Answer:
-17/2
Step-by-step explanation:
- Please find the picture for your triangle.
- We know, area of a ∆ = <u>1/2 × base × height</u>
- Here, base = ( 1 + 7 ) units = <u>8 units</u>
- Height = ( 7 - 1 ) units = <u>6 units</u>
- Therefore, area of the ∆
- = <u>(1/2 × 8 × 6) square units</u>
- = <u>24 square units.</u>
<u>Answer</u><u>:</u>
<em><u>2</u><u>4</u><u> </u><u>square </u></em><em><u>units</u></em>
Hope you can get an idea from it.
Carry on learning.
Doubt clarification - use comment section.
<h2>
Hello!</h2>
The answer is:
The total height of the 17-story building is 74.29 meters.
<h2>
Why?</h2>
This a unit convertion problem. We know that there is a 17-story building and the height of each story, we need to convert the units and then, calculate the total height.
We need to use the following convertion factors:
![1meter=100cm](https://tex.z-dn.net/?f=1meter%3D100cm)
![1decimeter(dm)=10cm](https://tex.z-dn.net/?f=1decimeter%28dm%29%3D10cm)
Now, converting the given units we have:
Meters to centimeters:
![1meter=100cm](https://tex.z-dn.net/?f=1meter%3D100cm)
![4*1meter=4*100cm](https://tex.z-dn.net/?f=4%2A1meter%3D4%2A100cm)
![4m=400cm](https://tex.z-dn.net/?f=4m%3D400cm)
Decimeters to centimeters:
![1decimeter(dm)=10cm](https://tex.z-dn.net/?f=1decimeter%28dm%29%3D10cm)
![2*1decimeter(dm)=2*10cm](https://tex.z-dn.net/?f=2%2A1decimeter%28dm%29%3D2%2A10cm)
![2dm=20cm](https://tex.z-dn.net/?f=2dm%3D20cm)
So, we know that one story measures 4 meters, 2 decimeters (dm) and 17 centimeters (cm), and if we want to calculate the total height of the 17-story building, we need to use the following equation:
![TotalHeight=17*(HeightDimension)](https://tex.z-dn.net/?f=TotalHeight%3D17%2A%28HeightDimension%29)
![TotalHeight=17*(400cm+20cm+17cm)=17*(437cm)=7429cm](https://tex.z-dn.net/?f=TotalHeight%3D17%2A%28400cm%2B20cm%2B17cm%29%3D17%2A%28437cm%29%3D7429cm)
Now,
Converting from centimeters to meters, we have:
![7429cm=7429cm*\frac{1m}{100cm}=74.29m](https://tex.z-dn.net/?f=7429cm%3D7429cm%2A%5Cfrac%7B1m%7D%7B100cm%7D%3D74.29m)
Hence, we have that the total height of the 17-story building is 74.29 meters.
Have a nice day!
A part of the question is missing which is;
What is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances? Round to the nearest whole number.
Answer:
133 days
Step-by-step explanation:
We are given;
Population mean; μ = 85 days Population standard deviation; σ = 29 days
significance level; α = 5% = 0.05
Critical value of z at significance level of 0.05 = 1.645
Now, formula for z-score is;
z = (x - μ)/σ
Where x is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances.
1.645 = (x - 85)/29
(1.645 × 29) = x - 85
47.705 = x - 85
x = 85 + 47.705
x = 132.705
x ≈ 133 days
Answer:
B is the y-intercept. Where you start your slope.
Step-by-step explanation: