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Umnica [9.8K]
3 years ago
15

How are percent diagrams used to solve real-world problems

Mathematics
2 answers:
ddd [48]3 years ago
4 0

Answer:

Percent diagram helps to display information, making it easier to solve for what is missing.

A diagram is a way to help your brain process a lot of information at once. It is a visual planning tool that takes some of the pressure off of remembering every single detail. Sometimes we have hard questions that require sifting through a lot of information to figure them out.

<em>This type of chart or diagram gives a quick, easy way to see how a whole is divided into its constituent parts.</em>

fgiga [73]3 years ago
3 0
<span>One fourth of the students in Mrs. Singh’s music class chose a guitar as their favorite musical instrument. There are 24 students in Mrs. Singh’s music class. How many students chose a guitar as their favorite musical instrument? There are students in Mrs. Singh’s music class. Divide the number of students equally into 4 sections. Fill in the number in each section students % ---- %--- So, students chose guitar as their favorite musical instrument. </span>
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Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, an
Natasha_Volkova [10]

Answer:

The volume of the solid is 243\sqrt{2} \ \pi

Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

0 ≤ x² + y² + z² ≤ 81

0  ≤ ρ²   ≤   81

0  ≤ ρ   ≤  9

The intersection that takes place in the sphere and the cone is:

x^2 +y^2 ( \sqrt{x^2 +y^2 })^2  = 81

2(x^2 + y^2) =81

x^2 +y^2 = \dfrac{81}{2}

Thus; the region bounded is: 0 ≤ θ ≤ 2π

This implies that:

z = \sqrt{x^2+y^2}

ρcosФ = ρsinФ

tanФ = 1

Ф = π/4

Similarly; in the X-Y plane;

z = 0

ρcosФ = 0

cosФ = 0

Ф = π/2

So here; \dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}

Thus, volume: V  = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4}  \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho   ^2 \ sin \phi \ d\rho \   d \theta \  d \phi

V  = \int \limits^{\pi/2}_{\pi/4} \ sin \phi  \ d \phi  \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho   ^2 d\rho

V = \bigg [-cos \phi  \bigg]^{\pi/2}_{\pi/4}  \bigg [\theta  \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3}  \bigg ]^{9}_{0}

V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]

V = 243\sqrt{2} \ \pi

4 0
3 years ago
Use the quadratic formula to solve the equation x2+7x​
monitta

The solution of the equation x2+7x​ is 0, -7 using the quadratic formula.

Step-by-step explanation:

x2 + 7x = 0

-b  ± √ b2 - 4(ac)/ 2a

substitution,

a = 1, b = 7, c = 0

= -7  ± √(7)2 - 4(1 x 0) / 2 x 1

= - 7   ± 7 / 2

x = 0 , -7

4 0
3 years ago
3q+4+9=-14 <br> what is Q
BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0
3 years ago
What is h(-2)<br> H(-1.75)<br> H(1)
ruslelena [56]

h(x)=\left\{\begin{array}{cccc}-2&if&-2\leq x

3 0
3 years ago
A Store has 8 fish tanks that each have 40 liters of water. What is the total number of liters of water in all of the fish tanks
svetoff [14.1K]

Answer:

320 liters

Step-by-step explanation:

Each tank = 40 liters

8 tanks = 40 × 8 = 320

3 0
3 years ago
Read 2 more answers
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