All categories

3 years ago

Can someone help me PLS

Mathematics

2 answers:

jolli1 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

2^2=1.75^2+3^2-2*3*1.75cos x

4=3.0625+9-10.5 cosx

10.5cos x=9-4+3.0625

10.5cosx=8.0625

cos x= 8.0625/10.5≈0.77

x≈40 degrees

Reptile [31]3 years ago

5 0

Answer: D) 40 degrees

<u>Step-by-step explanation:</u>

Let A = θ

then a = 2 b = 3 c = 1.75

Use the Law of Cosines:

a² = b² + c² - 2bc · cos A

2² = 3² + 1.75² - 2(3)(1.75) · cos θ

4 = 9 + 3.0625 - 10.5 cos θ

4 = 12.0625 - 10.5 cos θ

-8.0625 = -10.5 cos θ

$\dfrac{-8.0625}{-10.5}=\cos \theta\\\\\\\cos^{-1}\bigg(\dfrac{-8.0625}{-10.5}\bigg)=\theta\\\\\\\large\boxed{39.838=\theta}$

You might be interested in

The coordinates of rectangle ABCD are A(1, 2), B(4, 5),C(9, 0) and D(6, -3). What is the area of the rectangle?

puteri [66]

the answer is 30 Square Units.

5 0

3 years ago

Read 2 more answers

Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.

____ [38]

Let $z=-\sqrt3+i$ . Then

$|z|=\sqrt{(-\sqrt3)^2+1^2}=2$

$z$ lies in the second quadrant, so

$\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6$

So we have

$z=2e^{i5\pi/6}$

and the fourth roots of $z$ are

$2^{1/4}e^{i(5\pi/6+k\pi)/4}$

where $k\in\{0,1,2,3\}$ . In particular, they are

$2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}$

$2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}$

$2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}$

$2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}$

7 0

3 years ago

How to find the discounted price example $25.00 is the original price and the discount is 15%

Alexandra [31]

Since the price is now 15% less you would first find what 15% of 25 is by using 25*.15 and get 3.25 then you subtract that from 25 and get 25-3.25= $21.75

3 0

3 years ago

Write the equation of the line that passes through the point (2,-9)<br> and has a slope of -5.

balu736 [363]

Step-by-step explanation:

Find equation

y - y1 = m(x - x1)

y + 9 = -5(x - 2)

y = -5x + 10 - 9

y = -5x + 1 → Equaton

7 0

2 years ago

Alexander is ridiang his bime to school, after one mile, he is a third of the way there. how much farther does he have to ride?

lisov135 [29]

He has to ride 2 more miles

6 0

3 years ago