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2 years ago

7

The base of a ladder is 2.8m placed away from a tree that is 4.5m tall. The end of the ladder touches the top of the tree. Calcu

late the length of the ladder.

1 answer:

horrorfan [7]2 years ago

4 0

Step-by-step explanation:

Hello all beautiful your day

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A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Yolanda chooses a marble at random, and without putting it ba

aliya0001 [1]

Answer:

2/10 = 1/5

Step-by-step explanation:

7 0

3 years ago

The fifth grade teachers took their classes on a field trip to museum first group had 25 students and two teachers and cost $97.

iren [92.7K]

Answer:

Step-by-step explanation:

S=student cost; T=teacher cost

.

32S+3T=$127 . Multiply this by 2.

64S+6T=$254 Subtract this below

.

25S+2T=$97.50 . Multiply this by 3.

75S+6T=$292.50

64S+6T=$254 . Subtract this (from above.)

.

11S=$38.50

S=$3.50

ANSWER 1: Student tickets cost $3.50.

.

32S+3T=$127

32($3.50)+3T=$127

$112+3T=$127

3T=$15

T=$5.00

ANSWER 2: Teacher tickets cost $5.00.

.

CHECK:

25S+2T=$97.50

25($3.50)+2($5.00)=$97.50

$87.50+$10.00=$97.50

$97.50=$97.50

4 0

3 years ago

Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)

DENIUS [597]

Compute the necessary values/derivatives of $f(x)$ at $x=1$ :

$f(1)=3$

$f'(1)=2$

$f''(1)=-12$

$f'''(1)=-12$

$f^{(4)}(1)=48$

$f^{(5)}(1)=120$

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) $f(x)$ at $x=1$ by

$T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5$

$T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5$

###

Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

$f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5$

by expanding the right hand side and matching up terms with the same power of $x$ .

5 0

2 years ago

Mr. Johns has up to 100 ceramic goods including mugs and plates available for his art class to decorate at the end of the year.

MA_775_DIABLO [31]

Answer:

m + p >= 100

m >= 40

p >= 10

Step-by-step explanation:

let m = number of mugs

let p = number of plates

4 0

2 years ago

What is the answer to this eqaution 20 ÷ 15/16

stepladder [879]

Answer:

21 1/3

Step-by-step explanation:

20 ÷ 15/16=

20/1 ÷ 15/16=

20/1*16/15=

4/1*16/3=

64/3=

21 1/3

3 0

2 years ago