find the missing lengths in the triangle. round to the nearest tenth if necessary

Find The Missing Lengths In The Triangle. Round To The Nearest Tenth If Necessary

Answers

Answer 1

Answer:

[tex]x=8,\\y\approx 6.9[/tex]

Step-by-step explanation:

The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].

Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]


Related Questions

what is the slope of the line shown below? (enter your answer as a decimal if necessary.)

Answers

Answer: The slope is 2 -Please mark brainliest

1. Find the X and Y values of each point

X1: 1

X2: -1

Y1: 3

Y2: -1

2. Subtract X1 from X2 and Y1 from Y2

Y: -1-3=-4

X: -1-1=-2

3. Divide the X value by the Y value

-4/-2=2

The slope of the line shown on the coordinate plane is 2.

Answer:

2

Step-by-step explanation:

(X1,Y1)=(1,3)

(X2,y2)=(-1,-1)

slope(m)=y2-y1/x2-x1

= -1-3/-1-1

= -4/-2

= 2

y=-3x+5
5x-4y=-3
pls help

Answers

Hello!

[tex]\large\boxed{x = 1, y = 2}[/tex]

We can solve this system using substitution.

Since y = -3x + 5, we can substitute this into the following equation:

5x - 4(-3x + 5) = -3

Simplify:

5x - 4(-3x) - 4(5) = -3

5x + 12x - 20 = -3

Combine like terms:

17x - 20 = -3

Add 20 to both sides:

17x = 17

x = 1

Substitute to find y:

y = -3(1) + 5

y = -3 + 5

y = 2

Solution: (1, 2)

Answer:

(1,2) x=1; y=2

Step-by-step explanation:

We can plug the value of Y into the second equation like so:

[tex]5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x=-3+20\\17x=17\\x=1[/tex]

Then we can plug the value of x into the first equation.

[tex]y=-3+5\\y=2[/tex]

(1,2)

Hope this helped! Please mark brainliest :)

Find each measure

Please help me

Answers

Answer:

19) 100

20) 360 - 90 = 270

21) 360- 125 = 235

22) 45

Step-by-step explanation:

Central angles and the arcs they create are congruent.

what is f(2)=
this thing had to be atleast 20

Answers

Can you clarify because this would be 2f and I don’t think this is the answer you are looking for

a right triangle has a leg of length 13 and a hypotnuse of length 41 yards. find the length of the other leg (nearest tenth)

Answers

The other leg would be 39 sum like dat

The equation px²+px+3q=1+2x has roots 1/p and q


(a) Find the values of p and of q​

Answers

Answer:

p = 2/3

q = 1/2

Step-by-step explanation:

The given equation is ,

[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]

We can write it as ,

[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]

Rearrange the terms ,

[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]

This can be written as ,

[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]

Now wrt Standard form of a quadratic equation ,

[tex]\bf \implies ax^2+bx + c = 0 [/tex]

we have ,

a = p b = p - 2 c = 3q - 1

We know that product of zeroes :-

[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]

Sum of roots :-

[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]

Is 7 1/5 times 49 7/5 equivalent to 343

Answers

Step-by-step explanation:

7 1/5=36/5

49 7/5=252/5

[tex] \frac{36 \times 252}{5 \times 5} \\ = \frac{9072}{25} \\ = 362.88[/tex]

not equal to 343

Brainliest please~

Solve the equation and enter the value of x below. 3(x + 4) = 123​

Answers

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]3(x + 4) = 123 \\ 3x + 12 = 123 \\ 3x = 123 - 12 \\ 3x = 111 \\ x = \frac{111}{3} \\ x = 37[/tex]

=> The answer is 37.

Answer:

X=37

Step-by-step explanation:

3(x+4)=123

3x+12=123

3x=123-12

3x=111

3x/3 =111/3

x=37

A student winds a strip of paper eight times around a cylindrical pencil of diameter 7mm use the value 22/7 as pie to find the length of the paper

Answers

Answer:

176mm

Step-by-step explanation:

Given

Diameter of the pencil = 7mm

First, we need to find the length of one roll of paper

Circumference of one roll = πd

Circumference of one roll = 22/7  *7

Circumference of one roll = 22mm

Since a student winds a strip of paper eight times around a cylindrical pencil, then the length of the paper = 8 * 22  = 176mm

A cubical house can hold 4096m of air .find the height of the house​

Answers

Answer:

16 m

Step-by-step explanation:

V = [tex]s^{3}[/tex]

4096 = [tex]s^{3}[/tex]

cube root of 4096 = 16

How many cookies will Tanya have if she bakes 12 more batches y = 70 + 18 (x)

Answers

y=70+18(x)

y=70+18(12)

y=70+216

y=286

Step-by-step explanation:

since Tanya bakes 12 more cookies,

x=12

y= 70 + 18(12)

y=70 + 216

y= 286

therefore, she bakes 286 cookies with twelve more batches

Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50. Please help ASAP!!!!

Answers

Answer:

what is the question you are only telling us the fact

Step-by-step explanation:

Solve the equation and enter the value of x below. 2 + 5(x - 9) = -18​

Answers

Answer:

x=5

Step-by-step explanation:

Distributive Property

[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]

x=5

Hope this helped! Please mark brainliest :)

Ross resides in an apartment where houses are arranged horizontally.
She resides at door number 3. If she wants to visit her friend Martha at
door number 7, how many houses should she cross?

Answers

Answer:

4

Explanation:

(a) Expand and simplify (4 + root3)(4 – root3).​

Answers

Step-by-step explanation:

just use (a+b)(a-b) = [tex]a^{2} - b^{2}[/tex][tex](4+\sqrt{3}) (4-\sqrt{3)} = 4^{2} - (\sqrt{3} )^{2} = 16 - 3 = 13[/tex]

answer is 13

Andrew lives at an altitude of 135 feet, and his friend Lisa lives at an altitude of -10 feet.

Andrew or Lisa residence is higher than Andrew or Lisa
residence.

Answers

Answer:

Andrew's residence is higher

HELPPP

___
Thank you

Answers

Answer:  

11.0.0035

12.39×10^-4

13.)0.00031

14.59800

15.3.6×10^9

Step-by-step explanation:

what is the answer to this?

Answers

The answer would be 90

The amount (mass) of Carbon in a 24 gram sample of Methane is 18 grams. Find the percent of carbon in the sample.

Answers

The percent of carbon in the 24 gram sample of methane is 75%.

To find the percent of carbon in the sample of methane, you can use the formula:

Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100

Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:

Percent of Carbon = (18 grams / 24 grams) * 100

Percent of Carbon = (0.75) * 100

Percent of Carbon = 75%

Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.

Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.

Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.

Learn more about percentage here:

https://brainly.com/question/24877689

#SPJ8

Find the value of x. PLEASE HELP ASAP

Answers

Hi there!

[tex]\large\boxed{A. \text{ } 7}[/tex]

The following trapezoidal theorem states that:

Middle segment = average of top and bottom side

Thus:

M = 1/2(b1 + b2)

21 - x = 1/2(17 + 11)

Solve:

21 - x = 1/2(28)

21 - x = 14

Subtract 21 from both sides:

-x = 14 - 21

-x = -7

Multiply both sides by -1:

x = 7

5- Observá el cartel y resolvé calculando el m.C.M entre las cantidades. FRECUENCIA A Mar del Plata, cada 2 horas A Necochea , cada 4 horas A San Clemente, cada 6 horas a) Si acaba de partir un micro a cada destino, ¿cuántas horas pasarán para que vuelvan a salir tres micros al mismo tiempo?

Answers

Respuesta:

12 horas

Explicación paso a paso:

Dado que :

A Mar del Plata = cada 2 horas

A Necochea = cada 4 horas

A San Clemente = cada 6 horas

Número de horas que tardarán los 3 autobuses en salir al mismo tiempo, si ambos salieron ahora;

Tome el mínimo común múltiplo de los 3 autobuses:

Múltiplos de:

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

4: 4, 8, 12, 16, 20, 24, 28, 32

6: 6, 12, 18, 24, 30, 36, 42

El mínimo común múltiplo de 2 horas, 4 horas y 6 horas es 12;

Por lo tanto, los 3 autobuses saldrán a la misma hora en las próximas 12 horas:

A company borrows $100,000 for 5 years at a simple interest rate of 10.5%. Find the interest paid on the loan
The interest paid on the loan is ?
The total amount paid is ?

Answers

Answer:

$52,500

$152,500

Step-by-step explanation:

$100,000 * .105 = $10500

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed??​ Solve fast​

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

tìm nghiện của đa thức
A.x-2
B.2x-7
C.(X-4)*(2-3X

Answers

Answer:

C.

make me brainlest if you copy okay

Can someone please help me with this?

Answers

Answer is x=1.5 100% jus took it lol

A group of hospital workers belonging to a union each earn the same hourly wage. The union dues are 2 percent of each paycheck regardless of whether the employee works full-time, half-time, or quarter-time. Does this mean that the amount of money deducted will be the same for all the employees?

Answers

Answer:

No, different amounts will be deducted.

Step-by-step explanation:

Because the amount deducted is a percent, it changes based on the total amount.

For example, If someone takes 10% of $100, they will have taken $10. And if they take 10% from someone who has $10, they will have taken $1.

Good luck!

En las olimpiadas de Matemática. Roció represen a su colegio. La prueba consistía en 60 problemas. Cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra. Luego del examen. Roció obtuvo un puntaje de 155. Ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas

Answers

Answer:

Rocío respondió 43 preguntas correctas y 17 incorrectas.

Step-by-step explanation:

Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:

60 x 4 = 240

40 x 4 - 20 = 140

45 x 4 - 15 = 165

42 x 4 - 18 = 150

43 x 4 - 17 = 155

Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.

Solve the system of equations.
8x + 5y = 24
y = -4x
x =
y =

Answers

Answer:

x = -2

y = 8

Step-by-step explanation:

8x + 5y = 24

y = -4x

8x + 5 (-4x) = 24      (Substitute y value)

8x - 20x = 24           (Multiply)

-12x = 24                   (Combine like terms and divide)

x = -2

y = -4 (-2)                   (Substitute x value. Multiply)

y = 8

The relationship between miles and kilometers is shown in the table below.

Miles
Kilometers
18.2
29.12
29.5
47.20
34.1
54.56
52.8
84.48

How many miles are in 19.08 kilometers?
11.925
17.48
20.68
30.528

Answers

Answer:

Step-by-step explanation ithink your are correct because that there 19.08+18.3=11.925

Answer:

11.925

Step-by-step explanation:

Rectangle PQRS is rotated 90° clockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (negative 3, negative 1), (negative 1, negative 1), (negative 1, negative 4), (negative 3, negative 4).

What are the coordinates of R’?
R’(4,–1)
R’(–4,1)
R’(1,4)
R’(–1,–4)

Answers

Answer:

R'  (-4 , 1)

Step-by-step explanation:

Rotation of 90°

(Clockwise)

(x, y) ----> (y, -x)   (take opposite of x, then switch the x and y)

Rotation of 90°

(CounterClockwise)

(x, y)------>(-y, x)

Rotation of 180°

(Both Clockwise and Counterclockwise)

(x, y) ----->(-x, -y)

Rotation of 270°

(Clockwise)

(x, y) ----->(-y, x)

Rotation of 270°

(CounterClockwise)

(x, y)------>(y, -x)

Answer:

The answer is: R'(-4,1).

Step-by-step explanation:

If the 90 degree angle is clockwise, the new figure will be in quadrant 2 (or in the section directly above the pre-image). Therefore, (x,y) maps to (y,-x), which will give us (-4,1).

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