Find the product. Simplify your answer.
(3p–2)(4p–1)

Answer:

Area = 23.12 cm²

perimeter = 24.28 cm

Step-by-step explanation:

top shaded region is circular arc with 90° sector angle

so perimeter of arc is 90 / 360 * 2πr

here radius of arc is half the length of square side

r = 6.8/2 = 3.4

top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4

= 1/4 * 2 * 3.14 * 3.4

= 5.338

bottom region perimeter is also same

total perimeter of shaded region is = side + side + two arcs

= 6.8 + 6.8 + 2 * 5.338

= 13.6 + 10.676

= 24.276

= 24.28

Area of top shaded region is 90/360 * πr²

A = 1/4 * 3.14 * 3.4²

= 9.0746

bottom shaded region area is half of area of square - area of bottom arc

= 6.8 * 3.4  - 9.0746

= 23.12 - 9.0746

= 14.0454

so total area of shaded region is 9.0746 + 14.0454

= 23.12

or you can just calculate area as half of area of total square = 6.8² / 2

= 23.12

Answer:

The burgers cost $2.50 and the cookies cost $1.25.

Step-by-step explanation:

Let b represent burgers and c represent cookies.

2b + 2c = 7.50

4b + 3c = 13.75

Step 1: Use one of the two equations and isolate one of the variables.

2b + 2c = 7.50

      - 2c    -2c

[tex]\frac{2}{2}[/tex]b = [tex]\frac{7.50}{2}[/tex] - [tex]\frac{2}{2}[/tex]c

b =  3.75 - c

Step 2: Plug what you get for b into the second equation.

4(3.75 - c) + 3c = 13.75

15 - 4c + 3c = 13.75

15 - 1c = 13.75

Step 3: Isolate the variable and solve for c.

15 - 1c = 13.75

-15        -15

[tex]-\frac{1}{1}[/tex]c = [tex]\frac{-1.25}{-1}[/tex]

c = 1.25 ← price for cookies

Step 4: Plug in what you have for c into one of the previous equations and solve for b.

2b + 2(1.25) = 7.50

2b + 2.50 = 7.50

     - 2.50   -2.50

[tex]\frac{2}{2}[/tex]b = [tex]\frac{5}{2}[/tex]

b = 2.50 ← price for burgers

Now you know the cost of each item:

The burgers cost $2.50 and the cookies cost $1.25.

Answer:

7 and 9

Step-by-step explanation:

4/3÷1/6 = 4/3 × 6/1

= 8

So the value of p falls between the range of 7 and 9

Answer:

Step-by-step explanation:

IF 17 is in base 10

THEN

17₁₀ = 1 x 10¹ + 7 x 10⁰

10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰

32₅ = 3 x 5¹ + 2 x 5⁰

Yep, it's C. The answer is C

Answer:

6^3

Step-by-step explanation:

3 × 3 × 3 × 3 × 3 × 3=729

6^3=216

3 × 3 × 3 × 3 × 3 × 3=729

3^6=729

Hope this helps :)

3 × 3 × 3 × 3 × 3 × 3

63

9 × 9 × 9

36

Answer:

3

Step-by-step explanation:

I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!

9514 1404 393

Answer:

  AE = CE = 12 in

Step-by-step explanation:

Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...

  180° -2×30° = 120°

In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.

Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.

Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.

The measurements of interest are ...

  AE = CE = 12 in.

_____

Additional comment

Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:

  ∠BDF = ∠BDE

  ∠BCF = ∠BCA

This makes it more obvious that the triangles of interest are similar.

Answer:

12

12

Step-by-step explanation:

see the below figure

i got that both triangles are similar

we get that in triangle ABC angle BCF is 30

so angle A is also 30 (isosceles)

so the remaining angle ABC is 120

and angle CBD becomes 180 - 120 = 60

now in triangle BDE angle BDF is 30

so angle BED is also 30

now angle EBC becomes 120 - angle CBD = 120 - 60

and got angles ABE EBC CBD as 60 each

so three 60 degree angles are formed at vertex B as shown in the figure

 tw0 30 30 120 degree triangles are similar

BC becomes perpendicular angular bisector of ED

C is a point on that line which is at equal distance from the base vertices

so CD = CE = 12

here BE is perpendicular bisector of AC

so AE = EC = 12    

Check the picture below.

Answer

B, the second choice

Step-by-step explanation:

the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.

Answer:

what? elaborate please and thank you

Answer:

the correct answer is b

Step-by-step explanation:

Like and give 5 star rating

Answer:

2 hours

Step-by-step explanation:

Answer:

150 miles

Step-by-step explanation:

45/3=15

15*7=105      15*3=45

105+45=150

15*10=150

:)

Answer:

5x12=60,+6=66

Step-by-step explanation:

Answer:

66 months

Step-by-step explanation:

12months x 5= 60

60 + 6= 66

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft

Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

Answer:

LJ< JK<LK

Step-by-step explanation:

for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)

Answer:

Your answer would be x=2±√5

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

Answer:

11.1

Step-by-step explanation:

The percentage error for the given data will be 12.5%

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

The percentage error will be calculated as:-

percent error = (|experimental value - theoretical value| / theoretical value) x 100

In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:

percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%

Learn more about percentage error on:

brainly.com/question/5493941

#SPJ2

p  >  −  1

............................................................................................

Answer:

81 people

Step-by-step explanation:

[tex]3\dfrac 23 -1 \dfrac 45 = 3 \dfrac{10}{15} - 1 \dfrac{12}{15}[/tex]

Answer:

Answer:

2x + 4 = 4x - 88

x = 46

Answer:

x = 46

Step-by-step explanation:

These angles are known as corresponding angles. This means they are equal to one another.

[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]

There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).

-------------------

A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?

----

Ans: -226 ; 50,000-226 = 49774

-------------------------

If a 50-year-old female purchases the policy, what is her expected value?

WORK TRIED:

In the event she lives, the value is -$226. In the event she dies, the value is $49,774.

----

E(x) = 0.9968*(-226) + 0.0032(49774) = -$66

==================================================

Cheers,

ROR