All categories

3 years ago

Jorge is designing a square poster. the poster has an area of 169in^2.what is the length of each side?

2 answers:

7 0

$Let \: the \: side \: of \: the \: poster \: be \: x\: (x>0) \\ \Rightarrow {x}^{2} = 169\Leftrightarrow x = 13 \\ \Rightarrow B. \: 13$

erik [133]3 years ago

7 0

Answer:

B. 13 inches

Step-by-step explanation:

We are given that,

The area of the square poster = 169 in²

it is required to find the length of the sides.

Now, we know,

<em>Area of a square = $(Side)^2$ </em>

i.e. $169=(Side)^2$

i.e. Side = ± 13 inches

As the length of the square cannot be negative.

Thus, the length of each side is 13 inches.

So, option B is correct.

You might be interested in

If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)?

erastovalidia [21]

I hope this helps you

3 0

3 years ago

The water level of a lake has been increasing each year. The initial water level of the lake was 800 meters, and the water level

ivanzaharov [21]

2x=5x1800+1500(56-7)

7 0

4 years ago

The general form of the equation of a circle is x2+y2−4x−8y−5=0.

valentina_108 [34]

Answer:

centre = (2, 4)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 4x - 8y - 5 = 0

Rearrange the x/y terms together and add 5 to both sides

x² - 4x + y² - 8y = 5

Use the method of completing the square on both the x/y terms

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16

(x - 2)² + (y - 4)² = 25 ← in standard form

with centre (2, 4) and r = $\sqrt{25}$ = 5

4 0

3 years ago

Use the data set to answer the question.

Liono4ka [1.6K]

Answer:

Yes

Step-by-step explanation:

because if you add that and then you subtract that you get that answer

6 0

3 years ago

Read 2 more answers

Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45

Vikki [24]

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

$Mean_{new}=Mean_{old}+k$

Here $Mean_{old}$ is 109 and k is 25 thus

$Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134$

Similarly

$Median_{new}=Median_{old}+k$

Here $Median_{old}$ is 104 and k is 25 thus

$Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129$

Also

$Mode_{new}=Mode_{old}+k$

Here $Mode_{old}$ is 96 and k is 25 thus

$Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121$

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

$Range_{new}=Range_{old}\\Range_{new}=45$

Similarly

$Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6$

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

4 0

3 years ago