Find the volume of a right circular cone that has a height of 13.8 ft and a base with a radius of 7.8 ft. Round your answer to the nearest tenth of a cubic foot.

Answer:

(-1, -3)

Step-by-step explanation:

The given equations are:

[tex]-4x-7=y ...... (1)[/tex]

and

[tex]x^2 - 2x - 6 = y ....... (2)[/tex]

Equating (1) and (2):

[tex]-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1[/tex]

The two values of x are repeating in nature i.e. x = -1

So, value of [tex]x[/tex] is -1.

Putting value of [tex]x[/tex] in equation (1):

[tex]-4 \times (-1)-7=y \\\Rightarrow y=-3[/tex]

The solution is represented as ([tex]x,y[/tex])

So, the solutions are :

(-1, -3)

Answer:

2

Step-by-step explanation:

give brainliest

Answer:

8

Step-by-step explanation:

4+4

6-6+8

Answer:

120%

Step-by-step explanation:

Because the answer is 1 1/5 that converted to a percentage(%) is 120%.  

9.53% people between the age 30 to 44 rated the movie as excellent.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

According to the given question.

We have a data of people of different ages who rated the movie as excellent, Average, and poor.

Now,

Total number of people between the age 30 to 44 who rated the movie excellent is 33

And, the total number number of people who watched the movie is 346.

Therefore, the percentage of people who are in between 30 to 44 and  rated the movie as excellent is given by

[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]

[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]

Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.

Find out more about percentage here:

https://brainly.com/question/14699403

#SPJ3

Answer:

24x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I did the edu test hope this helps♡

Answer:

17/100*85= $14.45

Step-by-step explanation:

Divide by 100 and multiply by (100-15) 85 to get the result.

Answer:

25.12

Step-by-step explanation:

C = 2*3.14*4

C = 8*3.14

C = 25.12

Answer:

C =25.12 cm

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

C = 2 * 3.14 * 4

C =25.12 cm

Answer:

C = 10 π cm

Step-by-step explanation:

Diameter is 2 x radius = 2*5.4 = 10.8 cm

radius r = 5 cm

diameter d = 10 cm

circumference C = 31.4 cm

area A = 78.5 cm2

In Terms of Pi π

circumference C = 10 π cm

area A = 25 π cm²

Formulas: Circle Formulas in terms of Pi π, radius r, and diameter d

Radius and Diameter:

r = d/2

d = 2r

Area of a circle:

A = πr2 = πd2/4

Circumference of a circle:

C = 2πr = πd

Answer:

c

Step-by-step explanation:

got it right on my test

Answer:

[tex]=-\left(3x-1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)[/tex]

Answer:

D

Step-by-step explanation:

Two lines are perpendicular when the product of their slopes = - 1

line 1: y = 3x + 4

(3 , 0)  ; (-3,2)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]

Slope of line 1 = 3

Slope of line 2 = -1/3

3* -1/3 = -1

Answer:

im sorry but you just need a chill pill

Step-by-step explanation:

Answer:

3 to the power of 8 / 5

Step-by-step explanation:

Answer:

2/5.

Step-by-step explanation:

1/4 / 5/8

= 1/4 * 8/5

= 1*8 / 4*5

= 8/20

= 2/5.

Answer:

401.92

Step-by-step explanation:

Bases: 2(4^2 π)=32π

Curved Surface: 12*(2*4π)=96π

96π+32π=128π=128(3.14)≈401.92

Answer:

[tex]=-3[/tex]

Step-by-step explanation:

[tex]\left(-3\right)^3+\left(-4\right)^2-\left(-2\right)^3\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:exponents}\:\left(-3\right)^3\::\quad -27\\\left(-3\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-3\right)^3=-3^3=-27\\=-27+\left(-4\right)^2-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-4\right)^2\::\quad 16\\\left(-4\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-4\right)^2=4^2=16\\=-27+16-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-2\right)^3\::\quad -8\\\left(-2\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-2\right)^3=-2^3=-8\\=-27+16-\left(-8\right)\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-27+16-\left(-8\right)\::\quad -3\\-27+16-\left(-8\right)[/tex]

[tex]-27+16=-11\\=-11-\left(-8\right)\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-8\right)=+8\\=-11+8\\-11+8=-3\\=-3[/tex]

Answer:

  4 cm

Step-by-step explanation:

You want the length of the smaller of two similar pieces of cardboard when the larger has an area of 150 cm² and a length of 10 cm, while the smaller has an area of 24 cm².

The scale factor for lengths is the square root of the scale factor for areas. It will be ...

  √(24/150) = 0.4 . . . . . . = smaller / larger

The smaller cardboard has a length of ...

  0.4 × 10 cm = 4 cm

__

Additional comment

Sometimes folks like to write this as a proportion:

  [tex]\dfrac{\text{smaller length}}{\text{larger length}}=\sqrt{\dfrac{\text{smaller area}}{\text{larger area}}}[/tex]

Solving this for "smaller length" gives the expressions we used above:

  smaller length = (larger length) × √(smaller area/larger area)

Answer:

The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps

Step-by-step explanation:

Answer:

2/15 =  13 1/3 %

Step-by-step explanation:

eight yellow marbles, nine green marbles, three purple marbles, and five red marbles = 25

P(yellow) =  yellow/ total =8/25

Keep

7 yellow marbles, nine green marbles, three purple marbles, and five red marbles = 24

P(red) = red/total =5/24

P(yellow then red) = 8/25 * 5/24 = 1/15

Then we have (red, yellow) =

P(red) = red/ total =5/25 = 1/5

Keep

8 yellow marbles, nine green marbles, three purple marbles, and four red marbles = 24

P(yellow) = yellow/total =8/24 = 1/3

P(red, yellow) = 1/5*1/3 = 1/15

Add them together

1/15 + 1/15 = 2/15 =

Answer:

See explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

Answer:

No solution

Step-by-step explanation:

5+x-14=x-7

-9+x=x-7

2+x=x

2=0

No solution

Answer:

[tex]\angle PRQ = 50^\circ[/tex]

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

[tex]\angle RPQ =99^\circ[/tex]

[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]

To find:

[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]

We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]

i.e.

[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]

To find the sides, we can use Sine rule:

As per Sine rule:

[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]

Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.

Using Sine rule in given triangle:

[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

Answer:

0.46 m

Step-by-step explanation:

area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2

20% of this area is 20% * 96 m^2 = 19.2 m^2

The area of the border is 19.2 m^2.

Let the path around the desks have width x.

The area of desks plus path is a rectangle 2x + 8 by 2x + 12.

area of desks plus path = (2x + 8)(2x + 12)

= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96

The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.

area of border = (4x^2 + 40x + 96) - (96) =

= 4x^2 + 40x

Above, we have the area of border = 19.2, so we get this equation:

4x^2 + 40x = 19.2

4x^2 + 40x - 19.2 = 0

x^2 + 10x - 4.8 = 0

We now use the quadratic formula to solve the equation for x.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{119.2 )}{2} [/tex]

[tex] x = 0.46 [/tex]  or  [tex] x = -10.46 [/tex]

We discard the negative solution.

Answer: the border is 0.46 m wide.

Answer:

15

[tex] \\ [/tex]

Step-by-step explanation:

[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]

Answer:

the missing side of the triangle is of length 15

Step-by-step explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]

Answer:

The fourth angle is 155

Step-by-step explanation:

The sum of the angles of a quadrilateral are 360 degrees

60 + 45 + 100 + x = 360

Combine like terms

205+x = 360

Subtract 205 from each side

205+x-205 = 360-205

x =155

Answer:

155

Step-by-step explanation:

Answer:

(1, 10) and (40, 0)

Step-by-step explanation:

Given expression 50x+150

inequality is

50x + 150y > 1500

it means that if we plug value of x and y from given option in  50x+150 then it should be greater than 1500.

lets check for all the option

(1,10)

50*1 + 150*10 = 50+1500 = 1550

Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given

(10, 1)

50*10 + 150*1 = 500+ 150 = 650

Since , 650 is less than 1500, (10,1) is not the solution for the inequality given

(0, 10)

50*0 + 150*10 = 0 + 1500 = 1500

Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given

(40, 0)

50*40 + 150*0 = 2000 + 0 = 2000

Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.

Thus, from the given option there are two solution for 50x + 150y > 1500

(1, 10) and (40, 0)

(1, 10) (40, 0) as the person above/below stated.

Answer:

I'm not sure but I think the answer is >

Step-by-step explanation:

It looks rig but if I were u I wouldn't trust me

i just did the quiz, It's > !

Answer:

D

Step-by-step explanation:

(5/9)^8

You distribute the exponent 8 to both the 5 and the 9, so D is just 1 step more simplified.

Answer:  The correct option is (D) {5^8}{9^}.

hope this helps. ;)

Answer:

1.28 is the decimal form

Step-by-step explanation:

and 128/100 or 128% is the percentage for 32/25.

// have a great day //

Answer:

If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.