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3 years ago

Which expression is the best estimate of 1/5 times 24.5

Mathematics

1 answer:

butalik [34]3 years ago

8 0

Answer:

Step-by-step explanation:

1.2 x 3.7 nearest tenth

1 x 4 nearest whole number

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What will be the unit digit of the square of 7992

Alina [70]

Answer:

Step-by-step explanation:

Here you need not completely solve 7992 squared. You can just take the last digit which in this case is 2 and solve for the square of that digit. 2 x 2 = 4. Now if it was a bigger digit which would result in a two digit number when squared you would take the last digit of that number. But, we don't need to do that here since 2 squared is 4.

7 0

3 years ago

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

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Alonzo deposits 300 into an account that pays simple interest at a rate of 4% per year . How much interest will he be paid in th

uranmaximum [27]

Answer:

1200 was is interested in the first 4years

5 0

3 years ago

Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.

Zarrin [17]

Answer:

Step-by-step explanation:

(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64

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3 years ago

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WILL GIVE BRAINLESS factor the polynomial

Svetach [21]

Answer:

Step-by-step explanation:

This is factor by grouping. In factor by grouping, write a quadratic trinomil as 4 terms and group by parenthesis. Then factor by GCF in each pair. If the two parenthesis match, the factoring has worked and the factors will be the GCFs as one and the parenthesis as one other.

The factors here are the GCFs $2x^2$ and -3 as $(2x^2-3)$ and the parenthesis (x-5).

4 0

3 years ago