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aivan3 [116]
2 years ago
15

(x-5)^3 expand each binomial

Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

Answer:

x^{3} -15x^{2} + 75x-125

Step-by-step explanation:

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Can someone please explain to me how to get this answer?
SIZIF [17.4K]
Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

-------------------------------------------------------------
-------------------------------------------------------------

Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

-----------------------

First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

-----------------------

We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

-----------------------

Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth

4 0
3 years ago
Read 2 more answers
Evaluate s(t)=∫t−[infinity]||r′(u)||du for the bernoulli spiral r(t)=⟨etcos(8t),etsin(8t)⟩. It is convenient to take −[infinity]
sveta [45]

\vec r(t)=\langle e^t\cos8t,e^t\sin8t\rangle

\|\vec r'(t)\|=\sqrt{(e^t(\cos8t-8\sin8t))^2+(e^t(\sin8t+8\cos8t))^2}=e^t\sqrt{(\cos8t-8\sin8t)^2+(\sin8t+8\cos8t)^2}

\implies\|\vec r'(t)\|=e^t\sqrt{65}

Then

s(t)=\displaystyle\sqrt{65}\int_{-\infty}^te^u\,\mathrm du=\sqrt{65}e^t

3 0
3 years ago
)) In a right triangle, a and b are the lengths of the legs and c is the length of the
kondor19780726 [428]

Answer:

5.66 inches

Step-by-step explanation:

{a}^{2}  +  {b }^{2}   =   {c}^{2}

a² + 7² = 9²

a² + 49 = 81

a² + 49 - 49 = 81 - 49

a² = 32

a = square root of 32

a = 5.6568 or 5.66 inches

I used the Pythagorean Theorem to solve this.

7 0
3 years ago
Read 2 more answers
Cathy earns $32 after babysitting for 5 hours. How much money does she earn per hour?
telo118 [61]
The answer would be $6.40
4 0
3 years ago
Read 2 more answers
Figure 2 is a scaled copy of Figure 1. Identify the point in Figure 2 that corresponds to point K in Figure 1.
ki77a [65]

Answer:

k

Step-by-step explanation:

5 0
3 years ago
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