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1 year ago

Find the measure of each acute angle.

Mathematics

2 answers:

crimeas [40]1 year ago

8 0

The 3 inside angles of a triangle need to equal 180 degrees.

This is a right triangle so the bottom left corner is 90 degrees.

This means the other two angles when added need to equal 180-90 = 90 degrees.

Now you have 8x + 7x = 90

Combine like terms:

15x = 90

Divide both sides by 15

X = 6

Now you have the value for x solve the two angles:

8x = 8(6) = 48

7x = 7(6) = 42

Top left = 48 degrees

Bottom right = 42 degrees

posledela1 year ago

5 0

Answer:

The measure of the top-left angle in the triangle is 48 ° and the measure of the bottom-right angle is 42 °.

Step-by-step explanation:

We know that , the sum of angles of triangle is 180 °.

And , It is the right triangle so, bottom left is 90 °.

8 x ° + 7 x ° + 90 ° = 180 °

15 x + 90 ° = 180 ° ..( combine like terms)

Subtract each side by 90°

15 x° + 90° - 90° = 180° - 90°

15 x° = 90 °

15 x° / 15 = 90 ° / 15 ..(Divide each side by 15°)

x° = 6 °.

Using value of x to finding the

The measure of the top left angle in the triangle is = 8 x° = 8 × 6 = 48 ° .
The measures of the bottom right angle is = 7 x ° = 7 × 6 = 42 ° .

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V125BC [204]

Check the picture below.

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2 years ago

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Are the following statements true or false? 1. If F⃗ is a vector field in 3-dimensional space, and W is a solid region with boun

Masteriza [31]

Answer:

Step-by-step explanation:

1) True. This is because the divergence of F is 1, thus, F is a linear function. Orientation is given outward to the surface. Linear function double integrated over a surface with outward orientation gives volume enclosed by the surface.

2) True. This is primarily what the Divergence theorem is.

3) False. If F was 3/pi instead of div(F), then the statement would have been true.

4) False. The gradient of divergence can be anything. The curl of divergence of a vector function is 0, not the gradient o divergence.

5) False. While finding Divergence, derivatives are taken for different variables. Since the derivatives of constants are 0, therefore, both the vector functions F and G can be different constant parts of there components even if their divergences are equal.

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1 year ago

3.274 x 10^3 as an ordinary number

Alborosie

Answer:

327.4

Step-by-step explanation:

All you have to do to simplify a number written in scientific notation is to move the decimal place to the left (if the number is negative) and to the right (if the number is positive).

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2 years ago

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The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, e

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Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

$z=\frac{x-mean}{standard deviation}$

$z=\frac{65-69}{3.5}$

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

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2 years ago

Define four symbolic constants that represent integer 25 in decimal, binary, octal, and hexadecimal formats

stealth61 [152]

Answer:

1) Decimal $25= (25)_{10}$

2) Binary $25= (11001)_2$

3) Octal $25= (31)_8$

4) Hexadecimal $25= (19)_{16}$

Step-by-step explanation:

Given : Integer is 25

To find : Represent integer in decimal, binary, octal, and hexadecimal formats.

Solution :

1) Integer into decimal - To convert into decimal the base goes to 10.

So, $25= (25)_{10}$

2) Integer into binary - To convert into binary the base goes to 2, it form in 0 and 1 and we divide integer by 2.

Divide 25 by 2 and note down the remainders.

2 | 25

2 | 12 R=1 ←

2 | 6 R=0 ↑

2 | 3 R=0 ↑

2 | 1 → R=1 ↑

So, $25= (11001)_2$

3) Integer into octal - To convert into octal the base goes to 8 and we divide integer by 8.

Divide 25 by 8 and note down the remainders.

8 | 25

| 3 → R=1

So, $25= (31)_8$

4) Integer into hexadecimal - To convert into hexadecimal the base goes to 16 and we divide integer by 16.

Divide 25 by 16 and note down the remainders.

16 | 25

| 1 → R=9

So, $25= (19)_{16}$

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