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musickatia [10]

3 years ago

6

Can anyone help with this?

1 answer:

snow_tiger [21]3 years ago

4 0

Answer:

16

Step-by-step explanation:

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

4 years ago

A new pair of shoes is advertised for $110. The sales tax is 7.5%. What is the total cost of the shoes?

Mashcka [7]

Answer:

118.25

Step-by-step explanation

If the tax is in percent, divide the tax rate by 100. You do this by moving the decimal point two spaces to the left. In this, there's 7.5/100 = 0.0

Find the tax value by multiplying tax rate by the item value:

tax = 110 × 0.075

tax = 8.25

5 0

3 years ago

Plsssssss can you guys help me?

NikAS [45]

D: 657.825
Start by converting 5 1/4 to a decimal. I’m assuming you have memorized 1/4 as a decimal, but if you haven’t yet, it’s 0.25. Add 0.25+5=5.25
One bag covers 125.3 ft square, but we have 5.25 bags. Change the one to 5.25 and multiply by 125.3.
Multiply 5.25x125.3
It equals 657.825
Hope this helps, reach out if you’re still confused!

4 0

2 years ago

Use the Distributive Property to find the following product. -6(4 2/3)

Taya2010 [7]

Multiply 4 and 2 and then multiply that product by -6

7 0

3 years ago

250% of a number is 60. What is the number

katrin [286]

60 / 2.50 = 24

the number is 24

7 0

3 years ago

Read 2 more answers