Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
Answer:
z=3
Step-by-step explanation:
4(z+6)-11=25
add 11 to both sides
4(z+6)-11+11=25+11
simplify
4(z+6)=36
divide each side by 4
(4(z+6))/4=36/4
Simplify
z+6=9
subtract 6 from each side
z+6-6=9-6
simplify
z=3
When 2n is divided by 4 the remainder will be 2
Division is a simple operation in which a number is divided.
Given,
A whole number n which when divided by 4 gives 3 as remainder
We know,
Dividend = (Divisor × quotient)+ Remainder
Here,
Dividend = n
Quotient = 4
Remainder =3
Consider the divisor as a
Then,
n = 4a+3
Multiply both side by 2
2n= 2(4a+3)
2n= 8a+6
Split the term 6 and take common outside
2n= 8a+4+2
2n= 4(2a+1)+2
So, when 2n is divided by 4
Divisor = 2a+1
Remainder = 2
Hence, when 2n is divided by 4 the remainder will be 2
Learn more about division here
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Answer:
C...........................
45x = 180
divide by 45
x=4
yes
420 /d = 30
multiply by d
420 =30d
divide by 30
14 =d
no d=14
37+s = 80/2
37+s =40
subtract 37 from each side
s =3
no s=3
52+g =45+11
52+g = 56
subtract 52 from each side
g=4
no g=4
13+14 = 3f
27 = 3f
divide by 3
9=f
yes f=9
