) If the base of the panel is 31.2 inches and the height is 18 inches, what is the area of one triangular section? Show your work

Answers

Answer 1
Answer:

The solution is, The area is 280.8 inches² of one triangular section.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

If the base of the panel is 31.2 inches and the height is 18 inches,

we know that,

Area of triangle = base × height ÷ 2

here, we have,

b = 31.2

h= 18

so, we get,

A = 18 × 31.2 ÷ 2

we know,

18 × 31.2 ÷ 2 = 280.8

so, A = 280.8

The area is 280.8 inches².

Hence, The solution is, The area is 280.8 inches² of one triangular section.

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Answer 2
Answer: Area of triangle = base × height ÷ 2
18 × 31.2 ÷ 2 = 280.8
The area is 280.8 inches²

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Use rounding or compatible numbers to estimate the difference 762-332

solve system by substitution

y=3x-20

y=-x^(2)+34

Answers

\begin{cases} y=3x-20 \n y=-x^2+34 \end{cases}\n \n \begin{cases} y=3x-20 \n3x-20=-x^2+34 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-20-34=0 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases}

\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases} \n \nx^2+3x-54=0 \n \na=1, \ \ b=3, \ \ c= -54 \n \n \Delta =b^2 -4ac =3^2-4*1*(-54)=9+216=225 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(-3-√(225))/(2)=(-3-15)/(2)= (-18)/(2)=-9

x_(2)=(-b+√(\Delta ))/(2a) =(-3+√(225))/(2)=(-3+15)/(2)= (12)/(2)=6

\begin{cases} y=3x-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3x-20 \nx=6 \end{cases}\n \n \begin{cases} y=3*(-9)-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3*6-20 \nx=6 \end{cases}\n \n \begin{cases} y=-27-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=18-20 \nx=6 \end{cases}\n \n \begin{cases} y=-47 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=-2\nx=6 \end{cases}


David and Sue are playing a card game. David’s score is –12. David’s and Sue’s scores differ by 7 points. Which expressions could represent Sue’s score?

Choose two answers that are correct.

A.
7 + 12

B.
–12 + 7

C.
–7 + 12


D.
–12 – 7

Answers

The answers are B. and D.
The scores are 7 apart, but that could be either 7 less or 7 more.

Ian picked 5 times as many berries as Michelle. Joe take seven times as many theories as Michelle. Together they picked 208 berries. how many berries did Joe pick? draw a diagram and explain how you found your answer

Answers

x-\ number \ of\ Michelle's\ berries\ny-\ number\ of \ Joe's\ berries\nz-number\ of \ Ian's\ berries\n\nz=5x\ny=7x\nx+y+z=208\n\nx+5x+7x=208\n\n13x=208\ \ \ \ | divide\ by\ 13\n\nx=16\n\ny=16*7=112\n\nJoe\ picked\ 12\ berries.
Ian =x
Michelle=y
Joe=z

5y=x
7y=z
so 5z=35y=7x
5z=7x
208=x+y+z
substitute
x and z to get
208=(5y)+y+(7y) or
208=13 y
divide both sides by 13
michelle picked 16
Joe picked 7 times than Michelle so
16 times 7=112

Trina has a total of 32 crayons.how many boxes of crayons did she buy

Answers

1 box of crayons is what she bought
Well it depends on the type of crayon box that she buys. For instance, some crayon boxes have a 24 pack box of crayons while others have 64 or maybe even a 16 pack box of crayons. So it all depends on what kind of box she bought.

I need the answer ASAP

Answers

Answer:

6.04 kilometers

Step-by-step explanation:

First, by AA triangle similarity theorem, we know that the two triangles are equal.

So, we can set up a ratio

3,500/2000=4200/x

cross multiplying, we get

3500x=4200*2000

and simplifying, we get x=2400

the distance will be 2,400+4,200=6600 yards

converting to kilometers,

6600*0.0009144=6.04

A park in a subdivision has a triangular shape. Two adjacent sides of the park are522 feet and 511 feet. The angle between the sides is 50°. Find the area of the park
to the nearest square foot.

Answers

Answer:

133,371

Step-by-step explanation:

b times h divided by 2

522 x 511 x 1/2 = 133,371