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3 years ago

Can anyone pls help me in dis pls

Mathematics

1 answer:

Brut [27]3 years ago

8 0

(a + b)² and c² + 4(1/2 ab) both represent the area of the outer square and are equal.

Step-by-step explanation:

Step 1: The below reasons explain why the expression is a true equation.

1. The left hand side expression (a + b)² finds the area of the outer square by squaring its side length.

[In the figure, side length of the outer square = a + b and area of a square = (side length)²]

2. The right hand side expression c² + 4(1/2 ab) finds the area of the outer square by adding the area of the inner square and the four triangles.

[In the figure the length of the inner square is c, the triangles have a base a and height b and area of a triangle = 1/2 base × height]

So the left hand side and right hand side of the expression is equal.

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The larger of two numbers is 11 more than twice the smaller. The sum of the is 1 less than seven times the smaller. Find the num

algol [13]

I think L=17 and S=3

3 0

3 years ago

They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm

alex41 [277]

Answer:

A. Area of ABCD = 240 $cm^{2}$

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A. Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

= 24 x 10

= 240 $cm^{2}$

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

$BD^{2}$ = $BC^{2}$ + $DC^{2}$

= $10^{2}$ + $24^{2}$

= 676

BD = $\sqrt{676}$

= 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

= 60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

= 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

= 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

= 50 cm

7 0

3 years ago

An equation parallel and perpendicular to 4x+5y=19

UNO [17]

Answer:

Parallel line:

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

$y=\frac{5}{4}x-\frac{1}{2}$

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

$4x+5y=19$

we can change it into y=mx+b form

$5y=-4x+19$

$y=-\frac{4}{5}x+\frac{19}{5}$

so,

$m=-\frac{4}{5}$

Parallel line:

we know that slope of two parallel lines are always same

so,

$m'=-\frac{4}{5}$

Let's assume parallel line passes through (1,1)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-1=-\frac{4}{5}(x-1)$

now, we can solve for y

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

$m'=\frac{5}{4}$

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-2=\frac{5}{4}(x-2)$

now, we can solve for y

$y=\frac{5}{4}x-\frac{1}{2}$

4 0

3 years ago

8 divide by 1 1/4 KCF

Diano4ka-milaya [45]

Answer:

32/5

Step-by-step explanation:

K=Keep the first Fraction (You can rewrite 8 as 8/1 for when you multiply across.)

C=Change the Division Sign to a Multiplication Sign

F=Flip the Second Fraction

First, rewrite 1 1/4 as 5/4 (A mixed number can be changed to a fraction by multiplying the outside whole number by the denominator or bottom number of the fraction, then add the new rewritten whole number and the original fractional piece. In this case you would multiply the outside 1 by the bottom 4 and add it to the original 1/4. 4/4+1/4=5/4)

Second, Flip 5/4 to 4/5 and change your equation so it now reads: 8/1 x 4/5

Third, use simple fraction multiplication and multiply across to get 8/1 x 4/5=32/5

6 0

3 years ago

Ben baked brownies in the brownie pan shown below. Each day, he is going to eat 303030 square centimeters of brownie from the pa

luda_lava [24]

Answer:

Option A. $30\ days$