(6x2 -5x + 10) - (2x2 -x +13)

Answer:

7x^2 + 8x-7

7×4^2 + 8×4-7

7×16+32-7

112+25

137

P=2l+2w

l+w equals half of the perimeter

220/2=110

the ratio of the length to the width is 7:3

7x+3x=110

10x=110

x=11

7*11=77 for the length

3*11=33 for the width

A=l*w

A=77*33

A=2541 square inches for the area

maybe you are getting the formula mixed up ?!?!

Answer:

Step-by-step explanation:

5/6.

use that alternate exterior angles are congruent

3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x

use that lines form 180°

y+ 5x-64= 180

y= 180 +64 -5*32; y= 84

7/8.

use that alternating exterior angles are congruent

x=86

use that same side exterior angles are supplementary

x+y = 180; y= 180 -86; y= 94

9/10.

use that vertical angles are congruent

2y=59; y= 59/2; y= 29.5

use that alternate exterior angles are congruent

3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21

Answer:

15 feet

Step-by-step explanation:

Answer:

x = 497.5

Step-by-step explanation:

that's the correct answer with solution

The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .

Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.

According to the given problem,

let , b = is the width of the fish tank

h = is the height of the fish tank given that , hold at least 35 cubic feet of water .

so ,

4×b×h ≥ 35

⇒ h ≥ 35/4b

now , surface area of the fish tank

⇒ 4b + 2× 4h + 2× bh

now substitute the value of h

here

⇒ ≥ 4b +70/b + 35/2

⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )

therefore ,

= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,

h = 35 / 4 × 4 = 2.1875 round off h = 2

so , the minimum surface area of fish tank is

⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48

hence , the height and the width of the fish tank is 2 and 4 .

learn more about dimension here :brainly.com/question/27022535

#SPJ2

Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

hope it helps.

[tex]\huge\bold{To\:find:}[/tex]

✎ The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

14

Step-by-step explanation:

You need to count by 4´s. So:

4, 8, 12, 16, 20.

3, 6, 9, 12, 14.

I lined them up for you to understand it easier

=================================================

Explanation:

Use a marker to highlight the first three digits on the left. That would be the 7, 0 and 0.

The digit just to the right of that second "0" is the digit "9". Since this 9 is larger than 5, we'll bump the 7.00 up to 7.01

The 0 in 7.01 is significant because it's between two nonzero values. So we have three sig figs here.

Answer:

-8/3

Step-by-step explanation:

You can find the slope when given two points

m = (y2-y1)/(x2-x1)

    = ( -6-2)/ (3 -0)

    = -8/3

Answer:

m<F = 53

Step-by-step explanation:

Exterior angles thm:

5x - 10 + 3x + 14 = 100

8x + 4 = 100

8x = 104

x = 13

m<F:

3x + 14

3(13) + 14

39 + 14

53

Answer:

29.32

Step-by-step explanation:

We are given the diameter on the bottom, so we can find the radius. Since a radius is half the diameter, the radius is 2mi. The formula for the volume of a cone is:

1/3 * pi * r^2 * h

We can substitute:

1/3 * pi * 2^2 * 7

29.32153

This rounds to about 29.32

Answer:

V = 117.23

Step-by-step explanation:

V = (1/3) pi x r^2 x h

Input.

V = (1/3) 3.14 x 4^2 x 7

V = (1/3) 3.14 x 16 x 7

V = (1/3) 3.14 x 112

V = (1/3) 351.68

V = 117.23

Note: Please disregard my answer as I used the incorrect radius. I needed to find the correct radius instead of using the diameter as it was.

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

Answer:

[tex]a=22,\\b=31,\\c=13[/tex]

Step-by-step explanation:

When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.

Sample solution:

[tex]a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}[/tex]

[tex]16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}[/tex]

[tex]34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}[/tex]

Answer:

Razz

May 30, 2O21

100 - 16 = 84

.84*573 = 481.32

which is more than 458.40

Answer:

[tex]y < x + 1[/tex]

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

1.95

Step-by-step explanation:

area = (1/2 ×1 ×1 )×3 = 1.5 ( for sides)

area = ( 1/2 ×1 ×0.9) = 0.45 for base

area =1.5+0.45 = 1.95

Answer:

I don't know

Step-by-step explanation:

Sorry

Answer:

Just at a glance I'm pretty sure it would be B.

Answer:

880

Step-by-step explanation:

Answer:

Rs. 3,960 is the cost of carpeting.

Answer: 12 observations

Step-by-step explanation:

1 year = 12 months

Number of observations = 1 per month

Therefore number of observations

for a year = 1 × 12

= 12 observations.

Answer: Decompose means the opposite, to take apart

Step-by-step explanation: In this lesson, the words composition and decomposition are used to describe how irregular figures can be separated into triangles and other polygons. The area of these parts can then be added together to calculate the area of the whole figure.

Answer:

1400

Step-by-step explanation:

hope that helps <3

Answer:

x = 0.1854 and x = -16.1854

Step-by-step explanation:

refer to photo

Answer:

32

Step-by-step explanation:

Since there is 112 more red marbles than green marbles,

7 units= 112

1 unit= 112÷7= 16

2 units(no. of blue marbles)=16×2=32

Answer:

Top right figure (the trapezoid)

Step-by-step explanation:

Line symmetry means that if you draw a line that cuts the figure, and reflect the figure across that line, the figure does not change.

Now, if we use vertical lines, a figure will have a line symmetry if it is exactly the same in the left as it is in the right.

And we can see that none of the figures meets this condition.

If instead, we use horizontal lines, then the figure must be equal above and below.

Particularly the "L" and the "t" can be discarded.

Also, the bottom right image can be discarded, as the bottom is clearly different than the top.

But the top right figure (the trapezoid) is exactly the same in the bottom as in the top, so if we reflect that image across a horizontal line that cuts it in two halves, the figure will not change, so that is the figure that has line symmetry,

Answer:113

Step-by-step explanation: