Answer:
The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
leg 1 = (15 units) x (cos 19) = 14.18 units
leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units.
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
Answer:
1 upon 12 i think but not sure
The distance between their house and the school from the information given will be 777.60 meters.
<h3>How to calculate the distance?</h3>
The distance between their house and the school will be:
= 80 × 81 × 12
= 77760cm
= 777.60 meters.
When Diane takes 16 min to walk to school, the length of her steps will be:
= 77760/(16 × 90)
= 54 cm
Learn more about distance on:
brainly.com/question/17273444
(fg)(x)= x³ - 7x² - 9x + 8
domain is (-∞,∞)
Given: f(x)= x-8, g(x)= x² +1x - 1
To find (fg)(x) we multiply f(x) and g(x)
(fg)(x) = f(x) * g(x)
(fg)(x)= (x-8) (x²+x-1)
(fg)(x)= x³ + x² - x - 8x² - 8x +8
(fg)(x)= x³ - 7x² - 9x + 8
we know, domain for all cubic function is set of all real numbers
domain is (-∞,∞)
Know more about "functions" here: brainly.com/question/12431044
#SPJ4
