <em>Eight</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>and <em>twelve</em><em> </em><em>dollars</em><em> </em><em>each</em><em> </em><em>pizza</em><em> </em>is <em>12x</em><em> </em>and <em>8x</em>.<em> </em>The rest is straightforward simple because you now have your <em>initial</em><em> </em><em>costs</em><em> </em>of <em>$</em><em>45</em><em> </em>and <em>$</em><em>5</em>,<em> </em>and the exercise tells you that the total charge for Company A is <em>less than</em> the total charge for Company B, therefore you have your answer.
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