Answer:
[tex]leg=6\sqrt{3} \\\\hypotenuse=12[/tex]
Step-by-step explanation:
The equations for the 30°-60°-90° are as follows:
[tex]l=\sqrt{3}*s[/tex]
[tex]h=2*s[/tex]
l is the longer leg, s is the smaller leg, and h is the hypotenuse. Insert the known values and solve for the longer leg and the hypotenuse:
[tex]l=6\sqrt{3} \\h=12[/tex]
:Done
How would you write 7 is subtracted from the cube of a number
Answer:
n³ - 7
Step-by-step explanation:
n³ - 7
The required expression for the 7 subtracted from the cube of a number is x³- 7.
Given that,
A string of statements is given,
Here, we have to transform the statement, 7 is subtracted from the cube of a number into a mathematical inscription.
Arithmetic, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is an expression?A mathmetical expression is formulated structure of a statement using variables.
Let the number be x,
Now 7 subtracted from the cube of number x
= x³ - 7
Thus, the required expression for the 7 subtracted from the cube of a number is x³- 7.
Learn more about arithmetic here:
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Please answer this question now
Answer:
Surface area of a cone = 461.58 In²
Step-by-step explanation:
Surface area of a cone = πrl + or
Surface area of a cone = πr(r+l)
Where r = radius
Radius= diameter/2
Radius=14/2
Radius= 7 inch
And l slant height= 14 inch
Surface area of a cone = πr(r+l)
Surface area of a cone = π*7(7+14)
Surface area of a cone = 7π(21)
Surface area of a cone = 147π
Surface area of a cone = 461.58 In²
Can someone please check my answer? I really need help with this
Answer:
a = – 8
Step-by-step explanation:
From the question:
When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.
To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:
x – 1 = 0
x = 0 + 1
x = 1
Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:
2x³ – ax² + 4x – 4 = 10
x = 1
2(1)³ – a(1)² + 4(1) – 4 = 10
2 – a + 4 – 4 = 10
2 – a = 10
Collect like terms
– a = 10 – 2
– a = 8
Divide through by –1
a = – 8
Therefore, the value of a is –8.
What is the y-coordinate of the solution of the system of equations? {y=3x−262x−y=19
Answer:
y = -5Step-by-step explanation:
y = 3x − 26
2x − y = 19
2x - (3x - 26) = 19
2x - 3x + 26 = 19
- x = - 7
x = 7
y = 3•7 -26 = 21 - 26 = - 5
Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4
Answer:
Step-by-step explanation:
[tex]9^{-4}[/tex]
=[tex]\frac{1}{9^{4} }[/tex] ∴ [tex]x^{-n} = \frac{1}{x^{n} }[/tex]
=[tex]\frac{1}{9*9*9*9}[/tex]
=[tex]\frac{1}{6561}[/tex]
I need help on this During the spring, Nina Milling assembles bicycles at The Wheeler Dealer. She is paid $12.00 for each bicycle assembled during a regular work week, $14.00 for each bicycle assembled on a Saturday, and $16.00 for each bicycle assembled on a Sunday. What is her total pay for a week in which she assembled the following number of bicycles? Mon. Tues. Wed. Thurs. Fri. Sat. Sun. 4 7 6 10 8 4 5
Answer:
$556
Step-by-step explanation:
4+7+6+10+8=35
35x12=420
4x14=56
5x16=80
420+56+80=556
Answer:
$556.
Step-by-step explanation:
So she is paid $12 dollars for every bicycle assembled on a weekday,
paid $14 dollars for every bicycle assembled on Saturday, and is
paid $16 dollars for every bicycle assembled on Sunday.
She assembled 4 on Monday, 7 on Tuesday, 6 on Wednesday, 10 on Thursday, 8 on Friday, 4 on Saturday, and 5 on Sunday.
In other words, she assembled on total of 4+7+6+10+8=35 bicycles during the weekdays. And she assembled 4 on Saturday and 5 on Sunday.
In other words, her total pay is:
[tex]\$12(35)+\$14(4)+\$16(5)=\$556[/tex]
luis almuerza 1/3 de una pizza y juan 2/5 de la misma si deciden distribuirse el resto de la pizza en partes iguales determina que fraccion le tocaria a cada uno
Answer:
A cada uno le toca:
2/15
del total de la pizza.
Step-by-step explanation:
1/3 + 2/5 = 5 / 15 + 6 / 15 = 11/15
los dos, inicialmente, han almorzado
11/15
de la pizza.
Si el resto lo dividen en dos partes:
15/15 - 11/15 = 4/15
el resto es de 4/15
al dividir este resto entre los dos:
(4/15) / 2 = 4/(15*2) = 4/30 = 2/15
A cada uno le tocarían:
2/15
del total de la pizza
A blue print for a house has a scale of 1:10. A wall in the blueprint is 8in. What is the length of the actual wall?
6.67. inches
80 feet
969 feet
6.67 feet
Answer:
80 feet
Step-by-step explanation:
1 inch represents 10 feet
Then 8 inches represent = 8 × 10
= 80 feet
...................................................
Answer:
11.21157846 =x
Step-by-step explanation:
We know log b (a) = c can be written as b^c =a
log 3 (x) = 2.2
3^2.2 = x
11.21157846 =x
Answer:
[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]
Step-by-step explanation:
[tex]\large \sf log_3 (x)=2.2[/tex]
Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:
[tex]\large \sf log_b(y)=x[/tex]
[tex]\large{\sf y=b^x}[/tex]
Apply the relationship.
[tex]\large \sf log_3 (x)=2.2[/tex]
[tex]\large \sf x=3^{2.2}[/tex]
[tex]\large \sf x=11.21157845...[/tex]
[tex]\large \sf x \approx 11.21[/tex]
1 - Os coeficientes numéricos de uma equação do 2º grau (ax² + bx + c = 0), são números reais representados pelas letras “a, b e c”. Para que uma equação do 2º grau possa existir, é necessário que o coeficiente “a” seja DIFERENTE de: * 1 ponto a) -2 b) -1 c) 0 d) 1 2) Usando o método de Tentativa e Erro, visto na aula, qual das alternativas abaixo representa uma raiz da equação: x²-5x+6=0 * 1 ponto a) x = 0 b) x = 1 c) x = 2 c) x = -2
Answer:
1) La opción correcta es;
c) 0
2) La opción correcta es;
c) x = 2
Step-by-step explanation:
1) La forma general de una ecuación cuadrática se puede escribir en la forma;
a · x² + b · x + c = 0
Dónde;
a, y b son los coeficientes de x², x y c es el término constante
Por tanto, para que exista un polinomio de 2º grado es necesario que el coeficiente a sea diferente de 0
De lo que tenemos;
(0) × x² + b · x + c = 0, lo que da;
(0) × x² + b · x + c = b · x + c = 0 que es una ecuación lineal o un polinomio de primer grado
Por tanto, la opción correcta es c) 0
2)
La ecuación dada se presenta como sigue;
f (x) = x² - 5 · x + 6 = 0
Usando el método de prueba y error, tenemos;
Cuando x = 0
f (0) = 0² - 5 · (0) + 6 = 6 que no es igual a 0 y, por lo tanto, no es una solución
Cuando x = 1
f (1) = (1) ² - 5 · (1) + 6 = 1 que no es igual a 0 y por lo tanto, no es una solución
Cuando x = 2
f (2) = (2) ² - 5 · (2) + 6 = 0 que es igual a 0 y por lo tanto, es una solución
Cuando x = -2
f (1) = (-2) ² - 5 × (-2) + 6 = 20 que no es igual a 0 y por lo tanto, no es una solución
Por tanto, la opción correcta es c) x = 2
Please help me with this
verifying, by putting [tex] \theta=60^{\circ}[/tex]
LHS≠RHS
hence the question is FALSE
find the Perimeter Of a circle whose radius is 14cm
Answer:
88 cm
Step-by-step explanation:
Perimeter = 2πr
=2(14)(22/7)
= 88 cm
Answer:
87.97cm
Step-by-step explanation:
This question is asking to solve for the circumference.
The formula for the circumference of a circle is: [tex]\pi*diameter[/tex]
To work this out you would first need to multiply the radius of 14 by 2, this gives you 28cm. This is because the radius is half of the diameter.
The final step is to multiply pi by the diameter of 28, this gives you 87.97cm (87.9645943). This is because the formula for the circumference of a circle is [tex]\pi * diameter[/tex].
1) Multiply 14 by 2.
[tex]14*2=28[/tex]
2) Multiply pi by the diameter.
[tex]\pi*28^2=87.97 cm[/tex]
(2x2 - 4x + 7) + (3x3 - 9x)
A group of architects wish to recreate a modern pyramid like the ones built in
ancient Egypt. This huge monument is designed to have 199 stone bricks in the 5th
layer and 1 stone brick in the 27th and top layer. How many stones will they need to
build the entire pyramid?
Answer:
1,128,330 stones
Step-by-step explanation:
If you multiply how many total layers there are in the pyramid (210) by how many stones there are in each layer (199) before and after the 27th and top layer, you get 41790 stones. Then multiply the top 27 layers by the 41790 stones in those layers then you will get the total amount of stones which comes to 1,128,330 stones needed to build the entire pyramid.
can someone explain mean and median to me?
Answer:
Mean is obtained by adding of all of the term values by the number of terms in a given set of data. Mean is also called "average".
Median on the other hand is the arrangement of numerical data in chronological order from least to greatest and finding the middle number from that arranged set of data.
Which equation represents a population of 300 animals that decreases at an annual rate of 23%? A. p=300(1.23)t B. p=300(1.77)t C. p=300(0.77)t D. p=300(0.23)t
For a given initial quantity A, a decrease of x% can be written as:
A - A*(x%/100%) = A*(1 - x%/100%)
With this, we need to construct an exponential decrease equation for the given situation, and we will find that the equation is:
P(t) = 300*(0.77)^t
Now let's see how we found that.
In this case, we know that:
The initial number of animals is 300.
They decrease at an anual rate of 23%.
This means that after the first year, the population will be:
P(1) = 300 - 300*(23%/100$) = 300*( 1 - 0.23) = 300*(0.77)
After another year, the population decreases again, so we get:
P(2) = 300*(0.77) - 300*(0.77)*(23%/100$) = 300*(0.77)^2
Here we already can see the pattern, the population in the year t, we will get:
P(t) = 300*(0.77)^t
Then we can see that the correct option is C.
If you want to learn more, you can read:
https://brainly.com/question/16993154
5. Eight adults and six children travel in a cable car.
Estimate the total mass of the people in the cable car.
Answer: 1880 pounds
Step-by-step explanation: when you take the average adult weight, around 160 lbs. you multiply that by eight. you get 1280. then you estimate that each of the children weigh around 100 lbs, then you add 600 to 1280 and get 1,880 lbs
What is the difference between a coefficient and variable (such as 3x) and a constant (5)? Why can these two types of terms not be combined?
Answer:
see below (I hope this makes sense!)
Step-by-step explanation:
Constants, as the name suggest, stay constant, meaning that their value never changes. For example, 2 will always be 2 and 9.4 will always be 9.4. On the other hand, the values of variables can change. Take, for example, the variable 2x. When x = 1, 2x = 2 and when x =2, 2x = 4 so the value of 2x can change depending on what x is. You can't combine constants and variables because they are not like terms, basically, one can change and the other can't and you cannot combine terms that are not like each other.
When six basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name. P(shoot free throws in alphabetical order)=
Answer as a fraction = 1/720
Answer in decimal form (approximate) = 0.001388
Answer in percent form (approximate) = 0.1388%
========================================================
Explanation:
Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.
There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).
Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.
If you need the answer in decimal form, then use your calculator to find
1/720 = 0.001388
which converts over to 0.1388%
another find the equation of this line, please help meeee!
Answer:
y = 3/4x + 2
Step-by-step explanation:
to find the slope its rise over run and you go up 3 and run 4 to get 3/4. then you just look on the y axis and see that the line passes 2. so that is the answer
Find the area of the following rectilinear figure.
Answer:
Area : 14+10+40=64 square unit
Step-by-step explanation:
the area of the top rectangle with sides 2 and 7
A=2*7=14 square unit
the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5
Area=5*2=10 square unit
the bottom rectangle : sides 10 and 4
Area=10*4=40
add the areas : 14+10+40=64 square unit
jessica weighs x+34 pounds and Ronda weighs 12 pounds less. If Jessica gains 5 pounds and Ronda loses 2 pounds, what is the sum of their new heights.
Answer:
2x+59.
Step-by-step explanation:
Let J represent Jessica's weight and R represent Ronda's weight.
Jessica weighs x+34 pounds. Thus:
[tex]J=x+34[/tex]
Ronda weighs 12 pounds less than Jessica. In other words:
[tex]R=J-12=(x+34)-12\\R=x+22[/tex]
The sum of their weights, therefore, is:
[tex]J+R\\=(x+34)+(x+22)=2x+56[/tex]
Now, if Jessica gains 5 pounds and Ronda loses 2 pounds, the net gain of the total weight would be 3 pounds. Thus, we only need to add 3 to the original total to find the sum of their new weights:
[tex]2x+56+3=2x+59[/tex]
The sum of the new [weights] is represented by 2x+59.
B is the midpoint of AC. What is the value of x if AC = 52 and AB = 3x - 4
Answer:
x = 10
Step-by-step explanation:
Since B is the midpoint of AC then AB = BC = 3x - 4 and
AB + BC = AC , thus
3x - 4 + 3x - 4 = 52, that is
6x - 8 = 52 ( add 8 to both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name
Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.
The diagram shows 2 straight line , PQ and QR
Find the equation of QR
Help me to explain :)
Answer:
Step-by-step explanation:
We first need to find h. Since h is the x coordinate of Q, and Q is on the line 3x + 4y = 6, we will plug in the x value of h and the y value of 3 and solve for h:
3h + 4(3) = 6 and
3h + 12 = 6 and
3h = -6 so
h = -2
The coordinates for Q are (-2, 3). Now we can use that to find the slope of the line QR:
[tex]m=\frac{8-3}{3-(-2)}=\frac{5}{5}=1[/tex]
So the slope of QR is 1. Now we will choose one of the coordinates on line QR as our x and y coordinates to write the equation for the line in point slope form then in standard form:
y - 8 = 1(x - 3) and
y - 8 = x - 3 and
y - x = 5 or
-x + y = 5. If your teacher does not want you to lead with a negative:
x - y = -5 would be your equation in standard form.
are you allowed to simplify a fractional exponent when you are rewriting radicals to have a radical exponent? for example, [tex]\sqrt[8]{y^{2} }[/tex] is written as y^2/8 , but are you allowed to simplify the 2/8 to 1/4?
Answer:
This is true
Step-by-step explanation:
Yes when you make a radical into a power you can simplify the power, like you are saying.
Mrs. Galindo decided to make Kool-Aid to serve along with the pizza at the Future Farmers of America party. The directions said to mix a half of a scoop of powdered drink mix with two gallons of water to make each pitcher of Kook-Aid. One of Mrs. Galindo's students said she will mix 4 scoops with 2 gallons of water to make 4 pitchers. Which choice best explains whether the student is correct and why. Question 1 options: The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is correct because 4 pitchers = 4 scoops times 2 gallons The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons The direction's constant of proportionality is 0.25 k = 0.5/4 There is a quarter of a gallon of water per one scoop The student is correct because 4 pitchers = 4 scoops times 2 gallons The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons
Answer:
The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons
Step-by-step explanation:
Direction :
1/2 of a scoop + 2 gallons = 1 pitcher
Mrs. Galindo's students:
4 pitcher = 4 scoops + 2 gallons of water
Correct mixture for 4 pitchers:
1/2 scoop + 2 gallons of water =1 pitcher
For 4 pichers, multiply both sides by 4
1/2(4) scoops + 2(4) gallons of water =4 pitchers
4/2 scoops + 8 gallons of water =4 pitchers
2 scoops + 8 gallons of water =4 pitchers
The direction's constant of proportionality is 4. k = 2/0.5 There are 4 gallons of water per one scoop. The student is incorrect because 4 pitchers does not equal 4 scoops times 2 gallons
if one of the numbers 1 to 20 is chosen at random what is the probability that it is either a multiple of 3 or a multiple of 5 or both?
Answer:
45% that either would occur, or a 5% chance both would occur.
Step-by-step explanation:
There is one overlap, 15, so it must be subtracted from one of the number lists.
3 6 9 12 15 18
5 10 15 20
6/20 + 3/20 = 9/20 = 0.45 = 45%
15 is the ONLY overlap number, so 1/20 times both would occur.
1/20 = 0.05 = 5%
Use the first four terms of the binomial theorem to approximate 2.2^7
A. 248.96
B. 248.4688
C. 23.424
D. 249.4357888
please explain the steps to how you got your answer thank you!!
Answer:
248.96.
Step-by-step explanation:
We write it as:
(2 + 0.2)^7 = 2^7 + 7*2^6*0.2 + 7C2*2^5*(0.2)^2 + 7C3*2^4(*(0.2)^3
= 128 + 89.6 + 26.88 + 4.48
= 248.96.
Solve. 100+[12×{20−(10÷5)}]
Answer:
316
Step-by-step explanation:
