Please help IDK how to do this!
A painter leans a 12 ft ladder against a building. The base of the ladder is 5 ft from the building. To the nearest foot, how high on the building does the ladder reach?
Answers
For this problem you must do Pythagorean theorem:
[tex]a^{2} + b^{2} =c^{2}[/tex]
In this example 10ft is c and 7ft is a (or it could be b, and you'll be solving for a instead of b. It's the same thing, since a and b are both legs)
Plug what you know into the equation:
[tex]7^{2} +b^{2} = 10^{2}[/tex]
49 +b^{2} = 100
Bring 49 to the right side by subtracting it:
b^{2} = 51
Now you still must isolate b. The opposite of squaring is taking the square root so take the square root of both sides to cancel it from the left side:
[tex]b =\sqrt{51}[/tex]
b = 7.1414
b ≈ 7 ft
Hope this helped!
Related Questions
Lucas put 4 quarters and 3 nickels into coin bank. How much money did Lucas put into his coin bank?
Answers
Lucas put 1.30 in his coin bank.
Which equation represents the circle described? The radius is 2 units. The center is the same as the center of a circle whose equation is x2 + y2 – 8x – 6y + 24 = 0.
Answers
Answer:
[tex](x-4)^2+(y-3)^2=2^2[/tex]
Step-by-step explanation:
The given circle has equation; [tex]x^2+y^2-8x-6y+24=0[/tex]
Comparing to the general equation of the circle: [tex]x^2+y^2+2ax+2by+c=0[/tex]
We have [tex]2a=-8\implies a=-4[/tex] and [tex]2b=-6\implies b=-3[/tex]
The center of this circle is (-a,-b)=(4,3).
The required circle has radius r=2 units.
The equation of a circle, given the center (h,k) and radius r, is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We substitute the values to obtain [tex](x-4)^2+(y-3)^2=2^2[/tex]
Answer:
the answer is C
Step-by-step explanation:
Need Help With This One Please!!!!
Answers
For this case we have that by definition, the area of a triangle is given by:
[tex]A = \frac {1} {2} b * h[/tex]
Where:
b: It's the base
h: It's the height
Substituting the values, according to the given data:
[tex]225 = \frac {1} {2} (15) * h\\225 = 7.5h[/tex]
Dividing between 7.5 on both sides of the equation:
[tex]h = \frac {225} {7.5}\\h = 30[/tex]
Thus, the height of the triangle is 30ft
Answer:
30ft
Answer: 30 feet.
Step-by-step explanation:
The formula used to calculate the area of a triangle is:
[tex]A=\frac{bh}{2}[/tex]
Where "b" is the base and "h" is the height.
In this case you know that the area of this triangle is 225 ft² and its base is 15 ft. Then, you can substitute these values into the formula [tex]A=\frac{bh}{2}[/tex] and solve for the height "h":
[tex]225ft^2=\frac{(15ft)h}{2}[/tex]
[tex](2)(225ft^2)=(15ft)h[/tex]
[tex]h=\frac{(2)(225ft^2)}{15ft}[/tex]
[tex]h=30ft[/tex]
What is the solution 7^x=49
Answers
Answer:
x=2
Step-by-step explanation:
Divide 49 by 7, and you get 7 which is a perfect square
Let's test it out!
7^x=49
7^(2)=49
49=49
It works out!
Find the quotient of 1 1/4 and 3 1/2 . Express your answer in simplest form.
Answers
Answer:
8/35
Step-by-step explanation:
1 1/4 = 5/4
3 1/2 = 7/2
5/4 × 7/2
Find the reciprocal. (flip numerator and denomimator)
4/5 × 2/7 = 8/35
Answer:
8/35 This is your answer in simplest form.
Write a polynomial function in standard form with zeros at 1,2 and 3. HELP PLEASE!!!
A. f(x)=(x+1)(x+2)(x+3)
B. f(x)=x^3-6x^2+11x-6
C. f(x)=(x-1)(x-2)(x-3)
D. f(x)=x^3+6^2+11x+6
Answers
Answer:
option B) f(x)=x^3-6x^2+11x-6
Step-by-step explanation:
Zeros means the point at which a given function becomes zero for the value of input.
In given case, zeros of f(x) is required at points 1,2 and 3.
Graphically the point on x-axis where the function line intersects the x-axis is the zero of the function i.e. the function value is 0,
hence
f(x)=0 when x=1
x-1=0
f(x)=(x-1)
f(x)=0 when x=2
x-2=0
f(x)=(x-2)
f(x)=0 when x=3
x-3=0
f(x)=(x-3)
Thus f(x)=(x-1)(x-2)(x-3)
Writing the above polynomial in standard form:
f(x)=x^3-6x^2+11x-6 !
Find the domain and range of the function below.
y = 3x2 - 6x + 5
a.
D: all real numbers
R : (22)
D: all real numbers
R: ( 32)
C. D: (
x2)
R: all real numbers
D: all real numbers
R: all real numbers
Answers
ANSWER
Domain: All real numbers
Range:
[tex][2, \infty )[/tex]
EXPLANATION
The given function is
[tex]y = 3 {x}^{2} - 6x + 5[/tex]
To find the domain and range of the given function, we complete the square.
[tex]y = 3 ({x}^{2} - 2x )+ 5[/tex]
[tex]y = 3 ({x}^{2} - 2x + 1) + 3( - 1)+ 5[/tex]
[tex]y = 3 ({x - 1)}^{2} - 3+ 5[/tex]
[tex]y = 3 ({x - 1)}^{2} + 2[/tex]
The vertex is at (1,2).
The given function is a polynomial and all polynomial functions are defined everywhere.
The domain is all real numbers.
The parabola opens upwards and have vertex at (1,2). Hence the minimum y-value is 2.
The range is
[tex][2, \infty )[/tex]
Answer:
A.
Step-by-step explanation:
find the mean, median, mode, and range of this data: 4,5,2,3,2,3,3,3,1,1,3
Answers
Answer:
The Mode is 3 and Median is also 3
Step-by-step explanation:
Answer:
Mean: 2.7
Mode: 3
Median: 3
Range: 4
Step-by-step explanation:
1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 5
Mean: 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 4 + 5 = 30/11 = 2.7
Mode: 3
Median: 3
Range: 5 - 1 = 4
Write the formula for absolute value function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
Answers
The formula for the absolute value function that has its vertex at point (0,6) and passes through the point (-1,-2) is y = -1/8|x| + 6.
Explanation:To find the formula of an absolute value function, we need to use the formula |x - h| = a(y - k), where (h, k) is the vertex of the graph. In this case, the vertex is at point (0,6), so h = 0 and k = 6. The other point given is (-1,-2). We can substitute these values into the formula to find the value of 'a'. So, |-1 - 0| = a(-2 - 6) which simplifies to 1 = -8a. Solving this equation gives us a = -1/8. So, the formula for the absolute value function in this case is y = -1/8|x - 0| + 6 or just y = -1/8|x| + 6.
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The formula for the absolute value function with a vertex at (0,6) and passing through the point (-1,-2) is y = -8|x| + 6.
Explanation:The formula for the absolute value function with a vertex at (0,6) and passing through the point (-1,-2) can be determined by considering how the graph of an absolute value function is shifted and stretched. In general, the formula for an absolute value function with a vertex at (h,k) can be written as y = a|x-h| + k. Using the given information, we can substitute the values h=0 and k=6 into the formula, and use the point (-1,-2) to solve for the value of a:
-2 = a|(-1)-0| + 6
-2 = a|-1| + 6
-2 = a + 6
a = -8
Therefore, the formula for the absolute value function is y = -8|x-0| + 6, which simplifies to y = -8|x| + 6.
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PLEASE HELP ASAP; NEED CORRECT ANSWER! (10 POINTS) solve for x. use the completing square method. x^2+10x=6
Answer choices:
a) x=-5+ or- the square root of 6
b) x=-10+ or - the square root of 6
c) x=-10+ or -square root of 31
d) x=-5+ or - the square root of 31
- <---- minus sign; sorry for any confusions!
Answers
Answer:
[tex]\large\boxed{d)\ x=-5\pm\sqrt{31}}[/tex]
Step-by-step explanation:
[tex]x^2+10x=6\\\\x^2+2(x)(5)=6\qquad\text{add}\ 5^2\ \text{to both sides}\\\\x^2+2(x)(5)+5^2=6+5^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+5)^2=6+25\\\\(x+5)^2=31\iff x+5=\pm\sqrt{31}\qquad\text{subtract 5 from both sides}\\\\x=-5\pm\sqrt{31}[/tex]
An exercise ball has a radius of 33 cm. In terms of , what is the volume of the exercise ball?
11,979 cm3
35,937 cm3
47,916 cm3
143,748 cm3
Answers
Answer: [tex]47,916\pi \ cm3[/tex]
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where "r" is the radius.
You know that the radius of the exercise ball is 33 centimeters, then, you must substitute the valueof this radius into the formula [tex]V=\frac{4}{3}\pi r^3[/tex].
Therefore, the volume of the exercise ball is:
[tex]V=\frac{4}{3}\pi (33cm)^3[/tex]
[tex]V=47,916\pi \ cm3[/tex]
Which pair of monomials has the least common multiple (LCM) of 54x2y3?
A) 2xy, 27xy2
B) 3x2y3, 18x2y3
C) 6x2, 9y3
D) 18x2y, 27xy3
Answers
ANSWER
The correct answer is D.
EXPLANATION
If we express the monomial,
[tex]18 {x}^{2} y[/tex]
as product of primes, we obtain:
[tex]2 \times {3}^{2} \times {x}^{2}y [/tex]
If we express the monomial
[tex]27x {y}^{3} [/tex]
as product of primes we obtain:
[tex] = {3}^{3} \times x {y}^{3} [/tex]
The least common multiple of these two binomials is the product of the highest powers of the common factors.
The LCM is
[tex] = 2 \times {3}^{3} \times {x}^{2} {y}^{3} [/tex]
[tex] =54 {x}^{2} {y}^{3} [/tex]
Therefore the correct answer is D.
Answer:
The correct answer is option D.
18x2y, 27xy3
Step-by-step explanation:
To find the LCM
A).To find the Lcm of (2xy, 27xy2)
LCM((2xy, 27xy2) = 54xy^2
B).To find the Lcm of (3x2y3, 18x2y3)
LCM(3x2y3, 18x2y3) = 18x^2y^4
C). To find the Lcm of (6x2, 9y3)
LCM(6x2, 9y3) = 18y^2y^
D). To find the Lcm of (18x2y, 27xy3)
LCM(18x2y, 27xy3) = 54x^2y^3
Therefore the correct answer is option D
18x2y, 27xy3
Tell whether each triangle with the given sides is a right triangle.
60 m, 80 m, 100 m
18 in, 24 in, 30 in
12 in, 15 in, 18 in
25 ft, 60 ft, 65 ft
9, 12, 18
24, 32, 40
15, 36, 39
30, 72, 90
Answers
9,12,18 is a right triangle and so is 30,72,90
Identify the like terms in the following expression 12y+9x+7x
Answers
the like terms are 9x and 7x, if you are told to simplify, you write, "12y+16x"
12y + 9x + 7x
The like terms are 9x and 7x. This is because they both have the x variables attached to the number. This means that you can add only 9x and 7x (not 12y because it isn't a like term) together like normal numbers (except with an x at the end so you would get: 12y + 16x
Hope this helped!
The trinomial x2 – 3x – 4 is represented by the model.
What are the factors of the trinomial?
Answers
Answer:
(x - 4)(x + 1)
Step-by-step explanation:
Given
x² - 3x - 4
To factor the trinomial
Consider the factors of the constant term (- 4) which sum to give the coefficient of the x- term (- 3)
The factors are - 4 and + 1, since
- 4 × 1 = - 4 and - 4 + 1 = - 3, hence
x² - 3x - 4 = (x - 4)(x + 1)
To which set of numbers does −1.2 belong?
Answers
Answer:
a negative set of numbers? or integers
Step-by-step explanation:
integers are all the numbers in the world so that includes a negative number
Can you evaluate (g•f)(0)?
Answers
Answer:
Any number times zero is zero.
Step-by-step explanation:
Simplify the following:
0 g f
Hint: | Any number times zero is zero.
0 g f = 0:
Answer: 0
Find the function !!! 10 points - Help needed!
Answers
The answer is:
The first option,
[tex]f^{-1}(x)=\frac{x-2}{4}[/tex]
Why?To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".
We are given the function:
[tex]f(x)=4x+2[/tex]
Write "f(x)" is equal to write "y", so:
[tex]y=4x+2[/tex]
Now, finding the inverse, we have:
[tex]y=4x+2\\x=4y+2\\x-2=4y\\y=\frac{x-2}{4}[/tex]
Hence, we have that the answer is the first option,
[tex]f^{-1}(x)=\frac{x-2}{4}[/tex]
Have a nice day!
ANSWER
[tex]{f}^{ - 1} (x) = \frac{x - 2}{4} [/tex]
EXPLANATION
The given function is
f(x)=4x+2
To find the inverse, we let
y=4x+2
Then, interchange x and y.
x=4y+2
Solve for y,
x-2=4y.
Divide both sides by 4
[tex]y = \frac{x - 2}{4} [/tex]
Hence, the inverse is:
[tex] {f}^{ - 1} (x) = \frac{x - 2}{4} [/tex]
Find the value of x. Round to the nearest tenth. Please Help Me!!!
Answers
Answer:
x ≈ 4.1 cm
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector
The third side of the triangle = 14.6 ÷ 2 = 7.8
We now have a right triangle with legs x and 7.8 with hypotenuse 8.8
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 7.8² = 8.8²
x² + 60.84 = 77.44 ( subtract 60.84 from both sides )
x² = 16.6 ( take the square root of both sides )
x = [tex]\sqrt{16.6}[/tex] ≈ 4.1 ( nearest tenth )
Answer:
4.1
Step-by-step explanation:
⇒The missing side of the triangle is 7.8 cm
We use Pythagoras theorem to solve x
a² = b² + c²
In this case, a = 7.8 cm and c = 8.8 cm
→ 7.8² = x² + 8.8²
( Rearrange )
→ x² = 8.8² - 7.8²
( Simplify )
→ x² = 77.44 - 60.84
( Simplify )
→ x² = 16.6
( Square root )
→ x = 4.074309757
x^3+3x^2-28x=0 where will the graph cross the x axis
Answers
Answer:
x = - 7, x = 0 and x = 4
Step-by-step explanation:
Factor the polynomial and solve for x
Given
x³ + 3x² - 28x = 0 ← factor out x from each term
x(x² + 3x - 28) = 0 ← factor the quadratic
x(x + 7)(x - 4) = 0
Equate each factor to zero and solve for x
x = 0
x + 7 = 0 ⇒ x = - 7
x - 4 = 0 ⇒ x = 4
These are the 3 points where the graph crosses the x- axis
_________ are an indication that your vehicle may be developing a cooling system problem. A. Abrupt changes or trends in engine temperature B. Foggy windows C. Squeaking brakes D. Low temperatures in the cabin
Answers
Answer:
The answer is A
Step-by-step explanation:
Answer:
A. Abrupt changes or trends in engine temperature
Step-by-step explanation:
Abrupt changes or trends in engine temperature are an indication that your vehicle may be developing a cooling system problem.
Cooling system problem occurs in engines of vehicles when the vehicle is running low on coolant. This results in an increase in temperature of the engine. If such conditions go un noticed for a long time, fatal accidents can take place.
A bookstore had 60 copies of a magazine. Yesterday, it sold 2/3 of them. Today, it sold 4/5 of what remained. How many copies does the bookstore have left?.
Answers
Answer:
4 copies
Step-by-step explanation:
After yesterday's sales, 1/3 of the original supply remained. After today's sales, 1/5 of that value remain. So the remaining number is ...
60·(1/3)(1/5) = 60/15 = 4
The bookstore has 4 copies of the magazine left after selling 2/3 of them on the first day and 4/5 of the remaining on the second day.
Explanation:The bookstore originally has 60 copies of a magazine. On the first day, it sold 2/3 of them, which equals to 60*(2/3) = 40 copies. So, there are 60 - 40 = 20 copies left. On the second day, it sold 4/5 of what remained, that is, 20*(4/5) = 16 copies. After this, the remaining copies are 20 - 16 = 4 copies.
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THIS IS THE THRID TIMEE PLZZZ A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.What is the relative frequency of selecting a heart? 15% 25% 27% 35% outcome 8 12 14 6
Answers
Answer:
The answer to your question is C (27%)
Step-by-step explanation:
I looked up the answer for you but this was proven to be correct.
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to the nearest whole cent?
Answers
Answer:
A = $7,350.00
Step-by-step explanation:
Equation:
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 9%/100 = 0.09 per year.
Putting time into years for simplicity,
30 months / 12 months/year = 2.5 years.
Solving our equation:
A = 6000(1 + (0.09 × 2.5)) = 7350
A = $7,350.00
The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.
* Therefor, the answer is $7,350.00.
* Hopefully this helps:) Mark me the brainliest:)!!!
To find Dominick's monthly installment payments for a $6,000 loan at 9% simple interest over 30 months, you first calculate the total interest ($1,350), add it to the principal to get the total amount owed ($7,350), and then divide by the number of months (30) to find the monthly payment, which is approximately $245.
Explanation:Calculating Monthly Installment Payments
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. To calculate the total amount of interest, we'll use the formula for simple interest, which is Interest (I) = Principal (P) × Rate (R) × Time (T). For this loan, the principal P is $6,000, the annual interest rate R is 9% (or 0.09 when expressed as a decimal), and the time T is 30 months (or 2.5 years). Plugging these values into the formula gives us:
I = $6,000 × 0.09 × 2.5 = $1,350
The total amount owed, including interest, is $6,000 + $1,350 = $7,350. To determine the monthly installment payments, we divide this total amount by the number of months over which the loan will be repaid, which is also 30 months.
Monthly Installment Payments = Total Amount / Number of Months
Monthly Installment Payments = $7,350 / 30 ≈ $245
So, Dominick's monthly installment payment is approximately $245 to the nearest whole cent.
Given: r || s and q is a transversal Prove: ∠4 is supplementary to ∠6 Given that r || s and q is a transversal, we know that ∠3 ≅ ∠6 by the . Therefore, m∠3 = m∠6 by the definition of congruent. We also know that, by definition, ∠4 and ∠3 are a linear pair, so they are supplementary by the linear pair postulate. By the definition of supplementary angles, m∠4 + m∠3 = 180°. Using substitution, we can replace m∠3 with m∠6 to get m∠4 + m∠6 = 180°. Therefore, by the definition of supplementary angles, ∠4 is supplementary to ∠6.
Answers
Answer:
Step-by-step explanation:
Answer alternate interior
I believe
Answer:
alternate interior
Step-by-step explanation:
it should be this not sure though
find the value of x in this figure.
105
120
110
115
Answers
Answer:
I believe the answer is 120
The value of x in the figure is 120° .
Since MN and NP are tangent to O, then the angle subtended at the center is twice angle m
Angle O = 2 * (Angle O)Now we have :
O = 2 * 60
O = 120°
Therefore, angle O = 120°
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Please help with this angle of elevation and depression problem, thanks so much have an amazing day:) (#18)
Answers
T= O/A
Tan(46)= x/35
Tan(46)×35= x= 36.2435... ft
The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system. x+2y=-2 y=1/2x-5 Kaden’s Graph What is the solution to the system of equations?
Answers
Answer:
Step-by-step explanation:
x+2y=-2
2y = - x -2
y = -1/2 x -1 ... (The first line) red
y=1/2x-5 ( the second line ) bleus
the solution to the system of equations is (4 ; -3) intersection of two line
Ignore the bottom part just do the top number two
Answers
the answer is A i believe
Plz help!!!! If you can fast please do!!!!!!!!!!!!!
Answers
All of the numbers in the shaded part of the line have two characteristics:
==> X >= 0
==> X <= 20
This can be written as a single inequality with x in the middle, but when I type it, Brainly won't accept the characters, and says there's an error.
Here it is in words:
0 (less than or equal to) x (less than or equal to) 20 .