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2 years ago

What is the value of r in the equation? Negative 1. 5 (4 minus r) = negative 12 –6 –4 4 6.

Mathematics

1 answer:

Debora [2.8K]2 years ago

5 0

Answer:

-458

Step-by-step explanation:

-1.5(4 - r) = -12 - 6 -446

-6 + r = -464

r = -458

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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

What is the measure of DE?

tatuchka [14]

Answer:

Step-by-step explanation:

Alright, lets get started.

The two chords are intersection each other at point B.

$DBE=ABC$

Both are opposite angles that is 39 degrees.

Angle ABC forms the arc AC which is given 41 degree.

The arc DE will be same length as arc AC because angle ABC and angle DBE are same that is 39 degrees.

So, arc DE = 41

So, the answer is DE = 41 degrees .... Answer : option D

Hope it will help :)

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3 years ago

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The table shows the price of apples in the local market. What is the cost of 12 pounds of apples? Apples (pounds) Price (dollars

MAXImum [283]

Lbs : 4, 8, 12, 16
cost : 6, 12, ?, 24

12 lbs would cost u $ 18 because the apples cost (6/4) = 1.50 per lb

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3 years ago

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How much is 5ml? How many teaspoons equals 5mls?

Makovka662 [10]

5ml is 0.00132086 and 1.01442 teaspoons equals to 5mls

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3 years ago

50% more than what number is 20% less than 60% more than 10?

k0ka [10]

Answer:

Step-by-step explanation:

Let's start by decoding this :)

First lets do 60% more than 10; 16 (mental math)

Next, lets do 20% less than 16; x/16 = 80/100 (Equation)

After solving by cross multiplying & then simplifying (make sure both denominators are 100), you should get 12.8 as your final #! Hope this helped.

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2 years ago