Answer:
Step-by-step explanation:
7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10
Answer:
10
Step-by-step explanation:
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
g(x) = 3(x - 8) Find g(-2)
Answer:
Step-by-step explanation:
if g(x)=3x-8
replace x with -2
g(-2)=3(-2)-8=-6-8=-14
what is a prime number
Answer:
Step-by-step explanation:
Prime number is
Answer: Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
Step-by-step explanation:
I Music at the art museum is divided into six sections that each contain about the same number of tiles there are 2889 tails total in the music about how many tiles are in each section?
Answer:
481.5
Step-by-step explanation:
The music art museum is divided into 6 sections
Each section contains the same timert of tiles
There are 2889 tails total
Therefore the number of tiles in each section can be calculated as follows
= 2889/6
= 481.5
Hence there are 481.5 tiles in each section
round to the tenth number 2.0373
PLEASE HELP WILL MARK BRAINLIEST
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?
x squared over 8 minus y squared over 8 equals 1
x squared over 8 minus y squared over 16 equals 1
y squared over 8 minus x squared over 8 equals 1
y squared over 16 minus x squared over 8 equals 1
The equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex]Foci at [tex]x = \pm 4[/tex]They are both in the x-axis, and the center is (0,0), which means that the equation is:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
-----------------------------------------
Directrices at [tex]x = \pm 2[/tex] means that:
[tex]\frac{a^2}{c} = 2[/tex]
-----------------------------------------
Foci at [tex]x = \pm 4[/tex] means that:
[tex]c^2 = 4^2 = 16 \rightarrow c = 4[/tex]
Thus:
[tex]a^2 = 2c = 2(4) = 8[/tex]
-----------------------------------------
For b, we have that:
[tex]a^2 + b^2 = c^2[/tex]
[tex]8 + b^2 = 16[/tex]
[tex]b^2 = 8[/tex]
-----------------------------------------
Thus, since a and b have been found, the equation of the hyperbola is:
[tex]\frac{x^2}{8} - \frac{y^2}{8} = 1[/tex]
A similar problem is given at https://brainly.com/question/20409089
Karen recorded the numbers of people getting off her tram.
The mean number for 10 stops is 6.3.
After the tram stops at the 11th stop, the mean is 8.6.
How many people got off the tram at the 11th stop?
Answer:
32 people got off
Step-by-step explanation:
For the 10th stop, we can get the total number of people that have gotten off
Mathematically, this is the product of the mean and the number of stops
= 10 * 6.3 = 63 people
Now, for the 11th stop, the total becomes
11 * 8.6 = 94.6
Hence;
(94.6-63) = 31.6
since there are no fractional humans, the number of people getting off is 32
write in slope intercept form
through (4,-1), parallel to y=x
Answer:
y=x-5 is parallel to y=x
Step-by-step explanation:
help me please I need help in math I suck and I need good grades
Answer:
The answer to the question provided is 60.
Which table represents the function y = 4x - 3?
Answer:
B
Step-by-step explanation:
Answer:
Second table (B)
Input: 0, 1, 2
Output: -3, 1, 5
Explanation:
Given the 2D linear equation y = 4x - 3,
y must represent the output because it is the dependent variable, so x must represent the input because it is a independent variable.
can you help me the first person will get brainliest
Answer:
put the equations in tiger math
Step-by-step explanation:
styles clash vs rko who will win
Answer:
rko
Step-by-step explanation:
Answer:
Step-by-step explanation:
styls clash baaaabyyy
what is the ratio of feet to inches on a measuring tape
Answer:
its multipled by 12
Step-by-step explanation:
Answer:
1 ft = 12
Step-by-step explanation:
The length in inches is equal to the feet multiplied by twelve
Use the fact that 1.5 is the same as 3/2 to select all
of tile equations below that are equivalent to T=A^1.5
Answer:
It is all 4
Step-by-step explanation:
Answer:
all 4 , the next one is A
Step-by-step explanation:
Use the expression 14x + 28y + 21
(Answer both questions below)
Part A: What is the greatest common factor of the expression?
Part B: Factor the expression
Answer:
A) 7 is the greatest common factor of the expression.
B) factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]
Step-by-step explanation:
We are given the expression: [tex]14x + 28y + 21[/tex]
Part A: What is the greatest common factor of the expression?
We need to find the greatest common factor of the expression.
The expression is divisible by 7
So, 7 is the greatest common factor of the expression.
Part B: Factor the expression
We need to factor the expression: [tex]14x + 28y + 21[/tex]
Taking 7 common:
[tex]14x + 28y + 21\\=7(2x+4y+3)[/tex]
So, factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]
Jackie spends 25% of her monthly salary on rent. Her rent is $650 a month. What is Jackie’s monthly salary?
Answer:2600
Step-by-step explanation: 25%=1/4
650×4=2600
how do you find out the rate per hour using minutes
Answer: You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate
Step-by-step explanation:
Answer:
You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate. For example, if your employee works 38 hours and 27 minutes this week, you divide 27 by 60.
Step-by-step explanation:
Janice paid $820 plus 7% sales tax for her airfare. How much did she pay in total for her airfare?
Answer:
877.40
Step-by-step explanation:
Solve for b.
-t = 9(t - 10)
(WILL GIVE BRAINLIEST)
Answer:
Do you mean solve for t?
If you do, the answer is 9.
Step-by-step explanation:
If we expand the equation out, we get:
-t = 9t - 90
If we move the -90 over to the left side and the -t to the right side, we get:
90 = 10t
Dividing both sides by 9, we get:
t = 9
exact value of tan 5pi/12
Answer:
[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]
Step-by-step explanation:
Tangent Half Angle
Given an angle θ, then:
[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]
We are required to find:
[tex]\tan\frac{5\pi}{12}[/tex]
But it cannot be found in tables of main angles. We can use the angle
[tex]\theta = \frac{5\pi}{6}[/tex]
And use the formula above to find the required operation. Hence:
[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]
Operating:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]
Simplifying:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]
Rationalizing:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]
Finally:
[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]
Which system of linear equations appears to have a solution of (-1, 4)?
4ty
2
2
2
4
Answer:D
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
A solution is (-1,4) means that point of intercept is (-1,4)
<=> when x=-1 so y = 4 for both equations
From the 4 possible answers, only graph D meets the requirement.
Hope it will find you well
Answer:
Post a picture?
7x(42-22) +32 +4
please show work-
Answer:
140x+36
Step-by-step explanation:
hope this helps :)
Solve for k: 17 + k = 29 k =
Answer:
k=12
Step-by-step explanation:
k=29-17
29-17=12
Basic geometry question: Anybody able to give a down to earth explanation of a POINT, a LINE, a RAY and a SEGMENT?
Answer:
A point is a coordinate pair
A ray is a starting point but no end point (so it goes on forever)
A segment is a line connecting two points
(I'm in 9th still learning-ish)
Factor this polynomial.
-3x^2-16x- 5
Answer:
B. [tex]-(3x+1) (x+5)[/tex]
Step-by-step explanation
factored the equation to solve. Hope this helps!
1) Positive, negative, zero or undefined?
Answer:
I would say zero or undefined
Step-by-step explanation:
Answer:
c, zero slope
Find the value of x in the isosceles triangle
Step-by-step explanation:
Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.
x = 8sin60° = 6.928 or sqrt48.
That is a question about triangles.
In my answer I will show 2 ways to solve that question, ok? Let's go.
First way - Pythagoras's theoremThe line segment x divide the biggest triangle in 2 equals right triangles.
Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.
The Pythagoras's theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:
[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]
Therefore, the value of x is [tex]4\sqrt{3}[/tex].
Second way - The equilateral triangle heightThat way to solve the question is a consequence of the previous way.
That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:
[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]
h is the height and S is the triangle's side.
So, we know that the side of our triangle is 8. Let's change S value in the expression:
[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]
Thus, the value of x is [tex]4\sqrt{3}[/tex].
Note that in the 2 ways we find the same result, so that answer is correct.
I hope I've helped. :D
Enjoy your studies! \o/
how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
Which equation represents a line which is perpendicular to the line 5x + 2y = 12?
Answer:
y = ²/₅ x - 3Step-by-step explanation:
Changing to slope-intercept form:
5x + 2y = 12 {subtract 5x from both sides}
2y = -5x + 12 {divide both sides by 2}
y = -⁵/₂ x + 6
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y =-⁵/₂ x + 1 ⇒ m₁ = -⁵/₂
-⁵/₂× m₂ = -1 ⇒ m₂ = ²/₅
So, any line perpendicular to 5x + 2y = 12 must have slope m =²/₅