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3 years ago

8

The avid class is making spirit buttons. They make 490 spirit buttons in 3 1/2 hours. Find the number of spirit buttons the avid

class makes per hour.

2 answers:

bogdanovich [222]3 years ago

4 0

Answer:

all you do is divide-

490/3 1/2= 140

they make 140 buttons per hour

Step-by-step explanation:

solmaris [256]3 years ago

3 0

All you wanna do is divide-
490/3 1/2= 140
they make 140 buttons per hour

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I need alot of help figuring out this problemm TRIG HW

leva [86]

Answer:

x = 15

y = 15√3

Step-by-step explanation:

This is a special right triangle with angle measures 30° 60° 90°

The side lengths should be x 2x x√3

If the measure of hypotenuse 30 then the side length that sees 30° should be half of it so x = 15 and y = 15√3

6 0

3 years ago

Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.

3 0

2 years ago

Find the area of the triangle below.

gulaghasi [49]

Answer:

Gọi AH là đường cao kẻ từ A đến BC

Xét tam giác AHC vuông tại H

Suy ra AH = HC. cotA= 9.cot35° = 12,9

Xét tam giác AHB vuông tại H

Suy ra BH = AH.tanA = 12,9.tan61°=23,37

Ta có BC= HC+ HB= 9+23,27 =32,27

Diện tích tam giác ABC = 1/2 × AH ×BC= 1/2 ×12,9×32,27=208,1415

8 0

2 years ago

David bought a pizza for $12.74 and four medium drinks. Define a variable and write an expression to represent the total amount

SSSSS [86.1K]

You could say each drink is d. And we'll say the total is t. David got 4 drinks,

So... 12.74 + 4d = t

Hope this helps!

7 0

3 years ago

Katen [24]

Answer:

4-3=1

8+9=17

7 x 2= 14

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers