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blagie [28]
3 years ago
11

Find the missing side length. Round to the nearest tenth.15 cm9 cm​

Mathematics
1 answer:
vazorg [7]3 years ago
5 0
Using Pythagorean’s theorem
a^2 +b^2= c^2
We know
c=15
b=9
a=?
Sub that in the Pythagorean’s theorem
a^2+9^2 = 15^2
a^2 + 81 = 225
a^2= 225-81
a^2 = 144
a= square root of 144
a= 12

Therefore the answer is 12
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A biologist wants to know the width w of a river in order to properly set instruments for studying the pollutants in the water.
belka [17]

Answer:   The river is 148.3 feet wide.

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The triangle formed is a right triangle.

Using SOH CAH TOA

tan 56 = \frac{x}{100}

Multiplying 100 in both sides

x = 100 \times tan56

x = 100 \times 1.4826

x = 148.26

Rounding to the one decimal place

x = 148.3

Hence river is 148.3 feet wide.   .............. Answer

Hope it will help :)

6 0
3 years ago
A $1,200 Mac is on sale for 15% off. How much was the discount?
Fudgin [204]

Answer: The discount is $180, and the price with the discount is $1,020.

Step-by-step explanation: Multiply 1,200 times .15 to get the discount, or how much you get off. Then subtract the answer, which is $180, from the original price, to get $1,020. This is the price with the discount.

8 0
2 years ago
determine the householder transformation that annihilates all but the first entry of the vector [1 1 1 1 ]t. specifically, if (
Stolb23 [73]

Answer:

v=a+ 2e1= [3 1 1 1] x^{T}.

Step-by-step explanation:

Let a = ^{}\left[\begin{array}{ccc}\\1&1&1\\\end{array}\right] ^{T}and we know that\alpha=±║α║₂= 2.

As we have gone over in class, the formula for v is v= a-\alphae1

with the sign of chosen to avoid subtraction. This gives v=a+ 2e1= [3 1 1 1] x^{T}.

Disclaimer ;The question is incomplete

Question:

Determine the Householder transformation that annihilates all but the first entry of the vector[1 1 1 1]>Specifically, if

I-2vv^{T}/v^{T}v\left[\begin{array}{ccc}1\\1\\1\\1\end{array}\right]==\left[\begin{array}{ccc}\alpha \\0\\0\\0\end{array}\right]

what are the values of α and v?

#SPJ4

learn more about it on

brainly.com/question/28180105

8 0
1 year ago
find three consecutive even integers so that the twice the sum of the second and third is twelve less than six times the first
zysi [14]

n, n + 2, n + 4 - three consecutive even integers

the twice the sum of the second and third: 2[(n + 2) + (n + 4)]

twelve less than six times the first: 6n - 12

The equation:

2[(n + 2) + (n + 4)] = 6n - 12

2(n + 2 + n + 4) = 6n - 12

2(2n + 6) = 6n - 12       <em>use distributive property</em>

(2)(2n) + (2)(6) = 6n - 12

4n + 12 = 6n - 12       <em>subtract 12 from both sides</em>

4n = 6n - 24       <em>subtract 6n from both sides</em>

-2n = -24        <em>divide both sides by (-2)</em>

n = 12

n + 2 = 12 + 2 = 14

n + 4 = 12 + 4 = 16

<h3>Answer: 12, 14, 16</h3>
4 0
3 years ago
Solve for x. <br> 2/3(x - 7) = -2
son4ous [18]
2/3x -14/3 = -2  -foiled

2/3x = -6/3 +14/3 -common denominator

2/3x = 8/3

x = 8/3 * 3/2 

x = 24/6 

x= 4

4 0
3 years ago
Read 2 more answers
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