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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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Hey there!

Answer:\boxed{\text{Line up the decimal}}

Explanation:

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When subtracting decimals with the same sign you <u>Line up the decimal</u>.

Hope this helps!

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harkovskaia [24]

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Step-by-step explanation:

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Dilate the the triangle, scale factor = 3 (positive 3, ignore the
HACTEHA [7]

Answer:

The rule of dilation is P'(x,y) = 3\cdot P(x,y).

The vertices of the dilated triangle are A'(x,y) = (-21, -18), B'(x,y) = (-15,-10) and C'(x,y) = (-3,-15), respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

P(x,y) - Original point, dimensionless.

P'(x,y) - Dilated point, dimensionless.

If we know that O(x,y) = (0,0), k = 3, A(x,y) = (-7,-6), B(x,y) = (-5,-2) and C(x,y) =(-1,-5), then dilated points of triangle ABC are, respectively:

A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)] (2)

A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]

A'(x,y) = (-21, -18)

B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)] (3)

B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]

B'(x,y) = (-15,-10)

C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)] (4)

C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]

C'(x,y) = (-3,-15)

The rule of dilation is:

P'(x,y) = 3\cdot P(x,y) (5)

The vertices of the dilated triangle are A'(x,y) = (-21, -18), B'(x,y) = (-15,-10) and C'(x,y) = (-3,-15), respectively.

7 0
2 years ago
PLZ HELP ASAPPPP IMAGE ABOVE^ thxx!!
Novosadov [1.4K]

Answer:

16 units2

Step-by-step explanation:

1/2 *b*h

1/2*4*8

16 units(sq.)

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>!</em><em> </em><em>^</em><em>_</em><em>^</em>

6 0
3 years ago
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