A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size what is the scale of the new drawing

9514 1404 393

Answer:

  base: 12 in

  altitude: 7 in

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh

Filling in the given information, we have ...

  42 = 1/2(b)(b -5)

  b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form

  (b -12)(b +7) = 0 . . . . factor

The only positive solution is b = 12

The base is 12 inches; the altitude is 7 inches.

Answer:30

Step-by-step explanation:26+4

Answer:

[tex]\displaystyle a = \frac{8}{5}[/tex].

Step-by-step explanation:

Two vectors [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex] are parallel to one another if and only if the ratio between their corresponding components are equal:

[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].

Equivalently:

[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].

For the two vectors in this equation to be parallel to one another:

[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].

Solve for [tex]a[/tex]:

[tex]\displaystyle a = \frac{8}{5}[/tex].

[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

Answer:

1, 3 and 4 options are true about the data.

Answer:

A.

C.

D.

Step-by-step explanation:

Study Island says so.

Answer:

1.4

Step-by-step explanation:

Answer is 4%

If you keep subtracting 20.8 with any percent at all you would find your answer

If you need more work shown i will give you more by saying it in comments. ^^

Answer:

those are corresponding angles

Step-by-step explanation:

6x=5x+10

-5x on both sides of the equal sign

x=10

Answer:

17

Step-by-step explanation:

[tex]\sqrt{x} = 4.1[/tex]

16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D

Answer:

66 1/6ft

Step-by-step explanation:

I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.

Answer: 46 1/4

Step-by-step explanation:

Perimeter = (L+W) x 2

So basically ... (10 1/4 + 12 5/6) x 2

Which would be ...  23 1/12 x 2

Which gives you the answer of 46 and 1/4

Answer:

15 yards within 3 consecutive plays

Answer:

Answer. so the answer is 15. you got 15 questions right.

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

because AC is shorter than DF

because AB is different to DE

Answer:

140 :)

Hope this helps

Step-by-step explanation:

Tell me if I am right

Answer:

It is (C) (6,5)

Step-by-step explanation:

Answer:

the answer is c :D

Answer:

6

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²

Answer:

.43

Step-by-step explanation:

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

because 4-1=3

The polynomials are not given, but we can answer in a general way.

Basically, what you need to test is:

Sign[p(-4)] ≠ Sign[p(-1)]

But let's see why.

The intermediate value theorem says that, if for two values a and b such that:

a < b

If we have a given continuous function such that:

f(a) < 0 and f(b) > 0.

or

f(a) > 0 and f(b) < 0

Then there exists a value c

a < c < b

Such that:

f(c) = 0

So to find the correct polynomial, you just need to evaluate it in both extremes of the interval and you should see that the sign changes.

This means that if p(x) is the polynomial, then you should have:

Sign[p(-4)] ≠ Sign[p(-1)]

This will imply, by the intermediate value theorem, that the polynomial is equal to zero for some given value on the given interval.

If you want to learn more, you can read:

https://brainly.com/question/23792383

The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g

Formula for density is;

Density = mass/volume

From the box we are given, it's volume is;

Volume = 30 * 30 * 76

Volume = 68400 cm³

Now, from conversion;

1 cm³ = 1g. Thus;

68400 cm³ = 68400 g

Volume = Mass/density

Volume = 68400/2.65

Volume = 25811 g

Read more about mass required at; https://brainly.com/question/1762479

Answer:

d

Step-by-step explanation:

Brₐinliest plz close to leveling up

Answer:

soln

A=(9,j)

x1=9,y1=j

B=(10,4)

x2=10,y2=4

slope=1

by using the fomulaof slope,

slope=y2-y1/x2-x1

1 =4-j/10-9

1 = 4-j/1

1=4-j

j=4-1

j=3

Answer:

j = 3

Step-by-step explanation:

(9 , j) ; [tex]x_{1}= 9[/tex]   and [tex]y_{1} = j[/tex]

(10, 4) ; [tex]x_{2} = 10[/tex]   and [tex]y_{2} = 4\\\\[/tex]

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]

4 - j = 1   {Subtract 4 from both sides}

-j = 1 -4

-j = -3 {Multiply both sides by (-1) }

j = 3

Answer:

Step-by-step explanation:

5

Answer:

-1.29897714066

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cos90° - sin45°

= 0 - [tex]\frac{\sqrt{2} }{2}[/tex] ( exact value of sin45° )

= - [tex]\frac{\sqrt{2} }{2}[/tex]

≈ - 0.707 ( to 3 dec. places )

Answer:

it's a vertical line.

Step-by-step explanation:

only the Y coordinate changes making it vertical

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of arcs of a circle is 360°, so the measure of arc CD is ...

  CB +BD +CD = 360°

  CD = 360° -140° -140° = 80°

The measure of inscribed angle B is half the measure of the arc it subtends:

  ∠B = arc CD/2 = 80°/2

  ∠B = 40°

Answer:

40 degrees

Step-by-step explanation:

Answer:

B. 24

Step-by-step explanation:

You add a+b+c.

A would be 5in

B would be 5in again because you can see they are the same

C would be 6in

Then you would add them all together.

5+5=10

10+6=16

Then you would multiply this by 1 1/2

This will equal out to 24

HOPE THIS HELPS