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Answer:

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The surface area of the right cone is,

⇒ 339 units²

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Radius of right cone = 6 units

Slant height of right cone = 12 units

Now, We know that;

The formula for the total surface area of a right cone is,

⇒ T. S. A = πrl + πr²

Hence, We get;

The surface area of the right cone is,

⇒ 3.14 × 6 × 12 + 3.14 × 6²

⇒ 226.08 + 113.04

⇒ 339.1

⇒ 339 units²

Thus, The surface area of the right cone is,

⇒ 339 units²

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Given :

Δ  Area of the Triangle is 96 square units

Δ  Height of the Triangle is 9.6 units

We know that:

[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base \times 9.6 = 96}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base = \dfrac{96}{9.6}}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base = \dfrac{960}{96}}[/tex]

[tex]\implies \sf{\dfrac{1}{2} \times Base = 10}[/tex]

[tex]\implies \sf{Base = 20 \ units}[/tex]

Answer:

5x+3y=12

x-7y=10

first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y

5x+3y=12

5x-35y=10

_________

38y = -38

y = -1

to find the x value substitute to any equations it can be the 1st or 2nd

5x+3(-1)=12

x = 3

Answer:

x=10

Step-by-step explanation:

6(x+2)=8(x-1)

x=10

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]8(x−1)=6(x+2)[/tex]

[tex]8x−8=6(x+2)[/tex]

[tex]8x−8=6x + 12[/tex]

[tex]2x−8=12[/tex]

[tex]2x=12+8[/tex]

[tex]2x=20[/tex]

[tex]x = 10[/tex]

Answer:

AP is the radius since it's a straight line extending from the center. CP and BP are radiuses as well

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: LET'S \: CHECK \: THE \: OPTIONS: }} [/tex]

[tex] \large \boxed{ \boxed{ \tt{☄OUR \: FINAL \: ANSWER : { \tt{ \overline{AP}}}}}} \: [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

12 cubic meters

Step-by-step explanation:

Answer:

c. (−6,−4),(−3,−3)

Step-by-step explanation:

a). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-4)

-3/ 1

= -3

b). y2 - y1 / x2 - x1

0 - (-1) / -3 - (-18)

= 1/15

c). y2 - y1 / x2 - x1

-3 - (-4) / -3 - (-6)

= 1/3

d). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-2)

3

Answer:

D

Step-by-step explanation:

ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Find the slope of answer A

1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]

 2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)

Find the slope of answer B

1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer C

1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer D

1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]

 2. This answer is perpendicular to "l" because 3 is the inverse of -3.

Answer:

y = 3x + 1

Step-by-step explanation:

first we need to find the slope

m = (y2-y1) / (x2-x1)

m = (10 - -2) / (3 - -1) = 3

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 10 = 3 ( x - 3)

y - 10 = 3x -9

y = 3x -9 + 10

y = 3x +1

Use the slope formula below (Rise Over Run)

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).

[tex] \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}[/tex]

Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)

[tex] \large{y - ( - 2) = 3(x - ( - 1))}[/tex]

We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.

[tex] \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}[/tex]

Answer

Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )

[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

Answer:

CPCTC

Step-by-step explanation:

BESTIE MY CAPS LOCK KEY IS LIKE STUCK SO YEAH

ANYWAY, THIS IS GOING TO SOUND REALLY AGGRESSIVE

SO CONGRUENT TRIANGLES HAVE 3 EQUAL SIDES AND 3 EQUAL ANGLES

THEY ARE EXACTLY THE SAME

SINCE WE KNOW ALL OF THIS AWESOME INFORMATION, NOW WE CAN THAT THE ANGLE BISECTORS WILL BE CONGRUENT BY CPCTC -

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

WE CAN USE AN EXAMPLE TO UNDERSTAND BETTER

SAY YOU HAVE 2 CONGRUENT TRIANGLES

THE ANGLES ARE 50, 60, AND 70

SAY THAT THE ANGLE BISECTORS ARE ON 60

THEY WILL BE CONGRUENT BECAUSE THEY ARE THE CORRESPONDING ANGLES OF 2 CONGRUENT TRIANGLES

BUT WHEN YOU ARE ASKED FOR A REASON, IT IS BECAUSE OF CPCTC

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

Answer:

(-1, 8)

the value of a is 8

Answer:

1.39 m

Step-by-step explanation:

sin 63 = x/13.5 (x = CD)

sin 52 = x/13.5 (x=AC)

take the difference between the two

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

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Answer:

i think it is b -8 -2

Step-by-step explanation:

Answer:

in picture

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Trust

Answer: x=3 plus or minus i square root 29 end root all over 2

Answer:

f(7) = -4

Step-by-step explanation:

f(7) means f(x) when x = 7. The x is replaced with 7.  

So we'll replace every x with 7 to go from x = 7 to 3 - x = 3 - 7 = -4  

Put in another way:

f(x) = 3 - x

f(7) = 3 - 7

f(7) = -4

Answer:

192

Step-by-step explanation:

The ratio of pineapple to tomato to cherry is 3 to 5 to 4.

That means for some number x,

we have 3x pineapple, 5x tomato, and 4x cherry.

We are asked to find the total number which is 3x+5x+4x which is equal to 12x.

We are given that there are 80 tomato and we also have 5x tomato. These two expressions are therefore equal and we need to solve 80=5x which leads to x=80/5=16.

So the total amount is 12x=12(16)=192.

Answer:

Most of the question is missing. If you could type out the rest, we might be able to help you.

Answer:

133,300

Step-by-step explanation:

3100 x 43 = 133,300

Answer: 133,300

Step-by-step explanation: 3100 x 43= 133300

Given:

In [tex]\Delta QRS, \overline{QR}\cong \overline{SQ}[/tex] and [tex]m\angle Q=114^\circ[/tex].

To find:

The [tex]m\angle S[/tex].

Solution:

In [tex]\Delta QRS[/tex],

[tex]\overline{QR}\cong \overline{SQ}[/tex]

It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.

[tex]\angle R\cong \angle S[/tex]      [Base angles of isosceles triangle QRS]

[tex]m\angle R=m\angle S[/tex]            ...(i)

In [tex]\Delta QRS[/tex],

[tex]m\angle Q+m\angle R+m\angle S=180^\circ[/tex]

[tex]m\angle Q+m\angle S+m\angle S=180^\circ[/tex]        [Using (i)]

[tex]114^\circ+2m\angle S=180^\circ[/tex]

[tex]2m\angle S=180^\circ-114^\circ[/tex]

[tex]2m\angle S=66^\circ[/tex]

Divide both sides by 2.

[tex]m\angle S=\dfrac{66^\circ}{2}[/tex]

[tex]m\angle S=33^\circ[/tex]

Therefore, the [tex]m\angle S[/tex] is 33 degrees.

9514 1404 393

Answer:

  BE = 5 cm

Step-by-step explanation:

Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.

The length of segment BE can be found from the proportion ...

  BE/DE = AB/CD

  BE = DE·AB/CD = (4 cm)(10/8)

  BE = 5 cm

Answer:

area =length× width

32 =length×4.

length=8 feet