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3 years ago

What is the approximate value of b, rounded to the nearest tenth?

Mathematics

2 answers:

Lostsunrise [7]3 years ago

6 0

Not 100% sure but the most accurate answer is D! 9.4 units!!!! :) hope this helps!!! If not I'm sorry

ozzi3 years ago

4 0

we know that

m∠ZWY=m∠WXY --------> given problem

In the right triangle ZWY

$tan\ ZWY=\frac{ZY}{YW}=\frac{5}{6}$

In the right triangle XWY

$tan\ WXY=\frac{WY}{XY}=\frac{6}{a}$

$\frac{6}{a} =\frac{5}{6} \\ \\5*a=6*6 \\ \\a=\frac{36}{5}=7.2\ units$

Find the value of b

Applying the Pythagorean Theorem

In the right triangle XWY

$b^{2}=6^{2}+a^{2} \\b^{2}=6^{2}+7.2^{2}\\b^{2}=87.84\\ b= 9.4\ units$

therefore

the answer is the option

D) 9.4 units

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In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

$(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7$

$= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7$

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

Therefore, a = 2, b = 3.5

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2 years ago

I need help please and thx you

NARA [144]

Answer:

1- 3/4

2- 5/6

3- 2/3

4- 7/10

Step-by-step explanation:

1= a

2=b

3=c

4=d

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PLES HELP ME June knits scarves and hats for kids in her community. She has knitted six less than twice as many hats as scarves,

Thepotemich [5.8K]

Let x = hats she knitted

Less than means to subtract and it’s an order switcher so it would be

2x - 6 = 78

First step: Add six to both sides -6 + 6 = 0 6 + 78 = 84

2x - 6 = 78
+ 6. +6

2x = 84

Second step: Divide the coefficient on both sides, two is the coefficient

2x/2 = x
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Therefore, the answer is x= 42

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kolbaska11 [484]

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LenaWriter [7]

Answer:

113,379,904

Step-by-step explanation:

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