Answer:
2a² = c²
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, a² + b² = c². The hypotenuse (c) must be the longest of the sides. In the given triangle, both legs measure a units. So, a = b. Therefore, we have a² + a² = c² or 2a² = c².
The equation can be used to determine if the triangle is a right triangle is c² = 2a².
What is Pythagorean Theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.
The longest side measures c units.
The other sides of the triangle measure a units.
As, we know that longest side is the Hypotenuse.
Using the Pythagorean Theorem
H² = P² + B²
c² = a² + a²
c² = 2a²
So, the Correct statement is c² = 2a².
Learn more about Pythagorean Theorem here:
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If i have 150 cookies for 4 people how many does each person get?
Answer: 37.5
Step-by-step explanation: just multiply! hope this helps!
hey does anyone know the answer to this? Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
Answer:
L(t) = 170 - 10t
Step-by-step explanation:
Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10 per week and originally borrowed $170. Write an equation for L, in terms of t, representing the amount Alexa owes her friend after t weeks.
Let
Initial amount Alexa borrowed= L(o)
Amount Alexa pays per week= k
Number of weeks= t
Amount Alexa owes her friend after t weeks= L(t)
The amount that Alexa owes after t weeks is given by the equation:
L(t) = L(o) - kt
Where,
L(o) = $170
k= $10
Substituting the values into the equation, we have,
L(t) = L(o) - kt
L(t) = 170 - 10t
Therefore,
The amount Alexa owes her friend after t weeks is given by
L(t) = 170 - 10t
One cookie recipe calls for 2/3 cups of sugar another recipe calls for 1 1/4 cups of sugar. How many cups of sugar are needed in both recipes?
Answer:
About 2 cups.
Step-by-step explanation:
Use 3 and 4's LCM (Least Common Multiple).
3 and 4's LCM is 12.
Rewrite the fractions.
2/3 rewrites into 8/12.
1 1/4 rewrites into 1 3/12.
Add the fractions.
You should get 1 11/12.
Unfortunately there are no "cups" that go up to twelths. Here you will have to round.
1 11/12 is close to 2 cups.
DJ tracks the song request she received on Friday night she noted that the number of request for country songs with two more than 4/3 times a number request for hip-hop songs they're 18 request for country songs if X represents the number of request for K-pop songs which equation represents the situation how many request for hip-hop songs did the DJ receive on Friday night
Answer: DJ receive 12 requests for hip-hop songs on Friday night.
Step-by-step explanation:
As per given , we have
[tex]\text{(Number of request country songs ) = }2+\dfrac{4}{3}\times (\text{Number of request for hip-hop songs})[/tex]
Let X represents the number of request for hip-hop songs which equation represents the situation .
If they're 18 request for country songs, then
[tex]18=2+\dfrac{4}{3}X\\\\\Rightarrow\ 18-2 =\dfrac{4}{3}X\\\\\Rightarrow\ 16 =\dfrac{4}{3}X\\\\\Rightarrow\ X=\dfrac{3}{4}\times16= 3\times4=12\\\\\Rightarrow\ X=12[/tex]
Hence, DJ receive 12 requests for hip-hop songs on Friday night.
Find the Square of 9x – 7xy
Answer:
[tex]\huge \boxed{49x^2 y^2 -126x^2 y +81x^2}[/tex]
Step-by-step explanation:
[tex]\sf (9x - 7xy)^2[/tex]
Expanding brackets.
[tex]\sf (9x - 7xy)(9x-7xy)[/tex]
Applying the FOIL method.
[tex]\sf 9x(9x-7xy)-7xy(9x-7xy)[/tex]
[tex]\sf 81x^2 -63x^2 y -63x^2 y+49x^2 y^2[/tex]
Combining like terms.
[tex]\sf 81x^2 -126x^2 y+49x^2 y^2[/tex]
The 2020 population of Charlotte,NC is nine hundred five thousands, three hundred eighteen. How is the population of charlotte written in standard form?
Answer:
9.05318 × 10^5
Step-by-step explanation:
The population of Charlotte NC in words is given in words as:
nine hundred five thousands, three hundred eighteen.
Writing this in figures = 905,318
Converting this to standard form = 9.05318 × 10^5
Therefore, the population of charlotte written in standard form is 9.05318 × 10^5
It is estimated that 26% of all california adults are college graduates and that 31% of california adults are regular internet users. It is also estimated that 19% of california adults are both college graduates and regular internet users.
Required:
a. What is the probability that a california adult is an internet user, given that he or she is a college graduate?
b. Among California adults, what is the probability that a randomly chosen internet user is a college graduate?
Answer:
Step-by-step explanation:
a) The probability that a california adult is an internet user, given that he or she is a college graduate can be represented with the following
P(internet user|college graduate) = P(internet user ∩ college graduate) P(college graduate) = 0.19/26= 0.7307
= 0.73
b) The probability that a randomly chosen internet user is a college graduate?
P(college graduate|internet user) = P(internet user ∩ college graduate) P(internet user) = 0.19/0.31= 0.6129
= 0.61
A number increased by 5 is less than or equal to 26
Answer:
Equation: x + 5 ≤ 26
Solved: x ≤ 21
Write the equation for Chelsea's graph in
slope-intercept form. Make sure the slope is
written in simplest form.
Answer:
[tex]y=-4x+16[/tex].
Step-by-step explanation:
From the given graph it is clear that the y-intercept is 16.
The line passes through (-2,24) and (2,8). So, slope of line is
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\dfrac{8-24}{2-(-2)}[/tex]
[tex]Slope=\dfrac{-16}{4}[/tex]
[tex]Slope=-4[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Substitute m=-4 and b=16 in the above equation.
[tex]y=(-4)x+(16)[/tex]
[tex]y=-4x+16[/tex]
Therefore, the required equation is [tex]y=-4x+16[/tex].
Word Problem 18.) You are ordering T-shirts from a catalog. Each T-shirt costs $15. The cost of shipping is $6 no matter how many shirts you order. The total cost is $111. How many T-shirts did you order? please i need help!!!
Answer:
7 t-shirts
Step-by-step explanation:
Because you know the cost of shipping ($6) is constant no matter the quantity you order (fixed cost), you can subtract it from the total cost of the order to find the total variable cost. Next you divide the left over cost by the cost per t-shirt to get the quantity ordered.
$111 - 6 = $105
$105 / $15 per shirt = 7 t-shirts
Hope this helps!
-The Business Man
Kindly help with this Surd question
Answer:
Step-by-step explanation:
Rationalize the denominator, to do that multiply denominator and numerator by √2
[tex]\frac{1+\sqrt{2}}{\sqrt{2}}=\frac{(1+\sqrt{2})*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\ =\frac{1*\sqrt{2}+\sqrt{2}*\sqrt{2}}{\sqrt{2*2}}\\\\\\=\frac{\sqrt{2}+2}{2}\\\\\\[/tex]
Which shape does the intersection of the vertical plane with the prism look like?
Answer:
it looks like an triangle in the option above lol
A school painted 1/2 of a school wall its gym with 3 colors each color take the same amount of space on the wall what fractions of the wall does each colors occupy
Each color occupies 1/6 of the school wall
The fraction of each color that occupies the wall will be 1/6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A school painted 1/2 of a school wall has its exercise center with 3 tones each variety takes a similar measure of room on the wall.
The fraction of the color that occupies the wall will be given as,
⇒ (1/2) x (1/3)
⇒ 1/6
The small part of each variety that possesses the wall will be 1/6.
More about the Algebra link is given below.
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If the 11th term of a geometric sequence is 32 times larger than the 6th term, then
what is the common ratio of the sequence
Answer:
r = 2
Step-by-step explanation:
nth term of a geometric sequence = [tex] ar^{n - 1} [/tex].
Where,
a = first term, r = common ratio,
We are given that, the 11th term is 32 times larger than the 6th term of the geometric sequence. Thus:
the 6th term can be expressed as [tex] ar^{n - 1} = ar^{6 - 1} [/tex]
[tex] a_6 = ar^{5} [/tex]
The 11th term is expressed as [tex] a_11 = ar^{10} [/tex]
Since the 11th term is 32 times larger than the 6th term, therefore, the following equation can be derived to find the common ratio, r, of the sequence:
[tex] a_11 = 32*a_6 [/tex]
[tex] a_11 = ar^{10} [/tex]
[tex] a_6 = ar^{5} [/tex], therefore:
[tex] ar^{10} = 32*ar^{5} [/tex]
Divide both sides by ar⁵
[tex] \frac{ar^{10}}{ar^5} = \frac{32*ar^{5}}{ar^5} [/tex]
[tex] r^5 = 32 [/tex]
[tex] r^5 = 2^5 [/tex]
[tex] r = 2 [/tex]
Common ratio = 2
Priscilla can make 2 bracelets in 12 minutes. At this rate, how many bracelets can she make in 48 minutes?
Answer: Priscilla can make 8 bracelets in 48 minutes.
Step-by-step explanation:
So the givens are that:
2 bracelets in 12 minutes, how many in 48 minutes
So find the ratio of bracelets to minutes:
2/12 simplified is 1/6
So Priscilla can make 1 bracelet per 6 minutes. We just need to find how many in 48 minutes.
1/6 * 8 = 8/48
So Priscilla can make 8 bracelets in 48 minutes.
Hence your answer.
I need help please help
Answer:
2.24
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Identify the mapping diagram that represents the relationship and determine whether the relation is a function. {(–5, –4), (–1, 5), (–5, 3), (7, 8)}
Answer:
The circled in in the image.
Step-by-step explanation:
The input and outputs matched the ones that were asked for.
is 6 greater than 0.06 and 0.006
Answer:
Yes, 6 is greater then 0.06 and 0.006
Step-by-step explanation:
6 = 6.00
and both 0.06 and 0.006 are not even a whole number
Answer: Yes it is
Step-by-step explanation:
6>0.06 and 6 >0.006
person sold a house
for Rs 20,00,000 then he gets 5% commission. Find
commission amount .
Answer:
₹1, 00,000
Step-by-step explanation:
Amount of commission
[tex] = 5 \% \: of \: 20, 00, 000 \\ \\ = \frac{5}{100} \times 20, 00, 000 \\ = 5 \times 20000 \\ = Rs. \: 1, 00, 000[/tex]
Evaluate the expression using x = –1 and y=3. (6x4y3)
Answer:
6(-3)*4(3)*3
-12 *12 *3
-144*3
-432
Answer: -432
Step-by-step explanation:
Suppose you Just purchased a used truck. The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it. Write this equation using function notation, f(x).
Answer: [tex]f(x)= x+40000[/tex]
Step-by-step explanation:
We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".
Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.
Here y is dependent on x, so we replace y by f(x), then we get
[tex]f(x)= x+40000[/tex] which is the required answer.
18. What value of “s” would make x =
6 in the following equation?
S + 3(2 + x) = -36
Answer:
S = 60
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
S + 3(2 + x) = -36
Step 2: Define variables
x = 6
Step 3: Plug in variables
S + 3(2 + 6) = -36
Step 4: Parenthesis
S + 3(8) = -36
Step 5: Multiply
S + 24 = -36
Step 6: Subtract 24 on both sides
S = 60
Find the value of b×6 when b=7
Answer:
42
Step-by-step explanation:
It is basically 7×6 when you replace the b with 7
Answer:
The answer is 13.
Step-by-step explanation:
Find the value of 6 + b:
Replacing b by 7 gives 6 + 7. (example)
.5(x+4)=12 help plssssssssssssssssssssssssss
Answer:
[tex]\frac{-13}{5}[/tex] or -2.6
Step-by-step explanation:
To do this you would first have the equation [tex]5(x+4)=12[/tex] and then you could multiply the x+5 by 5 which is 5x+25 so then your equation would be [tex]5x+25=12[/tex] then you would subtract 25 from both sides to cancel out the 25 so then your equation would look like this [tex]5x=-13[/tex] then you would divide from both sides to just get x so you would get [tex]x=\frac{-13}{5}[/tex] so you could leave it as is or you could turn it into a decimal which is -2.6
12x
+3 = 7
5.
+
answer?
Answer: 6
Step-by-step explanation: 12x+3=75
-3 -3
12x=72
12 12
x=6
Answer:
x=6
Step-by-step explanation:
12x+3=75
12x=75-3
12x=72
x=6
Given the following function: f(x) = 3 – 5x
Evaluate f(-8) + f(-10) = ?
Answer:
96
Step-by-step explanation:
f(x) = 3 – 5x
f(-8) + f(-10) = 3 - 5*(-8) + 3 - 5*(-10) =3 + 40 + 3 + 50 =96f(-8) + f(-10) = 96
f(-8) + f(-10) = 96
Step-by-step explanation:f(-8) = 3 - 5×(-8)
= 3 + 40
= 43
f(-10) = 3 - 5×(-10)
= 3 + 50
= 53
f(-8) + f(-10) = 43 + 53 = 96
please i need b, d, e, and f
Answer:
In the pics
Step-by-step explanation:
If you have any questions about the way I solved it correctly, don't hesitate to ask ;)
Un grupo de personas se reúnen para ir de excursión, juntándose un total de 20 entre hombres, mujeres y niños. Contando hombres y mujeres juntos, su número resulta ser el triple del número de niños. Además, si hubiera acudido una mujer más, su número igualaría al de hombres. ¿Cuántos hombres, mujeres y niños han ido de excursión?
Answer:
El número de hombres = 8 hombres
El número de mujeres = 7 mujeres
El número de niños = 5 niños
Step-by-step explanation:
El número total de personas en la excursión = 20
La suma de los hombres y las mujeres = 3 veces el número de hijos
El número de mujeres = 1 menos el número de hombres
Sea el número de hijos = A
Sea el número de mujeres = B
Sea el número de hombres = C
Tenemos;
B + C = 3 × A .................... (1)
B = C - 1 .......................... (2)
A + B + C = 20 .............. (3)
Sustituyendo el valor de A + B en la ecuación (1) en la ecuación (3), tenemos;
A + B + C = 20
A + 3 × A = 20
4 × A = 20
A = 5
Sumando la ecuación (1) a la ecuación (2), obtenemos
B + C + B = 3 × A + C - 1
2 · B + C - C + 1 = 3 · A
2 · B + 1 = 3 · A = 3 × 5 = 15
2 · B + 1 = 15
B = (15 - 1) / 2 = 7
B = 7
De la ecuación (2),
B = C - 1
7 = C - 1
C = 7 + 1 = 8
El número de niños = 5
El número de mujeres = 7
El número de hombres = 8.
Choose all true statements All real numbers are rational numbers. Some rational numbers are natural numbers. No real numbers are irrational numbers. All whole numbers are integers. Some integers are natural numbers. No rational numbers are integers.
Answer:
The answer is: All whole numbers are integers, No rational numbers are integers, and No real numbers are irrational numbers.
Step-by-step explanation:
1. Smplify the expression. -5(6+9k) *
Answer:
-30-45k
Step-by-step explanation:
-5*6=-30
-5*9k=-45k
Answer:
-30 -45k
Step-by-step explanation:
-5(6+9k)
Distribute
-5*6 -5*9k
-30 -45k