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Grace [21]
2 years ago
12

Can someone PLEASE help?? asap

Mathematics
1 answer:
castortr0y [4]2 years ago
7 0

Step-by-step explanation:

sin(s+t) = sin(s)+cos(t) which results

(sin(s)×cos(t))/(cos(s)cos(t)) + (cos(s)×sin(t))/(cos(s)cos(t))

knowing that tan=sin/cos and that cos/cos=1 and sin/sin=1

resulting tan s ×1 + tan t × 1 = tan s + tan t

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5. A fruit concentrate is sold in 250 mL packs. The instructions are 'Add water to make one litre of ready-to-drink fruit juice'
Ierofanga [76]
Given ,

Concentrate= 250 mL

Water = 1 liter = 1000 mL

A) ratio is 250:1000 = 1:4

B) for 250 mL it is 1 liter now for 2000mL it is X .

=> x = 2000/250 = 8 liters

C) volume of water in 6L of made up juice is 1500 mL

D) 1 liter - 5 glasses

For 80 glasses it would be 80/5 = 16 glasses
4 0
2 years ago
A card is randomly drawn from a standard $52$-card deck. An ace of hearts wins the grand prize; any other ace or heart wins a sm
gogolik [260]

Answer:

3/52

Step-by-step explanation:

4 0
3 years ago
A brick wall will be shaped like a rectangular prism. The wall needs to be 3ft tall and the builders have enough bricks for the
faltersainse [42]

Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.

7 0
3 years ago
The ten's digit of a two digit number is 1 more than 4 times the units' digit. if 63 is subtracted from the number, the order of
ser-zykov [4K]
Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1

<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63

x = 4y + 1 ------------ (1)
9x - 9y = 63  ---------- (2)

Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)

x = 4(2) + 1 = 9

x = 9, y = 2
The number is 92

3 0
4 years ago
If 4 students represent 16% of the class then how many students are in the class
kobusy [5.1K]

Answer:

In total there are 25 students in the class.

6 0
3 years ago
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