All categories

3 years ago

The height of a triangle is 8 yd longer than the base x. The area is 192 yd?

Mathematics

2 answers:

alisha [4.7K]3 years ago

7 0

Answer:

Base is 16 yards and the height is 16+8=24 yards.

Step-by-step explanation:

So the base is x,

therefore, the height is x+8.

So $x$ × $(x+8)=192$ × $2$

(Sorry, I already timed 2 on both side of the equation)

$x^{2} +8x=384\\x^{2} +8x-384=0\\Using the formula:\\When /ax^{2} +bx+c=0\\\\Then / x=\frac{-b +- \sqrt{b^{2} -4ac} }{2a}$

(The +- is plus or minus)

So x=16 (Sorry for the lack of calculation, but its just too hard to write this on brainly, so here's the answer)

Base is 16 yards and the height is 16+8=24 yards.

Have a nice day :)

sineoko [7]3 years ago

5 0

Answer:

192 = (x^2 + 8x)/2

Step-by-step explanation:

we know the base is x and the height is x+8.

Area of the triangle is 1/2 bh.

we know h and x

if we take area to be 192, we can write the area to be;

1/2 x(x+8) =A

$192 =\frac{x^{2}+8x }{2}\\$

You might be interested in

Which of the following is equivalent to the radical expression below?

SCORPION-xisa [38]

For this case we must indicate an expression equivalent to:

$\sqrt {10x ^ 7}$

By definition of properties of powers and roots we have that:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

Then, we can rewrite the expression as:

$10 ^ {\frac {1} {2}} * x ^ {\frac {7} {2}}$

Answer:

OPTION A

6 0

3 years ago

Need Help Please what is y 2x-4y=58?

Bond [772]

Answer:

y = 1/2 x -14.5

Step-by-step explanation:

2x-4y=58

solve for y

subtract 2x from each side

2x-2x-4y = -2x+58

-4y = -2x+58

divide by -4 on both sides

-4y/-4 = -2x/-4 +58/-4

y = 1/2 x -14.5

3 0

4 years ago

50 points please give step by step instruction

fenix001 [56]

Answer:

 x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

Change cos2x to 1 - 2sin^2x:

1 - 2sin^2x + 2 sinx = sin^2x

Shift the terms to make it a quadratic equation:

3 sin^2x - 2sinx - 1 = 0

Factorise the quadratic equation:

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

Solve for sin x = 1:

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

x = 90, 270 degrees

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

x = 199.5, 340.5

Hence, x = 90, 199.5, 270, 340.5 degrees

[Sorry if I am wrong :( ]

8 0

4 years ago

I did the first of one

Rina8888 [55]

Answer:

2) 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

3) 20, 18, 16, 14, 12, 10, 8, 6, 4, 2

4) 6, 11, 16, 21, 26, 31, 36, 41, 46, 51

5) 10, 20, 30, 40, 50, 60, 70, 80, 90, 100

6) 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

7) 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

8) 16, 18, 20, 22, 24, 26, 28, 30, 32, 34

9) 18, 27, 36, 45, 54, 63, 72, 81, 90, 99

10) 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

11) 11, 13, 15, 17, 19, 21, 23, 25, 27, 29

12) 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

Step-by-step explanation:

Add 7 on the first one, subtract 2 on the second, add 5 on the fourth, add 10 on the fifth, add 6 on the sixth, add 9 on the seventh, add 2 on the eighth, add 9 on the ninth, add 8 on the tenth, add 2 on the eleventh, and add 2 on the twelfth.

3 0

3 years ago

Translate and solve. 17. The absolute value of three times a number, n, is greater than 15.

castortr0y [4]

Answer:

3n>15

Step-by-step explanation:

So basically, this three times a number, 3n, is greater than 15. So, this is 3n>15.

3 0

3 years ago