Find the surface area of a rectangular figure

I'LL GIVE YOU BRAINIEST!<br> 1 1/5 · x/3 = 9/10 solve for x

joja [24]

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Solve:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}$

$\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}$

$\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}$

$\mathbf{\rightarrow x = \dfrac{45}{20}}$

$\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}$

$\mathbf{\rightarrow x = \dfrac{9}{4}}$

$\mathbf{x \approx 2 \dfrac{1}{4}}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

2 years ago

Read 2 more answers

Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.

Serhud [2]

Answer:

The area of a rhombus is $18\sqrt{3}$ square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

$\sin \theta=\frac{opposite}{hypotenuse}$

$\sin (60)=\frac{h}{6}$

$\frac{\sqrt{3}}{2}=\frac{h}{6}$

Multiply both sides by 6.

$3\sqrt{3}=h$

The height of the rhombus is $3\sqrt{3}$ .

Area of a rhombus is

$Area=base\times height$

$Area=6\times 3\sqrt{3}$

$Area=18\sqrt{3}$

Therefore, the area of a rhombus is $18\sqrt{3}$ square units.

8 0

3 years ago

Read 2 more answers

Which line is parallel to the line

UkoKoshka [18]

I think its b , but iam not sure

5 0

3 years ago

I need help please ASAP

Murrr4er [49]

10. Kim gets $7 per hour and gets charged $1 for gloves

Use y to represent her pay and x to represent hours worked.

The equation is y = 7x - 1 because she gets 7 times x hours and there is a minus 1 because of the charge of gloves.

11. The table shows that each increasing hour, 8$ is added. Therefore we need to find the bonus that Kit receives just for showing up. This is when hours equals 0. If 3 hours is 27$ pay, then 2 hours is 19$ pay, 1 hour is 11$ pay and 0 hours is 3$ pay. We find that there is a 3$ bonus just for showing up.

Therefore the equation is y = 8x + 3

12. At x = 0, y = 2 so the y-intercept is 2. The slope is going down 4 and right one which means the slope is -4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:

y = -4x + 2

13. At x = 0, y = -3 so the y-intercept is -3. The slope is going up 1 and right 4 which means the slope is 1/4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:

y = 1/4 x - 3

5 0

3 years ago

Jack took a survey of some classmates to find out their favorite type of fish in the school’s aquarium. Of his classmates, 8 lik

valentinak56 [21]

11 / 26 = 42% This answer is certainly correct for your percentage.

6 0

3 years ago