Answer: X=50
Step-by-step explanation:
Data: 4 less than half of a number(x) is 21
Step one, make an equation
(x/2)-4=21
The reason for this is that since we know that 21 is 4 less than half the number(x) we can assume that dividing x by 2 will get half of it and by subtracting 4, we can get 21 which why it equals 21. By having it in an equation, it makes it easier to solve.
Step two, Start isolating x by adding 4 on both sides
(x/2)-4+4=21+4=(x/2)=25
The reason for this is that we have to find what x is which is done by isolating it. So if you add 4, you get rid of the -4 which helps isolate x and what you do to one side, you do to the other so you add 4 to 21 as well
Step three, multiply by 2 on both sides
(x/2)x2=25x2=X=50
The reason for this is that /2 is next to x so to isolate you have to get rid of it by multiplying by 2 and since what you do to one side you do to the other, you multiply 25 by 2 to get 50.
Answer: X=50
I hope this helps!
Solve For X, please help I need to turn this in by tomorrow.
Answer:
D) -6
Step-by-step explanation:
• solve x + 56+40= 90 90 because the triangle is a 90 degrees angle
• x+96=90
-96. -96
x=-6
Find the slope. Please reply if you can help
Answer:
1/1 because you go up 1 and over 1
Answer:
look at the picture i have sent
8 . 6(12-4) dividedby 2
Answer:24
Step-by-step explanation:6 x 8 = 48 divied by 2 = 24
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex] \frac{6(12 - 4)}{2} \\ = \frac{6(8)}{2} \\ = \frac{48}{2} \\ = 24[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
18:40 ratio in simplest terms
Answer:
9/20
Step-by-step explanation:
Therefore, 18/40 simplified to lowest terms is 9/20.
9/20 is the simplest term of 18:40
PLEASE PLEASE HELP!!
Answer:
at first subtract the remainders from the corresponding given number
what is the equation of this line
a. y = -3/2x+9
b. y = -2/3x+18
c. y = 2/3x+6
d. y = 3/2x+6
Answer:
A. y = -3/2x + 9
Step-by-step explanation:
In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.
Answer:
a
Step-by-step explanation:
any two points on the line are
(0,9 ) and (4,3)
slope=(3-9)/(4-0)=-6/4=-3/2
y intercept is 9
so eq. of line is y=-3/2x+9
determine the equation of a circle with the center (8,10) and radius 6
Answer:
(x - 8)² + (y - 10)² = 36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Pre-Calculus
Circle Center Formula: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Identify
(h, k) = (8, 10)
r = 6
Step 2: Find Equation
Substitute in variables [Center Circle Formula]: (x - 8)² + (y - 10)² = 6²Evaluate exponents: (x - 8)² + (y - 10)² = 36Solve for x
30=-5(6x+6)
Answer:
x = -2
Step-by-step explanation:
30=-5(6x+6)
step 1 distribute the -5
-5 * 6x = -30x
-5 * 6 = -30
we now have 30 = -30x - 30
step 2 add 30 to each side
30 + 30 = 60
-30 + 30 cancels out
we now have 60 = -30x
step 3 divide each side by -30
-30x/-30 = x
60 / -30 = -2
we're left with x = -2
Write the equation in standard form for the circle with center (-7,0) and radius 4 7
Answer:
x² + y² - 8x -14y - 105 = 0
Step-by-step explanation:
The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .
=> D = √{ (-7-4)²+(0-7)²}
=> D = √ 11² + 7²
=> D = √ 121 +49
=> D = √170
Now using the standard equation of circle ⭕ ,
=> ( x - h)²+(y-k)² = r²
=> ( x - 4)²+(y-7)²= (√170)²
=> x² + 16 -8x + y² + 49 -14y = 170
=> x² + y² -8x -14y = 170 -65
=> x² + y² - 8x -14y - 105 = 0
• Hence the equation of circle is x² + y² - 8x -14y - 105 = 0 .a circular plate has circumference 24.5 inches. what is the area of this plate? use 3.14 for pi.
Answer:
The area of the plate is 47.78
Step-by-step explanation:
Given:
Circumference of a circular plate = 24.5 inches.
To FInd:
Area of the circular plate
Solution:
By the formula of circumference
Circumference of a circular plate = 2πr
Where 'r' = radius of the plate
24.5 = 2[tex]\pi r[/tex]
r = [tex]\frac{24.5}{3.14 * 2}[/tex] [Since π = 3.14]
r = 3.90 inches
We know the formula of a circular plate is,
Area = πr²
Therefore, A = (3.14)(3.90)²
A = 47.79 square inches
Therefore, area of the circular plate is 47.79 inches.
The circumference of a circle is 15 centimeters. What is the diameter? Round to the nearest hundredths place.
Answer:
4.77
Step-by-step explanation:
because Circumference can be found with this equation
C = 2piR
we need to plug in 15 for Circumference and solve for its radius or R.
15 = 2piR
15/2pi = R
but we need diameter which is 2R so we just need to multiply the answer by 2.
15/2pi × 2 = Diameter
15/pi = D
approximately = 4.77
what statement is true about perpendicular lines
Answer:
The lines intersect at a right angle
Step-by-step explanation:
Given triangle DEF with sides d, e, and f
opposite angles D, E, and F. respectively,
determine which angle has the smallest measure
if side d=14, e = 12, and = 10
Please help I don’t
understand how to do this!!
Answer:
F
Step-by-step explanation:
The smallest angle will be opposite the smallest side
F
The smallest angle is ∠DFE.
What is a Triangle?A polygon which has three sides and three vertices is called as triangle.
The sum of all the angles of the triangle is 180°.
Given:
Triangle DEF with sides d, e, and f opposite angles D, E, and F respectively.
And the side:
d=14, e = 12, and f = 10
To find the smallest angle:
The smallest angle is opposite to the smallest side.
And the smallest side is f = 10.
Let the angle opposite to f is ∠DFE.
Therefore, the smallest angle is ∠DFE.
To learn more about the triangle;
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The base of a basketball goal has the shape of a rectangular pyramid The base goal must be gilled with sand so the goal does not fall down The base of the pyramid 4.5 feet long and 4 feet wide. The height of a pyramid is 2.5 feet. How much sand be needed to fill the base of the basketball goal?
Answer:
15 ft^3
Step-by-step explanation:
Sand needed can be determined by calculating the volume of a pyramid
Volume of a pyramid = 1/3 x ( length base x height)
1/3 x ( 4.5 x 4 x 2.5) = 15 ft^3
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
44.1
Step-by-step explanation:
Cosine = Adjacent over Hypotenuse
Adjacent of ∠T = 28 and hypotenuse = 39
Which means that [tex]cos(x)=\frac{28}{39}[/tex]
Now we solve for x
To get rid of the "cos" we take the inverse of cos ( which is [tex]cos^-^1[/tex] ) and apply it to each side
[tex]cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855[/tex]
We're left with x = 44.11461855
Our last step is to round to the nearest tenth and we get that the answer is 44.1
what is the answer for a and b ?
Answer:
a. 3/10
b. 25 people
Step-by-step explanation:
a. 12/40
simplify
3/10
b. 40 people so multiply everything by 5
5 x 5 =25 people
Answer:
a) 30% & b) 25
Step-by-step explanation:
16+7+5+12 = 40
a) 12/40 = 0.3 = 3%
b) 5/40 = .125
200 x .125 = 25
Rex paid $250 in taxes to the school district that he lives in this year. This year's taxes were a 12% increase from last year. What did Rex pay in school taxes last year?
Answer:
$223.21
Step-by-step explanation:
Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.
This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.
112% of x = 250
1.12x = 250
x = 250/1.12
x = 223.21
Answer: $223.21
19+4n
But "n=4"
IF YOU DON'T EXPLAIN OR PUT A FAKE ANSWER YOU WILL BE REPORTED
Answer:
35
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
19 + 4n
n = 4
Step 2: Evaluate
Substitute in n: 19 + 4(4)Multiply: 19 + 16Add: 35four friends are sharing $95. they keep a record of what they do. First they splilt up the $10 bills
Answer:
Now they have $55 in total left
Step-by-step explanation:
A door sign has a length of 5 inches and an area of 8 1/8 square inches. Find the unknown width.
Answer:
1.625
Step-by-step explanation:
8 1/8 is also known as 8.125
Divide
8 1/8 by 5 inches which gives you an answer of 1.625
GIVING AWAY 20 POINTS!!
HURRY PLEASE!!
QUESTION:
What is mBDG?
Answer:
242
Step-by-step explanation:
Circles have a total of 360°
mDBG does not include mBA or mGA
This means that mDBG = 360 - ( mBA + mGA )
mBA = 28° ( this is given )
mGA = 90° ( this is also given; it's indicated by the right angle )
Thus, mDBG = 360 - ( 28 + 90 )
28 + 90 = 118
mDBG = 360 - 118
360 - 118 = 242
Hence, mDBG = 242
Can someone HELP ME ON NUMBER 16 IM NOT SURE IM RIGHT!!!
Answer:
true im not sure tho but trust me
Step-by-step explanation:
G is a trigonometric function of the form g(x)=a sin(bx+c)+d The function intersects its midline at (-1,6) and has a minimum point at (-3.5,3). Find the formula for g(x). Give an exact expression.
Answer:
g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6
Step-by-step explanation:
The function has the form:
g(x) = a*sin(b*x + c) + d
We know that:
The midline is at (-1, 6)
The midline is the value of g(x) when the sin(x) part is equal to zero
Then the midline is y = 6 = d
g(x) = a*sin(b*x + c) + 6
And from this we also know that:
sin(b*-1 + c) = 0,
We also know that the minimum is at (-3.5, 3)
The minimum is the y-value when the sin(x) part is equal to -1
Then
sin(b*-3.5 + c) = -1
And:
g(-3.5) = 3 = a*(-1) + 6
3 = -a + 6
a = -3 + 6 = 3
The equation is something like:
g(x) = 3*sin(b*x + c) + 6
To find the values of b and c, we need to use the two remaining equations:
sin(b*-3.5 + c) = -1
sin(b*-1 + c) = 0
We also know that:
Sin(0 ) = 0
sin( (3/2)*pi) = -1
where pi = 3.14
Then we can just write:
b*-1 + c = 0
b*-3.5 + c = (3/2)*pi
From the first one, we get:
-b + c = 0
c = b
Replacing that on the other equation we get:
c*-3.5 + c = (3/2)*pi
c*(-3.5 + 1) = (3/2)*pi
c*(-2.5) = (3/2)*pi
c = (3/2)*pi/(-2.5)
and:
-2.5 = -5/2
c = (3/2)*(-5/2)*pi = (-15/4)*pi
Then the equation becomes:
g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6
The trigonometric function equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]
The function has the form:
[tex]g(x)=a sin(bx+c)+d[/tex]
The midline is at (-1, 6)
So, the midline is y = 6 = d
[tex]g(x)=a sin(bx+c)+6[/tex]
We know that the midline is the value of g(x) when the sin(x) part is equal to zero
Given that The function intersects its midline at (-1,6) and has a minimum point at (-3.5,3).
[tex]sin(-1*b + c) = 0,[/tex]
The minimum is the y-value when the sin(x) part is equal to -1
[tex]sin(-3.5*b + c) = -1[/tex]
Since, [tex]g(-3.5) = 3 = a*(-1) + 6[/tex]
[tex]a = -3 + 6 = 3[/tex]
Now equation become,
[tex]g(x) = 3*sin(b*x + c) + 6[/tex]
To find the values of b and c, we need to use the two remaining equations:
[tex]sin(-3.5b + c) = -1=sin( (3/2)* \pi)\\\\ -3.5b + c = (3/2)* \pi[/tex]
[tex]sin(-1b + c) = 0=sin(0)\\\\-b+c=0\\\\b=c[/tex]
Substituting b = c in above equation and [tex]\pi=3.14[/tex]
We get,
[tex]-3.5c + c = (3/2)*\pi\\\\-2.5c=4.71\\\\c=-1.88[/tex]
also [tex]b=-1.88[/tex]
Therefore, equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]
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Answer the questions:
If Angle 2 is 60. Find angle 8
options:
140
100
40
60
If Angle 4 is 40 degrees. Find Angle 1.
Options
140
100
40
60
Answer:
60,140
Step-by-step explanation:
alternate interior angles are congruent. and then 1 and 4 are supplementary angles which create 180
Answer:
Angle 2 is 60. Find angle 8
solution,
2=8(being co-alternate angle)
60=8
so, 8=60,,
If Angle 4 is 40 degrees. Find Angle 1
solution,
again,
let 1 be x
4+x=180
40°+x=180
x=180-40
x=140,,
therefore x=140,,
What is the cost of a medium drink? What is the cost of a large popcorn?
Answer:
a) the cost of one medium drink be $3.80
b) the cost of a large popcorn be $6.25
Step-by-step explanation:
Let the cost of one medium drink be $x and the cost of a large popcorn be $y
According to question, A couple bought 2 medium drinks and a large popcorn for $13.85.
2x + y = 13.85 ..............(1)
A family bought 3 medium drinks and 2 large popcorn for a total of $23.90
3x + 2y = 23.90 ..............(2)
Using Elimination method to solve the system of equation. Multiply equation (1) by 2 , we get,
4x + 2y = 27.70 ..............(3)
Now, subtract equation (2) from (3), we get,
4x + 2y-(3x + 2y) = 27.70 - 23.90
4x + 2y-3x - 2y = 3.80
4x -3x = 3.80
x = 3.80
Substitute, x = 3.8 in (1) ,
2(3.80) + y = 13.85
7.60 +y = 13.85
y = 6.25
Therefore, the cost of one medium drink be $3.80
and the cost of a large popcorn be $6.25
what is the gcf of 14xy^2 and 21y^3
Answer:
7y^2
Step-by-step explanation:
points for sell come get theme.
A yogurt shop offers seven different flavors of frozen yogurt and twelve different
toppings. How many choices are possible for a single serving of frozen yogurt with
one topping?
Answer:
Step-by-step explanation:
7: yogurts
12:different
7*12=84 choices
Can someone help me we are suppose to do pythagorean theorem.
Answer:
yeah this easy [tex]a^{2} +b^{2} =c^{2} \\leg leg hypotnuse[/tex]
a is a leg
b is a leh
c is a hypotnuse
Step-by-step explanation:
What is 4.33 rounded to the nearest whole number?
Answer:
the answer is 4 because i rounded down. since its 3
Step-by-step explanation: