Answer:
31.5 ft
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 23² = 39²
Subtract 23² from both sides
a² = 39² - 23²
a² = 1521 - 529
a² = 992
Take the square root of both sides
a = 31.496031496
Rounded
a = 31.5 ft
The bottom of the ladder from the bottom of the building will be equal to 31.5 ft.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given instructions in the question,
Use the equation of Pythagoras's theorem
a² + b² = c²
Put in the known values in the above equation,
a² + 23² = 39²
a² = 39² - 23²
a² = 1521 - 529
a² = 992
a = √992
a = 31.496 or,
a = 31.5 ft
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((MATHS FORM2 CHAPTER 5 CIRCLE)). HELPPPPPPPPPP I WILL MARK AS BRAINLIEST PLEASE SHOW YOUR WORKING :-)
Kevin wants to build a dartboard. The dartboard consists of two
circles centred at O and three shaded regions as in the diagram.
The diameters BOD and AOC are perpendicular to each other.
Given OE= ED = 10 cm. Calculate the area of the shaded regions
22
in cm². ((Use π= 22/7))
Answer:
Step-by-step explanation:
strategy: Find the area of the entire dartboard, then subtracted the inner circle from that whole. we will have the entire outer circle, so divide that by 2 for half of it. Next divide the inner circle by 4 . Then add that to the outer circle answer from above.
whole circle = [tex]\pi[/tex]*[tex]20^{2}[/tex] = 1257.142857 [tex]cm^{2}[/tex]
inner circle = [tex]\pi[/tex]*[tex]10^{2}[/tex] = 314.2857143 [tex]cm^{2}[/tex]
1257.142857 - 314.2857143 = 942.8571427 outer circle
942.8571427 / 2 = 471.4285 ( half of the outer circle)
now find quarter of the inner circle
314.2857143 / 4 = 78.57142855
add the two parts together
78.57142855 + 471.4285 = 549.9999
The shaded regions = 550 [tex]cm^{2}[/tex]
Olving ytem of linear equation in two variable
1. 4x8y=24 2. 2xy=19 3. 3x2y=15
4x2y=12 x-y=11 x2y=10
The solution of this system of linear equations is x=3, y=-5.
To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:
From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:4((11+y)/2) + 8y = 24
3((11+y)/2) + 2y = 15
Solve for y in the first equation: 8y = 24 - 44 = -20y = -5
Substitute this value of y back into equation 2 to find x:x = (11 + (-5))/2
x = 3
Substitute the values of x and y back into the original equations to check if they are correct:4(3) + 8(-5) = 24
3(3) + 2(-5) = 15
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The question is -
Solving a system of linear equations in two variables,
4x + 8y = 242x - y = 113x + 2y = 15What is the solution
Answer:
d
Step-by-step explanation:
An iron paperweight has the shape of a cube with
side length 5 cm. Iron has a density of 7.874 grams
per cubic centimeter. What is the mass of the
paperweight?
Answer:
It's D
Step-by-step explanation:
984.25 g
please help me with this
Answer:
i can't see the file can u share it to me
factor 8x^2+ 30x - 4x + 15
Answer:
(2x+5)x(4x+3)
Step-by-step explanation:
have a nice day
on a tryangle if side a is 9 and side c is 19 then what is side b?
Answer:
5
Step-by-step explanation:
Need to catch up on school work :/
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year if this rate continues find the population of the city in 24 years , (round to the nearest whole number as needed)
Answer: 813,118 people in the city after 24 years
400,000(1+.03)^24
PLS HELP QUICKKKKK! Tap the photo to see the full problem. Answer all 3 questions please and I'll give brainliest if it is right.
PLS HELP
what would be the equation for this one?
Answer:
x^2 + y^2 = 25
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can see that the center is (0, 0) by looking at the graph, and the radius is 5 because it is marked. Plugging these in we get:
x^2 + y^2 = 25
This is due today pls help!!!!!!!
Answer:
x = 3.5
Step-by-step explanation:
Each value is multiplied by 1.5 so 7 times 1.5 is 10.5
10.5/3 = 3.5
Answer:
1.5
Step-by-step explanation:
To find the value of x that makes triangle DEF similar to XYZ, we have to find the scale. To do this find 2 similar sides. I chose 7.5 from XYZ and 5 from DEF. Divide 7.5 by 5 to get 1.5. 1.5 is our scale so this means we will insert 1.5 for x and get 4.5 as our answer.
Write an inequality for the situation. A number m is less than or equal to negative two.
Is log e and log same?
The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.
The log with a base "e" (log e) is the same thing as In
The natural logarithmic function log e refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;
We can say that:
log e = ln
Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.
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Hello! Hope everyones doing ok. could use your help here:
1. Draw 16 stairs. Put them equally into 2 sets. How many stairs are in each set? ___
2. Round each number to the nearest 10. Then subtract : 497 - 315 is about: ___
3. Abel drew some Triangles. his drawing had 21 Vertices. How many triangles did he draw? write a division equation to answer the question: ___
Answer:
180
Step-by-step explanation:
500 - 320
180
this is answer hope it helps
What is value of tan 90?
Answer:
Step-by-step explanation: infinity or undefined.
The mean and median of the five Numbers are the same 4 6 x y 10
The value of x is 7 and value of y is 8
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given data set is {4, 6, x, y, 10}
The mean and the median are the same value.
The median is the middle value, which is x, and the mean is:
M = (4 + 6 + x + y + 10)/5
Then we have that:
(4 + 6 + x + y + 10)/5 = x
Now let's solve this:
(4 + 6 + x + y + 10) = 5x
20 + x + y = 5x
20 + y = 4x
And x and y are whole numbers. Then we can take x = 7 to get:
20 + y = 4*7
y = 28 - 20 = 8
Then we have x = 7 and y = 8.
Hence, the value of x is 7 and value of y is 8 in the data set 4 6 x y 10
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I need help ASAP. Last Assignment for this class.
The center of a Ferris wheel is 55 feet above the ground. The Ferris wheel completes one revolution every 40 seconds. The distance between the lowest and highest points of the Ferris wheel is 100 feet. A trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving.
(a) What is the period of the function?
(b) What is the amplitude of the function?
(c) What is the midline of the function?
(d) Sketch the first two periods of the graph of the function.
Plot and label the key points of the graph. Label each axis with an appropriate scale.
Answer:
a squared plus b squared equals c squared
Step-by-step explanation the answer either your in for a bumpy ride
4 time 3=12
Answer:
The answer is CStep-by-step explanation:
Taylor wrote down three consecutive integers. He noticed that when he took the difference between the first term and the third term, and multiplied this difference by 4, the result was 1 more than the second term. What are Taylor's three integers
Answer:
737
Step-by-step explanation:
Answer:
Step-by-step explanation:
a.we set the first integers is A, because they are consecutive Integer, so the three Integers are A, A+1, A+2
b.we konw (A+2-A)×4-1=A+1, so A=6
therefore, the three Integer are 6, 7, 8.
danetta's dinner cost 5$ less than exwards dinner. write an equation to represent the comparison of the dinner bills
Answer:
alright, lets say danetta's dinner bill is 20 dollars, and she ordered 4 things, so the equation would be x times 5=20, and edwards would be 25 dollars, so that equation would be x times 5=25
Step-by-step explanation:
PLEASE HELPP!!! picture attached
Which diagram shows an obtuse scalene triangle?
Option D. is an obtuse scalene triangle in the given lists of diagrams.
What is obtuse scalene triangle?In terms of geometry, an obtuse scalene triangle is one in which one of the angles is less than 90 degrees and the other two are less than 180 degrees, with the one angle measuring greater than 90 degrees but less than 180 degrees. Measurement differences exist for each of the three sides and angles.
Both the obtuse triangle and the scalene triangle's characteristics are present in an obtuse scalene triangle. A scalene triangle has all three sides and angles that are of a different size, whereas an obtuse triangle only has one obtuse angle. The following are the characteristics of an obtuse scalene triangle:
Two of its angles are acute, while the other is obtuse.Measurement varies across all sides and angles.Three interior angles added together result in a 180° angle.Learn more about obtuse triangle
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Ashley is training to run a
marathon. On Monday,
she runs 21 miles in 3
hours
COP=??
Answer:
7
Step-by-step explanation:
Answer:
what is a COP huhhh?????
An amusement park has a collection of scale models, with ratio 1:20, of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its replica at this park, rounded to the nearest whole number
The height in feet of its replica at this park, rounded to the nearest whole number is 14 feet.
What connection exists between height and separation?Distance is the measurement of an object's horizontal distance from a specific location, whereas height is the measurement of an object's height in the vertical direction.
Since the heights of real buildings are 1:10 times higher than those of model buildings, this is evident. We also know that the actual height of the US Capitol is 289 feet, so we divide that figure by 20 to determine the model's height. That amounts to 14.45, rounding to 14. Thus, the duplicate is 14 feet, rounded up to the nearest whole number.
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Galeno wants to buy a video game at a store having a 20% off storewide sale. The regular price of the video game is $50. The sales tax on the video game is 5.75%. How much does Galeno pay for the video game?
Answer:
42.30
Step-by-step explanation:
In a school of 600 students, there are seven times as many right-handed pupils as left-handed pupils. How many pupils are right-handed?
Answer:
About 516 students are right handed.
Step-by-step explanation:
Divide 600 by 7 to get 85.7143. Round up to 86. Multiply times 6.
Answer:
I'll setup the problem and leave you to solve it
Step-by-step explanation:
L = number of left-handed students
R = number of right-handed students
you have 2 equations
L + R = 600 (1)
R = 7 x L (2)
solve for L in equation 1
L = 600 - R
substitute L in equation 2
R = 7(600 -R)
multiplying and gathering like terms
8R= 4200
solve for R and you have your answer
Toni invests money into an account which pays a fixed rate compound interest each year.
The total value, £V, of her investment after 't' years is given by the formula=1350 x 1.04t.
How much did Toney invest?
if u get this ur a genius
Answer: Toni invested in pounds= $1350
Step-by-step explanation:rate of compound interest=4%
Step-by-step explanation:
Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:
Given equation is in the form of
where P is the amount invested
'r' is the rate of interest
t is the time taken
P= 1350 is the initial amount invested
1+r= 1.04 (subtract 1 from both sides)
multiply it by 100 to get percentage
r= 4%
I just search it bc my brain dosent work any more
Find the value of y for the given x equal to a value. y=-2x+7 when x=-2
A. y=3
B. y=-3
C. y=11
D. y=-11
PLEASE HELP 10 POINTS
Answer:
the answer would be 1.35
Step-by-step explanation:
plz give step by step explanation
Which is a solution to the equation?
3x + y = 2
a) 4
b) (-1,2)
c) (3-5)
d) (1,-1)
Decompose one number to subtract 726-340
The subtraction of the given number would be = 386
What is subtraction?Subtraction is defined as one of the major arithmetic operations that is used to remove a value from another given values.
The subtraction of the value 340 from 726 would be = 386.
That is; 726 - 340 = 386
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which graph represents -12x-6y_>5
Answer:
l learnt it but I forgotten sorry