Answer:
150
Step-by-step explanation:
As the ratio is 5:3 ,
Number of boys / number of girls = 5 / 3
250 / number of girls = 5 / 3
Number of girls = 250 × 3/5
Number of girls = 150
A tree harvester estimates the trunk of a tree to have a height of about 34 meters and a base diameter of about 0.52 meters. The wood of the tree has a density of about 770 kilograms per cubic meter. Find the mass of the trunk. Round your answer to the nearest hundred.
Answer: 5,559.89 kilograms
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Mass = π/4 (diameter) ^2 (height) (density)
Replacing with the values given and solving for M (mass)
M = π/4 (0.52) ^2 (34) (770) = 5,559.89 kg.
The mass of the trunk is 5,559.89 kilograms
Feel free to ask for more if needed or if you did not understand something.
PLEASE HELP!!!!!
Parking for 4 hours costs $10. Parking for 5 hours costs $12. Is this a proportional relationship, and if so, what is the constant of proportionality?
Answer:
Not a Proportional Relationship ; No Constant of Proportionality
Step-by-step explanation:
Consider the first example, 4 hours of parking costs $ 10. From this we can derive the ratio 4 : 10, so that hours parked : fee for parking is a common ratio among the two examples, the other being 5 : 12;
[tex]4 : 10, Simplify\\2 : 5, Take As Fraction,\\Solution; 2 / 5ths\\[/tex]
[tex]5 : 12, Simplify\\( Can't Be Simplified Further ) - Take as Fraction,\\Solution; 5 / 12ths[/tex]
Considering that the fractions when compared are not similar, ( 2 / 5, and 5 / 12 ) they don't have a proportional relationship, and thus have no constant of proportionality
Solution; Not a Proportional Relationship
Which equation represents the data in this function table?
OA) y = x + 2
OB) x = y + 2
OC) y = 2x
OD) x = 2y
Answer:
c
Step-by-step explanation:
its not too complicated, look
to get from 2 to 5 u gotta multiply by 2
so C is saying that Y equals 2 times X which would be: 4 equals 2 times 2
Or 12 equals 2 times 6
Answer:
C
Step-by-step explanation:
Rise over run is [tex]\frac{12-4}{6-2} = \frac{8}{4}=2[/tex]
so y=2x
What is the value of x in the diagram?
Answer:
5
Step-by-step explanation:
Given is a right angled triangle.
Therefore, by Pythagoras theorem:
[tex] {(2x + 3)}^{2} = {x}^{2} + {(2x + 2)}^{2} \\ 4 {x}^{2} + 9 + 12x = {x}^{2} + 4 {x}^{2} + 4 + 8x \\ 9 + 12x = {x}^{2} + 4 + 8x \\ {x}^{2} + 4 + 8x - 12x - 9 = 0 \\ {x}^{2} - 4x - 5 = 0 \\ ({x}^{2} - 4x + 4 )- 4 - 5 = 0 \\ {(x - 2)}^{2} - 9 = 0 \\ {( x - 2)}^{2} = 9 \\ x - 2 = \pm \: \sqrt{9} \\ x - 2 = \pm 3 \\ x = 2 \pm 3 \\ x = 2 + 3 \: \: or \: \: x = 2 - 3 \\ x = 5 \: \: or \: \: x = - 1 \\ \because \: x \: can \: not \: be \: negative \\ \therefore \: x \neq \: - 1 \\ \therefore \: x = 5[/tex]
If the sum of the measure of two angles in a triangle is 101, then the measure
of the third angle must be
Answer:
79 degrees.
Step-by-step explanation:
It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.
There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.
All you have to do is 180 - 101, which equals 79 degrees.
Hope this helped : )
I need help with this math problem.
Answer:
(45,60)
Step-by-step explanation:
in a parallelogram, opposite angles are equal measure
2x-10 = y + 20
angles that lie on the same line add up to 180, since alternate angles of parallel lines and a transversal are equivalent
2x + 10 + 2x - 10 = 180
solving the equation with only Xs
4x = 180
x = 180/4 = 45
plug x = 45 into x and y equation
90-10 = y+ 20
80 = y + 20
y = 80-20 = 60
