A solid has 6 faces and 8
vertices. How many edges
does it have?
Euler's Formula: F+ V - E = 2
Fnter

Answer:

m∠C = 72°

BA = 8.6

AC = 2.8

Step-by-step explanation:

We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:

m∠A + m∠B + m∠C = 180°

And substitute what we have:

90° + 18° + m∠C = 180°

108° + m∠C = 180°

m∠C = 72°

In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:

cos(∠B) = [tex]\frac{BA}{BC}[/tex]

cos(18°) = [tex]\frac{BA}{9}[/tex]

9 * cos(18°) = BA

BA ≈ 8.559508647

And when we round, we get:

BA = 8.6

In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:

sin(∠B) = [tex]\frac{AC}{BC}[/tex]

sin(18°) = [tex]\frac{AC}{9}[/tex]

9 * sin(18°) = AC

AC ≈ 2.781152949

We can round this to:

AC = 2.8

Answer:

51?

Step-by-step explanation:

I am sorry if it's wrong

Answer:

45

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Given -

Height of the Eagleton's basketball players are 70, 71, 72, 74, 74, 75, and 75.

The mean height of Eagleton's basketball players is 73 inches

Heights of Hawkville's basketball players are 70, 70, 71, 72, 72, 72, and 77. The mean height of the Hawkville players is 72 inches

The range of any given data set is the difference in the maximum and minimum value the frequencies with in the data set.

The range of Hawkville's basketball players is 77-70 = 7

The range of Eagleton's basketball players is 75-70 = 5

Hence, the height of Hawkville's basketball players vary more as compared to the height of players of Eagleton.

Option C is correct

Answer:

C

Step-by-step explanation:

Answer:

Probability of selected sample is floral = 1 / 3

Step-by-step explanation:

Given:

Number of fabric sample = 6 sample

Number of floral sample from all samples = 2 samples

Find:

Probability of selected sample is floral

Computation:

Probability of a sample = Favorable outcome / Total outcomes

Probability of selected sample is floral = Number of floral sample / Number of fabric sample

Probability of selected sample is floral = 2 / 6

Probability of selected sample is floral = 1 / 3

Answer:

Step-by-step explanation:

Answer:

nah

Step-by-step explanation:

Answer:

2 grams per part

Step-by-step explanation:

200 g /100 parts = 2g per part

Answer: 2Grams

Step-by-step explanation:

200 divided by 100

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, a complete question is attached.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled, obtuse, acute, scalene, isosceles, equilateral triangle.

Trigonometric identities are used to show the relationship between the sides and the angles in a right angled triangle. Below are some trigonometric identities:

sin(θ) = opposite / hypotenuse; cos(θ) = adjacent / hypotenuse; tan(θ) = opposite / adjacent

The hypotenuse is the longest side in the triangle.

From the image attached:

sin(α) = opposite side / hypotenuse side

sin(α) = 7 / 25

Answer:

35/37

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

Given

See attachment for boat and hiker

Required

The distance between the boat and the hiker

To do this, we make of sine rule.

[tex]\frac{a}{\sin A} = \frac{b}{\sin B} =\frac{c}{\sin C}[/tex]

In this case:

[tex]x = ??[/tex]

[tex]X = 68[/tex]

[tex]a = 66[/tex]

[tex]A = 35[/tex]

So, we have:

[tex]\frac{x}{\sin 68} = \frac{66}{\sin 35}[/tex]

Make x the subject

[tex]x = \frac{66}{\sin 35} * \sin 68[/tex]

Using a calculator, we have:

[tex]x = \frac{66}{0.5736} * 0.9272[/tex]

[tex]x = 115.063* 0.9272[/tex]

[tex]x = 106.68[/tex]

[tex]x \approx 107[/tex]

Answer:

5/7

decimal form : 0.714285-

Step-by-step explanation:

Answ

n-11 ≤ 19

or 11-n ≤ 19

Step-by-step explanation:

Mrk ME BRAINLIEST PLZZZZZZZZZZZZ

Answer:

∠U=103°

∠V=77°

∠T=103°

∠S= 77°

Step-by-step explanation:

:)

A slightly more accurate value is 38.28 cm^2, when using pi = 3.14

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

Explanation:

The vertical height of the rectangle is 4 cm, which forms the diameter of the semicircle. The diameter cuts in half to 4/2 = 2, which is the radius.

The area of a full circle with radius r = 2 cm is approximately pi*r^2 = 3.14*2^2 = 12.56 square cm.

Cut that in half to get (12.56)/2 = 6.28 square cm. This is the approximate area of the semicircle.

--------

The area of the rectangle is length*width = 6*4 = 24 square cm.

The triangle has its bottom portion of 4 cm (because 10-6 = 4) and its height is 4 cm, so we get the triangle area of base*height/2 = 4*4/2 = 8 square cm.

The last thing we do is add up all the results we got:

6.28 + 24 + 8 = 38.28

That rounds to 38 square cm when rounding to the nearest whole number.

Answer:

b

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

let a = second month's revenue

5000 = a(1.3)

a = 5000 / 1.3 = 3846

Answer:

25km

Step-by-step explanation:

50 km = x km

1 hr        3 hrs

From there, you cross-multiply and solve for x.

(50 km)*(3 hrs) = (x km)*(1 hr)

x km = (50)*(3)/(1) = 150km

Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:

50 km = x km

1 hr        0.5 hrs

(50 km)*(0.5 hrs) = (x km)*(1 hr)

x km = (50)*(0.5)/(1) = 25km

I hope that helps!

Given:

length of rectangle = 4 units

Height of rectangle = 2x + 6 units

To find:

Not given, so I will find area and perimeter of rectangle. If you want the length of the diagonal of the rectangle, please ask me.

Steps:

Perimeter of rectangle = 2(L + B)

                                      = 2( 4 + 2x + 6 )

                                      = 2( 10 + 2x )

                                      = 2 * 10 + 2 * 2x

                                      = 20 + 4x units

Area of rectangle = L * B

                             = 4 * (2x + 6)

                             = 4 * 2x + 4 * 6

                             = 8x + 24 units²

Therefore, the perimeter of the rectangle is 20 + 4x units, and the area of the rectangle is 8x + 24 units².

Happy to help :)

If you need any help, feel free to ask.

Answer:

we multiply 4 by 2x + 6

4(2x + 6) = 8x + 24

Answer:

40

Step-by-step explanation:

area of shaded region = area of whole figure - area of non shaded region

area of whole figure: The whole figure is a rectangle

The area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 10ft and the given length is 8ft

Hence area of whole figure = 10 * 8 = 80ft²

Area of non shaded region: the non shaded region also creates a rectangle

Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 5ft and the given length is 8ft

Hence, area of non shaded region = 5 * 8 = 40ft²

Finally we can find the area of the shaded region.

We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure

If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40

Then, area of shaded region = 80 - 40 = 40ft²

Complete question :

En France, en 1900, la taille moyenne des femmes était de 1,54 m et celle des hommes de 1,66 m. Entre

1900 et 2010 ces tailles moyennes ont augmentées d'environ 5,55%.

Calculer, en mètres, l'arrondi au centième des tailles moyennes des femmes et des hommes en 2010.​

Répondre :

Femmes = 1,63

Hommes = 1,75 m

Explication étape par étape:

Étant donné que :

Taille moyenne en 1900:

Hommes = 1,66 m

Femmes = 1,54 m

Pourcentage d'augmentation de poids d'ici 2010 = 5,55%

1 + 5,55% = 1 + 0,0555 = 1,0555

D'où,

Taille des femmes en 2010:

1,0555 * 1,54 = 1,62547 = 1,63 m

Pour la taille des hommes en 2010:

1,0555 * 1,66 m = 1,75213 = 1,75 m

Answer:

Here you go

Step-by-step explanation:

x=0,-4

Answer:

2 and 4

(i got it from khan)

Answer: Rounded to the nearest tenth is 5

4.96894409 is the exact answer

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

Yes

Step-by-step explanation:

Answer:

0.12, 6/50 are the answers.

Step-by-step explanation:

1/5 = 0.2

1.2/10 = 0.12

0.12 = 6/50

Have a nice day!

Answer:

0.12 or

[tex]\frac{3}{25}[/tex]

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:it’s a 50/50 chance

Answer:

5y-15=180

5y=180+15

5y=195

5y÷5y=195÷5

y=39

Answer:

Area=120

Step-by-step explanation:

[tex]Area=\frac{base1+base2}{2} *height[/tex]

[tex]Area=\frac{8+12}{2} *12[/tex]

[tex]Area=10*12[/tex]

[tex]Area=120[/tex]

The proportion of students who have at least one cat is 0.37

The correct option is : (D)

A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Total students samples=30

Students answered yes =11

The proportion of students who have at least one cat

= [tex]\frac{11}{30}[/tex]

= 0.367

≈ 0.37

Hence the proportion of students who have at least one cat is 0.37.

Learn more fraction here:

brainly.com/question/10354322

#SPJ2

Answer:

y= 7x+26

Step-by-step explanation: