Presently ratio is at 10:18 = 1.25
With 5 more girls & guys joining, ratio would change to 15:13 = 1.153846154
Therefore, the ratio of girls to boys would change rather not remain the same.
Answer:
After the extended period of time, Pete would have typed 6400 words.
Step-by-step explanation:
Given the data in the question;
In the same time;
number typed word of Pete = 80
type word of Ralph = 50
After a period time;
number of typed word of Pete = ?
number of typed word of Ralph = 4000
so, let x represent the number of typed word by Pete after an extended period.
so
80 words = 50 words
x words = 4000 words
we cross multiply
x × 50 = 4000 × 80
x = ( 4000 × 80 ) / 50
x = 320000 / 80
x = 6400
Therefore, After the extended period of time, Pete would have typed 6400 words.
Answer:
The scale factor is not 2
Step-by-step explanation:
Given
See attachment for the dilated triangles
Triangle ABC is dilated through center point O to form triangle A'B'C'.
From the attachment, we have:
i.e. the distance from the center point to C
and
i.e. the distance from the center point to C'
The length of OC' is calculated using:



The scale factor (k) is then calculated by dividing OC' by OC



Hence, Tiffany's claim is incorrect.
Answer:
22.88 cm^3
Step-by-step explanation:
The volume of a sphere formula is (4/3)*pi * (radius)^3
Since the diameter is 5.08cm, we divide by 2 to find the radius which is 2.54 cm.
Also because of the fact that 2/3 is showing outside the cone, that means 1/3 is inside the cone. Therefore, we have to multiply the volume by 1/3.
We have:
Volume = (4/3) * pi * (2.54)^3 * (1/3)
= 22.88 cm^3
Answer:
the third one has a 2 acute angles 2 abuse angles and the x value is 110
Step-by-step explanation
the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle