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SCORPION-xisa [38]
3 years ago
12

Solve 3x + 5y = 2 for y. Isolate y.

Mathematics
1 answer:
nevsk [136]3 years ago
8 0
It would be y=-3/5x+2/5
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The diagram shows a trapezium PQRS. Find the length of side PQ, in cm​
mixas84 [53]

Answer:

30 cm.

Step-by-step explanation:

Draw a line from R perpendicular to PQ to meet PQ at T.

RQT forms a right-angled triangle  with RT = SP = 15.

So tan 36.87 = RT / TQ

tan 36.87 =  15 / TQ

TQ = 15 / tan 36.87

=  20 cm.

Now  PT = SR = 10, so

PQ = 10 + 20

= 30 cm.

5 0
3 years ago
Determine whether the following statement is true or false. Justify your answer.
riadik2000 [5.3K]

Answer:

B. The statement is false. This is true only if θ is an acute angle in a right triangle.

Step-by-step explanation:

Trigonometric ratio formula can only be applied to define the relationship between the angles of a right triangle and its side lengths.

Therefore, it is impossible to define or find the tan θ of "any triangle". It only applies to right angled triangles.

In the case of a right triangle, given a reference angle, θ, tan θ = side lenght opposite to θ ÷ side lenght adjacent to θ (tan θ = \frac{opp}{adj}.

A right triangle has two acute angles and 1 right angle that which is 90°.

Therefore, we can conclude that:

"B. The statement is false. This is true only if θ is an acute angle in a right triangle."

3 0
3 years ago
In his stamp album, Jamal has 4 new stamps and 6 used stamps. Which ratio can be represented by three fifths ?
SashulF [63]

Answer:

The ratio of used stamps and total stamps can be represented by three fifths.

Step-by-step explanation:

It is give that Jamal has 4 new stamps and 6 used stamps.

New stamps = 4

Used stamps = 6

Total stamps = New stamps + Used stamps = 4 + 6 = 10

We need to find the ratio that can be represented by three fifths

\dfrac{\text{New stamps}}{\text{Used stamps}}=\dfrac{4}{6}=\dfrac{2}{3}

\dfrac{\text{New stamps}}{\text{Total stamps}}=\dfrac{4}{10}=\dfrac{2}{5}

\dfrac{\text{Used stamps}}{\text{Total stamps}}=\dfrac{6}{10}=\dfrac{3}{5}

Therefore, the ratio of used stamps and total stamps can be represented by three fifths.

6 0
3 years ago
7. The largest tree in the world by volume is
Arlecino [84]

Answer:

6 people

Step-by-step explanation:

Since it was said that the diameter at the base is 36 feet and an person with an outstretched arm would be 6 feet then 6 times 6 is 36 or you can do the division part which will be 36 divided by 6 and you will still get the same answer: 6

7 0
3 years ago
Why can you always multiply mixed numbers if you know how to multiply fractions???
alex41 [277]

Answer:

<u>If mixed numbers are </u>

  • a b/c and d e/f

<u>You can write them as a sum of a whole and fraction and use the distributive property of multiplication:</u>

  • a b/c × d e/f =
  • (a + b/c) × (d + e/f) =
  • ad + a(e/f) + d(b/c) + (b/c)(e/f)
5 0
3 years ago
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