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1 year ago

The length of the base of a triangle is twice its height. If the area of the triangle is 16 square kilometers, find the height.

Mathematics

1 answer:

ValentinkaMS [17]1 year ago

3 0

Answer:

Step-by-step explanation:

Area of a triangle = bh/2

B = 2h

16 = 2h × 2/2

h×2 = 16

2h = 16

* put a square root on both sides then u will get the answer which is

Height of the triangle = 4

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9(5x + 1) ÷ 3y

alexdok [17]

The expression obtained after solving the given expression is, $\rm \frac{(15x+3)}{y}$

<h3>What is a BODMAS rule?</h3>

For the Bracket, Order, Division, Multiplication, Addition, and Subtraction rules, BODMAS stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Given expression ;

9(5x + 1) ÷ 3y

Follow the BODMAS rule;

Step 1; Divide

$\rm \frac{9(5x+1)}{3y} \\\\ \frac{3(5x+1)}{y} \\\\$

Step 2; Multiply

$\rm \frac{9(5x+1)}{3y} \\\\ \frac{(15x+3)}{y} \\\\$

Hence the expression obtained after solving the given expression is, $\rm \frac{(15x+3)}{y}$

To learn more about the BODMAS rule, refer to brainly.com/question/23827397.

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1 year ago

Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

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2 years ago

Melody works at a local Burger King restaurant. Her regularly hourly wage is $9.70. If she regularly works 40 hours per week, wh

Brut [27]

Answer: $20, 176

Step-by-step explanation: All you have to do is multiply how much she gets paid per hour by the number of hours that she works so it would just be 9.70*40 which equals 388. Then you have to multiply that answer by the number of weeks in a year so it would be 388*52 and your final answer would be $20, 176.

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3 years ago

Read 2 more answers

Which of the following is equivalent to 1/8?

neonofarm [45]

Answer: 1 to 8
Reason: because there’s 1 of 8 items is the same ratio

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2 years ago

If y varies directly with x, with k=0.75,what is the value of y when x=12

erma4kov [3.2K]

Answer:

Step-by-step explanation:

y=x

y=kx

substitute k for 0.75 and x for 12 in the above equation

y=0.75×12

y=9

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2 years ago