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andre [41]
3 years ago
5

Two angles form a straight angle. One angle measures 89'. What is the measure of the other angle

Mathematics
2 answers:
bixtya [17]3 years ago
5 0
Those\ two\ angles\ measure\ 180^{\circ}\\\\
x-\ angle\\\\
x+89=180\ \ \ \ | subtract\ 89\\\\
x=91^{\circ}\\\\ Other\ angle\ measures \ 91^{\circ}.
OleMash [197]3 years ago
3 0
 A "straight angle" is a straight line.
 The angle of a straight line is 180 degrees. 
 The value of 2 angles add together to make 180
 One of the angles = 89 degrees
 The value of the second angle = 180-89 = 91
 
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A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye
Svetlanka [38]

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

6 0
3 years ago
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
BRAINLIESTI HAVE 10 MINS
VladimirAG [237]
Correction -125* I think
7 0
3 years ago
Can someone please help me I don’t know how to do this please
Klio2033 [76]

Answer:

2. 1/16

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3 0
2 years ago
An angle measures 64 degrees more than the measure of its complementary angle. What is the measure of each angle?
fiasKO [112]

Answer:

13 and 77 degrees

Step-by-step explanation:

Complementary = 90 degrees

Set an angle to x

x+(x+64)=90

2x+64=90

2x=26

x=13

angle measures: 13, 77 degrees

7 0
3 years ago
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