The height of a tree sapling was 3.15 inches last year. This year, the height is 5.38 inches. How much did the height of the tree sapling increase? Find the difference.

Answer:

  46.8

Step-by-step explanation:

The missing angle in ∆PQR is 180° -76° -41° = 63°. Two angles are the same between the triangles, so we know they are similar. Side lengths of similar triangles are proportional.

Corresponding sides of the triangles are ...

  ST ⇔ PQ   ratio ST/PQ = 16.8/14 = 1.2

  TU ⇔ QR   ratio TU/QR = x/10 = 1.2 ⇔ x = 12

  US ⇔ RP   ratio US/RP = 18/15 = 1.2

The perimeter of ∆STU is the sum of its side lengths ...

  16.8 +12 +18 = 46.8 . . . units

_____

Additional comment

The perimeter of PQR is 14 +10 +15 = 39. The scale factor applies to the perimeter, just as it does to the side lengths.

The perimeter of STU is 1.2×39 = 46.8.

Answer:

-2bis the solution of the 3rd one

Answer:

10/(1+√11),  1+√11 and 10/(1-√11) and  1-√11

Step-by-step explanation:

Let x be the first number and y the second number

two numbers that multiplied together give me 10

x*y = 10

and the difference of the two numbers is -2?

x-y = -2

we can write x in terms of y so we only have one variable y

x-y =-2 , add y to both sides

x-y+y = y -2, combine like terms

x= y-2

x*y = 10, substitute x=y-2

(y-2)y = 10, distribute in parenthesis

y² -2y-10 = 0, subtract 10 from both sides

We can use the quadratic formula to solve y² -2y-10 = 0

y = (-b±√b²-4ac)/2a, where a= 1, b= -2, c= -10

y = (2±√4+4*1*10)/2

y = (2±√44)/2

y= (2±2√11)/2

y= 1±√11

x*y = 10, divide both sides by y

x= 10/y

x= 10/(1±√11)

Check :

x*y = 10

[10/(1±√11)] * (1±√11) = 10

⇒[10/(1+√11)] * (1+√11) = 10✅

⇒[10/(1-√11)] * (1-√11) = 10✅

⇒[10/(1+√11)] * (1-√11) = 10❌

⇒[10/(1-√11)] * (1+√11) = 10❌

x-y = -2

⇒

[10/(1+√11) ] -(1+√11) =

[10 -(1+√11 )(1+√11 )]/ (1+√11 ) =

[10 - (1+11+2√11)]/ (1+√11) =

(10-12 -2√11) / (1+√11) =

(-2 -2√11) / (1+√11) =

-2(1+√11)/ (1+√11) =

-2 ✅

⇒

[10/(1-√11) ] -(1-√11) =

[10 -(1-√11 )(1-√11 )]/ (1-√11 ) =

[10 - (1+11-2√11)]/ (1-√11) =

(10-12 +2√11) / (1-√11) =

(-2 +2√11) / (1-√11) =

-2(1 -√11)/ (1-√11) =

-2 ✅

Answer:

c. 16.2 centimetres

Step-by-step explanation:

c² = a² + b²

Answer:

I cannot answer that but here is an example problem to help.

Step-by-step explanation:

The Boston Tea Party was a political protest that occurred on December 16, 1773, at Griffin's Wharf in Boston, Massachusetts. American colonists, frustrated and angry at Britain for imposing “taxation without representation,” dumped 342 chests of tea, imported by the British East India Company into the harbor.

Answer:

Step-by-step explanation:

Because the British refused to lift high tax on tea

Step-by-step explanation:

= -2(x - 5) + 4(9 + x)

= -2x + 10 + 36 + 4x

= (-2 + 4)x + 10 + 36

= 2x + 46

Answer:

y = 1/3x

Step-by-step explanation:

Using the slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

Taking (-3,-1) as (x1,y1) and (6,2) as (x2,y2):

(2-(-1))/(6-(-3))

= (2+1)/(6+3)

= 3/9

= 1/3

Hence, the slope (m) is 1/3

Substituting the slope into 'y = mx+c':

y = 1/3x + c

Substituting any point, however, we will be substituting (-3,-1):

-1 = 1/3 * (-3) + c

-1 = -1 + c

c = -1 + 1

= 0

Hence,

y = 1/3x

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

like the book series? if so yes its great

Step-by-step explanation:

C opens up with a vertex at (-4,-1)

Answer:

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

y = (x - 4)² - 1 ← is in vertex form

with vertex = (h, k ) = (4, - 1 )

• If a > 0 then the graph opens up

• If a < 0 then the graph opens down

Here a = 1 > 0 then graph opens up

Thus option A

The answer is

4^2 ^2

Answer:

X^2-4

Step-by-step explanation:

hope this helps

Answer:

its 84 dollars sorry I'm late

Step-by-step explanation: Make a proportional relationship.

make 120% into a fraction. 120/100

then make 70 into a fraction using a variable. For example, x/70

Then cross multiply 120 and 70. 120x70=8,400

Last divide 8,400 by 100 and that equals $84.

Hope this helps!

Answer:

y=5x-6

Step-by-step explanation:

Comparing y=5x-6 with y=mx+c,the slope is 5 and y intercept is-6

Answer:

not at all

Step-by-step explanation:

Answer:

y = 2x+6

Step-by-step explanation:

y is out

x is in

output = 6 more than twice the input

output = 6+2x

reorganize, 2x + 6

2x+6 = y

Step-by-step explanation:

Vertical length of the smaller  triangle is:

Horizontal length of the smaller triangle is:

The fraction:

This fraction is same for the larger triangle, which is 4/6 = 2/3.

It means the slopes are same.

Since the slopes are same, the segments are part of same red line.

Answer:

Hope this helps

Step-by-step explanation:

the answer would be 7056

98*72=7056

Brainliest is appreciated

Answer:A

Step-by-step explanation:11m3-

Answer:

The answer would be Part F

Answer:

1) 60.04

2) 78.6

3) 65.86

4) 5.19

5) 131.3

6) 86.4

7) 15.03

8) 87.5

9) 86.7

10) 29.35

11) 42.42

12) 517.24

13) 20

14) 340.43

15) 63.2

16) 135.88

17) 71.25

18) 69.57

19) 1.96

20) 85.86

Answer:

C

Step-by-step explanation:

Answer:

each sandwich has 1.93 ounces of meat or approximately 2 oz

Step-by-step explanation:

81 ÷ 42 = 1.93

I hope this helps!

11.92 × 3.21 = 38.2632

Answer:

-If you need to round to the whole number, you would round down to 38

-If your answer needs to be a decimal, it would be 38.30

If you don't have a specific way you need to round it, estimates are usually whole numbers, so your answer would be 38

Hope this helps!

Factors are 9x-6 and 9x+6

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

Explanation:

We use the difference of squares rule

m^2 - n^2 = (m-n)(m+n)

In this case we have

So,

m^2 - n^2 = (m-n)(m+n)

(9x)^2 - 6^2 = (9x-6)(9x+6)

81x^2 - 36 = (9x-6)(9x+6)

Answer:

9x + 6 and 9x -- 6

Step-by-step explanation:

81x2--36 = (9x) 2 -- (6)2 = a2 -- b2 = (a+ b )(a--b) = (9x+6)(9x-6)

Answer:

a = -2

b = -10

c = -12

Step-by-step explanation:

a quadratic inequality is set up in the form of y < ax^2 + bx + c

if we substitute each value from the original equation into this formula, we can find the values of a, b, and c.

Answer: I can not help you because I can’t see the Graphs

Step-by-step explanation:

Thank you.