Write 23/12 as a mixed number.

In the given polygon-

>>Two of the angles are of 90⁰

The sum of all angle in n-sided polygon is given by -

[tex]\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}[/tex]

Here number of sides,n = 8

So ,the sum of all angle = [tex]\sf (8-2)\times 180[/tex]

[tex]\sf \implies 6 \times 180[/tex]

[tex]\sf \implies 1080 \degree[/tex]

>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of [tex]\theta[/tex] only.

[tex]\implies \sf 1080- 2\times 90[/tex]

[tex]\implies \sf 1080- 180[/tex]

[tex]\implies \sf 900 \degree [/tex]

Now, Sum of remaining 6 angles = 6[tex]\theta[/tex]

Also, 6[tex]\theta[/tex] = 900⁰

[tex]\theta = \dfrac{900}{6}[/tex]

[tex]\theta = 150 \degree[/tex]

Answer:

heya ^^

let's first see what the question says -

so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.

while , rest of the angles have been named [tex] \bold{\theta }[/tex] and this thing clears that all the other angles are of equal measure.

now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.

therefore ,

[tex]\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}[/tex]

therefore ,

option ( D ) θ=150 is correct.

hope helpful :D

The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)

Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.

The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.

Learn more about inequalities at:

https://brainly.com/question/24372553

Answer:

No solutions.

Step-by-step explanation:

4x+8y=-11    (1)

X+2y=-7

Mutiply the second equation by -4:

-4x - 8y = 28

Now add this equation to equation (1):

0 + 0 = 17

which is absurd

So there are no solutions

Answer:

254.34 in²

Step-by-step explanation:

Assuming that the shape is a circle,

area of circle= πr², where r= radius.

Given that the diameter is 18 in,

radius= diameter ÷2

radius= 18 ÷2

radius= 9 in

Let's substitute r= 9 and use 3.14 as the value of π:

Area of circle

= 3.14(9²)

= 3.14(81)

= 254.34 in²

Answer:

56.52 cm

Step-by-step explanation:

Since the circular base has radius of 9 cm. Therefore the base’s circumference is:

[tex]\displaystyle \large{C=2\pi r}[/tex] where r is radius and C is circumference.

Input r = 9 in:

[tex]\displaystyle \large{C=2\pi \cdot 9}\\\displaystyle \large{C=18\pi}[/tex]

Since π is given to be 3.14:

[tex]\displaystyle \large{C=18\cdot 3.14}\\\displaystyle \large{C=56.52}[/tex]

Therefore, the base’s circumference is 56.52 cm

Answer:

Step-by-step explanation:

In this question we have given that radius of circular base of table lamp is 9 cm . And we are asked to find the circumference of base that means we have to find the circumference of circle .

We know that :

[tex]\qquad\underline{\boxed{\frak{{Circumference_{(Circle)} = 2\pi r }}}}[/tex]

Where ,

Solution : -

Now we are finding the circumference of circle by putting value of radius as 9 and value of π as 3.14 in the formula .

[tex] \longrightarrow \qquad \: 2 \times 3.14 \times 9[/tex]

[tex] \longrightarrow \qquad \:6.28 \times 9[/tex]

[tex] \longrightarrow \qquad \: \orange{\underline{\boxed{\frak{56.52 \: cm}}}}[/tex]

Answer:

[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]

Step-by-step explanation:

48 = 3 × 16

75 = 3 × 25

_________

Then, a Complete factorization of 48x² - 75 is :

[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]

_____________________

Now let’s solve our equation 48x² - 75 = 0

48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0

[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]

Answer:

4.5 minutes or 36/8 minutes or 9/2 minutes

Step-by-step explanation:

So we simply find 3/8 of 12 by multiplying:

[tex]\frac{3}8} \times 12[/tex]

This gives us 36/ 8

Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.

Hope this helpss!!!

Answer: B

Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.

Answer:

base is root66 ft and height is 4root66 ft

Step-by-step explanation:

see the picture for full solution

Answer:

The function is even

good luck

Answer :

59+55+854+456+456+7894=9,774

Answer:

2(8-d)

Step-by-step explanation:

Because it says 2 times the difference this means the difference will be multiplied by 2. It also says difference which means that 8 and d must be subtracting

Answer:

50%

Step-by-step explanation:

Step one:

By convention, the dimension of a shape is described as

Lenght first, followed by width

Hence

lenght = 4 in

Width = 6 in

Step two:

Therefore, to achieve a new width of 3 in, the initial width must be divided by 2, which is a 50% reduction.

3/6*100

0.5*100

=50%

Answer:its 75 percent

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a²-2ab+b²)=(a-b)²

a²+2ab+b²=(a+b)²

i solve b and d

(b)

9x²-36x+36=0

(3x)²+2×3x×-6+(-6)²=(3x-6)²

(d)

a²-b²=(a+b)(a-b)

4x²-81=0

4x²-81=(2x)²-9²=(2x+9)(2x-9)

Answer:

47°

Step-by-step explanation:

All trianges have a angle total of 180°.

Assuming the triangles are equals:

72+61+x=180

x=47

Answer:

4

Step-by-step explanation:

Answer: a= 24 , B is 13

Step-by-step explanation:

A + B = 37

A = B +21

The volume of the three-dimensional figure formed if the  two-dimensional figure is rotated 360 degrees is 37.70 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the three dimensional shape is:

Volume = volume of cylinder + volume of cone =  (π(2²) * 2) + [(1/3) * π * (2²) * 3] = 37.70 in³

The volume of the three-dimensional figure formed if the  two-dimensional figure is rotated 360 degrees is 37.70 in³

Find out more on volume at: https://brainly.com/question/12410983

Hi!

If a graph has no solutions, the lines will be parallel.

Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.

If a graph has infinite solutions, the lines will be the same.

If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.

SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS

Explanation:

No solution:

Infinitely many solutions:

Answer:

Step-by-step explanation:

if both increases the volume also increase as the same i.e.

twice length and twice radius = twice the volume of wax

Answer: 15 months

Step-by-step explanation:

Answer:

Parallel lines 1

perpendicular lines -1

Step-by-step explanation:

2x-2y = -6

Solve for y to get it in slope intercept form

-2y = -2x-6

Divide by -2

y = x+3

This is slope intercept form y = mx+b  where m is the slope

Parallel lines have the same slope

A parallel line would have a slope of 1

Perpendicular lines would have a slope that is a negative reciprocal

-1/1

Perpendicular lines would have a slope of -1

Let us first put it into slope-intercept form ⇒ [tex]y = mx + b[/tex]

To put it into that format, we need to simply put y on one side of the equation and the rest on the other side

    [tex]2x - 2y =-6\\-2y = -2x -6\\y = x +3[/tex]

What do we want to find first ⇒ a line parallel to the original line

          [tex]y = x +5[/tex]

What do we also want to find ⇒ a line perpendicular to the original line

         ⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1

            ⇒ so an example is

                     [tex]y = -x + 3[/tex]

Answer:

Hope that helps!

Answer:

add all the sides that you have and subtract it from 180

Step-by-step explanation:

Answer:

4m -2m + 3

2m + 3

is the answer

Answer:

Step-by-step explanation:

Solve the problem by combining like terms.

Distribute the terms accordingly.

Distributive property:

⇒ A(B+C)=AB+AC

First, combine like terms.

→ 4m-2m+3

Solve.

Add the numbers from left to right.

→ 4m-2m=2m

Rewrite the problem down.

→ 2m+3

I hope this helps you! Let me know if my answer is wrong or not.

Answer: 55 cents

Step-by-step explanation:

3.70-1.50 is 2.20

2.20÷4 because she bought 4 cardstocks is 0.55 cents

Given Information :-

⠀

A rectangular prism, with dimensions,

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf Volume = l \times b \times h }}} \: \star[/tex]

⠀

Here, we have already been provided with the base area that is the value of the product of length and breadth. Now, we just have to multiply the base area by height.

⠀

Solution :-

⠀

[tex] \sf : \implies Volume =14 \: {in}^{2} \times 7 \: {in}^{} \\ \\ \\ \sf : \implies Volume = \underline{ \boxed{ \frak{ \orange{ {98 \: in}^{3} }}}} \: \star \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the volume of the rectangular prism is 98 m³.

⠀

[tex] \underline { \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

98

Step-by-step explanation:

14 x 7=98