Answer:
67....................
The two figures are similar. Complete sentences
a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain
Answer:
a)ABC ≅ A'B'C' (SSS) b) Enlargement c) Scale factor = 4
Step-by-step explanation:
a) ABC ≅ A'B'C' (SSS)
b) The figure is going through an enlargement, this is evident as the figures have a scale factor of 4. If we were to put them into a fraction like this -
6/24=12/48=15/60
The figures are getting bigger, so they are going through an enlargement.
c) To find the scale factor of like done above, we could put them into a ratio.
6/24=12/48=15/60
Which would result in the scale factor of 4.
Find the surface area of the cube and show your work please : )
Answer:
150 cm.
Step-by-step explanation:
There 6 squares in a cube.
**SQUARES HAVE EQUAL SIDES.**
To find the area of an individual square, multiply the side length by itself twice. (x^2)
The side lengths of the squares are 5.
5 x 5 = 25.
25 is the area of each individual square.
Since there are 6 squares in total, multiply 25 by 6.
25 x 6 = 150.
Therefore, 150 cm is the surface area of the cube.
Which equation represents a circle with a center point of (-2,3) that passes through the point (4, -3)?
PLEASE HELP ASAP IM GIVING BRAINLIEST
Answer:
[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]
Step-by-step explanation:
[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]
[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]
[tex]equation:[/tex]
[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]
[tex](x+2)^{2}+(y-3)^{2} =72[/tex]
-----------------------------------
hope it helps...
have a great day!!
The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The center of the circle, (h,k) = (-2,3)
The point on the circle, (x,y) = (4,-3)
The radius of the circle is
[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]
⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]
⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]
⇒ [tex]r=\sqrt{72}[/tex]
The formula of equation of circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
The circle has the center (h,k) = (-2,3) and radius is √72,
⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]
⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]
Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.
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Marty has read 32% of his 400-page library book. How many pages has Marty read?
Answer:
128 pages
Step-by-step explanation:
[tex]0.32*400[/tex]
[tex]=128[/tex]
In total, Marty had read 128 pages of his book.
I need help, please!!!!!!!!!!!!
Answer:
Its d!!!!!! Welcome!
Step-by-step explanation:
Can you guys help me I’m a big stuck on this one ?!
Answer:
the first one
Step-by-step explanation:
Personal Finance
Which of these statements is false?
All states have state income taxes.
Different states have different tax rates.
Some states consider some income to be tax free.
Some states tax all taxable income at the same rate; they have a flat tax rate.
Answer:
Some states consider some income to be tax free. this statement is false
it would probably go with one of the first 2. they sound opposite of each other. probably go with the first 1?
sorry if I'm wrong
How many different triangles can you make if you are given these two lengths for sides?
The number of triangles is an illustration of Triangle Inequalities theorem
There are infinitely many triangles that can be made given two side lengths
How to determine the number of triangles?The side lengths of two sides are given as 18 inches and 25 inches.
Assume the third side of the triangle is x
Using the Triangle Inequalities theorem, we have:
a+b > cb+c > a,c+a > bSo, we have:
x +18 > 25
x > 7
x + 25 > 18
x > -7.
18 + 25 > x
x < 43.
Ignore the negative value.
So, we have the solution set to be 7 < x < 43.
This means that the third side can take any value between 7 < x < 43.
Hence, there are infinitely many triangles.
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42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3 = 0
Answer:
Roots: 0.79 and 3.79Step-by-step explanation:
[tex]x^2 + 3x - 3 = 0\\a=1\,,\ \ b=3\,,\ \ c=-3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-3)}}{2\cdot1}=\dfrac{-3\pm\sqrt{9+12}}{2}=\dfrac{-3\pm\sqrt{21}}{2}\\\\x\approx0.79\quad or\quad x\approx3.79[/tex]
The ending time is 8:22 P.M. and the elapsed time is 2 1/4 hours what’s the starting time?
Answer:
6:07
Step-by-step explanation:
8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.
Find the probability that first marble picked is green and second marble picked is red.
Write your result as a percentage.
Answer:
20%
Step-by-step explanation:
3 green, 1 brown, 2 red
3 + 1 + 2 = 6
Total: 6
The probability of picking a green one is 3/6 or 1/2.
———————————————————————
2 green, 1 brown, 2 red
2 + 1 + 2 = 5
New total: 5
The probability of picking a red one is now 2/5.
———————————————————————
First, we multiply them by each other.
2/5 x 1/2 = 1/5
Next, we convert 1/5 to a percentage to get our final answer.
1/5 x 20 = 20/100, which is 20%.
So our final answer is 20%.
If i have 23 liters in a bucket and i pour it into 4 smaller buckets, how many liters will each bucket have?? PLS HELP
[tex]f(x)=1/3(4-x)² what is the value of f(16)[/tex]
Answer:
wheneveryouseeanxonthe
rightputa16thatwhatf(16)
means.
f(16)=
3
1
(4−16)
2
f(16)=
3
1
(−12)
2
f(16)=
3
1
(144)
f(16)=48
[isyouranswer]
Step-by-step explanation:
mark me as brainliest.oky?
A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.
Answer:
2x+40=982
Step-by-step explanation:
What is the measure of the missing angle
Answer:
dont you just subtract 90-61 to get 29 since a triangle is 90 degrees
what expressions from the table are equivalent to that expression ?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The applicable rules of exponents are ...
[tex]\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a[/tex]
Calculate the value of b.
(b-15)
3b°
(2b + 45°
Diagram not drawn accurately
Answer:
b = 30
Step-by-step explanation:
The sum of the 2 angles above the line will equal the angle below the line
3b + b - 15 = 2b + 45
4b - 15 = 2b + 45 ( subtract 2b from both sides )
2b - 15 = 45 ( add 15 to both sides )
2b = 60 ( divide both sides by 2 )
b = 30
will mark brainliest! someone please help me find the area of this!
Is -2 x 4 positive or negative? please help i have 19 missing assignments
Answer:
-8
Step-by-step explanation:
a negative number multiplied by a positive one gives as a result a negative number
-2 x 4 = -8
Volume of Cylinders and Prisms
Formula for finding cylinder:
π • r
This will find the area of the Base (B)
Then you multiply by the height given.
V= π• r • h
Just plug in the numbers
Formula for a rectangular prism:
Find the length • width
This is the area or base area (B)
Then multiply by the h
V= l•w•h
Hope this helps
construct the linear equation for the table
Write the quotient as a mixed number. 99 ÷ 5 = 19 R4
PLEASE HELP :(
Answer:
19 4/5Step-by-step explanation:
99 = 5*19 + 499/5 = 19 + 4/599/5 = 19 4/5Answer:
Solution given
99/5=19 4/5 is your quotient in mixed number.
Identify the equation of the circle B that passes through (5,1) and has center (3,0).
Answer:
Are you saying look for the slope? because if so can help
Step-by-step explanation:
Answer: (x − 3)2 + y2 = 5
a. (x + 3)2 + y2 = 5
b. (x − 3)2 + y2 = 25
c. (x − 3)2 + y2 = 5
d. (x + 5)2 + ( y + 1)2 = 25
Step-by-step explanation:
Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.
r= √(x2 − x1)2 + (y2 − y1)2
Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.
r= √( 5− 3)2 + (1 − 0)2
= √22 + 12
= √4 + 1
= √5
So, the length of the radius is √5 units.
The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.
(x − 3)2 +(y − 0)2 = (√5)2
Simplify.
(x − 3)2 + y2 = 5 Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.
Which expression is equivalent to
d12,
1000
0 100034
0 10006
otos
o too
Abigail's decorating business charges a initial fee of $100 plus an additional $13.50
for every hour worked. How much would Abigail earn for 3 hours worked?
O $113.50
O $127.50
O $154.00
O $140.50
Answer: $140.50
Step-by-step explanation: Just multiply $13.50 by 3 then add the $100 initial fee.
Liz flips a coin 30 times. Coin lands heads up 12 times and tails of 18 times. Each statement.
Answer:
Step-by-step explanation:
Its 50% for the first one
8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?
formula 3.35 times something
Peter is x years old and his sister is 5 years older. If the product of their ages is 84, form an equation in x and solve it to find peter's age
Answer:
x^2 + 5x - 84 = 0
x = 7
Step-by-step explanation:
let the sister's age = y
sister's age (y) = 5 + x equation 1
xy = 84 equation 2
Make y the subject of the formula in equation 2
y = 84/x
equate equation 1 and 2
84/x = 5 + x equation 3
Multiply equation 3 by x
84 = 5x + x^2
x^2 + 5x - 84 = 0
tjis can be solved using quadratic equation
x^2 -7x + 12x -84 = 0
x(x + 12) -7(x + 12)
x = 7 or - 12
age cant be negative so his age is 7
Find the surface area of the figure.
8 ft
19 ft
14 ft
12.1 ft
5 ft
Answer:
132.00
Step-by-step explanation:
The surface area of the composite figure is S = 706.4 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle
On simplifying , we get
2 ( area of trapezium ) = ( a + b ) x h
2 ( area of trapezium ) = ( 19 + 5 ) x 12.1
2 ( area of trapezium ) = 290.4 feet²
Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )
2 ( area of opposite rectangles ) = 224 feet²
Area of smaller rectangle = 5 x 8 = 40 feet²
Area of larger rectangle = 8 x 19 = 152 feet²
Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²
S = 706.4 feet²
Hence , the area of the figure is S = 706.4 feet²
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what is the highest fractions 2/4 5/6 3/2 1/9 4/5 8/2
Answer:
8/2
eight halves
Step-by-step explanation:
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