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arlik [135]
3 years ago
11

Synthetic division!! Please help!!! Fast!!

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0
See that remainder in the lower, right hand corner of this array?  It's 2.  That is the value of f(-2).
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The angle of elevation from a buoy in the water to the top of a lighthouse is 68degrees. If a buoy is 300 ft from the base of th
Katen [24]

Answer:

The height of the lighthouse is 742.5\ ft

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

so

tan(68\°)=\frac{h}{300}

Solve for h

h=(300)tan(68\°)=742.5\ ft

7 0
3 years ago
Trapezia ABCD and PQRS are similar.<br> Find the area shaded in green.
avanturin [10]

The area shaded in green is 864 cm²

<h3>Similar figures</h3>

Similar figures, corresponding angles are congruent and the sides are ratio of each other. Therefore,

AB / PQ = CD / RS

30 / 10 = 24 / RS

30RS = 240

RS = 240 / 30

RS = 8 cm

let find the height of trapezium PQRS.

AB / PQ  = 36 / h

30 / 10 = 36 / h

30h = 360

h = 360 / 30

h = 12 cm

Therefore,

area of the green portion = area of ABCD - area of PQRS

<h3>Area of a trapezium</h3>
  • area = 1 / 2(a + b)h

Therefore,

area of ABCD = 1 / 2(24 + 30)36 =  1 / 2 (54)36 = 1944 / 2 = 972 cm²

area of PQRS = 1 / 2(10 + 8)12 = 1 / 2(18)12 = 216 / 2 = 108 cm²

Area of the green portion = 972 - 108 = 864 cm²

learn more on trapezium here: brainly.com/question/11961445

6 0
2 years ago
-.25 x+1.3=-.55x-.2 find x
Mamont248 [21]
You need to isolate the variable my dividing each side by factors that don’t contain the variable
x=-5
3 0
3 years ago
PLEASE PLEEAASE HELP!! You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the ans
Rasek [7]
<span>The number of ways to permute three correct answers among five questions is 5Choose3 which is 5!/(3!*2!) which equals 10. We must then have the correct answer three times which happens .25 of the time, and two wrong answers 75 of the time. So the probability is 10*0.25^3*.75^2 which is 0.087890625 or roughly an 8.8% chance.</span>
5 0
3 years ago
Line segments that have the same length are called similar segments. True or false?
guajiro [1.7K]

The statement that line segments that have the same length are called similar segments is false

<h3>How to determine the true statement?</h3>

The statement is given as:

Line segments that have the same length are called similar segments.

As a general rule:

Line segments that have the same length are similar segments.

However, line segments that have the same length are not called similar segments

Instead, line segments that have the same length are called congruent lines

This means that the the statement that line segments that have the same length are called similar segments is false

Hence, the statement that line segments that have the same length are called similar segments is false

Read more about congruent lines at:

brainly.com/question/3168048

#SPJ1

3 0
2 years ago
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