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atroni [7]
3 years ago
13

Based on the triangles, which statement is true?

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

The sum of interior angles of a triangle is 180°, and a linear pair is supplementary (adds to 180°). The appropriate choice is

... G. w = 105°, because ...

_____

In short, an exterior angle is equal to the sum of the opposite interior angles.

... w = 180 - (180 - (45 + 60)) = 180 -180 +45 +60

... w = 45 +60

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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is
lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

P= 2l+3.14 (w/2)+w

Or P = 2l+2.57w\\l = \frac{P-2.57w}{2}

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

A=lw +\pi \frac{w^2}{8}

A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57

Hence we get maximum area when i derivative is 0

i.e. P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P

l = \frac{P-2.57w}{2}\\l = 0.1401P

Dimensions can be

l=0.1401P\\w =0.2801P

5 0
3 years ago
6-5 solving rational equations 8/x+3=1/x+1
AfilCa [17]

Answer:

x = -5/7

Step-by-step explanation:

8/(x+3)=1/(x+1)

Using cross products

8*(x+1) = 1*(x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x+3-x

7x +8 =3

Subtract 8 from each side

7x+8-8 = 3-8

7x = -5

Divide by 7

7x/7 = -5/7

x = -5/7

7 0
3 years ago
Identify an equation in slope intercept form for the LINE parrelel to y=5x+2 that passes through - 6,-1
nlexa [21]

Answer:

y = 5x-1

Step-by-step explanation:

parallel lines have the same slope.

y intercept: -1

slope: 5

- 1 is the same as +-1

so, y = 5x-1

7 0
3 years ago
The​ _____ _____, denoted ModifyingAbove p with caretp​, is given by the formula ModifyingAbove p with caretpequals=​_____, wher
Vlada [557]

Answer:

The​ <u>sample proportion</u>, denoted by  ^p​, is given by the formula ^p=​ \frac{x}{n}, where x is the number of individuals with a specified characteristic in a sample of n individuals.

Step-by-step explanation:

Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.

<em>sample mean</em> can be stated as p and <em>sample standard error</em> can be found using the equation\sqrt{\frac{p*(1-p)}{n} } where

  • n is the sample size
  • p is the sample proportion

And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.

3 0
3 years ago
 Jessica is planting a garden. It has the shape of a right triangle. She wants 4 plants for each square foot of area. How many p
BigorU [14]

Answer:

21 plants are in the garden

Step-by-step explanation:

here , base = 7 m

height = 24 m

Thus , The area of the triangle (garden ) is 84 m ²

he wants 4 plants for each square meter of area.

therefore , for 84 m ² number of plants are

i.e 21 plants

hence , 21 plants are in the garden

8 0
3 years ago
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