The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
3√2
Step-by-step explanation:
since it is equilateral we can add say base = 2 * [tex]\sqrt{6\\}[/tex]
all sides = 2[tex]\sqrt{6}[/tex]
we use Pythagorean theorem for solving x
a^2 + b^2 = c^2
c^2 - a^2 = b^2
(2[tex]\sqrt{6}[/tex])^2 - (
(24) - (6) = b^2
18 = b^2
b = √18 = √(9*2) = 3√2
please if you find the answer helpful mark it brainiest
Related Questions
13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is
Answers
Answer:
Associative property of multiplication
Step-by-step explanation:
Associative property of multiplication is one of the properties used to solve mathematical questions
This is given by the formula
a × (b × c) = (a × b) × c
Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication
Caio comprou uma lembrancinha para todos os seus amigos e gastou R$12,50. Qual fração pode representar esse valor? 125/2 25/5 125/5 25/2
Answers
Answer:
$ 12.50 = $ 25/2
Step-by-step explanation:
Money spent = $ 12.50
To convert the amount in fractions
[tex]12.50\\\\=\frac{1250}{100}\\\\=\frac{125}{10}\\\\=\frac{25}{2}[/tex]
So, the correct option is $25/2
What can happen when excessive (too many trace elements are lost from
the body?
Answers
Answer:
im not sure but
Step-by-step explanation:
Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities
The slope of line m is 3/8. Line n is perpendicular to line m. What is the slope of line n?
Answers
Answer:
- [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]
Which ordered pair is a solution to the system of inequalities graphed here?
Answers
Answer:
c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If you plot the point (1, 4), you see that the ordered pair falls in the shaded area bounded by the lines. The other ordered pairs fall outside of the shaded area.
What is the answer meyn?
Answers
Answer:
the best value is two 50 ml bottles
Step-by-step explanation:
Okay focus with me , if you buy a bottle of 50 ml you will get a second for half price so we can say that --> 2 bottles of 50 ml =
[tex]45 + \frac{45}{2} = 67.5[/tex]
We get 100 ml with £67.5 just , but when you buy 80ml you must pay £55 Hum !
then you can dived the volume of bottle with price ...
the price of one ml is 0.675 in first State[tex] \frac{67.5}{100 } = 0.675[/tex]
in the second state the price of one ml is[tex] \frac{55}{80} = 0.6875[/tex]
then :
[tex]0.675 < 0.6875[/tex]
so the best value is two 50 ml bottles
please help with this problem !!
Answers
Answer:
a. x= 9
b. 70
c. 110
d. 70
e. 110
Step-by-step explanation:
a.
congruent angles have the same measure. 1 and 3 are congruent and 2 and 4 are congruent
2(12x+2)+2(7x+7)=360
divide both sides by 2
12x+2+7x+7=180
combine like terms
2+7=9
12x+7x=19x
19x+9=180
subtract both sides by 9
19x=171
divide both sides by 19
x=9
7x+7,
7*9+7
63+7 = 70
1 is 70, 3 is 70
12x+2, x=9
108+2 = 110
2 and 4 is 110
Answer:
Step-by-step explanation:
Angles 1 and 2 are supplementary (their sum is 180 degrees)
7x + 7 + 12x + 2 = 180
19x= 171
x = 9
m 1 = 7 * 9 + 7 = 70 degrees
m 2 = 12 * 9 + 2 = 108 + 2 = 110 degrees
m 3 = angle 1 and angle 3 are vertical, so they have the same measure: 70 degrees.
m 4 = angle 2 and angle 4 have the same measure: 110 degrees
We are collecting bananas. Alf has 4 times as many as Jim, and Jim has three times as many as Sid. Altogether they have 192. How many does Sid exactly have?
Answers
Answer:
12 bananas
Step-by-step explanation:
We are collecting bananas.
Lets represent, the number of bananas collected by:
Alf = x
Jim = y
Sid = z
Jim has three times as many as Sid.
y = 3z
Alf has 4 times as many as Jim
x = 4y
x = 4 × 3z
x = 12z
Altogether they have 192.
x + y + z = 192..... Equation 1
We substitute
3z for y and 12z fox x in Equation 1
12z + 3z + z = 192
16z = 192
z = 192/16
z = 12
Therefore, since, the number of bananas Sid collected = z
Hence, Sid has 12 bananas exactly
A shopkeeper allows 20 % discount on the marked price of an article and 10 % VAT is leavied on it . If a customer pays Rs 5000 for VAT them find the discount amount.
Answers
Answer:
Rs 12,500
Step-by-step explanation:
the price before VAT = 100/10 × Rs 5000 =
Rs 50,000
the price before discount = 50,000 / 80%
= 50,000/0.8 = 62,500
so the discount amount = 62,500-50,000
= Rs 12,500
line a is perpendicular to B.
if the slope of line A is -3/4 what is the line of B
Answers
Step-by-step explanation:
line a is perpendicular to B.
if the slope of line A is -3/4 what is the line of B
What congruent postulate is needed for these triangles
Answers
Answer:
i hope this helps you
Step-by-step explanation:
answer is c
Hope it helps!
can someone please explain how to complete this thanks
Answers
-Put a dot (not shaded) on -6 on the number line.
-Draw a arrow from the -6 dot to the left of the number line.
Need help quick it's urgent!
Answers
Which relationship has a zero slope?
Answers
a²+b²=c²
5²+9²=c²
25²+81²=c²
106=c²10.2
5
REAL ASNWER ON THIS PLEASE
Answers
Answer:
240 degrees
Step-by-step explanation:
360 - 120 = 240
Answer:
240° i think
Help is needed please..
Answers
Answr 2.(1.3)^x
Step-by-step explanation:
En un triangulo rectangulo,la hipotenusa mide 10 cm y un cateto mide 8 ¿Cual es el valor del otro cateto ?
Answers
Respuesta:
6 cm
Explicación paso a paso:
Paso 1: Información provista
Longitud de la hipotenusa (h): 10 cm
Longitud del cateto 1 (c₁): 8 cm
Paso 2: Calcular la longitud del cateto 2 (c₂)
Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.
h² = c₁² + c₂²
c₂² = h² - c₁²
c₂ = √(h² - c₁²)
c₂ = √((10 cm)² - (8 cm)²) = 6 cm
Canada has a population of about 32 million. The population of the United States is 10 times larger. How many people live in the United States? Explain the number of zeros in your answer.
Answers
Answer:
People live in the U.S. = 320000000
Step-by-step explanation:
Below is the calculation of a number of people who live in the United States.
Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.
Canada population = 32 million or 32000000
Thus the U.S. population = 32000000 x 10 = 320000000
Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)
Answers
Answer:
120 ways
Step-by-step explanation:
Here, we are looking at arranging around a table
To do this, we sit down one of the children and arrange the remaining around the one that we have sat down
In scenario like this, the number of possible arrangement ways will be;
(n-1)! ways
where n is the number of children which is 6 in this case
So the possible number of ways will be;
(6-1)! = 5! = 120 ways
What do these terms represent? -8,-4, 0, 4, 8, 12
Answers
Answer:
They represent positive and negative numbers.
Step-by-step explanation:
Which term is a perfect square of the root 3x^4
Answers
lmk if this helped :)
what is the correct answer
Answers
Answer:
below
sin30 = x/8
x = 8 *sin30
x = 4
option A is Correct
Elsa uses exactly 60 cubes of ice to build a rectangular ice prism. Each cube has side lengths of 1 unit. Enter the dimensions of the rectangular ice prism below assuming that none of the sides can have a length of 10 units. Your answer should be typed like this with the numbers going from smallest to largest: 1, 2, 3 *
Answers
Answer:
2, 5, 6
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.
Therefore, we're looking for three numbers that multiply to be 60.
Since the question stipulates that no side length may be 10, we have:
[tex]2\cdot 5\cdot 6=60[/tex]
Answer pleaseeeeee!!!
Answers
Answer:
The answer is option C
determine the range of the capacity of these dams
Answers
Answer:
100 ldnncncbhggtix znzhkgzgjtuustashsh
Help me ASAP please
Answers
Answer:
f(x) = x³ - 3
Step-by-step explanation:
Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < o then a shift down o c units
Here a shift down of 3 units, hence c = - 3, thus
f(x) = x³ - 3
7. What is the domain (the first element or number, from each palr) of this relation:
{(4,1), (5,2), (6,-1), (8,5)}
*
O {4,5,6,8)
O {4,5,6)
O{1, 2,-1,5)
O {4,-1,5,2)
Answers
This is because the domain is all of the possible x values in a set. The range is all of the possible y values. So for the first point (4,1) has an x value of 4, and a y value of 1. The second point (5,2) has an x value of 5, and a y value of 2. And so on.
Please help thank you!
Answers
Answer:
10
Step-by-step explanation:
Can someone help me solve this Algebraic Equation please?
x^1/2 + 3x^-1/2 = 10x^-3/2
Answers
Answer:
x=2
Step-by-step explanation:
What is the slope of the line that passes through the points (-4,-4) and (-4,9)? Write answer in simplest form and explain how you got it.
(Answer as soon as you can please)