Factor completely 3x - 12. (1 point)
O a
3(x-4)
ob
3(x + 4)
Ос
3x(-12)
Od
Prime

Answer:

10.8

Step-by-step explanation:

The value of x is 5.26.

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles. The ratios used to study this relationship are called trigonometric ratios, namely, sine, cosine, tangent, cotangent, secant, cosecant.

There are basic six ratios in trigonometry that help in establishing a relationship between the ratio of sides of a right triangle with the angle. If θ is the angle in a right-angled triangle, formed between the base and hypotenuse, then

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

The value of the other three functions: cot, sec, and cosec depend on tan, cos, and sin respectively as given below.

cot θ = 1/tan θ = Base/Perpendicualr

sec θ = 1/cos θ = Hypotenuse/Base

cosec θ = 1/sin θ = Hypotenuse/Perpendicular

Given:

H= 12

angle= 26°

Using Trigonometry

sin 26 = B/ H

0.4383= x/ 12

x= 5.26

Hence, the value of x is 5.26

Learn more about Trigonometry here:

https://brainly.com/question/26719838

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Answer:

20cm^3

Step-by-step explanation:

The volume of a rectangular prism is just the 3 values multiplied by each other. So that would be 6x5x2/3 = 20cm^3

Answer:

[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]

Answer:

a) t = 2 seconds

b) 70 feet

Step-by-step explanation:

First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.

[tex]h(t) = -16t^{2} +64t+6[/tex]

To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.

[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]

Now we can substitute in v=0

This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.

[tex]0=-32t+64[/tex]

Rearrange and we get:

[tex]32t = 64\\t=2[/tex]

Ball attains maximum height at 2 seconds.

To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.

[tex]h(t) = -16t^{2} +64t+6[/tex]

[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]

The maximum height attained is 70 feet.

Hope this helped!

Answer:

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Step-by-step explanation:

Given;

[tex]\text{log}_a(2)=\frac{1}{2}[/tex]

[tex]\text{log}_a(3)=5[/tex]

By using logarithmic properties,

[tex]\text{log}_a(2)-\text{log}_a(3)=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{2}{3})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{\frac{3}{2}})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(\frac{1}{1.5})=\frac{1}{2}-5[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{1-10}{5}[/tex]

[tex]\text{log}_a(1.5^{-1})=\frac{-9}{5}[/tex]

Answer:

60

Step-by-step explanation:

5*3=15

3*3=9

4*3=12

4*3=12

4*3=12

(12*3)+9+15= 60

Answer:

i think the voulme would be 60 cm

Step-by-step explanation:

im sorry if its wrong

Answer:

Yes, it is

Step-by-step explanation:

If you look at a number line, 3 is on the postive side of the number line.

Step-by-step explanation:

amplitude is 3. so the sin will start at zero and go up to 3 and down to -3. asymptote are at 3 and -3

it's period didn't change it's 2π

it's phase shifted horizontally π/3 to the left

it's phase shifted vertically 2 units down

Answer:

1. F

2. (2,2)

3.  points P and E

Step-by-step explanation:

Answer:

34 Units ^2

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

180(6-2)/6

Answer:

$37.26

Explanation:

firstly, we find the total original price: $34 + $12 = $46.

next, we can multiply this by 100% - 25% = 75% to find the discounted price:

$46 × 75%

= $46 ÷ 100 × 75

= $34.50

finally, add on the sales tax which is 100% + 8% = 108%:

$34.50 × 108%

= $34.50 ÷ 100 × 108

= $37.26

i hope this helps! :D

Answer:

166°

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees

That being said, we can find the measure of the missing angle by subtracting the measure of the given angle by 180

(the giving angle having a measure of 14°)

so missing angle = 180 - 14

180 - 14 = 166

Hence, the measure of the second angle 166°

Answer:

2.9

Step-by-step explanation:

5% of 58

58 × 5 ÷ 100 = 2.9

Step-by-step explanation:

Convert 5% to a fraction first.

[tex]5\% = \frac{5}{100} \\ = \frac{1}{20} [/tex]

5% of 58

=

[tex] \frac{1}{20} \times 58 \\ = \frac{58}{20} \\ = \frac{29}{10} \\ = 2.9[/tex]

Answer:

1/6

Step-by-step explanation:

P(H and 3 or 6):  1/2 x 2/6 = 2/12 or 1/6

Answer:

17

Step-by-step explanation:

by the Pythagorean theorem;

8x8 + 15x15 = 289

and the root of 289 is 17

Answer:

The largest angle needed is [tex]95.1^{o}[/tex].

Step-by-step explanation:

To determine the larges angle as required, let us apply the cosine rule.

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C

Since in triangles, the longest side is opposite to the largest angle, then;

[tex]15^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos θ

225 = 64 + 144 - 192 Cos θ

225 = 208 - 192 Cos θ

192 Cos θ = 208 -225

192 Cos θ = -17

Cos θ = [tex]\frac{-17}{192}[/tex]

Cos θ = -0.08854

θ = [tex]Cos^{-1}[/tex] -0.08854

  = 95.07962

θ = [tex]95.1^{o}[/tex]

The largest angle needed is [tex]95.1^{o}[/tex].

Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

Answer:

6.38

Step-by-step explanation:

because if the other one 6.3 that means 6.30

Answer:

1. Yes

2. No

Step-by-step explanation:

Answer:

uhhh- sorry I cant see the picture :>

Step-by-step explanation:

But this guy knows the answer >:3

Cory1288 avatar

A) is 76 and B) is 180

why? bc-

cory1288 avatar

104+76=180 and a circle is 360

- Thx for the points have a nice day! ^ω^

Answer:

A. 76

B. 256

Step-by-step explanation:

DF is a diameter so that means the right side of the

circle measure 180 degrees. Angle DGE measures 104, since that the central angle that means Arc DE measures 104 also.

Using arc addition, part of the right side measure 104 so that means the remaining arc must add up to 180.

[tex]104 + x = 180[/tex]

[tex]x = 76[/tex]

Arc EF measure 76.

2. A circle has 360 degrees in it. We are asked to find the measure of the circle expect the Arc ED.

Arc ED measures 104 so

[tex]360 - 104 = 256[/tex]

Answer:

It's 35 months old and weighs 82 kilograms

The data is given in x, y, so the answer will also go in the order x, y.

Hope this helps! :)

Answer:

A, (10⁵) (10⁻²) > 8⁹/8⁶

Explanation:

A, (10⁵) (10⁻²) > 8⁹/8⁶ = 10³ > 8³ True

B, (10⁵) (10⁻²) < 8⁹/8⁶ = 10³ < 8³ False

C, (10⁵) (10⁻²) = 8⁹/8⁶ = 10³ = 8³ False

Answer:

11. Classification on basis of angles - Acute angled triangle

Classification on basis of sides - Isosceles triangle

12. Classification on basis of angles - Right angled triangle.

Classification on basis of sides - Scalene triangle

13. Classification on basis of angles - Obtuse angled triangle.

Classification on basis of sides - Isosceles triangle.

Answer:

[tex]\frac{0.2}{20}[/tex]

Step-by-step explanation:

ez

Answer:

i dont know if this is the right but i think its -5

Step-by-step explanation:

Answer:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Answer:

Option A

Step-by-step explanation:

Degree of the polynomial function = 4

That means highest degree term of the given polynomial has power = 4

If the roots of a quadratic polynomial are a, b, c, d then the polynomial function will be,

f(x) = (x - a)(x - b)(x - c)(x - d)

It's given in the question that roots are x = -2, -1, 1 and 3

Therefore, polynomial function will be,

f(x) = (x + 2)(x + 1)(x - 1)(x - 3)

From the given options, graph A shows that the graph intersects the x-axis at x = -2, -1, 1 and 3

Therefore, Option A will be the answer.