The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59
This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.
The n-th term is
The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
= 29 + 320
= 349
Answer: a₃₃ = 349
Answer:
3.60m
Step-by-step explanation:
In backwaters of Kerala, a boatman was throwing a boat with a long pole which has a length of 4.80m
The boatman put the pole into the water vertically, the part of the pole that was seen above the water level is 0.25m
The first step is to calculate the length of the pole that is seen above the water level
= 4.80 × 0.25
= 1.20m
Therefore the depth of the water at that point can be calculated as follows
=4.80m - 1.20m
= 3.60m
Hence the depth of the water at that point is 3.60m
−<span>2.8
</span>Okay so "0.9x-1.3=-3.1" x=-2
<span><span><span>0.9x</span>−1.3</span>=<span>−3.1
</span></span>add 1.3 to both sides
<span><span><span><span>0.9x</span>−1.3</span>+1.3</span>=<span><span>−3.1</span>+1.3
</span></span><span><span>0.9x</span>=<span>−1.8
</span></span>divide both sides by 0.9
<span><span><span>0.9x/</span>0.9</span>=<span><span>−1.8/</span><span>0.9
</span></span></span>x=<span>−2</span>
So if you plug in -2 into "x-0.8" you get −2.8
<span>=<span><span>−2</span>−0.8
</span></span><span>=<span><span>−2-</span><span>0.8
</span></span></span><span>=<span>−2.8
</span></span>Hope this helps.
Answer:
18f - 6 bottles
Step-by-step explanation:
Amanda, Bruno and Carla collected bottle caps for charity. Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda. Carla collects 3(5 + 2f) bottles. How many bottles did they collect altogether in terms of f ?
From the question
Amanda collected (4f – 3) bottle caps. Bruno collects twice as many bottle caps as Amanda.
= 2(4f - 3)
= 8f - 6 bottle caps
Carla collects 3(5 + 2f) bottles.
= 15 + 6f bottles
The number of bottles they collected altogether in terms of f is calculated as:
(4f – 3) bottle + 8f - 6 bottle + 15 + 6f bottle
4f - 3 + 8f - 6 + 15 + 6f
= 18f - 6
Answer:
90 degrees and 180 degrees
Step-by-step explanation:
90 degrees and 180 degrees
