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maxonik [38]
3 years ago
5

a boat builer wamts to make a modle of a schooner, a type of sailboatwith at least two masts. the schooner is 34 meters in lengt

h and has a beam of 8 meters (the measure or the widest point of a ship). If the builder wants her model to be 1.2 meters in length, what would be the length of the beam of the model?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0
First you should set up fractions equal to each other to see the size ratio

8/34 = x/1.2

As to make comparable fractions. Then you would cross multiply in order to get
34x = 9.6
Divide both sides by 34 and you should get an answer of 0.28m for the model beam.
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Find the slope of the line that passes through each pair of points (13,-3),(-5,-5)
PIT_PIT [208]

Answer:

\boxed{\bold{\frac{1}{9} }}

Explanation:

(13,-3), (-5,-5)

<u>Find The Slope:</u>

<u />\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}<u />

<u />\bold{\left(x_1,\:y_1\right)=\left(13,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-5\right)}<u />

<u />\bold{m=\frac{-5-\left(-3\right)}{-5-13}}<u />

<u />\bold{ \ m \ = \ \frac{1}{9} }<u />

3 0
3 years ago
Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius
german

Answer:

Volume of a cylinder: V = π * r² * h ,

Base surface area of a cylinder: A_b = 2 * π * r² ,

Lateral surface area of a cylinder: A_l = 2 * π * r * h ,

Total surface area of a cylinder: A = A_b + A_l ,

Step-by-step explanation:

So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.

8 0
3 years ago
Read 2 more answers
If you take out a loan for $4,000 and you will owe $4,920 after 2 years, what is the rate of simple interest? Express your answe
11111nata11111 [884]

Answer:

11.5

Step-by-step explanation:

Simple interest formula:

I=P\cdot r\cdot t,

where

I = interest

P = principal

r = rate

t = time

In your case,

P = $4,000

I = $4,920 - $4,000 = $920

t = 2 years

So,

920=4,000\cdot r\cdot 2\\ \\r=\dfrac{920}{2\cdot 4,000}=0.115

The rate as decimal is 0.115 that is 11.5% as percent

5 0
3 years ago
A rectangle has a perimeter equal to 24 if we consider its width x how could we talk about its length y in terms of x what are t
riadik2000 [5.3K]

2x + 2y must equal 24. 24 - 2x = 2y and 24 - 2y = 2x. Therefore, 12 - y = x. x could be able to add with y to get 12.

example: x = 4, y = 8. (4 + 4 + 8 + 8 = 16 + 8 = 24)

x = 9, y = 3. (9 + 9 + 3 + 3 = 24)

x = 5, y = 7. (5 + 5 + 7 + 7 = 24)

5 0
3 years ago
Which congruence criteria can be used directly from the information about triangles HIJ and MNO to prove IJ¯¯¯¯¯¯≅MN¯¯¯¯¯¯¯¯¯¯ b
skelet666 [1.2K]

Answer: \overline{IJ}\cong \overline{MN}

Step-by-step explanation:

Given: In triangle HIJ and triangle MNO we have

\overline{HI}\cong \overline{NO}, \angle{I}\cong \angle{N} ,\angle{H}\cong \angle{O}

here, HI and NN are the included side between  ∠I & ∠H and ∠N and ∠O.

So , by ASA congruence rule,

ΔHIJ ≅ ΔMNO

So by CPCTC  (corresponding parts of the congruent triangles are congruent)

\overline{IJ}\cong \overline{MN}

7 0
3 years ago
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