Answer:
Volume
Figure 1 = 56 cube units
figure 2 = 60 cube units
figure 3 =72 cube units
Surface area
Figure 1 = 100 square units
figure 2 = 104 square units
figure 3 =108 square units
Step-by-step explanation:
From the all figure we can see that each figure made up of unit cubes
<u>Figure 1</u>
<u>Surface area </u>
Large cuboid portion =2 x (6 x 2 ) + (6 x 4) + 2 x(4 x 2) + 16
= 24 + 24 + 16 + 16 = 80 unit square
Small cuboid portion = (4 x 2) + (2 x 2) + (4 x 2) = 8 + 4 + 8 = 20
Total surface area = 80 + 20 = 100 unit square
<u>Volume</u>
Small cuboid = 4 x 2 = 8
Large cuboid = 6 x 4 x 2 = 48 cube unit
Total volume = 48 + 8 = 56 cubs units
<u>Figure 2</u>
<u>Surface area </u>
Total surface area =24 + 18 + 36 + 20 + 6 = 104 unit square
<u>Volume</u>
Small cuboid = 6 x 2 = 12
Large cuboid = 6 x 4 x 2 = 48 unit square
Total volume = 48 + 12 = 60 cube units
<u>Figure 3</u>
<u>Surface area </u>
Total surface area = 48 + 36 + 24 = 108 square units
<u>Volume</u>
Total volume = 6 x 4 x 3 = 72 cube units
Most likely inches or centimeters depending on where your from.
Answer:
0.0062 = 0.62% of the 24-ounce bags contain less than the advertised 24 ounces of chips.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 24.5 ounces and a standard deviation of 0.2 ounce.
This means that 
What proportion of the 24-ounce bags contain less than the advertised 24 ounces of chips?
This is the p-value of Z when X = 24. So
has a p-value of 0.0062.
0.0062 = 0.62% of the 24-ounce bags contain less than the advertised 24 ounces of chips.
Im guessing 35 miltiplyed by 8 mean ing 35 by 8= 35of8 whitch is equal to 280
<h3>
Answers</h3>
- SSS congruence theorem
- SAS congruence theorem
- ASA congruence theorem
- AAS congruence theorem
- HL congruence theorem
================================
Explanation:
- SSS stands for "Side side side" indicating there are 3 pairs of sides that are same length. Visually we use tickmarks to show how the sides pair up. Eg: sides that have 1 tickmark only are the same length. If we know that all 3 pairs of sides are congruent, then we have enough info to conclude the triangles are congruent.
- SAS means "side angle side". The angle is between the two sides. The sides in question are the ones with tickmarks to indicate how they pair up.
- We have two angles and a side between them. So we use ASA this time. It stands for "Angle side angle". This is slightly different from AAS.
- We'll use AAS here. The side is not between the two angles. So this is why AAS is different from ASA. Some books may call "AAS" as "SAA", but they're the same thing.
- HL stands for hypotenuse leg. This only applies to right triangles (since the hypotenuse is a special term for the longest side of a right triangle). The hypotenuse is always opposite the 90 degree angle. This is the only time when SSA will work. Otherwise, SSA is ambiguous and it is not a valid congruence theorem.
