Answer:
21
Step-by-step explanation:
I shall change the pictures to letters
a + a + b = 40 --(1)
b - c = 7 --(2)
c + a = 19 --(3)
a - c + b = ?
From (1):
2a + b = 40
b = 40 - 2a --(4)
From (2):
b = 7 + c --(5)
Sub (4) into (5):
40 - 2a = 7 + c
c = 33 - 2a --(6)
Sub (6) into (3):
33 - 2a + a = 19
a = 14
Sub a = 14 into (4) and (6):
b = 40 - 2(14) = 12
c = 33 - 2(14) = 5
therefore, a - c + b = 14 - 5 + 12 = 21
Topic: simultaneous equations
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Step-by-step explanation:
Given,
length of rectangle(l)= 8cm
area of rectangle(A) = 48cm2
breadth of rectangle(b) = ?
Perimeter of rectangle (P)=?
We know ,
Area of rectangle(A) = l×b
or, 48cm2 = 8cm×b
or, 48cm2 = 8bcm
or, 48cm2/8cm = b
or, 6cm = b
or, b = 6cm
therefore, b = 6cm
Perimeter of rectangle (P) = 2(l+b)
= 2(8cm+6cm)
= 2×14cm
= 28cm
therefore, Perimeter of rectangle(P) = 28cm
Now,
According to the question,
Perimeter of rectangle(P) = Perimeter of square(P)
So,
Perimeter of square(P) = 28cm
length of square(l) = ?
Area of square (A) = ?
We know,
Perimeter of square (P) = 4l
or, 28cm = 4l
or, 28cm/4 = l
or, 7cm = l
or, l = 7cm
therefore, l = 7cm
Now,
Area of square (A) = l^2
= (7cm)^2
= 7cm×7cm
= 49cm^2
therefore, area of square (A)= 49cm^2
Answer:
B) T = 2πr/v
Step-by-step explanation:
To solve the given equation for T, multiply it by T/v.

Answer:
The table should measure diagonally about 41.23 inches.
Step-by-step explanation:
To find the diagonal of a rectangle we use the formula :
+
= 
A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.
+
= 
1024 + 676 = 
1700 = 
The square root of 1700 is (rounded to the hundreth's place) = 41.23
Answer:
6
Step-by-step explanation:
Okay so the shape has an area of 60 square inches. The formula for the area of a triangle is A = b*h where A = area, b = base, and h = height
So we are given the value for A (60)
We are given the value for height (10)
So we just need to find the value of the base
So let's set this up as an equation. Input the given values into the area for triangle formula
A = B*h
60 = B * 10
So we need to solve for B. To do that we need to get B alone on one side of the = sign. B is being multiplied by 10 so do the opposite and divide both sides by 10
60 divided by 10 = 6
10 divided by 10 = 1 (don't actually put a 1 down, just drop it)
So we are left with
6 = B
So the base is 6 square inches. To test, put it in the equation:
A = B*h
60 = 6*10
60 = 60