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3 years ago

Find two consecutive whole numbers that square root 86 lies between.

Mathematics

2 answers:

melisa1 [442]3 years ago

7 0

Find two consecutive whole numbers that square root 86 lies between.

Alexus [3.1K]3 years ago

3 0

The square root of 86 is 9.2...... Hence, it lies between 9 and 10.

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The base and the height of a triangle are multiplied by 5/4. Which of the following describes the

lions [1.4K]

Answer:

The option that describe the effect of the change is;

The perimeter is multiplied by 5/4

Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

With the application of the scale factor of 5/4, we have;

The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

The scale factor of the perimeter = √(The scale facto of area)

∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

8 0

2 years ago

Read 2 more answers

Javier By 48 cards at a yard sale. Of the cards 3/8 were basketball cards how many cards were baseball card

Hatshy [7]

The answer is 18, Hope you get it right!

3 0

3 years ago

Find the greatest common divisor of 9 and 27

Dimas [21]

<span>

The good answer is 9
(9:9=1 and 27:9=3)</span>

3 0

3 years ago

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x

Pie

Answer:

Vertical movement: Move up 3 units

Horizontal movement: Move left 3 units

Step-by-step explanation:

If your parent equation is $f(x) = 4(2)^{x}$ and your child equation is $f(x) = 4(2)^{x} + 3$ , then it has vertically moved up 3 units.

If your parent equation is $f(x) = 4(2)^{x}$ and your child equation is $f(x) = 4(2)^{x+3}$ , then it has moved horizontally left 3 units.

7 0

3 years ago

Read 2 more answers

Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got = m

So, the number of votes Vivienne received = 3 times (John's share )

= 3 times m = 3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m) = 6 m

Total Votes in the grade 6

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6 = 10 m

$\textrm{The percentage of John's Votes } = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }} \times 100$

= $\frac{m}{10m} \times 100 = 10$

or, The percentage of John's Votes = 10%

Hence, John received 10% of the overall votes.

3 0

3 years ago