7 Question Find the value of x.

Answer:

BC = 5.87

Step-by-step explanation:

To find the last angle:

180° - 50° - 90° = 40°

Once we know that, we can use our given side angle pair to figure out the length.

[tex]\frac{7}{sin(50)}[/tex] * [tex]\frac{?}{sin(40)}[/tex] -> [tex]\frac{7*sin(40)}{sin(50)}[/tex]= ?

Then we plug into a calculator to get: 5.87

Answer:

5.87

Step-by-step explanation:

Concepts

The three different trigonometric functions are sine, cosine, and tangent. They can be memorized as the mnemonic SOHCAHTOA, where:

The hypotenuse will always stay the same, but depending on the highlighted angle, the opposite and adjacent side can change.

Application

In this case, we're asked to find the length of BC. We're given the length of the opposite side as 7 units. The adjacent side to m∠50° is BC. Since we're dealing with opposite and adjacent, we're going to be using tangent.

Solution (Calculator Needed)

Answer:

A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

Step-by-step explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]

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

Explanation:

We have five slots which we can label A,B,C,D,E

We start at 8 and count down by 1 each time until all slots are accounted for. Then multiply out those items: 8*7*6*5*4 = 6720

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

Another approach is to use the nPr permutation formula.

Plug in n = 8 and r = 5.

[tex]n P r = \frac{n!}{ (n-r)! }\\\\8 P 5 = \frac{8!}{ (8-5)! }\\\\8 P 5 = \frac{8!}{ 3! }\\\\8 P 5 = \frac{8*7*6*5*4*3!}{ 3! }\\\\8 P 5 = 8*7*6*5*4\\\\8 P 5 = 6720\\\\[/tex]

In the second to last line, the "3!" factorial terms cancel out.

We have the string 8*7*6*5*4 show up again to help reinforce the previous section.

The rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]

The formula of the sequence is given as:

an = 9(0.4)^n

The above means that:

The sum Sn is then represented as:

[tex]S_n =\frac{a(1 - r^n )}{1 - r}[/tex]

So, we have:

[tex]S_n =\frac{9 * (1 - r^n )}{1 - 0.4}[/tex]

Evaluate the difference and divide

[tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]

Hence, the rule that the defines the sum Sn is [tex]S_n =\frac{9 * (1 - r^n )}{0.6}[/tex]

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For the basket with 4 different types of marbles, there are  4,096 combinations in which we can select 6 marbles (in order).

Here we need to identify the number of selections. We have 6 selections (assuming that order matters).

Now we need to find the number of options for each of these. We know that there are 4 different colors of marbles, then for each selection, we have 4 options:

The total number of combinations is given by the product between the numbers of options, so we have:

C = 4*4*4*4*4*4 = 4,096 combinations.

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Answer:

339.12 cm²

Explanation:

surface area of cone: πr² + πrl

where "r" is radius, "l" is slant height

Here given:

Solve for surface area:

So

TSA

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

Question : A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 120m . Find area .

36000 sq. m

Given :

parallelogram is 300 m long and distance between base and its opposite side is 120m* .

Length = 300 m

Perpendicular height = 120 m

Area of parallelogram = Length × Perpendicular height.

=> 300 × 120

=> 36000 sq. m

For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The point is given as (3, 3.5).

Then name a second point so that the two points form a horizontal segment.

For the horizontal segment, the value of the ordinate will not change.

Let x be the abscissa.

Then the point will be given as (x, 3.5).

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Answer:

3/7

Step-by-step explanation:

Probability = number of favorable outcomes/total number of possible outcomes

We know the total number of possible outcomes is 14 since there are 14 sides to the dice.

Let's find how many of those numbers are prime numbers.

2, 3, 5, 7, 11, and 13 are all the prime numbers between 1 and 14, so there are 6 favorable outcomes.

Now create the fraction then reduce.

6/14 reduce by 2/2

3/7

Answer:

a. 5a + 3b-5

b. 4e^2 + f^2 + f

c. 42xy(z)^2

d. 7x(y)^2

Step-by-step explanation:

I added/subtracted/multiplied/divided like terms.

Answer:

[tex]\frac{8}{21}[/tex]

Step-by-step explanation:

let S be the sample space for this experiment.

card(S) = 10C4 = 210

Let E be the event “having 3 female and only one  male”

card(E) = 6C3 × 4C1 = 80

therefore

p(having 3 female and only one male escaped) is 80/210

[tex]\frac{80}{210} =\frac{8}{21}[/tex]

Answer:

2500m³

Step-by-step explanation:

A = length x width x height

50m x 25m x 2 m

=2500m³

A percentage is a way to describe a part of a whole. The percentage of 4c that is equal to 0.04c is 1%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The percentage of 4c that is equal to 0.04c can be found as,

x% of 4c = 0.04

(x/100) × 4c = 0.04

[tex]x = \dfrac{0.04c \times 100}{4c}[/tex]

x = 1%

Hence, the percentage of 4c that is equal to 0.04c is 1%.

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Answer:

x = 5

Step-by-step explanation:

make them equal to each other

3x = 4x-5

x = 5

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Answer:

A rhombus

Step-by-step explanation:

A rhombus is a parallelogram with 4 congruent sides and it always has four congruent sides. It also has two pairs of equal angles.

Answer: rhombus

Step-by-step explanation: Correct answer is a rhombus! A rhombus is a parallelogram with 4 congruent sides and it always has four congruent lines . a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

  walk area = 125.6 m²

Step-by-step explanation:

You are asked for the area of a sidewalk of given width that is around a circle of given radius. The pattern you're asked to fill in would have you compute the area of the inner circle, and of the outer circle, then find the difference between the areas.

__

The formula for the area of a circle is ...

  A = πr²

The radius is shown as 11 m, so its area is ...

  A = π(11 m)² = 121π m² = 379.94 m²

The radius is shown as 9 m, so its area is ...

  A = π(9 m)² = 81π m² = 254.34 m²

The difference between the two areas is ...

  walk area = big circle area - small circle area

  walk area = 379.94 m² -254.34 m² = 125.6 m²

_____

Additional comment

The area can also be computed by multiplying the centerline length of the sidewalk by its width. The center of the walk is (9+11)/2 = 10 m from the centers of the circles, so the circumference (centerline length) is

  C = 2πr = 2(3.14)(10 m) = 62.8 m

The width of the sidewalk is 11 -9 = 2 meters, so its area is ...

  (2 m)(62.8 m) = 125.6 m² . . . . sidewalk area

The distance the blades travel in 1/5 of a rotation is 32.67 in

Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length

The length of an arc is given by

L = Ф/360° × 2πr where

Since

So, substituting the values of the variables into the equation, we have

L = Ф/360° × 2πr

L = 72°/360° × 2π × 26 in

L = 1/5 × 52π in

L = 10.4π in

L = 32.67 in

So, the distance the blades travel in 1/5 of a rotation is 32.67 in

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Answer:

I don't know how to explain

Answer:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.

Step-by-step explanation:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]

Step-by-step explanation:

Given Fraction:

[tex]\displaystyle =-\frac{2}{8}[/tex]

Divide both numerator and denominator by 2 to simplify.

[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]

#10

Option A and B

#11

Option C

Answer:

   10. (2) x - 3

    11. (3) 5a

Step-by-step explanation:

Question 10

Question 11

Simplifying

The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.

Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,

[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]

The probability of  population to be not O-negative,

[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]

The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,

[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]

Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.

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Answer:

the answer is 225

Step-by-step explanation:

y+135=360

y=360-135

y=225

Answer:

3

Step-by-step explanation:

32 - 5v = 3v + 8

Subtract V from both sides

So . .

= 32 -8v = 8

Now . .

Subtract 32 from both sides

Now divide to get your answer!

-24 / -8 = 3

Answer:

The product of the functions f(x) = x2 and g(x) = x - 8 is f(x).

The resulting ordered pair if the value of the independent variable is –2 will be B. (-2, -4).

From the information given, it was stated that we should calculate the resulting ordered pair if the value of the independent variable is –2.

Therefore, in this case, x = -2. Therefore, we will play it into the equation. This will be:

f(x)=2x³ +3x²

= 2(-2)³ + 3(-2)²

= -16 + 12

= -4

Therefore, the ordered pair will be (-2, -4).

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Answer: The mean of the data is 278.

Step-by-step explanation:

To the the mean of the data, we’ll have to add all the numbers up and divide it by the amount of data.

275+279+279+276+278+277+280+282+284+270=2780

2780/10=278

Answer:

U={1,2,3,4,5,6,7,8,9,}

A={1,3,5,7,9}

B={2,4,6,8}

C={1,2,3,4,5,6}

now,

A∩B={nothing}U c

={1,2,3,4,5,6,7}

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