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4 years ago

Solve for x: x + 4.5 = -7.75

Mathematics

2 answers:

jonny [76]4 years ago

7 0

Answer:

x = -12.25.

Step-by-step explanation:

x + 4.5 = -7.75

Isolate x by subtracting 4.5 from each side:

x + 4.5 - 4.5 = -7.75 - 4.5

x = -12.25.

iogann1982 [59]4 years ago

7 0

Hello there!

x + 4.5 = -7.75

The first step is to subtract 4.5 on both sides

x + 4.5 - 4.5 = -7.75 - 4.5

x = -12.25

(Note: When you have two negative numbers, you add them and then keep the negative sign.)

Let me know if you have additional questions.

~Happy Studying~

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3 years ago

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What is the length of the hypotenuse of the triangle 18 units 18 StartRoot 2 EndRoot units 36 units 36 StartRoot 2 EndRoot units

posledela

The length of the hypotenuse is $36\sqrt{2}$ .

Given that

Consider triangle DEF.

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Triangle DEF is shown.

Angle DFE is 90 degrees and angles FDE and DEF are 45 degrees.

The lengths of sides DF and FE are 36 units.

We have to determine

What is the length of the hypotenuse of the triangle?

According to the question

The length of the hypotenuse is determined by using the Pythagoras theorem following all the steps given below.

The length of the hypotenuse is determined by;

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To know more about Pythagoras theorem click the link given below.

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3 years ago

Giving a test to a group of students, the grades and gender are summarized below

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Answer:

Kindly check explanation

Step-by-step explanation:

________A___ B___ C___ Total

Male____ 9___13___ 6____ 28

Female_ 20__ 19___ 2____ 41

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Find the probability that the student got a C:

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P(female and C):

(number of female who got C / total number)

= 2 / 69

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(Number of males or B) = (28 + 32) - 13 = 47

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4 years ago

What are the answer

TiliK225 [7]

Answer:

1)556.11 cm²

2)164.05 cm²

3)117.70 cm²

Step-by-step explanation:

1) We have a cylinder and a cone on top of it.

Formula for total surface area of cylinder is;

T.S.A = 2πrh + 2πr²

However, the top is not available for calculation here. Thus, we will use;

TSA = 2πrh + πr²

Thus;

TSA = 2π(5 × 12) + π(5)²

TSA = 455.53 cm²

The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL

L is the slanting height and can be calculated from pythagoras theorem ;

L = √(5² + 4²)

L = √41

Thus;

LSA = π × 5 × √41 = 100.58 cm²

Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²

2) for the box down;

TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

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TSA = 125 cm²

For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl

Where P is perimeter of base and L is slant height.

P = 5 × 4 = 20 cm

Radius is 5/2 = 2.5 and so using pythagoras theorem;

L = √(2.5² + 3²)

L = 3.905 cm

Thus;

LSA = ½ × 20 × 3.905 = 39.05 cm²

Overall surface area = 39.05 + 125 = 164.05 cm²

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TSA = 2lw + 2lh + 2hw

Since the top face is not used, then

TSA = lw + 2lh + 2hw

TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)

TSA = 80 cm²

For the half cylinder on top;

Surface area ;

T.S.A = 2πrh + 2πr²

Since half cylinder;

TSA = πrh + πr²

TSA = π((2 × 4) + 2²))

TSA = 37.7 cm²

Overall total surface area = 80 + 37.7 ( 117.70 cm²

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3 years ago