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3 years ago

Worth 14 points please help I need a expert

Mathematics

1 answer:

lesantik [10]3 years ago

4 0

Answer:

x=13

Step-by-step explanation:

we can guess that the three angles are a linear pair and equal 180

in this case we can start writing a equation

x+105+62=180

now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.

x+167=180

now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer

180-167=13

so... x=13

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The length of a rectangle is 3 cm less than twice its width if the perimeter of the rectangle is 18 cm find its dimensions

mestny [16]

Answer:

let width be x

Step-by-step explanation:

2x-6+3+2x-6+3=18

4x+6=18

4x=18-6

4x=12

x=12/4

x=3

3 0

3 years ago

PLEASE HELP !!!!!!!!!!!!

Snowcat [4.5K]

Answer:

The ball will reach the same height of 10 meters after 100 meters.

Part A)

100 meters.

Part B)

10 meters.

Step-by-step explanation:

The golf-ball hit by the Seven-Iron is modeled by the equation:

$h=-0.002d^2+0.3d$

And the ball hit by the Nine-Iron is modeled by the equation:

$h=-0.004d^2+0.5d$

Where h is the height of the ball after d meters.

When they are at the same height, the two equations will equal each other.

Graphically, this is where the two graphs will intersect.

To solve this using a Ti-84, you can follow these steps (I'm using the Ti-84 Plus Silver Edition):

1) Using [Y=], write and then [GRAPH] the two equations.

2) Press [ZOOM] and [ZOOM OUT] until you can see both graphs clearly.

3) To find the intersection point, press [2ND] and then [CALC] (above [TRACE]).

4) Choose [5) Intersect].

5) Using the arrow keys, click on one graph to choose it as your first curve and the other to choose it as your second curve. (In this case, it doesn't matter which one is which.)

6) When it asks you to guess, put the cursor to as close to the intersection point as possible. Ignore the intersection at the origin point.

7) Press [ENTER], and it should give you your solution.

Therefore, the intersection point (not counting (0,0)) is at (100, 10).

Therefore, the ball will reach the same height of 10 meters after 100 meters.

7 0

3 years ago

Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

3 0

3 years ago

Please help me find the greatest common factor for these 2 problems..

Kisachek [45]

A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.

11. The prime factorization of 12 is 3 * 2 * 2. The prime factorization of 18 is 3 * 3 * 2. Looking at the prime factorizations, we can see that both of them have 3 and 2. That means that the GCF is 3 * 2 which is 6.

12. The prime factorization of 48 is 2 * 2 * 2 * 2 * 3. The prime factorization of 80 is 2 * 2 * 2 * 2 * 5. We see that the numbers shared are 2, 2, 2, and 2. That means that the GCF is 2 * 2 * 2 * 2 or 16.

4 0

3 years ago

Read 2 more answers

B Round your answer to the nearest hundredth. A 9 B 5

nignag [31]

Answer:

56.25°

Step-by-step explanation:

The definition of the cosine function tells you that

cos(B) = BC/BA

B = arccos(BC/BA) = arccos(5/9)

B ≈ 56.25°

8 0

3 years ago