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marshall27 [118]
3 years ago
11

He height of a triangle is 9 m less than is base the area is 56 m^2 what is the length of the base?

Mathematics
1 answer:
zloy xaker [14]3 years ago
4 0
Formula for area of triangle:
A= 1/2 bh
Where b is the base and h is the height of the triangle.
Here, h= b-9
A=56 m^2
Put values in formula.
56= 1/2 (b) (b-9)
56=b(b-9)/2
Multiply both sides by 2.
112=b^2-9b
or
b^2-9b-112=0
Factorise the equation.
b^2-16b+7b-112=0
b(b-16)+7(b-16)=0
(b+7)(b-16)=0
Using zero factor theorem.
b+7=0 or b=-7
and
b-16=0 or b=16
Ignore the value b=-7, because length cannot be negative.
So length of base=16 m

Answer: Base=16m


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The perimeter of the semicircle is 19π cm if the diameter of the circle is 38 cm.

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We have a circle with diameter of 38 cm.

Diameter = 38 cm

The radius of the circle = 38/2 = 19 cm

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6 0
2 years ago
Suppose point z is halfway between point w and x a standard numberline, and point x is halfway between points z and y. Where is
Delicious77 [7]

Answer:

The point w is located at -4/3

Step-by-step explanation:

Point z is halfway between point w and x

Point x is halfway between point z and y

Point z is located at 1/3 and point y is located at 11/3

Please refer to the number line attached

Then the x is located at the mid-point of z and y

x = \frac{z+y}{2} \\\\x = \frac{\frac{1}{3}+ \frac{11}{3} }{2}

x = 2

Since z is the mid-point of w and x

z = \frac{w+ x }{2}\\\\\frac{1}{3}  = \frac{w+ 2 }{2}\\\\\frac{2}{3}  = w+ 2 \\\\w = \frac{2}{3} - 2\\\\w = -\frac{4}{3}

Therefore, the point w is located at -4/3

6 0
3 years ago
X−7&lt;14<br><br> Options:<br><br> x&lt;7<br><br> x&gt;21<br><br> x&lt;21<br><br> x&gt;7
guajiro [1.7K]

This is a simple equation:

x - 7 < 14

x < 14 + 7

x < 21

→ Many people think that because there is not "=" sign they don't flip the sign of what in this case is -7. But actually, the symbols "<" and ">" act as the equal sign. This rule doesn't apply to positive number, only negative.


Hope it helped,


BioTeacher101


(If you have any questions, feel free to ask them in the comments)

6 0
3 years ago
Read 2 more answers
(x-3) (x-4) polynomial
Debora [2.8K]

Answer:

x^{2} -7x +12

Step-by-step explanation:

Using the Foil method

you multiply x times x and get x^{2}

Then you multiply -4 times X and get -4x

Then you multiply -3 times X and get -3x

then you add -4 and -3 together and get -7x

Lastly you multiply -4 and -3 and get 12

And there you have it

x^{2} -7x +12

8 0
3 years ago
The diameter of the circle is 8 cm. what is the circles area?
iren [92.7K]

Answer:

Step-by-step explanation:

diameter = 8 cm

radius = 8/2 = 4 cm

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                       = 3.14*4*4 = 50.24 cm²

8 0
3 years ago
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