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VMariaS [17]
3 years ago
9

When writing an expression or equation to represent a real-world situation, why is it important to be able to describe what each

part of the expression or
equations represents?
Mathematics
1 answer:
swat323 years ago
7 0

Answer:

If you know what each part of the expression or equations represents, it means that you understand the equation. You can solve the problem and know what you are doing.

I hope this helps! I'm sorry if it doesn't.

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Given: Triangle ABC : triangle ADB. AB =24, AD =16 <br> Find: AC
RoseWind [281]

Answer:

<h2>AC = 36.01</h2>

Step-by-step explanation:

Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.

From ΔADB, AB² = AD²+BD²

Given AB = 24 and AD = 16

BD² = AB² - AD²

BD² = 24²-16²

BD² = 576-256

BD² = 320

BD = \sqrt{320}

BD = 17.9

from ΔABC, AC² = AB²+BC²

SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;

(AD+DC)² = AB²+ (BD² + DC²)

Given AD = 16, AB = 24 and BD = 17.9, on substituting

(16+DC)² = 24²+17.9²+ DC²

256+32DC+DC² =  24²+17.9²+ DC²

256+32DC = 24²+17.9²

32DC = 24²+17.9² - 256

32DC = 640.41

DC = \frac{640.41}{32}

DC = 20.01

Remember that AC = AD+DC

AC = 16+20.01

AC = 36.01

6 0
3 years ago
Thomas invests $50,000 in an account that compounds interest continuously and earns 15%. How long will it take for his money to
WARRIOR [948]

Answer:

It will take about 7.3 years for his money to triple.

Step-by-step explanation:

Identify the variables in the formula.

A = 150,000

P = 50,000

r = 0.15

t = ?

A = Pe^rt

Substitute the values into the formula.

150,000 = 50,000e^0.15*t

Solve for t. Divide each side by 50,000.

3 = e^0.15*t

Take the natural log of each side.

ln 3 = ln e^0.15*t

Use the power property and then simplify.  

ln 3 = 0.15*t ln e

ln 3 = 0.15-t

Divide each side by 0.15.

(ln 3) /(0.15) = t

Approximate the answer.

t ≈ 7.3

4 0
3 years ago
Read 2 more answers
What's the meaning of critical thinking.
Andreas93 [3]
Critical thinking<span> is </span>the<span> objective analysis </span>of<span> facts to form a judgment. </span>
6 0
3 years ago
If m∠PQR=(12x−2)∘, and mPR=(20x−10)∘, what is m∠PQR?<br>a. 137.5<br>b. 70<br>c. 16<br>d. 81
astraxan [27]

Answer:

Step-by-step explanation:

12x - 2 + 20x - 10 = 180

32x - 12 = 180

32x = 192

x = 6

12*6 - 2

72 - 2 = 70

the solution is b

3 0
3 years ago
How do I solve operations with absolute value [10-11]-[15]
saveliy_v [14]
[10-11] - [15]
=[21] -[15]
=  [6]

anything inside the absolute bracket would have to remain positive, anything outside wouldn't change 
6 0
3 years ago
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