Answer:
3/52
Step-by-step explanation:
Solve for X.
A. 10.96
B. 4.88
C. 0.04
D. 5.34
Answer:
4.88
Step-by-step explanation:
That may be the question
If the measure of angle 2 Is (4x+10)degrees and the measure of angle 3 is (3x-5)degrees, what is the measure of angle 2 in degrees?
Answer:
110°
Step-by-step explanation:
4x+10 + (3x-5) = 180
7x + 5 = 180
7x = 175
x = 25
∠2 = 4(25) + 10 = 110
The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.
To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:
(4x + 10) + (3x - 5) = 90
Now, let's solve the equation to find the value of x. First, combine like terms:
4x + 3x + 10 - 5 = 90
7x + 5 = 90
Next, isolate x by subtracting 5 from both sides:
7x = 85
Finally, divide by 7 to solve for x:
x = 85 / 7 ≈ 12.14
Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:
Angle 2 = 4x + 10
Angle 2 = 4(12.14) + 10
Angle 2 ≈ 48.56 + 10
Angle 2 ≈ 58.56 degrees
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Really struggling with this, can someone please help me out and give me a brief explanation? Id seriously appreciate it.
Answer:
314 m²
Step-by-step explanation:
the surface area of a sphere (As) is
As = 4×pi×r²
our radius r (half of the diameter) here is 5m.
As = 4×3.14×5² = 4×3.14×25 = 100×3.14 = 314 m²
1. Decide whether the statement below is true or false. Then fully explain why. The triangle below can b used to help with your explanation if needed.
"The sine of any acute angle is equal to the cosine of its complementary angle."[help me plzz!!]
==================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(alpha) = MN/NP
sin(alpha) = y/z
---------
cos(angle) = adjacent/hypotenuse
cos(beta) = MN/NP
cos(beta) = y/z
----------
Both sin(alpha) and cos(beta) are equal to y/z, so that means sin(alpha) = cos(beta). This is true because alpha+beta = 90, ie the angles are complementary.
Similarly, you should find that sin(beta) and cos(alpha) are both equal to x/z, which is further proof that the statement is true.
I need help plzzz
How can you construct the perpendicular bisector of segment RS by folding a piece of paper
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Answer:
(c) fold it so R lies on top of S
Step-by-step explanation:
The crease will be the perpendicular bisector of RS when R and S are equidistant from it. That can be accomplished by folding the paper so points R and S lie on top of each other.
Find the length of arc AC.
B
红
120°
10
A
С
Answer:
36.2
Step-by-step
The area of a triangle is 2/5 square feet. What is the base of the triangle if the height is 6/5 feet?
24/25 feet
25/24 feet
2/3 feet
3/2 feet
Answer:
2/3 feet.
Step-by-step explanation:
The formula for finding the area of a triangle is A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.
Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.
Finally, we simplify! 4/6 simplifies to 2/3.
Based on a poll, among adults who regret getting tattoos, 27% say that they were too young when they got their tattoos. Assume that five adults who regret getting tattoos are randomly selected, and find the indicated probability. a. Find the probability that none of the selected adults say that they were too young to get tattoos.
Answer:
0.2073 = 20.73% probability that none of the selected adults say that they were too young to get tattoos.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they say they were too young to get tattoos, or they do not say it. The probability of an adult saying this is independent of any other adult, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
27% say that they were too young when they got their tattoos.
This means that [tex]p = 0.27[/tex]
Assume that five adults who regret getting tattoos are randomly selected
This means that [tex]n = 5[/tex]
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.27)^{0}.(0.73)^{5} = 0.2073[/tex]
0.2073 = 20.73% probability that none of the selected adults say that they were too young to get tattoos.
Which of the following shows the correct first step to solve. x^2+12x=72
Answer:
The answer is C
Step-by-step explanation:
The first step to solve the equation is x² + 12x - 36 = 72 - 36. The correct option is A.
A quadratic equation is a polynomial equation of the second degree, where the highest power of the variable is 2.
Among the options you provided, the correct first step to solve the equation x² + 12x = 72 is:
x² + 12x - 36 = 72 - 36
By subtracting 36 from both sides of the equation, you can bring the constant term to the other side, simplifying the equation to:
x² + 12x - 36 = 0
Now you can proceed with solving the quadratic equation using factoring, completing the square, or the quadratic formula.
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)Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle.. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a square of side length 4 units.
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Answer:
(b) It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.
Answer:
B
Step-by-step explanation:
Hope you have a nice day! :o)
Elena receives $131 per year in simple interest from three investments totaling $3000. 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 $___
Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Find the area of the regular polygon
Answer:
AREA OF THE POLYGON
[tex]7 \times \frac{1}{2} \times 4 \times 4.2 \\ 58.8 {inch}^{2} [/tex]
Can somone help me solve this
Answer:
solid shade above
Step-by-step explanation:
graph line same way you would if it was an equal sign
all the y's that are greater are above the line
its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions
Will Mark Brainlest Help pls
Answer:
13
HOPE THIS HELPS YOU......
Which is NOT a multiplication problem?
a. ab
b. (5)(9)
c. 5 X 9
d. 5+9
Answer: D) 5+9
Step-by-step explanation:
Two variables next to each other with no sign means it's multiplication
When a number is in parenthesis next to a number in parenthesis with no sign it is also multiplication (just like the two variables)
When using the multiplication symbol it is a multiplication problem.
This leaves us with D which is an addition problem
Answer:
D
Step-by-step explanation:
Because 5x9, (5)(9), and ab is all multiplication however 5+9 is addition
Plz help me solve this algebra
Answer:
Step-by-step explanation:
[tex]16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}[/tex]
please helppppp
i am v stuck
Answer:
Below
Step-by-step explanation:
First find the area of the triangle
A = bh/2
= (5)(10)/2
= 50/2
= 25 in^2
*the height of the triangle is 10 because we are disregarding the 3 inches as it is not a part of the triangle
You can now find the volume of the triangular part
V = area x height
= (25)(10)
= 250 in^3
Now find the volume of the rectangular part
V = LWH
= (10)(5)(3)
= 150 in^3
Add these two up to get the total volume
150+250 =400 in^3
I hope that is correct.... good luck!
1;3;5;7…(determine the value of the 19th term of the sequence)
Answer:
37
Step-by-step explanation:
fistly find how much different
3-1=2 5-3=2 7-5=2
so for the next and next value just plus two until the 19th then you will get 37
=============================================================
Explanation:
a = 1 is the first term
d = 2 is the common difference, since we add 2 to each term to get the next term.
The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1
The last step is to plug in n = 19 and you should get 2(19)-1 = 37
What is the slope of a line perpendicular to the line whose equation is x + 2y = 2. Fully simplify your answer.
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Answer:
2
Step-by-step explanation:
We can solve for y to find the slope of the given line.
x +2y = 2
2y = -x +2 . . . . . subtract x
y = -1/2x +1 . . . . divide by the coefficient of y
The slope is the x-coefficient, -1/2.
Any perpendicular line will have a slope that is the opposite reciprocal of this:
-1/(-1/2) = 2
A perpendicular line will have a slope of 2.
which exponential equation is equivalent to the logarithmic equation below? log478=a
A. 478^10 = a
B. a^10 = 478
C. 478^a = 10
D. 10^a = 478
help please? <3 asap
Answer:b
Step-by-step explanation:
Answer:
It is b because it just makes the most scence
kelly bought two dozen apples she found 1/3 of them were rotten how manu apples were rotten
the answer is 8 apples were rotten
Answer:
8 apples are rotten.
Step-by-step explanation:
2*12=24 . There are 12 apples in a dozen.
24/3=8
ANSWER ASAP!! Use the substitution method to solve the system of equations. 3x+7y=1 and y=x-7
Answer:
x=5
y = -2
(5,-2)
Step-by-step explanation:
3x+7y=1 and y=x-7
Substitute the second equation in for y in the first equation
3x+7( x-7)=1
Distribute
3x+ 7x - 49 = 1
Combine like terms
10x - 49 =1
Add 49 to each side
10x-49+49 = 1+49
10x = 50
Divide by 10
10x/10 = 50/10
x = 5
Now find y
y = x-7
y = 5-7
y = -2
Choose all the points that would be acceptable points to choose to test for shading for −3(m+7)≥−24
Answer:
m≤1
Step-by-step explanation:
The given inequality is :
−3(m+7)≥−24
Dividing both sides by -3.
(m+7) ≤ 8
Subtract 7 from both sides,
(m+7)-7 ≤ 8-7
m≤1
Hence, this is the required solution.
A mouse is trapped in a maze. To
find his way out, he walks 15 m,
makes a 90° left turn, walks 8 m,
makes another 90° left turn, and
walks 10 m. What is the magnitude
of the resultant vector?
Answer: Approximately 9.43 meters
The more accurate version is 9.4339811320566 but that's not exact.
This is exact magnitude is sqrt(89)
=======================================================
Explanation:
Let's draw an xy grid for this. Place the starting point at (0,0) which I'll call point A. Now let's say the mouse goes east 15 meters. That would move it to (15,0) which is marked as point B. Refer to the diagram below.
From point B, we move to C which is at (15,8). So the mouse has gone 8 meters north. It might help to turn the page so that the east direction is facing completely north, and then look to the left and you'll see "north". In other words, each 90 degree left turn is a 90 degree counterclockwise turn.
After doing another 90 degree counterclockwise turn, the mouse will move 10 meters westward. It moves from C(15,8) to D(5,8). Point D is the final position of the mouse.
-----------------------
A(0,0) was the initial position and D(5,8) is the final position
The vector v is
v = <5,8>
This is because we basically are saying "the mouse ultimately moved 5 meters east and 8 meters north" when going from start to finish. We're ignoring the intermediate stops along the way.
------------------------
Recall that for any vector of the form
v = <a,b>
the magnitude of that vector is
|v| = sqrt(a^2+b^2)
this is the length of the vector based on the pythagorean theorem.
Applying this formula gets us
|v| = sqrt(5^2+8^2)
|v| = sqrt(89)
|v| = 9.43398 approximate
This represents the straight line distance from start to finish, where we ignore any intermediate stops. So this isn't the distance the mouse travels (since it goes from A to B, to C to D). Instead, it's the distance it would travel if it wanted to take the shortest path from A to D.
Answer:
Step-by-step explanation:
9.4 for acellus
For brainlest answer
Answer:
3..
Step-by-step explanation:
dont know the explanation sry i m beginner so .
Consider the following equation. -2x + 6 =[-2/3] + 5
Answer:
that's my answer
hope it helps
Use the listing method to write the following set \ 1,2,3\; [0, 1, 2, 3] O (1, 2)
What is the MEDIAN or Q2 of the data set: 24, 25, 29, 30, 31, 31, 32, 34, 34?
Answer:
31
Step-by-step explanation:
Median = middle number in terms of value
Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest
24, 25, 29, 30, 31, 31, 32, 34, 34
We the just go to the middle number
The middle number would be 31
So we can conclude that the median is 31
f(x)=2x^2-x-6 g(x)=4-x (f+g)(x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
[tex] \large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}[/tex]
Évaluate/Combine like terms.
[tex] \large{f(x) + g(x) = 2 {x}^{2} - 2x - 2} [/tex]
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
[tex] \large{(f + g)(x) = 2 {x}^{2} -2x -2}[/tex]
Alternative
[tex] \large{(f + g)(x) = 2({x}^{2} -x - 1)}[/tex]
Answer
(f+g)(x) = 2x²-2x-2(f+g)(x) = 2(x²-x-1)Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
