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cricket20 [7]
3 years ago
7

The measure,in degrees,of the three angles of a triangle are given by 2x + 1,3x - 3, and 9x.Whar is the measure of the smallest

angle
Mathematics
1 answer:
blagie [28]3 years ago
8 0
(2x+1)+(3x-3)+9x = 180

14x-2 = 180

14x = 182

x = 13


Plugging back in, your angles are 27 degrees, 36 degrees, and 117 degrees, respectively.  So the 2x+1 angle is the smallest.
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2) In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%. I) Find the weight of the wastage. II
LiRa [457]

Answer:

Weight of wastage=179.775kg

weight of rice cultivated= 585.225 kg

percentage of rice cultivated=76.5%

Step-by-step explanation:

Area of land=100 square meters

Cultivated rice=765kg

Wastage=23.5%

1) Weight of the wastage=23.5% of 765kg

=23.5/100 × 765

=17977.5 / 100

=179.775 kg

2) Weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg

= 585.225 kg

percentage of rice cultivated = 100 - 23.5

= 76.5%

3) if area is increased 40 times in size

New area=1000 square meters × 40

=40,000 square meters

Cultivated rice= 765kg × 40

=30,600 kg

Cultivated rice excluding wastage=585.225 kg × 40

=23,409 kg

8 0
3 years ago
6. You spent $1,400 on new furniture. The local furniture store allows you to make a down
Shtirlitz [24]

Answer:

Step-by-step explation: 1500-500=900 900/3=300 so 300 is your answer

7 0
3 years ago
Read 2 more answers
Find the distance between the lines<br> Y=3x+10<br> Y=3x-20<br> AND <br> Y=3/2x+3/2<br> Y=3/2x-5
rosijanka [135]
At first we need to know how to find the distance between two parallel lines
The parallel lines which have the same slope 
If we have two parallel lines ⇒ y₁ = mx + c₁   and    y₂ = mx + c₂
So, the distance between y₁ and y₂ = d = \frac{|c_{1} - c_{2}|}{\sqrt{1 + m^{2}}}
========================================================

Part (1):
=======

<span>The distance between the lines
</span>
<span> Y₁ = 3x + 10    and       Y₂ = 3x - 20</span>
∴ m = 3  , c₁ = 10  and  c₂ = -20
∴ d = \frac{| 10 - (-20)|}{\sqrt{1 + 3^{2}}}= \framebox{9.5}

========================================================

Part (2):
=======

<span>The distance between the lines
</span>
Y₁ = <span>3/2 x + 3/2</span>    and       Y₂ = <span>3/2 x - 5</span>
∴ m = 3/2 = 1.5  , c₁ = 3/2 = 1.5   and  c₂ = -5
∴ d = \frac{| 1.5- (-5)|}{\sqrt{1 + 1.5^{2}}}= \framebox{3.6}

6 0
2 years ago
The expression 36a+16b factored using the gcf is
Rzqust [24]
36a+16b. The greatest common factor is 4
= 4(9a+4b)
7 0
3 years ago
Read 2 more answers
How to calculate percentile.
Law Incorporation [45]

Answer:

Step-by-step explanation:

Percentile Formula  

P = (n/N) × 100

Where,  

n = ordinal rank of the given value or value below the number

N = number of values in the data set  

P = percentile  

Or  

Percentile = (Number of Values Below “x” / Total Number of Values) × 100

4 0
2 years ago
Read 2 more answers
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