2. Lena can finish 2 math homework problems in 15 minutes. At this rate, how many problems can she finish in 75 minutes? Use the rate table below to find the answer.

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:

0.0016

Step-by-step explanation:

The expression 0.2 by the power of 4  when evaluated has a value of 0.0016

From the question, we have the following parameters that can be used in our computation:

0.2 by the power of 4

Express as an equation

So, we have

0.2 by the power of 4 = 0.2⁴

When expanded, we have

0.2 by the power of 4 = 0.2 * 0.2 * 0.2 * 0.2

Evaluate the products

This gives

0.2 by the power of 4 = 0.0016

Hence, the solution is 0.0016

Read more about expression at

https://brainly.com/question/30492964

#SPJ6

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:

∠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:

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:

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: R = 8

Step-by-step explanation:

The Radius is R = 8. Give me Brainiest PLZZZ!!!

Answer:8 maybe?????

Step-by-step explanation:

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:

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:

40 feet

Step-by-step explanation:

4+4+8+4+12+8

= 40 ft.

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:

22

Step-by-step explanation:

17+(8-5)x5

17+3×5

17+15

22

Answer:

255

Step-by-step explanation:

B stands for brackets

O stands for order

D stands for devision

M stands for multiplication

A stands for addition

S stands for subtraction

If you follow it in the right order then you will find your answer so just follow it in the right order...

Answer:

use ph0t03ath or m4th3ay

Answer:

10=480 cupcakes 864=18 boxes 24=1152 cupcakes 1536=32 boxes

Step-by-step explanation:

Answer:

17.75

Step-by-step explanation:

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:

im pretty sure its 170 inches long

Step-by-step explanation:

Answer:

176 Inches long.

Step-by-step explanation:

160 multiplied by .1 gets you 10% then add 160 to 16 to get 176.

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

Answer:

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

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:

4 books

Step-by-step explanation:

the three numbers can divisible by 4

Hope this right.But if it's not,im so sorry..Have a nice day

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  

Answer:

$96

Step-by-step explanation:

$36/3= $12 per hour

$12 * 8 = $96

Answer:

56

Step-by-step explanation:

Answer:

i think it is 56 if it is wut i think it is

Step-by-step explanation:

Answer:

she spent 11.75$ total

Step-by-step explanation:

9.50+2.25=11.75

Answer:

beats me

Step-by-step explanation:

ask urself