Answer:
12.1
Step-by-step explanation:
You could use the formula:
Tan Θ = [tex]\frac{Opposite side}{adjacent side}[/tex]
The opposite side is 'x' and the adjacent side is 15. Θ is 39°. So replace all the terms in the formula.
Tan 39° = [tex]\frac{x}{15}[/tex]
Now that 15 to the other side to multiply with Tan 39° and find the value of 'x'.
x = Tan 39° × 15
x = 12.1467605
x = 12.1 (to the nearest tenth) (The '1' after the decimal is 'to the nearest tenth' and since 4 next 1 is less that '5', there will be no need to too add '+1' to '1')
At what value of x does the graph of the following function F(x) have a
vertical asymptote?
A. 2
B. 2
C. -1
D. 0
Given:
The function is
[tex]F(x)=\dfrac{1}{x+2}[/tex]
To find:
The vertical asymptote of the given function.
Solution:
Vertical asymptote are the vertical line passes thought the values for which the function is not defined.
To find the vertical asymptote, equate the denominator equal to 0.
We have,
[tex]F(x)=\dfrac{1}{x+2}[/tex]
Denominator is (x+2).
[tex]x+2=0[/tex]
[tex]x=-2[/tex]
The vertical asymptote is [tex]x=-2[/tex].
Therefore, the correct option is B.
In a class of 30 students, 9 have a brother and 17 have a sister. There are 7 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?
Given are..
30
9
17
7
Operation to use..
Addition and Subtraction
Solution:
9 + 17 = 26
30 - 26 = 4
4 + 7 = 11
so in that case there are 11 student chosen randomly from the class has a brother and a sister.
The probability that a student chosen randomly from the class has a brother and a sister would be; 11/30
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
We are given that class of 30 students, 9 have a brother and 17 have a sister. There are 7 students who have a brother and a sister.
Therefore, we have 9 + 17 = 26
Total students
30 - 26 = 4
4 + 7 = 11
As we can see that there are 11 student chosen randomly from the class has a brother and a sister;
Probabilty = 11/30
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
(2 x 10*)(5.7 x 10°) ^x =
Answer:
20 x 57^x / 10^x
Step-by-step explanation:
17 Cos B +15=0
Write the value of x,y,r
Answer:
16.4200739.....
Step-by-step explanation:
this full explanation is in Calculator
..
Use the digit cards only once to complete these multiplications
Answer:
1. 3*2/3=6/9
2. 2*3/2=6/4 I have no idea right now
Step-by-step explanation:
sorry about number 2 :(
Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
Part A
How many meters per second does Sheila travel?
Part B
How long in seconds would it take Sheila to travel 90 meters at this speed?
Answer:
6 m/s
15 seconds
Step-by-step explanation:
Speed = distance / time
54 / 9 = 6 m/s
Given the same speed, we can determine the time she would use to travel
time = distance / speed = 90 / 6 = 15 seconds
Help please!!!!!!!!!!!!!!!!!!!!!
Answer: 2 is D
Step-by-step explanation:
i need help with the volume, tsa and x please
Answer:
Volume = 42 units^2
x = 5 units
Total Surface Area = 96 units
Step-by-step explanation:
Volume
V = bh, where b = 1/2 * 3 * 4 and h = 7,
= 6 * 7 = 42 units^2
x
You can solve for this variable by using the pythagorean theorem;
a^2 + b^2 = c^2, where a = 3 and b = 4,
9 + 16 = x^2
= 25 = x^2
= x = 5 units
Total Surface Area
You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:
7 * (3 + 4 + 5) + 2(1/2*3*4)
= 7*12 + 12
= 96 units
Drag each angle to the correct location on the image. Not all angles will be used. Find the missing angle measures in the triangle. 25° 90° C 65° 90° 155° 7300 7
Answer:
angle A is 155
angle B is 90
angle C is 115
angle 90 is 65
Step-by-step explanation:
Answer:
angle A is 155angle B is 90 angle C is 115 angle 90 is 65
Use the Distributive Property to simplify the expression: 8(c – 5)
Answer:
8c - 40
Step-by-step explanation:
8(c - 5)
8c - 8×5
= 8c - 40
Hi, let me help you out!
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We'll use the Distributive Property to simplify.
This property states that
[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]
In this little formula, a, b, and c can be variables, constants, or both.
Now we simplify:
[tex]\longrightarrow\tt{8(c-5)}[/tex]
Multiply 8 times c and -5:
[tex]\longrightarrow\tt{8c-40}[/tex]
Hence, we conclude that the answer is [tex]\tt{8c-40}[/tex].
I hope this helps you! Have an awesome day!
If you need any explanation or clarification, comment under my answer, and I'll see what I can do to help you out and answer your questions! :D
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What is an equivalent expression of 12x + 10 + 4y?
Answer:
Step-by-step explanation:
2(6x+5+2y)
Answer:
You basically multiply the number outside the parentheses by everything inside.
So 2 × 6x = 12x,
2 × 5 = 10,
2 × 2y = 4y.
So your answer is 2(6x + 5 + 2y).
Step-by-step explanation:
6.3r <-45.36
Which graph shows the correct solution?
-77-76 -75-74-73-72-71 -70 -69-68-67
-77-76-75-74 -73-72-71 -70 -69-68-67
-7.7-7.6-7.5-7.447.3-7.2-7.1 -7 -6.9-6.8
-7.7-7.6-7.5-7,4-7.3-7.2-7.1 -7 -6.9-6.8
Answer:
Option B will be your answer
Step-by-step explanation:
hope it helps you
have a great day!!!
Answer: it’s d
Step-by-step explanation:
The graph shows a line and two similar triangles.
What is the equation of the line?
Y=3/2x Y=2/3x Y= 3x
Answer: B. Y=2/3x
Step-by-step explanation:
Can someone help out
How do I solve this equation by using the quadratic formula 3x^2-12x-27=-6
Answer:
Move all terms to the left side of the equation and simplify.
3x²−12x−21=0
Use the quadratic formula to find the solutions.
(−b±√b²−4(ac))/2a
Substitute the values a=3, b=−12, and c=−21 into the quadratic formula and solve for x.
(12±√(−12)²−4⋅(3⋅−21)0/2⋅3 Simplify => x=2±√11
The result can be shown in multiple forms.
Exact Form: x=2±√11
Decimal Form: x=5.31662479…,−1.31662479…
Step-by-step explanation:
Step-by-step explanation:
The quadratic equation is
x=−b=−√b2−4ac2a
for a quadratic taking the form
ax2+bx+c=0
So for this equation it is
x=−(−12)±√(−12)2−4⋅3⋅112⋅3
x=12±√144−1326
x=12±√4⋅36
x=6±√33
PLEASE HELP ME WITH THIS IT IS 12 AM
HURRY GETTING TIMED
Which expression is equivalent to 20 n=3
20 n=3 + 20n=3
3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by 16. Find their ages.
Answer:
Nancy will be 32 and Khaled will be 16
Step-by-step explanation:
3 years ago Nancy was more than 2 so lets start with 2. To get back to present each year x2 meaning 3 x 2=6 and add the 2 so thats 8. Now the 4 more years is 4x2 which is 8. 8+8=16 and then twice Nancy's age is 16x2: Nancy is 32 and Khaled is 16
Using the information below, write a variable expression for the following:
Brian is x years old.
Brandon is twice as old as Brian.
Billy is 2 years older than Brandon.
Answer:
Step-by-step explanation:
brain is 4 bradon is 8 billy 16 i do not know but that is my answer
Answer:
x = 2x = 2x+2
Step-by-step explanation:
Brian = x
Brandon = 2x
Billy = 2x+2
Plz help me due tomorrow
Answer:
$12
Step-by-step explanation:
Money spent by Tracy = 3x - 20
3x - 20 = 16 {add 20 to both sides}
3x = 16 + 20
3x = 36 {Divide both sides by 3
x = 36/3
x = 12
Money spent by Daniel = $12
PLEASE HELP!! ILL GIVE YOU BRAINLIEST!!
Answer:
because when x ing a positive to a negative it will give you a negative however if you x a negative and a negitive it will give a positive
Step-by-step explanation:
Exhibits
Sandra makes an income of $10,000 a month. She pays $24,000 for
mortgage annually. What percent of Sandra's income pays for her
mortgage? Enter the percent in the box provided.
Answer:
20%
Step-by-step explanation:
what is the solution of
3x=-12
Answer:
x = -4
Step-by-step explanation:
divide both sides by 3 to get x = -4
Answer:
good luck on the rest of your hmwork :D
Step-by-step explanation:
The resultant of two forces acting at a point at right angles to each other is 40 pounds. If the horizontal force is 30 pounds what is the other force?
Answer:
10√7 pound
Step-by-step explanation:
R = √A² + B² + 2ABcos∅
=> 40 = √30² + B² + 2ABcos0°
=> 40² = 30² + B² + 0
=> 1600 - 900 = B²
=> √700 = B
=> 10√7 = B
Note that if R = 50*, B = 40 pounds
Estimate the volume of a soccer ball that has a diameter of 8 inches
Answer:
269 in³
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³.
Here the ball (sphere) diameter is 8 in, meaning that the radius is 4 in.
Thus, the volume of this ball is:
V = (4/3)π(4 in)³
If an "estimate" is good enough, use 3.14 for π:
V = (4/3)(3.14)(4 in)³ = 269 in³
Find the value of x in the following figure
Answer:
A
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x - 6 + 89 + 57 = 180 , that is
5x + 140 = 180 ( subtract 140 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8 → A
Which value of x makes the equation
-4x + 8 = -12 true?
Answer:
x=5
Step-by-step explanation:
-4x + 8 = -12
-4x = -12-8
-4x = -20
x = -20÷-4
x = 5
Lenni has a rectangular garden with a length of 5x-7 and a width of x-2.
Write an expression for the total perimeter in terms of x.
_______
Lenni measured the perimeter to be 66 feet. What is the value of x? Enter a number only in the box below.
_____ feet
Answer:
ths for the points TEHEHEHEHE
Step-by-step explanation:
Answer:
P = 12x - 18, x = 7 feet
Step-by-step explanation:
We know that the formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width. So we just substitute in for variables:
P = 2 (5x - 7) + 2 (x - 2)
We distribute by foiling:
P = 10x - 14 + 2x - 4
Then combine like terms:
P = 12x - 18
This can be further factored to 6(2x - 3) if needed.
Since we know the expression for perimeter, we can just set it equal to 66 feet, like this:
6(2x - 3) = 66
Divide both sides by 6:
2x - 3 = 11
Add 3 to both sides:
2x = 14
Divide both sides by 2:
x = 7 feet
What is the area of this trapezoid?
44 in²
64 in²
168 in²
192 in²
Answer:
44 in² = 1,936
64 in² = 4,096
168 in² = 28,224
192 in²= 36,864
Step-by-step explanation:
Raise the number to the power of 2.
Ex : 192² raise by the the power of 2 is 36,864
Hope this helps you :)
need to find the ratio
Answer:
B
Step-by-step explanation:
CosA = AB/AC = 12/20 = 3/5