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1 year ago

Simplify: (7ty) (31)

Mathematics

1 answer:

rosijanka [135]1 year ago

6 0

The answer to this question is option D, the last option!

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. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

$\cos A=\dfrac{49+196-64}{196}$

$\cos A=\dfrac{181}{196}$

Taking cos inverse on both sides.

$A=\cos^{-1}\dfrac{181}{196}$

$A=22.561328$

$A\approx 22.6$

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0

2 years ago

I need help<br> with this

qwelly [4]

Answer:

Step-by-step explanation:

x=√3, y= 3

3 0

3 years ago

Consider this system of equations. x + 2y = 5, –x + 3y = 6 The x- and y-intercepts of the first equation are found below. x-in

vichka [17]

Answer:

Part 1) The x-intercept is the point (-6,0)

Part 2) The y-intercept is the point (0,2)

Step-by-step explanation:

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

we have

$-x+3y=6$

Part 1) Find the x-intercept

For y=0

substitute the value of y in the linear equation and solve for x

$-x+3(0)=6$

$-x=6$

$x=-6$

The x-intercept is the point (-6,0)

Part 2) Find the y-intercept

For x=0

substitute the value of x in the linear equation and solve for y

$-(0)+3y=6$

$3y=6$

$y=2$

The y-intercept is the point (0,2)

7 0

2 years ago

Read 2 more answers

Please help Fast A parking lot contains motorcycles (2 Wheels) and cars (4 Wheels). There are 35 vehicles and 114 wheels. How ma

swat32

Answer: There will be 20 motorcycles and 26 cars

let me know if you want me to explain:)

Step-by-step explanation:

If you want to check multiply 26 by the amount of wheels on each car (4) to get 104 total car wheels, then multiply the 20 motorcycles by the wheels of each motorcycle (2) to get 40. Lastly add the 104 and 40 together to get 144 the total amount of wheels in the parking lot.

Hope this helps :)

3 0

2 years ago

Find the Volume for number 1 , 2 and 3

Usimov [2.4K]

For the first one I got :
V = 165/8
V = B*h
(B)11/2 * (h)15/4
= 165/8

Pls correct me if im wrong!! :)

3 0

2 years ago