Step-by-step explanation:
[tex]i \: \: think \: \: it \: \: is \: \\ \\ {a}^{2} - 2ab + {b}^{2} \\ \\ that \: is \: for \: \: {(a - b)}^{2} [/tex]
I hope that is useful for you :)
An operator at the top of a lighthouse sights a sailboat. The point from which the sighting is made is 25 m above sea level. The angle of depression of the sighting is 10 degrees. How far is the boat from the base of the lighthouse?
Answer:
141.78 m
Step-by-step explanation:
Let d = distance of boat from the base of the lighthouse
Tan 10 = 25/d
d tan 10 = 25
d = 25/tan 10
d = 141.78 m
can you help me solve this?
6 ÷ 2(1+2) = ?
Answer:
9
Step-by-step explanation:
it just is
One penny is 1% of a dollar
$ 0.25 is 25% of a dollars . $1.25 is 12.5% dollars
Answer:
$1.25 is NOT 12.5% dollars. It is 125% of a dollar.
Step-by-step explanation:
We have 1 and 1/4 dollars. 1 and 1/4 as a percentage is 125%
Buenos días personas!!!
Necesito ayuda con esta problema de Matemáticas. ¿Me ayudan por favor?
PROBLEMA: Calcula 5€ de descuento de 16,80€
SOLUCIÓN: no sé
Muchas gracias!!
Respuesta:
11,80 €
Explicación paso a paso:
Dado:
Importe o coste = 16,80 €
El valor de descuento sobre la cantidad = 5 €
El precio o costo con descuento sobre el monto entregado será; la diferencia entre la cantidad dada y el valor de descuento
Importe - valor de descuento
16,80 € - 5 €
= 11,80 €
what is equivilent to 0.5y + 10.5 + 6.5y - 0.5 - 0.5y
Answer:
6.5y + 10
Step-by-step explanation:
0.5y + 10.5 + 6.5y - 0.5 - 0.5y
combine like terms
6.5y + 10
Answer:
m
Step-by-step explanation:
f
Pew research reported in 2013 that 15% of American adults do not use the internet or e-mail. They report a margin of error of 2.3 percentage points. The meaning of that margin of error is: A) If they repeatedly sampled from the population, and constructed a confidence interval for each estimate, about 2.3% of those intervals would capture the proportion of American adults who don't use the internet or e-mail. B) They estimate that 2.3% of those surveyed answered incorrectly. C) There is a 2.3% probability that their estimate is incorrect. D) They are pretty sure that the poll result differs from the actual percentage of American adults who don't use the internet or e-mail by 2.3% or less.
Answer:
B) They estimate that 2.3% of those surveyed answered incorrectly
Step-by-step explanation:
hope it helps you dude
Select the correct answer.
If you divide-16 into 5 equal parts, how much is each part equal to?
A.
-4
B.
-3.2.
C.
+2.4
D.
+5
Reset
Next
Answer:
-3.2
Step-by-step explanation:
answer easy question quick
Answer:
Step-by-step explanation:
a) 9.80- 98/10
b) 7.3- 73/10
a) 7/100- 0.07
b) 82/10- 8.2
Hope this helps
Fraction:
a) 98/100
b) 73/10
Decimal:
a) 0.07
b) 8.2
Solve the inequality below and identify the correct answer: X - 2<-4
Answer:
x < -2 ?
Step-by-step explanation:
If the quadrilateral below is a trapezoid, find: x=
Answer:
x=4
Step-by-step explanation:
Consecutive sides in a trapezoid are supplementry, which means they add up to 180. So, your equation is 14x-15+139=180
14x+124=180 (first make the numbers as clean as you can on both sides)
14x=56 (move all of the numbers to one side, so subtract 124 from both sides)
x=4 (simplify to get your answer, so divide by 14)
(hope this helps :P)
1 The legs of a triangle are 6 cm and 8 cm. The hypotenuse is 14 cm. Is it a right triangle?
Answer:
this is not a right triangle
Step-by-step explanation:
^ = squared
The formula forthe Pythagorean theorem is a^+ b^ = c^
If this is a right triangle this must be true
6^ + 8^ = 14^
36 + 64 = 196
100 is not equal to 196
So this is not a right triangle
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answer:
7.68%
Step-by-step explanation:
The computation of the yield is shown below:
As we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
We simply divide the annual dividend from the price per share so that the yield could be determined
hence, the yield is 7.68%
And, the same would be relevant
What is the expanded form of 1,693,222,527? A. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 220,000 + 20,000 + 2,000 + 500 + 20 + 7 B. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 C. 1,000,000,000 + 600,000,000 + 9,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 D. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 200 + 50 + 7
Answer:
A.
Step-by-step explanation:
Answer:
A. 4,000,000 + 600,000 + 10,000 + 2,000 + 200 + 50 + 8 + 9
Step-by-step explanation:
The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the corresponding series? A. 2,125,760 B. 6,377,288 C. 236,192 D. 708,584
Answer:
2,125,760
Step-by-step explanation:
The first term (a) is 8
The fourth term is 216
Hence the sum of the first 12 term can be calculated as follows
= 8-8(3)^12/1-3
= 8-24^12/-2
= 2,125,760
The sum of first 12 terms is 2,125,760
Sum of the first 12 term = 2,125,760
For geometric sequence,
aₙ = arⁿ⁻¹
where
a = first term
r = common ratio
n = number of terms
Therefore,
a = 8
a₄ = 216
let's find the common ratio
216 = 8 × r⁴⁻¹
216 = 8 × r³
r³ = 216 / 8
r³ = 27
r = [tex]\sqrt[3]{27}[/tex]
r = 3
Let's find sum of the first 12 terms.
Sₙ = a (rⁿ - 1) / r - 1
S₁₂ = 8(3¹² - 1) / 3 - 1
S₁₂ = 8(531440) / 2
S₁₂ = 4251520 / 2
S₁₂ = 2,125,760
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Which of the following equations has a graph that passes through (3, 3) and has a slope of -2?
A. x + 2y = 9
o B. X- 2y = -3
O
C. 2x + y = 9
o
D. -2x + y = -3
Answer:
C
Step-by-step explanation:
y=mx+b
3 = -2(3) + b
3 = -6 + b
9 = b
y = -2x + 9
2x + y = 9
Can you please help me
Answer:
7. 7.1+5.4+2.9=15.7
10.3+5.4=15.7
8. 373.4 - 152.9 = 220.5
373.4 - 153 = 220.4
220.4 - 0.1 = 220.5
9. 18.25 + 7.99 + 4.75 = 30.99
10. 1.05 + 3 + 4.28 + .95 = 9.28
11. 302.504
12 50.5
Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks?
Options:
A. 18, 20, 20, 22, 25
B. 20, 20, 20, 25, 25
C. 16, 19, 21, 22, 22
D. 20, 20, 21, 22, 22
Answer:
A. 18, 20, 20, 22, 25
Step-by-step explanation:
Required
Which list has a mean of 21 and median of 20
Each of the list have 5 numbers and they've all been sorted.
The median is the number at the 3rd position (i.e. the middle number)
So, list C and D are out because they do not have a median of 20.
Next, calculate the mean of lists A and B
[tex]\bar x = \frac{\sum x}{n}[/tex]
A. 18, 20, 20, 22, 25
[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]
[tex]\bar x = \frac{105}{5}[/tex]
[tex]\bar x = 21[/tex]
B. 20, 20, 20, 25, 25
[tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]
[tex]\bar x = \frac{110}{5}[/tex]
[tex]\bar x = 22[/tex]
Only list A has a median value of 20 and a mean value of 21
Consider the function represented in the table.
Which point of the given function corresponds with the
minimum value of its inverse function?
X
-10-20
3 8
0
-2.
5 8
4.5-6
A (-20, 8)
B (-10,3)
C (0, -2)
D (8,-6)
HELPPP
Answer:
The real answer is (-20, 8).
Step-by-step explanation:
I just did the unit test practice or whatever and used the answer above and got it wrong. This is the correct answer.
You are making a fence for your garden. The length is five less than two times
the width
a. Write a polynomial that represents the perimeter of the garden.
b. Write a polynomial that represents the area of the garden
c. Find the perimeter and area of the garden when the width is 8 feet.
Answer:Answer: (a) = P = 2(x + 2x-5) = 2(3x-5) = 6x - 10.
Step-by-step explanation:
Part a : Polynomial represents the perimeter of the garden is 6W-10
Part b : Polynomial represents the area of the garden is [tex]2w^{2}-5w[/tex]
Part c : Perimeter = 38 feet and area = 88 feet square
What is polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
What is perimeter?A perimeter is a closed path that encompasses, surrounds
What is area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
Given,
Length is five less than two times the width
Consider
L is the length and W is the width
Then,
L=2W-5
Part a
Perimeter = 2(L+W)
Substitute the value of L
P=2(L+W)
P=2((2W-5)+W)
P=2(2W-5+W)
P=2(3W-5)
Perimeter= 6W-10
Part b
Area of the garden = L×W
Area = (2W-5)W
Area = [tex]2w^{2}-5w[/tex]
Part c
Given width W = 8 feet
Perimeter = 6W-10
P=6×8-10
Perimeter =38 feet
Area = [tex]2w^{2}-5w[/tex]
Area=[tex]2(8^{2})-5(8)[/tex]
Area = 88 feet square
Hence,
Part a : Polynomial represents the perimeter of the garden is 6W-10
Part b : Polynomial represents the area of the garden is [tex]2w^{2}-5w[/tex]
Part c : Perimeter = 38 feet and area = 88 feet square
Learn more about Polynomial, perimeter and area here
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Factor 21b + 18.
Write your answer as a product with a whole number greater than 1.
plz help
Answer:
3(7b+6)
Step-by-step explanation:
Simply find the greatest common factor between 21b and 18, which is 3. Then that's your simplest factorized expression.
Find the center and radius of the circle: x^2 + y^2 + 4x + 14y +52 = 0
The center of the circle is point: C=(−2,−7).
Find the value of X.
Step-by-step explanation:
All of the angles in a triangle add up to 180. Since we know that the box in the left corner is 90° because it is a right angle then we just need to find x
2x+90=180
subtract 90
2x=90
divide by 2
x=45
Hope that helps :)
Answer:
Step-by-step explanation:
The two xs are contained in the same triangle.
Every triangle has 180 degrees.
2*x + 90 = 180 Subtract 90 from each side
2x +90 - 90 = 180 - 90
2x = 90 Divide by 2
2x/2 = 90/2
x = 45
Find the measurements of DBC
Answer:
72 degrees
Step-by-step explanation:
To determine the value of DBC, we first have to determine the value of q
Angle on a straight line = 180 degrees
7q - 46 + 3q + 6 = 180
10q - 40 = 180
collect like terms
10q = 180 + 40
10q = 220
q = 22
Substitute for q in angle dbc
3(22) + 6 = 72 degrees
The ordered pair (a, b) gives the location of point P on the coordinate plane. The values of a and b have the same sign. Neither a nor b is 0.
It could be in quadrant I or III
Since I is all positive and III is all negative
ok so i thought i knew what i was doing but then i didn't know what i was doin-
Proving a parallelogram side theorem.
Given ABCD is a parallelogram.
Prove: AB≈CD and BC ≈ DA
Answer:
just did it on edg, 2021
Hence, AB≈CD and BC ≈ DA
What is a parallelogram?
A four sided closed figure with all its sides parallel to its opposite side.
Consider two triangles ΔABD and ΔBCD
∠BCD=∠BCA( opposite angles are always equal)
∠ABD=∠BDC (AD||BC)
∠ADB=∠DBC(AD||BC)
ΔABD ≅ ΔBCD
AB≈CD by CPCTC
BC ≈ DA by CPCTC
Hence, proved
Learn more about triangles
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The table below represents a linear function.
Х y
-1 5
1 9
3 13
5 17
Which function has a greater slope and a greater y-intercept than the linear functon represented
in the table?
UWA
A. y = 2x + 8.5
B. y = 3x + 7.5
C. y = 5x + 6.5
y = 10x + 5.5
a building brick weighs 2.7 kilograms. work out the weight of 840 bricks. give the answer in tonnes
Answer:
2.268 tons
Step-by-step explanation:
Multiply 840 to 2.7 to figure out the weight of 840 bricks.
840 x 2.7 = 2268 kilograms
Convert 2268 kilograms into tons which will be 2.268 tons.
How did I convert? Divide 2268 by 1000 because 1 ton = 1000 kilograms.
Please help asap thank you
Answer:
1.
Mean:22
Median: 19.5
Mode:12
Range:26
2.
Mean: 21.143
Median: 16
Mode: 5
Range: 43
3.
Mean: 38.5
Median: 37.5
Mode: 13 , 34, 41
Range: 56
4.
Mean: 73.167
Median: 78.5
Mode: 85
Range : 47
5.
Mean: 58.75
Median: 63
Mode: 63
Range : 70
6.
Mean: 68.714
Median: 74
Mode: 74
Range: 57
7.
Mean: 48
47.5
72
66
8.
59.625
61
90
79
9.
31.571
32
46
34
10.
42.111
40
51
51
what is the maximum number of interior reflex angles that a hexagon can have?
