Answer:
(hope this helps can I pls have brainlist (crown) ☺️)
Step-by-step explanation:
7^8 x 7^3 x 7^4 / 7^9 7^5
= 7^(8+3+4) / 7^(9+5)
= 7^15 / 7^14
= 7^(15-14)
= 7.
When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:
7^8 x 7^3 x 7^4= 7^15
Now, look at the rest of the simplified equation and do the same to the denominator:
7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14
When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer = 7^15-14 = 7^1 = 7
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1 2 inches long. The scale of the floor plan is 1 4 inch = 1 foot. What is the actual length of Hector’s room? A) 13 feet B) 14 feet C) 15 feet D) 16 feet <span> 1/4 inch = 1 foot
1 inch = 4 feet
3.5 inches = 3.5 * 4 feet = (b) 14 feet.</span>
Answer:
351
Step-by-step explanation:
d
This is like a triangle.
One side, the hypotenuse, is the length of the ladder, 10 feet in this case.
Another side, one of legs, is the distance from the bottom of the ladder to the side of the wall, 6 feet.
The last side is what we need to find, how high up the ladder reaches.
Using the p<span>ythagorean theorem, we can find this third side.
This is written as a^2 + b^2 = c^2.
A and B are the legs, while C is the hypotenuse.
Plugging in known values, we get:
6^2 + b^2 = 10^2
Solve as much as possible:
6^2 = 36
10^2 = 100
36 + b^2 = 100
Now you must isolate b.
Subtract 36 from both sides.
100 - 36 = 64
b^2 = 64
The last step in finding b is doing the inverse of squaring, which is square rooting.
√64 = 8
So b equals 8.
This means that <span>the ladder can reach 8 feet up the wall.</span></span>
9 is obtuse isosceles 10 is scalene,right <span />
