Answer:
13.77 units-----------------------
In the given right triangle we have an angle of 37° and adjacent leg of 11 units given.
Missing is the length of hypotenuse, x.
Use cosine function:
cosine = adjacent leg / hypotenusePlug in known values and solve for x:
cos 37° = 11/xx = 11/cos 37°x = 13.77 (rounded)Please help!
What the values of the expression?
A. 3
B. 12
C. 27
D.81
Answer:
D. 81
Step-by-step explanation:
I am in the same class as you, I took the quiz and the answer was 81
Express ( 3/2x-2)^2
as a trinomial in simplest form.
Answer:
9/4x^2 - 6x +4
Step-by-step explanation:
( 3/2x-2)^2
(3/2x-2)(3/2x-2)
9/4x^2 - 3x - 3x +4
9/4x^2 - 6x +4
3/2 x 2 = 6/2 = 3
Step-by-step explanation:
( 3/2x-2)² = 9/4 x²- 6x +4
m grade> Y.4 Area and perimeter: word problems JFR
A rectangular garage is 6 meters wide and 7 meters long. What is its perimeter?
Answer:
26 meters
Step-by-step explanation:
To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters
Solve
7x = 42
x = 294
x = 35
x = 6
x = 49
Answer:
x = 6
Step-by-step explanation:
7x = 42
Divide each side by 7
7x/7 = 42/7
x = 6
(x-4)(x+4) what iS the answer?
Answer:
x^2 - 16
Step-by-step explanation:
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Triangle PQR has vertex coordinates at P(4, 0), Q(5, 4), R(5, 1). If the triangle is translated so that Q′(0, 4), determine the translation direction and number of units.
5 units down
5 units up
5 units to the right
5 units to the left
The translation direction is 5 units to the left.
To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).
By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.
By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.
Therefore, the translation direction is 5 units to the left.
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more updates after image upload
Create an expression that has the same value as (6x-4) + (x + 5).
Write the correct numbers from the list in the blank boxes. Each number
may be used once, more than once, or not at all.
Answer: 7x + 1
Step-by-step explanation:
(6x-4)+(x+5)
Step 1: Remove Parentheses:
6x-4+x+5
Step 2: Combine Like Terms:
7x +1
Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars. Select the equation that matches this situation. Choose 1 answer: Choose 1 answer: (Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w A 5 = 15 \times w5=15×w5, equals, 15, times, w (Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5 B w = 15 +5w=15+5w, equals, 15, plus, 5 (Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15 C w = 5 \times 15w=5×15
The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.
Which equation correctly matches the given situation?It follows from the task content that the equation which correctly represents the Given situation is to be determined.
Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;
Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.
Consequently, answer choice C; w = 5 × 15 is correct.
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9cm 5cm 13 cm equals what?
Answer:
27 cm
Step-by-step explanation:
Evaluate the piecewise function
The solution of the composite function fog(x) = 3x + 3 at x > 2.
What is composite function?Let the two function f(x) and g(x) generate a new function h(x) using an operation.
The operation is composition of functions and h(x) is a composite function.
We have three piecewise function.
First we have to show that,
the composite function,
fog(x) at x > 2.
For that,
g(x) at x > 2 is,
g(x) = 3x.
Now, f(g(x)),
= f(3x)
= 3x + 3 at x > 2.
Therefore, the function is fog(x) = 3x + 3.
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The complete question:
Find the fog(x) at x > 2
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon
it is a polygon and it would be a decagon since there are 10 sides
Answer:
It is a polygon, hexagon.
Step-by-step explanation:
Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.
Elena receives $95 per year in simple interest from three investments totaling $2100 . Part is invested at 3%, part at 4%, and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $
the amount invested at 4% is $
and the amount invested at 5% is $
The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.
Let's assume the amount invested at 4% is x dollars.
According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.
So, the amount invested at 5% is (x + $1000).
The total amount invested is the sum of the amounts invested at each rate, which is $2100.
Therefore, we can write the equation:
x + (x + $1000) + (amount invested at 3%) = $2100
Now, we can calculate the amount invested at 3%.
We subtract the sum of the amounts invested at 4% and 5% from the total investment:
(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)
Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:
Simple Interest = Principal × Interest Rate
The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.
According to the problem, the total interest earned is $95.
So we can write the equation:
(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95
Now we can substitute the expression for (amount invested at 3%) and solve for x.
Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.
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Evan surveyed 120 of the students in his school about their favorite color. Students could choose between red and purple. 55% said their favorite color was purple. How many students' favorite color was red?
Answer:
54
Step-by-step explanation:
i got told the answer
Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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what is the result of adding the system of equations 2x y 43x y 6x 10x y 25x 10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
Describe equation:Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.
Here,
Given:
we have to solve the system of equations given. .Each equation is added together to remove the variable Y.
2x + y = 4
+
3x - y = 6
________
=> 5x =10
Therefore the result of adding the system of equations 2x + y = 4 ,
6=3x-y is 5x =10
The value of x :
x =10 / 5 = 2
⇒ x=2
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Using the discriminant, determine the number of real solutions.
-2x2+x-28 = 0
O A. no real solutions
O B. one real solution
O C. two real solutions
Answer:
A
Step-by-step explanation:
For a quadratic equation in standard form:
\(ax^2+bx+c=0\)
The discriminant, symoblized as Δ, is given by:
\(\Delta=b^2-4ac\)
If:
Δ>0 (positive), then our quadratic has two real roots. Δ<0 (negative), then our quadratic has no real roots. It does, however, have two imaginary (complex) roots. And if Δ=0 (zero), then our quadratic has exactly one real root.We have the equation:
\(-2x^2+x-28=0\)
Thus:
\(a=-2, b=1, c=-28\)
Substituting them for our discriminant:
\(\Delta=(1)^2-(4)(-2)(-28)\)
Evaluate:
\(\Delta=1-224=-223<0\)
Since our discriminant is negative, there is no real solutions.
Hence, our answer is A.
If
1/7(7x-3)=1
then which answer shows the correct steps to solve for x?
A: x - 3/7 = 1
x= 4/7
B: X - 3 =1
X= 4
C: X + 3/7 = 1
X= 6/7
D: X - 3/7 =1
X= 10/7
Answer:
Last option
Step-by-step explanation:
Step 1: Distribute
x - 3/7 = 1
Step 2: Add 3/7 to both sides
x = 1 + 3/7
x = 10/7
NOTE: Angles not necessarily drawn to scale.
Answer:
x = 45°
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent (equal).
From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
∠FEC = x°∠DEG = 20° + 25° = 45°Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
What is 6(8) + 4(23)? Ty !
Answer: 140
Step-by-step explanation:
6(8) = 48
4(23) = 92
48 + 92 = 140
Because of this, 6(8) + 4(23) = 140.
Answer: 41 i think
Step-by-step explanation:
Kylie will be 18 years old when she graduates. If the mean weekly wage of her career is $625.00, what will her lifetime earnings be when she retires at the age of 60?
Kylie's lifetime earnings is estimated to be $105,000
What is her lifetime earnings?To solve this problem, we have to calculate how much she earns monthly, and then multiply it by the total number of years she worked.
Since she's 18 years now and she intends to work till she's 60 years, she will work a total of 60 - 18 = 42 years. Her mean weekly wage is $625.
We can multiply this by 4 to determine her monthly wages. Her monthly wage is $625 * 4 = $2500.
Now, let's multiply this by 42 which is the total number of years she intends to work. Her lifetime earnings when she retires will be $2500 * 42 = $105000
Her total earnings will be $105,000
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Tanya performs two transformations on ABC to form A"B" and C" as shown on the coordinate grid below.
the transformation ABC is not similar to A”B”C”. hence the statement is false.
How do we know?We say the statement is false because the ratios of the grid squares are not similar.
We notice that the first triangle is up to over 3 and the other triangle is up 4 over 4 so in order for them to be similar the first triangle would have to be up 3 over 3.
A transformation is described as a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
#complete question:
Please help this is due today and I’m so stressed!I will mark Branliest!!!
Tanya performs two transformations on ABC to form A"B"C" as shown on the coordinate grid below.
True or False:ABC is similar to A”B”C”?
x−1.2=3 what is x
HELP ASAP K-12 8TH GRADE
hi! here is ur answer
x-1.2=3
x=3+1.2
x=4.2
hope it helps you!
Hello! :)
To find what is x we will add 1.2 to both sides
x - 1.2 + 1.2 = 3 + 1.2
x = 4.2
Hope this helped you!
THEDIPER
Which of the following is a solution to this inequality?
y<2/3x+2
(0, 3)
(−3, 1)
(3, 5)
(1, 2)
Answer:
(d) (1, 2)
Step-by-step explanation:
You want to know which of the given points satisfies the inequality.
GraphWe find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)
__
Additional comment
Another way to choose the answer is to try each of the points in the inequality.
If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).
You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.
Four times a number n is 5 more than n
Answer:
\(4n+5\)
A change purse contains a total of 35 nickels and dimes. The total value of the coins is $2.25
How many coins of each type does the purse contain?
Answer: 25 nickels
10 dimes
Step-by-step explanation:
Expand & simplify.
23p - 3( 2k + 14p ) + 5( 6k - p )
Answer:
23p -6k - 42p + 30k - 5p
23p - 42p - 5p + 30k - 6k
23p - 47p + 24k
-24p + 24k
24(- p + k)
24( k - p)
Answer:
The answer is
60p + 24k
Step-by-step explanation:
1: Expand
=23p - 6k + 42p + 30k - 5p
step2: collect like terms
=42p + 23p - 5p - 6k + 30k
step 3: add/subtract them to get your answer
=60p + 24k
your answer☝
The graph represents function 1, and the equation represents function 2:
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1?
3
4
5
8
The rate of change of function 2 is 8 more than the rate of change of function 1.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Function 1: Graph
Function 2: y = 8x + 12
For Function 1,
The graph of a horizontal line represents function 1. Additionally, a horizontal line's rate of change is always zero because y's remain constant.
So, rate of change of function 1= 0.
As, Slope intercept form of a line is y=mx+b
where m= rate of change and b= -intercept.
So, for function 2:
y= 8x+12 we will get m= 8.
So, rate of change of function 2= 8
now, Difference of rate of change of function 2 with 1
= 8-0
= 8
Hence, the rate of change of function 2 is 8 more than the rate of change of function 1.
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Express (x+5)^2 as a trinomial in standard form.
Answer:
x² + 10x + 25
Step-by-step explanation:
(x + 5)(x + 5)
using FOIL method
First x•x = x²
Outside x•5 = 5x
Inside 5•x = 5x
Last 5•5 = 25
add like terms together.
Answer:
x^2 + 25 + 10x
= x^2 + 10x + 25
Step-by-step explanation:
( x + 5 )^2
Formula : -
( a + b )^2 = a^2 + b^2 + 2ab
Here,
a = x
b = 5
( x + 5 )^2
= x^2 + 5^2 + 2 ( x ) ( 5 )
= x^2 + 25 + 10x