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mr_godi [17]
3 years ago
15

How far up a house will an 18 foot ladder reach if the angle the ladder makes with the ground is 60˚?

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

15.588 ft

Step-by-step explanation:

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I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct
Bond [772]

Given the system of equations:

\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}

Step 2: Substitute the expression found for x in the first equation.

\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}

Then, divide both sides by 15.

\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

7 0
1 year ago
Tina found a piece of carpet that she would like to buy for her foyer. However, she is unsure if it will fit. The carpet is 36 s
ikadub [295]
False. If you convert 36 square yards into 18 square feet, well it comes out to 162 square feet. Not even close. 
7 0
3 years ago
Evaluate the expression: 16P4
Tju [1.3M]

The expression 16p⁴ will be written as (2p)⁴.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

16p⁴  = ( 2 x 2 x 2 x 2)p⁴

16p⁴  = 2⁴ x p⁴

16p⁴  = ( 2p )⁴

Therefore, the expression 16p⁴ will be written as (2p)⁴.

To know more about expression follow

brainly.com/question/723406

#SPJ1

8 0
2 years ago
What are the vertices of the hyperbola whose equation is (x+7)^2/25-(y-8)^2/32= 1?(−13, 8) and (−1, 8)
Elan Coil [88]

Answer:c. -7,2 and -7,14

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Solving the system of linear equations by graphing
RideAnS [48]
A) y = 2x -4
B) x + 2y = 12

A) -2x + y = -4 then multiplying Equation B by 2
B) 2x + 4y = 24

Adding the equations
5y = 20
y = 4
x = 4
Okay, that was solved by elimination.
If these equations were graphed, they would be two lines that would meet at the point (4, 4)


6 0
3 years ago
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