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vredina [299]
3 years ago
10

Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.

Step-by-step explanation:

The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.

Thank you for reading this and I hope it is helpful to you.

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Please help me on this one!
MatroZZZ [7]
On which one? You did not provide anything for me to help you with.
4 0
3 years ago
Divide 20 chocolates between Adi and Suresh such that adi gets 60% while Suresh gets 40% of the chocolates
Eddi Din [679]

Hello!

To find how much chocolate Adi and Suresh receives, you need to convert the percentage to a decimal, then you multiply that decimal by the total number of chocolates, which is 20.

To convert percentages to decimals, divide the percentage by 100, and remove the percentage.

60% / 100 = 0.60

20% / 100 = 0.20

Then, we multiply 0.60 and 0.20 by 20.

0.60 x 20 = 12

0.40 x 20 = 8

Therefore, Adi gets 12 chocolates and Suresh gets 8 chocolates.

6 0
3 years ago
When they say solve the product in the lowest terms what do they mean?
m_a_m_a [10]

when people say " in lowest terms" they usually mean like the simplified version of an answer

an example of this would be like

make \frac{2}{4} into lowest terms

the answer would be \frac{1}{2}

if you dont understand comment on this and ill try to break it down more

8 0
3 years ago
Alessia uses her bank card to buy lunch 3 times. Each time she buys lunch, it costs $12.50. She then deposits $30 in her bank ac
igomit [66]

Answer: She has a $-7.50 balance

Step-by-step explanation: A = 3*12.5

                                             A= 37.5

                                             37.5-30= -7.5

6 0
3 years ago
Read 2 more answers
What is the diameter and circumference of 6.7
irinina [24]

3.572

Area of a circle in terms of radius:

Area = π · r2 = 3.14 · 1.072 = 3.57 square meters.

In terms of diameter:

Area = π · (d

2

)2 = 3.14 · (2.13

2

)2 = 3.14 · (1.07)2 = 3.57 square meters.

In terms of circumference:

Area = C2

4π

= 6.72

4π

= 44.89

(4 · 3.14)

= 44.89

12.56

= 3.57 square meters.

Note: for simplicity, some results may be rounded to nearest hundredth and π was rounded to 3.14. See formula details below in this page.

A circle of radius = 1.066 or diameter = 2.133 or circunference = 6.7 meters has an area of 3.572 square meters which is equal to:

3.572E-6 square kilometers (km²)

35720 square centimeters (cm²)

0.0008827 acres (ac)

0.0003572 hectares (ha)

1.379E-6 square miles (mi²)

4.272 square yards (yd²)

38.45 square feet (ft²)

5537 square inches (in²)

Formulae:

Circle area formula

8 0
3 years ago
Read 2 more answers
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