Answer:
185
Step-by-step explanation:
Answer:
Step-by-step explanation:
100 + 70 = 170
7+8= 15
170+15 = 185
170 + 78 +185
A large window is made of a semicircle and a square. The square section is made of 9 square window panes. The builder wants to buy glass for each of the parts of the window.
a. What is the area, in square inches, of the semicircular pane of glass the builder needs? Round the answer to the nearest tenth, if necessary. You can disregard the width of the white window trim in your calculations.
_____in^2
b. What is the area, in square inches, of each of the 9 panes of glass for the square part of the window? Round the answer to the nearest tenth, if necessary.
_____in^2
c. What is the perimeter, in inches, of the entire window? Round the answer to the nearest tenth, if necessary.
_____in.
The 2 ft 3 in. semicircular section of the window and the 4 ft 6 in. by 4 ft 6 in. of the square section gives;
a. The area of the semicircular pane is approximately 1145.1 in.²
b. The square section is 2916
c. The entire window has a perimeter of approximately 354.82 inches
How can the area and the perimeter of the shapes be found?a. The given radius of the semicircular pane, r = 2 ft. 3 in. = 27 in.
The area of a semicircle, A = 0.5•π•r²The area of the semicircular pane is therefore;
A = 0.5 × π × 27² ≈ 1145.1
The area of the semicircular pane is approximately 1145.1 in.²b. The area, A, of the 9 panes of glass, disregarding the window trim is found using the equation for the area of a square, as follows;
A = Side × Side
The area of the 9 panes is therefore;
A = 4 ft. 6 in. × 4 ft. 6 in.
Which gives;
A = 54 in. × 54 in. = 2916 in.²
The area of the square section is 2916 in²c. The perimeter of the entire window, P, is given by the sum of the perimeter of the semicircular pane, P1, and the perimeter of the 9 square window panes, P2, as follows
P1 = 54 + π×27
P2 = 4 × 54
P = P1 + P2Which gives;
P = 54 + π × 27 + 4 × 54 ≈ 354.82
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What steps should be taken to complete the conversion?
8mi/1 × 1.61k/1mi × 1000m/1k
Answer:
c
Step-by-step explanation:
Write an equation in slope-intercept form for the line parallel to the given line
that passes through the given point.
y = - 4x + 5, (0,4)
A. Y= -4x + 4
B. y = -1/4x + 4
C. Y= 1/4x + 4
D. Y= 4x + 4
===========================================================
Explanation:
The given equation y = -4x+5 has a slope of -4. Compare it to y = mx+b and m is the slope.
Parallel lines have equal slopes, but different y intercepts. The answer will have a slope of -4.
The point we want the answer to go through is (x1,y1) = (0,4)
We'll plug the following values
m = -4x1 = 0y1 = 4into the point slope formula below. Solve for y.
y - y1 = m(x - x1)
y - 4 = -4(x - 0)
y - 4 = -4x
y = -4x+4 which is choice A
A student ran a distance of 2 1/2 miles each day for 5 days. Then the student ran a distance of 3 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
- - - - - - - - - - - - - - - - - - - - - - - -
First I'd like to convert the fractions into decimals.
2 1/2 = 2.5
3 1/4 = 3.25
Now, multiply each number by how many days that distance was reached.
2.5 x 5 = 12.5
3.25 x 5 = 16.25
We add our products:
28.75 (28 3/4)
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
(Consider leaving a Brainliest if this helped!)
~pinetreee
Find The Domain Find the Value
1a) The domain is a set of all real numbers not equal to 5
1b) The domain is a set of all real numbers not equal to 4
What is the domain of the function?
Domain of a function is the set of all possible input values that make the function defined.
1a) We are given the function;
C(x) = -3²/(x - 5)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 5
1b) The function is; R(x) = 4x/(3x - 12)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 4
2a) Function is;
f(x) = (x + 8)/(2x - 1)
f(2) = (2 + 8)/(2(2) - 1)
f(2) = 10/3
f(0) = (0 + 8)/(2(0) - 1)
f(0) = -8
f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)
f(-1/2) = -15/4
2b) Function is;
r(t) = (t² + 8)/(t³ - 25t)
r(3) = (3² + 8)/(3³ - 25(3)) = -17/48
r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7
r(-1) = ((-1)² + 8)/((-1)³ - 25(-1)) = 9/24 = 3/8
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from the top of a 160-ft lighthouse, the angle of depression to a ship in the ocean is 26°. how far is the ship from the base of the lighthouse? (round your answer to the nearest foot.)
The distance between both the ship and the lighthouse's base is 328 feet.
What is considered as angle of depression?If a line of sight is slightly down from the horizontal line, it forms an angle with the horizontal line. If the object being observed is below the observer's level, the angle formed between both the horizontal line and also the observer's lines of sight is known as the angle of depression.
Given the circumstances, a right angle triangle is constructed. The lighthouse's height represents the right angle triangle's opposite side.
The adjacent side of a right angle triangle is represented by the horizontal distance, h, between both the ship and thus the base of the lighthouse.
Because they are opposite angles, is if angle of depression to the fire is 26°, the angle of elevation of a lighthouse from the ship is also 26°.
To calculate h, we would use
the trigonometric tangent ratio;
Tan θ = opposite side/adjacent side. Therefore,
Tan 26 = 160/h
h = 160/tan26 = 160/0.4877
h = 328 feet
Therefore, the distance between the ship and the base of the light house is 328 feet.
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The diagram shows a rectangular garden path.
Ziad is going to cover the path
with paving stones.
Each paving stone is a square
of side 40 cm.
Each paving stone costs £4.50
Ziad has £280 to spend on paving stones.
Does Ziad have enough money to buy all the paving stones? Yes/No Yes
You must show your working.
Area of a Rectangle
800 cm
View One Minu
120 cm
He has enough money to buy all the paving stone for the rectangular garden.
How to use area to know if the stone is enough for the rectangular path?The garden path is rectangular.
He wants to cover the path with a paving stone. The paving stone is square in shape and have side of 40 cm.
Therefore,
area of the square stone = l²
where
l = side lengthTherefore,
area of the square stone = 40²
area of the square stone = 1600 cm²
area of the rectangular garden = lw
where
l = lengthw = widthTherefore,
area of the rectangular garden = 800 × 120
area of the rectangular garden = 96000
area of the rectangular garden = 96000 cm²
Therefore,
number of paving stone required = 96000 / 1600
number of paving stone required = 60
Hence,
cost of covering the path = 4.50 × 60 = £ 270
Therefore, he has enough money to buy all the paving stone for the rectangular garden.
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HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!??
The measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.
Sum of angles in circleThe sum of angles in a circle is 360 degrees.
In other words, we can say that, the sum of the measures of the central angles of a circle with no points in common is 360 degrees.
In the given diagram, angle 1, angle 2, angle 3 and angle 4 will sum to 360 degrees.
m∠1 + m∠2 + m∠3 + m∠4 = 360⁰
another interesting to observe is that;
m∠1 = m∠3
m∠2 = m∠4
if m∠1 = 76⁰, then
m∠3 = 76⁰
m∠2 + m∠4 = 360 - (76 + 76)
m∠2 + m∠4 = 208
m∠2 = m∠4 = 208/2 = 104⁰
Thus, the measure of angle 1 is 76⁰, the measure of angle 2 is 104⁰, the measure of angle 3 is 76⁰ and the measure of angle 4 is 104⁰.
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One year, the population of a city was 117,000. Several years later it was 136,890. Find the percent increase.
Answer: 17%
Step-by-step explanation:
136,890-117,000=19,890
19,890/117,000=0.17
0.17*100=17% increase in the city population
HELP PLS
Drag and drop the words into the correct locations.
Answer:
d,c,a,b
Step-by-step explanation:
Evaluate √b-4ac for the given values of a, b, and c, and simplify.
a=2, b=4, and c= 10
The result is ?
Answer:
8i
Step-by-step explanation:
[tex] \sqrt{ {4}^{2} - 4(2)(10)} [/tex]
[tex] \sqrt{16 - 80} [/tex]
[tex] \sqrt{ - 64} = 8i[/tex]
The formula for simple interest is i = prt, where i is the interest earned,p is the principal, r is the interest rate and t is the number of years. solve the formula for p in terms of r, i and y.
The principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).
Whenever a loan is given to a person it is given for some specific amount of time at a specific rate of interest which is to be paid along with the principal amount. Simple Interest is the method of calculating the interest amount on a loan given for a specific period.
It involves the multiplication of the principal amount, rate of interest, and the time for which the loan is given divided by 100.
Here Simple interest is denoted by i, time in years is denoted by t, the principal is denoted by p, and the rate of interest is denoted by r.
The formula of simple Interest is given by:
Simple interest = (Principal×Rate×Time)/100
i=(p×r×t)/100
Now principal can be denoted as:
p=(i×100)/(r×t)
Thus, the Principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).
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with show work needed please! a and b.
Part (a)
r = radius
h = height = 5r
SA = Surface area of a cylinder
SA = 2pi*r^2 + 2pi*r*h
SA = 2pi*r^2 + 2pi*r*5r
SA = 2pi*r^2 + 10pi*r^2
SA = (2pi+10pi)*r^2
SA = 12pi*r^2
Answer: 12pi*r^2====================================================
Part (b)
r = radius
h = height = 5r
V = volume of a cylinder
V = pi*r^2*h
V = pi*r^2*5r
V = 5pi*r^3
Set this equal to the stated volume of 1715pi cubic cm and solve for r.
The pi terms cancel
So,
V = 5pi*r^3
1715pi = 5pi*r^3
1715 = 5r^3
r^3 = 1715/5
r^3 = 343
r = CubeRoot(343)
r = 343^(1/3)
r = 7
Answer: The radius is 7 cmDescribe the approximate shape of a distribution using the terms approximately
symmetric
bell shaped
screwed Left
screwed right
uniform
bimodal
The type of distributions represented by the given graphs in the question are as follows;
(a) Symmetric
(b) Bimodal
(c) Skewed right
(d) Uniform
(e) Skewed right
What are the types of distributions represented the graphs?The definition and descriptions of the given terms are;
Approximately; The term is used to describe the state of things which is close to an actual thing or situation.
Symmetric; A distribution is symmetric when the area of the side on the left and on the right of the mean are equal and balance each other.
The distribution represented by the first figure, (a), can be described as a symmetric distributionBell shaped; A distribution that has a bell shaped graph, which usually represents a normal distribution, can be described as a bell shaped distribution.
The graph in option (a) can be described as a bell shaped distributionSkewed left; The graph of a distribution is skewed left if it has a tail (smaller values) on the left of the graph
Skewed right; The graph of a distribution is skewed right if the tail is on the right of the graph.
The distributions represented by the graphs in (c) and (e) are right skewedUniform; A distribution is uniform if the shape of the graph is approximately rectangular.
The distribution in graph (d) is a uniform distributionBimodal; A distribution that has two peaks is said to be a bimodal distribution.
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Ian invested $2500 in a vehicle that earns 4%interest a year. the amount of money,a is his account as a function of the # of years. t since creating the account is given by the equation a(t)=2500(1.04) evaluate
The value of 't' that is nearest entire year is
18 years
Ian made a vehicle investment of $2500.
that would ensure an annual interest rate of 4%.
the function for this A(t)=2500(1.04).
Find the value of t that makes the equation A(t)=5000 true, to the nearest whole year, using the tables on your calculator.
Give numerical support for your response.
Ian invested $2500
yearly interest 4%
function is A(t)=2500(1.04)
equation A(t)=5000.
[tex]A(t)=2500\times(1.04)^t[/tex]
A ( t ) = 5000
[tex]5000=2500\times(1.04)^t[/tex]
[tex](1.04)^t=5000:2500[/tex]
[tex](1.04)^t=2[/tex]
t = 17.68 ≈ 18
The value of t is 18 years.
Therefore, The value of 't' that is nearest entire year is
18 years
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Make a line graph with this data. Note: It is helpful to make data points for each individual
and then draw a line that best goes through those points.
2)
Individual
Height (cm)
Weight (kg)
A
155
60
150
59
C
168
85
D
190
85
E
182
78
F
177
80
G
165
63
H
187
80
important please answer this only one i need
Answer:
B
Step-by-step explanation:
2a -c = d-r, solve for a
Determine whether the conclusion is based on inductive or deductive reasoning.A person must have a membership to work out at a gym. Jesse is working out at a gym. Jesse has a membership to the gym.
The fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.
What is a deductive reasoning?It should be noted that the deductive reasoning is when one arrives at conclusion based on the information that was given earlier.
Based on the information given, it should be noted that one can only work out at the gym if the person has a membership. An individual without a membership will be unable to work out.
In this case, the fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.
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phone numbers consist of 10 digits. how many phone numbers are possible in wilmington? 10000000 how many phone numbers are possible in wilmington if the number 7 cannot be used? 4782969 how many phone numbers are possible in wilmington if they must be divisible by 2 or 5? how many phone numbers are possible in wilmington if there are no repeated digits?
The phone numbers that are possible in Wilmington are 10000000. The phone numbers possible in Wilmington if the number cannot be used is 4782969. The phone numbers are possible in Wilmington if they must be divisible by 2 or 5 are 6000000. The phone numbers are possible in Wilmington if there are no repeated digits are 5040.
What is a digit?A positional numeral system uses a single symbol, a numerical digit, to represent numbers. The word "digit" refers to the ten decimal (old Latin adjective decem meaning "ten") digits, which are the equivalent of the ten symbols used in the conventional base-10 numeral system. The word "digit" comes from the Latin word "digiti," which means "fingers."
The absolute value of the base determines the required number of different digits for a given numeral system with an integer basis. For instance, the base-10 decimal system requires ten digits (0 through 9), whereas the base-2 binary system just needs two digits (0 and 1).
Explanation:
The number after area code is of 7 digits.
a) [tex]10^{7} =10000000[/tex]
b) [tex]9^{7} =4782969[/tex]
c) X X X X X X X
I I I I I I I
10 10 10 10 10 10 0,2,4,6,8,5,i.e,6digits are possible
=[tex]10^{6} x6=6000000[/tex]
d)7!
=5040
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The weight of a school bus is about 10,000 kg, or 1 x 104 kg.
The weight of a small car is about 1000 kg, or 1 x 103 kg.
The school bus is about how many times heavier than the small car?
O A. 2 times
B. 1.1 times
C. 1 x 10 times
• D. 1 x 10-1 times
Answer: 10 times more heavier.
Convert the percent to a reduced fraction, mixed number, or whole number.
0.2%
Answer:
2/10 or 20
Step-by-step explanation:
the only one i could figure out was the reduced fraction and the whole
-135.4 + 78 1/2 =___
Sabrina is making a box in the shape of a cube with a side length of s. the volume of the box, s cubed, is 27/1,000 ft cubed. sabrina wants to completely cover two of the faces with labels.
Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is ( 9/50 ) sq ft .
Length of the side of cube = s
The given volume of cubical box = ( 27/1000 ) ft cubed equation 1
Volume of Cubical box = [tex](length of cube side)^{3}[/tex]
Volume of Cubical box = [tex]s^{3}[/tex] equation 2
On comparing equation 1 and equation 2 , we get
[tex]s^{3}[/tex] = ( 27 / 1000 )
s = ( 3 / 10 ) = 0.3 ft
Sabrina wants to completely cover two of the faces with labels, So we need to calculate the area of two sides of cubical box.
The area of two sides of cubical box = 2 [tex]s^{2}[/tex]
The area of two sides of cubical box = 2 ( 3/10 )² = ( 9 / 50 ) sq ft
Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is ( 9/50 ) sq ft .
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HELP PLEASE DUE IN A LIL BIT 20 POINTS
I WASNT HERE WHEN THEY WENT OVER THIS LESSON LOL
Answer:
x=-19
Step-by-step explanation:
For solving for x you will have to use inverse operations
-6=(-5+x)/4
-6(4)=-5+x
-6(4)+5=x
-19=x
x=-19
Find the value of n
(3√2)2=2n
Answer:
3√2
Step-by-step explanation:
divide both sides by 2
3√2 = n
Answer:
n = 9
Step-by-step explanation:
note that ([tex]\sqrt{a}[/tex] )² = a , then
(3[tex]\sqrt{2}[/tex] )² = 2n
3 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2n
9 × 2 = 2n
18 = 2n ( divide both sides by 2 )
9 = n
a board measures 212 inches. how many feet is this? [ ? ] ft. give your rounded answer with one decimal place.
The board measures 212 inches which is equal to 17.7 feet.
Measurement:
Measurement is used to identify the quantity of the object.
Each object has its own measurements, like solid objects are measured using grams and the liquid one are measured using liters, etc.
For example,
We can buy the vegetables in grams because they are solid objects.
Instead, we have buy the milk in liters because they are liquid.
Given,
A board measures 212 inches.
Here we need to convert this into feet.
We know that,
1 inch = 0.0833333 feet.
So, 212 inches is equal to,
=> 212 x 0.0833333
=> 17.6667 feet.
Here we have to round the answer with one decimal place.
So, that is,
=> 17.7 feet.
Therefore, the board measurement in feet is 17.7 feet.
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please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
∠ B = 23°
Step-by-step explanation:
vertical angles are congruent , so
∠ B = ∠ A , that is
5x - 17 = x + 15 ( subtract x from both sides )
4x - 17 = 15 ( add 17 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Then
∠ B = 5x - 17 = 5(8) - 17 = 40 - 17 = 23°
Vertically opposite angles are equal
So,[tex]x + 15 = 5x - 17 \\ 15 + 17 = 5x - x \\ 32 = 4x \\ x = 8[/tex]
Therefore;[tex] \sf \: \angle \: a = x + 15 = > 8 + 15 = 23 \degree[/tex]
[tex] \sf \: \angle \: b= 5x - 17 = > 5 \times 8 - 17 = > 40 - 17 = 23 \degree[/tex]
Use the data to make a frequency table.
7. wing spans (cm): 150 126 139 144 125 149 133 140 142 149 150 127 130
8. marathon times (min): 135 211 220 180 175 161 246 201 192 167 235 208
9. top speeds (mi/h): 108 90 96 150 120 115 135 126 165 155 130 125 100
Answer:
Step-by-step explanation:
each side of the base of a right octagonal prism is 7 in. long. the altitude of the prism measures 12 in. find the lateral area.
The lateral area of the right octagonal prism is 672 square inches
How to determine the lateral areaThe formula for lateral area of a right octagonal prism is expressed as;
Lateral area = 8ah
Where;
a is the side length = 7 Inchesh is the height of the prism = 12 InchesSubstitute the values into the formula
Lateral area = 8 × 7 × 12
Multiply through
Lateral area = 672 square inches
Thus, the lateral area of the right octagonal prism is 672 square inches
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