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sergeinik [125]
3 years ago
11

Mark is six years older than his brother Sam. The sum of their ages is 30. Let a be Sam's age. Set up and solve an equation usin

g the information given to find the value of a.
Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0

Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

a = 12

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My name is Ann [436]

Answer:

\$12,679.50

Step-by-step explanation:

we know that

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r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=11\ years\\ P=\$7,900\\ A=?\\r=5.5\%=5.5/100=0.055

substitute in the formula above

A=7,900(1+0.055*11)

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3 years ago
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2 years ago
I have to determine the length please show me the steps
iogann1982 [59]

Answer:

c = 11.03 m

Step-by-step explanation:

In this given <em>right isoceles triangle</em>, one of the sides are labeled as 7.8 m. We'll label this side as "a."  

The length of side "a" is congruent to the other side. Therefore, the measurement of the other side is also 7.8 m.

We can use the Pythagorean Theorem to solve for the measurement of the hypotenuse, side "c."

According to the Pythagorean Theorem: c^{2} =  a^{2} + a^{2}.

We'll plug in the values for side "a" and side "b" into the formula:

c^{2} =  a^{2} + a^{2}

c^{2} =  2a^{2}

c^{2} =  2(7.8 m)^{2}

c^{2} =  121.68 m^{2}

To calculate the value of "c," we must take the squared root of 2a^{2}:

\sqrt{c^{2}}  = \sqrt{121.68}

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8 0
2 years ago
A triangle has sides which are consecutive odd integers and an
wolverine [178]

Answer:

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Step-by-step explanation:

We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.

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Thus, perimeter is;

P = (x - 2) + x + (x + 2)

P = 3x

If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.

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Using cosine rule, we have;

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This reduces to;

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So,perimeter is;

P = 3x = 3 × 5 = 15

8 0
3 years ago
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Aloiza [94]

Correct answer is C) 2.3 units and 7.8 units

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3 years ago
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