[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]
what is 1,455.8 x 4,628.9?
Answer:
6738752.62
Step-by-step explanation:
1,455.8 x 4,628.9=6738752.62
Answer:
6738752.62
hope this helps
What is the approximate area of the shaded region?
Use 3.14 for pi
12.6 units
28.3 units
50 2 units
78.5 units
Answer:
A
Step-by-step explanation:
We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conversions). Don’t forget to show your work.
Answer:
722.5792 cm²
Step-by-step explanation:
1 in ≈ 2.54 cm
Squaring both sides:
⇒ (1 in)² ≈ (2.54 cm)²
Apply exponent rule (ab)² = a²b²
⇒ (1)² in² ≈ (2.54)² cm²
⇒ 1 in² ≈ 6.4516 cm²
Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:
⇒ 112 in² ≈ (112 × 6.4516) cm²
= 722.5792 cm²
solve pls brainliest
= 29/6 ×4
=29/3 ×2
=58/3
=19(1/3)
Please help me with this problem
Answer:
-36
Step-by-step explanation:
6^2+(y-x)
=> 6^2+[-77 - (-5)]
=> 6^2+[-77+5]
=> 6^2+(-72)
=> 36+(-72) [6^2 = 36]
=> -36
can you mark me brainliest?
Hello-
6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.
x = -5
y = -77
Let's plug our given values into our equation for x and y. Like so-
6² + (y - x) becomes 6² + (-77 - (-5))
In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.
6² + -72
Now we do our exponents, or powers.
6² = 36
36 + -72
Now we do the easiest part - adding.
32 + -72 = -36
So the answer to this problem (if I've done my algebra correctly) is -36.
Hope this helps.
what is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
a. 2
b. 6
c. 9
d. 8
The area of the trapezoid, to the nearest whole number is: D. 8 units²
What is the Area of a Trapezoid?Area of trapezoid = 1/2(a + b)h, where:
h = height of trapezoida and b = lengths of the bases of the trapezoid.Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:
h = 3 unitsa = 3 unitsb = 2 unitsArea of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3
Area of the trapezoid = 7.5 ≈ 8 units²
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I need help with this
how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent
Answer: F = 661.56
Step-by-step explanation: interest formula: F = Pe^(rt)
F = future value
P = present value = 500
r = interest rate = 0.04
t = years = 7
F = 500e^(0.04 * 7)
You roll a number cube 120 times. How many times can you expect the number cube to land on a six?
Answer:
10 or 6
Step-by-step explanation:
pls tell me if im wrong
How do you solve 2. 310x/4y times 8y/5x =
Answer: 0.924
Step-by-step explanation:
Given
[tex]\frac{2.310x}{4y} *\frac{8y}{5x}[/tex]
Simplify [tex]\frac{2.310x}{4y}[/tex] to [tex]\frac{0.5775x}{y}[/tex]
[tex]\frac{0.5775x}{y}*\frac{8y}{5x}[/tex]
Cancel y
[tex]0.5775x* \frac{8}{5x}[/tex]
Cancel x
[tex]0.5775* \frac{8}{5}[/tex]
Use the rule, [tex]a*\frac{b}{c} =\frac{ab}{c}[/tex]
[tex]\frac{0.5775*8}{5}[/tex]
Simplify
[tex]\frac{4.62}{5}[/tex]
Simplify
0.924
Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?
Answer:
Late because 12 were on time so 5 would be late
Find the missing side of the right triangle.
options:
6.5 ft
7 ft
5.5 ft
6 ft
Answer:
6ft, the missing side is the base(b), 10ft is the hypotenuse(h) and 8ft is the perpendicular(p). The formula for base is root over h²-p² and root over 10²-8² equals 6.
Which of the following is ALWAYS a property of a parallelogram
A. 4 congruent sides
B. opposite sides are parallel
C. 4 angles that measure 90 degrees
D. 4 equal angles
Answer:
B. Opposite sides are parallel.
Step-by-step explanation:
This is the definition of a parallelogram.
The other 3 conditions may or may not be true.
Opposites sides are parallel is always a property of a parallelogram.
What is parallelogram?
" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."
According to the question,
As per the properties of parallelogram we have,
Opposites sides are always parallel to each other.Opposite sides are always congruent to each other.Opposite angles are always congruent to each other.Adjacent angles are supplementary.Diagonals bisect each other.Hence, Option (B) is the correct answer.
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HELP ASAP! WILL MARK BRAINLIEST
Identify each number as rational or irrational by circling the word that describes it:
Rational or Irrational:
Rational or Irrational: 0.46
Rational or Irrational: √100
Rational or Irrational: -16
Rational or Irrational: √21
Rational or Irrational: 10
PLS HELP- WILL GIVE BRAINLIEST!!
Answer:
b = 4 mm
Step-by-step explanation:
[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]
Hope this helps
Answer:
The missing leg measures b = 4 millimeters in length.
Step-by-step explanation:
The Pythagorean theorem should be used to find the missing leg measure.
The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.
Let's use the Pythagorean theorem now that a = 3 and c = 5.
a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.
3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.
9 + b^2 = 25
b^2 = 16 - Take 9 off both sides or subtract.
square root of b^2 = square root of 16 - Take the square root of both sides of the equation.
b = 4 - Simplify
The missing leg measures b = 4 millimeters in length.
Select all that apply. (30 points)
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles equal 180degrees. 1 = 60 and 6=120. 60+120=180.
5 = 60 and 7=120. 60+120=180
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
#a
Perimeter=Sum of sides
400+200√6+200+200√3600+200(√6+√3)600+200(2.6+1.7)600+200(4.3)600+8601460m#b
Area:-
1/2×Base×Height1/2(200+200√3)(200√3)(200+200(1.7))100√3(200+340)(170)540(170)91800m²Answer:
Perimeter = 1436.3 m (nearest tenth)
Area = 94641.0 m² (nearest tenth)
Step-by-step explanation:
The perimeter is the sum of the lengths of all the sides.
[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]
Line t is tangent to the circle. Find the measure of arc DEF.
Answer: 234 degrees
Step-by-step explanation:
Angle formed by a chord and a tangent has half the measure as the arc formed by the chord
The value of measure of arc DEF is,
⇒ 234 degree
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Hence, We know that;
The angle formed by a chord and a tangent is equal to 1/2 the measure of the intercepted arc.
Thus, The value of measure of arc DEF is,
⇒ 2 x 117 degree
⇒ 234 degree
Learn more about the angle visit:;
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I don't understand this
Answer:
Step-by-step explanation:
What is the 30th term of the following arithmetic sequences
17, 21, 25, ...
Answer:
133
Step-by-step explanation:
an = a1 + f × (n-1)
an= 17+4 x (30-1)
an= 17+4 x 29
an= 17+116
an=133
identify which of the following sequences is a geometric sequence. check all that apply. from math nation test yourself
A geometric sequence is any sequence that has a common ratio and a non-zero initial value
The sequence 2, 6, 18, 54, ..... is a geometric sequence
How to determine the geometric sequence?
A geometric sequence is represented as:
Tn = ar^(n - 1)
Where:
n represents the number of termsa represents the initial valuer represents the common ratioTn represents the current termAssume that:
a = 2 and r = 3.
The terms of the sequence would be:
T1 = 2 * 3^0 = 2
T2 = 2 * 3^1 = 6
T3 = 2 * 3^2 = 18
T4 = 2 * 3^3 = 54
So, we have:
2, 6, 18, 54, .....
Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence
Read more about geometric sequence at:
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help me find the area please
Answer:
I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.
What is the equivalent expression of 3(7e+1)=
Answer:
210 i hope i helped you with this question
Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
Answer:
Image result for Find the surface area of a square pyramid with side length 3 cm and slant height 4 cm
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
Step-by-step explanation:
Find the area of the window.
Answer:
2512
Step-by-step explanation:
Formula=πr^2/2
(3.14×40×40)/2
=2512
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
okay so i think the length of CD is 16cm
3 1/4 - 1 3/5 | please help !!
Answer:
Step-by-step explanation:
Step: 1: Convert mixed fraction to improepr fraction.
Step: 2 : Find the LCM of 4 , 5 = 20
Step 3: Find equivalent fractions with denominator as 20
Step 4: Now subtract.
[tex]3\dfrac{1}{4}-1\dfrac{3}{5}=\dfrac{13}{4}-\dfrac{8}{5}[/tex]
[tex]\sf = \dfrac{13*5}{4*5}-\dfrac{8*4}{5*4}\\\\\\ = \dfrac{65}{20}-\dfrac{32}{20}\\\\\\ = \dfrac{65-32}{20}\\\\\\ = \dfrac{33}{20}\\\\ \\ = 1 \dfrac{13}{20}[/tex]
PLSS I NEED HELP!!
1). To make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury. It only takes Earth 1 day! How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.
2). Some plants grow quickly. An invasive weed species can grow quickly. One variety grows up to 0.89 ft per day. How fast in inches per hour can this weed grow? Show your work using the correct conversion factors.
3). David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch.
a). What part of the expression represents the cost of the repair before tax?
b) Explain what your answer in Part A means in the context of the problem.
1) It takes 1435.75 hours for Mercury to complete a full rotation.
2) The weed can grow at 0.445 inches per hour.
Time calculation1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:
59 x 24 + 19 + 0.75 = X1416 + 19.75 = X1435.75 = X2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:
0.89 / 24 = ft per hour0.037 = ft per hour1 ft = 12 inches0.037 x 12 = 0.445Learn more about time calculation in https://brainly.com/question/14695611
Answer:
1) It takes 1435.75 hours for Mercury to complete a full rotation.
2) The weed can grow at 0.445 inches per hour.
Step-by-step explanation:
can someone explain this pls
brainliest
Write an expression that is equivalent to 110% of a quantity, n
Answer:
[tex]\displaystyle 1\frac{1}{10}n[/tex]
Explanation:
Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.
I am joyous to assist you at any time.
