MATHEMATICS MIDDLE SCHOOL

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Answers

Answer 1

Answer:

Answer:

1)7.288 feet

2)11.6 feet

3)safe

4) 3.7 feet

5) ∅ $= tan^(-1)(1.5) = 56.31 degrees$

6)∅1 $= tan^(-1)(2) = 63.43 degrees$

∅2 $= tan^(-1)(1.2) = 50.19 degrees$

Step-by-step explanation:

1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.

Applying trigonometry,

tan(39) = $(opposite)/(adjacent) = (s)/(9)$ = 0.809

Thus, s= $(9)(0.809) = 7.288 feet$

2) Applying pythagoras theorm,

$(Diagonal)^(2) = (9)^(2) + (7.288)^(2) =134.115$

Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet

3) The length of ladder is 14 foot and height from ground is 13.5 feet.

Applying trigonometry,

sin(∅) = $(opposite)/(hypotenous) = (13.5)/(14)$ = 0.964

∅ = angle of elevation = $sin^(-1)(0.964)$ = 74.57 ≈ 75 degrees.

Thus tractor can climb safely.

4)Applying, pythgoras theorm,

$14^(2) = (13.5)^(2) + x^(2)$

x = $\sqrt{14^(2)-(13.5)^(2)} = 3.708$

Thus, ladder should be placed at distance 3.7 feet

5)Let angle of elevation be ∅.

tan(∅) = $(30)/(20) = 1.5$

∅ $= tan^(-1)(1.5) = 56.31 degrees$

6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.

Thus,

tan(∅1) = $(30)/(15) = 2$

∅1 $= tan^(-1)(2) = 63.43 degrees$

tan(∅2) = $(30)/(25) = 1.2$

∅2 $= tan^(-1)(1.2) = 50.19 degrees$

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Danny`s jump rope is 6 meters long how many centimeters is his jump rope? and how?

Answers

Here's how I was taught to do this:

$(6meters)/(1)| (100centimeters)/(1meter) \n (6*100centimeters)/(1) \n 600 centimeters$

The answer is 600 cm.

Hope this helps!!

600 because there are 100 centimeters in 1 meter so if you add 100 6 times then your answer will be 600.

How many parrallel lines does a triangle,square,trapezoid,pentagon

Answers

triangle: no parallel sides
square: 2 pairs of parallels (2 opposite sides are parallels)
trapezoid must have 1 pair of parallels
pentagon: if regular then no parallel, if not regular there can be 1 or 2 pairs of parallels

Answer:

triangle: none

square: 2 parallels

trapezoid: 1 parallel

pentagon: none

If h(x) = 5 + x and k(x)=
, which expression is equivalent to (k•h)(x)

Answers

If h(x) = 5x and k(x) = 1/x

Then (k o h) (x) = k ( h(x) ) = k(5x) = 1/(5x)

2) If h(x) = 5 + x and k (x) = 1/x

Then (k o h)(x) =k ( h(x) ) = k (5+x) = 1 / [5 + x]

-Hope this helps-

Please mark brailiest

Answer:

1/(5+x) or also know as B if ur doing edge

Step-by-step explanation:

I just did it

An organic farmer buys a piece of land seed plants tomatoes on 5/9 of the land and green beans on 1/12 of the of the land she plants potatoes on the remaining piece of land what fraction of the land does she plant with patatoes

Answers

The organic farmer will have 13/36 part of the land for planting potatoes.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total land to be 1.

∴ The remaining land after planting tomatoes is (1 - 5/9) = 4/9.

The remaining land after planting green beans is (4/9 - 1/12) = (16 - 3)/36.

= 13/36 and it is the remaining land he can plant potatoes.

learn more about fractions here :

brainly.com/question/10354322

#SPJ2

find how much is reamaining
remaining=1-used
used=tomatoes+beens
used=5/9+1/12

5/9 times 12/12=60/108
1/12 times 9/9=9/108
used=60/108+9/108
used=69/108
used=23/36

1-23/36=
36/36-23/36=
13/36

answer is 13/36

Explain how to use the graph-and-check method to solve a linear system of two equations in two variables.

Answers

First, graph each of the equations using slope intercept form. Then, see where the two lines intercept. That is the solution to the system.

you have to explain more

Please answer ASAP will mark brainilest

Answers

Answer:

Step-by-step explanation:

Change of Y is 0 and change of x is any number.

0/any number = 0

PLEASE NEED THIS DONE AS FAST AS POSSIBLE!!!!!!!!!!!!!!!!!IT MUST BE CORRECT

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PLEASE NEED THIS DONE AS FAST AS POSSIBLE!!!!!!!!!!!!!!!!!
IT MUST BE CORRECT