Which choice is equivalent to the expression below?

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:

5.10

Step-by-step explanation:

Answer:

6 5/8

you want to solve the whole numbers and fraction parts sepreatly then combine.

Answer:

53/8

Step-by-step explanation:

[tex]16\frac{7}{8} -10\frac{1}{4}[/tex]

convert to improper fractions

[tex]\frac{7+16*8}{8} -\frac{1+10*4}{4}=\frac{135}{8} -\frac{41}{4}[/tex]

the common denominator is 8, so multiply the second fraction by [tex]\frac{2}{2}[/tex].

[tex]\frac{135}{8} -\frac{41*2}{4*2}=\frac{135}{8} -\frac{82}{8}[/tex]

subtract

[tex]\frac{135}{8} -\frac{82}{8}=\frac{135-82}{8}=\frac{53}{8}[/tex]

Answer:

y= 7x+26

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Graph 4

Answer:

24/25

Step-by-step explanation:

COS = adjacent/hypotenuse

Answer:

24/25

Step-by-step explanation:

my answer is 24/25

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

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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:

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:

option B

Step-by-step explanation:

Answer:

The center is (-3,-6) and radius=4. And the equation will be:-

[tex](x + 3) {2} + (y + 6) {2} = 16[/tex]

Answer:

5/7

decimal form : 0.714285-

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

all you have to do is 36 ➗ 3/4

which is equal to 48

Answer:

x ^2/ 6

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Answer:

0.16

Step-by-step explanation:

I took the test

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:

45

Step-by-step explanation:

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:

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:

Step-by-step explanation:

Answer:

78°

Step-by-step explanation:

when two lines intersect it creates 4 seperate angles, here it gives us 78°, and we know that the angle across from it is the same, so they equal.

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:

I’m pretty sure it’s A but if not then D

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

The outside of the circle will measure 360 all of our known values are added up to equal 240 so subtract it from 360 to get 120

Now divide 120 by half to get 60 since the outside is double the size of the inside

Hope this helps

Answer:

60

Step-by-step explanation:

Angle R is an inscribed angle so it is 1/2 of TS. Since a circle is 360 degrees, we find TS by subtracting (90 + 150) from 360 which gives us TS = 120.

x = 1/2(120) = 60 degrees

Answer:

The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths. Therefore, more than one triangle exists with the given angle measures.

Answer:

I answered

Step-by-step explanation:

Answer:

You separate all this number then you put them in ascending order then you start to draw a line to get your median so our median is 25

Answer:1/2

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

Answer:

Here you go

Step-by-step explanation:

x=0,-4

Answer:

2 and 4

(i got it from khan)

Answer:

The Dietary Guidelines for Americans, on the other hand, suggest restricting sodium consumption to less than 2,300 mg per day—roughly 1 teaspoon of salt!