Given:
The angle of H=90°, HF=91 feet, and GH = 50 feet.
The objective is to find the measure of angle<em> F.</em>
In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.
The trigonometry formula which relates with the opposite and adjacent side is,
Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.
Hence, the value of angle <em>F</em> is 29 degree.
9514 1404 393
Answer:
distributive property
Step-by-step explanation:
The <em>distributive property</em> of multiplication over addition lets you expand the product in the manner shown.
Answer:
x=1, y=7
Step-by-step explanation:
y = -3x + 10 - first equation
y=-3x + 4 - second equation
rearrange the expression to
-3x-y= -10
3x-y= -4
pick an equation and simplify; lets pick the second equation
3x-y= -4
divide 3 by both sides
x= 
- third equation
substitute the value of x into an equation; lets pick the first equation
-3x-y= -10
-3
- y = -10
simplify. -3 cancels 3 so we are left with
-1(-4+y)-y = -10
simplify
4-y-y= -10
4-2y= -10
subtract 4 from both sides
-2y= -10-4
-2y= -14
divide -2 by both sides
y=7
substitute the value of y, (y=7) in an equation, we are using the second equation
3x-y= -4
3x-7= -4
3x = -4+7
3x= 3
divide 3 by both sides
x=1
so the answer is x=1, y=7
Answer:
4
Step-by-step explanation:
In base 5 the place values (from right to left) are the ones place, the 5's place and the 25's place. The highest digit you can write in any column is a 4.
333 would be (3 x 25) + (3 x 5) + (3 x 1) which is 93 in base 10.
30 would be (3x5) + (0 x 1) which is 15 in base 10.
The sum of 93 and 15 is 108 in base 10.
Now lets write that in base 5 - We can have 4 25's so there will be a 4 in the 25's column. Since 4 x 25 = 100 we still have to account for 8 to get to 108.
We can have 1 five in the 5's columns since 1 x 5 is 5. Now we have 3 left over which we can place in the one's column
Final answer 333₅ + 30₅ = 413₅
