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zhannawk [14.2K]
3 years ago
15

The three sides of ABC measure 16 meters, 24 meters, and 29 meters. Is ABC an acute, right, or obtuse triangle?

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0
By Pythagorean theorem it can be proved that
 ROOT (16 ^ 2 + 24 ^ 2) = 29
 Therefore the triangle ABC is a triangle rigt
 answer
 ABC is a right triangle
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What is the value of x?
jek_recluse [69]

Answer:

25

Step-by-step explanation:

8 0
3 years ago
The length of a rectangular plot of land is 10 yards more than its width if the area of the land is 600 yd.² find the dimensions
Andrews [41]

Answer:

The dimension of the plot is 30 yd by 20 yd

Step-by-step explanation:

Given;

Area = 600 yd^2

Length = width + 10

l = w + 10 ......1

Area of a rectangular plot is;

Area A = length × width

A = l × w

Substituting equation 1;

A = (w+10) × w

A = w^2 + 10w

600 = w^2 + 10w

w^2 +10w -600 = 0

Solving the quadratic equation;

w = -30 or 20

cannot be negative

w = 20 yd

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6 0
3 years ago
How do I write names for 0.550
mojhsa [17]

Answer:

  five hundred fifty thousandths

Step-by-step explanation:

Recognize the place value of the rightmost digit, and write the name of the number that ends in that place.

The third place to the right of the decimal point is the <em>thousandths</em> place. The number between that and the decimal point is 550, <em>five hundred fifty</em>.

  five hundred fifty thousandths

3 0
3 years ago
Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o
Leya [2.2K]

Answer:

  (a) 120 square units (underestimate)

  (b) 248 square units

Step-by-step explanation:

<u>(a) left sum</u>

See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.

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<u>(b) right sum</u>

The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...

  right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units

3 0
3 years ago
Let f(x)=x^2+2x+3 . What is the average rate of change for the quadratic function from x=−2 to x = 5?
miskamm [114]
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Find f(b)-f(a), b-a, and then divide your result for f(b)-f(a) by your result for b-a:


f(b) - f(a)
------------
    b-a

Here your function is f(x) = x^2 - 2x + 3.  Substituting b=5 and a=-2,
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Calculate           f(5) - [ f(-2) ]
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Your answer to this, if done correctly, is the "average rate of change of the function f(x) = x^2+2x+3 on the interval [-2,5]."
5 0
3 years ago
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