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serious [3.7K]
3 years ago
12

Prove that the value of expression 97+312 is divisible by 90.

Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

97 + 312 = 409

409 is not divisible by 90.

There must be a mistake in the question.

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A paint store makes three batches of a color called Sunset Orange using the recipe shown.
iris [78.8K]

Answer:

Suppose that the batch has N liters of paint.

we know that the recipe is:

1/2 of red paint

1/3 of yellow paint

1/6 of white paint.

Then, out of the N liters, 1/2 is red.

This means that we must use:

N/2 liters of red paint.

And the same for the other two colors:

N/3 liters of yellow paint

N/6 liters of white paint.

When we add those 3, we have:

(N/2 + N/3 + N/6)  = (3*N/6 + 2*N/6 + N/6) = N.

Now, if for example N = 2

Then the batch has 2 liters of paint, this would mean that we must use:

2/2 liters of red paint

2/3 liters of yellow paint

2/6 liters of white paint.

4 0
4 years ago
If a rectangle measures 20 meters by 48 meters, what is the length, of the diagonal of the rectangle? Can you help me with this
Vikki [24]
the \ width \ of \ the \ rectangle : \ w=20 \ m \\ \\ the \ length \ of \ the \ rectangle : \ l=48 \m \\ \\ Diagonal : \ \sqrt{w^2 + l^2}\\ \\D =\sqrt{20^2 + 48^2} \\ \\D=\sqrt{400+2304}=\sqrt{2704}= 52 \ m


8 0
4 years ago
Determine which trig ratio you would use to find the height of the tree.
Viktor [21]
Sin= p/h , cos= b/h , tan= p/b
3 0
3 years ago
Q = x^3 â xGiven that x is a positive integer such that x ⥠75, which of the following is the remainder when Q is divided by 6?
geniusboy [140]

Answer:

A) 0

Step-by-step explanation:

Given that

Q=x^{3}-x\\\\x(x^{2}-1)\\\\x(x+1)(x-1)

Divisor = 6 = 3*2

\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{6}\\\\\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{2 \times 3}\\

As it can be see that x ≥ 75 and Q is product of three consecutive terms (x-1), x, (x+1) which is always completely divisible by 2, 3 and 6. So remainder is zero

4 0
3 years ago
Identify the measure of arc HD◠.
meriva

Answer:

The measure of arc HD is 20°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

In the triangle of the figure , the measure of the third  interior angle is equal to

180°-92°-38°= 50°

50°=(1/2)[(102+18)°-arc HD]

100°=[120°-arc HD]

arc HD=120°-100°=20°

5 0
3 years ago
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