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aivan3 [116]
3 years ago
6

If the areas of two similar hexagons are to each other as 5 : 2, and one side of the first hexagon is 25, what is the correspond

ing side in the other hexagon?
A. 250.00
B. 3.16
C. 15.81
D. 10.00 13.
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
D. 10.0013 

\frac{5}{2} = \frac{25}{x}
Then you have to cross multiply so 25*2=5x
Solve for x. 
50=5x.
50/5=5x/5
10=x
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The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.
mihalych1998 [28]

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

5 0
3 years ago
George filled 10 mugs with coffee. Each mug had 240\text{ mL}240 mL240, start text, space, m, L, end text of coffee. How many li
goldenfox [79]

Answer:

2.4 Liters

Step-by-step explanation:

1,000

1

​

 L1, start text, space, m, L, end text, equals, start fraction, 1, divided by, 1, comma, 000, end fraction, start text, space, L, end text

So, 2,400 mL

​

 

=2,400 mL×

1,000 mL

1 L

​

=

1

2,400

mL

​

×

1,000

mL

1 L

​

=

1,000

2,400 L

​

=2,400 L÷1,000

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4 0
3 years ago
Read 2 more answers
Make g the subject of the formula w= 7 - Vg​
stellarik [79]

Answer:

w=7-vg

Vg=7-w

Vg/v=7-w/v

G=7-w/v

5 0
3 years ago
Read 2 more answers
In a school election, Violet received 156 votes. She got 60% of all the votes. How many total votes were cast? Which equation CA
Dafna1 [17]

Answer:

1) Total votes = 260

2) option (a) CANNOT be used to answer this question

================================================

Step-by-step explanation:

Part (A)

let all the votes = x

Violet received 156 votes which equal to 60% of all the votes

∴ 156 = 60% of x

60% = 60/100 = 0.6

∴156 = 0.6 x ⇒ x = 156/0.6 = 260 votes

Part (B) :

options (b), (c) and (d) can be used to answer this question because they will give the same result of part (A)

<u>While option (a) CANNOT be used to answer this question.</u>

Check the following

a. 0.6 times 156 = x   ⇒  x = 93.6

b. 156 = 0.6x              ⇒ x = 260

c. 156/0.6 = x             ⇒ x = 260

d. 156/x = 60/100      ⇒ x = 260

5 0
3 years ago
Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x2 + 5x − 12 belongs to the interval (-1,
Misha Larkins [42]

Answer:

<em>slope of the tangent</em>

<em></em>\frac{d y}{d x} = 0.2(2 x) + 5 (1)<em></em>

<em>The slope of the tangent to the interval (-1 ,1)</em>

<em>m = 4.6 ,5, 5.4</em>

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given function is  f(x) = 0.2 x² + 5 x − 12

Slope of the tangent formula

                        m = \frac{d y}{d x}

Let y =  f(x) = 0.2 x² + 5 x − 12 ...(i)

Differentiating equation(i) with respective to 'x' , we get

\frac{d y}{d x} = 0.2(2 x) + 5 (1) -0

let x=-1

m = \frac{dy}{dx} = 0.2 (2 X -1) +5 = 4.6

let x=0

m = 5

let x=1

m = \frac{dy}{dx} = 0.2 (2 X 1) +5 = 5.4

<u><em>conclusion</em></u>:-

<em>slope of the tangent</em>

<em></em>\frac{d y}{d x} = 0.2(2 x) + 5 (1)<em></em>

<em>The slope of the tangent to the interval (-1 ,1)</em>

<em>m = 4.6 , 5,  5.4</em>

 

7 0
3 years ago
Read 2 more answers
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