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3 years ago

11

Here are eight angles. Which of these angles are acute angles?

1 answer:

Alexeev081 [22]3 years ago

5 0

Answer:a and b

Step-by-step explanation:an acute angle in small, an acute angle will always be smaller then C

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A triangle has sides of length 2, 2, and 3. Which of the following is the measure of the obtuse angle of the triangle?

kramer

Answer:

$97.18^{\circ}$

Step-by-step explanation:

An obtuse angle in the triangle is opposite to the greatest side. The greatest side in the triangle with sides lengths 2, 2 and 3 is side with length 3. By the cosine rule,

$3^2=2^2+2^2-2\cdot 2\cdot 2\cdot \cos \alpha,\\ \\9=4+4-8\cos \alpha,\\ \\-8\cos \alpha=9-4-4=1,\\ \\\cos \alpha=-\dfrac{1}{8},\\ \\\alpha\approx 97.18^{\circ}.$

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3 years ago

Find the slope and y-intercept fotv

Verizon [17]

Look at the picture.

$A(3;\ 2)\\\\the\ slope:\ m=\dfrac{2}{3}\\\\B(0; 0):\ y-intercept$

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3 years ago

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

topjm [15]

Answer:

the volume of the parallelepiped is = 36

Step-by-step explanation:

given,

P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

PQ = Q - P = (2, 3, 1)

PR = R - P = (2, -3 , 1)

PS = S - P = (0, -2 , 3)

now volume of parallelopiped

[PQ PR PS] = $\begin{bmatrix}2 & 3 &1 \\ 2 & -3 &1 \\ 0 & -2 &3 \end{bmatrix}$

now calculating determinant of the matrix

= 2 (-9+2) - 3 (6-0) + 1 (-4-0)

= -14 - 18 - 4

= -36

hence , the volume of the parallelepiped is = 36

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2 years ago

Emma is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $2.50 per mile driven.

Akimi4 [234]

Answer:

C=2.50m+20

Step-by-step explanation:

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3 years ago

Simplify the expression (62)4

Inessa [10]

Answer:

248

Step-by-step explanation:

(62)4

= 62 x 4

= 248

5 0

3 years ago

Read 2 more answers