The boxes below are two similar solids. Find the value of the missing dimensions and support your answer. YOU MUST SELECT 2 ANSWERS
A) b=9
B) b=18
C) h=9
D) h=18

Answer:

8

Step-by-step explanation:

you basically multiply 2 by 4 anyways hope this helps

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.

Answer:

40

Step-by-step explanation

100-60=40

Answer:

a(n)=89n

Step-by-step explanation:

Given the sequence 89, 178, 267, 356, ...

First Term, a(1)=89

178-89=267-178=89

This is an arithmetic difference with:

Common difference, d=89

The position of any term, n in an arithmetic sequence is derived using the formula:

a(n)=a(1)+(n-1)d

Substituting a(1)=89 and d=89

a(n)=89+89(n-1)

a(n)=89+89n-89

a(n)=89n

The expression that describes the sequence above is: a(n)=89n where n is the position of a term in the sequence.

Answer:

243.92cm³

Step-by-step explanation:

We have two shapes given in this question. A spherical ornament and a cubic box

Step 1

Find the volume of the Sphere

Volume of the sphere is given as

4/3 πr³

In the question, the radius of the sphere is given as = 4 centimeters.

Therefore,

Volume of the sphere = 4/3 × π × 4³

Volume of the sphere = 268.08cm³

Step 2

We have to find the length of the side or the edge of the cube.

It is important note that: because the spherical ornament is insides the cubic box,

Hence, the diameter of the spherical ornament = length of the side (edge) of the cube.

In the question we are given the radius of the sphere = 4 cm

Diameter = 2 × radius = 2× 4 cm = 8cm

Since,the diameter of the spherical ornament = length of the side (edge) of the cube,

The length of the side of the edge of the cube = 8cm

Step 3

We find the Volume of the cube

Volume of the cube = Length × Width × Height

Where the Length = Width = Height

Therefore, Voulme of the cube = 8cm × 8cm × 8cm

= 512cm³

Step 4

The fourth and final step is to find the space is left in the box to be filled with packing material.

The space left to be filled with packing material = Volume of the cube - Volume of the Spherical ornament

Volume of the cube= 512cm³ Volume of the Spherical ornament =

268.08cm³

Therefore, amount or Volume of space left for the packing material = 512cm³ - 268.08cm³

= 243.92cm³

Therefore, amount of space that is left in the box to be filled with packing material is 243.92cm³

The area of the remaining space for packing the material is 243.9 square cm.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

The radius of the sphere = 4 cm

Side of the cube = 8 cm

The volume of the cube = 8×8×8 = 512 square cm

The volume of sphere = (4/3)π(4)³ = 268.082 square cm

Remaining space = 512 - 268.082 = 243.9 square cm

Thus, the area of the remaining space for packing the material is 243.9 square cm.

Learn more about the sphere here:

brainly.com/question/11374994

#SPJ5

Answer:

3003

Step-by-step explanation:

This is a combination since the order doesn't matter

15 C 10

The formula

15!

-------

10! (15-10)!

15*14*13*12*11

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

5*4*3*2*1

3003

Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Answer:

  T(t) = 14.5cos(2π(t -206/365)) +63.5

Step-by-step explanation:

The function can be written as ...

  T = A·cos(2π(t -206/365)) +B

where A is half the difference of the high and low temperature values, and B is the average of the high and low temperature values.

  A = (78-49)/2 = 29/2 = 14.5

  B = (78 +49)/2 = 127/2 = 63.5

The value 206/365 is the horizontal right shift of the peak of the function. That makes the peak occur on July 26, as required.

Filling in these values gives us the function ...

  T(t) = 14.5cos(2π(t -206/365)) +63.5

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

Answer:

Direction of the police plane = N57.1E

Speed of the police airplane = 255 km/h

Step-by-step explanation:

The diagram of the situation described is presented in the attached image to this question.

Let the distance the police airplane has to travel to intercept the smuggler at 08:30 be x km

The police airplane moves at 06:30 and plans to intercept the smuggler at 08:30; thereby travelling for 2 hours.

By 08:30, the smuggler would have travelled for 2 hours 30 mins, that is, 2.5 hours, travelling at 200 km/h, that is a total distance of 500 km covered.

So, the paths form a triangle.

Using cosine rule, we can obtain the distance, x, that the police airplane has to travel to intercept the smuggler at 08:30.

x² = 150² + 500² - (2×150×500×cos 85°)

x² = 259,426.63858785

x = 509.34 km

We can obtain the direction, Φ, by finding the angle θ using some rule.

[(Sin 85°)/509.34] = [(Sin θ)/500]

Sin θ = (500 × sin 85°)/509.34 = 0.9779 = 77.94°

From the attached image,

Φ + θ = 90° + 45° = 135°

Φ = 135° - θ = 135° - 77.94° = 57.06° = 57.1°

Therefore,

Speed of police airplane = (distance)/(time) = (509.34/2) = 254.67 km/h = 255 km/h

Direction of the police plane = N57.1E

Hope this Helps!!!

explanation: hi buddy i can help you with this

Answer: i think 83?"?"?

Answer:

D.

Step-by-step explanation:

So find what two numbers multiply to 72 and add up to 17

9 and 8

(z + 9)(z + 8)

Answer:

D. (z + 9)(z + 8)

Step-by-step explanation:

Let's factor z2+17z+72

z2+17z+72

The middle number is 17 and the last number is 72.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 17

Multiply together to get 72

Can you think of the two numbers?

Try 8 and 9:

8+9 = 17

8*9 = 72

Fill in the blanks in

(z+_)(z+_)

with 8 and 9 to get...

so (z + 9)(z + 8)

Answer:

c

Step-by-step explanation:

The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Given:

The number of violet balls is 2.

The number of pink balls is 4.

To find:

The probability of getting violet first and pink next, if the first ball drawn is replaced.

Explanation:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

Total number of balls is:

[tex]2+4=6[/tex]

The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].

The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].

The probability of getting violet first and pink next, if the first ball drawn is replaced is:

[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]

[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]

[tex]P=\dfrac{2}{9}[/tex]

Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].

Learn more:

https://brainly.com/question/15620045

Answer:

with?

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3+9=18

Answer:

13 footballs and 13 basketballs

Step-by-step explanation:

Let f = footballs

b = basketballs

f=b since we are buying an equal number

9f+7b = 208

Substitute f=b

9f+7f = 208

16f = 208

Divide by 16

16f/16 = 208/16

f=13

We are buying 13 footballs

Since f=b

We are buying 13 basketballs

Answer:

Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)

Hope this helps!

Answer:

78.5 yards²

Step-by-step explanation:

Area of a sector:

Theta/360 × pi × r²

40/360 × 3.14 × 15²

78.5 yd²

Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees.

x can be one angle, and (x-39.2) can be the other

x + (x-39.2) = 90

2x - 39.2 = 90

add 39.2 to both sides

2x = 129.2

divide each side by 2

x = 64.6

find the measure of the other angle

64.6-39.2 = 25.4

The measures of the angles are 64.6 degrees and 25.4 degrees.

Answer:

Step-by-step explanation:

Suppose two complementary angles of measures x And y then

x + y = 90 and y = x - 39.2

if we plug in  x - 39.2 instead of y in the equation x + y = 90 we get :

x + (x - 39.2) = 90

then

2x = 90 + 39.2

then

2x = 129.2

then

x = 129.2/2 = 64.6

therefore

y = 64.6 - 39.2

  = 25.4

______________________________

:)

Answer:

She would have $1,126.16 in 3 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Invested 1000, which means that [tex]P = 1000[/tex].

Interest of 4%, so [tex]r = 0.04[/tex]

Semianually is twice a year, so [tex]n = 2[/tex]

How much money would she have in 3 years?

This is A(3).

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(3) = 1000(1 + \frac{0.04}{2})^{6} = 1,126.16[/tex]

She would have $1,126.16 in 3 years.

Answer:

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with

Mean diameter = μ = 8 inches

Standard deviation = σ = 2.5 inches

The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)

To solve this, we first normalize or standardize 5.5 inches

The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00

The required probability

P(x < 5.5) = P(z < -1.00)

We'll use data from the normal probability table for these probabilities

P(x < 5.5) = P(z < -1.00) = 0.15866

Hope this Helps!!!

Answer:

1,027 milliliters

Step-by-step explanation:

1 liter is 1,000 milliliters

2 centiliters is 20 milliliters

7 milliliters stays the same

Adding up the new numbers gives you

1,000+20+7

Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2

Answer:

The number is 10

Step-by-step explanation:

Of means multiply and is means equals

125% * Number = 12.5

Change to decimal form

1.25 * Number = 12.5

Divide each side by 1.25

1.25 * Number / 1.25 = 12.5/1.25

Number =10

Answer:

the answer is y=4

Answer:

The answer is -4

Step-by-step explanation:

that would be because that is the answer

the correct answer is B.)  -4      

Answer:

209 cm^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 19 * 11

A =209

Answer:

mean number of hours worked = 32

Step-by-step explanation:

The mean or average of a set of data is the sum of the individual data divided by the number of entries.

Therefore, the mean number of hours worked is calculated as follows:

sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320

Number of entries = 10

mean number of hours worked = sum of the number of hours ÷ Number of entries

mean number of hours worked = 320 ÷ 10 = 32

Answer:

1.89 radians  or 108 degrees.

Step-by-step explanation:

Circumference of the circle = 10 * 3.142

= 31.42.

So 31.42 is equivalent to 2 pi radians, so:

Angle subtended at the center

= (9.42 / 31.42) * 2 pi

=  (9.42 / 31.42) * 2 * 3.142

= 1.89 radians  or 108 degrees..