Ask question

Ask question

All categories

2 years ago

11

Dylan went to a banquet at the end of the meal equal amounts of pieces of chocolate blueberry and pecan pie were passed out rand

omly to the guest what is the probability that dylan will receive the apple pie

1 answer:

Vaselesa [24]2 years ago

4 0

Answer:

1/2

Step-by-step explanation:

You might be interested in

Solve each quadratic equation. Show your work.<br> x^2 + 3x = 10

Oxana [17]

$x^{2} +3x=10$
$x^{2} +3x-10=0$
$x^{2} +5x-2x-10=0$
x(x+5)-2(x+5)=0
(x-2)(x+5)
x=2, x=-5

6 0

2 years ago

Read 2 more answers

The projected worth (in millions of dollars) of a large company is modeled by the equation w = 236(1.06) t. The variable t repre

Ivahew [28]

Answer:

$448 million

Step-by-step explanation:

When it is 2011, t=11, so

$w=236(1.06)^{11} \approx 448$

7 0

7 months ago

How can I solve this Inequality ?

musickatia [10]

Add 12 to both sides.

q-12 > 3
q > 15

ANSWER: q > 15

4 0

2 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

2 years ago

Robert invests $1100 at an annual interest rate of 8% for the period of 1 year. What equation shows the relationship between pri

Sholpan [36]

Answer:

88 dollars

The equation would be:

prt=i

(1)(.08)(1100)=88

Hope this helps! ☺

Step-by-step explanation:

8 0

2 years ago