All categories

2 years ago

2. Find the surface area of the regular pyramid shown to the nearest whole number.

Mathematics

1 answer:

hoa [83]2 years ago

5 0

Answer:

208m^2

Step-by-step explanation:

area of hexagon = 93.53 using its equation

area of single triangle = 0.5(6*6)

area of all triangles = 6(0.5(6*6))

total area = 207.53

NWN = 208

You might be interested in

The highest score of the women’s basketball championship was Jessica Bradley. She scored 147 more points and Tina Hardtner her t

Rufina [12.5K]

Answer:

MAKE MY ANSWER BRILLINEST PLEASE:)

Step-by-step explanation:

LET:

j = the points that Jessica scored

t = the points that Tina scored

Jessica scored 147 more points than Tina:

j = t + 1497

Together, Bradley and Harner scored 1601 points:

j + t = 1601

by solving the system of equations:

j = t + 147

j + t = 1601

we find

j = 856 points

t = 707 points

Jessica Bradley scored 856 point.

Tina Harner scored 707 points.

3 0

3 years ago

Please help me with this

Kay [80]

Answer:

242

Step-by-step explanation:

sorry this is like kinda late, but there ya go

7 0

2 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago

The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how m

Sunny_sXe [5.5K]

Answer:

60°, arms 6

Step-by-step explanation:

let the total arms = n

total generated angles in a regular polygon is = (n-2)×180

now,

(n-2)×180 = 120 n

or, 180n - 360 =120n

or, 60n = 360

or, n = 6

4 0

1 year ago

What you s the distance between (13,-6) and (13,12) on the coordinate plane?

nignag [31]

Since both x values are the same and since the y values are 18 digits apart, the distance between both points is 18 units.

8 0

3 years ago

Read 2 more answers