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Alexeev081 [22]

3 years ago

15

a baker wants to make 10 batches of cookie. each batch uses 2/3 cup.of sugar. how many cups of sugar will the baker need to make

all 10 batches

1 answer:

Alchen [17]3 years ago

3 0

Answer:

10 x 2/3 = 20/3 or 6 cups and 2/3

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(PLEASE HELP! NO SPAM!) On the following triangle, sin⁡〖θ=15/17〗. What is cosθ?

brilliants [131]

Answer:

Cos(θ) = 8 / 17

Step-by-step explanation:

<em>Cos = Adjacent / Hypotenuse</em>

Side that is adjacent to θ = 8

hypotenuse of the triangle = 17

<u>Cos(θ) = 8 / 17</u>

Hope this helps!

6 0

3 years ago

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Evaluate the integral 1 / (x^2 + 9) ^3/2 dx.

tigry1 [53]

Answer:

Step-by-step explanation:

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Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

6 0

3 years ago

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cabl

KATRIN_1 [288]

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

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3 years ago

Which is the only set of three measurements that could represent the lengths of a 3 side of a triangle?

Yuki888 [10]

Answer:

C or D

Step-by-step explanation:

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3 years ago