Answer:
A≈118.2
Step-by-step explanation:
r= Radius= 3.5
l= Slant height= 7.25
A= πrl+πr2= π·3.5·7.25+π·3.52≈118.20242
Rosa graphs the line y = 3x + 5.then she dilates the line by a factor of 1/5 with (0,7) as the center of dilation .
Answer:
Different slope of 3
Step-by-step explanation:
Just did it
The equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).
How to measure dilation?To dilate the line y = 3x + 5 by a factor of 1/5 with (0,7) as the center of dilation, we can follow these steps:
Shift the line so that the center of dilation is at the origin. To do this, we subtract 7 from the y-intercept of the original line, giving us y = 3x - 2.
Apply the dilation factor to the line. To do this, we multiply the coordinates of each point on the line by 1/5. This gives us the new equation:
y = (3/5)x - (2/5)
Shift the line back to its original position. To do this, we add 7 to the y-intercept of the dilated line, giving us the final equation:
y = (3/5)x + (33/5)
Therefore, the equation of the dilated line is y = (3/5)x + (33/5), and it passes through the point (0,7).
To know more about dilation follow
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A man has 32 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 545
cents, how many dimes and how many quarters does he have?
Your answer is
number of dimes equals
number of quarters equals
Answer:
34
=
x
+
y
34
−
x
=
y
565
=
10
x
+
25
y
Substitute the first equation
565
=
10
x
+
25
(
34
−
x
)
565
=
10
x
+
850
−
25
x
15
x
=
285
x
=
19 dimes
So,
34
−
19
=
15 quarters
Step-by-step explanation:
19 quarters is the answer.
What is the value of y in the figure below?
(7y + 27)
(15x - 5)
125°
Answer:
Simplifying
(7y + 27) + (15x + -5) = 125
Reorder the terms:
(27 + 7y) + (15x + -5) = 125
Remove parenthesis around (27 + 7y)
27 + 7y + (15x + -5) = 125
Reorder the terms:
27 + 7y + (-5 + 15x) = 125
Remove parenthesis around (-5 + 15x)
27 + 7y + -5 + 15x = 125
Reorder the terms:
27 + -5 + 15x + 7y = 125
Combine like terms: 27 + -5 = 22
22 + 15x + 7y = 125
Solving
22 + 15x + 7y = 125
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-22' to each side of the equation.
22 + 15x + -22 + 7y = 125 + -22
Reorder the terms:
22 + -22 + 15x + 7y = 125 + -22
Combine like terms: 22 + -22 = 0
0 + 15x + 7y = 125 + -22
15x + 7y = 125 + -22
Combine like terms: 125 + -22 = 103
15x + 7y = 103
Add '-7y' to each side of the equation.
15x + 7y + -7y = 103 + -7y
Combine like terms: 7y + -7y = 0
15x + 0 = 103 + -7y
15x = 103 + -7y
Divide each side by '15'.
x = 6.866666667 + -0.4666666667y
Simplifying
x = 6.866666667 + -0.4666666667y
Step-by-step explanation:
Because I know
Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?
O x 35
O 43x
O x2-8
Ox>6
Save and Exit
Next
Submit
Answer: a
Step-by-step explanation:
did the test
Chidi measured the angle of elevation
of a tree and found it was 38°. He then
valked 25 m towards the tree and
measured the angle of elevation again
bo be 50°.
Find the actual height of the tree
d Find the total distance to the bot-
tom of tree from Chidi's initial
position
Answer: 56.72 m, 72.6 m
Step-by-step explanation:
Given
The initial angle of elevation is [tex]38^{\circ}[/tex]
after walking 25 m, the angle of elevation is [tex]50^{\circ}[/tex]
In [tex]\triangle ABD[/tex]
[tex]\Rightarrow \tan 38^{\circ}=\frac{h}{x+25}[/tex]
[tex]\Rightarrow h=\tan 38^{\circ}(x+25)\quad \ldots(i)[/tex]
In [tex]\triangle ABC[/tex]
[tex]\Rightarrow \tan 50^{\circ}=\frac{h}{x}\\\\\Rightarrow h=x\tan 50^{\circ}\quad \ldots(ii)[/tex]
From (i) and (ii)
[tex]\Rightarrow x\tan 50^{\circ}=(x+25)\tan 38^{\circ}\\\Rightarrow 1.191x-0.781x=25\times 0.781\\\Rightarrow 0.4104x=19.532\\\Rightarrow x=47.59\approx 47.6\ m[/tex]
[tex]\Rightarrow h=47.6\times \tan 50^{\circ}=56.72\ m[/tex]
The distance of tree bottom and Chidi's is
[tex]\Rightarrow x+25=47.+25=72.6\ m[/tex]
I need help please...
Enter the following transactions into Richard’s checkbook register and state his ending balance:
Date
Type
Description
Amount
03/01
Check #204
Blue Sky Apartments
$455.00
03/05
DEP
Payroll automatic deposit
$390.36
03/08
Debit
Benny’s Hamburgers and Fries
$9.20
03/15
Check #205
Car payment
$251.59
03/19
DEP
Payroll automatic deposit
$390.36
a.
$715.79
b.
$1,009.81
c.
$780.72
d.
$880.24
Answer:
B
Step-by-step explanation:
Enter the following transactions into Richard’s checkbook register and state his ending balance:
Date
Type
Description
Amount
03/01
Check #204
Blue Sky Apartments
$455.00
03/05
DEP
Payroll automatic deposit
$390.36
03/08
Debit
Benny’s Hamburgers and Fries
$9.20
03/15
Check #205
Car payment
$251.59
03/19
DEP
Payroll automatic deposit
$390.36
a.
$715.79
b.
$1,009.81
c.
$780.72
d.
$880.24
Answer:b
Step-by-step explanation:
How many times do you multiply 5 by itself if the exponent is 56?
Answer:
56 times
Step-by-step explanation:
An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
8.75 divided by 6.5
Answer:
35/26 = 1.346153846
Step-by-step explanation:
The graph of h is a translation 4 units right and 1 unit down of the graph of f(x) = x².
What is the vertex form of this function?
9514 1404 393
Answer:
B. h(x) = (x -4)² -1
Step-by-step explanation:
The translation moved the vertex from (0, 0) to (4, -1). The vertex form equation is ...
h(x) = (x -h)² +k . . . . . quadratic with vertex (h, k)
Filling in the values of the vertex, we get ...
h(x) = (x -4)² -1
______________ is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.Immersive Reader
(7 Points)
Rhomus
Trapezoid
Kite
None of the Above
Answers
quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent is called a kite.
Maura is 58 inches tall. Maura's brother Joey is 4 inches taller than she is. How tall is Joey?
Answer:
62 inches
Step-by-step explanation:
58 + 4 = 62 inches
First person gets brainliest lol
Answer:
YAY
Step-by-step explanation:
Answer:
ayyy im late.. but anyway soo
The point (8,15) lies on a circle centered at (0,0). Where does the circle intersect the -axis? Where does the circle intersect the y-axis? Explain your answer.
Answer:
lee know
Step-by-step explanation:
The circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
As it is stated that the point (8,15) lies on the circle, while the center of the circle is at (0,0). Therefore, the line connecting the point and the center of the circle will be the radius of the circle. The length of the radius of the circle will be equal to,
[tex]\text{Length of the radius}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Length of the radius}=\sqrt{(8-0)^2+(15-0)^2} = \sqrt{64+225} = 17[/tex]
Now, as we know that the circle is centerd at the origin therefore, it will intersect its axis at a length that is equal to its radius as shown below. Therefore, the circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).
Learn more about Circle:
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Please dont steal points only real answers
Can someone please solve this for me btw I’m suppose to be dividing that question using long division
Answer:
0.343
Step by step explanation:
0. 3 4 3
8 2. 7 5 0
− 0
2 7
− 2 4
3 5
− 3 2
3 0
− 2 4
6
can anyone help me i dont know the answer to this question
Answer:
Are not
Step-by-step explanation:
9514 1404 393
Answer:
are notis not proportionalStep-by-step explanation:
To see what multiple y is of x, divide y by x:
y/x = 3/1 = 3
y/x = 5/2 = 2.5
y/x = 6/3 = 2
The values 3, 2.5, and 2 are not all the same, so you must conclude y is not a constant multiple of x.
If the multiple is not constant, the relationship is not proportional.
Use synthetic division to find the result when x^4-10x^2 - 13x-50 is divided by X+ 5.
Answer: it’s x^3-5x^2+15x-88+390/x+5!
Step-by-step explanation:
please help me!! i will give brainliest to whoever gets it correct!!
(you have to find the surface area of it)
Answer:
3 times 4 over 5 equals 2.4
Step-by-step explanation:
Tyler says both 4 and 4 have an absolute value of 4. Is Tyler correct?
Use the number line and words to explain why or why not.
State the most specific name for the figure ! Please help
answer problem 1/2 ÷ 2
Answer:
0.25
Step-by-step explanation:
Answer:
0.25 ...........................
Need help for question 8 and 9. I need the equation that’s passes through the points!
Answer:
Step-by-step explanation:
Question 8
Let the equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
y = mx + b
Here, m = slope and y-intercept = b
Since, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For two points (1, 4) and (5, 8),
m = [tex]\frac{8-4}{5-1}[/tex]
m = 1
Equation will be,
y = (1)x + b
y = x + b
Since, this line passes through (1, 4),
4 = 1 + b
b = 3
Therefore, equation of the line will be,
y = x + 3
Question 9
Let the equation is y = mx + b
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
For two points (2, 10) and (6, 4)
m = [tex]\frac{10-4}{2-6}[/tex]
m = [tex]-\frac{3}{2}[/tex]
By substituting the value of 'm' in the equation,
y = [tex]-\frac{3}{2}x+b[/tex]
Since, this line passes through (2, 10)
10 = [tex]-\frac{3}{2}(2)+b[/tex]
b = 10 + 2
b = 12
Therefore, equation of the line will be,
[tex]y=-\frac{3}{2}x+12[/tex]
Basically everything is in the picture PLEASE HELP me ASAP
Answer:
[tex]A = 89.1327[/tex]
Step-by-step explanation:
1. Approach
To solve this problem, one must divide the figure up into two smaller figures. Calculate the areas of these smaller figures, and then finally, add up the result. The given figure can be divided into a square and a semi-circle. One can solve for the area of the square using the formula ([tex]length*width=area[/tex]). One can solve for the area of the semicircle by solving for the area of the circle, and then dividing it by (2).
2. Solve for the area of the square
This is the easier part, all one has to do is multiply the length of the square by the width;
[tex]length * width = area\\\\8 * 8 = area\\\\64 = area[/tex]
3. Solve for the area of the semi-circle
The formula for the area of a circle is;
[tex](pi)r^2=A[/tex]
Where coefficient ([tex]pi[/tex]) represent the values ([tex]3.1415...[/tex]), parameter ([tex]r[/tex]) represent the radius of the circle, and ([tex]A[/tex]) represents the area.
In the problem, one is given the diameter of the semicircle. The diameter is the largest cord (a line that is drawn in a circle) in the circle, this cord will pass through the center of the circle. The radius is the distance from the center of the circle to the outer edge of the circle. The radius, by its definition will always be half of the diameter. It is given that the diameter of the given circle is ([tex]8[/tex]), therefore the radius is ([tex]4[/tex]), because ([tex]8[/tex]÷[tex]2=4[/tex]).
Substitute in the values and solve;
[tex](pi)(4)^2 = A\\\\3.1415*(16)=A\\\\50.2655=A[/tex]
Don't forget to divide this in half, because the given figure is a semi-circle, not a circle;
[tex]25.1327[/tex]
4. Putting it together
Now add the value for the area of the semi-circle, with the value for the area of the square;
[tex]square + semi-circle = Total\ area\\\\64 + 25.1327 = Total\ area\\\\89.1327 = Total\ area[/tex]
Trey has plastic cubes stored in a box that measures 4 ft long, 212ft wide, and 2 ft tall.
The edge length of each plastic cube is 12ft.
How many plastic cubes can fit into the box?
there are 160 plastic cubes that can fit into the box.
Step-by-step explanation:
brainlist plz
Answer:
27
Step-by-step explanation:
I took the same test
X+18/4=5. What is X. The answer
Answer:
x = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
x + 18/4 = 5
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 18/4 on both sides: x = 1/2If 5 students earned a D, how many total students are represented in the graph?
Answer:
125
Step-by-step explanation:
5/(4%)=125
10 POINTS! Answer ASAP
m5=75 degrees
m11=75 degrees
m16=65 degrees
To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.
180-105=75
To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.
To find 16, we use a combination of the methods used in finding the previous angles.
180-115=65 degrees is angle 4
Angle 4=Angle 16
Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.
Answer:
m5=75 degrees
m11=75 degrees
m16=65 degrees
Step-by-step explanation:
For what value of "c" are the factors of x^2 + cx + 256 the same?
Answer:
32
Step-by-step explanation:
Same factors meaning it is of the form
(x + a)(x + a) = (x + a)^2 = x^2 + 2ax + a^2
Take sqrt(256) = 16
a = 16, c = 2a = 32
Answer:
32
Step-by-step explanation:
What is the factored form of 18+12
6(3+2)
Step-by-step explanation:
that xas factor of 18+12
Answer:
30:)
Step-by-step explanation:
I think it's 30!!!!!