3 years ago

Question 5

Mathematics

1 answer:

Brrunno [24]3 years ago

3 0

I think the answer is C (2,6) but I'm not too sure

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An arithmetic series a consists of consecutive integers that are multiples of 4 what is the sum of the first 9 terms of this seq

frez [133]

<h3>Answer: 144</h3><h3>Step-by-step explanation:</h3><h3 />

Since, the first 9 multiple of 4 starts from 0 are,

0, 4, 8, 12, 16, 20, ................

Which is an AP,

Having the first term, $a_1 = 0$

And, the successive difference, d = 4,

Since, the sum of the n term of an AP,

$S_n = \frac{n}{2}[2a + (n-1)d]$

Hence the sum of 9 term of the above AP,

$S_9 = \frac{9}{2}[2\times 0 + (9-1)\times 4]$

$S_9 = \frac{9}{2}(0 + 8\times 4)$

$S_9 = \frac{9}{2}(32)$

$S_9 = \frac{288}{2}=144$

6 0

3 years ago

What is the volume of a triangular pyramid that is 5 feet tall and has a base area of 9 square feet

igomit [66]

The volume of the triangular prism as described is; 15 cubic foot.

<h3>What is the volume of the triangular prism?</h3>

It follows from the formula for calculating the volume of a triangular prism that;

Volume = (1/3) × base area × height.

Consequently,

volume of the prism is; = (1/3) ×9 × 5

Volume = 15 cubic foot

Therefore, volume of the triangular prism as described is; 15 cubic foot.

Read more on triangular prism;

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6 0

2 years ago

A water cooler holds 15 liters of sports drink. Approximately how many gallons is this

Nadya [2.5K]

The correct Anwser it is about 4 gallons because in 1 gallon tgere is 3.75 liters

7 0

3 years ago

If a muffin calls for 1 and 3/4 cups of sugar, how many cups of sugar will be needed if only 1/4 of the recipe is being made?

Anna [14]

Answer: 7/16 or .4375

Step-by-step explanation: 1/4 of 1 is 1/4. 1/4 of 3/4 is .1875 which also equals 3/16. Add 1/4 and 3/16 to get 7/16 cups of sugar or 0.4375. Hope this helps!

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3 years ago

Calculate the volume of the solid shown below with length 13.1, width 12.5, and height 14.

SIZIF [17.4K]

The volume of the cuboid is given by:
V=length*width*height
length=13.1
width=12.5
height=14
hence
V=13.1×12.5×14
V=2292. 5 cubic units

4 0

3 years ago