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The height of the altitude h is 18 cm.

Altitude is the vertical height of an object above some chosen level.

To calculate the length of the altitude h, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the right option  is D. 18 cm.

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Answer:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

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Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

a^2+2^2=7^2

a^2+4=49

a^2=49-4

a^2=45

a=[tex]\sqrt{45}[/tex]

a=3[tex]\sqrt{5}[/tex]

a=6.7

Answer:

the total payment need to pay is $525

Step-by-step explanation:

Given that

The amount at promissory note issued is $500

The rate of interest is 10%

And, the time period is 180 days

So, the total payment included is

= $500 + ($500 × 10% × 180 days ÷ 360 days)

= $500 + $25

= $525

hence, the total payment need to pay is $525

Answer:

- 4 1/3 < - 1 3/4

Step-by-step explanation:

The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4

Answer:

The choose (A)

A- (x+3)²+(t+5)²=16

Answer:

A (x + 3)^2 + ( y + 5 )^2 = 16

Step-by-step explanation:

The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2

                                                            ( h , k ) represent the coordinates

                                                              r represents the radius

Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2

2 negatives make a positive

So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16

You also need to make sure you square the radius

A. low unemployment

I hope this answer helps you...

Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

Given:

A vector from (-3.7,2) to (-4, -5).

To find:

An ordered pair that represents the vector

Solution:

If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)[/tex]

A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]

Therefore, the correct option is b, i.e., (-0.3,-7).

Answer:

free

Step-by-step explanation:

points .-.

Step-by-step explanation:

angle 6 = 61° (definition of vertical angles)

angle 3 = 61° (definition of alternate interior angles)

angle 1 = 61° (definition of vertical angles)

angle 7 = 119° (definition of supplementary angles)

angle 5 = 119° (definition of supplementary and vertical angles)

angle 4 = 119° (definition of consecutive interior angles)

angle 2 = 119° (definition of vertical angles)

Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

12x3=36

36÷2=18

Answer:

B

Step-by-step explanation:

This is pretty self explanatory and easy..

Answer:

4 meters

Step-by-step explanation:

Assuming that the garden is a rectangular garden, its area would be length ×width.

Let the length be L meters and the width be W meters.

Area= L ×W

48= LW -----(1)

Given that the length is 3 times the width,

L= 3W -----(2)

Substitute (2) into (1):

48= 3W(W)

3W²= 48

Divide both sides by 3:

W²= 48 ÷3

W²= 16

Square root both sides:

[tex]W = \sqrt{16} [/tex]

W= 4 (reject negative as width cannot be a negative number)

Thus, the width of the garden is 4 meters.

Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

Given that;

8 bags of grapes cost $20.00

First, we find how much each bag of grape cost

8 bags = $20.00

1 bag = x

x = $20.00 / 8

x = $2.5

Now, if 1 bag of grapes cost $2.5

3 bags of grapes will cost y

y = 3 ×$2.5

y = $7.5

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

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Answer:

C 70

Step-by-step explanation:

since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.

remember, the sum of all angles in a triangle is always 180 degrees.

so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore

y = 180 - 90 - 20 = 70

Answer:

[see below]

Step-by-step explanation:

[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

plug in what = x and y in the parenthisis

so that would be 3(2+7)

you do what is in the parentheisis first 2+7= 9

then you multiply  3*9=  27

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

Answer:

1 mile in 15 minutes

Step-by-step explanation:

Simply divide 120  by 8

120/8=15

Answer:

10 Sorry if wrong!

Step-by-step explanation:

40×0.25=10

Answer:

25/100 x 40 = 10

Step-by-step explanation:

The keyword 'of' means multiplication

Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.

Answer:

60000 points per game

Step-by-step explanation:

Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game​.

Solution:

Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.

Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:

Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game

Answer:

$5 for a dog treat

$3 for a cat treat

Step-by-step explanation:

week 1: 6d + 4c = 42

week 2: 2d + 7c = 31

*used calculator & guessed what each treat costs*

WEEK 1:

6(5) + 4(3) = 42

30 + 12 = 42

42 = 42

WEEK 2:

2(5) + 7(3) = 31

10 + 21 = 31

31 = 31

Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

24/48,  20/48,  18/48,  17/48

==========================================================

Explanation:

1/3 = 0.333 approximately

2/3 = 0.667 approximately

We're looking for values between 0.333 and 0.667

We can rule out choice A because 1 doesn't fit the description.

Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667

--------------------------

Choice B works because all the decimals shown below are between 0.333 and 0.667