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kondaur [170]
3 years ago
13

4) Divide 500g into the ratio 2:3​

Mathematics
1 answer:
amm18123 years ago
8 0
There's a different way I solve ratio equations compared to most typical ways of solving these kinds of questions, but it's always worked for me so I'll use it here.

You can add all the numbers in the ratio together and include a constant. This can basically be any variable.

In this case, 2n+3n = 5n (since the ratio is 2:3)
5n = 500
n = 100
Now we know that the constant is 100.

Multiply the constant into the ratio:
2n:3n
2(100):3(100)
200:300
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Find the missing side lengths​
AURORKA [14]

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

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5 0
3 years ago
Alan is 14 years old. he is twice as old as his brother James. how old is James?
Degger [83]

Alan is 14 years old

He is twice as old as James

then Alan is the elder brother

Alan is twice as old means his age is double the age of James

Alans age = 2 x james age

that means James must be half of Alans age

Alans age = 14 years

James age = 14 / 2 = 7 years

therefore James is 7 years old

4 0
3 years ago
Read 2 more answers
Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with sides of lengths 119, 147,
stiks02 [169]

Answer:

$87,461

Step-by-step explanation:

Given that the dimensions or sides of lengths of the triangle are 119, 147, and 190 ft

where S is the semi perimeter of the triangle, that is, s = (a + b + c)/2.

S = (119 + 147 + 190) / 2 = 456/ 2 = 228

Using Heron's formula which gives the area in terms of the three sides of the triangle

= √s(s – a)(s – b)(s – c)

Therefore we have = √228 (228 - 119)(228 - 147)(228 - 190)

=> √228 (109)(81)(38)

= √228(335502)

=√76494456

= 8746.1109071 * $10

= 87461.109071

≈$87,461

Hence, the value of a triangular lot with sides of lengths 119, 147, and 190 ft is $87,461.

6 0
3 years ago
Simplify 3 1/2÷ 2 1/3 - 3/4​
kkurt [141]

Answer:

3/4

Step-by-step explanation:

7 0
3 years ago
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W = 13, x = 9, y = 1.9, z = 0.5<br><br><br> x2 + 4
prisoha [69]

Answer:

17 is the answer

Step-by-step explanation:

6 0
3 years ago
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