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viva [34]
2 years ago
3

In a photograph, Alison stands next to her brother Caleb. Alison is 4 cm tall in the photograph. Her actual height is 60 in. Cal

eb is 3.2 cm tall in the photograph.
What is his actual height?
(Show your work)
Mathematics
1 answer:
Misha Larkins [42]2 years ago
8 0

Answer:

Caleb's actual height is 48 inches

Step-by-step explanation:

Alison's height in the photograph= 4 cm

Caleb's height in the photograph= 3.2 cm

Alison's actual height= 60 in

Caleb's actual height=x in

60 in= 152.4 cm

Alison's height in photograph : Her actual height = Caleb's height in photograph : his actual height

4cm : 152.4cm = 3.2cm : xcm

4 / 152.4 = 3.2 / x

Cross product

4 * x = 152.4 * 3.2

4x = 487.68

Divide both sides by 4

x= 121.92 cm

121.92 cm = 48 in

Caleb's actual height is 48 in

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Consider that 1 inch = 2.54 centimeters. Which three statements are true for converting 18 feet to centimeters?
serg [7]

Answer:

There are 548.64 cm in 18 feet.

Step-by-step explanation:

We know that, 1 inch = 2.54 centimeters.

We need to convert 18 feet to centimeters

Also, 1 foot = 12 inch

Firstly we will convert 18 feet to inch.

18 feet = 12 × 18 inch

= 216 inch

Now to convert 18 feet to centimeters, multiply 216 inch by 2.54 cm as follows :

216 inch = 2.54×216 centimeters

= 548.64 cm

Hence, there are 548.64 cm in 18 feet.

4 0
2 years ago
The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow
mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0
2 years ago
A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For th
Viefleur [7K]

Since there are 6 students out of which one needs to be selected, the principal chose two die on which there are six numbers each numbered from 1 , 2, 3, 4, 5, 6.

Since there are two dice, the total possible outcome is 36.

Hence, the probability of getting one number each is 1/36

Hence, the principal used a fair method because each result is an equally likely possible outcome.

Option B is correct.

5 0
2 years ago
Read 2 more answers
Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o
slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

<u>-x+18 -x+18</u>

<u>3x</u> = <u>42</u> Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

19

His sister is 19

5 0
2 years ago
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Adrian ordered a blue-denim jacket for $69.75 and 2 sweaters for $55 each. With 7% sales tax and shipping below, how much was hi
Leni [432]
Your answer would be A
6 0
2 years ago
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