Ask question

Ask question

All categories

2 years ago

7

A diagonal of a parallelogram is 20 inches long and makes angles of 17° and 49° with the sides. How long is the longest side?

1 answer:

stiv31 [10]2 years ago

3 0

Angles of the parallelogram which is given in the problem are:α = 49° + 17 °= 66°

β = 180° - 66° = 114°

x - length of the longest side of the parallelogram;

Use the Sine Law:x / sin 49° = 20/ sin 17°

x / 0.7547 = 20 / 0.2924

0.2924 x = 15.094

x = 15.094 : .2924

x = 51.62 is the longest side of the parallelogram.

You might be interested in

Please help me answer this I don't understand, I would really appreciate how you solved it as well.

abruzzese [7]

Answer: Parallel

Step-by-step explanation:

Set your -2x+10y=5 equation equal to y

-2x+10y=5

<u> -10y -10y</u>

-2x=5-10y

<u>-5 -5 </u>

<u>-2x-5</u>+<u>-10y</u>

-10 -10 -10

-1/5x-1/2=y

Now you can put your equations into your graphing calculator and examine the lines made

(if you dont have one search up <em>online graphing calculator</em> on google or your app store)

5 0

2 years ago

Select the statement that describes this expression: 1/2 x (734 − 246).

Furkat [3]

Answer:

The value of given expression is 244.

Step-by-step explanation:

The given expression is $\dfrac{1}{2}\times (734 - 246)$ .

We need to simply the above expression.

First of all, we will subtract 246 from 734. By doing so, we get 488.

Now, we can divide 488 by 2.

As a result we get 244.

So, the value of given expression is 244.

6 0

3 years ago

The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)

Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation $Q(x)=2x^2-kx+18$

To find:

Value of $k = ?$ for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: $ax^{2} +bx+c=0$ to have one distinct solution:

$b^2 - 4ac = 0$

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

$(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12$

The equation becomes:

$Q(x)=2x^2-12x+18$

And the one root is:

$2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3$

4 0

2 years ago

Which number does NOT represent a rational number

defon

Answer:

Step-by-step explanation:

B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10) sqrt(10) is irrational.

8 0

2 years ago

Read 2 more answers

What is the distance between the points (-6,5) and (8,-2) on a coordinate plane?

Naddik [55]

Distance Formula: $D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Apply the points: $D=\sqrt{(8-(-6))^2+((-2)-5)^2$

Solve: $D=\sqrt{(8-(-6))^2+((-2)-5)^2}\\D=\sqrt{14^2+(-7)^2}\\D=\sqrt{169+49}\\D=\sqrt{218}$

Since the square root of 218 cannot be simplified, the answer is

$D=\sqrt{218}$

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0

2 years ago