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3 years ago

To convert 2/3 into an equivalent fraction with a denominator of 18, we could multiply only the denominator of 2/3 by.

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer:

the answer is true

Step-by-step explanation:

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Find the length of each Arc. Do not round. Part 2. NO LINKS!!

Natali5045456 [20]

Answer:

10) 95π/6 ft

12) 39π/4 ft

Step-by-step explanation:

10) 2π * 19 * 150/360 = 95π/6 ft

12) 2π* 13 * (3π/4)/(2π) = 39π/4 ft

5 0

2 years ago

3) Solve each equation using the quadratic formula. Show<br> a. x2 – 3x – 10 = 0

Naya [18.7K]

Answer:

Step-by-step explanation:

The quadratic formula of a quadratic equation

$ax^2+bx+c=0\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}$

$\text{If}\ b^2-4ac$

We have:

$x^2-3x-10=0\to a=1,\ b=-3,\ c=-10\\\\b^2-4ac=(-3)^2-4(1)(-10)=9+40=49>0\\\\x=\dfrac{-(-3)\pm\sqrt{49}}{2(1)}=\dfrac{3\pm7}{2}\\\\x=\dfrac{3-7}{2}=\dfrac{-4}{2}=-2\\or\\x=\dfrac{3+7}{2}=\dfrac{10}{2}=5$

5 0

3 years ago

Wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes. Cora uses 2.4 cups of flour in a recipe that makes 8 shortcak

dalvyx [7]

For Wyatt's recipe the rate is:
r1 = 3.15 / 9
r1 = 0.35
For Cora's recipe the rate is:
r2 = 2.4 / 8
r2 = 0.3
The difference between both recipes is:
r1-r2 = 0.35 - 0.3 = 0.05
Answer:
0.05 cups of flour per shortcake less is needed for Cora's recipe

5 0

4 years ago

I need help on this question

vlada-n [284]

<h2>Answer:</h2><h2>Angle ABE = 115.5°</h2><h2>Angle DBE = 25.5°</h2>

Hope this will help you lot.

5 0

3 years ago

A square piece of paper has an area of x2 square units. A

Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip = length * width = 2*x = 2x

Area of square piece of paper when rectangular strip is taken away from it

= Area of square - area of rectangular strip

= $x^2 -2x$

It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.

Thus,

$x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\$

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

5 0

4 years ago