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miss Akunina [59]
3 years ago
11

In a triangle ABC, AB = 7, AC = 8, BC = 3, what is cos(A)?

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
Use the cosine rule.
c=AB=7
b=AC=8
a=BC=3
a^2=b^2+c^2-2bc(cos(A)) 
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
=(7^2+8^2-3^2)/(2*7*8)
=13/14
=0.9286
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The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. What is the rate of change for thi
IgorC [24]

Answer:

I think that it is y=15x+35

Step-by-step explanation:

15*x is how many hours and you have to pay $35 regardless to rent the boat

4 0
3 years ago
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer a
soldi70 [24.7K]

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

6 0
3 years ago
I need help with both questions...
NikAS [45]

Answer:

17. a)

Step-by-step explanation:

17.

f(x) =x/2, then f(x-3)=(x-3)/2

x=3, f(x-3)=f(3-3)=f(0)=0 (values in table)

f(x-3)+3=0+3=3

18.

f(x) =x/2

f(x-2) for x=5 is f(5-2)=f(3)=3/2

f(x-2)+5=f(3)+5=3/2+5=3/2+10/2=13/2

3 0
3 years ago
Read 2 more answers
Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches
Sergio039 [100]

Answer:

y = \frac{x}{36}

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * x

y = \frac{x}{36}

Hence, the equivalent in yards is \frac{x}{36}

3 0
3 years ago
A. what's 7 X 8?<br> B. what's 9 X 8?<br> C. what's 8 X 8?
Liula [17]

Answer:

a. 56

b. 72

c. 64

Step-by-step explanation:

5 0
3 years ago
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