Answer:
9.49
Step-by-step explanation:
Using the Pythagorean Theorem, we know a²+b²=c².
So 3²+9²=(BA)²
9+81=(BA)²
90=(BA)²
From this, we know BA=√90
BA=9.486
Rounding to the nearest hundredth, this is 9.49
Please consider a brainliest! Thank you!
Hello!
Divide the amount of chairs (30) that 12 people can build by the number of hours (8) it takes to build them, to find out how many chairs they make per hour.
30 ÷ 8 = 3.75
This means that they make they make 3.75 chairs per hour. Multiply this by 100 hours.
3.75 × 100 = 375
ANSWER:
The people can build D. 375 chairs in 100 hours.
Answer:
...
Step-by-step explanation:
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
