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3 years ago

I dont understand this

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

Answer: First option.

Step-by-step explanation:

You need to remember the following Trigonometric Identity:

$cos\alpha =\frac{adjacent}{hypotenuse}$

In this case, you can identify in the figure that:

$\alpha =35\°\\adjacent=9\\hypotenuse=x$

Then you must substitute these values into $cos\alpha =\frac{adjacent}{hypotenuse}$ :

$cos(35\°) =\frac{9}{x}$

Finally, you need to solve for "x" in order to find its value. This is:

$(x)(cos(35\°))=9\\\\x=\frac{9}{cos(35\°)}\\\\x=10.98$

Rounding the result to the nearest tenth, you get:

$x\approx11$

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Casey wants to buy a gym membership. Gym A has a $150 joining fee and costs $35 per month. Gym B has no joining fee and costs $6

MariettaO [177]

Answer:

Step-by-step explanation:

Gym A has a $150 joining fee and costs $35 per month.

Assuming that Casey wants to attend for x months, the cost of using gym A will be

150 + 35 times x months. It becomes

150 + 35x

Gym B has no joining fee and costs $60 per month.

Again, assuming that Casey wants to attend for x months, the cost of using gym B will be

60 × x months = 60x

A) To determine the number of months that it will both gym memberships to be the same, we will equate them.

150 + 35x = 60x

60x - 35x = 150

25x = 150

x = 150/25 = 6

It will take 6 months for both gym memberships to be the same.

B) If Casey plans to only go to the gym for 5 months,

Plan A will cost 150 + 35×5 = $325

Plan B will cost 60 × 5 = $300

Plan B will be cheaper

6 0

3 years ago

Can dilations be used to form scale copies of a figure?

Inessa [10]

Answer:

sometimes

Step-by-step explanation:

There are several ways that dilation is used in real life. Here are several:

In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.

In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.

In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.

In the doctor's office. Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.

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2 years ago

Pat made a total of 48 pottery plates and cups. if she made twice as many plates as cups, how many plates did she make?

ddd [48]

If C stands for cups, solve for C

48 - 2c = 0
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subtract 48 from each side.
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2c=-48
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divide 48 by 2 ---> 24.

3 0

3 years ago

Read 2 more answers

Please Help!!<br><br> What should be done 10x ^ 2 - 8x to create a perfect square ?

Pani-rosa [81]

Answer: 10x^2-8x+16

Step-by-step explanation:

Use the formula (b/2)^2

then plug in values:

(-8/2)^2 = -4^2 = 16

ans: 10x^2-8x+16

hope this helps

4 0

2 years ago

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7% vinegar, and the second brand co

Lina20 [59]

Answer: There is 162 ml of first brand and 108 ml of second brand.

Step-by-step explanation:

Since we have given that

Percentage of vinegar that the first brand contains = 7%

Percentage of vinegar that the second brand contains = 12%

Percentage of vinegar in mixture = 9%

Total amount of dressing = 270 ml

We will use "Mixture and Allegation":

First brand Second brand

7% 12%

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12%-9% : 9%-7%

3% : 2%

So, ratio of first brand to second brand in a mixture is 3:2.

So, Amount of first brand she should use is given by

$\dfrac{3}{5}\times 270\\\\=162\ ml$

Amount of second brand she should use is given by

$\dfrac{2}{5}\times 270\\\\=108\ ml$

Hence, there is 162 ml of first brand and 108 ml of second brand.

4 0

3 years ago