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2 years ago

30 n Which graph represents a reflection of f(x) = 6(0.5)* across the x-axis? 2 1 2 lt 4 5 6 7 8 m2 3 -7 8 7

Mathematics

1 answer:

Gre4nikov [31]2 years ago

3 0

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

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Use the net to find the surface area of the prism 8in 15in 17in 9in

exis [7]

Answer:

The surface area of the prism is 480 in².

Step-by-step explanation:

Given:

The prism dimensions are 8in 15in 17in and 9in.

Now, to find the surface area:

So, to get the surface area we put formula:

a=8in, b=15in, c=17in and h=9in.

Surface area = 2A+(a+b+c)h.

Whereas, $A=\sqrt{s(s-a)(s-b)(s-c)}$

And, $s=\frac{a+b+c}{2}$

Now, we find s first:

$s=\frac{a+b+c}{2}$

$s=\frac{8+15+17}{2}$

$s=\frac{40}{2}=20.$

Then, we get A :

$A=\sqrt{s(s-a)(s-b)(s-c)}$

$A=\sqrt{20(20-8)(20-15)(20-17)}$

$A=\sqrt{20(12)(5)(3)}$

On solving we get:

$A=\sqrt{3600}=60.$

Now, putting the value of A in the formula to get the surface area:

$Surface area = 2A+(a+b+c)h.$

$Surface area = 2\times 60+(8+15+17)9.$

$Surface area = 120+(40)9.$

$Surface area = 120+360.$

$Surface area = 480\ in^2.$

Therefore, the surface area of the prism is 480 in².

6 0

3 years ago

Can someone PLEASE help me with 4 and 5??? I’m legitimately struggling.

puteri [66]

4) The key here is recognizing that the diagonals of a rectangle are congruent, and that they bisect each other. Therefore, AE = BE, and AE + BE = BD. Substituting, you get $(2x+3)+(12-x)=BD \\ x+15=BD$ .
BD=x+7

5) The sides of a rectangle are parallel to each other. When you draw lines extending the sides, the implications of this become obvious. Suddenly, you have two parallel lines intersected by a transversal, and you probably know those angle relationships. BAC = ACD, so $3x+5=40-2x$ . $x=7$ .

To find AED (I believe there's an easier way, but I'm not sure), see that AED is the supplement of AEB, and AEB is 180° $- 2(BAC) = 180-6x-10 = 170-6(7)=128$ . Therefore, AED is $180-128=52$ .
AED=52°