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ASHA 777 [7]
3 years ago
14

Find the surface area of the prism below. Please see attachment and the answer C. 1200cm^2 is incorrect. Thanks!

Mathematics
1 answer:
skad [1K]3 years ago
5 0

Answer: option a

Step-by-step explanation:

You must apply the formula for calculate the surface area of the prism, which is shown below:

SA=bh+2ls+lb

Where:

b=8 cm

h=3 cm

l=10 cm

s=5 cm

When you susbstitute the values shown above into the formula for calculate the surface area, therefore you obtain:

SA=(8cm*3cm)+2(10cm*5cm)+(10cm*8cm)\\SA=204cm^{2}

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Using the converse of Pythagorean Theorem and the law of sines and cosines solve the word problem.
Helga [31]

Answer:

It's the law of cosines

Step-by-step explanation:

law of cosines states that c^{2} =a^{2} +b^{2} -2ab (cos(\alpha ))

so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59

7 0
3 years ago
(6x² + 36x² + 12) ÷ (x+6)
astra-53 [7]

Answer:

=42x2+1

Step-by-step explanation:

6x2+36x2+12x+6

=42x2+1

8 0
3 years ago
A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal
Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51

Thus the shorter diagonal will be 16.51 feet in measure.

3 0
3 years ago
What is 25% off $1099.00
Alecsey [184]
25/100 x 1099=$274.75
Hope I helped.

4 0
3 years ago
Which part of the proof does the fourth statement and reason represent?
denis-greek [22]

Answer:

Option B is correct.

Reason:It is an argument

Step-by-step explanation:

Given: AB \cong BC  and BC \cong EF

By transitive property:  a = b  and b = c then, a =c

⇒AB \cong EF

AB = EF                                [def of \cong segment]

By Segment Addition Postulate states that given  two points A and C, and a third point B lies on the line segment AC if and only if the distances between the  points satisfy the equation

AB + BC = AC.

Since, the line segment EG , F lies on the line segment;

then, by segment addition postulates we have;

EG = EF + FG

By substitution AB=EF

⇒ EG = AB + FG                     hence proved!

Since, in the fourth statement reason is:  It is an argument

3 0
3 years ago
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