Answer:
3/4 = 15/20 and 7/10 = 14/20
Step-by-step explanation:
the least common denominator for these fractions is 20 so multiply 7/10 by two and 3/4 by 5 so that they both get denominators of 20
So slope intercpet form
y=mx+b
m=slope
b=y intercpet
slope=5/3
in (x,y) form
x=3
y=5 is one point
subsitute and solve for b
y=mx+b
5=5/3 times 3+b
5=3/3 times 5+b
5=1 times 5+b
5=5+b
subtract 5 from both sides
0=b
equation is
y=5/3x+0 or
y=5/3x
The length of EC will be 7.5 cm
Given DE || BC AD = 4cm, DB = 6cm, AE = 5cm
According to basic proportionality theorem- IF A LINE IS DRAWN PARALLEL TO ONE SIDE OF THE TRIANGLE INTERSECTING THE OTHER TWO SIDES, THEN IT DIVIDES IN THE SAME RATIO.
So,
In triangle ABC, DE || BC in the figure given below:
AD/AB = AE/AC……(1)
Now AB can be written as AD+DB similarly AC= AE+EC……(2)
Applying (2) in (1)
AD/AD+DB = AE/AE+EC……(3)
Applying values of AD,DB and AE from the question in equation (3)
4/(4+6) = 5/(5+EC)
4/10 = 5/(5+EC)
(10*5)/4 = 5+EC
EC = 7.5cm
Learn more about similar triangle at :
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Answer:
2 1/4
Step-by-step explanation:
13/4 is 3 1/4 because 13 divided by 4 is 3 with a remainder of 1. So from there you subtract 1 from the whole number 3 and are left with 2 1/4. I hope that makes sense! :)
Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³