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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On a school trip the ratio of the number of teachers to the number of students is
1:15
The ratio of the number of male students to the number of female students is 7:5
Work out what percentage of all the people on the trip are female students.
Give your answer correct to the nearest whole number.
(3 marks)
Answer: 39%
Step-by-step explanation:
Given
The ratio of the number of teachers to the number of students is 1:15.
and the ratio of the number of male and female students is 7:5
Suppose the number of teachers is x. So, students become 15x
For the ratio of male to female, assume male is 7y, so female is 5y
The sum of the male and female students comprises the whole student community
[tex]\therefore 15x=7y+5y\\15x=12y\\5x=4y[/tex]
The percentage of female students on the trip is
[tex]\Rightarrow \dfrac{5y}{x+15x}\times 100\\\\\Rightarrow \dfrac{5y}{16x}\times 100\\\\\Rightarrow \dfrac{5\times \frac{5}{4}x}{16x}\times 100\\\\\Rightarrow \dfrac{625}{16}=39\%[/tex]
Solve the equation for x, explain how you found the solution. pls help me
2x + ½= 8
NO SCAM LINKS OR REPORT The length of a dollar bill is 6.14 inches. Which shows a way to represent the value of the 4 in this number?
answer choices=
A. 0.4 C. (4 x 100)
B. ( 4 x 1/10 ) D. ( 4 x 1/100) NO SCAM LINKS OR REPORT
Answer:
D.
Step-by-step explanation:
The 4 is in the hundredths place, so it represents 4 hundredths, or 4 x 1/100.
have to find x, y, and z,, someone help pls !!
In the equation y = 2x + 3, if the change in x is 1, the corresponding change in y will be _____.
Answer:
search it
Step-by-step explanation:
help me out yall!!!! I need answers ASAP
Answer:
199
Step-by-step explanation:
Ok, lets do the math, 41,790 is going to be the number we divide by, and than we use 210 to divide it with, meaning the final answer is 199.
What is the length of the leg (b) of the triangle?
Answer:
20
Step-by-step explanation:
c² = a² + b²
25² = 15² + b²
625 = 225 + b²
b² = 625 - 225
= √400
= 20
Which segment(s) are perpendicular to overline AB ? B A. Segment CE only B. Segment CD and segment CE C. Segments CD , CE , and CF
Answer:
A letter A
Step-by-step explanation:
Segment CE only
mypoints!
The perpendicular line AB is segment CE only. The correct option is A.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. If two lines cross at a right angle, they are said to be perpendicular to one another.
The line CE is making an angle of 90 degrees with the line AB, then the line CE will be perpendicular to the line AB.
Therefore, the perpendicular line AB is segment CE only. The correct option is A.
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Which of the following r-values represents the strongest correlation?
A. 0.55
B. 0.65
C. 0.35
D. 0.45
Answer:
0.65
Step-by-step explanation:
The r-value option (B) 0.65 represents the strongest correlation.
What is the correlation coefficient?The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
We need to determine the r-value that represents the strongest correlation.
The relationship between two variables is generally considered strong when their r value is larger than 0.7.
Among the options, 0.65 is near to 0.7, so it has strongest correlation.
Hence we can conclude that the r-value option (B) 0.65 represents the strongest correlation.
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10.
Find the area of the shaded
a)
b)
14 cm
14 cm
d)
e)
Answer:
14 cm
Step-by-step explanation:
what is the sum of all the even numbers between 30 and 36?
Answer:
30 + 32 + 34 + 36 = 132
Hope this helps!!
A small airplane used 4 5/16 gallons of fuel to fly a 1.25-hour trip. How many GALLONS were used EACH HOUR?
Answer:
13.8 gallons per hour
Step-by-step explanation:
"Gallons per hour" means to divide gallons by hours. Even the label can be a reminder of what to do: [tex]\frac{\text{gal}}{\text{hr}}[/tex] .
Now for the math...
[tex]4\frac{5}{16} \div 1.25 =4\frac{5}{16} \div 1\frac{1}{4}[/tex]
Changing both numbers to mixed number form helps. (You could also change both numbers to decimals--a calculator would help!)
Change mixed numbers to improper fractions, then divide.
[tex]\frac{69}{4} \div \frac{5}{4}=\\\\\frac{69}{4} \times \frac{4}{5}=\\\\\\\frac{69}{5}=13.8[/tex]
please help! it is so confusing
Answer:
4 maybe I don't understand what or how to do this but W is similar to M. I don't really know.
Step-by-step explanation:
Find my number, if the product of my number and 3 is 15 more than the sum of my number and 3
Answer:
9
Step-by-step explanation:
let the number be X
x multiplied by 3 will be equal to 15 + X + 3
3x = 18+X
2x = 18
x = 9
Answer:
9
Step-by-step explanation:
Find the measure of the missing angles.
Answer:
d=52 e=77 f=51
Step-by-step explanation:
The opposite side of 52 is 52 because they are intersecting 1dk, same thing with 77, and when you have both of those just add all the angles and subtract it from 360
Answer:
d = 52
e = 77
f = 51
Hope this helps!
What are the medians and modes??
Answer:
The median is 17 and the mode is 19
Step-by-step explanation:
Factor: 0.25x^2 - 0.16y^4
0.25x^2 - 0.16y^4
Both terms are perfect squares so use the difference of squares formula
A^2 - b^2 = (a+b)(a-b) where a = 5x and b = 4y^2
Answer is 0.01(5x + 4y^2)(5x-4y^2)
Answer:
Solution given:
0.25x^2 - 0.16y^4
[0.5x]²-[0.4y²]²
[Note: Using formula: x²-y²=(x+y)(x-y)]
(0.5x+0.4y²)(0.5x-0.4y²) is a required answer.
Graph the opposite of the ppposite of 2 on the number line. Click on the number line to
Identify the nynber localjon.
-3
-2
-1
0
1
2
3
4
PLEASE HELP
The curved surface area of a cylinder is one third of its total surface area and the height is 5
cm. Find the diameter.
Answer:
Diameter of cylinder = 12 cm
Step-by-step explanation:
Given:
Height of cylinder = 5 cm
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
Find:
Diameter of cylinder
Computation:
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
πr²h = 3[2πrh]
πr²h = 6πrh
Radius of cylinder = 6 cm
Diameter of cylinder = 2 x Radius of cylinder
Diameter of cylinder = 2 x 6
Diameter of cylinder = 12 cm
this is an integration question.
Answer:[tex](1,1),\ \dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
Equation of the curves are [tex]y=x^2,\ y^2=x[/tex]
The intersection of the curve is
[tex]\Rightarrow y^4-y=1\\\\\Rightarrow y(y^3-1)=0\\\\\Rightarrow y=0,1\\[/tex]
So, x coordinates are [tex]x=0,1[/tex]
points of intersection are[tex](0,0),(1,1)[/tex]
So, the area bounded between the curves
[tex]\Rightarrow I=\int_{0}^{1}\left ( \sqrt{x}-x^2\right )dx\\\\\Rightarrow I=\int_{0}^{1}\sqrt{x}dx-\int_{0}^{1}x^2dx\\\\\Rightarrow I=\left ( \frac{2}{3}x^{\frac{3}{2}} \right )_0^1-\left ( \frac{1}{3}x^3 \right )_0^1\\\\\Rightarrow I=\frac{2}{3}\left ( 1-0 \right )-\frac{1}{3}\left ( 1^3-0 \right )\\\\\Rightarrow I=\frac{2}{3}-\frac{1}{3}\\\\\Rightarrow I=\frac{1}{3}[/tex]
The area bounded by them is [tex]\frac{1}{3}[/tex]
Pythagorean Theorem & irrational Numbers Question
Which of the following could not be the lengths of sides of a
right triangle?
Select one:
8, 10, 12
6, 8, 10
9, 12, 15
8, 15, 17
Answer:
2nd
Step-by-step explanation:
....................
Answer:
=98m^2
Step-by-step explanation:
11×4=44
9×6=54
44+54=98
=98m^2
What is the sum of the measures of the exterior angles of the polygon shown below if necessary round to the nearest 10th
Answer:
24
Step-by-step explanation:
Number of sides = 15 (counted and it was a pain the a*s)
The total measure of the exterior angle = 360
= 360/15
= 24 degree
Each angle is measured 24 degree
The sum of the exterior angles of the polygon shown in the image is: 360°.
What is the Sum of Exterior Angles of a Polygon?Regardless of the number of sides or angles a polygon has, the sum of exterior angles of any polygon is always 360 degrees.
Thus, the polygon given has 15 sides, however, the sum of all its exterior angles will still give 360 degrees.
Therefore, the sum of the exterior angles of the polygon shown in the image is: 360°.
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Please read photo! Thanks for anyone that helps.
Answer:
1= 66
2= 66
3 = 114
Step-by-step explanation:
Factor the expression: 24w + 48
Answer:
24(w+2)
Step-by-step explanation:
You must look for a common denominator between the two parts of the expression. In this case, 48 is divisible by 24. 48/24 = 2. So you can now move the common denominator out to the front. Then use this common denominator and divide each term by it. 24w/24 = w and 48/24 = 2. Therefore, your expression factored is 24 (w+2)
will GIVE BRAINLIEST!
Answer:
22 ft
Step-by-step explanation:
The circumference of a circle with given diameter d is C = (3.14)d.
Here, C = (3.14)(7 ft) = 21.98 ft, or approximately 22 ft
Answer:
22ftStep-by-step explanation:
Here,
It gives the diameter of a [tex]\huge{\bigcirc}[/tex]d=7feet,
Here,
[tex]\pi = 3.14[/tex]
Then the circumference of that circle is
[tex]\bold{ \pi×d }[/tex] 3.14×721.98ft[tex]\bold{\approx{22} }[/tex]ftHence
The circumference of that circle is 23ft
Use the algebra tiles to model x – 2.
Then choose the answer that describes the correct tiles.
one blue x tile and two orange + tiles
one orange x tile and two blue – tiles
one blue x tile and two blue – tiles
one orange x tile and two orange + tiles
Sorry for being late but the answer is B
Answer:
B
Step-by-step explanation: e d g 20 22
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6?
Answer:
1/2
Step-by-step explanation:
simlified would be 1/2
ILL BRAINLIEST YOU PLEASE HELP ME HOW DO I DRAW MY TRIANGLE
Step-by-step explanation:
I attached The photo of answer
-TheUnknownScientist
The approximate circumference of a circle that has a center at (8,6) and passes
through the point (8, 12) is:
units.
:: 12
:: 36
38
:: 113
Answer:
????
Step-by-step explanation: