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inn [45]
3 years ago
7

Lauren's house is 30 feet wide. its length is 2 1/2 times its width. how long is lauren's house?

Mathematics
2 answers:
galina1969 [7]3 years ago
7 0
You are trying to solve the length of the house. Let x equal the length of the house. The length of the house is 2 1/2, or 2.5 times its width. The width of the house is 30 feet.

Your equation should look like this:
x = 30(2.5)

Mutiply 30 ft. times 2.5 to get 750 ft.

x = 750 ft.

Don't forget to use your unit of measurement in the answer! You are working in feet.
vitfil [10]3 years ago
5 0

Answer:

75 FT

Step-by-step explanation:

I = LENGTH

I=2 1/2W

I=2 1/2*30

I=75 FT

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Please help! Really need help :')​
snow_lady [41]

In the above givem figures all the angles can be found by complementary pair of angles.

What do you mean by complementary pair of angles?

  • There are basically two types of pair of angles i.e. Supplementary & Complementary.
  • <em>Supplementary means that sum of two angles is 180°. It is also known as linear pair of angles. It is always formed on straight line.</em>
  • <em>Complementary</em><em> </em><em>pair</em><em> </em><em>of</em><em> </em><em>angle</em><em> </em><em>is</em><em> </em><em>that</em><em> </em><em>when</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>both</em><em> </em><em>angles</em><em> </em><em>is</em><em> </em><em>90</em><em>°</em><em>.</em><em> </em><em>It</em><em> </em><em>is</em><em> </em><em>formed</em><em> </em><em>when</em><em> </em><em>a</em><em> </em><em>right</em><em> </em><em>angle</em><em> </em><em>is</em><em> </em><em>bisected</em><em>.</em>

<h3><em>F</em><em>u</em><em>n</em><em> </em><em>Fact</em><em>:</em><em> </em><em>All</em><em> </em><em>angles</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>square</em><em> </em><em>and</em><em> </em><em>rectangle</em><em> </em><em>are</em><em> </em><em>of</em><em> </em><em>90</em><em>°</em><em>.</em></h3>

<h2>#a</h2>

<u> ∠A+45°=90°</u>

<u> ∠A+45°=90° ∠A=90°-45°</u>

<u> ∠A+45°=90° ∠A=90°-45° ∠A=45°</u>

Hence,  ∠A is 45°

<h2>#b</h2>

<u> ∠</u><u>B</u><u>+</u><u>65</u><u>°</u><u>=</u><u>90</u><u>°</u>

<u> ∠</u><u>B</u><u>=</u><u>90</u><u>°</u><u>-65</u><u>°</u>

<u> ∠</u><u>B</u><u>=</u><u>25</u><u>°</u>

Hence,  ∠B is 25°

<h2>#c</h2>

<u> ∠</u><u>C</u><u>+</u><u>52</u><u>°</u><u>=</u><u>90</u><u>°</u>

<u> ∠</u><u>C</u><u>=</u><u>90</u><u>°</u><u>-52</u><u>°</u>

<u> ∠</u><u>C</u><u>=</u><u>38</u><u>°</u>

Hence,  ∠C is 38°

<h2>#d</h2>

<u> ∠</u><u>D</u><u>+</u><u>40</u><u>°</u><u>+</u><u>34</u><u>°</u><u>=</u><u>90</u><u>°</u>

<u> ∠</u><u>D</u><u>+</u><u>74</u><u>°</u><u>=</u><u>90</u><u>°</u>

<u> ∠</u><u>D</u><u>=</u><u>90</u><u>°</u><u>-</u><u>7</u><u>4</u><u>°</u>

<u> ∠</u><u>D</u><u>=</u><u>16</u><u>°</u>

Hence,  ∠D is 16°

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lbvjy [14]

Answer:

a) Lateral area of the solid = 2011.43 cm^{2}

b) Surface area of the solid = 2544 cm^{2}

Step-by-step explanation:

a) Lateral area of the figure = 2\pirh

where; r is the radius of the cylinder, and h is its height.

Lateral area of the figure = 2 x \frac{22}{7} x 10 x 32

                                          = 2011.43 cm^{2}

b) The surface area = 2\pir(r + h) - 2(\frac{1}{2} x b x h)

                                 = 2\pir(r + h) - (b x h)

The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,

10^{2} = 6^{2} + h^{2}

100 = 36 + h^{2}

h^{2} = 100 - 36

   = 64

h = \sqrt{64}

  = 8

h = 8 cm

The surface area of the solid = 2 x \frac{22}{7} x 10 (10 + 32) - 12 x 8

                                                = 2640 - 96

                                                = 2544

The surface area of the solid is 2544 cm^{2}.

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3 years ago
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x +
serious [3.7K]

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Then the line is y = -x/3 - 19/3.  Then 3y = -x - 19, so 3y + x = -19.  We want the right-hand side to be 3, so we mutiply both sides by -3/19: -9/19*y - 3/19*x = 3.  Therefore, A + B = -9/19 - 3/19 = -12/19.

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