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2 years ago

Classify the triangle by its sides and angles

Mathematics

1 answer:

Norma-Jean [14]2 years ago

7 0

Based on the definition of a scalene acute triangle, the given triangle can be classified, based on its sides and angles, as: D. Scalene acute.

<h3>What is a Scalene Acute Triangle?</h3>

The following are properties of a scalene acute triangle:
All angles are less than angle 90 degrees.
All angles have different measures.
All the sides of a scalene acute triangle are of different lengths.

Thus, based on the definition of a scalene acute triangle, the given triangle can be classified, based on its sides and angles, as: D. Scalene acute.

Learn more about scalene acute triangle on:

brainly.com/question/524568

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Colin borrowed some money at 7.16%/a compounded quarterly. Three years later, he paid $5000 toward the principal and the interes

attashe74 [19]

Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.

<h3>How do we calculate the original amount using PV formula?</h3>

To solve this question, the following present value (PV) formula will be used:

PVn = Pn / (1 + r)^n ........................... (1)

Where:

PVn = Present value of an amount paid in year n

P = Amount paid in year n

r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179

n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4

Using equation (1), we can therefore proceed as follows:

PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18

PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45

PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04

Therefore, we have:

Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67

Learn more about borrowing here: brainly.com/question/4239348.

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6 0

2 years ago

A person is chosen at random from a room that contains 2for men and 26 women. What is the probability that a woman is chosen?

Sergeeva-Olga [200]

i think the answer is A

8 0

4 years ago

5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?

Andrews [41]

Let P be the cost of pucks, S the cost of sticks.

1.5p+3s=23

2.5p+s=20

subtract eqn 2 from 1,we get

5p+3s-5p-s=23-20

2s=3

s=3/2=1.50

Then from eqn 2,

5p+3/2=20

5p=40/2-3/2

p=37/10=3.70

Therefore,pucks cost $3.70 and sticks cost $1.50

7 0

2 years ago

T= 1,-1 u= 2, -4

Monica [59]

Answer: 3.16 units (Option C)

Step-by-step explanation:

The key to this problem is to use the distance formula, which is:

Distance = $\sqrt{(x₁-x₂)²+(y₁-y₂)²}$

The first point, T = (x₁,y₁), and the second point, U = (x₂,y₂).

Plugging the two points into the equation, we get:

Distance = $\sqrt{(1-2)^{2}+(-1-(-4))^{2} }$

The values within the parenthesis are subtracted:

Distance = $\sqrt{(-1)^{2}+3^{2} }$

The values are then squared:

Distance = $\sqrt{1+9}$

Finally, they are added together:

Distance = $\sqrt{10}$

$\sqrt{10}$ can be approximated as 3.16, so the distance between the two points is 3.16 units.

7 0

3 years ago

48 is 60% of what number? A. 80 B. 28.8 C. 8 D. 0.8

Nitella [24]

48 is 60% of 80

Convert your percentage into a decimal:
$\frac{60}{100} =0.6$

Divide 48 by the decimal:
$48 \div 0.6 = 80$

7 0

3 years ago