The area of a triangular garden can be no more than 120 square feet. The base of the triangle is 16 feet. What is the height of the triangle?show your work

Answers

Answer 1
Answer:

The height of the triangle can not be more than 15 feet.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Given the triangle,

Base = 16 feet.

Area = 120 feet²

Since the area of a triangle is given as (1/2) × base × height.

So,

Area = (1/2) × base × height.

120 = (1/2) × 16× height

Height = 120/8 = 15 feet

Hence "The height of the triangle can not be more than 15 feet".

For more about triangles,

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Answer 2
Answer:

The height is 15 feet.

0.5xbxh<_120 (equate formula for area of triangle to 120)

0.5x16xh<_120

16xh<_240 (120 divided by 0.5)

h<_15 (240 divided by 16)


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Solve the following proportion. 15/21=5/xA. 3B. 105C. 7D. not given

Step 2 asks the student to pour 20%, or 0.2 of the 0.4grams of salt from beaker A into beaker B. How many
grams of salt will go into the beaker?
grams
B.

Answers

Answer:

0.08 g

Step-by-step explanation:

20% = 0.2

0.2*0.4=0.08 g

Answer:

the answer is 0.08 grames:)

Step-by-step explanation:

Solve the linear system1).5x + 4y = 16 
y = -16 

2). 3x + 6y = 15 
-2x + 3y = -3 

3). 7y = -14x + 42 
7y = 14 x + 14 

Answers

1.5x+4y=16
5x+4(-16)=16
5x-64=16
5x=80
x=16

2.3x+6y=15
-2x+3y=-3

Multiply the 2nd equation by 2

3x+6y=15
-4x+6y=-6
7x=9
x=9/7

3x+6y=15
3(9/7)+6y=15
27/7+6y=15
6y=78/7
y=78/42 or 39/21 or 13/7

3.7y = -14x + 42 
7y = 14 x + 14

-14x+42=14x+14
-28x=-28
x=1
1)\n \n\begin{cases} 5x + 4y = 16 \n y=-16\end{cases} \n \n \begin{cases} 5x + 4*(-16) = 16 \n y=-16\end{cases} \n \n \begin{cases} 5x -64 = 16 \n y=-16\end{cases}

\begin{cases} 5x = 16 +64\n y=-16\end{cases} \n \n \begin{cases} 5x =80/:5 \ \n y=-16\end{cases} \n \n \begin{cases} 5x = 16 +64\n y=-16\end{cases} \n \n \begin{cases} x =16\n y=-16\end{cases}



2)\n \n\begin{cases} 3x+6y=15 \n -2x + 3y = -3 \end{cases} \n \n\begin{cases} 3x = 15-6y \ /:3 \n -2x + 3y = -3 \end{cases} \n \n \begin{cases} x = 5-2y \n -2*(5-2y) + 3y = -3 \end{cases} \n \n\begin{cases} x = 5-2y \n -10+4y + 3y = -3 \end{cases} \n \n

\begin{cases} x = 5-2y \n 7y = -3+10 \end{cases} \n \n \begin{cases} x = 5-2y \n 7y = 7 \ /:7\end{cases} \n \n \begin{cases} x = 5-2 *1 \n y =1 \end{cases} \n \n \begin{cases} x = 3 \n y = 1 \end{cases} \n \n



3)\n \n\begin{cases} 7y = -14x + 42 \n 7y = 14 x + 14 /:7 \end{cases} \n \n\begin{cases} 7*(2x+2) = -14x + 42 \n y = 2 x + 2 \end{cases} \n \n \begin{cases} 14x+14 = -14x + 42 \n y = 2 x + 2\end{cases} \n \n \begin{cases} 14x+ 14x = 42 -14 \n y = 2 x + 2 \end{cases}

\begin{cases} 28x = 28 \ /:28 \n y = 2 x + 2 \end{cases}\n \n\begin{cases} x = 1 \n y = 2 *1+ 2\end{cases}\n \n\begin{cases} x = 1 \n y = 4 \end{cases}


Drag a reason to each box to complete the proof.Given: DF=EG

segment D G with points D E F G on the segment in order from left to right

Prove: DE=FG

Answers

DG is a given line segment with points D E F G on the segment in order from left to right as shown in the given image.

1. DF = EG (Given)

2. As, DF=DE+EF

and EG=EF+FG

Also, DF=EG(Given)

Substituting the values of DF and EG in the given equation,

DE+EF = EF+FG (Substitution property of equality)

Subtracting EF from both the sides ,

DE=FG (Subtraction property of equality).

The answered table is attached.

Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112. Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.

Answers

112 = 4.5p + 40
subtract 40 from both sides
72 = 4.5p
divide by 4.5 on both sides to get 'p' by itself
16 = p
this means that Roger must make 16 pairs of shoes in order to meet his daily earnings goal of $112

Answer:

112=4.5p+40

16

Step-by-step explanation:

Find the solutions to the following equation:(x + 1)/(3)  -  (2x - 1)/(x)  =  - 1

Answers

Answer:

x=1+/-4i

Step-by-step explanation:

(x+1)/3-(2x-1)/x=-1

find the common denominator,

in this case, it's going to be 3x.

(x^2+x)/3x-(6x-3)/3x=-1

(x^2+x-6x+3)/3x=-1

x^2-5x+3=-3x

x^2-5x-(-3x)+3=0

x^2-5x+3x+3=0

x^2-2x+3=0

apply the quadratic formula in order to find the roots for x.

Since ax^2+bx+c=0, in this case,

a=1, b=-2, c=3

--------------------------

x=(-b+/-sqrt(b^2-4ac))/2a

x=(2+/-sqrt(4-12))/2

x=(2+/-8i)/2

x=1+/-4i

pencils come in cartons of 24 boxes. a school bought 50 cartons of pencils for the start of school. each box of pencils cost $2. how much did the school spend on pencils

Answers

If each carton has 24 boxes and each box cost $2. Then you would multiply 24*2=48 and then do 48*50 which equals $2,400.