[tex] \sf \dashrightarrow(x - 4) {}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow {x}^{2} + {4}^{2} + 2 \times 4 \times x[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow {x}^{2} + 16 + 8x[/tex]
i need help with this
Answer:
it should be d.
Step-by-step explanation:
volume of a cone = π x r² x h
volume = π x 4.5² x 3.5
volume = π x 70.825
volume = 222.66 cubic metres
Iris paid $120.00 for a winter coat. She saved
25% off the original price.
What was the original price of the coat?
Answer:
$160, or answer A
Step-by-step explanation:
If 120 is 25% of the original, or 0.25 of the original(We will call it x), then 120 is 0.75x.
Form an equation like this: 0.75x=120
Turn this into fractions: 3/4x=120/1.
Divide by 3/4 on both sides.
x = 120/1 * 4/3
Simplify to get: 40/1 * 4/1
Multiply to get: 160
The original price of the coat is $160.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given. Iris paid $120 for a winter coat.
She saved 25% off the original price .
We have 4 options $160, $150, $145 and $30.
Now let $160 is the original price,
25% of 160 = 160 x 25 / 100
= $40
Therefore, the original price of the coat is $160.
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An angle measures 36° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Measure of each angle is 108 and 72 degrees.
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
[RevyBreeze]
Answer:
An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?
Step-by-step explanation:
Let's the angle be "n"
Supplementary angle = 180 °
n- (180-x) = 36
n - 180 + n = 36
Combine like terms
n - 180 + n = 36
2n - 180 = 36
Add 180 to both sides of the equation
2n - 180+180 = 36+180
Simplify
2n = 216
Divide both sides of the equation by the same term
2n/2 = 216/2
Simplify
n = 108
2n = 216
Measure of each angle
1st = 108
2nd = 180-108 = 72
1. In this figure, the unshaded region represents a painting and the shaded region represents a frame around the painting. All angles are night angles 6 in. 10 in 9.5 in 13.5 in (a) What is the area of the painting? Show your work (b) What is the area of the frame? Show your work Answer:
The area of a shape is the amount of space on the shape
The area of the painting is 60 square inchesThe area of the frame is 60.25 square inchesHow to determine the area of the paintingFrom the question, the dimension of the painting is 6 inches by 10 inches
So, the area of the painting is:
Area = 6 * 10
Area = 60 square inches
Hence, the area of the painting is 60 square inches
How to determine the area of the frameFrom the question, the dimension of the picture is 9.5 inches by 13.5 inches
So, the area of the picture is:
Area = 9.5 * 13.5
Area = 128.25 square inches
The area of the frame is the difference between the area of the picture and the painting.
So, we have:
Frame = 128.25 - 60
Frame = 68.25
Hence, the area of the frame is 60.25 square inches
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Please help I need this please help please just me help
Answer:
It would take 4 minutes.
Step-by-step explanation:
Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21
Step 2: Divide 84 by 21 to get 4 minutes
I need help with 5and6
Answer:
5) [tex]x^2+151x-264[/tex]
6)[tex]-30a^3-27a^2b+30ab^2+18b^3[/tex]
Step-by-step explanation:
emily bought 4 pounds of grapes for $20 .find the unit price A)$5 B)15 c)1 D)20
Answer:
(a)5
Step-by-step explanation:
$20 ÷4 pounds of grapes = $5
solve these problems
43+(-56) minus 78
-78 minus 65
-19 minus 4
-16 + 9
71 + (-18)
Answer:
Step-by-step explanation:
1. 43+(-56) - 78
43 - 56 - 78 = -91
2. -78 - 65 = -143
3. -19 - 4 = -23
4. -16 + 9 = -7
5. 71 + (-18)
71 - 18 = 53
Hope this helps!
Answer:
Step-by-step explanation:
43+(-56)minus 78= negative 91
43+-56= - 13 13-78= negative 91
-78 subtract 65=143 because when your in negatives it is opposite so when you subtract it is addition so what is -30 add 50=20. So what is -78 subtract 65=143
-19 subtract 4 =-23 because like I said in negatives it's opposite.
-16+9=7.
And last 71 + -18=53 because it is subtracting 18 since it is negatives.
Hope it helps :)
The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answer as a decimal in the box.
Answer:
y = 17.5
Step-by-step explanation:
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x = k or y = kx
Find the value of the constant k
we have:
y = 7 and x = 2
substitute
7/2 = k
k = 3.5
Thus, the equation is equal to
y = 3.5x
Find the value of y when x = 5
substitute in the equation
y = 3.5(5) = 17.5
Or we can put as:
y = 7 * 5 /2
Calculate the product or quotient: y = 35/2
Answer = 17.5
[RevyBreeze]
Answer:
y = 17.5
Step-by-step explanation:
If y is proportional to x, then:
[tex]y = kx[/tex] (for some constant k)
Given y = 7 when x = 2:
⇒ 7 = 2k
⇒ k = 3.5
Therefore, [tex]y=3.5x[/tex]
So when x = 5:
⇒ y = 3.5 x 5
⇒ y = 17.5
Factor the expression. 40a + 45
Answer:
5(8a + 9)
Step-by-step explanation:
40 and 45 can both be divided by 5, so this is a common factor.
-> 40 divided by 5 is 8
[] It has a variable, so it will be 8a
-> 45 divided by 5 is 9
Our final answer is 5(8a + 9)
-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45
-> This works
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).
Answer:
g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]
Step-by-step explanation:
f(x) = 3x + 5
f[g(x)] = 3[g(x)] + 5
⇒ 3[g(x)] + 5 = x + 4
⇒ 3[g(x)] = x + 4 - 5
⇒ 3[g(x)] = x - 1
⇒ g(x) = [tex]\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}[/tex]
HELP PLEASE
What percent of 600 is 3 3/4?
Enter your percent as a fraction in simplest form by filling in the boxes.
Answer:
0.625%
Step-by-step explanation:
3 3/4 = 3.75
3.75 ÷ 600 × 100 = 0.625
HELP!!!!!!!!!!!!!! I'LL GIVE 20 POINTS!!!!!!!!
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x) + 4
A.
The graph of function f is shifted up 4 units.
B.
The graph of function f is compressed vertically toward the x-axis by a factor of 4.
C.
The graph of function f is stretched vertically away from the x-axis by a factor of 4.
D.
The graph of function f is shifted down 4 units.
Answer:
A
Step-by-step explanation:
The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units
Which of these are polygons?
Answer:
B , C , D are polygons.list a example of a irrational number like any irrational number
The number pi is a famous irrational number since we cannot represent it as a fraction of two integers. Pi is approximately equal to 3.14159. The decimal digits go on forever without any pattern.
Another irrational number would be [tex]\sqrt{2}[/tex] which is approximately equal to 1.4142; the decimal digits for this number also go on forever without any pattern.
Jess walked from her home to her friend’s house and arrived at 4.15. If it took Jess 25 minutes to walk this distance, then what time did she leave home?
Select one:
a. 3.55
b. 3.45
c. 3.50
d. 3.05
please help I will give 20 points
Answer:
C.) 8
Step-by-step explanation:
[tex]11- (1/2)^4 x 48 = 11- 1/16 x 48= 11-3= 8[/tex]
The tile along the edge of a triangular community pool needs to be replaced. A right triangles, where the hypotenuse is labeled 8 x squared, the height is labeled 4 x squared 15, and the base is labeled 8 x 10. Which expression represents the total perimeter of the pool edge? 12x2 15 20x2 25 12x2 8x 25 24x2 16x 50.
Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
How to calculate perimeter of a triangular figure?Perimeter of a triangle = Sum of lengths of all its 3 sides.
For the given case, we have:
Length of first side(hypotenuse) = [tex]8x^2[/tex] units
Height = [tex]4x^2 + 15[/tex] units
Base is of length [tex]8x + 10[/tex]
Thus, its perimeter is calculated as:
Perimeter of a triangle = Sum of lengths of all its 3 sides.
Perimeter = [tex]8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25[/tex] units
Perimeter = [tex]12x^2 + 8x + 25[/tex] units
Thus,
The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.
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Answer:
12x2 + 8x + 25
Step-by-step explanation:
i said so
the difference between 9 and a number
Answer:
9-4=5
Step-by-step explanation:
Answer:
x=9-y or 9-y=x
Step-by-step explanation:
difference means subtract so nine minus a number equals this number
The value y (in dollars) of a farm tractor x years after it is purchased is given by y=-6500x+80000.
a. Graph the Equation.
b. Interpret the slope and y-intercept.
A. Graph is in the picture
B. slope is -6500 and they-intercept is (0, 80000)
I NEED HELP ASAP!!! EXPLAIN YOUR ANSWER to PLEASE!!!
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
Step-by-step explanation:
We are looking for the number of children than can ride safely with 4 adults.
Since 4 adults are already seated, A = 4.
We substitute 4 for A in the inequality and solve for C.
150A + 100C + 200 ≤ 1500
150(4) + 100C + 200 ≤ 1500
600 + 100C + 200 ≤ 1500
100C + 800 ≤ 1500
100C ≤ 700
C ≤ 7
Up to 7 children can ride.
Answer:
Group 1
Group 2
Groups 1 and 2 together
Group 4
Group 4
can a triangle have sides with lengths 2cm, 5cm and 3cm?
5 + 5 equals whaar ???
Answer:
Its 10
Step-by-step explanation:
5 + 5 = 10
Addition can be defined as the process of adding two numbers. The sum of 5 and 5 is 10.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that we need to add 5 and 5. This can be simply understood with the help of an example. One hand has 5 fingers and as we need to add the 5 and 5 therefore, we need to add the number of fingers in the two hands which is equal to 10. therefore, we can write it as,
[tex]5 + 5 =10[/tex]
Hence, the sum of 5 and 5 is 10.
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3(4n-1)-3
facterD
( form
Answer: thats hard
Step-by-step explanation:
Answer:
6(2n-1)
explanation:
→ 3(4n-1)-3
→ 4n(3)-1(3)-3
→ 12n-3-3
→ 12n-6
→ 6(2n-1)
What is the exact value of cot
co (3 pie/4)?
Answer:
cot (3ocπ/4)⠀⠀
Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.
Which answer gives the best estimate for the number of books Robyn can buy?
88
2121
192192
200
Answer:
21 books
Step-by-step explanation:
Subtract $32.50 from her total savings:
$204 - $32.50 = $171.50
Divide the remaining money by the cost for each book from the sale:
$171.50 / $8.15 = 21.0429448
Round:
21 books
Radio direction finders are placed at points A and B, which are 4.44 mi apart on an east-west line, with A west of B. The transmitter has bearings 39.3 degrees from A and 313.9 degrees from B. Find the distance from A.
Answer:
3.09 miles
Step-by-step explanation:
Given one distance and two angles, we will need to use the Law of Sines. For this, we need to know the internal angles of the triangle formed by the various bearing lines.
The angle between the bearings of A and B from the transmitter will be the difference of the reverse of the given bearings.
A from T = 39.3° +180° = 219.3°
B from T = 313.9° -180° = 133.9°
Then the angle at T between receivers is ...
219.3° -133.9° = 85.4°
The angle between A and T as measured at B will be ...
313.9° -270° = 43.9°
These angles and length AB can be used with the Law of Sines to find AT:
AT/sin(B) = AB/sin(T)
AT = AB(sin(B)/sin(T)) = (4.44 mi)·sin(43.9°)/sin(85.4°)
AT ≈ 3.09 mi
The distance of the transmitter from A is about 3.09 miles.
3)
Which describes the slope of the line in the graph?
A)
zero
B)
positive
negative
D)
undefined
Answer:
C. Negative
Step-by-step explanation:
The line is not horizontal or vertical, therefore we the slope cannot be zero or undefined.
This leaves us with either positive or negative...
A positive slope goes from the lower left corner (Quadrant 3) of the graph up to the upper right (Quadrant 1).
A negative slope goes from the upper left corner (Quadrant 2) of the graph down to the lower right (Quadrant 4).
Since this line goes from the upper left corner to the lower right, it has a negative slope
simplify this expression
what’s the slope of this