The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
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The circumference of a circle is 94.2 kilometers. What is the circle's diameter?
Answer:
The diameter would be 29.98 kilometers.
Step-by-step explanation:
We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.
Answer:
30 km
Step-by-step explanation:
We can use the below formula to find the diameter of a circle.
C = π × d
Here,
C ⇒ circumference ⇒ 94.2 km
d ⇒ diameter
To find the diameter make d as the subject in the above formula.
d = C / π
d = 94.2 / 3.14
d = 30 km
HELP MEEE , need the right answer
Answer:
A
Step-by-step explanation:
We do the opposite.
Answer: A. c = nv
Step-by-step explanation: This is simple algebra, despite the complicated variables involved. Just think of it as a normal equation.
First, we multiply both sides by v to get rid of c/v. Thus, nv = c. We can switch sides since c also equals nv. So, the answer of c = nv, or A in the multiple choice.
Find the value of A) 3/5 multiplied by - 2/7, B) - 1/5+-1/3
A. -2/7
B. -8/15
hope it helps...!!!
Prove algebraically that the difference between the squares of any two consecutive
odd numbers is always a multiple of 8
Answer:
See below ↓
Step-by-step explanation:
Let the odd integers be :
2x + 12x + 3Solving
(2x + 3)² - (2x + 1)²4x² + 12x + 9 - 4x² - 4x - 18x + 8 = 8(x + 1)On substituting any value for 'x', the value will be a multiple of x.Examples
8(1) + 8 = 16 = 8 x 28(2) + 8 = 24 = 8 x 38(3) + 8 = 32 = 8 x 4Answer:
Let one odd number be (2n + 1)
Therefore, its consecutive odd number is (2n + 3)
Difference between the two squares of these numbers:
[tex]\begin{aligned}\sf (2n+3)^2-(2n+1)^2 & = \sf (4n^2+12n+9)-(4n^2+4n+1)\\ & = \sf4n^2+12n+9-4n^2-4n-1\\ & = \sf 8n+8\\ & = \sf8(n+1)\end{aligned}[/tex]
Thus proving that the difference between the squares of any two consecutive odd numbers is always a multiple of 8.
the perimeter of an isosceles triangle is 45 inches. 2 sides of the triangle are congruent and the third side is twice as long as the sum of the congruent sides. what is the length of the third side of the triangle in inches
Answer:
did this bring a pic because i might need it to answer the question since its not answerable if theres no more details
Step-by-step explanation:
Three times a number increased by 9
is equal to twice the number decreased
by 4. Find the number
Let the number be "x"
According To Question[tex]3x + 9 = 2x - 4[/tex]
Solving It[tex]3x + 9= 2x - 4 \\ \\ \implies 3x - 2x = - 4 - 9 \\ \\ \implies x = - 13[/tex]
[tex] \therefore \text{the required number is = - 13}[/tex]
Hope this helpsAnswer:
- 35
Step-by-step explanation:
let the number be n then increased by 9 is n + 9 and decreased by 4 is n - 4 , so
3(n + 9) = 2(n - 4) ← distribute parenthesis on both sides
3n + 27 = 2n - 8 ( subtract 2n from both sides )
n + 27 = - 8 ( subtract 27 from both sides )
n = - 35
that is the number is - 35
help it is for calculus
Answer:
I think 2(x^2−y^2)=3x
Answer:
Its 2(x^2-y^2)=3x
Please solve for X and Y
CCan you make it visible to see, please!CCan
what is the approximate diameter of a sphere with a volume of 268cm^3
A. 12cm
B. 8cm
C. 16cm
D. 4cm
Answer:
B it is the right answer
Step-by-step explanation:
Consider the system of equations.
x − 4y = 11,
3x + 5y = −1
Which number should you multiply the first equation by to eliminate the x-variable term?
1
–1
3
–3
Answer:
-3
Step-by-step explanation:
since if you multiply by -3 the sum of both equations will not have an x variable.
Answer:
D
Step-by-step explanation:
A bicycle wheel has a radius of 1.25 ft. How many feet will the bicycle travel after 75 revolutions? If necessary, round your answer to the nearest foot.
The bicycle will travel approximately 588.75 feet after 75 revolutions. Rounded to the nearest foot, the answer is 589 feet.
What is circumference?The distance along a circle's perimeter is referred to as its circumference.
The distance traveled by bicycle in one revolution is equal to the circumference of the wheel.
The circumference of a circle is given by the formula:
C = 2πr
where r is the radius of the circle and π is approximately 3.14.
In this case, the radius of the bicycle wheel is 1.25 ft.
Therefore, the circumference of the wheel is:
C = 2π(1.25) = 2.5π ft
After 75 revolutions, the distance traveled by bicycle is:
distance = 75 revolutions × 2.5π ft/revolution
distance = 187.5π ft
Using a calculator, we can approximate π as 3.14 and calculate:
distance ≈ 588.75 ft
Therefore, distance = 589 ft.
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triangle ABC is similar to triangle DEF. The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3 what is the measure of DF
The ratio of the lengths of the corresponding sides of triangle ABC to triangle DEF is 2:3, and since side AC is the corresponding side of side DF -> Side DF = 3/2 side AC
-> Side DF = 2.5 x 3/2 = 3.75 cm.
Drew has a coin: one side shows heads and the other side shows tails. he also has a six-sided number cube with a number, 1 through 6, on each side. he flips the coin, rolls the number cube, and records his results. what is the probability, written as a fraction, that the coin shows tails and he rolls a 5?
Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:
[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
The probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
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Through: (-4,-2); slope = 0
Answer:
y = -2
Step-by-step explanation:
y - y₁ = m (x - x₁)
y + 2 = 0 (x + 4)
y + 2 = 0
Final simplified equation: y = -2
Hope this helps!
The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)
Please help
Answer:
0.65
.6 x .5 + .7 x .5 = 0.65
Step-by-step explanation:
Identifying Characteristics of Circles from Equations
The equation for a circle is (x + 2)2 + (y – 5)2 = 9.
What is the radius of the circle?
✔ 3
What is the x-coordinate of the circle’s center?
✔ -2
What is the y-coordinate of the circle’s center?
✔ 5
The answers are correct!
Answer:
Step-by-step explanation:
Is 2mi equal to 3,333 yrds?
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?
A) 3/5
B) 3/8
C) 5/3
D) 5/8
Total red = 5
Total blue = 3
Ratio of red to blue = 5/3
answer: c. 5/3
divide and simplify. − 8/ 15 ÷ − 3/ 5
If f(x) = (x³ + 25), find the inverse of f.
Answer:
y = ∛x - 25
Step-by-step explanation:
To find the inverse function, swap x and y , and solve the resulting equation for x.
If the initial function is not one-to-one, than there will be more than one inverse.
So, swap the variables: y = x³ + 25 becomes x = y³ + 25
Now solve the equation, x = y³ + 25 for y.
y = ∛x - 25
1/2 - 1/12 whats the answer
Answer:
To subtract or add fractions, we need to find a common denominator.
1/2 can turn into 6/12
so now we have
6/12 - 1/12 =
5/12
Since we cant simplify it, it stays as 5/12
Answer:
[tex]I~am~beinggreat78~and~i'll~help~you![/tex]
The answer is [tex]\frac{5}{12}[/tex], because of the math shown in this image.
In shortest words, the solution to this problem is [tex]\frac{5}{12}[/tex] because 1/2 - 1/12 is [tex]\frac{5}{12}[/tex], which is the simplified, yet unsimplified form. If the picture is blurry, please click the button in the center of the image to zoom in.
If a polynomial has a remainder of zero when dividing by x + 3, then x = -3 is a solution of that polynomial.
true or false?
Answer:
True
this is true there is also another way of thinking of it
Imagine subtracting 3 from both sides so then it will be X= -3
Solve for the missing angle labeled "?".
9) M
I
115°
S
U
P
47°
R
Q
A) 47°
B)65°
C) 68°
D)133°
Answer:
D) 133 degrees.
Step-by-step explanation:
attached as image.
(Can somebody please help me!) (NO links!)
What do I put!
Answer:
x = 16angle = 48°Step-by-step explanation:
The marked angles have a sum of 90°. This lets you find the unknown angle and the value of x.
42° +3x° = 90°
3x° = 48° . . . . . . . . . subtract 42°. This is the value of the unknown angle
x = 16 . . . . . . divide by 3°
__
The value of x is 16.
The measure of the missing angle is 48.
What is 2/5÷2?
A.) 1/5
B.) 2/5
C.) 4/5
D.) 5
Answer:
A. 1/5
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] times [tex]\frac{1}{2}[/tex]
= [tex]\frac{2}{10}[/tex]
= [tex]\frac{1}{5}[/tex]
hope this helps!
Answer: A.) 1/5
Step-by-step explanation:
When dividing a fraction with a whole number we have to turn that whole number into a fraction as well
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex]
So now we use the dividing fraction formula: [tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a*d}{b*c}[/tex]
So we put the numbers in their places: [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2*1}{5*2}[/tex] = [tex]\frac{2}{10}[/tex]
However [tex]\frac{2}{10}[/tex] simplified is [tex]\frac{1}{5}[/tex]
What are the y-intercept and the horizontal asymptote of g(x) = 2x + 7?
(0, 7) ; y = 2
(0, 9) ; y = 2
(0, 2) ; y = 7
(0, 8) ; y = 7
The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.
A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.
The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).
An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.
Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
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You are shopping at a dvd store and have $49.50 to spend each dvd cost $4.25 estimate how many dvds you buy.
Answer:
You can get 11 dvds
What is 7/8 - 1/4 in simplest form?
Answer: 5/8
Step-by-step explanation:
You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.
Answer:
7/8 - 1/4 = 5/8
Step-by-step explanation:
The equation is 7/8 - 1/4 = ?
So you need to have a common denominator for both fractions in order to subtract the two.
In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.
Now you can subtract the two fractions because they both have a common denominator.
7/8 - 2/8 = 5/8
Wes wants to buy a new truck. There are 3 models to choose from, each has 4 choices of engine, 3 choices of transmission, 8 color choices, 3 interior color choices, and 5 different options packages to choose from. How many different trucks can be built with all of these choices? (Wes can only pick one option package.)
Answer:
1440 different trucks
Step-by-step explanation:
Multiply all of the choices for each part:
3 possible bodies * 4 possible engines * 3 possible transmission types * 8 possible colors * 5 possible options packages
And, you get:
3 * 4 * 3 * 8 * 5
= 1440 different trucks
Answer:
4320 trucks
Step-by-step explanation:
Help me pleaseeeeeeeeeeeeeeee
Answer:
x=1
Step-by-step explanation:
since one y is positive and the other is negative, they cancel eachother out, making 3x=3. 3/3=1