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Black_prince [1.1K]

3 years ago

6

What is -9(5 − 6x) simplified?

2 answers:

Luda [366]3 years ago

6 0

here's your answer : -45 + 54x

miss Akunina [59]3 years ago

3 0

Answer:

54x - 45

Step-by-step explanation:

-9(5-6x)

Distribute by multiplying

-9 x 5 + -9 x 6x

Simplify

54x - 45

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Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by

fiasKO [112]

$\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy$

Converting to cylindrical coordinates, the integral is equivalent to

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)$
$=\dfrac{2\times7^3}3=\dfrac{686}3$

4 0

3 years ago

5. If the tree's circumference is 141.3ft, what is its diameter?

BigorU [14]

Answer:

d ≈ 45 ft

General Formulas and Concepts:

<u>Symbols</u>

π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Geometry</u>

Circumference of a Circle Formula: C = πd

Step-by-step explanation:

<u>Step 1: Define</u>

Circumference <em>C </em>= 141.3 ft

<u>Step 2: Solve for </u><em><u>d</u></em>

Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
Substitute in π (approximation): 141.3 ft ≈ 3.14d
[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
Rewrite: d ≈ 45 ft

7 0

3 years ago

Read 2 more answers

Please help me with question 2

WARRIOR [948]

Answer:

sin(-a)= -15 /17

Step-by-step explanation:

Alright, lets remember that sin(x) is odd function, which means that

wherever you watch an expression like this: sin(-a), you can use the odd functions property, and turn it like the following

sin(-a)= - sin(a)

Now, other thing to remember: $(sin(x))^{2}+(cos(x))^{2}=1$

So, we can obtain any value for sin(x) function starting from the opposite function, cos(x), using the following:

$sin(x)=\sqrt{1-(cos(x))^{2} }$

So, if cos(a)= - 8 / 17, using the above equation we obtain the value for sin(a)

$sin(a)=\sqrt{1 - (cos(a))^{2} } = \sqrt{1 - ( \frac{8}{17} )^{2} }= \sqrt{\frac{225}{289} } =15/17$

Using the odd function property, we get the following result

sin(-a)= - sin(a) = -15/17

6 0

3 years ago

Does someone mind helping me with this? Thank you!

zalisa [80]

$\qquad\qquad\huge\underline{{\sf Answer}}$

The given two polygons are similar to one another ~

Sides of the given polygons are in ratio of :

$\qquad \sf \dashrightarrow \: 28 : 4$

to put in simple Ratio ~

$\qquad \sf \dashrightarrow \: 7: 1$

So, the sides of the larger polygon are :

4 × 7 = 28

6 × 7 = 42

3 × 7 = 21

4 × 7 = 28

7 × 7 = 49

3 × 7 = 21

3 × 7 = 21

4 × 7 = 28

Now, to find the Perimeter of larger polygon ~ add the side length of all sides :

$\qquad \sf \dashrightarrow \:p = 28 + 42 + 21 + 28 + 49 + 21 + 21 + 28$

$\qquad \sf \dashrightarrow \:238 \: \: units$

6 0

3 years ago

Find the angle between the given vectors to the nearest tenth of a degree.

FromTheMoon [43]

The answer is 16.0 but I’m not entirely sure

6 0

4 years ago