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ddd [48]
2 years ago
12

two and a half times a number plus six is equal to three times the same number plus four and a quarter​

Mathematics
1 answer:
Daniel [21]2 years ago
8 0

Answer:

2(1/2)x + 6 = 3x + 4(1/4)

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A rectangle has two side lengths of 8 inches and two side lengths of 10 inches. What is the perimeter of the rectangle?
Ronch [10]
The perimeter is 36
8+8=16
10+10=20
20+16=36
7 0
3 years ago
Read 2 more answers
I need help with this please!!!
Andru [333]

Answer:

U = \frac{TE}{3}

Step-by-step explanation:

Given

T = \frac{3U}{E}

Multiply both sides by E to clear the fraction

TE = 3U ( divide both sides by 3 )

\frac{TE}{3} = U

5 0
3 years ago
Find endpoint with given endpoint and midpoint
TEA [102]

Answer:

(21, 17 )

Step-by-step explanation:

Using the midpoint formula and equating to the coordinates of the midpoint.

Let endpoint 2 have coordinates (x, y ), then

0.5(x - 3) = 9 ( multiply both sides by 2 )

x - 3 = 18 ( add 3 to both sides )

x = 21

and

0.5(y - 5) = 6 ( multiply both sides by 2 )

y - 5 = 12 ( add 5 to both sides )

y = 17

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3 0
3 years ago
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
What Is the best way to describe an inequality?
andrew11 [14]

Answer:

Social inequality is the existence of unequal opportunities and rewards for different social positions or statuses within a group or society. Let's examine some causes and effects of poverty and test our knowledge with a quiz.

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