A rectangle is a parallelogram, so it’s opposite angles are congruent and it’s consecutive angles are supplementary
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
Answer:
<u>The probability that Deena will choose a pair of white socks is 4/10 or 40%</u>
Step-by-step explanation:
Let's check the information provided to us to answer the question correctly:
Total pairs or socks Deena has = 10
Pairs of white socks Deena has = 4
Pairs of black socks Deena has = 3
Pairs of red socks Deena has = 1
Pairs of navy socks Deena has = 2
If she pulls a pair of socks out of her drawer in the morning without looking, what is the probability that she will choose a pair of white socks?
Probability of Deena will choose a pair of white socks = Pairs of white socks Deena has/Total pairs or socks Deena has
Replacing with the real values, we have:
Probability of Deena will choose a pair of white socks = 4/10 or 40%
Answer:
93%
Step-by-step explanation:
There are 100 squares per large square so 200 squares total.
14 of them are in shaded.
200-14= 186
186/200=.93
move the decimal point two to the right to get the percentage out of a number.
.93=93%
The ratio of the number of coins carlo had to the number of coins eli had is 4 : 1
<h3>What are ratios?</h3>
Ratios are used to compare quantities of different measurements
Represent the amount of coins each person by the first letter of their names
So, the given parameters are:
The ratio of the number of coins carlo had to the number of coins eli had is represented as:
Substitute 2d for c
Substitute 2e for d
Cancel out the common factor
Hence, the ratio is 4 : 1
Read more about ratios at:
brainly.com/question/1781657
