Answer:
C. x=14
Step-by-step explanation:
Answer:
11.25 m
Step-by-step explanation:
45 divide by 4
because the Apple tree is 45 the size of pear tree
It is correct to say d=2r?
Is it possible you mean d=r•r. Because that is incorrect.
Answer:
TV is 16 inches tall.
Step-by-step explanation:
Given Data:
Width of TV = w = 30 inches
Diagonal length of TV = d = 34 inches
To Find out:
height of TV = h = ?
Formula:
According to Pythagoras's theorem.
![d^{2} = h^{2} + w^{2}](https://tex.z-dn.net/?f=d%5E%7B2%7D%20%3D%20h%5E%7B2%7D%20%2B%20w%5E%7B2%7D)
![h^{2} = d^{2} - w^{2}](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%20d%5E%7B2%7D%20-%20w%5E%7B2%7D)
Solution:
![h^{2} = d^{2} - w^{2}](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%20d%5E%7B2%7D%20-%20w%5E%7B2%7D)
![h^{2} = 34^{2} -30 ^{2}](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%2034%5E%7B2%7D%20-30%20%5E%7B2%7D)
![h^{2} = 1156 -900](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%201156%20-900)
![h^{2} = 256](https://tex.z-dn.net/?f=h%5E%7B2%7D%20%3D%20256)
![h = \sqrt{256}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7B256%7D)
h = 16 inches
Hence TV is 16 inches tall.
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
which simplifies to
and a bit more to
(which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
so
![a_{13}=38](https://tex.z-dn.net/?f=a_%7B13%7D%3D38)