The length the height of a rectangular prism are 12 feet and 9 feet respectively. Determine the width of the rectangular prism whose surface area is 258 square feet

Answer:

Firs property used : Quotient Property

           [tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]

   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]

Second property used : Product Property

          [tex]log_b(XY) = log_bX + log_b Y[/tex]

    [tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]

Third property used : Power Property

                 [tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]

 [tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]

Fully expanded form:

                   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

Answer:its D 8 -4 = 4

Step-by-step explanation:

Answer:

y=60°

x=12°

Step-by-step explanation:

because the propertiy of parallelogram is the opposite side have equal measurement.

that is why y=60°

x+3=15 the paralla side are equal

x=15°-3°

x=12°

proof》》》》x+3=

12°+3°=15°

15°=15°

Answer:

Step-by-step explanation:

13.

 P= 19.42mm

  A= 18.32mm²

Answer:

Half of 6 is 3(new radius)

2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42

2 + 2 + 2 = 6

6 - 2 = 4

Add lengths:

9.42 + 6 + 4 = 19.42 mm is your perimeter

2 x 2 = 4

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13

Add areas:

4 + 14.13 = 18.13 mm2 is your area

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

Answer:

-6

Step-by-step explanation:

- 28 – 6b= 8

step 1 add 28 to each side

-28 + 28 cancels out

28 + 8 = 36

we now have -6b = 36

step 2 divide each side by -6

-6b / -6 = b

36 / -6 = -6

we're left with b = -6

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]b=-6[/tex]  

»»————-　★　————-««  

Here’s why:  

We will have to preform inverse operations to solve for 'b'.

[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

y^6  or  y^13/y^7

Step-by-step explanation:

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

There are six major trigonometric functions as -

We can write the relation between them as -

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

https://brainly.com/question/30672622

#SPJ7

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

Answer:

It should be 25.

Step-by-step explanation:

one Triangle is 5 times the size of the other triangle

length of 5 x 5 = 25

width of 3 x 5 = 15

Answer:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

Answer:

0.35 Not sure

Step-by-step explanation:

Answer:

3/4 and 5/8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

https://brainly.com/question/369266

#SPJ2

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

Answer:

9 /4 which equals 2 and 1/4

Step-by-step explanation:

plugged into the calculator!

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Answer:

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Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan

Answer:

Step-by-step explanation:

Here,

<BAC + <BAE = 180° [Since supplementary angles]

=> 52° + <BAE = 180°

=> <BAE = 180° -52°

=> <BAE = 128° (Ans)

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add

Answer:

Step-by-step explanation:

Answer:1630.9 cm

v=4/3πr^3

radius =9.2

Plug in

4/3π(9.2)^3

3261.76066-

Volumenof hemisphere Half of volume of spehere

3261.76066698/2

=1630.9 cm^3

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.