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2 years ago

A square ceramic tile has an area of 20.25 square inches. How long is one side?!

Mathematics

2 answers:

Anna [14]2 years ago

7 0

a square's sides are all the same.

Root the area to get the measurement of one side

√20.25 = 4.5

4.5 in. is the measurement of one side.

hope this helps

marusya05 [52]2 years ago

6 0

In order to find the area of a square you simply have to square one side. Therefore, in order to go backwards to find the side length you have to square root the area. If you square root 20.25 you get 4.5 which is the length of one side. Hope this helps :)

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The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3

viva [34]

Answer:

119.45 m

Step-by-step explanation:

Given:

When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

To find:

Length of pole = ?

Solution:

Kindly refer to the attached image.

$\triangle ABC$ represents the 1st angle of elevation of sun i.e. 58°

$\triangle ABD$ represents the 2nd angle of elevation of sun i.e. 36°

Change in shadow is represented by CD = 90 m

Let height of pole, AB = $h$ m

Let side BC = $x$ m

Now, let us apply tangent rules in $\triangle ABC, \triangle ABD$ one by one:

$tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)$

$tan36^\circ = \dfrac{h}{x+90}$

Putting value of $x$ using equation (1):

$tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}$

119.45 m is the height of pole.

7 0

2 years ago

Ariel incorrectly says that 2 5/8 is the same as 2.58

Nata [24]

Answer:

ariel is incorrect because 2 5/8 is equal to 2.63

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

If 36a=45/b, then ab=

Ronch [10]

Answer:

$1.25$

Step-by-step explanation:

$let \: a = x \: and \: b = y$

$36x = \frac{45}{y}$

$36xy = 45$

$xy = \frac{45}{36}$

$xy = 1.25$

$therefore \: ab \: is \: 1.25$

4 0

2 years ago

Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a

Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

6 0

2 years ago

Terry has a number cube that is numbered from 1 to 6. She rolls the cube 50 times. Which equation can be used to predict the num

choli [55]

Answer:

Step-by-step explanation:

2/6(50)

because 2 of the 6 is greater than 4

with 50 rolls

3 0

2 years ago