MATHEMATICS HIGH SCHOOL

A pack of 9 toilet rolls costs £4.23A pack of 4 toilet rolls costs £1.96

Which pack gives the better value for money?

You must show all your working.

Answers

Answer 1
Answer: A pack of 4 toliet paper rolls is a better deal because it is better to get 2 packs 4 toilet rolls cost for £1.96 than 9 for  £4.23.

1.96 times 2 is 3.92, so it is better to get the  toilet rolls cost for £1.96

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Which is bigger 40% of 120 or 1/4 of 200

Answers

1/4 of 200 is bigger because it is 50 and 40% of 120 is 48

The triangles below are similar. Which similarity statement expresses the relationship between the two triangles?

A. ΔZXY≈ΔCAB
B. ΔZXY≈ΔACB
C. ΔZXY≈ΔCBA
D. ΔZXY≈ΔABC

Answers

Answer:

A. ΔZXY≈ΔCAB

Step-by-step explanation:

In the smaller triangle, YZ is the smallest side.  In the larger triangle, BC is the smallest side.  This means that YZ corresponds to BC.

In the smaller triangle, YX is the "medium sized" side.  In the larger triangle, BA is the "medium sized" side.  This means that YX corresponds to BA.

In the smaller triangle, ZX is the longest side.  In the larger triangle, CA is the longest side.  This means that ZX corresponds to CA.

This gives us that Z corresponds to C, X corresponds to A and Y corresponds to B.  This gives us the similarity statement

ZXY~CAB
we know that

the scale factor is equal to 2
so
CB≈ZY
BA≈YX
CA≈ZX

therefore
Δ ZXY≈ΔCAB

the answer is the option
A. ΔZXY≈ΔCAB

HW 2: Angles of TrianglesFind the missing angle:
1
Measure of Angle 1 =
67
62

Answers

Hi there, to answer this problem we will first need to identify the third missing angle inside the triangle. Triangles add to 180 degrees, therefore we can add the two provided sides: 62+67= 129. To find the third angle, we can subtract 129 from 180 and end with 51. This is the measurement of the third angle inside the triangle. Now we can take this number and subtract it from 180, because the value you are looking for is located on a straight 180 degree line which forms one side of the triangle. The answer to your questions is: the measure of angle 1 is 51 degrees. Hope this helps!!

How many gallons of water are in the tank when the pumps were turned on

Answers

If the question is asking how much water was in the tank the instant that the water was turned on, that means that it is asking how much water was in the tank when t=0
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There are 312 calories in six ounces of a certain ice cream. How many calories are there in three pounds?

Answers

1 lb = 16 oz
312/6 = 52 cal/oz
16(3) = 48 oz
52(48) = 2496 calories

Answer:

2496 calorise

Step-by-step explanation:

3 pounds = 3 x 16 = 48 ounces

312 cal = 6 ounces, so the unit rate is ( 312 ÷ 6 = 52) 52 cal per ounce

52 x 48 ounces = 2,496

Glad I could help

The line y=mx is tangent to the curve y^2 = X-C. Show that c = 1/ (4m^2)

Answers

Hello,
Let (a,b) the intersection of the tangent and the curve.
That point must be double.

So
 b=m*a
b²=a-c
==>(ma)²-a+c=0
==>m²a²-a+c=0 roots must be equal
Δ=(-1)²-4*m²c=0 => 4m²c=1==>c=1/(4m²)
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