The result is 1/3.

_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3

5 0

3 years ago

What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

goldenfox [79]

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

$\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}$

b = base length = 25 mm

H = height

We have to find 'H' using Pythagorean theorem,

slant height (hypotenuse) = 28 mm

leg₁ = base length ÷ 2 = 25÷2 = 12.5

leg₂ = H

H² + (12.5)² = 28²

H² = 784 - 156.25

= 627.75

$\sf H = \sqrt{627.75}$

H = 25.01 mm

$\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }$

= 5229 mm³

$\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}$

3 0

2 years ago

Read 2 more answers

The table shows a proportional relationship between the number of pounds of bananas purchased and the total cost of bananas.

Liula [17]

Answer:

Choice A, C and E

Step-by-step explanation:

Your table is poorly presented

Given

x y

$\begin{array}{cc} {3} & {1.47} \ \\ {5} & {2.45} \ \\ {9} & {4.41} \ \ \end{array}$

First, we calculate the constant of proportionality (k)

$k = \frac{y}{x}$

For (3,1.47)

$k = \frac{1.47}{3}$

$k = 0.49$

For (5,2.45)

$k = \frac{2.45}{5}$

$k = 0.49$

For (9,4.41)

$k = \frac{4.41}{9}$

$k = 0.49$

From the above calculations, the constant of proportionality is 0.49.

So, the usable rows must also have 0.49 as their constant of proportionality

Choice A

$(x,y) = (2,0.98)$

$k = \frac{0.98}{2}$

$k = 0.49$ --- This is usable

Choice B

$(x,y) = (7,4.45)$

$k = \frac{4.45}{7}$

$k = 0.64$ --- This is not usable

Choice C

$(x,y) = (6,2.94)$

$k = \frac{2.94}{6}$

$k = 0.49$ --- This is usable

Choice D

$(x,y) = (1,0.54)$

$k = \frac{0.54}{1}$

$k = 0.54$ ---- This is not usable

Choice E

$(x,y) = (8,3.92)$

$k = \frac{3.92}{8}$

$k = 0.49$ --- This is usable

5 0

3 years ago

Write a linear equation that passes through pairs would be perpendicular to the equation the point (2, -9) and has a slope of -5

Lostsunrise [7]

A A equation that’s perpindicular to y = 4x - 1 and passes through the point (2, -9) is…

Answer: y = -3/4x - 15/2

Explanation: Opposite reciprocal slopes and plug in -9 with y and 2 with x then solve for b

-9 = -1.5 + x

x = -15/2

6 0

3 years ago