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3 years ago

A box of 15 cookies cost nine dollars what is the cost of one cookie

Mathematics

1 answer:

finlep [7]3 years ago

7 0

Answer:

$1.67

Step-by-step explanation:

Divide 15 by 9 to find the price of one cookie:

15/9 = 1.67

= approximately $1.67

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Prove that sinxtanx=1/cosx - cosx

maks197457 [2]

Answer:

See below

Step-by-step explanation:

We want to prove that

$\sin(x)\tan(x) = \dfrac{1}{\cos(x)} - \cos(x), \forall x \in\mathbb{R}$

Taking the RHS, note

$\dfrac{1}{\cos(x)} - \cos(x) = \dfrac{1}{\cos(x)} - \dfrac{\cos(x) \cos(x)}{\cos(x)} = \dfrac{1-\cos^2(x)}{\cos(x)}$

Remember that

$\sin^2(x) + \cos^2(x) =1 \implies 1- \cos^2(x) =\sin^2(x)$

Therefore,

$\dfrac{1-\cos^2(x)}{\cos(x)} = \dfrac{\sin^2(x)}{\cos(x)} = \dfrac{\sin(x)\sin(x)}{\cos(x)}$

Once

$\dfrac{\sin(x)}{\cos(x)} = \tan(x)$

Then,

$\dfrac{\sin(x)\sin(x)}{\cos(x)} = \sin(x)\tan(x)$

Hence, it is proved

5 0

2 years ago

List the following numbers from least to greatest -5/3, 7/3, -3/4, 7/5.

sukhopar [10]

-3/4, -5/3, 7/5, 7/3

6 0

3 years ago

The ABC Toy Company is creating two similar pieces for board game, as shown below. Find the value of y that makes the two pieces

Ira Lisetskai [31]

A shape that is similar to another shape will be enlarged by a scale factor.
Each corresponding sides should give the same scale factor

Side GI corresponds to side JL
Side GH corresponds to side JK
Side HI corresponds to side KL

The correspond sides whose length are given is
GH = 4 and JK = 8

Side JK is twice longer than GH

All the other sides of triangle JKL are twice longer than triangle GHI, so we want that the side JL to be twice of the sides GI

Side GI = 6
Side JL = 6 × 2 = 12

Answer: y = 12

8 0

3 years ago

Please help with this quesriom

Wittaler [7]

Answer:

True

Step-by-step explanation:

Just a guess

6 0

2 years ago

The following are the last 10 run scores Colin got in cricket:

Softa [21]

A) mean score = (18+25+28+15+6+18+2+4+25+15)/10
= 15.6 runs
Approximately 16 runs
b) (18+25+28+15+6+18+2+4+25+15+31)/11
= 17 runs

8 0

2 years ago

Read 2 more answers