Answer:
[tex]7 \sqrt{3} [/tex]
tan(60°)=x/7
7tan(60°)=x
A baby's crib has an area of 690:square inches and a perimeter of 106 inches.What are the dimensions of the crib
Answer:
The crib is 30 inches wide and 23 inches long.
Step-by-step explanation:
Assuming that the crib is rectangular, then the crib has a length L and a width W.
And remember that for a rectangle of width W and length L, the perimeter is:
P = 2*L + 2*W = 2*(L + W)
And the area is:
A = L*W
In this case, the perimeter is 106 in, then:
P = 106in = 2*(L + W)
And we also know that the area is 690 in^2
Then:
A = 690in^2 = L*W
Then we have a system of equations:
106in = 2*(L + W)
690in^2 = L*W
To solve this, first, we need to isolate one of the variables in one of the equations.
Let's isolate L in the first one:
106in/2 = L + W
53 in = L + W
53in - W = L
Now we can replace this in the other equation:
690in^2 = L*W = (53in - W)*W = 53in*W - W^2
690in^2 = 53in*W - W^2
Now we need to solve this for W.
This is a quadratic equation:
W^2 - 53in*W + 690 in^2 = 0
The solutions of this equation are given by Bhaskara's formula:
[tex]W = \frac{-(-53in)\pm \sqrt{(-53in)^2 - 4*1*(690in^2)} }{2} = \frac{57in \pm 7in}{2}[/tex]
Then the two possible solutions of W are:
W = (53in + 7in)/2 = 30in
W = (53in - 7in)/2 = 23in
We can choose any one of these, so let's choose W = 30in
If we replace this in the equation: "53in - W = L"
We can find the value of L:
53in - 30in = 23in = L
Then we have:
W = 30in
L = 23in
What is the probability of landing on a 9 and then landing on a 7?
Answer:
what are we landing on? D 10s D20s?...
Step-by-step explanation:
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Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1
Answer:
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Step-by-step explanation:
Sea una recta:
f(x) = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:
g(x) = a*x + c
Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)
Entonces podemos escribir la línea perpendicular a f(x) como:
h(x) = -(1/a)*x + c
Ahora veamos nuestras líneas:
A(x) = y = −3*x+5
B(x) = y = x/3+2 = (1/3)*x + 2
C(x) = y = -3*x + 1
Primero veamos cuáles son paralelas:
A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces A y C son paralelas.
Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:
-(1/-3) = 1/3
Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?
Answer:
120
Step-by-step explanation:
10 x 20 = 200
thus 6 x 20 is 120
I don’t know this and I need help thank u ppl
Answer:
100 square feet
Step-by-step explanation:
36 square feet = 6 feet sides
64 square feet = 8 feet sides
6^2 + 8^2 = 10^2
10^2 = 100
This helped me so much thank you!!!!!!
Answer:
Your profile picture I love it
can someone help please!<3
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
In the first one answer is r²
In second one answer is 3
Step-by-step explanation:
Yes it is Algebra with different powers
In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r
Like terms are added:
6r^4- 2r^4 + 4r + 3r +____ = 4r^4 + r2+ 7r
4r^4+7r +___ = 4r^4 + r^2 + 7r
Therefore ___ = r^2
In second one:
(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10
Open the brackets
__ -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10
Add like terms
__ -14x -5x^2 + 7= -5x^2 +14x +10
Therefore
___ + 7 = 10
___ = 10 -7 = 3
Which is the coefficient in the expression 23y + 5?
Answer:
23
Step-by-step explanation:
the coefficient is the number attached to the variable
Answer:
23
coefficient-23
variable-y
constant-5
Graph
plz step by step
Answer:
Step-by-step explanation:
The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.
Please Help me with this question. Will give Brainllest
Answer:63
Step-by-step explanation:
Find the value of x that makes the quadrilateral a parallelogram.
2x + 3
X +7
Answer:
the value of x is 4
Step-by-step explanation:
i think that is the value of x
PLEASE HELP ME RIGHT AWAY!!!!!!
Answer:
C) increase by 0.25
Step-by-step explanation:
5 - 4.75 = +0.25
Answer:
The answer is C
Step-by-step explanation:
If you add 7 to the list then the number/mean will increase by 0.25
I might be wrong so im sorry if i am.
PLEASE ANSWER FAST
Which expression is equivalent to 5x + 5y + 5y?
a) 5xy
b) 5×10y
c) 5+xy
d) 5x + 10y
Answer:
A
I took a picture of your mom and my phone ran out of storage.
Can someone please help me! it’s due in like 15minutes and I have others assignments to do that are also due in 15 minutes!
Answer:
1. 71.25 ft^2
2. $2764.80
3. 84 in^2
4. 6 inches
Step-by-step explanation:
1. Area of a triangle is base x height x 1/2
2. Multiply the area by the amount: A = 768 so 768 x 3.60 = total cost
3. Area of a trapezoid is (base x height) x height / 2
4. Area of triangle is base x height x 1/2 so if you multiply the area by 2 and divide by 18, you can find the base, which is 6
Hope this helped! :)
1. 71.25 ft
2. $2,764.8
3. 84 in
4. 6 in
Original price: $330 discount percent: 15%
Answer:
$280.5
Step-by-step explanation:
Answer:
$280.5
is the answer <3
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest
Answer:
Dividing with negatives will result in a flip in the signs.
Step-by-step explanation:
In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.
[tex]-7y > 161\\ \\\\[/tex]
Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:
y < -23Notice the change in signs.
---------------------------
Now in the second equation, the constant (161) is negative. So if you solve this,
[tex]7y > -161[/tex]
You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:
y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!Samantha deposited $300 in a savings account. The account earns simple interest at a rate of 6.5%. How much money will Samantha have in her account after 3 years?
Answer:
319.5% divided by 3.37
Step-by-step explanation:
x + y = 7
5x - 2y = -7
Answer:
x=1 y=6
Step-by-step explanation:
make equation 3 from equation 1
substitute equation 3 from 2
find x or y from equation 3
Determine the probability of rolling a number that is not even.
a. Which outcome or outcomes make up the event of rolling a number that is not even?
b. Calculate the probability of rolling a number that is not even.
Answer:
[tex]\frac{1}{2}[/tex] or 0.5 or 50%
Step-by-step explanation:
P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)
= [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex] = [tex]\frac{3}{6}[/tex]= [tex]\frac{1}{2}[/tex]
Alternatively
P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]
= 1 - [ [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]] = 1 - [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Find the value of x. If necessary, round your answer to the nearest tenth. The
figure is not drawn to scale.
Answer:
18.8 you are right
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If two chords intersect in a circle, then (product of segments of Chord 1) = (product of segments of Chord 2)
=> 8 × 15 = 10 × x
=> x = 8 × 15 ÷ 10
=> x = 12
what is the elapsed time? start time:9:14 p.m. end time: 9:42
28 minutes
32 minutes
38minutes
56 minutes
Answer:
28 minutes
Step-by-step explanation:
I will mark brainliest
Answer:
4.89
Please mark brainliest
answer for brainilest and 11 points
Answer:
s = 31t
Step-by-step explanation:
s = 31(1) =31 students
s = 31(3) = 93 students
For every teacher, there are 31 students
It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval forμ.
Answer:
95% confidence interval for the mean
(6.61251, 7.38749)
Step-by-step explanation:
Step:-1
Given that a random sample 'n' = 60
Given that mean of the sample x⁻ = 7.0
Given that the standard deviation of the sample (S) = 1.5
Level of significance = 0.05
Degrees of freedom = n-1 = 60-1 = 59
t₍₀.₀₅ , ₙ₋₁₎ = 2.0010
Step(ii):-
95% confidence interval for the mean is determined by
[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]
[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]
(7.0 - 0.38749 , 7.0 + 0.38749)
(6.61251 , 7.38749)
Final answer:-
95% confidence interval for the mean
(6.61251 , 7.38749)
James needs to fill in three blanks with letters. Find the number of ways he can fill them in if:
a. the letters can be repeated
b. the letters cannot be repeated
Answer:
A. The letters can be repeated
Step-by-step explanation:
Hope it helps
#CarryOnLearning
Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8,000, the interest charge after 4 years will be
Answer:
$960
Step-by-step explanation:
8000*0.03=240
240*4=960
Help with question 9 please .
Answer:
I wanna say that it's A. curved lines.
find the solution of given expression,
[tex] \sqrt{128 \times 2} [/tex]
Answer:
solution:
[tex] \sqrt{128 \times 2} [/tex]=[tex] \sqrt{16²} [/tex]=±16 is your answer