An equilateral triangle has perimeter 57cm, what is the length of one of the sides?
Answer:
19 cm
Step-by-step explanation:
An equilateral triangle has all 3 sides the same length
P = 3s where s is the side length
57 = 3s
Divide each side by 3
57/3 = 3s/3
19 =s
write the equation of circle b with center B(-2,3) that passes through (1,2)
Answer:
[tex](x+2)^2 + (y-3)^2 = 10[/tex]
Step-by-step explanation:
The standard equation for circle is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]
Translate the statement into an equation. Then solve the equation.
The sum of 8 and 3 times a number is 23.
3x - 8 = 23; 5
8+ 3x = 23,5
3x = 8+23; 10
(8 + 3)x = 23; 2
Find the area to the nearest hundredth
Answer:
9.0586 OR
9.06
Step-by-step explanation:
IDK, used fusion 360
pls help will mark as brainliest
Answer:
1/3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
It would have to be 3, because it says that 1/3 is wrong.
Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?
F. Find the absolute value of negative three.
G. Find the opposite of positive three.
H. Find the absolute vaule of positive three.
J. Find the opposite of negative three.
Answer:
F
Step-by-step explanation:
Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.
Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.
Answer:
(x-2)(3x)+(x-2)(4)
When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.
A cylinder has a height of 19 inches and a radius of 18 inches. What is its volu
3.14 and round your answer to the nearest hundredth.
Answer:
19339.64 in³
Step-by-step explanation:
Volume of a cylinder: V = π · r² · h
V = π · 18² · 19
V = π · 6156
V = 19339.64 cubic inches
Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work
A. 2
B. 18
C. 40
D. 80
Answer:
the answer is 40
Step-by-step explanation:
you have to multiply 8x10=80 divied by 20 which equal 40
Answer:
c
Step-by-step explanation:
Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.
A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5
Answer:
b
Step-by-step explanation:
Hope this helpsss :)
Answer:
your answer will be: B. y3 - 4 y2 + 2 y - 5
Step-by-step explanation:
15 ÷ 3 = Δ
Find the value of Δ.
A)
5
B)
12
C)
18
D)
45
Answer:
A)5 is the answer
Step-by-step explanation:
this is the answer
Answer:
A- 5
Step-by-step explanation:
15/3 = 5
The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?
Answer:
66.08
Step-by-step explanation:
First find the markup
56 * 18%
56*.18 =10.08
Add this to the original price
56+10.08
66.08
This is the cost in the store
Answer:
$66.08
Step-by-step explanation:
18% of 56= 10.08
56+10.08=66.08
hope this helps :)
what are the solutions to the system of equations graphed below?
Answer:
(-3,-3) and at (0,6)
Step-by-step explanation:
The solution to the system of equations is where the graphs intersect
The graphs intersect at (-3,-3) and at (0,6)
This recipe will serve 12 pancakes.
Find out how much of each ingredient you would need for 24 pancakes.
Find out how much of each ingredient you would need for 6 pancakes.
Ingredient
12 pancakes
24 pancakes
6 pancakes
4
Eggs
11 tsp
Flour
tsp
Baking Powder
Help me please............
Answer:
Step-by-step explanation:
16*[tex]x^{2}[/tex]
Answer:
16* x^2
Step-by-step explanation:
k* x^n
First simplify the expression:
4^2*x^2
So:
16* x^2
What number should both sides of the following equation be multiplied by to solve for x?
x/7.25 = 4
4
7.25
7
29
Answer:
[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]
A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is the total cost of these purchases including 6% sales tax
Help help help me me me
Step-by-step explanation:
...
the answer is 49/40
Which phrase represents this expression?
(47−17)×4
A. 4 times the difference of 47 and 17
B. 4 times the difference of 17 and 47
C. the difference of the product of 4 times 17 and 47
D. the difference of 47 and the product of 4 times 17
simplify x^2+(y-9)^2=
Answer: Simplify each term.
x^2+y^2−18y+81
Step-by-step explanation:
What type of graph does not show the mean?
The misleading one or the one that miss out information.
"Mean" Means the middle number of the total number. Like add all the number in the graph and divide by 2
Answer:
A bar graph.
Step-by-step explanation:
Because a bar graph is a chart used to represent data visually using bars of different heights or lengths.
Simplify 5(x – 7) + 6x.
Answer:
11x -35
Step-by-step explanation:
5(x – 7) + 6x.
Distribute
5x - 35 +6x
Combine like terms
11x -35
Answer:
11x-35
is the answer
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Answer:
$80.48
Attached is the image of the entry way
Step-by-step explanation:
Given that each unit length represents 1 foot.
To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.
The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft
Area of a Trapezium = 1/2 × (a+b)h
a = 4ft, b= 7ft, h = 5ft
Substituting the values;
Area of trapezoid = 1/2 × (7 + 4)x 5
Area of trapezoid = 27.5 ft^2
Area of a parallelogram = length × height
Length = 4 ft, height = 4 ft
Substituting the values;
Area of parallelogram = 4 x 4
Area of parallelogram = 16 ft^2
Total area = area of trapezium + parallelogram
Total area = 27.5 + 16 = 43.5 ft^2
Cost per square foot = $ 1.85
Total cost = cost per square foot × area
Total cost = $1.85 per square foot × 43.5ft^2
Total Cost = $80.48
Answer:
Sal will pay $ 80.48 to tile his entryway.
Step-by-step explanation:
Separate the entryway into simpler shapes: a trapezoid and a parallelogram.
Find the area of the simpler figures. Count units to find the dimensions.
Trapezoid
A = 1/ 2
h(b₁ + b₂)
A = 1/ 2
(5)(4 + 7)
A = 1/ 2
(5)(11)
A = 27.5
The area of the trapezoid is 27.5 ft
2 .
Parallelogram
A = bh
A = 4 · 4
A = 16
The area of the parallelogram is 16 ft
2 .
Find the area of the entryway.
A = 27.5 + 16
A = 43.5
The area of the entryway is 43.5 ft
2 .
Calculate how much Sal will pay to tile his entryway.
Area · Cost per foot = Total Cost
43.5 · $1.95 = $84.83
Sal will pay $84.83 to tile his entryway.
Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?
The correct question is:
Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?
(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x
is (0,5). [
(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.
(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.
(4) Neither graph has a y-intercept.
Answer:
(2) and (3) are true.
Step-by-step explanation:
The correct options are:
(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0
(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0
Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
NEED HELP WITH THIS ASAP
Answer:
D; y= 2.52x
Step-by-step explanation:
You half $5.04 (the cost of two lbs of cranberries) and get $2.52 then multiply by x (the lbs.) equals y the cost of all the lbs. of cranberries.
Therefore getting the equation of y= 2.52x
Answer: y=2.52x
Step-by-step explanation:
if you take any of the statements you can calculate it.
Let "x" be pounds, and "y" the total cost of x pounds.
2x=5.04
Divide by 2
x=5.04/2
x=2.52
please help i don't get it
Answer:
97 cm
Step-by-step explanation:
The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be
3 + 10 + 3 + 33 + 33 + 15 = 97 cm
5x+2y = 10
Identify the y-intercept of the
following equation.
Answer:
y intercept = 10
hope this answer helped
Can you help me please
Answer:
372.6
3Step-by-step explanation:
David correctly factored the expression m^2-12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m +4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why
Answer:
(m-16)(m+4)
Step-by-step explanation:
To factor a quadratic expression
First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.
David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).
How to factor an equation?An equation can be factored into its factors by splitting the middle term of the equation.
The given expression can be factored as shown below:m^2 - 12m - 64 = 0
⇒ m^2 - 16m +4m - 64 = 0
⇒ m(m - 16) + 4(m - 16) = 0
⇒ (m + 4)(m - 16) = 0
The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).
Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).
Learn more about factorization here: https://brainly.com/question/25829061
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