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Art [367]
3 years ago
14

What is the area of triangle EDF?

Mathematics
1 answer:
Ann [662]3 years ago
6 0

Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

9/2 = 4.5

So the area is 4.5

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Alisiya [41]
Do a ratio problem:
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3 years ago
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Viktor [21]

Answer:ok

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. Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 - 5x - 24 = 0
Viefleur [7K]

Answer:

(x+3)(x-8)=0

Step-by-step explanation:

First, write out the equation as it is given in the problem:

x^{2}-5x-24=0

Now, you have to split up the "-5x" to get to factored form.  The way to do this is to look for <em>the factors of "a" times "c" that sum to "b"</em>:

So, in this problem, a=1, b=-5, and c=-24.  So, find the factors of (1*-24) that sum to (-5). To clarify, (1*-24)=-24, so you have to find factorsof -24 that sum to -5.

Let's write out a list of factors.

1,-24---1+-24=-23no\\-1,24---1+24=23no\\2,-12---2+-12=-10no\\-2,12----2+12=10no\\3,-8---3+-8=-5yes

Therefore, our two factors will be 3x and -8x.

Now, let's rewrite our equation with these new factors in place of the -5x:

x^{2}-5x-24=0\\x^{2}+3x-8x-24=0

Next, find your factored expressions:

x^{2}+3x-8x-24=0\\(x^{2}+3x)(-8x-24)=0\\

Take the GCF from each set of parenthesis:

x(x+3)-8(x+3)=0

The GCFs that you took out will become your second in the set for factorde form.  It will be written as "x-8".

Therefore, your equation in factored form will be:

(x+3)(x-8)=0

3 0
3 years ago
Can anybody do all of number 1??
MAXImum [283]

Answer:

You use the formulas for the shapes

Cylinder= 2×π×r×h+2×π×r²               π×r²×h

Cone= \pi*r(r+\sqrt{ h^{2} +r^{2}} )           π×r²×\frac{h}{3}

Square Prism= 2×a²+4×a×h                       a²×h

                            ↑a=base edge

Step-by-step explanation:

                           Surface Area  Volume

Cylinderical Head   ≈282.74                   ≈314.16  

Conical Hat                     ≈170.13                     ≈78.54

Right Cylinder Torso      ≈471.24                     ≈785.4  

Right Cylinder Arm         ≈56.55                      ≈25.13

Square Prism Leg           =224                           =192

6 0
4 years ago
The formula for the pH of a solution of hydronium ions is given by the logarithmic equation pH=-log​ [H3O+​], where ​[H3O​+] is
levacccp [35]

Answer:

3.5

Step-by-step explanation:

The formula for the pH of a solution of hydronium ions is given by the logarithmic equation pH=-log​ [H3O+​], where ​[H3O​+] is the hydronium ion concentration. Find the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10^-4

We have the Logarithmic equation

pH=-log​ [H3O+​],

We have the hydronium ion concentration = 3.2 x 10^-4

Hence,

pH = - log[3.2 × 10 ^-4]

pH = 3.4948500217

Approximately

pH = 3.5

Therefore, the pH of a certain agricultural product with the hydronium ion concentration of 3.2 x 10^-4 is 3.5

7 0
3 years ago
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