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3 years ago

Find x for the triangle when it's a right triangle

Mathematics

1 answer:

BARSIC [14]3 years ago

7 0

Just use the Pythagorean theorem.

a^2 + b^2 = c^2
4^2 + x^2 = (2x-1)^2
16+x^2=(2x-1)(2x-1)
16+x^2=4x^2-4x+1
0=3x^2-4x-15
0=(3x+5)(x-3)
3x+5=0 x-3=0
3x= -5 x=3
x= -5/3 x=3

Since x can't be a negative number when it comes to distance or the length of a triangle, the answer must be x=3.

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Area triangles? it says show work so pls do

coldgirl [10]

$\large{\underline{\underline{\pmb{\sf {\color {blue}{Solution:}}}}}}$

Given,

Area = 225 yd²

Base = 30 yd

Height = [To be calculated]

To find:

The height of the given triangle.

We know that, area of a triangle is:

$\frac{1}{2} \times (b \times h) \\ \\ \leadsto \frac{1}{2} \times (30 \times h) \\ \\ \leadsto \frac{1}{2} \times 30h \\ \\ \leadsto \frac{1}{ \cancel{2}} \times \cancel{30}h \\ \\ \leadsto1 \times 15h \\ \\ \leadsto \: h = 15 \: yd$

Therefore, the require height is 15 yd.

$\green\star$ Proof:

$\frac{1}{2} \times (b \times h) \\ \\ \leadsto \frac{1}{2} \times (30 \times 15) \\ \\ \leadsto \frac{1}{ \cancel{2}} \times \cancel{450} \\ \\ \leadsto1 \times 225 \\ \\ area = 225 {yd}^{2}$

$\boxed{ \frak \red{brainlysamurai}}$

6 0

2 years ago

Please answer this, I need help

frutty [35]

Answer:

-$7

Step-by-step explanation:

20 - 15 = 5

5 + 5 = 10

10 - 10 = 0

0 - 7 = -7

8 0

3 years ago

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At the fair 4 employees were paid $8.75 an hour to work at a funnel cake stand. They worked 8 hours at regular pay then for 5 ho

nordsb [41]

Answer:

$125.25

Step-by-step explanation:

8.75*h+11.25*e

h is hours regular pay and e is extra pay for overtime. Since its an extra $2.50 for overtime, add that to the regular pay. Put in the hours:

$8.75*8+11.25*5$

Simplify by multiplying 8.75 by 8

$70+11.25*5$

Simplify by multiplying 11.25 by 5

$70+56.25$

Add

$70+56.25=126.25$

Since it says how much did each earn, as in individually, leave it as it is (unless regular pay was $2.18 an hour, which would be a rip-off). I'm pretty sure including the number of employees was meant to throw you off.

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4 years ago

What is the area of rectangle ABCD?

lina2011 [118]

Multiply the length by the width and your answer will be there.

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3 years ago

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Dominic spent $8 on a book. He made $6 doing chores for a neighbor. What numbers represent the situations?

Katyanochek1 [597]

Answer:

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