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Andre45 [30]
2 years ago
12

The equilateral triangles shown below are similar.

Mathematics
1 answer:
Drupady [299]2 years ago
4 0

Answer:

Below in bold.

Step-by-step explanation:

The smaller one has side 2 and the corresponding side on the larger one is 5, so the answer is 2/5.

The  individual sides and perimeter are one-dimensional, so:

The ratio of their perimeters is the same 2/5.

The ratio of their areas ( which is 2 dimensional) is 2^2/5^2 = 4/25.

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What is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4
givi [52]

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

f(x)=x^4-2x^3-27x^2-9x+18

And we want to find the remainder after it is divided by the binomial:

x+4

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).

Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).

Therefore, <em>a</em> = -4.

Then according to the PRT, the remainder will be:

f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6

The remainder will be 6.

4 0
3 years ago
I am a three-digit number. My second digit is 4 times bigger than the third digit. My first digit is 3 less than my second digit
labwork [276]

Answer:

285

Step-by-step explanation:

use algebra

third is x

second is 4x

first is 4x-3

x+4x+4x-3

9x-3 = x+x+1+x+2

9x-3=3x+3

12x=6, divide x=2

third is 2, sec is 8, first is 5

3 0
3 years ago
An adidas hat that has a regular price of $15.50 and is discounted 25%
lutik1710 [3]
A) $11.63
B) 7.5% tax on something that is $11.63 would be $.87225
C) total cost with sale and tax would be $12.50
3 0
3 years ago
Read 2 more answers
mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for
frez [133]

mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest​ .

<u>Step-by-step explanation:</u>

Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest​ . Let's find out:

Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.

⇒ \frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600

⇒ \frac{8000(12)+2000(8)}{100}(x) =5600

⇒ (80(12)+20(8))(x) =5600

⇒ (960+160)(x) =5600

⇒ (1020)(x) =5600

⇒ x =\frac{5600}{1020}

⇒ x =5.5

Therefore , mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest​ .

6 0
3 years ago
A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negati
Alik [6]

Answer:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

Step-by-step explanation:

A) (-1’,1‘)

B) (-1’,-2’)

C) (3’,-2’)

D) (3’,2’)

5 0
3 years ago
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