Answer:
Step-by-step explanation:
13). Area of a square = (Side)²
= (BC)²
Since, diagonals of a square bisect each other at 90°,
ΔBOC is a right triangle.
By applying Pythagoras theorem in the given triangle,
BC² = OB² + OC²
BC² = 2(OB)²
BC² = 2(7√2)²
BC = [tex]\sqrt{196}[/tex]
Area of square ABCD = (BC)²
= (√196)²
= 196 units²
14). Measure of interior angles of the regular hexagon = 120°
Area of the regular hexagon = [tex]\frac{3\sqrt{3}}{2}(\text{side})^2[/tex]
From the given picture,
m∠BAC = m∠ABC = m∠ACB = 60°
Therefore, ΔABC is an isosceles triangle.
And all sides of this triangle will be equal in measure.
AB = AC = BC = 9 units
Area of the given regular hexagon = [tex]\frac{3\sqrt{3}}{2}(9)^2[/tex]
= 210.44 square units
≈ 210.4 square units
George invested $18,500 five years ago and unfortunately the investment has been losing 6% of its value each year. What is the current value of his investment? Round to the nearest cent.
Answer:
$13,577.22
Step-by-step explanation:
Multiply 18,500 by 0.94 for each year
Please i need help ASAP
What is the range?
Answer:
your range is -9 to positive 5
Step-by-step explanation:
range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3
what is the equivalent ratio for 3:4
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
Find the area of the smaller sector.
brainlest
Answer:
44.68 m²
Step-by-step explanation:
Area of a sector = θ/360*πr²
Where,
θ = 80°
r = 8 m
Plug in the values into the equation
Area of the sector = 80/360*π*8²
= 44.6804288 ≈ 44.68 m² (nearest hundredth)
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
A.Supplementary
B.None
C.Complementary
D.Vertical
Answer:
A. the answer is supplementary
100-121k^2=0 What are solutions to this equation?
Answer:
k = ±[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
121k² - 100 = 0
(11k + 10)(11k - 10) = 0
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 51. Find x.
Answer:
x = 11
Step-by-step explanation:
x + 2(2x-2) = 51
x + 4x - 4 = 51
5x - 4 = 51
5x = 55
x = 11
Answer:
x = 11
Step-by-step explanation:
2x - 2 + 2x - 2 + x = 51
5x - 4 = 51
5x = 55
x = 11
Dana buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing store at a 35% markup.
a. Write the mark up as a decimal.
b. Write two expressions for the retail price of the dress shirt.
c. What is the retail price of a dress shirt that Dana purchased for $32.00?
d. How much was added to the original price of the dress shirt?
Which expression is equivalent to2(t-4)+1
Answer:
2t-7
Step-by-step explanation:
2(t-4)+1
2t -8+1
2t - 7
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write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answer:
A.less than 6 but more than 20
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
square root of 729 using repeated subtraction method. I need detailed steps
Answer:
√729=√27*27=√27^2=27
If anyone could please help I would appreciate it!
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!
Answer:
B
Step-by-step explanation:
B is correct...
27 is 72% of what number?
Answer:
37.5
Step-by-step explanation:
37.5 · 0.72 = 27
Answer:
37.5
Step-by-step explanation:
72%=0.72
0.72x=27
x=27/0.72
x=37.5
Estimate the values to complete the table.
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answer:
pretty sure its 18
Step-by-step explanation:
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7
Answer:
7/3
Step-by-step explanation:
Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3
Hope I helped!
Brainliest? :o
Keywords: donuts, donut, brother, equation, receive
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Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36
Answer:
D
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
A number is less than one-fourth the sum of eight times the number and four.
Answer:
Assume the number is X. What is given can be written as the following:
X < (1/4)*(8X+4)
Multiply 4 on both sides
4X< 8X+4
Subtract 4X+4 from both sides
-4 < 4X
-1<X i.e., X>-1 the number is greater than -1.
Thank you to anyone who answers .
Answer:
last one
Step-by-step explanation:
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answer:
The mean is 30