Which set of values could be the side length of a 30-60-90 Triangle!

Answers

Answer 1
Your answer is A.

When you have a 30-60-90 triangle, your sides will always have a set pattern.

The side across from the 30 angle will be equal to n (in this case n = 4).

The side across from the 60 angle will always be equal to n√(3) (in this case, 4√(3)).

The side across from the 90 angle will always be 2n (in this case, 8).

You could go into trig or pythagorean theorem to prove this, but it's much simpler to remember it because it's a special triangle.

Related Questions

Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?

Answers

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

u = ⟨2, –3⟩v = ⟨1, –1⟩

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

Next, find the lengths of the vectors:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

u = ⟨2, –3⟩

[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]

     [tex]=\sqrt{13}[/tex]

u = ⟨2, –3⟩

[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]

    [tex]=\sqrt{2}[/tex]

Finally, the angle is given by:

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

Answer:

The Answer is A. 11.3

Step-by-step explanation:

got it right. Also thats just the letter answer  :)

Which of the following does not have the same value as 15 ^6

Answers

Answer:

B

Step-by-step explanation:

(15^3)^3 because the exponent outside of the parentheses multiplies both the 15 and the exponent inside the parentheses, so it's not 15^6, its 15^2 ^6

Jada's house is 3 and 2/5 miles from the library. Solve the equation to determine how long it will take her to walk from her house to the library if she walks at a steady speed of 4 miles per hour.

Answers

Time = distance / speed

Time = 3 2/5 miles / 4 miles per hour

Time = 17/5 / 4

Time = 17/5 x 1/4 = 17 x 1 / 5 x 4 = 17/20 hours

17/20 hours x 60 minutes per hour = 51 minutes.


function: f(x) = 2x + 1
It x = 0, what is the y output?

Answers

Answer:

1

Step-by-step explanation:

i think i helped successfully

Answer:

y= 1

Step-by-step explanation:

In the equation, the 1 means that it's the y-intercept

And whenever x is 0, then the y value is the y-intercept

So since x=0, then y=1

An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?

Answers

Answer:

2 secs after

Step-by-step explanation:

Given the height of the object modeled by the eqaution;

H(t) = 32T - 16T² where;

T is the time in seconds

The object hits the ground when h(t)= 0

Substitute H = 0 into the equation and get t as shown;

0 =  32T - 16T²

0-32T = -16T²

-32T = -16T²

32T = 16T²

32 = 16T

T = 32/16

T = 2secs

Hence the object hits the ground after 2 secs


State if each triangle is a right triangle: *

13 in
2 in
12 in

Answers

Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

graph the inequality y is greater then or equal to 3x-1
WILL MARK BRANLIEST
(also ik that i could used the inequality sign but it won't let me type it into the question)
i just need to know the ordered pairs pls help

Answers

Answer:

Ok so its (0,-1),(0.333,0)

Step-by-step explanation:

A reflection changes the shape of a figure.


True


False

Answers

Answer:

False

Step-by-step explanation:

A reflection does not change the shape of a figure.

For example, If you look into a mirror, you are looking at a reflection of yourself, but your face doesn't change into something else...! :)

Rosemary wants to buy a gift for her little brother this month, after she pays her bills. Should she buy a baseball glove for $22.95 or a T-shirt for $13.95? Use mathematics to justify your choice.

Answers

Answer:

T-shirt

Step-by-step explanation:

T-shirt because she has to pay bills.

Hope this helps plz hit the crown ;D

Plz I need help on #12

Answers

Answer:

C its C

Step-by-step explanation:

Answer:

The answer is the fourth one

Which graph represents the equation y = 3/4 x - 3

Answers

Answer:

Step-by-step explanation: you forgot to attach the file but it should look like this i think

Answer:

slope is 3/4

y-intercept is (0,-3)  Thats where you put your first point on the y-inter on -3

x    y

0   -3

4     0

Put your second point at 4 (on the x)

then your slope is rise /run 3/4

then you should get your line on your graph

Step-by-step explanation:

What is 80% as a fraction in reduced form? 4 118 * 10 O​

Answers

Answer:

4/5 make me brainliest

Step-by-step explanation:

Answer:

B. 4/5

Step-by-step explanation:

We know that 80% as a fraction is 8/10, but that is not simplified. Both of the numbers have a common factor. We need to divide both by the GCF (Greatest Common Factor). The GCF of both numbers is 2. 8/2 is 4, and 10/2 is 5. That means the answer is 4/5. I hope this helps!

code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution

Answers

Answer:

The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]

We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.

[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]

Now, we've solved for y. So, we can substitute this into either equation and solve for x.

[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]

Now, we substitute our value for x into one of the original equations and solve for y.

[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]

Therefore, the solution to our system of equations is:

[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]

determine the type of triangle ​

Answers

Scalene right triangle-

None of the angles are congruent so it’s scalene, but since a it has a 90 degree angle it is also a right triangle

96 =-8(p-5)



help pls

Answers

Answer:

p = −7

Step-by-step explanation:

96=−8(p−5)

96=(−8)(p)+(−8)(−5)(Distribute)

96=−8p+40

Step 2: Flip the equation.

−8p+40=96

Step 3: Subtract 40 from both sides.

−8p+40−40=96−40

−8p=56

Step 4: Divide both sides by -8.

−8p /−8 = 56 /−8

Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)

Answers

u would equal 7.8 :)))))))

Question 5
On problem #18, which variable will be the easiest to isolate in order to solve the system using
substitution?
A: x, in the top equation
B: y. in the top equation
C: x, in the bottom equation
D: y, in the bottom equation
Can someone please please please help me!

Answers

The answer is B because you would subtract 2x so the -y is by itself and then since there is a invisible -1 in front of the y you would divide everything by that -1 giving you the answer y=2x + 7 and you can just substitute that equation in for y in the bottom equation

The world record for scuba diving is 318 meters below sea level. How would this look written as an integer?

A. 318 meters
B. -318 meters
C. 0 meters
D. +318 meters

Answers

Step-by-step explanation:

I believe it will be B. -318 meters

not entirely sure but that's what I think so hope this help and sorry if I'm wrong

I’ll mark you brainlist

Answers

Answer:

3

Step-by-step explanation:

Y OVER X is the answer .

The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Show Your Work

Answers

Answer:

131.25 miles.

Step-by-step explanation:

if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.

The actual distance between two cities is 131.25 miles.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The scale of a map,

1 inch = 25 miles,

Also, the distance between two cities on the map is 5.25 inches.

To find the actual distance in miles.

Use ratio method,

1 inches = 25 miles,

5.25 inches = 25 x 5.25 miles

                    = 131.25 miles

The actual distance between cities is 131.25 miles.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

All of the students in the sixth grade either purchased their lunch or brought their lunch from home on Thursday.
65% of students purchased their lunch
63 students brought their lunch from home
How many students are in the sixth grade?
O A 98
B. 106
O C. 180
D. 240

Answers

D is the correct answer

Mariah is studying the life cycle of the monarch butterfly. She must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. She plans to make her choice randomly using a custom spinner divided into four sections. First, however, she spins the spinner 50 times to see the frequencies it generates.

Stage Times Landed On
egg 10
caterpillar 12
chrysalis 15
adult 13
The relative frequency of landing on egg is
.

The relative frequency of landing on caterpillar is
.

The relative frequency of landing on chrysalis is
.

The relative frequency of landing on adult is
.

All the outcomes
be considered equally likely.

Answers

Answer:

0.20, 0.24, 0.30, 0.26

Step-by-step explanation:

Hope this helps <3

Answer:

I’m pretty sure that it goes 0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.

Step-by-step explanation:

If you are framing a photo that is 4in by 7 in, and you want the frame to be the same width all around, and the total area of the frame and the photo is 130in squared, what is the width of the photo?

Answers

Answer:

3.36in

Step-by-step explanation:

The total surface area of the cardboard is expressed as;

TSA = 2(LW + LH + WH)

L is the length = 4in

W is the width

H is the height = 7in

TSA = 130in²

Substitute the given values into the formula and get the width W

TSA = 2(LW + LH + WH)

130 = 2(4W+4(7) + 7W)

130 = 2(11W+28)

130 = 22W+56

22W = 130 - 56

22S = 74

W = 74/22

W = 3.36in

hence the width of the photo is 3.36in

What is percent decrease 2.26 to 0.98

Answers

It decreases by 1.28.

hope this helps!

Plz help I am getting timed

Answers

Answer:

4 hope this helps!

Step-by-step explanation:

The answer your looking for would be 4

What is the diameter of 8 inches

Answers

Answer:

25.12 OR 16

Step-by-step explanation:

We can see that the diameter of the circle is 8 inches. Let's put this number into the formula. The circumference of a circle that has a diameter of 8 inches is 25.12 inches

2 times 8 = 16


We need help and we don’t now what we are doing

Answers

Answer:

The second, third, and fifth one.

Step-by-step explanation:

Home this helps

Mrs. Smith spent $67.40 on groceries. The tax rate is 2%. What is the amount of sales tax?

Answers

Answer:

68.75

Step-by-step explanation:

to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35

so the total for just tax is 1.35 so you add that to how much the groceries were originally

67.40+1.35=68.75

Martha compro 4kg de tomate y 2kg de frijol y pago con $130. Su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol. ¿Cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol

Answers

Answer:

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:

x: precio de 1 kg de tomate.y: precio de 1 kg de frijol.

Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130

El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85

Entonces, el sistema de ecuaciones a resolver es:

[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]

Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo,  x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y  ya conocido.

En este caso, en primer lugar despejas x de la segunda ecuación:

x= 85 -3*y

Reemplazando en la primer ecuación:

4*(85-3*y) +2*y=130

y resolviendo obtienes:

4*85 -4*3*y + 2*y=130

340 - 12*y + 2*y=130

-12*y + 2*y=130-340

-10*y=-210

y=(-210)÷(-10)

y=21

Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:

x=85 - 3*21

x=85 - 63

x=22

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol  se debe realizar el siguiente cálculo:

4T + 2F = 130T + 3F = 85T = 85 - 3F4 x (85 - 3F) + 2F = 130340 - 12F + 2F = 130-10F = 130 - 340-10F = -210F = -210 / -10F = 21T + 3 x 21 = 85T = 85 - 63T = 22

Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Aprende más en https://brainly.com/question/22918730

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