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Yuki888 [10]
3 years ago
5

Which of the following is the measure of an acute angle? A. 126 B. 86° C. 90°

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0

Answer:

b

Step-by-step explanation:

an acute angle is an angle that is smaller than 90 degrees.

if the angle is exactly 90 degrees, then it is a right angle.

anything larger than 90 degrees is considered to be an obtuse angle.

Hope this helps for other questions like this as well!

Irina18 [472]3 years ago
6 0
The measure of an acute angle is B. 86
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Find a vector parametrization for the line with the given description. Perpendicular to the yz-plane, passes through (0, 0, 8)
Brilliant_brown [7]

Answer:

\left\{\begin{array}{l}x=t\\ \\y=0\\ \\z=8\end{array}\right.

or

\overrightarrow{(t,0,8)}

Step-by-step explanation:

yz-plane has the equation x=a, where a is a real constant. The normal vector of this plane (vector perpendicular to the plane) is

\overrightarrow {n}=(1,0,0)

If the line is perpendicular to this plane, then it is parallel to the normal vector, so the equation of this line is

\dfrac{x-x_0}{1}=\dfrac{y-y_0}{0}=\dfrac{z-z_0}{0},

where (x_0,y_0,z_0) are coordinates of the point the line is passing through.

In your case, the line is passing through the point (0,0,8), so the canonical equation of the line is

\dfrac{x-0}{1}=\dfrac{y-0}{0}=\dfrac{z-8}{0}

Write a vector parametrization for this line

\left\{\begin{array}{l}\dfrac{x-0}{1}=t\\ \\\dfrac{y-0}{0}=t\\ \\\dfrac{z-8}{0}=t\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=t\\ \\y=0\\ \\z=8\end{array}\right.

3 0
3 years ago
Simplify and solve for the unknown. Use order of operations as needed. Check your work.
antiseptic1488 [7]

Answer:

5

Step-by-step explanation:

Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X

Solving the equation to find the value of x.

⇒ 5^{3} -10^{2} = x(8-2)+2x-3x

Using the distributive property of multiplication, multiplying x with 8 and -2

⇒125-100= 8x-2x+2x-3x

cancelling out -2x and 2x

⇒ 25= 8x-3x

⇒ 25= 5x

Multiplying both side by 5

⇒ x= \frac{25}{5}

∴ x= 5

Hence, the value of unknown is 5.

3 0
3 years ago
I hate these... Help anyone? Geometry is not my strong suit.
Alchen [17]
Hello there,

Your correct answer would be the following:

1,2,5,6,

Your incorrect answer's would NOT be 3 and 4.

Hope this helps.

~Jurgen
8 0
3 years ago
The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. Find the lateral sur
ad-work [718]

The lateral surface area of the cylinder = 80 sq cm.

Step-by-step explanation:

Given,

The circumference of the base of the cylinder is 16 cm

So, 2 X pi X r = 16 cm ( where r be the radius of the base)

Now, the lateral surface of the cylinder = 2 X pi X r X H ( where H be the height = 5 cm)

= 16 X 5 sq cm

= 80 sq cm

Hope it helps you.

8 0
3 years ago
Solve for x: 2/3 (x-4) =2x
Scrat [10]
This is most likely the answer

5 0
3 years ago
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