Answer: 2/3, 1/2, 5/8,7/11
Step-by-step explanation: usually the smaller your denominator is the larger your fraction. You also have to look at the numerator and somewhat visualize what it would look like. Such as 2/3 is larger than 1/2 because 1/2 of 3 is 1.5 so since 2 is larger than 1.5 you can say 2/3 is larger
Hope this helps
Answer: 1.
Yes , the data franchise owner is collecting, will be helpful in order to counter the criticism from the critic. As he has a record for every delivery they are making on daily basis.
2.
The scenario is that for every fifth customer , the owner cross the four lines he makes. Thus a pack of five and easy to remember. As the data on regular week days is less, As can do the same for the third customer. Crossing the 2 lines for 3rd customer.
3.
With this provision of crossing the third customer, the owner can have a better check on the late delivery. As it will bring in his notice earlier as compared to fifth crossing.
4.
With the data as provided in the table, we can come to the conclusion that on weekends , i.e. both on time delivery and late deliveries are high in numbers. It must be because of high demand on that days. So owner must make some provision like hiring some more delivery boys for weekend in order to reduce the late deliveries.
Step-by-step explanation:
Answer:
94.18
Step-by-step explanation:
Given in the question a semi circle and a right angle triangle
Step 1
Find the diameter of the semi circle
To find the diameter we will use pythagorus theorem
<h3>hypotenuse² = height² + base²</h3>
here,
hypotenuse will be diameter of semicircle
height = 9
base = 4
Plug values in the formula above
diameter = √(9²+4²)
diameter = √97
Step 2
Find radius
<h3>radius = diameter / 2</h3>
Step 3
Area
<h3>π(r)²</h3>
π(√97/2)²
= 76.18
Step 4
Total surface area = area of circle + area of right angle triangle
= 76.18 + 1/2(9)(4)
= 94.18
The number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
<h3>How to determine the
number of solutions?</h3>
In order to determine the number of solutions, we would split the single equation to two different equations and then plot a graph, so as to reveal their solutions.
This ultimately implies that, the number of solutions is equal to the point of intersection between the lines of the equations plotted on a graph.
In conclusion, the number of solutions in each equation are as follows:
- 1 solution: 4^x = 2^{-x}
- 2 solution: 3/2x + 2 = 2^{x} + 1 and 3x + 1 = 2^{-x}.
- No solution: 4^x + 2 = 3^x - 1 and 2x - 5 = 3^{x} + 2.
Read more on number of solutions here: brainly.com/question/12558210
#SPJ1
Answer:
The angle of elevation of the sun is 33.7⁰
Step-by-step explanation:
let the height of the tree, T = 10 foot
length of the shadow created by the tree, B = 15 feet long
Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.
Let the remaining side, hypotenuse, L = ?
Apply Pythagoras theorem;
L ² = T² + B²
L ² = 10² + 15²
L ² = 325
L = √325
L = 18.03 ft
The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.
Let the angle of elevation = θ
tan θ = opp / adj
tan θ = 10 / 15
tan θ = 0.66667
θ = tan ⁻¹ (0.66667)
θ = 33.7⁰
Therefore, the angle of elevation of the sun is 33.7⁰
