Answer:
The sum of the two acute angles in a right triangle is always 90°, we can conclude that the smaller acute angle is 50°.
Step-by-step explanation:
To find the smaller acute angle in the right triangle, we can solve the given equation using inverse trigonometric functions.
sin(9°) = cos(41°)
Using the fact that sin(x) = cos(90° - x), we can rewrite the equation as:
sin(9°) = sin(90° - 41°)
Now, we can set the angles inside the sin function equal to each other:
9° = 90° - 41°
Rearranging the equation, we get:
41° = 90° - 9°
Combining like terms, we have:
41° + 9° = 90°
Simplifying further:
50° = 90°
Since the sum of the two acute angles in a right triangle is always 90°, we can conclude that the smaller acute angle is 50°.
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x - 1.2, 3.2,3.3,4.5,6.1,6.3,7.1,9.6,9
y - 5.3,6.7,3.3,4.3,5.5,2.1,0.5,0.75,4.1
Answer: I don't understand your question
Step-by-step explanation:
my explanation is at the top
If a =2 , b=-3 , c =-4 prove that a MULTIPLY (b+c) =(a multiply b) + (a multiply c)
Answer:
Step-by-step explanation:
a(b+c) = (ab)+(ac)
by property of distribution
a(b+c) = ab + ac
Trevor bought 5 packages of cake mix for $22.50. How much would 8 packages of cake mix cost?
Sometimes by labeling the numbers in a statement, you can make a statement true that would normally be false. For example, the statement 12+2=3 could be made true by labeling the number as follows: 12 inches + 2 feet = 3 feet By labeling the numbers in the statement 9 + 6 = 3, make the statement true.
Step-by-step explanation:
Yes this is actually correct, labelling numbers gives it a meaning, and also makes it understandable to whoever is reading or solving a problem associated with the number
12+2=3 ordinarily would be false because
12+2=14
but when a label is attached
that is 12 inches + 2 feet= 3 feet
12 inches is the same as 1 foot
so 1foot+2feet= 3 feet
9 + 6 = 3 ordinarily is false as 9 + 6 = 15
but
√9feet + 6feet = 3yard
3feet + 6feet = 3yard
given that x square + 5 x + c is a perfect square find the value of C
Answer:
c = [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
To make a perfect square
add ( half the coefficient of the x- term )² to x² + 5x
x² + 5x + ([tex]\frac{5}{2}[/tex] )²
= x² + 5x + [tex]\frac{25}{4}[/tex]
= (x + [tex]\frac{5}{2}[/tex] )² ← a perfect square
Is this true or false, 50/50 chance here.
what is the constant proportionally of y=2.5x
Answer:
The constant of proportionality is 2.5
Step-by-step explanation:
A direct proportion is of the form
y = kx where k is the constant of proportionality
y = 2.5x
The constant of proportionality is 2.5
Answer:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form or
where
k is the constant of proportionality
In this problem we have
so
the constant of proportionality k is equal to
therefore
the answer is
Step-by-step explanation:The constant of proportionality in the equation is
Further explanation:
The relation is defined as the relationship between the input values and output values.
The x coordinates are the domain of the function and the y coordinates are the range of the function.
Given:
The equation is
Explanation:
The proportionality equation can be expressed as follows,
The value of changes as changes. If the value of increases then the value of y is also increasing.
The equation can be expressed as follows,
The inversely proportional relationship can be expressed as,
Here, is the proportionality constant.
The given equation is
The y is the independent variable and is the dependent variable.
The proportionality constant is 2.5.
The constant of proportionality in the equation is
U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find:
a. P(U AND V) =
b. P(U|V) =
c. P(U OR V) =
U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. So,
a. P(U AND V) = 0
b. P(U|V) = 0
c. P(U OR V) = P(U) + P(V)
U and V cannot happen at the same time since they are mutually exclusive events. Therefore, the probability of their intersection, P(U AND V), is equal to 0.
Comparably, the conditional probability P(U|V) denotes the likelihood that event U will take place in the event that event V has already happened. U, however, is not possible if V has already happened because U and V are mutually exclusive. Consequently, P(U|V) likewise equals 0.
To find the probability of the union of U and V, P(U OR V), we add the individual probabilities of U and V because they are mutually exclusive. Therefore, P(U OR V) = P(U) + P(V) = 0.26 + 0.37 = 0.63.
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Please help I’ll give brainiest!
Answer: h(3)= -4 h(-3)=-16
Step-by-step explanation:
Plug in 3 and -3 for x and solve
h(3)= 2(3)-10
h(-3)= 2(-3)-10
Given the function f(x,y) = 4xy^2 - x^2y^2 - xy^3 (a) Find and classify all the critical points (b) Find the absolute maximum and minimum values of f(x,y) on D, where D is the closed triangular region in the xy plane with vertices (0,0) (0,6) and (6,0) .
The absolute maximum value of f(x, y) on D is 0, and the absolute minimum value is -64.
(a) To find the critical points of the function f(x, y) = 4xy^2 - x^2y^2 - xy^3, we need to find the values of x and y where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x:
∂f/∂x = 4y^2 - 2xy^2 - y^3
Taking the partial derivative with respect to y:
∂f/∂y = 8xy - 2x^2y - 3xy^2
Setting both partial derivatives equal to zero and solving the resulting system of equations will give us the critical points.
4y^2 - 2xy^2 - y^3 = 0 ...(1)
8xy - 2x^2y - 3xy^2 = 0 ...(2)
From equation (1), we can factor out y^2:
y^2(4 - 2x - y) = 0
This gives us two possibilities: y = 0 or 4 - 2x - y = 0, which simplifies to y = 4 - 2x.
Substituting y = 0 into equation (2), we get:
8xy = 0
This implies that either x = 0 or y = 0.
So, we have three possible cases for the critical points:
Case 1: y = 0, which implies x = 0 from equation (2).
Case 2: x = 0, which implies y = 4 from the equation y = 4 - 2x.
Case 3: Solving the equations 4 - 2x - y = 0 and 8xy - 2x^2y - 3xy^2 = 0 simultaneously will give us additional critical points.
(b) To find the absolute maximum and minimum values of f(x, y) on the closed triangular region D, we need to evaluate the function at the vertices of the triangle and at the critical points found in part (a).
The vertices of the triangle D are (0, 0), (0, 6), and (6, 0).
Evaluate f(x, y) at the vertices:
f(0, 0) = 0
f(0, 6) = 0 - 0 - 0 = 0
f(6, 0) = 4(6)(0)^2 - (6)^2(0)^2 - (6)(0)^3 = 0
Evaluate f(x, y) at the critical points:
f(0, 0) = 0
f(0, 4) = 4(0)(4)^2 - (0)^2(4)^2 - (0)(4)^3 = -64
f(2, 2) = 4(2)(2)^2 - (2)^2(2)^2 - (2)(2)^3 = 8 - 8 - 16 = -16
Therefore, the absolute maximum value of f(x, y) on D is 0, and the absolute minimum value is -64.
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What do you know about the number of books Pat has?
A foreign exchange student from Mexico would like to buy pastries for her host family. She
finds a special deal “6 pastries for $17.94,” that she would like to purchase for her family.
However, her host family consists of 4 people. If she wants to purchase 4 pastries for her
family members at that special rate, what would the cost be of these pastries in her currency
of Mexican Pesos? (Currency conversion rate is 1 U.S. Dollar = 19.265 Mexican Pesos).
Answer:
11.96 USD = 230.41 MXN
11.96 MXN = .62 USD
Step-by-step explanation:
6 pastries for 17.94 = 1 pastry for 2.99 = 4 pastry for 11.96
11.96 USD = 230.41 MXN
11.96 MXN = .62 USD
Write -5 4/8 as a decimal.
Answer:
-5.5
Step-by-step explanation:
Answer:
-5.5
Step-by-step explanation:
-54/8
-5 first just put the whole number because that won't change
4/8 simplified is 1/2
1/2 as a decimal is 0.5
your answer is -5.5
4. The Jones children decide to buy Christmas gifts for their friends in the museum's gift shop. Brandon buys 2 gifts, the cost of each gift is f. Daniel buys d gifts, the cost of each gift is p. Georgia buys 2 more gifts than Daniel, the cost of each gift is z. Write an algebraic expression for how much money should Mr Jones pay at the gift shop till if he also decides to buy gifts for his children and the cost of each gift is f.
Answer:
2f+2y+pd+z(d+2)
Step-by-step explanation:
If Brandon buys 2 gifts and the cost of each gift is f, then the cost of the 2 gifts is 2f.... 1
Also if Daniel buys d gifts, the cost of each gift is p, then the cost of d gifts will be "pd ".... 2
If Georgia buys 2 more gifts than Daniel, then the amount of gift bought by daniel will be d+2. If the cost of each gift is z, the cost of (d+2) gifts will be z(d+2) .... 3
If Mr. Jones also decides to buy gifts for his children and the cost of each gift is f, then the total cost of the gift he bought for his children is yf where y is the number of gifts he bought for his children.
The total amount paid by Mr. Jones will be expressed by the summing all the derived function as shown;
2f+dp+z(d+2)+yf
= 2f+yf+ dp+z(d+2)
= 2f+2y+dp+z(d+2)
Hence the algebraic expression for how much money Mr Jones should pay at the gift shop till if he also decides to buy gifts for his children and the cost of each gift is f is expressed as 2f+2y+dp+z(d+2)
76%
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
Answer:
52.1 is the percentage of employees that are men
Step-by-step explanation:
can someone put this into matrices for me:)
2x+3y+5=20
Answer: WHAT ARE YOU TRYING TO DO FIND THE SLOPE OR FIND X OR FIND SOMETHING DIFFRENT
Step-by-step explanation:
Which statement describes the mapping?
Answer:
I believe its J
Step-by-step explanation:
Hello I really need help with this I need to find X and then check it so if anyone can help ASAP that would be greatly appreciated
Answer:
x=7
Step-by-step explanation:
1.2=0.3x-0.9
2.1=0.3x
7=x
x=7
2(x + 4) = 4 ᐧ 2(x - 2) - 2x
Answer:
x^3+8
Step-by-step explanation:
used an online calculator lol
Chadwick bought 50 shares of Chipotle stock on Nov 1, 2016 for $396.33 share. He sold the shares four years later, with the per closing price for that day of $778.38. A) What did Chadwick pay for all of the shares in 2016? B) What was the closing value of all of the shares four years later? C) How much money did he gain / l * o * s with this stock? D) What is his rate of return on his shares when he sold them?
Answer:
Step-by-step explanation:
Given the following :
Number of shares purchased (2016) = 50
Purchase price of shares $396.33 per share
Closing price per share four years later = $778.38
A) What did Chadwick pay for all of the shares in 2016?
Purchase price per share × number of shares.
$396.33 × 50 = $19,816.50
B) What was the closing value of all of the shares four years later?
Closing price per share × number of ahaf
=$778.38 × 50
= $38,919
C.) Profit on stock :
$(38,919 - 19,816.50)
= $19,102.5
D) What is his rate of return on his shares when he sold them?
(Current Purchase - initial value) /current price
(778.3 - 396.33) / 396.33
= (381.97 / 396.33) 100%
= 0.9637675
=
0.94300 scientific notation
Answer:
Step-by-step explanation:
9.4300 × 10^-1
Is y=150x proportional?
Answer:
yes
Step-by-step explanation:
A proportional equation is of the form
y = kx where k is the constant of proportionality
y = 150x is proportional
Can anyone do my 8th grade Imagine Math?
Answer:
depends what you are doing
Step-by-step explanation:
:)
Is (1, –4) a solution to the equation y = –2x?
No
Check
-4 = -2(1)
L.H.S
= -2(1)
= -2
is not = R.H.S.
Answer:
no it can’t be the solution
Step-by-step explanation:
y=–2x
–4=–2(1)
–4=–2 (error)
1
Name segment AB.
1.
B
A Angle Bisector
B Perpendicular Bisector
C Median
D Altitude
E Midsegment
Answer:
Median
Step-by-step explanation:
Because it divides line B into a prefect section
what number is 10 times greater than 34,000
Answer:
340,000
Step-by-step explanation:
10 × 34,000= 340,000
The weights of grapefruits of a certain variety vary according to a roughly Normal distribution with a mean of 1 pound and a standard deviation of 0.12 pounds. What is the probability that a randomly selected grapefruit weights more than 1.25 pounds?
а. 0.019
b. 0.016
C. 0.316
d. 0.401
The probability that a randomly selected grapefruit weighs more than 1.25 pounds is approximately 0.019.
To find the probability that a randomly selected grapefruit weighs more than 1.25 pounds, we need to calculate the area under the normal distribution curve to the right of 1.25 pounds.
First, we calculate the z-score using the formula:
z = (x - μ) / σ,
where
x is the value we're interested in,
μ is the mean, and
σ is the standard deviation.
In this case, x = 1.25, μ = 1, and σ = 0.12.
z = (1.25 - 1) / 0.12 = 2.08
Next, we look up the corresponding area under the standard normal distribution curve for a z-score of 2.08. Using a standard normal distribution table or calculator, we find that the area to the right of 2.08 is approximately 0.019.
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The value of the car decreases $1200 every year. How much did the value of the car change, if you bought it brand new 7 years ago?
Answer:
the cars value decreased by $8400
please help
Write the equation of the conic section shown below.
The equation of the circle in this problem is given as follows:
(x - 2)² + (y + 4)² = 36.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The coordinates of the center of the circle are given as follows:
(2, -4).
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence, considering the horizontal line from the center to point (8, -4), it's measure is given as follows:
r = 6.
Thus the equation is:
(x - 2)² + (y + 4)² = 36.
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Simplify the exponential expression.
x-2y
Answer:
I'm afraid that you cannot simplify this anymore.
Step-by-step explanation:
