Determine how triangles WXY and WZX can be shown to be similar

The solution of the expression (24 x (1/6) is ( 4 / 1 ).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The expression will be calculated as:-

E =  24 x 1/6

E = 24 / 6

E = 4 / 1

Hence, the solution of the given expression is ( 4 / 1).

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the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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Answer:

2. 17/2

3.  5/2

4. 6

5. 9

6. 8

Step-by-step explanation:

Answer:

Hello! :) Have a good day!

2.    17/2

3.    X = 5/2

4.    X = 6

5.    X = 9

6.    X = 8

Answer:

186cm im pretty sure

Step-by-step explanation:

Answer:

The perimeter is 186 centimeters.

Step-by-step explanation:

The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:

31 + 31 + 31 + 31 + 31 + 31

Or in simpler terms:

31 times 6.

All you need to do is multiply, and the answer comes out to 186cm

Answer:

Step-by-step explanation:

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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The value of x on the line is (d) 55

From the question, we have the following parameters that can be used in our computation:

The parallel lines and the transversal

Given that the line a and b are parallel line, we have the following equation:

x + 45 = 100

Subtract 45 from both sides of the equation

So. we have

x = 100 - 45

Evaluate

x = 55

Hence, the value of x is 55

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If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tanisha's website had x visitors on Friday.

On Saturday, it had 500 more visitors than it did on Friday. That is x + 500

The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2

Then the total number of the visitors will be

→ Friday + Saturday + Sunday

Then we have

\(\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750\)

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

x is less than -3

Step-by-step explanation:

3x^2+9x<0

x^2+3x<0

x(x+3)<0

x+3<0

x<-3

Answer:

\(The\) \(Answer\) \(Is:\) \(\frac{3}{9}\) \(&\)& \(\frac{5}{15}\)

Step-by-step explanation:

Divide by 4 , 2nd fraction Divide by 5:

3/4 ≠ 4/5

5/6 ≠ 6/5 We can already see it.

Divide by 3. . .

2/4 ≠ 3/4

Divide by 3 , 2nd fraction Divide by 5:

1/3 = 1/3 \(Perfect!\)

The answer is, \(\frac{3}{9}\) & \(\frac{5}{15}\)

Answer:

-4,-4

Step-by-step explanation:

Answer:

slope=0

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

can you please let us have the answer to your time

Answer:

All the engine fan blades must be replaced

Step-by-step explanation:

From the question we are told that:

Sample size \(n=71\)

\(\sigma^2 = 0.18 mm2\)

Variance \(s^2=0.32\)

Level of significance \(\alpha =0.01\)

Generally the hypothesis is

The test hypothesis is

Null \(H_0:\sigma^2<=0.18\)  

Alternative \(Ha:\sigma^2>0.18\)

Generally the equation for Chi distribution  is mathematically given by

The test statistic is  

\(X^2 = \frac{(n-1)*s^2}{\sigma^2}\)  

\(X^2={70*0.32}{0.18}\)  

\(X^2= 124.4\)

Since

Critical Value

\(C_{\alpha, df}=C_{0.99 , 70}\)

\(C_{0.99 , 70} =100.4252\)

Hence, we Reject \(H_0\) ,Given that 124.4 is Greater than 100.4252

Therefore

All the engine fan blades must be replaced

Answer:

Step-by-step explanation:

You are being asked for the equation of a circle, and a description of what it is.

The distance equation tells you that the distance of (x, y) from (h, k) is ...

  d = √((x -h)² +(y -k)²)

If this distance is r, the radical can be removed, and we can write the equation as ...

  (x -h)² +(y -k)² = r² . . . . formula for P(x, y)

This is a circle of radius r, with a center at (x, y) = (h, k).

The equation of a circle of radius r with center at (x, y) = (x -h)² +(y -k)² = r².

Given that, P(x, y) is a distance r>0 from a fixed point C(h, k).

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x1,y1) and radius r is (x-x1)²+(y-y1)²=r²

Using distance formula,

The distance between (x, y) from (h, k) is

d = √((x -h)² +(y -k)²)

If this distance is r, then we get

(x -h)² +(y -k)² = r²

Hence, the equation of a circle of radius r with center at (x, y) = (x -h)² +(y -k)² = r².

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Answer:

-6

Step-by-step explanation:

y-intercept of 3x – 4y = 24

=> x=0

3(0) -4y=24

-4y=24

y = 24/(-4) = -6

the point is (0, -6)

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well Coefficent means its by it self with is called a constant. A coffecient is a number used to mulitpy a varable

Answer:

52m

Step-by-step explanation:

rhombus

its like a slanted square

all its 4 sides are equal like a square

both pairs of opposite sides are parallel

when the diagonals criss cross they make 4 triangles inside

the sides of the rhombus become the hypotenuse of a triangles inside

if the diagonal is 24 and 10 then

its radius is 12 and 5

the sides of the rhombus become the hypotenuse of a triangle that have the sides 12 and 5

hypotenuse of a triangle that has the sides 12 and 5 is

13

(its a special triangle: its a 5, 12, 13 right triangle)

13 times 4 is 52

The area of the composite figure is 378.5 square feets.

We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.

Remember that the area of a rectangle of width W and length L is given by:

A = L*W

So the area of this rectangle is:

A = 30ft*10ft = 300ft²

And the area of a circle whose diameter D is:

A = 3.14*(D/2)²

So in this case the area of the circle is:

A = 3.14*(10ft/2)²

A = 3.14*(5ft)² = 78.5 ft²

Then the total area of the composite figure is:

area = 300ft² + 78.5 ft²

area = 378.5 ft²

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Answer: 8squares

Step-by-step explanation:

an = an - 1 . 7; 4,802 is the recursive formula for the geometric sequence.

What exactly is a geometric series?

A geometric sequence is a set of integers that follows a pattern where each term is multiplied by a fixed number called the common ratio, or r, to find the following term.

                             2, 4, 8, 16, 32, 64,..., which has a common ratio of 2, is an illustration of a geometric sequence.

2, 14, 98, 686, ...

as shown in total

2 * 7 = 14             14 * 7 = 98          98 * 7 =   686

So   aₙ = aₙ₋¹

     a₅   =   a₄  . 7

           =    686  . 7  =  4802

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The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

B

Step-by-step explanation:

The great-circle distance, orthodromic distance, or spherical distance is the distance along a great circle. It is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior).