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Sliva [168]
3 years ago
7

Math Wiz help! (law of cosines)

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
A] Using  sine rule:
a/sin A=c/sin C
thus we can rewrite this as:
a/c=sin A/sinC
given that the ratio of a:c=2:√3+1 and C=60
thus
2/(√3+1)=sin A/sin 60
sin A=(2sin 60)/(√3+1)
sin A=0.63398
A=arcsin 0.63398~39.35°

b] <span>In triangle ABC, a = 3, b = 5, and c = 7. Find the measure of B.
the value of B will be found using cosine rule as follows:
</span>b²=a²+c²+2acCosB
thus
5²=3²+7²-2×3×7cos B
thus
25=9+49-42cos B
-33=-42cosB
cosB=0.7857
B=arccos 0.7857
B=38.21°
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Wayne's gym locker is a rectangular prism with a width and height of 12
Gnom [1K]

Answer:

Volume = (2890 and 5/8) inches^3

Step-by-step explanation:

Height = 12 and 1/2inches = 25/2

Width = 12 and 1/2inches = 25/2

Length = 6 inches > width = 6 + width

= 6 + (12 and 1/2) = 18 and 1/2

Length = 18 and 1/2 inches = 37/2

Volume of prism = length × breadth × height

Volume of rectangular prism = (25/2)×(25/2)×(37/2)

Volume of rectangular prism = (23125/8) inches^3

Volume of rectangular prism = (2890 and 5/8) inches^3

7 0
3 years ago
A
gavmur [86]

I don't know sorry I tried to work it but didn't work

8 0
2 years ago
Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).
OLga [1]
If you have double functions, solve the one in the parentheses first.

in f(g(2)), solve g(2) first.

So, substitute 2 in the function.

g(x) = x^2 - 6x - 7

g(2) = 2^2 - 6(2) - 7 = -15

If you substitute -15 in f(g(2)), it becomes f(-15).

f(x) = x + 8

f(-15) = -15 + 8

f(-15) = -7

The answer for f(g(2)) is -7.
3 0
3 years ago
I need the answer ASAP!!
Lorico [155]
O=orange
a=apple

equation 1
3o+a=$1.86
a=$1.86-3o

use a=$1.86-3o in equation 2

equation 2 
2o+3a=$2.15
2o+3($1.86-3o)=$2.15
2o+$5.58-9o=$2.15
$5.58-7o=$2.15
$5.58=$2.15+7o
$3.43=7o
$0.49=o

then use $0.49=o for equation 1.

equation 1

3($0.49)+a=$1.86
$1.47+a=$1.86
a=$0.39

so an apple is $0.39.

8 0
3 years ago
Which statement about 0 is true ?
Dmitry [639]

Answer:

❍ C. tan θ = 8 / 15

Step-by-step explanation:

Using trigonometry functions

sin θ = opposite side / hypotenuse

= 8 / 17

tan θ = opposite side / adjacent side

= 8 / 15

Hence, tan θ = 8 / 15 which is option C. is the correct statement.

6 0
3 years ago
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