I need help on this question???

A bag of trail mix weighs 1 and 1/3 lbs.How much will 2 and 1/2 bags weigh

katrin2010 [14]

4/3 times 5/2 is 20/6, or 10/3. 3 1/3 pounds is the answer

4 0

3 years ago

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i

Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

$\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}$

Rewriting it in terms of x° as follows,

$\sin x=\dfrac{opposite\:side}{hypotenuse\:side}$

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

$\sin x=\dfrac{FE}{FG}$

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

$\sin x=\dfrac{12}{18.6}$

To find the value of x, taking inverse sin.

$x=\arcsin \left(\dfrac{12}{18.6}\right)$

Calculating the value,

$x=40.17$

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

8 0

3 years ago

Happy Earth Day. Have a wonderful Day! If you answer you must give me ten Earth day Activities to answer. Thank you!

emmasim [6.3K]

Answer:

Happy Earth Day to u too.

Step-by-step explanation:

1) Plant a sapling

2) Draw a poster related to Earth Day

3) Color a picture of the Earth/ tree

4) Decorate ur room with plants

5) Prepare a speech on Earth Day

6) Do T-shirt designing with Earth as a design

7) Buy a paper/ cloth bag

8) Recycle what u use

9 Avoid plastic

10) Use bikes or walk instead of vehicles

5 0

3 years ago

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A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side

kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

$\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}$

b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)

$x=y-76\Rightarrow equation(2)$

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

$z=y+379\Rightarrow equation(3)$

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\ \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}$

now, replace the y value in equatino (2) to find x

b)

$\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}$

c) finally, prelace x and y value in equation (1) to find z

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}$

so

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0

1 year ago

Select the correct answer

scoray [572]

Answer: A

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers