Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T s V U Write your answer as a whole number or as a decimal rounded to the nearest hundredth. TU = Submit JUN E​

Social Studies Geometry P.11 Similarity And Altitudes In Right Triangles CEZ You Have Priz If SU = 28

Answers

Answer 1

Answer:

TU ≈ 12.96

Step-by-step explanation:

Using the Altitude on Hypotenuse theorem

(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )

TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )


Related Questions

Express sin T as a fraction in simplest terms.

Answers

Answer:

sinT = [tex]\frac{15}{17}[/tex]

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT  = [tex]\sqrt{1156}[/tex] = 34 , then

sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]

Pls need help in test

A fruit stand has to decide what to charge for their produce. They charge $8 for 4 apples and 4 oranges. They also charge $10 for 6 apples and 4 oranges. If we put this information into a system of linear equations, can we find a unique price for an apple and an orange?

A. Yes; they should charge $1.00 for an apple and $1.50 for an orange.
B. Yes; they should charge $1.00 for an apple and $1.00 for an orange.
C. No; the system has many solutions.
D. No; the system has no solution.

Answers

i think its C.No;the system has many solución

Answer:

thanks the quark is w wl1pp39iejbs sthe akwyve s akw9u27 2babe

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MATH


WRITE THE SEQUENCE AS AN EQUATION USE X TO REPRESENT “ a number “

Six times the difference of 11 and a number is -72.

Answers

Answer:

6×11-x= -72

Step-by-step explanation:6×11-x= -7266-x= -72-x= -72-66-x=-138x=138checking:6×11-138= -7266-138= -72-72= -72

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The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter.

Answers

Given:

Kiosk is the combination of a cylinder and a cone.

Diameter of cylinder and cone = 5 m

Height of the cylinder = 3 m

Height of the cone = 2 m

To find:

The volume of the kiosk.

Solution:

We know that the radius is half of the diameter. So,

Radius of cylinder and cone = [tex]\dfrac{5}{2}[/tex] m

                                               = [tex]2.5[/tex] m

Volume of the cylinder is:

[tex]V_1=\pi r^2h[/tex]

Where, r is the radius and h is the height of the cylinder.

Putting [tex]\pi =3.14, r=2.5, h=3[/tex] in the above formula, we get

[tex]V_1=(3.14)(2.5)^2(3)[/tex]

[tex]V_1=(3.14)(6.25)(3)[/tex]

[tex]V_1=58.875[/tex]

Volume of a cone is:

[tex]V_2=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius and h is the height of the cone.

Putting [tex]\pi =3.14, r=2.5, h=2[/tex] in the above formula, we get

[tex]V_2=\dfrac{1}{3}(3.14)(2.5)^2(2)[/tex]

[tex]V_2=\dfrac{1}{3}(3.14)(6.25)(2)[/tex]

[tex]V_2\approx 13.083[/tex]

The volume of the kiosk is the sum of volume of cylinder and the volume of cone.

[tex]V=V_1+V_2[/tex]

[tex]V=58.875+13.083[/tex]

[tex]V=71.958[/tex]

[tex]V\approx 72[/tex]

Therefore, the volume of the kiosk is 72 cubic meter.

Can someone help me?

Answers

B. [tex] \sqrt{x} + \sqrt{x - 1} [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \\ \\= \frac{1}{ \sqrt{x} - \sqrt{x - 1} } \times \frac{ \sqrt{x} + \sqrt{x - 1} }{ \sqrt{x} + \sqrt{x - 1} } \\ \\ = \frac{ \sqrt{x} + \sqrt{x - 1} }{ ({ \sqrt{x} })^{2} - { (\sqrt{x - 1} })^{2} } \\\\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{x - (x - 1)} \\ \\= \frac{ \sqrt{x} + \sqrt{x - 1} }{ x - x + 1} \\ \\= \sqrt{x} + \sqrt{x - 1} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Solve for x.
9 <17 - 4.0
Enter your answer, as an inequality, in the box.

Answers

9 <= 17 -4x

Subtract t 17 from both sides:

-8 <= -4x

Divide both sides by-4,

2 <= x

Rewrite the inequality with the x on the left side.

Answer: x <=2

What are equivalent statements to a + 3 = 18 and 4 ∙ b = 32?

Answers

Answer:

a=18-3 and b=32÷8

Step-by-step explanation:

the first one

A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent?

Answers

Answer: The surface of the ocean

Answer: It represents being at the surface

Negative values are below the surface, while positive values are above the surface.

In other words, -9 means 9 feet below sea level. The value 0 is at sea level. Something like 12 means you're 12 feet above sea level.

factorize, completely each of the following expression
1-4h^2

Answers

Answer:

(1 + 2h)(1 - 2h)

Step-by-step explanation:

[tex]1 - 4h^2 = 1 ^2 - (2h)^2[/tex]

          [tex]=(1 - 2h)(1 + 2h)[/tex]                       [tex][ \ a^2 - b^2 = (a - b)(a+b) \ ][/tex]

22 dividido en 3 es?

Answers

Answer:

Step-by-step explanation:

7.3

Answer:

7.3

Step-by-step explanation:

22/3 = 22/3

(Decimal: 7.333333)

please help me with this i really need it, thank you!

Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.

Answers

13 miles

The soccer field is 5 miles from home in a straight line (=sr(3^2 + 4^2))
Plus the 8 miles to the library

Answer:

13 miles

Step-by-step explanation:

the distance from the soccer field to the library is 8 miles

the distance between home and soccer field is a hypotenuse, use Pythagorean theorem to find the distance.

[tex]a^2+b^2=c^2\\\\4^2+3^2=c^2\\\\16+9=c^2\\\\c^2=25\\\\c=5[/tex]

the distance is 5 miles

5 + 8 = 13 miles total

Substitute w = 4 into the following expression
10 – 4w​

Answers

Answer:

-6

Step-by-step explanation:

Substitute as in replace "w" with 4

10-4(4)

Multiply -4 and 4

-16

10-16=-6

Hope this helps

Answer:

-6 it wouldnt let me post this without having 20 letters in my answer

Step-by-step explanation:

10 - 4*4 = -6.

Find the diameter, given the circumference of a circle is 40.035 cm.

Answers

Answer:

12.75

Step-by-step explanation:

c = π x d

40.035= 3.14 x d

40.035/3.14 = 12.75

PLS HELP THIS IS DUE TODAY

Answers

Answer:

Draw a C plane and plot the dots if the coordinates

Answer:

it's a triangle draw the chart

Rewrite in simplest rational exponent form √x • 4√x

Answers

Answer:

4x

Step-by-step explanation:

[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]

[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]

According to a 2016 survey, 6 percent of workers arrive to work between 6:45 A.M. and 7:00 A.M. Suppose 300 workers will be selected at random from all workers in 2016. Let the random variable W represent the number of workers in the sample who arrive to work between 6:45 A.M. and 7:00 A.M. Assuming the arrival times of workers are independent, which of the following is closest to the standard deviation of W?
A. 0.24
B. 4.11
C. 4.24
D. 16.79
E. 16.92

Answers

Answer: B. 4.11

Step-by-step explanation:

Using Binomial distribution  ( as the arrival times of workers are independent).

Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.

As per given ,

p= 0.06, n=300

Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]

[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]

Hence, the correct option is B.

Which is an equation of a direct proportion?
A: y=16x+6
B: y=6x
C: y=6x−6
D: y=6x

Answers

Answer:

B) y=6x

Step-by-step explanation:

Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to arrive at 2:00 PM. They asked Hank to be sure to have his pool drained before they arrive. It is currently 8:00 AM Will Hank have the pool drained in time? The dimensions of the pool are 2m deep, 10m long, and 8m wide. Water can be drained at a rate of 130 gallons per minute.​

Answers

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

Yes, Hank will have the pool drained in time.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")Available time =  360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

Volume of the pool = Deep * Long * WideVolume of the pool = 2 m * 10 m * 8 mVolume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

1 m^3 ⇒ 264.172 gal160 m^3 ⇒ x

And we calculate:

[tex]x = \frac{160 m^{3}*264.172 gal }{1m^{3} }[/tex] (We cancel the unit "m^3)x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

Time to drain the pool =[tex]\frac{42267.52gal}{130\frac{gal}{min} }[/tex](We cancel the unit "gallon")Time to drain the pool = 325.1347692 minutesTime to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.

HELP, I don’t understand as this is due today!!!!

Answers

Answer:

in orange you cost 5.52

in apple you cost 3.9

Step-by-step explanation:

1 1/2=2×1+1=3

so multiplied the 3 in the price per pound

so in orange you got this solution

3×1.84=5.52

and in apple you got this solution

3×1.30=3.9

#CARRY ON LEARNING

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#100% SURE

pls help me wit this asap

Answers

Answer:

not sure but I think the answers c

Translate; a)A man's age 2 years ago b) the product of y and z​

Answers

Step-by-step explanation:

a. represent the man's current age by n. Two years ago his age was n - 2.

b. Multiplication of n by the product of y and z would be (y×z)×n.

Solve for X. Answer as a decimal.

Answers

Answer:

2

Step-by-step explanation:

Find the perimeter of the figure. SOMEONE PLS HELP ME IVE ASKED THIS QUESTION 3 TIMES NOW

Answers

Answer:

Step-by-step explanation:

The lengths of the tangents drawn from an external point tot he circle are equal.

RA = RB = 12.2

QA = QC = 5.9

PC = PQ - QC = 27.4 - 5.9 = 21.5

PC = PB = 21.5

QR = QA + RA = 5.9 + 12.2 = 18.1

PR = PB + RB = 21.5 + 12.2 = 33.7

Perimeter = PQ  +  QR + PR

                 = 27.4 +  18.1 + 33.7

                 = 79.2

A rectangular dog pen is constructed using a barn wall as one side and 63 m of fencing for the other three sides what is the maximum area of the dog pen

Answers

The answer is 129 meters addition

Covert 11 pints to fluid ounces plz

Answers

Answer:

176

Step-by-step explanation:

11 pints is 176 US fluid ounces

Evaluate the function f(x) = 3x2− 2x for x= 4.

The value of the function f(x) = 3x2− 2x for x= 4 is _ .

Answers

Answer:

40

Step-by-step explanation:

f(4) = 3(4²) - 2(4)

= 3(16) - 8

= 48 - 8

= 40

when x=4, f(x) = 40

¿En que orden se deben escribir las funciones, para aplicar la integral definida cuando se desea calcular el área?

Answers

Answer:

Si querés calcular el área entre las funciones f(x) y g(x) en el rango (a, b), usualmente se calcula la integral de la función más grande en el intervalo menos la función más pequeña en el intervalo, es decir, si:

f(x) > g(x) para todo x ∈ (a, b)

Entonces calculamos:

[tex]\int\limits^b_a {(f(x) - g(x))} \, dx[/tex]

Puesto que el área se define como la encerrada por las dos curvas, y si lo hiciéramos de otro modo, las curvas no encerrarían ningun área.

Ahora, si no se cumple lo anterior, es decir, g(x) > f(x) en algún dado intervalo, entonces separamos la integral en distintas partes de tal forma que siempre definamos un área positiva.

es decir, si:

f(x) ≥ g(x)  para x ∈ (a, n)

g(x) ≥ f(x) para x ∈ (n, b)

entonces el área estará dada por:

[tex]\int\limits^n_a {f(x) - g(x)}dx \, +\int\limits^b_n {g(x) - f(x)} \, dx[/tex]

Two angles of a triangle are 120° and 6° What is the measure of the third angle?​

Answers

Answer:  54

The angles of a triangle add up to equal 180.

Since we already know two angles, we can just use simple math to find the third.

120 + 6 = 126

180 - 126 = 54

Answer:

54°

Step-by-step explanation:

A triangle ALWAYS measure a 180° Angle in total so if the first and second angle is 120° and 6°, just add it together and will form a 126° Angle so subtract it to 180° Angle and it will result in a 54° Angle

Thank you and please mark me as brainliest ^^

Use technology to find the line of best fit for the following data.



(1, 0), (2, 3), (3,1), (4,4), (5,5)



When the equation of the line is in the form y=mx+b, what is the value of **b**?



Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5

Answers

Given:

The data points are:

(1, 0), (2, 3), (3,1), (4,4), (5,5)

To find:

The equation of best fit line in the form of [tex]y=mx+b[/tex] and then find the value of b.

Solution:

The general form of best fit line is:

[tex]y=mx+b[/tex]              ...(i)

Where, m is the slope of best fit line and b is the y-intercept of the line.

Using the graphing calculator, we get the equation for the best fit line and the equation is

[tex]y=1.1x-0.7[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]b=-0.7[/tex]

Therefore, the value of b is equal to -0.7.

what is the lcm of 8 27 72​

Answers

Answer:

216

Step-by-step explanation:

Answer:

In common notation: lcm (27,72) = 216

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