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FrozenT [24]
3 years ago
15

The scale factor of two similar solids is 6:13 determine the ratio of their corresponding areas and the volume of the larger sol

id if the volume of the smaller solid is 432in2
Mathematics
1 answer:
maksim [4K]3 years ago
6 0
1. If the scale factor is k=6:13, then the ratio of their corresponding area is k^{2}=6^{2} :13^{2} =36:169;
2. \frac{V_{small\ solid}}{V_{big\ solid}} =k^3= \frac{6^{3}}{13^{3}} = \frac{216}{2197}.
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If 75% is 10 days, how many days is the remaining 25%?
inna [77]

Answer:

10/3 days  or 3 1/3 days

Step-by-step explanation:

Let d = number of days total

75% of the days is 10

.75 d = 10

d = 10/.75

d = 40/3 days

We want to know how man is 25% of d

d * 25%

(40/3) *.25

10/3 days

6 0
2 years ago
Which expression is equivalent to n + n - .18n
wariber [46]

Answer:7500

Step-by-step explanation:

if you divide 15000 and 2 you get 7500.and if you get 7500 you have to multiply to check if its correct so 7500 times 2 equals 15000. So the answer is 7500.

8 0
3 years ago
If x+1 and x-1 are the factors of the polynomial ax^3 + x^2 - 2x +b,find the values of a and b
Nadusha1986 [10]

The polynomial remainder theorem says that dividing a polynomial p(x) by x-c leaves a remainder of p(c)=0 if x-c is a factor of p(x). In this case, check c=-1 and c=1.

a(-1)^3+(-1)^2-2(-1)+b=-a+b+3=0

a(1)^3+(1)^2-2(1)+b=a+b-1=0

From the first equation,

-a+b+3=0\implies a=b+3

and substituting into the second gives

(b+3)+b-1=0\implies2b+2=0\implies b=-1\implies a=2

3 0
3 years ago
Rectangles J and K are similar. If the area of rectangle J is 440, what is the area of rectangle K? I need this today
Hunter-Best [27]

Answer:

Area = 27.5

Step-by-step explanation:

Given

J_{Area} = 440

J_{Width} = 22

K_{Width} = 5.5

<em>See attachment</em>

Required

Determine the area of K

First, we need to calculate the length of the rectangle  J

J_{Length} * J_{Width} = J_{Area}

This gives:

J_{Length} * 22 = 440

Divide both sides by 22

\frac{J_{Length} * 22}{22} = \frac{440}{22}

J_{Length} = 20

So, the length of the rectangle J is 20.

Since both shapes are similar, then:

J_{Length} : J_{Width} = K_{Length} : `K_{Width}

Substitute the known values:

20 : 22 = K_{Length} : `5.5

Express as fraction:

\frac{20 }{ 22 }= \frac{K_{Length} }{ `5.5}

Make Length, the subject of formula

K_{Length} = \frac{5.5 * 20}{22}

K_{Length} = \frac{110}{22}

K_{Length} = 5

The area of K is:

Area = K_{Length} * K_{Width

Area = 5.5 * 5

Area = 27.5

4 0
3 years ago
Whats 3/z = 2/5. Please HELP!! Due in 20 minutes!!!
attashe74 [19]

Step-by-step explanation:

Hey there!!

Given,

\frac{3}{z}  =  \frac{2}{5}

Cross multiply.

15 = 2z

Therefore, z= 15/2

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
Read 2 more answers
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