1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
almond37 [142]
11 months ago
11

the proper angle for a ladder is about 75 degrees. from the ground. suppose you have a 9 foot ladder. how far from the house sho

uld you place the base of the ladder ? round answer to at least 2 decimal places

Mathematics
1 answer:
icang [17]11 months ago
3 0

ANSWER:

2.33 foot

STEP-BY-STEP EXPLANATION:

We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

\begin{gathered} \cos \theta=\frac{\text{ adjacent}}{\text{ hypotenuse}} \\ \theta=75\text{\degree} \\ \text{ hypotenuse = 9 foot} \\ \text{adjacent = x} \end{gathered}

Replacing and solving for x:

\begin{gathered} \cos 75=\frac{x}{9} \\ x=9\cdot\cos 75 \\ x=2.33 \end{gathered}

The distance would be 2.33 foot

You might be interested in
Which expression is equivalent to ^3√216x^27? 6x3 6x9 72x3 72x9
hichkok12 [17]
To solve this problem you must apply the proccedure shown below:
 1. You have the following expression given in the problem above:
 \sqrt[3]{216 x^{27} }
 2. Rewriting the expression we have: 
 \sqrt[3]{6^3 x^{27} }
 3. You have that 6^3 and the exponent 27
 are divisible by index 3
. Therefore, you have:
 \sqrt[3]{216 x^{27} } =6 x^{9}
 Therefore, as you can see,
 the answer is the option, which is: 6 x^{9} 

8 0
2 years ago
Read 2 more answers
Can someone please help me with this?
marishachu [46]
V=12, comment if u need an explanation
7 0
3 years ago
Read 2 more answers
The shape below is constructed from six squares, and the lengths of the sides of the three smallest squares are written inside o
Maurinko [17]

Answer:

78

Step-by-step explanation:

Smallest square: 1

Small Square: 2, Area of 4

Mid Square: 3, Area of 9

Mid White Square: 5, Area of 25

Big Square: 8, Area of 64

1 + 4 + 9 + 64 = 78

5 0
3 years ago
The diagonals of a rhombus measures 6cm and 8cm, what is the perimeter of this rhombus?
Kamila [148]
<h2><u>Diagram</u><u>:</u><u>-</u></h2>

\setlength{\unitlength}{1 cm}\begin{picture}(20,15)\thicklines\qbezier(1,1)(1,1)(6,1)\qbezier(1,1)(1,1)(1.6,4)\qbezier(1.6,4)(1.6,4)(6.6,4)\qbezier(6,1)(6,1)(6.6,4)\qbezier(6.6,4)(6.6,4)(1,1)\qbezier(1.6,4)(1.6,4)(6,1)\put(0.7,0.5){\sf A}\put(6,0.5){\sf B}\put(1.4,4.3){\sf D}\put(6.6,4.3){\sf C}\end{picture}

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

The diagonals of the Rhombus= d1 & d2=6cm and 8cm

Let the Side=a

As we know that in a Rhombus

{\boxed{\sf side=\sqrt {\left ({\dfrac{d1}{2}}\right)^2+\left ({\dfrac {d2}{2}}\right)^2}}}

  • Substitute the values

{:}\longmapsto\sf a=\sqrt {\left ({\dfrac {6}{2}}\right)^2+\left ({\dfrac {8}{2}}\right)^2 }

{:}\longmapsto\sf a=\sqrt {(3)^2+(4)^2}

{:}\longmapsto\sf a=\sqrt {9+16}

{:}\longmapsto\sf a=\sqrt{25}

{:}\longmapsto\sf a=5cm

<h2>_____________</h2><h3>Again </h3>

we know that in a Rhombus

\boxed{\sf Perimeter=4a}

  • Substitute the values

{:}\longmapsto\sf Perimeter=4×5

{:}\longmapsto\sf Perimeter=20cm

\thereforePerimeter of the rectangle is 20cm.

5 0
2 years ago
Area of a square with side length of 4inches
malfutka [58]

Answer:

16 in^{2}

Step-by-step explanation:

multiply 4 by 4

8 0
3 years ago
Other questions:
  • A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discou
    9·1 answer
  • 2x -1 + x +1 = 180 <br> PLEASE SOLVE CORRECTLY
    9·1 answer
  • Percent decrease from 64 to 21 round to the nearest percent<br><br> Thx :))
    12·1 answer
  • Which of the following algebraic expressions does not represent the word phrase, "a number times five"?
    12·1 answer
  • 1) In one month a furniture store sold 630 plastic chairs, 273 wooden chairs and 286 metal chairs.
    8·2 answers
  • Is 4(x + 2y) + 4x equal to 8(x + y)?<br> Yes or no
    6·2 answers
  • A manufacturer of piston rings for automobile engines frequently tests the width of the rings for quality control. Last week, a
    14·1 answer
  • During a​ one-month promotional​ campaign, Fran's Flix gave either a free DVD rental or a​ 12-serving box of microwave popcorn t
    15·1 answer
  • Please help with this question!
    9·1 answer
  • Can someone put x-y=3 onto y=mx+b if m=1- and b=3​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!