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Dmitry [639]
3 years ago
10

What is the exact area of triangle with measures a=6 b=7 and cos C= 1/4

Mathematics
1 answer:
Julli [10]3 years ago
5 0

The area of the triangle is A= (1/2)absinγ

(sinγ)Λ2+(cosγ)Λ2=1 => sinγ=√1-(cosγ)∧2= √1- (1/4)∧2=√1-(1/16)=√(15/16)=√15/4

A=(1/2)*6*7*√15/4=21*√15/4=(21/4)√15

Good luck!!!

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Find two numbers whose sum is 29 and whose difference is 15
gizmo_the_mogwai [7]
The two numbers are 22 and 7.
22 + 7 = 29
22 - 7 = 15
here is how we can find these numbers;
let a and b are two numbers
a + b = 29
a - b = 15
a   = 15 + b
now put this value of a in any of the equation
a + b = 29
15 + b  + b = 29
15 + 2b = 29
2b = 29 - 15
2b = 14
b = 7
now put the value of b to find the value of a;
a = 15 + b = 15 + 7 = 22
a = 22
4 0
3 years ago
Claudia is reading a book that has 360 pages.She read some of the book last week.She plans to read 46 pages today.When she does,
Ne4ueva [31]

Answer:

242 pages.

Step-by-step explanation:

Let x represent number of pages that Claudia read last week.

We have been given that Claudia is reading a book that has 360 pages. She read some of the book last week. She plans to read 46 pages today. When she does,she will be 4/5 of the way through the book.

The number of total page left after reading 46 pages and x pages last week will be equal to 4/5 of 360.

We can represent this information in an equation as:

x+46=\frac{4}{5}\cdot 360

Let us solve for x.

x+46=4\cdot 72

x+46=288

x+46-46=288-46

x=242

Therefore, Claudia read 242 pages last week.

3 0
3 years ago
Find the greatest common factor of 12a^3c and 15ab^3
storchak [24]

The greatest common factor of 12 and 15 should be 3 since the only factors of 15 are 1,3,5,and 15 and 3 is the only factor that 15 shares with 12

7 0
4 years ago
How do you solve 1/3+1/4?
Otrada [13]

Answer:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(1/3×4/4)+(1/4×3/3)=?

Complete the multiplication and the equation becomes

4/12+3/12=?

The two fractions now have like denominators so you can add the numerators.

Then:

4+3

12= 7/12

This fraction cannot be reduced.

Therefore:

1/3+1/4=7/12

3 0
3 years ago
If a = 4 units, b = 7 units, and c = 12 units, what is the volume of the three prisms above?
tino4ka555 [31]

Answer:

336 units

Step-by-step explanation:

When finding volume of a cube or prism multiply the its length width and height together.

4 × 7 × 12 = 336

7 0
3 years ago
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