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3 years ago

I need help with this question ( see image). Please show workings.

Mathematics

2 answers:

Arlecino [84]3 years ago

4 0

Answer:

Kofi, the building and the tree form an isosceles right triangle KTB.

<em>Refer to picture</em>

The distance KB is the hypotenuse and its length is:

KB = √8² + 8² = √64 + 64 = √128 = 8√2

Correct choice is C

The angles at vertices K and B equal to 45° as opposite sides are equal.

TB is a vertical line which makes angle 180°.

<u>Add 45° to get a required bearing:</u>

180°+ 45° = 225°

Correct choice is C

P, Q and R form a right triangle with PR as hypotenuse.

<u>RQ is the missing leg and its length is:</u>

RQ = √PR² - PQ² = √10² - 5² = √100-25 = √75 = 8.7 (rounded)

Correct choice is D

babymother [125]3 years ago

3 0

Answer:

14) (C) 8√2 km

15) (C) 225°

Exercise 15.17 (D) 8.7 km

Step-by-step explanation:

14)

d² = 8² + 8² = 64 + 64 = 128

d = √128 = 8√2 km

15) 180° + 45° = 225°

Exercise 15.17

QR² = 10² - 5² = 100 - 25 = 75

QR = √75 = 5√3 = 8.7 km

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Plzzzzz help im giving 50 pts if u help me and ill mark brainliest

vivado [14]

Answer:

no solution

Step-by-step explanation:

–5x – 12y – 43z = –136

–4x – 14y – 52z = –146

21x + 72y + 267z = 756

Every coefficient of the second equation is a multiple of 2, so divide both sides by 2.

Every coefficient of the third equation is a multiple of 3, so divide both sides by 3.

–5x – 12y – 43z = –136

–2x – 7y – 26z = –73

7x + 24y + 89z = 252

Let's call the above system the "simplified original system."

Using the simplified original system, multiply the first equation by -2 and the second equation by 5. Then add them.

10x + 24y + 86z = 272

(+) -10x - 35x - 130z = 365

------------------------------------------

-11y - 44z = 637

Now we have an equation with only y and z.

Now, using the simplified original system, multiply the second equation by 7 and the third equation by 2. Then add them.

–14x – 49y – 182z = –511

(+) 14x + 48y + 178z = 504

-------------------------------------------

-y - 4z = -7

Now we have a system in 2 unknowns, y and z.

-11y - 44z = 637

-y - 4z = -7

Multiply the second equation by -11 and add to the first equation.

-11y - 44z = 637

(+) 11y + 44z = 77

-----------------------------

0 = 714

Since 0 = 714 is false, this system has no solution.

4 0

3 years ago

Find the equation of the line through the given pair of points in standard form using only integers and the smallest possible po

denis23 [38]

Answer:

The standard equation is $5y+9x=-56$ .

Step-by-step explanation:

Consider the provided points.

To find the standard equation of line use two point slope form.

$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute $\left(x_1,\:y_1\right)=\left(-4,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-9,\:5\right)$ in above formula.

$(y-(-4))=\frac{5-\left(-4\right)}{-9-\left(-4\right)}(x-(-4))$

$(y+4)=\frac{9}{-5}(x+4)$

$(y+4)=-\frac{9}{5}(x+4)$

$5y+20=-9x-36$

$5y+9x=-36-20$

$5y+9x=-56$

Hence, the standard equation is $5y+9x=-56$ .

3 0

3 years ago

The fee for charging an electric car at station A is $2 to start and $4 for each hour or fraction of an hour. Which point is NOT

Alex777 [14]

I think it is D

I think ok

8 0

3 years ago

A two digit number becomes 5/6 of the reversed number when the digits are interchanged the difference between the digits is 1 fi

Rina8888 [55]

Answer:

Original number = 54

Reversed number = 45

Step-by-step explanation:

Let the tens place digit be x and unit's place digit be y.

Therefore, required no. = 10x + y

Number obtained after interchanging the digits = 10y + x

According to the given condition:

$10y+ x = \frac{5}{6} (10x + y) \\ 6(10y + x) = 5(10x + y) \\ 60y + 6x = 50x + 5y \\ 60y + 6x - 50x - 5y = 0 \\ 55y - 44x = 0 \\ 11(5y - 4x) = 0 \\ 5y - 4x = 0.....(1) \\ according \: to \: the \: second \: condition \\ x - y = 1 \\ x = y + 1....(2) \\ from \: equations \: (1) \: and \: (2) \\ 5y - 4(y + 1) = 0 \\ 5y - 4y - 4= 0\\ y - 4 = 0 \\ y = 4 \\ substituting \: y = 4 \: in \: equation \: (2) \\ x = 4 + 1 \\ x = 5 \\ \\ 10x + y = 10 \times 5 + 4 = 50 + 4 = 54 \\ 10y + x = 10 \times 4 + 5 = 40 + 5 = 45 \\$

4 0

3 years ago

What is the percentage

Misha Larkins [42]

Answer:

a percentage is a part of 100 or a fraction over 100

3 0

3 years ago

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I need help with this question ( see image). Please show workings.​

I need help with this question ( see image). Please show workings.