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3 years ago

I need help asap please!

Mathematics

1 answer:

dedylja [7]3 years ago

6 0

Answer:

option 2 is the best answer

Step-by-step explanation:

I actually couldn't tell you 100% how i got this answer, but i narrowed it down to option 2 and option 3 because those ones have the inequality sign facing the correct way, and then I solved the inequalities to see which one made more sense, and option 3 came out as negative and you can't have a negative cost on something, so option 2 is the best answer.

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Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25

umka2103 [35]

Answer :

$\frac{1}{100} (4 {x}^{2} + {y}^{2} )$

$\frac{dy}{dx} = \frac{ - x}{y}$

8 0

4 years ago

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.

Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

AC = 2 x XY
CB = 2 x YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x XY

CB = 2 x YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A - given

Then ∠X and ∠Z are said to becomplementary angles

Since m∠Z = 90° - m∠X -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5 seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0

2 years ago

You can buy 20 fluid ounces of shampoo for $4.40 or, you can buy 24 fluid ounces for $4.80 which is the better buy? Please answe

erica [24]

Answer: the 20 fluid ounces is better

Step-by-step explanation:

If you divide 20 by 4.40 that is 4.54 but if you divide 24 by 4.80 that is 5. You want to divide 20 by 4.40 because 20 is the fluid ounces and 4.40 is the money divide that to get the cost per fluid ounce then you do the same with the 24 fluid ounces and by doing that you get the sot for 1 fluid ounce then look at both of your answers and see which one is less. which one is less is the better one.

8 0

3 years ago

If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?

andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

$^nC_k=\frac{n!}{k!(n-k)!}$

in our given question, n= 7, k= 4

Putting values:

$^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35$

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Keywords: Probability

Learn more about Probability at:

#learnwithBrainly

7 0

3 years ago

Nick can run the 440 yard dash in 55 seconds, and Jack can run it in 88 seconds. How great a handicap must Nick give Jack for th

Zepler [3.9K]

Jack --> 440 = rate * 88Jack --> 5 yrds/sex = rateJack in 55 seconds --> distance = 5 * 55 = 275 yrds440 - 275 = 165 yards handicap.

8 0

3 years ago