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SpyIntel [72]
3 years ago
8

Solve algebraically 16 = 64 - 32t

Mathematics
2 answers:
mr_godi [17]3 years ago
7 0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

exact form. t=3/2

decimal form. 1.5

GaryK [48]3 years ago
6 0

Answer:

t= 3/2 (i think this is what you meant?)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

16=64−32t

16=64+−32t

16=−32t+64

Step 2: Flip the equation.

−32t+64=16

Step 3: Subtract 64 from both sides.

−32t+64−64=16−64

−32t=−48

Step 4: Divide both sides by -32

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In the equation y = x - 5, the slope is
mezya [45]

Answer:

the slope is x or 1x

Step-by-step explanation:

i hope this helps :)

4 0
3 years ago
the ratio of an equal side of an isosceles triangle to it's base is 3:4 and it's perimeter is 60 cm. find its area.​
Ann [662]

Answer:

160.10 (2 dp.)

Step-by-step explanation:

So when you have ratio questions, similar to this one, you should always add up the parts.

This question actually involves many steps.

We are trying to find the length of all the sides first, we already know that the 3 sides add up to 60cm.

The triangle is made up of 3:3:4, as it has two equal sides and one base. The total parts is 3 + 3 + 4 = 10.

To find how much one part is. we divide the perimeter by the total parts

60/10 = 6

If one part equals 6, then we just multiply by the number of parts to find the entire length, this means that the sides equal 6 x 3 = 18 and the base is

6 x 4 = 24.

Now, we need to find the height in order to find the area of the triangle, to find the height we will be using Pythagoras theorem.

Pythagoras theorem states that a^2 + b^2 = c^2

If we split the triangle in half down the middle, we have a right angle triangle, we know the length of hypotenuse and one side.

The hypotenuse would be one of the equal sides of the isosceles triangle, which is 18cm, and the other side would be half of the base which is 24/2 = 12cm , as we are splitting the isosceles triangle down the middle.

Now we can use the theorem to find the height:

a = height

b = 12

c = 18

Formula:

h^2 + 12^2 = 18^2

rearrange and simplify:

18^2 - 12^2 = h^2

324 - 144 = h^2

180 = h^2

h = root 180 (we will leave this as a surd as it is not a perfect square)

Now that we know the height we can find the area, the formula of a triangle is half x base x height:

1/2 x 24 x root 180

= 160.10 (2 dp.)

Hope this helps,

Cate

5 0
3 years ago
Referring to the figure, find the surface area
Korvikt [17]

Answer:

2545 m rounded from 2544.69

Step-by-step explanation:

A=2 π r h + 2 π r 2 = 2 · π · 15 · 12 + 2 · π  ·152

≈ 2544.69005

rounded to 2545

~~~

3 0
3 years ago
Read 2 more answers
Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they
Tems11 [23]

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

3 0
3 years ago
A store have a 12.7% discount on $2002 furniture. what is the new price
pogonyaev

Answer:

$1,747.75

Step-by-step explanation:

(12.7% = 0.127)

$2,002 x 0.127 = 254.25

$2,002 - 254.25 = $1,747.75

8 0
3 years ago
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