Answer:
13 feet long
Step-by-step explanation:
This situation forms a right triangle, where the ladder is the hypotenuse, the distance away from the building is the short leg, and the height to the side of the building is the long leg.
Use the pythagorean theorem, and solve for c, the hypotenuse:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
So, the ladder is 13 feet long
Answer:
a) volume = 321.55 in³
Step-by-step explanation:
volume = 4/3πr³ = 4/3(3.14)4.25³) = 321.55 in³
Answer:
1. 36 miles
2. 108 miles
3. 234 miles
Step-by-step explanation:
Here we have the Distance in miles, time and calculated speed as follows;
Distance (miles) Elapsed time (hours) Speed (miles/hour)
0 0 0
72 2 36
144 4 36
216 6 36
Distance = Speed (miles/hour) × Elapsed Time (hour)
Therefore, in
1. 1 hour, she travels
1 × 36 = 36 miles
2. 3 hours she travels
3 hours × 36 miles/hour = 108 miles
3. 6.5 hours she travels
6.5 hours × 36 miles/hour = 234 miles.
This question is not correctly written.
Complete Question
Select all equations that can represent the question: "How many groups of 4/5 are in 1?" A ?⋅1=4/5? Times 1 is equal to 4 fifths B 1⋅4/5=?1 times 4 fifths is equal to ? C 4/5÷1=?4 fifths divided by 1 is equal to ? D ?⋅4/5=1? Times 4 fifths is equal to 1 E 1÷4/5=?1 divided by 4 fifths is equal to ?
Answer:
D ?⋅4/5=1 = ? Times 4 fifths is equal to
E 1÷4/5=? = 1 divided by 4 fifths is equal to
Step-by-step explanation:
How many groups of 4/5 are in 1?
The operation used to solve this is that Division operation.
Hence, we solve it by saying:
1 ÷ 4/5 = ?
= 1× 5/4 = ?
5/4 = ?
Cross Multiply
5 = 4 × ?
? = 5/4
The equations that can represent the question: is
Option D ?⋅4/5=1 = ? Times 4 fifths is equal to
Option E 1÷4/5=? = 1 divided by 4 fifths is equal to
Answer:
k = 5
Step-by-step explanation:
-2k = k - 7 - 8
Combine like terms
-2k = k - 15
add 15 to both sides
-2k + 15 = k
Add 2k to both sides
15 = 3k
Divide both sides by 3
k=5
Hope this helps!
