Answer:
because all sides are equal
The expression is a perfect square of (x+10)².
What is perfect square?A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
For example, 25 is a perfect square because it is the product of integer 5 by itself, 5 × 5 = 25.
Given that the expression, x² + 20x + 100,
So, writing the expression as expanded form,
x·x + 2·10·x + 10·10
x² + 2·10·x + 10²
We see it is in the form of a² + 2ab + b²,
We know that, a² + 2ab + b² = (a+b)²
So,
x² + 2·10·x + 10² = (x+10)²
Hence the expression is a perfect square of (x+10)².
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A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle
9514 1404 393
Answer:
205 ft
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...
A = LW
7585 = (6w-17)(w)
6w² -17w -7585 = 0
Perhaps most straightforward is using the quadratic formula to solve this.
For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...
[tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]
The width is 37 feet, so the length is ...
6(37) -17 = 205 . . . feet
The length of the rectangle is 205 feet.
What figure can be made using the net shown?
a triangular prism
a rectangular prism
a triangular pyramid
a rectangular pyramid
Answer:
A rectangular pyramid
Answer:
rectangular pyramid
Step-by-step explanation:
just took the test
The figure can be made using the net shown is a rectangular pyramid.
What is Difference between Pyramid and Prism?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base.
A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
Pyramids and prisms are both three-dimensional solids with flat faces and bases.
Yet, a pyramid only has one base, whereas a prism has two bases that are identical.
Here, the base is rectangular then the figure shows A rectangular pyramid.
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What is the measure of RST? S O A. 158° 07 O B. 790 G. 689 R D. 2020 158°
Is Michael correct? Will choose brainly
7,485 divived by 6 equals
1247.5
Hope this helps :T
Which graph represents the parametric equations x = 3t and y = One-halft3 – 1, where –2 ≤ t ≤ 3?
Answer:
D
Step-by-step explanation:
EDG 2021
Answer:
D is the answer
Step-by-step explanation:
Create a table and a graph from the equation y=4x
Flip-flop sets are on sale at buy
one, get one half-off. Maria and
Jackie each decide to get a pair.
The flip-flops are priced at $24.00.
If they decide to split the total
evenly, then how much will each
pay?
What is the perimeter of the triangle
Answer:30 centimeters
Step-by-step explanation:
The bigger square with an area of 144 cm squared has a perimeter of 100 with each side equal to 25. You find this by seeing that 25 times 25 equals the area of the square. Same thing with the smaller square 5 times 5 equals 25. Now that we have the perimeter for the sides that are connected to the square (25) and (5), multiply those together just as you would with finding the area of a square. (25)(5)=60. Since this is a triangle you divide your answer in half which is 30.
What is the surface area of the composite figure shown?
Answer:
531 m²
Step-by-step explanation:
9x9x5=405 (5 sides that are 9x9, including the bottom)
1/2x9x7x4=126 (4 triangles on top)
405+126=531
help with math please giving lots of points!
Answer:
9)
1 2/3 ÷ 2 1/4 = 5/3 x 4/9 = 20/27
10)
3 3/5 ÷ 1 3/4 = 18/5 x 4/7 = 72/35
A water storage tank is cone shaped. The radius of the tank is 20 feet and the height of the tank is 35 feet.
Study the figure below...
20 feet...
35 feet...
Which measurement represents the volume of the water storage tank
In circle Z, BZ = FZ, BZ 1 CA, FZ 1 DC DF = 18 in.
What is BC?
Answer:
18 in.
Step-by-step explanation:
I just took the quiz
Answer:
The dimenssion of BC is - 18in.
Step-by-step explanation:
Definition of circle:
The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.
Step 1:
in Δ[tex]ZFC[/tex] and Δ[tex]ZFD[/tex]
[tex]ZD = ZC[/tex] ( Radius of the circle will be same )
[tex]ZF= ZF[/tex] (Common side in both triangle)
[tex]$\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C][/tex]
So from Side Angle Side theorem,
[tex]$\triangle Z F C \cong \triangle Z f D$[/tex]
So, [tex]$F C=F D=18 in.[/tex]
Step 2:
[tex]$\triangle B C Z$[/tex] and [tex]$\triangle F C Z$[/tex]
[tex]$B Z=F Z \quad$[/tex] (Given)
[tex]CZ = CZ[/tex] (Common side in both the triangle)
[tex]$\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$[/tex] and [tex]$$\overline{F 2} \perp \overline{D C}]$$[/tex]
So from sides side angle theorem,
Δ[tex]BCZ[/tex]≅ Δ[tex]FCZ[/tex]
So, [tex]BC = FC[/tex]
Hence [tex]BC = 18in.[/tex]
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The algebraic expression for the sum of 5 and g?
Answer:
5 + g
Step-by-step explanation:
The sum of 5 and g,
5 + g
10,045 rounded to the tens place
Answer:
10045 rounded to nearest tens is10050
Find the missing lengths
Answer:
x = 13 cm
Step-by-step explanation:
The figure given is a square.
Area of the given square (A) = 169 cm²
Formula for area of a square is:
A = s²
Where,
s = x
Thus:
169 = x²
Take the square root of both sides
√169 = √x²
13 = x
x = 13 cm
which expression is equivalent to (2x ^2 +6)(x-2)
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation: First multiply 2x^2 to x - 2 to get 2x^3 - 4x^2
and then multiply 6 to x - 2 to get 6x - 12. Then put the equation together:
2x^3 - 4x^2 + x - 2
Round 6,584,003 to the nearest 10,000
The answer is 6,580,000.
I hope this helped! :)
PLEASE !!! HELP QUICKLY !!!
Some credit cards offer a low introductory APR for a set period of time. After the introductory period is over, the APR is increased to a new rate. According to the sample credit card disclosure agreement, after a period of ,_______ the APR will increase to ______.
Blank 1 options (one month, six months, one year)
Blank 2 options (8.99%, 10.99%, 12.99%, 14.99%, 28.99%)
Answer:
1 Year & 14.99%
Step-by-step explanation:
As the teams fundraiser,Agnes and Betty both sold candy bars at the end of the fundraiser Agnes determined that she sold 8 more candy bars than Betty sold if Agnes and Betty sold a total of 348 candy bars how many did Betty sell the
Answer:
356
Step-by-step explanation:
HELPPPP!!!!! What is the value of y?
B
60
А
5
с
Enter your answer, as an exact value, in the box.
y =
Answer:
y = 8.66
Step-by-step explanation:
tan 60° = y/5
1.7321= y/5
y = 8.66
Help..........................
Answer:
-21 yd
Step-by-step explanation:
[tex]-31-2+12=-21[/tex]
The probability distribution for a
random variable x is given in the table.
-5
3
-2
0
2
3
Probability
117
.13
.33
-16
11
-10
Find the probability that x<-3
Answer:
[tex]P(x \le -3) =0.30[/tex]
Step-by-step explanation:
Given
The attached probability distribution of x
Required
Find [tex]P(x \le -3)[/tex]
To do this, we consider all values of x less than or equal to-3.
So, we have:
[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]
From the table:
[tex]P(x=-5) = 0.17[/tex]
[tex]P(x = -3) = 0.13[/tex]
So, the equation becomes
[tex]P(x \le -3) =P(x=-5) + P(x = -3)[/tex]
[tex]P(x \le -3) =0.17 + 0.13[/tex]
[tex]P(x \le -3) =0.30[/tex]
Seamus draws a triangle with angles of measures 40°, 60°, and 80°. Edwina draws a triangle with these same three angle measures. Which statement must be true?
A Edwina's triangle is the same size as Seamus's triangle.
B Edwina's triangle is the same shape as Seamus's triangle.
C The perimeter of Seamus's triangle is greater than the perimeter of Edwina's triangle.
D The area of Edwina's triangle is less than the area of Seamus's triangle.
Answer:
It may be D or A hopeit helps
Step-by-step explanation:
Solve the equation 23+n=29 using the inverse operation.
Answer:
n=6
Step-by-step explanation:
i used math-way :P
A shark swims at a constant rate of
25
miles per hour. If
h
represents the number of hours, and
m
represents the total number of miles the shark swims, which equation correctly represents the relationship?
student will randomly select a tile from a bag containing one red one yellow one blue and one green tile and then roll a cube with faces numbered 1 through 6 what is the probability that a student draws a red or yellow towel in rolls a number between 1 and 3 enter your answer as a percentage to the nearest percent
I NEeD My BRiAnLiEsT PeRsOn
Answer:
25%Step-by-step explanation:
There are 4 colors, probability of red or yellow:
P(red or yellow) = 2*1/4 = 1/2And a cube faces 1 to 3:
P(1 to 3) = 3*1/6 = 1/2Probability of the two events above:
1/2*1/2 = 1/4 = 25%Cory has $24 more than twice as much as Stan. Together they have $150. How much money dose each have ?
Answer:
99 and 51
Step-by-step explanation:
Which shape has the least lines of symmetry?
Answer:
A
Step-by-step explanation:
B, C, D are all symmetrical
Answer:
a
Step-by-step explanation:
since B, C, D are all symmetrical it should be a
HELP!?? Please hurry due today!!!!
Answer:
348m^2
Step-by-step explanation: