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Mumz [18]
3 years ago
15

QUESTION 1<br /><br />(10 MARKS)<br /><br />Evaluate the following<br /><br />(i) (3<br /

><br />4 − 2<br /><br />3) ÷ (3<br /><br />4 + 2<br /><br />3) <br /><br />(2 Marks)<br /><br /><br /><br />(ii) (2<br /><br />4<br /><br />1<br /><br />× 2<br /><br />3) ÷ (3<br /><br />5 − 1 1<br /><br />4) <br /><br />(2 Marks) <br /><br />Simplify the following:<br /><br />i. 6 ÷ 2(1 + 2)<br /><br /><br /><br />(2 Marks)<br /><br /><br /><br />ii. 5 × −5<br /><br /><br /><br />(2 Marks)<br /><br /><br /><br />iii. 123(3 + 22) <br /><br />(2 Marks)<br /><br />QUESTION 2<br /><br /> (10 Marks) <br /><br />a) Find the amount on Simple Interest when N$ 4000 is lent at 5% p.a for 5 <br /><br />years. (2 Marks)<br /><br />b) Find the compound interest on N$ 4500 for 3 years at 6% per annum.<br /><br />(2 Marks)<br /><br />c) In case interest is paid half yearly, then the interest is divided by 2, and used <br /><br />as (R/2) in the formula and the time is multiplied by 2, and used as 2T in the <br /><br />formula, given by A=P( 1+ (R/200))2T. (2 Marks)<br /><br />d) In the case interest is paid quarterly, then the interest is divided by 4, and <br /><br />used as (R/4) in the formula and the time is multiplied by 4, and used as 4T in <br /><br />the formula, given by A=P(1+(R/400))4T payable quarterly (rate=R/4, <br /><br />time=4T) (4 M​
Mathematics
1 answer:
vlada-n [284]3 years ago
4 0
So many words symbols what’s going on lol
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Answer:

x=17.1\ in

Step-by-step explanation:

<u><em>The complete question is</em></u>

A cone and a triangular pyramid have a height of 9.3 m  and their cross-sectional areas are equal at every level  parallel to their respective bases. The radius of the base of the cone is 3 in and the other leg (not x) of the triangle base of the triangular pyramid is 3.3 in

What is the height, x, of the triangle base of the  pyramid? Round to the nearest tenth

The picture of the question in the attached figure

we know that

If their cross-sectional areas are equal at every level  parallel to their respective bases and the height is the same, then their volumes are equal

Equate the volume of the cone and the volume of the triangular pyramid

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we have

r=3\ in\\b=3.3\ in\\h=x\ in\\pi=3.14

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28.26=\frac{1}{2}(3.3)(x)

x=28.26(2)/3.3\\x=17.1\ in

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Step-by-step explanation:

The relevant trig relation is ...

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