What is the length of leg s of the triangle below?
45
4-12
90°
45

Answer:

14.3

Step-by-step explanation:

sin73 = opposite/hypotenuse = x/15

x = 15sin73 = 14.344571 = 14.3

Answer:

x = 8 cm

Step-by-step explanation:

The first step in solving this problem is to determine which trig function applies.  The diagram shows that this triangle is a right triangle, that side x is opposite the 25-degree angle, and that the hypotenuse has a length of 18 cm.  

The sine function of an angle Ф is defined as the ratio of the opposite side to the hypotenuse.  In this case, sin Ф (or sin 25 degrees) equals x/(18 cm).

We need to determine the value of x.  Adapt the above equation to this particular situation:  sin 25 degrees = x/(18 cm).

To solve for x, multiply both sides of the most recent equation, above, by (18 cm).  The following results:  (18 cm)(sin 25 degrees) = x.

Next, use a calculator to find the value of sin 25 degrees:  It is 0.4226.

Then the desired value of x is (18 cm)(0.4226), or x = 7.61 cm.  This should be rounded off to x = 8 cm to reflect the level of accuracy of the given 18 cm.

Answer:

D

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × product of 2 sides × sine ( angle between them ) , that is

A = 0.5 × 5.04 × 6.82 × sin61.73° ≈ 15.14 ( to 2 dec. places )

8:-

[tex]\\ \sf \longmapsto 5x+20=40[/tex]

[tex]\\ \sf \longmapsto 5x=40-20[/tex]

[tex]\\ \sf \longmapsto 5x=20[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{20}{5}[/tex]

[tex]\\ \sf \longmapsto x=4[/tex]

9:-

As its a isosceles triangle

[tex]\\ \sf \longmapsto x+y+60=180[/tex]

[tex]\\ \sf \longmapsto 2x+60=180[/tex]

[tex]\\ \sf \longmapsto 2x=120[/tex]

[tex]\\ \sf \longmapsto x=y=60[/tex]

[tex]\\ \sf \longmapsto z=x+60÷60+60=120[/tex]

Answer:

0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.

Step-by-step explanation:

For each couple, there are only two possible outcomes. Either they paid for their honeymoon, or they did not. The probability of a couple having paid for their honeymoon is independent of any other couple, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is known that seventy percent (70%) of married couples paid for their honeymoon themselves.

This means that [tex]p = 0.7[/tex]

You randomly select 9 independent married couples.

This means that [tex]n = 9[/tex]

What is the probability that all married coupled asked stated they paid for their honeymoon themselves?

This is P(X = 9). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{9,9}.(0.7)^{9}.(0.3)^{0} = 0.0404[/tex]

0.0404 = 4.04% probability that all married coupled asked stated they paid for their honeymoon themselves.

Answer:

22%

Brainliest, please!

Step-by-step explanation:

78 - 64 = 14

14 / 64 = 0.21875

= 22% (when rounded)

The time that taken for the two trains is 1.2 hours.

The computation of the time taken for the two trains is shown below:

Given that

The westbound train travels 55 miles per hour.

And, the eastbound train travels 75 miles per hour.

So, the total speed is

= 55 miles per hour + 75 miles per hour

= 130 miles per hour

The distance is 156 miles

So, the time taken is

[tex]= \frac{distance}{speed}\\\\= \frac{156\ miles}{130\ miles\ per\ hour}\\\\[/tex]

= 1.2 hours

Therefore we can conclude that the time that taken for the two trains is 1.2 hours.

Learn more about the speed here: brainly.com/question/21791162

Answer:

1.2 hours

Step-by-step explanation:

Given data:

Speed of the westbound train = [tex]55 miles/hr[/tex]

Speed of the eastbound train = [tex]75 miles/hr[/tex]

Since the trains are moving in the opposite direction their relative speed becomes,

[tex]55 miles/hr +75 miles/hr=130 miles/hr[/tex].

Since, time = distance / speed

Now the time taken for the two trains to be 156 miles apart

[tex]time = \frac{156 miles}{130 miles/hr} \\=1.2 hours[/tex]

Hence, the time taken for the two trains to be 156 miles apart = [tex]1.2 hours[/tex]

For further understanding of the solution visit https://brainly.com/question/11348729

Answer:

-w²+49x²-8wx

Step-by-step explanation:

if you want how I did this it's quite lengthy so let me know if you want the process

Answer:

-w^2 + 21xw - 64x ^2

Step-by-step explanation:

Answer:

$5000 per year

Step-by-step explanation:

Given data

initial value of the computer= $30000

Final value = $0

Duration= 6years

Hence the rate of change in the value per year is

=30000/6

=$5000 per year

Answer:

a > 32 is one possible solution to the inequality 1/4a +1 > 9.

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are 36 squares

red takes 1 of 4 so red has 9

blue takes 1 of 3 so blue has 12

5 of 12 of the grid is yellow

Answer:

? ≈ 65°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{19}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{8}{19}[/tex] ) ≈ 65° ( to the nearest degree )

Answer:

The answer the above question is f(x) = x²

Answer:

fdybg

gyani

2574387y

sngsrh

funddhhtffdsdnjjj

Answer:

The usual way to draw a 3-D grid can be seen below.

The positive z-axis points upwards

The positive y-axis points to the right

The positive x-axis points towards you, or to the front.

And the notation for a point in 3-D is (x, y, z)

In this case, our point is (-3, -2, 3)

Then the location of the point can be described as:

So the x-value is -3, which means that the point is 3 units behind the origin.

The y-value is -2, which means that the point is 2 units at the left of the origin

The z-value is 3, which means that the point is 3 units above the origin.

Answer:

40km per hour

Step-by-step explanation:

30 minutes × 2 = 60 minutes/1 hour

80 kilometers ÷ 2 = 40 kilometers

40:60

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

A system of equations, involving two linear lines has solutions as follows:

In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.

We are asked to comment on her conclusion.

To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.

Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.

Thus, the slope for:-

Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.

Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.

Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.

Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.

Learn more about the system of equations at

https://brainly.com/question/17149879

#SPJ2

Answer:

as it is cbe the volume of cube is l*l*l

Step-by-step explanation:

the answercis 5*5*5= 125

[tex]\\ \sf\longmapsto 1+tan^2A[/tex]

[tex]\boxed{\sf tanA=\dfrac{sinA}{cosA}}[/tex]

[tex]\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}[/tex]

[tex]\boxed{\sf cos^2A+sin^2A=1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1-sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{sin^2A}[/tex]

Hence verified

Answer:

y = 3/2 - 4

A. is the answer

A. 3x – 2y = 8

Step-by-step explanation:

3x – 2y = 8

-2y =8 - 3x

y = - 4 + 3/2x

y= 3/2x - 4

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] and c = - 4 , then

y = [tex]\frac{3}{2}[/tex] x - 4 ← equation in slope- intercept form

Multiply through by 2 to clear the fraction

2y = 3x - 8 ( subtract 2y from both sides )

0 = 3x - 2y - 8 ( add 8 to both sides )

8 = 3x - 2y , that is

3x - 2y = 8 ← in standard form → D

Answer:

D

Its isnt a regualr polygon because its sides are not all equilingular like a sqaure triangle octagon and so on

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

Answer:

The chalkboard costs $54.00

Step-by-step explanation:

A chalkboard is in a shape of a rectangle. The chalkboard mentioned measures 1 meter by 2 meters.

The area of a rectangle is given by the formula:

A = lw

Use formula:

A = (2)(1) = 2 m^2

The chalkboard costs $27.00 per square meter so:

2 x 27 = 54

The chalkboard costs $54.00

Answer:

-60

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 3599}[/tex]

Step-by-step explanation:

= 61 × 59

You can write 61 = 60 + 1 and 59 = 60 - 1

Hence,

= ( 60 + 1 ) ( 60 - 1 )

According to the formula:

[tex](a+b)(a-b) = a^2-b^2[/tex]

= (60)² - (1)²

= 3600 - 1

= 3599

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Solution :

Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.

So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.

Thus in the quadrilateral ABCD we see that :

1. AC and DB are the diagonals of quadrilateral ABCD.

2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)

3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )

4. Angle ABE is congruent to angle CDE. (Angle side angle)

5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)

Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.

Answer:

△ABE and△CDE by side-angle-side

Answer:

Option B, random sample

it should be the answer

The given information is an example of a random sample. The correct option is B.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

It is given that A sample is generated from a population of 20 items. Each of the 20 items is given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample.

The above information is an example of a random sample. Follow the given definition above.

To know more about random samples follow

https://brainly.com/question/24466382

#SPJ2

Answer:

A - 55 degrees

Step-by-step explanation:

secant-tangent angle: 1/2(larger-smaller)

1/2(180-70)

1/2(110)

55 degrees

Answer:

The angles in the triangle and 10, 80 and 90

Step-by-step explanation:

The two angles that are left in a right triangle add to 90 degrees

8:1 means that there total is 9

8x+1x = 9x

9x = 90

Divide by 9

9x/9 = 90/9

x = 10

8*10 = 80

1*10 = 10

The angles are 80 and 10

The angles in the triangle and 10, 80 and 90

Answer:

n = 0

Step-by-step explanation:

[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]

Answer:

n = 0

Step-by-step explanation:

-3/4(8h + 12) = 3(n - 3)

-6h - 9 = 3n - 9

-6h - 3n = -9 + 9

-9n = 0

n = 0

Answer:i would say 2 differentt teams where there is more then women than men in the team

Step-by-step explanation:

well how i came to this answer is that the team is limited to only 5 people giving the only team where there is more women over men is this first team would be 4 women and 1 men , second team would be 3 women and 2 men anything lower then 3 make its where the team has more men than women so the only options would be 2 team where either they go with 4 women or 3 women and you can't go with more then 4 because then there would be no men in the team which is what the question asks for please go with 2 teams

if this helps please make me brainlist ?!