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3 years ago

5. Find the slant height of the square pyramid illustrated below that has a

Mathematics

1 answer:

Andre45 [30]3 years ago

8 0

Answer:

20 ft

Step-by-step explanation:

The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.

SA = base area + lateral area

SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height

SA -b² = 2bs . . . . . subtract the base area

s = (SA -b²)/(2b) . . . . divide by the coefficient of s

Using the given values for surface area and base length, we find ...

s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet

The slant height of the pyramid is 20 feet.

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The average speed of your school bus is 60 kilometers per hour. Write an

pochemuha

Answer:

s= vt

Step-by-step explanation:

v= s/t = 60km/hr...(Criss cross)

s= vxt= vt

4 0

3 years ago

A player kicks a soccer ball off of the ground. The height of the ball is modeled by the equation h(t)=-\frac34\left(t-4\right)^

Aneli [31]

Answer:

Step-by-step explanation:

We can solve this in either of two approaches: Mathematically or Graphically.

Mathematically

y=-(3/4)(x-4)^2+12 where y is the height of the ball, and x is the time, in seconds.

We want to know how many seconds for the height to be 0, so y=0.

0 = -(3/4)(x-4)^2+12

-12 = -(3/4)(x-4)^2

12*(4/3) = (x-4)^2

16 = (x-4)^2

x = 8 and 0 (the initial point).]

It will reach the ground in 8 seconds

Graphically

Plot the function and find the time, x, when the graph passes through the x axis (after t = 0). Attached.

6 0

2 years ago

Do values of these triangles form right triangles or not using Pythagorean theorem

miskamm [114]

Answer:

Yes

Step-by-step explanation:

9-12-15 is just a dilation of a 3-4-5, which is right.

6-8-10 is also a dilation of 3-4-5.

However, 2-4-6 is not a triangle. In fact, it's just a line segment, because 2+4=6

7 0

3 years ago

If the number of shoes in a closet is s then how many pairs of shoes are in the closet

Misha Larkins [42]

Is there any other information?

3 0

3 years ago

Solve for x (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago