Help I do not get it

What is the surface area of a square pyramid with a slant height of 6cm and the length of one side of the square base is 5cm

erica [24]

Answer:

S = 85cm^2

Step-by-step explanation:

The surface area of a square pyramid is given by the following formula:

$S=2hb+b^2$

where it has taken into account the sum of the area of a square and four triangles:

$4(\frac{hb}{2})+b*b=2bh+b^2$

h: slant height = 6cm

b: base = 5cm

By replacing in the formula you obtain:

$S=2(5cm)(6cm)+(5cm)^2=85cm^2$

hence, the surface area is 85cm^2

4 0

3 years ago

Find the value of that makes m ll n.

Alja [10]

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

8 0

2 years ago

The vector ab has a magnitude of 20 units and is parallel to the<br> vector 4i + 3j.<br> find ab.

stepladder [879]

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j. Hence, The vector AB is 16i + 12j.

<h3>How to find the vector?</h3>

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Given;

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j.

magnitude

$\sqrt{4^2 + 3^2} \\\\\sqrt{16 + 9} \\\\= 5$

Unit vector in direction of resultant = (4i + 3j) / 5

Vector of magnitude 20 unit in direction of the resultant

= 20 x (4i + 3j) / 5

= 4 x (4i + 3j)

= 16i + 12j

Hence, The vector AB is 16i + 12j.

Learn more about vectors;

brainly.com/question/12500691

#SPJ1

7 0

1 year ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t

inn [45]

ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

$c\approx 3.08$

EXPLANATION

The given

$f(x) = ln(x)$

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

$f'(c) = \frac{f(7) - f(1)}{7 - 1}$

$f'(x) = \frac{1}{x}$

This implies that;

$\frac{1}{c} = \frac{ ln(7) - 0}{6}$

$\frac{1}{c} = \frac{ ln(7)}{6}$

$c = \frac{6}{ ln(7) }$

$c\approx 3.08$

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.

7 0

2 years ago

Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5

Vedmedyk [2.9K]

9514 1404 393

Answer:

2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

$x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}$

_____

Your calculator can help you answer this:

1/5 = 0.2

1/3 = 0.333.... (repeating) . . . . the number you're looking for

3/10 = 0.3

3/5 = 0.6

7 0

2 years ago