The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?

Answer:

x =-35

Step-by-step explanation:

2/5x−3=−17

Add 3 to each side

2/5x−3+3=−17+3

2/5x = -14

Multiply each side by 5/2

5/2 * 2/5x = -14 * 5/2

x = -35

Answer:

x = -35

Step-by-step explanation:

I hope this helps!

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

Answer: -12.4 + 9.2 = -3.2

4-2=2

9-12=3

Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.

Answer:

-3.2

Step-by-step explanation:

This is the longer explanation.

-12.4+9.2 let's start with the tenth values.

On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.

Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.

-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.

Answer:

an=−4n+12

A sub n is equal to negative 4 n plus 12,

Step-by-step explanation:

Answer: -6 You answered your own question-

Answer:

4 pairs cost $64

Step-by-step explanation:

16*4=64$

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

3 * 3 * 3 = 27

Hope this helps and pls do mark me brainliest if you can:)

Answer:

a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p

Step-by-step explanation:

The angles pairs and the transversal connecting them are:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

Note the following about what a transversal is:

Let's determine the transversal connecting the following given angles:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

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Answer:

Point D

because you go 5 to the right and 3 down.

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Answer:

y = 3x + 3

Step-by-step explanation:

Using slope intercept form: y = mx + b

where m is the slope(rise over run/change in y over change in x), and b is the y intercept(point where x is 0). We can derive the equation by simply using our mathmatical principles of slope and y intercept. Because our y intercept is where x is 0. Our y intercept is 3 since x is 0 when y is 3 because it touches the axis. Since y is 6 when x is one.

y = mx + b

6 = m(1) + 3

-3 -3

_________

3 = m

_________

m = 3

_________

An m of 3 means that you rise 3 every 1 run or 3y every 1x.

Therefore, our equation in slope intercept is:

y = 3x + 3

Answer:

The point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Step-by-step explanation:

Function of graph : f(x)

Rule : f(x)→f(x-c)

When the graph shifts to right by c units

Coordinates (x,y)→(x+c,y)

Rule : f(x)→f(x)+c

When the graph shifts up by c units

Coordinates (x,y)→(x,y+c)

So, Graph f(x-2)+7

Now given graph f(x)

Shift this right by 2 units and then shift up by 7 units

So, f(x)→ f(x-2)+7

Now , Translation of point(4,5)

Using rule :

When shift by 2 units right

(4,5) →(4+2,5)=(6,5)

Now  shift up by 7 units

(6,5) →(6,5+7)=(6,12)

So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Answer:

A

Step-by-step explanation:

you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09

Answer:

a. C= 5/9(F-32)

Step-by-step explanation:

you have to subtract 32 from both sides so that leaves you with f-32=9/5c and so then you need to multipy each side my 5/9 and that leaves yoh with 5/9(f-32)=c

Answer:

Looks good ✋

Step-by-step explanation:

Answer:

it is correct

Step-by-step explanation:

I got 5,432,113,209,876,532

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

2/10 is less, because with a common denominator they are 8/40 and 25/40.  Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.

Answer:

2/10 is less than 5/8

Step-by-step explanation:

2/10 =0.20

5/8= 0.625

0.20<0.625

Answer: 16 containers?

Step-by-step explanation:

Number of oatmeal cookies with Kiara = 30

Number of chocolate chips cookies with Kiara = 48

To find the greatest number of container neded so that there are equal amount of each cookies in each , we have to find the HCF of 30 and 48 .

Factors of 32 = 1 , 2 , 4 , 6 , 8 , 16 and 32

Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 and 48

Common and highest among these factors = 16

Which means 16 is the HCF of 32 and 48 .

∴ Kiara will need 16 plastic containers .

Answer:

the answer is C. lake Texoma

hope this helps

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Answer:

1. 2x-20+2x-15=13

4x-35=13

4x=13+35

4x=48

x=12

2. x-4+9=2x-4

2x-x= -4+9+4

x=9

3. IJK=41+130=171

4. KJD=88-50=38

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

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Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

Answer:

6 feet

Step-by-step explanation:

[tex]\frac{height of object}{length of shadow}[/tex]

Let the hight of the soldier be x

[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]

x = (24×2.25)/9 = 6ft

Answer:

$7.50/lb    answer A is correct

Step-by-step explanation:

Find the unit cost:  $ per pound:

 Calculate

      $3.00

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

   (2/5) lb

It's slightly easier to calculate the equivalent

 $3.00

------------- = $7.50/lb    answer A is correct

 0.4 lb

Answer: D. $1.20 per pound

Step-by-step explanation:

Because 2/5= 0.4 in a decimal form.

If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).

1.20= 1.2

Answer:

Bruh.

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

Answer:

2/7, 3/7

Step-by-step explanation:

Total outcomes=7

No. 6 outcomes=2

P(E)= Favourable outcomes/total outcomes

    =2/7

Total even no.= 3

∴ P(E)= 3/7

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