Answer:
13. 5 minutes
Step-by-step explanation:
This is a simple proportion problem. Make two fractions where one item is always on the top and the other on the bottom.
Now, cross multiply (multiply the two numbers diagonal from each other and divide the diagonal with the x value)
576 x 3 = 1, 728
1, 728 / 128 = 13.5
9514 1404 393
Answer:
2√5
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
The longest side (x) is 2 times the length of the shortest side (√5), so ...
x = 2√5
Answer:
$342
Step-by-step explanation:
Complete question
Find the simple interest on $1900 at 9% for 2 years.
Simple interest PRT/100
Given
Principal P = 1900
Rate R = 9%
Time T = 2years
Substitute
Simple interest = 1900*9*2/100
Simple interest = 19*18
Simple interest = $342
Hence the simple interest on $1900 at 9% for 2 years is $342
Answer:
the cost of running the boarding
house for 600 students is N61,000
Step-by-step explanation:
Let C represents cost
K1 represents first constant
K2 represents second constant
C= k1+k2n
3500 = k1 + 25 k2............. Eqn(1)
6000= k1 + 50 k2 .............. Eqn(2)
Subtract eqn(1) from eqn(2)
2500= 25k2
K2= 2500/25
K2= 100
To get k1 from eqn(1)
3500 = k1 + 25 k2
Substitute the value of k2
3500 = k1 + 25 (100)
3500= k1 +2500
K1= 3500- 2500
K1= 1000
The equation connecting them;
C= 1000+ 100n
The cost of running the boarding
house for 600 students is
n= 600
C= 1000+ 100(600)
C= 1000+60000
C= N 61,0000
Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees
<h3>How to Apply the Linear Angles Theorem?</h3>
Based on the linear angles theorem, we have the following equation which we will use to find the value of y:
3y + 11 + 10y = 180
Add like terms
13y + 11 = 180
Subtract 11 from both sides
13y + 11 - 11 = 180 - 11
13y = 169
13y/13 = 169/13
y = 13
Plug in the value of y
3y + 11 = 3(13) + 11 = 50 degrees
10y = 10(13) = 130 degrees.
Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees.
Learn more about the linear angles theorem on:
brainly.com/question/5598970
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