Answer:
52 square units
Step-by-step explanation:
For this you need the length of CB and the length of DA.
|CB| = √(10²+2²) = 2√26
|DA| = √(10²+2²) = 2√26
area of ABC = base · height / 2 = 2√26 · 2√26 / 2 = 52
The floor tile is made up of 5 pieces of 2 inches by 2 inches square.
Area of 1 square = 2 x 2 = 4 in²
Area of 5 square = 4 x 5 = 20 in²
Volume of the floor tile = 20 x 3/4 = 15 in³
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Answer: 15 in³ (Answer G)
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For the equation of the line of the form y = mx + b, m is the slope of the line and b is the y-intercept which is the value of y when x is equal to zero. The slope is the rate of change of y per change in x. "y" would represent the dependent variable which is the weight of the baby while "x" represents the independent variable which is the number of months or the age of the baby in months. We calculate the slope as follows:
slope = (11 - 9) / ( 4 - 0) = 2/4 = 0.5
at x = 0, it is said that the weight of the baby is 9 lbs so the value of b would be 9.
The equation of the line would be y = 0.5x + 9
Answer:
x = 10
Step-by-step explanation:
From what we can see in the diagram, the smaller triangle dimensions were dilated by a factor of 3
So to get the dimensions of the smaller from the bigger or larger triangle, we proceed to divide what we have on the larger triangle by 3
Kindly note that we do this for the comparable sides
Mathematically, we can have x as;
30/3 = 10
Answer:
5.5 days (nearest tenth)
Step-by-step explanation:
<u>Given formula:</u>
= initial mass (at time t=0)- N = mass (at time t)
- k = a positive constant
- t = time (in days)
Given values:
- = 11 g
- k = 0.125
Half-life: The <u>time</u> required for a quantity to reduce to <u>half of its initial value</u>.
To find the time it takes (in days) for the substance to reduce to half of its initial value, substitute the given values into the formula and set N to half of the initial mass, then solve for t:
Therefore, the substance's half-life is 5.5 days (nearest tenth).
Learn more about solving exponential equations here:
brainly.com/question/28016999
