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2 years ago

Isaac is 3 years older than Rachael. In 4 years the sum of their ages will be 75. How old is Isaac now?

Mathematics

2 answers:

MatroZZZ [7]2 years ago

6 0

Answer:

36 years old

Step-by-step explanation:

let x = age of Rachael

2x+3 = current ages combined

[(2x+3)+4]+4 = 75

2x+11 = 75

2x = 75-11

2x = 64

x = 32

Rachel is 32 years old. Isaac is 3 years older, which is 35 years old.

Hope this helped! If you need any help, tell me in the comments.

IRINA_888 [86]2 years ago

4 0

I hope this clears it up. R is Rachaels age and I is Isaacs age. The first equation at the top represents that Isaac is 3 years older than Rachael. The second equation represents their combined ages in 4 years. Follow the arrows to see where I get my numbers and variables

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A kitchen counter will be designed according to the measurements of the diagram in the image. What is the area of the surface of

Semmy [17]

Answer:

B:31.5

Step-by-step explanation:

Find areas of both rectangles by multiplying the 2 given values (12 & 15)

Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)

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2 years ago

Read 2 more answers

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Alik [6]

Answer:

(D) 30 degrees

Step-by-step explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

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By the theorem above and from the attached diagram,

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2 years ago

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.

Pepsi [2]

Answer:

$x=20$

$y=10\,\sqrt{3}$

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

$tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}$

and also:

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2 years ago

Point J is on line segment I K ‾ IK . Given J K = x + 6 , JK=x+6, I J = 9 , IJ=9, and I K = 2 x , IK=2x, determine the numerical

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Step-by-step explanation:

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3 years ago

The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side

seropon [69]

Answer:

7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

a + b + c = 17.5

3b - 2 + b + 3b - 1.5 = 17.5
7b - 3.5 = 17.5
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Find the value of a:

a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

a = 7 feet, b = 3 feet, c = 7.5 feet

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1 year ago