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3 years ago

State when the following equations and inequalities will be true and when they will be false.

Mathematics

1 answer:

postnew [5]3 years ago

5 0

Answer:

This is true when f is less than 83 and false when f is equal to or greater than 83

Step-by-step explanation:

67>f-15

Add 15 to each side

67+15>f-15+15

83 > f

This is true when f is less than 83 and false when f is equal to or greater than 83

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There are 6 math classes in 8th grade. 5 are equally sized and the 6th class has 32 students. If there are a total of 202 studen

butalik [34]

Answer:

34+34+34+34+34=202 there u go!

5 0

1 year ago

An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s

marin [14]

Answer:

The surface area of the tower is 5,218.1 m²

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

Surface area of the tower = 5,218.1 m²

4 0

4 years ago

Which is the additive inverse of the complex number -8+3i?

lawyer [7]

The additive inverse of a complex z is a complex number $-z,$ so that

$\mathsf{z+(-z)=-z+z=0+0i=0}$

Finding $-z:$

$\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2159647

I hope this helps.

Tags: complex number additive inverse opposite algebra

3 0

3 years ago

A 445-foot fence encloses a pasture. What is the length of each side of the pasture?

fredd [130]

Answer:

89*5

Step-by-step explanation:

3 0

3 years ago

Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w

faltersainse [42]

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

5 0

3 years ago