All categories

3 years ago

In the following figure find the area of shaded portion

Mathematics

1 answer:

Anon25 [30]3 years ago

5 0

Answer:

90 cm²

Step-by-step explanation:

The area of the shaded portion is the area of parallelogram ABCD minus the area of triangle EBC.

ABCD is a parallelogram with base 18 cm and height 10 cm.

A(parallelogram) = bh = (18 cm)(10 cm) = 180 cm²

EBC is a triangle with base 18 cm and height 10 cm.

A(triangle) = bh/2 = (18 cm)(10 cm)/2 = 180 cm²/2 = 90 cm²

shaded area = 180 cm² - 90 cm² = 90 cm²

You might be interested in

Please help, i can't figure this out and im ready to pull my hair out!!!

Nat2105 [25]

Answer:

I'm sorry I don't know the equation, but she walks 3 mph.

Step-by-step explanation:

We know that the answer is asking for speed, which needs both distance and time, so we also need both. Which is where the 9 mph is used. 9 mph means its a difference. b means biking mph, w means walking mph, sooo ----->>> b=w+9, and the difference in the 1st equation is 36, which means the first equation is 4 times larger than the b=w+9, so she walked 48 miles, as well as walked 12 miles in 4 hours. Divide then distances by 4, and you get 12 miles and 3 miles in one hour. Or 12 mph & 3 mph, which fits into 12=3+9. So she walks 3 miles per hour.

5 0

3 years ago

Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo

bija089 [108]

<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by $\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}$ provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

$\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}$

$\implies\sf{x=\frac{1 \pm\: 7}{4}}$

Solving one by one,

$\implies\sf{x=\frac{1 + \: 7}{4}}$

$\implies\sf{x=\frac{8}{4}}$

$\implies{\boxed{\bf{x=2}}}$

________________

$\implies\sf{x=\frac{1 - \: 7}{4}}$

$\implies\sf{x=\frac{-6}{4}}$

$\implies{\boxed{\bf{x=\frac{-3}{2}}}}$

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

Hope it helps!! (:

4 0

2 years ago

Y-x=17<br> y = 4X+2<br> Help me out rn!!!!

Lena [83]

X=5 because you plug in the y into the equation y-x=17

3 0

3 years ago

Read 2 more answers

The answer of this question

dolphi86 [110]

Answer:

i think it is c

Step-by-step explanation:

not 100% sure tho

4 0

3 years ago

Select the choice that translates the following verbal phrase correctly to algebra:

PIT_PIT [208]

I think it will be w+15 because if you write 15w that means 15×w and the others don't make sense..

7 0

3 years ago

In the following figure find the area of shaded portion​

In the following figure find the area of shaded portion