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2 years ago

Help me please I need it

Mathematics

1 answer:

True [87]2 years ago

7 0

Answer:

Step-by-step explanation:

In order to find the cost of the wallpaper per square foot, we must do 700.92 divided by the area of the wallpaper.

Area = length times width

Area of wallpaper = 12*9=108

700.92/108 = 700.92/108 = 6.49

The cost per a square foot is $6.49, so the answer is A.

Hope this helps :)

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write the word sentence as an inequality a number b multiplied by -5 is at most -3/4 the inequality is ?

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Answer:

b×-5≤-3/4

Step-by-step explanation:

if its at most that means b times -5 is less or equal. (also remember the line under the inequality symbol)

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Solving quadratic equations with complex solutions x2 + 4x + 8 = 0.

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$\large\boxed{x=-2\pm2i}$

Step-by-step explanation:

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3 years ago

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alexandr1967 [171]

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A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude

I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

<u>Heron's </u><u>Formula</u>

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

$\sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}$

where ( s ) :

$\sf \longrightarrow s = \dfrac{a + b + c}{2}$

Therefore, for the given triangle first we will calculate ( s )

$\begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}$

Now, Area of triangle will be:

$\begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}$

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

$\begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}$

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Which of the following is the method used to determine whether or not a proportion is true?

sdas [7]

Answer:

Cross multiplication is the method used to determine whether or not a proportion is true.

Explanation:

If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

Cross multiplication is the method used to determine whether or not a proportion is TRUE.

For example, if a bowl of fruit contains 10 oranges and 8 lemons, then the ratio of oranges to lemons is 10 is to 8 (that is, 10 : 8 ), which is equivalent to the ratio 5:4).

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