Please help! Write an equation, then solve for x

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:

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:

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Answer:

answer is ABCD

Step-by-step explanation:

I took the quiz

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.

Answer:

36.5625

Step-by-step explanation:

so, if it decays at a rate of 7.5% every 2 days, and we have 234 hours, we do the following, 234/24, since there are 24 hours in a day, that gives us 9.75, "7.5% every 2 days" so we do this, 9.75/2 = 4.875

4.875 * 7.5 = 36.5625

i migt be wrong, but i'm pretty sure this is the answer, i'm not saying this is the answer like some people do, please let me know if i'm wrong.

Answer:

3897.77

Step-by-step explanation:

Decays 7.5%→r=0.075 (divide by 100)

Decays every 2 days: exponent of  t/2

(where t is in days)

function- f(t)=5700(1−0.075) ^t/2

234 hours→234/24→9.75 days

Plug in t=9.75

f(9.75)=5700(1−0.075)  ^9.75/2

3897.76635734  

≈3897.77

Answer:

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

Step-by-step explanation:

ez

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:

17

Step-by-step explanation:

by the Pythagorean theorem;

8x8 + 15x15 = 289

and the root of 289 is 17

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:

Yes, it is

Step-by-step explanation:

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

Answer:

First term   = 162.

Step-by-step explanation:

a27 = a1   - 11 (27 - 1)

= a1 - 286

So a1 - 286 =  -124

a1 = 162.

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:

Combination

Step-by-step explanation:

Answer:

This would be a Permutation.

Answer:

1/6

Step-by-step explanation:

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

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:

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. Yes

2. No

Step-by-step explanation:

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:

6.38

Step-by-step explanation:

because if the other one 6.3 that means 6.30

Answer:

120

Step-by-step explanation:

180(6-2)/6

Answer:

24

Step-by-step explanation:

Since the triangle is isosceles and the bisector is perpendicular, SV= VU

2b= b+24

b=24

Answer:

1. F

2. (2,2)

3.  points P and E

Step-by-step explanation:

Answer:

34 Units ^2

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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:

$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