Area = 3150 ft²
Unknown Side = 45 ft²
First, you know two of the sides of the shape have a length of 70 ft. So you subtract 140 (which is 70 · 2) from 230 and get 90. 90 is the total length of the two unknown sides. In order to find one side you divided 90 by 2. Here is the work I did:
70 · 2 = 140
230 - 140 = 90
90 ÷ 2 = 45
45 is the length of the unknown side.
Now to find area:
Area = <span>length × width
Area = 45 x 70
Area = 3150 ft</span>²
Note that saying "ft squared" is very important because it lets the reader know that it is a 2D shape.
Answer:
see explanation
Step-by-step explanation:
When 2 chords intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
4x = 16 × 7 = 112 ( divide both sides by 4 )
x = 28
Thus
diameter = LK = 4 + 28 = 32 cm
Answer:
13 pieces
Step-by-step explanation:
First we convert 4m into cm :
1m = 100cm
4m = 400cm
Now we need to figure out how many 30s go into 400 :
400 ÷ 30 = 13 remainder 10
So 13 pieces can be cut from the ribbon
Hope this helped and have a good day
Answer:
y = x² + 38x + 311
Step-by-step explanation:
If a polynomial has rational coefficients and irrational roots, then the roots must be conjugate pairs.
y = (x − (-19-5√2)) (x − (-19+5√2))
y = (x + 19+5√2) (x + 19−5√2)
Use FOIL to distribute:
y = x² + x (19−5√2) + x (19+5√2) + (19+5√2)(19−5√2)
y = x² + 19x − 5√2 x + 19x + 5√2 x + (19+5√2)(19−5√2)
y = x² + 38x + (19+5√2)(19−5√2)
Use FOIL to distribute the last term:
y = x² + 38x + 19² − 95√2 + 95√2 − 50
y = x² + 38x + 361 − 50
y = x² + 38x + 311