what is 4[tex]x^{2}[/tex]-12x+9=0

Answer:

∠ATB = 102°

Step-by-step explanation:

Since ∠CBY is less than 90°, CB is not a diameter.

I did this in my head so I drew a sketch to show that around about way I did it. sketch attached:

I drew a third line from X to Y that is tangent to the circle at C.

Because each pair of tangent lines to a common point are equal, we have made three isosceles triangles.  

Now we know 2 of the three angles to ΔXYT, 180 - 50 - 28 = 102° for ∠ATB

Answer:

Step-by-step explanation:

Given

To find

Solution

Refer to attached picture

TAX is a straight angle and:

∠TBA = ∠TAB as two tangents intersect at same distance, their opposite angles are therefore same. ΔATB is an isosceles triangle.

Answer:

$0.24

Step-by-step explanation:

The computation of the price of the one pint of the mixture is shown below:

Since the ratio of apple juice and cranberry juice is 4:5

And, the price of apple juice is 45 cents i.e. = 0.45 × 4 ÷  9 = 0.2

Also the price of cranberry juice is $0.8 = $0.08 × 5 ÷ 9 = 0.04

SO, the price of one pint of the mixture is

= 0.2 + 0.04

= $0.24

Answer:

$0.24444

Step-by-step explanation:

Answer:

Volume of the given pyramid = 1122.37 cubic feet

Step-by-step explanation:

Volume of the regular hexagonal pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Base})[/tex]

Measure of internal angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]

Here, n = number of sides of the polygon

For a hexagon, n = 6

Measure of interior ∠C = [tex]\frac{(6-2)\times 180}{6}[/tex]

                                       = 120°

Measure of ∠BCD = [tex]\frac{120}{2}[/tex]

                              = 60°

By applying tangent rule in ΔCED,

tan(∠ECD) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(60°) = [tex]\frac{DE}{CE}[/tex]

[tex]\sqrt{3}=\frac{DE}{6}[/tex]

DE = [tex]6\sqrt{3}[/tex] feet

And cos(60°) = [tex]\frac{EC}{CD}[/tex]

[tex]\frac{1}{2}=\frac{6}{CD}[/tex]

CD = 12 feet

Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        =  [tex]\frac{1}{2}(6\sqrt{3})(12)[/tex]

                        = [tex]36\sqrt{3}[/tex] feet

Area of hexagonal Base of the pyramid = [tex]6(36\sqrt{3})[/tex]

                                                                  = 216√3 square feet

Since, lateral height of the pyramid (AC) = 15 feet

By applying Pythagoras theorem in ΔADC,

AC² = AD² + CD²

(15)² = AD² + (12)²

AD = [tex]\sqrt{225-144}[/tex]

AD = 9 feet

Volume of the given pyramid = [tex]\frac{1}{3}(216\sqrt{3})(9)[/tex]

                                                 = 648√3 cubic feet

                                                 = 1122.37 cubic feet

Answer:

both

Step-by-step explanation:

given sss, you will need to use Law of Cosines.

However, one you get one of the angles, the easiest way to solve for the second angle is to just use law of sines.

Answer:

the answer 144 (hope this helps :) )

Step-by-step explanation:

Answer:

the answer 144

Step-by-step explanation:

Answer:

beats me

Step-by-step explanation:

ask urself

Answer:

he would have to ride for 3 miles each of the six days left to meet his goal

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

4 queens and 13 hearts

4/ 52 + 13/52 - 1/52

16/52

4/13

Answer:

Step-by-step explanation:

There are 13 hearts in 52 cards. C From above, P(Queen)=4/52 and P Heart=13/52, the queen of hearts is in both categories so we have to subtract 1/52 so we don't double count.

Answer:

I think it is B,D, and E. Hope that helps.

Answer:

2 dozens, $41

Step-by-step explanation:

Given data

Man Street Florist charges

$18 for a dozen roses and a

$5 delivery fee

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 18x+5--------------1

Blooms and Bouquets

charges $20 for a

dozen roses and a $1

delivery fee.

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 20x+1 -------------2

Equate 1 and 2 we have

18x+5=20x+1

20x-18x= 5-1

2x= 4

x= 4/2

x= 2

Hence the number of dozens is 2

the cost is (put x= 2 in eqn 1 or 2)

y= 20(2)+1

y= 40+1

y= $41

Answer:

16 m

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = base² +altitude²

                      = 5² +6²

                      = 25 + 36

                      = 61

First diagonal = [tex]\sqrt{61}[/tex] = 7.81 m

Second diagonal² = first diagonal² + altitude²

                              = [tex](\sqrt{61})^{2}[/tex]  + 3²

                              = 61 + 9

                              = 70

second diagonal = [tex]\sqrt{70}[/tex] = 8.37 m

First diagonal  + second diagonal = 7.80 + 8.37 = 16.17 = 16

Answer: 108

Step-by-step explanation: bottom figure=60 because 10x3x2=60

top one=48 4x4x3 so 48 60+48=108

plz mark me brainliest

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.

Using ∆ABD

  55 +90 +2x+3 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

Using ∆BCD

  50 +90 +2x+8 = 180

  2x = 32 . . . . . . subtract 148

  x = 16

Using ∆ABC

  55 +(2x +3) +50 +(2x +8) = 180

  4x = 64 . . . . . . . subtract 116

  x = 16

Answer:

i believe the answer is 6cm

Step-by-step explanation:

Answer:

7cm

Step-by-step explanation:

[tex]\frac{4.9}{3.5} =\frac{x}{5} \\x=\frac{4.9}{3.5} \times 5=7[/tex]

Answer:

Step-by-step explanation:

Perimeter of the given polygon = n + 2 + 3 + 4 + n + 2 + 3 + 4

                                                     = 2(n + 2 + 3 + 4)

                                                     = 2(n + 9) units

Area of the composite figure = Area of rectangle A + Area of rectangle B + Area of rectangle C

                                                = (3 × 4) + (n ×2) + (2 × 3)

                                                = 12 + 2n + 6

                                                = 2n + 18

                                                = 2(n + 9) units²

Therefore, perimeter of the given figure = Area of the figure

Answer:

$96

Step-by-step explanation:

$36/3= $12 per hour

$12 * 8 = $96

Answer:

52 km

Step-by-step explanation:

Given, 5 miles is 8km.

So, 1 mile will be (8/5) km.

Now, 32.5 miles will be (8/5) x 32.5 = 52 km

Answer:

Hi friend I am new can you show me how post question pls

Step-by-step explanation:

Answer:

40 feet

Step-by-step explanation:

4+4+8+4+12+8

= 40 ft.

Answer:

0.4

Step-by-step explanation:

I did it on deltamath

Answer:

x=0.4144≈0.4 feet

Step-by-step explanation:

Deltamath

Answer:

[tex]2\frac{1}{6}[/tex]

Step-by-step explanation:

→ Add the distances painted

[tex]2\frac{1}{6} +1\frac{2}{3} =2\frac{1}{6} +1\frac{4}{6} =3\frac{5}{6}[/tex]

→ Minus from 6 to find the third day's work

[tex]6-3\frac{5}{6} =\frac{6}{1} -\frac{23}{6} =\frac{36}{6} -\frac{23}{6} =\frac{13}{6} =2\frac{1}{6}[/tex]

Answer:

43x+39

Step-by-step explanation:

(5)(9x)+(5)(6)+−2x+9

=45x+30+−2x+9

=45x+30+−2x+9

=(45x+−2x)+(30+9)

=43x+39

(if this helps please give brainliest and 5 stars thanks)

Answer:

43x + 39

Step-by-step explanation:

5 ( 9x + 6 ) - 2x + 9

Firstly, open up the brackets.

= 45x + 30 - 2x + 9

Now bring the like term together and simplify.

=45x - 2x + 30 + 9

= 43x + 39

Answer:

1540

Step-by-step explanation:

First find the new price after the markup

The markup is

770 * 150%

770 * 1.5

1155

Add this to the original price

770 + 1155

1925

Now find the discount

1925*20%

1925*.20

385

Subtract this amount from the 1925

1925-385

1540

The final price is 1540

Answer:

Solution given:

cost price [c.p] of TV =$770

MP=c.p+ 150% of c.p=$770+150/100×770=$1925

discount [D]=20%

now

discount amount=D% of MP=20/100×1925=$385 is your answer.

$385 was the discount price on the plasma screen TV.

Answer:

Cam has a greater balance and Ben has more debt.

Answer: Ben has more debt

Cam has a greater balance

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

will take approximately 1-2 hours or even longer

Answer:

174.5m

Step-by-step explanation:

So we have to break the shapes down to triangle, rectangle and the small rectangle

Area of rectangle=WxL

Area of triangle= (BxH)÷2

triangle=

(23x11)÷2

=253÷2

=126.5m

rectangle=

9x19

=28m

square#2(the small one)=

5x4

=20m

All:

20+28+126.5

=174.5m

Answer:

6x^3-12x^2+3x-3

Step-by-step explanation:

Answer:

6x³ - 12x² + 3x - 3

Step-by-step explanation:

f(x)      -        g(x)

= (6x³ - 3x² + 4x - 4) - (9x² + x - 1)

= 6x³ - 3x² + 4x - 4 - 9x² - x + 1

= 6x³ - 3x² - 9x² + 4x - x - 4 + 1

= 6x³ - 12x² + 3x - 3