Answer: 70cm³
EXPLANATION:
1/2 x base x height x 2 (this is to find the surface area of one of the triangular faces since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)
1/2 x base x height x 2
1/2 x 3 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>
1/2 x 18 ←<em> (multiply 3x3x2=18) </em>
9cm³ ←<em>(since 18 is 2x9 your answer is 9cm³)</em>
<em></em>
1/2 x base x height x 2 (this is to find the surface area of the other triangular face with different measurements and since the other side of the triangular shape has the same measurements you should multiply it by 2 straight away since it makes it easier for you)
1/2 x base x height x 2
1/2 x 4 x 3 x 2 ← <em>(to get the height of the triangle substract 7 from 10)</em>
1/2 x 24 ←<em> (multiply 4x3x2=24) </em>
12cm³ ←<em>(since 24 is 2x12 so your answer is 12cm³)</em>
<em></em>
Then next you have to find the surface area of one face of the rectangle and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath
A= 3x7= 21cm³
then find the area of the other rectangular face with different measurements and multiply it by 2 since the back side of the rectangle has the exact same measurements. The formula to find the area of a rectangle is area= length x breath
A= 4x7= 28cm³
<u>FINALLY</u>
add all the areas of the faces you have found and you'll get the total surface area!
<u>9+12+21+28=70cm³</u>
Thank you! I hope you understood something and I hope you have a great day! good luck!
Answer:
The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.
Step-by-step explanation:
Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:
An unusually wet spring has caused the size of a mosquito population in some city to increase by 8% each day. If an estimated 180,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the city on May 25. Use y= 180,000(1.08)x where x is number of days since May 2.
The explanation to the answer is now given as follows:
Given;
y = 180,000(1.08)x = 180,000 * 1.08 * x .................... (1)
Where;
y = Number of mosquitoes that will inhabit the city on May 25 = ?
x = Number of days since May 2 = 25 - 2 = 23
Substituting for x = 23 into equation (1), we have:
y = 180,000 * 1.08 * 23
y = 4,471,200
Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.
Answer:
Mean track length for this rock specimen is between 10.463 and 13.537
Step-by-step explanation:
99% confidence interval for the mean track length for rock specimen can be calculated using the formula:
M±
where
- M is the average track length (12 μm) in the report
- t is the two tailed t-score in 99% confidence interval (2.977)
- s is the standard deviation of track lengths in the report (2 μm)
- N is the total number of tracks (15)
putting these numbers in the formula, we get confidence interval in 99% confidence as:
12±
=12±1.537
Therefore, mean track length for this rock specimen is between 10.463 and 13.537
domain refers to the X values so option A would be correct :)
