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Kazeer [188]
2 years ago
11

Mind blank pls help with #3

Mathematics
2 answers:
Furkat [3]2 years ago
8 0

Answer:

<u>∠C = 16.26°</u>

Step-by-step explanation:

Since the adjacent side and the hypotenuse are given, let's take the cosine value of ∠C.

============================================================

Given :

⇒ Adjacent side (CB) = 24 cm

⇒ Hypotenuse (CA) = 25 cm

==========================================================

Taking the cos value :

⇒ cos ∠C = CB/CA

⇒ cos ∠C = 24/25

⇒ ∠C = cos⁻¹ (0.96)

⇒ <u>∠C = 16.26°</u>

snow_tiger [21]2 years ago
4 0

Answer:

\angle C = 16.26^{\circ}

Step-by-step explanation:

~~~~~~\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \cos \angle C = \dfrac{BC}{AC}\\\\\\\implies \angle C = \cos^{-1} \left(\dfrac{BC}{AC}\right)\\\\\\\implies \angle C=\cos^{-1} \left(\dfrac{24}{25}\right)\\\\\\\implies \angle C = 16.26^{\circ}

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3 years ago
A system of equations has infinitely many solutions. If 2y - 4x = 6 is one of the equations, which could be the other
Serjik [45]

Answer:

-y = -2x - 3

Option 3

Step-by-step explanation:

When equations are equivalent, they will have infinitely many solutions.

If you want to find an equivalent equation, you can <u>multiply/divide every</u> term in the equation by the same number. You can also <u>rearrange</u> the equation.

Since the options mostly have "y" by itself, start by <u>rearranging</u> to isolate "y" in the given equation.

Move all the other numbers to the right of the equal sign except for "y". To move a number, apply its reverse operation to the entire equation.

Do reverse operations in reverse BEDMAS order.

2y - 4x = 6                Move "-4x" first. It's reverse is +4x.

2y - 4x + 4x = 6 + 4x

2y = 6 + 4x                Move the "2" in 2y. Divide the whole equation by 2.

2y/2 = 6/2 + 4x/2

y = 3 + 2x                  Rearrange to look like the answer choices.

y = 2x + 3

This equation looks like option 3 except every term has a different negative/positive.

y = 2x + 3         -y = -2x - 3

We can <u>multiply every term</u> by -1.

y = 2x + 3

y*-1 = 2x*-1 + 3*-1

-y = -2x + (-3)                Negative and positive make a negative

-y = -2x - 3                     Same as option 3

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Rashid [163]

Answer:

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Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

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Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

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(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

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This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

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3 years ago
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marta [7]

Answer:

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collect like terms

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divide both sides of the equation by -5

so the answer would be x=-8

7 0
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