please add these number togeather

Answer:

The answer is 12 cm.

Step-by-step explanation:

Verified by correct test results.

The length of the hypotenuse of the given right triangle would be 12cm.

Given is that the length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long.

The base length is the shortest distance of the right - angled triangle. We can find the hypotenuse using the cosine function as -

cos(60) = b/h

h ={b/cos(60)}

h = 6/(1/2)

h = 6 x 2

h = 12 cm

Therefore, the length of the hypotenuse of the given right triangle would be 12cm.

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Answer:

1/3

Step-by-step explanation:

2/5+2/5-7/15

=2+2/5 -7/15

=4/5-7/15

=4×3-7/15

=12-7/15

=5/15

=1/3 Ans.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]

[tex]=\frac{4}{5} -\frac{7}{15}[/tex]

[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]

Simplified:

[tex]=\frac{1}{3}[/tex]

Hope this helps

Answer:

the answer is D

Step-by-step explanation:

Answer:

81 [ft].

Step-by-step explanation:

1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;

2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:

[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]

3) if g=32, t=9/4, then the required height is:

[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]

The height of the building comes to be 81 feet.

Initial velocity u= 0 feet/sec

Final velocity v= 72 feet/sec

The acceleration due to gravity g =32ft /sec²

Height of the building h= suppose h

The equation of a motion is:

[tex]v^{2} =u^{2} +2gh[/tex]

Where u and v are the initial and final velocities.

[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]

So, the height of the building = 81 feet.

Therefore, the height of the building comes to be 81 feet.

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Answer:

12 feet

Step-by-step explanation:

3 times 4 is 12

you would multiply by 4 because of the 4 sides of the window

Here is the constructed frequency distribution table:

Number of visits   Number of students

0 - 1                            5

2 - 3                             9

4 - 5                           11

6 - 7                            5

8 - 9                            8

10 - 11                         2

A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.

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[tex] |2x - 1| = | - x - 2| [/tex]

Thus ;

[tex]2x - 1 = - x - 2[/tex]

Add both sides x

[tex]2x + x - 1 = - x + x - 2[/tex]

[tex]3x - 1 = - 2[/tex]

Add both sides 1

[tex]3x - 1 + 1 = - 2 + 1[/tex]

[tex]3x = - 1[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]

[tex]x = - \frac{1}{3} \\ [/tex]

[tex]2x - 1 = - ( - x - 2)[/tex]

[tex]2x - 1 = x + 2[/tex]

Subtract both sides x

[tex]2x - x - 1 = x - x + 2[/tex]

[tex]x - 1 = 2[/tex]

Add both sides 1

[tex]x - 1 + 1 = 2 + 1[/tex]

[tex]x = 3[/tex]

There u go ...

Answer:

  (a)  3/8x +3/8y

  (d)  5/8x -5/8y -1/4x +y

  (e)  5/8x - 1/4x + y - 5/8y

Step-by-step explanation:

An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.

__

  (x -y)(5/8) -1/4x +y

  = 5/8x -5/8y -1/4x +y . . . . . use distributive property

  = 5/8x -1/4y +y -5/8y . . . . . . reorder terms

  = (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms

  = 3/8x +3/8y

Answer:

See below ~

Step-by-step explanation:

Distance Formula

Finding the side lengths

Perimeter

Answer:

2490

Step-by-step explanation:

Individually find the area of each side of the shape then add all values

Answer:

  mode: x = 30

Step-by-step explanation:

The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.

__

If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.

Answer:

0

Step-by-step explanation:

The median of this data set is 0. To find the median, you must arrange the data points from least to greatest (which is already done in this data set), then you must locate the central number, if there is no specific central number, you find the number inbetween these two central numbers, in this case 0 and 0, which is 0.

Answer:

12, 60

Step-by-step explanation:

To solve this question, we can use a system of equations

1) x + y = 76

2) y - 3x = 12

Then, we can use the second equation to isolate y and substitute it into the second equation

y = 3x + 12

x + (3x + 12) = 76

4x + 12 = 76

4x = 64

x = 16, y = 60

Answer:

6

Step-by-step explanation:

based in

Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.

Answer:

1.65x

Step-by-step explanation:

multiply 3x107 to get 321.

multiply 5x106 to get 530.

divide 530 by 321 to get 1.65x

Answer:

9 units

Step-by-step explanation:

Line O bissects AC at its midpoint, creating a right angle. So, we know that AB is exactly 1/2 of AC.

Algebraically:

AB = AC/2

AB = 18/2

AB = 9 units

Hope this helps!

Answer:

AB = 9

Step-by-step explanation:

Perpendicular line from the center of the cirlcle to the chord bisects the chord.

AB = 18/2

AB = 9

The total amount which Todd will have after 4 years is $1,178

The total amount which Alexis will have after 4 years is $1,184

1050 + 32(4)=

1050 + 128

= $1,178.

For Alexis

(P x T x R)/100

(1050 x 4 x 3.2)/100

=13400/100

=$134 interest after 4 years.

Therefore, 1050 + 134

=$1,184.

Answer:

  9 1/2 inches

Step-by-step explanation:

The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.

__

  map distance/represented distance = 1 in/(30 mi) = x/(285 mi)

where x represents the map length of the southern border.

Multiplying by 285 mi, we have ...

  x = (285 mi)(1 in)/(30 mi) = 9.5 in

The border is 9.5 inches on the map.

Answer:

Varies - possibly not enough information

Step-by-step explanation:

How many doses per day?

Do you only need to know the amount of oz. for "today"?

Does this need to be expressed in decimal form?

If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.

Decimal form: 2-2/3 = 8/3 = 2.667 oz.  

Answer:

702 pounds

Step-by-step explanation:

9 * 78 = 702

Answer:

If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.

Step-by-step explanation:

9 x 72 = 702 pounds

Your welcome! :)

Answer:

15

Step-by-step explanation:

Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),

Based on the question, he picked an orange first and the probability of picking that is

P(O) = 12/50

Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.

The probability of picking orange then strawberry with replacement is

P(O) × P(S) = 9/125

Substitute the P(O)=12/50,

12/50 × P(S) = 9/125

P(S) = 3/10

Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.

Number of strawberry candy

= 3/10 × 50

= 15

Answer:

Step-by-step explanation:

According to the drawing we can see the lines

Answer: p=11

Step-by-step explanation:

-3(p-4) = -2p+1

-3p+12=-2p+1

+2p +2p

-p+12=1

-12 -12

(-1)-p=-11 (-1)

p = 11

Check answer:

-3(11-4)=-2(11)+1

-3(7)=(-22)+1

-21 = -21

Based on the information provided about the return trip, the train's speed on its trip south was 6.36 miles per hour.

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Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

[tex]2\pi r=72[/tex]

[tex]\frac{2*22}{7*r}=72[/tex]

[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]

[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]

[tex]11.99=12(About)[/tex]

Thus, Answer = 12

~lenvy~

The required length of the rectangle is 12/5 feet and the width is 9/5 feet.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's denote the length of the rectangle as L and the width as W.

From the problem statement, we know that:

3L = 4W (equation 1)

We also know that the perimeter P is given by:

P = 2L + 2W = 8 2/5 feet

Multiplying both sides by 5 to get rid of the fraction, we get:

10L + 10W = 42

Dividing by 2, we get:

5L + 5W = 21 (equation 2)

Now we can use equations 1 and 2 to solve for L and W.

First, we can substitute equation 1 into equation 2 to get an equation in terms of W:

5L + 15L/4 = 21

Multiplying both sides by 4, we get:

20L + 15L = 84

35L = 84

L = 84/35 = 12/5 feet

Now we can substitute the value of L into equation 1 to get the value of W:

3L = 4W

3(12/5) = 4W

W = 9/5 feet

Therefore, the length of the rectangle is 12/5 feet and the width is 9/5 feet.

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