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jasenka [17]
3 years ago
8

Solve application problems using radical equations. How far from the base of the house do you need to place a 13-foot ladder so

that it exactly reaches the top of a 10- foot tall wall?
Mathematics
1 answer:
Pavel [41]3 years ago
4 0
C^2 = a^2 +b^2
a^2 = c^2 - b^2
a^2 = 13^2 - 10^2
a^2 = 69
a = root69

Therefore you need to put the ladder approximately 8.3 feet from the base of the house.
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A model for the surface area of a human body is given by S = 0.1091w0.425h0.725, where w is the weight (in pounds), h is the hei
saveliy_v [14]

Answer:

2.3%

Step-by-step explanation:

Surface area of a human body is given by -

S = 0.1901* w^{0.425}* h^{0.725}\\

Taking integral on both sides, we get -

In S = 0.425 ln w + 0.725 ln h + ln 0.1091\\\frac{dS}{S} = 0.425\frac{dw}{w} + 0.725\frac{dh}{h}\\

Since, the at most error in the surface area of a human body is 2%

Substituting this in above equation, we get -

\frac{dS}{S} \leq [0.425*0.02 + 0.725*0.02]\\\frac{dS}{S} \leq0.023\\

Thus, the maximum error is surface area is equal to

0.023 * 100\\= 2.3%

6 0
3 years ago
): If (6x-3)(6x+3)=ax^2-b, what is the value of a? What is the value of b?
lesantik [10]
Answer: a = 36 and b = 9

Explanation:

(6x-3)(6x+3)

= 36x² - 18x - 18x - 9

= 36x² - 9



(6x-3)(6x+3) = ax² - b

36x² - 9 = ax² - b

a = 36 and b = 9

Hope it helps!
7 0
3 years ago
Write 44 as a product of primes using index notation
trasher [3.6K]

Answer:

Step-by-step explanation:

44 = 2 * 2 * 11

    = 2² *11

3 0
2 years ago
Please help 15 points will give brainliest
torisob [31]

Answer:

Step-by-step explanation:

m∠1 = 3 times of m∠2

m∠2 = (1/3) times of ∠1

        = \dfrac{1}{3}*72\\\\= 24

m∠2 = 24°

6 0
3 years ago
I have been struggling at this please help
Taya2010 [7]

Answer:

21

Step-by-step explanation:

I shall change the pictures to letters

a + a + b = 40 --(1)

b - c = 7 --(2)

c + a = 19 --(3)

a - c + b = ?

From (1):

2a + b = 40

b = 40 - 2a --(4)

From (2):

b = 7 + c --(5)

Sub (4) into (5):

40 - 2a = 7 + c

c = 33 - 2a --(6)

Sub (6) into (3):

33 - 2a + a = 19

a = 14

Sub a = 14 into (4) and (6):

b = 40 - 2(14) = 12

c = 33 - 2(14) = 5

therefore, a - c + b = 14 - 5 + 12 = 21

Topic: simultaneous equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

5 0
3 years ago
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