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3 years ago

Please take a look at the picture. Please write your answer with an explanation.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

-1

Step-by-step explanation:

We are given the expression:

-5x + 6y - 7y + 4x

With condition x = -3, y = 4

Therefore, substitute x = -3 and y = 4.

-5(-3) + 6(4) - 7(4) + 4(-3)

Recall every important fundamental math such as multiplying with negative.

15 + 24 - 28 - 12

Evaluate:

39 - 40

-1

Alternative solution is to combine like terms first before substitution.

-x - y

Thus:

-(-3) - 4

3 - 4

-1

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A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground. How high is the top o

DochEvi [55]

Answer:

The height of tree house is 70.71 feet

Step-by-step explanation:

We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground

Refer the attached figure

Length of rope AC = Hypotenuse =100 feet

The top of a tree house to the ground forms a 45∘ angle of elevation from the ground = $\angle ACB = 45^{\circ}$

We are supposed to find the height of tree house i.e.AB = Perpendicular

So, Using trigonometric ratio

$Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB$

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3. The angle between two equal sides of an isosceles triangle is 52º.

Naily [24]

Answer:

a) 64° each

b) 15.78 cm

c) 51.78 cm

Step-by-step explanation:

a) (180 - 52)/2 = 64°

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Yakvenalex [24]

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Read 2 more answers

Find the nth term for the<br> following sequences:<br> Q2)3, 9, 15, 21

elixir [45]

Answer:

$a_{n}$ = 6n - 3

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 9 - 3 = 15 - 9 = 21 - 15 = 6

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 6, then

$a_{n}$ = 3 + 6(n - 1) = 3 + 6n - 6 = 6n - 3

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3 years ago