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3 years ago

A rectangular room has a perimeter of 70m and is 20m long write an equation to represent the area

Mathematics

1 answer:

ladessa [460]3 years ago

5 0

70-40= 30
30/2 = 15
40/2= 20
15 x 20 = 300

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Solve 2x^2- 7x - 4 = 0 using the Quadratic Formula.

AVprozaik [17]

Answer:

The final answers are:

$x = 4$

$x = -\frac{1}{2}$

Step-by-step explanation:

-The equation:

$2x^2 -7x-4=0$

Use the Quadratic Formula:

$\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x =\frac{-(-7)\pm \sqrt{(-7)^2-4\time2(-4)} }{2\times2}$

-Then, you solve:

$x = \frac{-(-7)\pm \sqrt{(-7)^2-4\time2(-4)} }{2\times2}$

-Multiply -7 by the exponent 2:

$x =\frac{-(-7)\pm \sqrt{49-4\time2(-4)} }{2\times2}$

-Multiply to the 4 and the 2:

$x =\frac{-(-7)\pm \sqrt{49-8(-4)} }{2\times2}$

-Distribute -4 by 8:

$x=\frac{-(-7)\pm \sqrt{49+32} }{2\times2}$

-Add 49 and 32 together:

$x =\frac{-(-7)\pm \sqrt{81} }{2\times2}$

-Take the square root of 81:

$x= \frac{-(-7)\pm 9 }{2\times2}$

-The opposite of -7 is 7:

$x = \frac{7\pm 9 }{2\times2}$

-Multiply 2 times 2:

$x = \frac{7\pm 9 }{4}$

-Add both the 7 and 9:

$x = \frac{16}{4}$

-Divide 16 by 4 to get 4:

$x = 4$

So, the first answer $x = 4$ and you need to find the second answer.

-To find the second answer, you to reduce the fraction to lowest terms and canceling out the 2:

$x = \frac{-2}{4}$

$x = -\frac{1}{2}$

So, the second answer is $x = -\frac{1}{2}$ .

-The results are:

$x =4$

$x = -\frac{1}{2}$

4 0

3 years ago

Determine the number of lines of symmetry for the figure

Ganezh [65]

10 is the right answer

8 0

3 years ago

A skateboarding ramp is 12 inches high and rises at an angle of 18 degrees. How long is the base of the ramp?

VLD [36.1K]

I think it is 216 hope it helps

6 0

3 years ago

Read 2 more answers

1. The angle of depression from the top of the

STatiana [176]

Answer:

41.7feet

Step-by-step explanation:

From the question we are given the following

angle of depression = 50°

Distance of the pole from the base of the feet = 35feet (Adjacent)

Required

height of the school (opposite)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 50 = H/35

H = 35tan 50

H = 35(1.1918)

H = 41.7feet

Hence the height of the school is 41.7feet

3 0

3 years ago

marco has 37 1/2 ounces of juice he wants to pass out samples of the juice each cup can hold 2 1/2 ounces of juice how many cups

Crank

So 37 1/2
each can hold 2 1/2 oz

how many cups can he fill

37 1/2=75/2
2 1/2=5/2

x=number of cups
x times 5/2=75/2
5/2x=75/2
multiply both sides by 2
5x=75
divide both sides by 5
x=15
he can fill 15 cups

8 0

3 years ago

Read 2 more answers