One flower is randomly taken from a vase containing 5 red
flowers, 2 white flowers, and 3 pink flowers. Find each
probability.
p(red)=

Answer:

The coordinate of the rest stop is: [tex](5,2.5)[/tex]

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel

[tex](x_2,y_2) = (7,1)[/tex] --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]

This gives:

[tex](x,y) = \frac{1}{2}(3+7,4+1)[/tex]

[tex](x,y) = \frac{1}{2}(10,5)[/tex]

Open bracket

[tex](x,y) = (5,2.5)[/tex]

Solving (b): Distance between the hotel and the stadium

We have:

[tex](x_1,y_1) = (3,4)[/tex] --- Team hotel

[tex](x_2,y_2) = (7,1)[/tex] --- Stadium

The distance (d) is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(3 - 7)^2 + (4 - 1)^2}[/tex]

[tex]d = \sqrt{(-4)^2 + 3^2}[/tex]

[tex]d = \sqrt{16 + 9}[/tex]

[tex]d = \sqrt{25}[/tex]

[tex]d =5[/tex]

From the question, we have:

[tex]1\ unit = 6.4\ miles[/tex]

So:

[tex]d =5 * 6.4\ miles[/tex]

[tex]d =32\ miles[/tex]

Answer:

B. He used the wrong expression to represent the area of the base of the pyramid.

Step-by-step explanation:

Given

See attachment for pyramid

[tex]Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4[/tex]

Required

Vikram's error

The surface area of a square pyramid is:

[tex]Area = Base\ Area + 4 * Area \triangle[/tex]

Where

[tex]Base\ Area = Length * Length[/tex]

[tex]Base\ Area = 34.2 * 34.2[/tex]

[tex]4 * Area \triangle = 4 * \frac{1}{2} * Base * Height[/tex]

[tex]4 * Area \triangle = 4 * \frac{1}{2} * 34.2 * 28.4[/tex]

So:

[tex]Area = Base\ Area + 4 * Area \triangle[/tex]

[tex]Area = 34.2 * 34.2 + 4 * \frac{1}{2} * 34.2 * 28.4[/tex]

By comparing the calculated expression with

[tex]Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4[/tex]

Option (b) is correct

Answer:

101

Step-by-step explanation:

According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC

.

The Law of Cosines can be used because all three side lentghs are known.

Set up the equation for the Law of Cosines:

a2=b2+c2−2bccosA

Substitute the known values into the Law of Cosines:

312=222+182−2(22)(18)cosA

Square the values and multiply:

961=484+324−792cosA

Add:

961=808−792cosA

Subtract 808

from both sides:

153=−792cosA

Divide both sides by −792

:

153−792=cosA

According to this equation m∠A

is equal to the inverse cosine function of −153792

. Write this:

m∠A=cos−1(−153792)

Calculate the value of the inverse cosine −153792

on a calculator:

m∠A≈101°

Therefore, m∠A≈101°

.

Answer:

101

Step-by-step explanation:

calculate using the law of cosines

hope that helps!

Answer:

150.796π square meters

maybe!

Step-by-step explanation:

Answer:

I don't think so cause average in my town is 100 to 109

Answer:

I don't think so

Step-by-step explanation:

¯\_(ツ)_/ i can't tell you

f(x) = square root of (-7 + 2) - 6

f(x) =square root of (-5) - 6

f(x) = 2.236 = 2.2 - 6

f(x) = -3.8

F(x) = √x+2 -6

F(x) = √7+2 -6

F(x) = 3-6

F(x) = -3

Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years

Answer:

Step-by-step explanation:

Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:

10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm

this answer for # 2 question

Answer:

1093/6

Step-by-step explanation:

9x + 3x + 1 = 2187

12x + 1 = 2187

12x = 2187 - 1 = 2186

12x = 2186

x = 2186/12 = 1093/6

Hope u understand

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Answer:

[tex]circumference = 2 \pi r = 2 \times 3.14 \ times 1 = 6.28m\\\\Area = \pi r^2 = 3.14 \times 1 \times 1 = 3.14m^2[/tex]

The circumference of the circle is, 6.28 meter.

And, The area of circle is, 3.14 meters²

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A circle with radius of 1 meter.

Now, We know that;

The circumference of the circle = 2πr

Hence, We get;

The circumference of the circle is,

⇒ 2 × 3.14 × 1

⇒ 6.28 meter

And, The area of circle is,

⇒ Area = πr²

⇒ Area = 3.14 × 1²

⇒ Area = 3.14 meters²

Thus, The circumference of the circle is, 6.28 meter.

And, The area of circle is, 3.14 meters²

Learn more about the circle visit:

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Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

Answer:

40

Step-by-step explanation:

Answer:

X=-3

Step-by-step explanation:

3x-5x+4=10

-2x=6

x=-3

note:  I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.

Answer:

123 cm²

Step-by-step explanation:

You add the sum of all the faces in the shape

Answer:

Step-by-step explanation:

8 x 9= 72…. 3 x 8= 24….  3 x 9= 27….  72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.

therefor Your answer is 246 cm2

7.898 and 7.097 numbers make a true statement when placed in the box

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures. It also allows us to operate arithmetic operations like addition, subtraction, multiplication and division.

Numbers make a true statement when placed in the box

7.902 > ?

7.902 < 7.912

7.902 > 7.097

7.902 < 7.920

7.902 >7.898

Hence, the answer is 7.898 and 7.097

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Answer: B & D

Step-by-step explanation:

Answer:

c=21.6

Step-by-step explanation:

First, find the last angle of the triangle.

The sum of all the angles in a triangle is 180 degrees.

A+90+37=180

A=53

Now find x

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp

rewrite as

c=a/cos(B)

c=17.3/cos(37)

c=21.66194688

Answer: $9,500

Step-by-step explanation:

If the value of the car depreciates by 5% in a year it means that the value of the car reduced by 5%.

First find the 5%:

= 5% * 10,000

= $500

Subtract this from the initial value to find the value after a year:

= 10,000 - 500

= $9,500

Answer:

$ 9500

Step-by-step explanation:

From the question given above, the following data were obtained:

Initial value = $ 10000

Depreciation rate = 5%

Value after one year =?

Next, we shall determine the depreciation value. This can be obtained as follow:

Initial value = $ 10000

Depreciation rate = 5%

Depreciation value =?

Depreciation value = Initial value × rate

Depreciation value = 10000 × 5%

Depreciation value = 10000 × 5/100

Depreciation value = $ 500

Finally, we shall determine the value of the car after one year. This can be obtained as follow:

Initial value = $ 10000

Depreciation value = $ 500

Value after one year =?

Value after one year = Initial value – Depreciation value

Value after one year = 10000 – 500

Value after one year = $ 9500

Therefore, the value of the car after one year is $ 9500

Answer:

c=1

Step-by-step explanation:

9c+1 = 10

Subtract 1 from each side

9c+1-1=10-1

9c = 9

Divide by 9

9c/9 = 9/9

c = 1

Answer:

21 feet

Step-by-step explanation:

Remember to get feet to yards, multiply the feet by 3 because there are 3 feet in one yard

in this case 7 × 3 = 21

And additionally to get yards to feet, divide by three because 1 yard = 3 feet

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Answer:

[tex]h(x) = {x}^{2} - 2 \\ h(2z) = {(2z)}^{2} - 2 \\ = 4 {z}^{2} - 2 \\ = 2( {2z}^{2} - 1)[/tex]

Answer:

40 is the answer I also got 40

Answer:

The answer is 1,440

Step-by-step explanation:

Answer:

Step-by-step explanation:

god bless

from philippines

Answer: 24 2/3

Step-by-step explanation:

Let the total distance of the race be represented by x.

Therefore, based on the information given, we can form an equation which will be:

3/8 of x = 9 1/4

3/8x = 9 1/4

0.375x = 9.25

x = 9.25/0.375

x = 24.67

The distance of the race is 24 2/3

Answer:

Step-by-step explanation:

Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Answer:

D. 3.2 in^2

Step-by-step explanation:

48 divide 15 = 48/15 = 3.2

Answer:

measure of angle F=    109 degrees

Step-by-step explanation:

I believe by m you are solving for angle F.  So, angle H =71 degrees. GF and HI are parallel. In order to find angle G, Take the supplementary of 71 degrees, so 180-71 = angle G =109 degrees. Because GH and FI are congruent, the angles should be same across the shape, so angle I 71 degrees. Quadrilateral has a total of 360 degrees, so, 360-71-109-71=109 degrees. In general, angke G would equal angle F because of the trapezoid properties that take place when both bases are parallel and two of the sides are congruent, the trapezoid is an isosceles trapezoid

To find the difference subtract the price of the hot dog from the price of the hamburger:

2.99 - 2.50 = 0.49

The hamburger cost $0.49 more than the hot dog.