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NARA [144]
3 years ago
13

The proper angle for a ladder is about 75 ∘ 75∘ from the ground. suppose you have a 14 foot ladder. how far from the house shoul

d you place the base of the ladder?
Mathematics
1 answer:
jonny [76]3 years ago
5 0
We just use the sinus rule to calculate this

a / sin alpha = b / sin beta

Alpha is the 90 degree angle from the wall to the floor
beta is the angle from the top of the ladder to the wall,
wich is 90 degrees - 75 degrees (triangle has 180 degrees angles, one is 90 degrees), so beta = 15 degrees

14 foot / sin 90 = b / sin 15
sin 90 = 1
we move the sin15 over to the other side

14 foot x sin 15 = b
b = 3.62 foot

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The slope of a line that passes through points (-1, -3) and (-2,5) is:
sweet [91]

Answer:

m = -8

Step-by-step explanation:

Use the slope formula: m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{5+3}{-2+1} =\frac{8}{-1} =-8

m = -8

6 0
2 years ago
Math help please show work thanks
katrin2010 [14]

Answer:

Total material needed = 9.5 square feet

Step-by-step explanation:

Dimensions  of I = 2. 5feet x 1 feet

    Area = 2.5 square feet

Dimensions of S :

                      Top part = 1 feet x 1 feet

                         Area of top part = 1 square feet

                      Bottom part = 1 feet x 2.5 feet

                          Area of bottom part = 2.5 square feet

  Total Area of S = 2.5 + 1  = 3.5  square feet

Total material needed = Area of I + Area of S + Area of S

                                  = 2.5 + 3.5 + 3.5

                                  = 9.5 square feet.

4 0
3 years ago
4. What value of x makes the inequality true?<br> 3(2x - 1) - 11x S -3x + 5
NNADVOKAT [17]

Answer:

A. {x: x ≥ -4}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • {Builder Set Notation}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3(2x - 1) - 11x ≤ -3x + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property Distribute 3:                                                                  6x - 3 - 11x ≤ -3x + 5
  2. [Subtraction] Combine like terms:                                                                   -5x - 3 ≤ -3x + 5
  3. [Addition Property of Equality] Add 5x on both sides:                                   -3 ≤ 2x + 5
  4. [Subtraction Property of Equality] Subtract 5 on both sides:                        -8 ≤ 2x
  5. [Division Property of Equality] Divide 2 on both sides:                                  -4 ≤ x
  6. Rewrite:                                                                                                             x ≥ -4
6 0
2 years ago
3. The annual per capita consumption of fresh bananas in the United States can be approximated by a normal distribution, with a
svlad2 [7]

Answer:

The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

Step-by-step explanation:

Given

μ = Mean = 10.4 lb

σ = Standard deviation = 3 lb

Using a confidence level of 90%,

We'll need to first determine the z value that correspond with bottom 5% of consumption of banana

α = 5%

α = 0.05

So,

zα = z(0.05)

z(0.05) = -1.645 ----- From z table

Let x represent the largest annual per capita consumption of bananas

The relationship between x and z is

x = μ + zσ

By substitution;

x = 10.4 + (-1.645) * 3

x = 10.4 - 4.935

x = 5.465

Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

6 0
3 years ago
Para pertenecer al equipo de futbol femenino de una ciudad se deben presentar 18 pruebas y por cada prueba hecha de forma correc
GenaCL600 [577]

Answer:

150 scores

Step-by-step explanation:

The computation of the score did she get is shown below:

Since there is 18 test presented

And if the test is done on correct manner so 10 points should be awarded

Now since fifth-sixth would be done correctly

So,

= 18 × 5 ÷ 6 × 10

= 150 scores

7 0
3 years ago
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