Answer:
The unknown number is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Let's make the unknown number x.
The sum of 5 TIMES a number (x) & 8 is 9.
Let's write it mathematically.
5x + 8 =9
We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.
5x=1
5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.
x= [tex]\frac{1}{5}[/tex]
please help! see question below :)
Answer:
I have no clue sorry bro.
(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)
Answer:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}
1+cosθ=2cos
2
2
θ
= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos
2
2
(A−B)
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
=RHSRHS
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
Mrs. Dominguez asked her students to plot the number of books they read over the summer
Answer: Count the dots located on the blot labeled at 2.
There are 6 dots, which mean 6 students read 2 books.
The answer is 6.
Step-by-step explanation:
Which of the following pairs of functions are inverses of each other?
OPTION C is the correct answer.
plzzz donttttt ignoreeeee
Step 1: Find the area of the whole circle
A = pi x r^2
A = pi x 12^2
A = 144pi units^2
Step 2: Use the given angle to find only a part of the area
---The whole circle is 360 degrees, we only want 45 degrees.
45/360 x 144pi
1.5pi
4.71 units^2
Hope this helps!
Answer:
E. None of these
Step-by-step explanation:
Sector Area = r² (α / 2)
R = 12
a (angle) = 45
12^2 = 144
45/2 = 22.5
144 x 22.5 = 3240
This is not one of the options therefore it is E. None of these
Pls let me know if incorrect
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
Which system of linear inequalities is graphed?
Answer:
It is the first set of linear inequalities that is correct.
Step-by-step explanation:
There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?
What is the area of the garden?
Answer:
15 feet width of actual garden
360 feet^2 is area
Step-by-step explanation:
Scale in drawing:
width : length
5 : 8
Actual Meausrements:
x: 24
Actual Width = 5:8
x : 24
8x = 24 x 5
8x = 120
120/8 = 15
Area of garden= lxw
15 x 24
= 360 feet^2
Answer from Gauthmath
Help ASAP please and thank you
it x the first one that the cause it going the other way
Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
(show your work)
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50
represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.
(Choose 2)
Answer:
Options (1) and (4)
Step-by-step explanation:
Given equation for the deposit in the saving account is,
y = 20x + 50
Here, y = Amount of money in the account
20 = money added in the account every month
50 = Initial deposit
By comparing this equation with the slope-intercept form of the equation of a line,
y = mx + b
Here, slope m = money added in the account every month
And b = y-intercept
Therefore, Options (1) and (4) will be the answer.
what is angle G and H? please
Answer:
below
Step-by-step explanation:
that is the procedure above
I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)
Answer:
This is a negative correlation
Step-by-step explanation:
The graph tells us that as time passes on, less strawberries/Quarts are picked.
I need help finding the equation.
Answer:
[tex]y=2^{x}\ -3[/tex]
Step-by-step explanation:
kindly would like help please :,)
Answer:
B. 57
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.
y + y = 114
2y = 114
y = 57
What are the domain and range of the function represented by the set of ordered pairs?{(–17, 18), (–10, –15), (0, 0), (3, –1)}
Answer:
See below.
Step-by-step explanation:
Here's an easy way to remember: Domain and Range are in alphabetical order, x and y are in alphabetical order.
The domain is the set of all x coordinates (the first number in each pair).
The range is the set of all y coordinates (the second number in each pair).
Domain: {-17, -10, 0, 3}
Range: {18, -15, 0, -1}
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
[tex]1= x^2 - 6x[/tex]
Required
The perfect number
The coefficient c of x in the above equation is:
[tex]c = -6[/tex]
Divide by 2
[tex]c/2 = -3[/tex]
Square both sides
[tex](c/2)^2 = 9[/tex]
Hence, the constant to add is:
[tex]k = 9[/tex]
Can you answer this math homework? Please!
Answer:
1. (2.2, -1.35) and (2.2, -1.4)
2. y = 8x - 7
3. infinite number of solutions
4. (2.2,-1.4) (2.2,-1.35)
5. 6
6. (1.33,1)
Step-by-step explanation:
2x8-3^2+2? I know the answer but I don’t know how I got to it
Answer:
9 or 27
Step-by-step explanation:
2x8 -3 ^2 + 2
2x8 -9 + 2
16 - 9 + 2
= 9
or
2 x 8 - 3^2 + 2
2 x 8 + 9 + 2
16 + 9 + 2
= 27
Answer:
9 is the answer of your question
Step-by-step explanation:
2×8 -3²+216-9+218-99Hope it is helpful to you
I just need the answer to this, you don't need to show your work :)
Answer: [tex]g(x) = -\frac{4}{x+5}+4[/tex]
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]
A cube of side length s sits inside a sphere of radius r so that the vertices of the cube sit on the sphere. Find the ratio r : s
Answer:
r : s is √3 : 2
Step-by-step explanation:
The given parameter are;
A cube is inscribed in a sphere
The side length of the cube = s
The radius of the sphere = r
The ratio r : e = Required
It is noted that for a cube inscribed in a sphere, we have;
The diameter of the sphere = The diagonal of the cube
The diameter of the sphere, D = 2 × The radius = 2·r
The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²
∴ The diagonal of the cube, d = (√3)·s
From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;
2·r = (√3)·s
∴ r/s = (√3)/2
r : s = √3 : 2.
Four times a number less 7 is equal to 12 more than two times that number
Answer:
the number you're looking for is 9.5
Step-by-step explanation:
4x-7 = 12+2x
2x-7 = 12
2x = 19
x = 9.5
Helen determined she walks about 1,800 steps per 5 of a mile. How many steps did she take if she walked 5 miles?
Answer: Most likely 6,750 steps
how many times do 6x-4y=2 and -2y+3x=1
Answer:
Infinite Solutions
Step-by-step explanation:
If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.
Best of Luck!
What is the value of k?
Answer:
k = 2
Step-by-step explanation:
[tex]\frac{8}{4} =\frac{4}{k}[/tex]
8k = 16
k = 2
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A.
x=4/13
B.
x=13/4
C.
x=21/4
D.
x=4/21
Answer:
C. x = 21/4Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
=> 5x + 2x - 3x = 10 + 7 + 4
=> 4x = 21
=> x = 21/4 (Ans)
Answer:
d. x = 4/21
Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
5x-11 = x+10
4x = 21
x = 4/21
hope it helps :)
please mark brainliest!
What is the area of the triangle? A) 6 squared inches B) 7 1/2 square inches. C) 10 square inches. D) 12 square inches
Answer:
A) 6 square inches.
Step-by-step explanation:
A(Triangle) = 1/2bh
b = base length
h = height length
A(Triangle) = 1/2(4)(3) = 6
Therefore, the area of the triangle is 6 in².
What single transformation can take you from A (3, 1) to A" (-7, 1) in one move?
Whoever helps me I will mark brainlest! :)
Answer: A reflection (Across the y-axis)
Step-by-step explanation:
Transformation possiblitites:
Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.
Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.
Dilation: The new point if dilated wouldn't be in close proximity with the original point.
Which of the following represents the factorization of the polynomial below?
x2+13.x+42
A. (x+9)(x+4)
B. (x+5)(x+8)
C. (x+7)(x+6)
D. (x+21)(x + 21)
Answer:
C. (x+7)(x+6)
Step-by-step explanation:
F: X*X = X^2
O: x * 6 = 6x
I: 7 * x = 7X
L: 7*^ = 42
translate the following in to an expression 45% of a
Answer:
Your question is incomplete pleasegove the real question.
Step-by-step explanation:
