All categories

2 years ago

Please help i’ll give brainlist :)

Mathematics

2 answers:

Snezhnost [94]2 years ago

7 0

Answer:

the value is 8

Step-by-step explanation:

Andrei [34K]2 years ago

3 0

Answer:

the value would be 8

Step-by-step explanation:

hope you have great day

You might be interested in

A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

<em><u>Let us solve the above equation by quadratic formula</u></em>

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago

A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km

Zinaida [17]

First you must make sure all measurements are in the same value: You can choose either cm or km

Distance = 1,000,000 cm or 10 km

Radius = 50 cm or 0.0005 km

Distance/(2πR)

1,000,000/(2π*50)

1,000,000/314.059…….

Approx = 3183.1 Rotations

6 0

2 years ago

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the stand

Mrrafil [7]

Y= x-11 bc...
y-1=x-12
+1 +1
y=x-11

5 0

3 years ago

A. Two orders for birthday parties come in and you are responsible for getting the order ready. Both orders ask for 192 ounces o

Colt1911 [192]

Answer:

Step-by-step explanation:

this should be easy cause the 64 is bigger, so the parts are smaller. 192 divided by 64 is 3. 192 divided by 12 is 16. multiply, Yada yada… you get 64 is better!

7 0

3 years ago

Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary.

Sonbull [250]

Answer:43.1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers