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2 years ago

The length of a rectangle is 24 more than its width. Find the area of the rectangle if its perimeter is 100 cm.

Mathematics

1 answer:

Serggg [28]2 years ago

4 0

Answer:

481

Step-by-step explanation:

Lets say width = x

Length = x+24

Perimeter is 100 so

100=x+24+x+24+x+x

100=4x+48

100-48=4x

52=4x

x=13

So width = 13

Length = 37

37x13=481

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The dual bar chart shows the hair colour of boys and girls in a year group. How many students are in the year group?

notka56 [123]

Answer:

102

Step-by-step explanation:

24+12+5+17+6+19+4+15=102

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3 years ago

What is the independent variable in this function?

DedPeter [7]

Answer:

Step-by-step explanation:

The value of h depends on the values of p.

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1 year ago

The midpoint of AB is M(7. – 7). If the coordinates of A are (8,-6), what are the

IRISSAK [1]

Answer: B = (6,-8)

Step-by-step explanation:

first the midpoint formula is $(\frac{x1+x2}{2},\frac{y1+y2}{2})$

then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:

$\frac{8+x}{2}=7$

then solve it like an equation:

$8+ x=14\\x=6$

then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:

$\frac{-6+y}{2} =-7$

then solve it like an equation:

$-6+y=-14\\y=-8$

∴ the answer is x=6, y= -8

which is expressed as a point, B(6,-8)

3 0

3 years ago

Please thank youuu asap!!!!!!!!!!!!!!!!!

Vitek1552 [10]

All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)

<h3>Draw a straight line through (0,0) and (3,5) to graph</h3>

The equation of this line is y = (5/3)x

5 0

3 years ago

Need some help with this question please

Serggg [28]

Answer:

$\frac{15}{17}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ad}{hip} \\ \\ \sin( \alpha ) = \frac{op}{hip}$

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

$x \: = \sqrt{{17}^{2} - {8}^{2} } \\ x = \sqrt{289 - 64} \\ x = \sqrt{225} \\ x = 15$

$\sin( \alpha ) = - \frac{15}{17}$

$\sin( - \alpha ) = \frac{15}{17}$

4 0

3 years ago