In his science class, Boris conducted an experiment in which he used a glass prism to make a rainbow. He now wants to find the surface area of the prism. His teacher gets him a paper model of the prism and spreads it into a flat shape called a net. Boris can see that the net has exactly the same number of faces as the prism. The teacher tells Boris that he can use this net to find the surface area of the prism. Use this image of the net of the prism that Boris’s teacher drew to answer the questions in this activity.



Part A
What is the area of triangle i? Show your calculation.

Part B
Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii? Show your calculation.

Answer:

(1, 3 )

Step-by-step explanation:

Choose any value of x, substitute into the equation for y

Choose x = 1 , then

y = 2(1) + 1 = 2 + 1 = 3

Then (1, 3 ) is an ordered pair on the line

Answer:

I'm not very sure about this one what icing in probably not going to be right but what I think is that they're not the same because look at the size difference imagine putting an adult's next to a baby that's kind of what it's like the bigger quadrilateral is also the adults while the little one is the baby what do you think about that I probably think that they're not saying

Step-by-step explanation:

sorry I gave it to you in my answer

Answer: 2,100 tickets

Step-by-step explanation:

105 people have arrived for the concert yet it is said that 95% of people are yet to arrive. This means that the 105 people are 5% of the tickets sold.

Assume the total number of tickets sold is x:

5% * x = 105

0.05x = 105

x = 105 / 0.05

x = 2,100 tickets

Answer:

2100

Step-by-step explanation:

x= 2,100

5% x = 105

0.05x = 105

x = 105/0.05

Answer:

fact

Step-by-step explanation:

.................

Answer:

#3 and 6 from what I can see are correct

Step-by-step explanation:

Step-by-step explanation:

Factor 98n2−200

98n2−200

=2(7n+10)(7n−10)

Answer:

2(7n+10)(7n−10)

21.0

pls mark me in brainliest

Given:

A TV and Washing machine were purchased for Rs 15000 each.

Together, they are sold at Rs 35000.

To find:

The profit and profit%.

Solution:

A TV and Washing machine were purchased for Rs 15000 each. So, the total cost price is

[tex]C.P.=15000+15000[/tex]

[tex]C.P.=30000[/tex]

Together, they are sold at Rs 35000. So, the selling price S.P. is 35000.

Now,

[tex]Profit=S.P.-C.P.[/tex]

[tex]Profit=35000-30000[/tex]

[tex]Profit=5000[/tex]

And,

[tex]Profit\%=\dfrac{Profit}{C.P.}\times 100[/tex]

[tex]Profit\%=\dfrac{5000}{30000}\times 100[/tex]

[tex]Profit\%=\dfrac{50}{3}[/tex]

[tex]Profit\%\approx 16.67[/tex]

Therefore, the profit is Rs. 5000 and the profit percent is 16.67%.

Answer:

5

Step-by-step explanation:

The exponent (the number above 4) shown is 5

Answer:

10 hours

Step-by-step explanation:

The total number of hours the water is expected to reach a depth of 28 feet the second time is 2 hours and this can be determined by using the given data.

Given :

Substitute the value of y = 28 in the given function in order to determine the total number of hours water expected to reach a depth of 28 feet the second time.

[tex]\rm 28 = 7cos\dfrac{\pi x}{6}+25[/tex]

Subtract 25 on both sides in the above function.

[tex]\rm 3= 7cos\dfrac{\pi x}{6}[/tex]

Divide on both sides by 7 in the above expression.

[tex]\rm \dfrac{3}{7}= cos\dfrac{\pi x}{6}[/tex]

Further, simplify the above expression.

[tex]\rm 64.62= \dfrac{\pi x}{6}[/tex]

Cross multiply in the above expression.

[tex]\rm x = \dfrac{64.62\times 6 }{\pi}[/tex]

To convert into radian multiply the above expression by [tex]\pi/180[/tex].

[tex]\rm x = \dfrac{64.62\times 6 }{\pi}\times \dfrac{\pi}{180}[/tex]

x = 2.42 hours

x [tex]\approx[/tex] 2 hours (round off to the nearest hour)

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

Step-by-step explanation:

For the single triangle

sin60=h/14, h=14sin60

cos60=b/(2(14)), b/2=14cos60 so the total area is nhb/2 where n is the number of sides

A=n(14sin60)(14cos60), since n=6

A=6(14sin60)(14cos60)

A=114.75cm^2

The hexagon is divided into 6 equal triangles. Then the area of the base of the pyramid is 509 square cm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The base of a regular pyramid is a hexagon.

The hexagon is divided into 6 equal triangles. Then the height of the triangle will be

[tex]\rm a = 14 \sin 60^o\\\\a = 12.12[/tex]

Then the area of the triangle will be

[tex]\rm Area \ of \ triangle = 0.5 \times 14 \times 12.12\\\\Area \ of \ triangle = 84.84 \ cm^2[/tex]

Then the area of the base of the pyramid will be

[tex]\rm Area \ of \ base \ pyramid = 6 \times Area \ of \ triangle\\\\Area \ of \ base \ pyramid = 6 \times 84.84\\\\Area \ of \ base \ pyramid = 509.04 \approx 509 \ \ cm^2[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

boiiiiiiii

Step-by-step explanation:

[tex]224742...[/tex]

Answer:

r = 33

s = 18

Step-by-step explanation:

Given expression is [tex]\frac{6+\sqrt{27}}{4-\sqrt{3}}[/tex].

Multiply numerator and denominator with the conjugate of (4 - √3).  

[tex]\frac{(6+\sqrt{27})(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}[/tex]

= [tex]\frac{4(6+\sqrt{27})+\sqrt{3}(6+\sqrt{27})}{4^{2}-(\sqrt{3})^2}[/tex]

= [tex]\frac{24+4\sqrt{27}+6\sqrt{3}+\sqrt{81})}{16-3}[/tex]

= [tex]\frac{24+12\sqrt{3}+6\sqrt{3}+\sqrt{81})}{16-3}[/tex]

= [tex]\frac{24+18\sqrt{3}+9}{13}[/tex]

= [tex]\frac{33+18\sqrt{3}}{13}[/tex]

Now compare this expression with [tex]\frac{r+s\sqrt{3} }{13}[/tex]

r = 33

s = 18

Answer:

92.5%

Step-by-step explanation:

Answer:

20 percent

Step-by-step explanation:

50/250=1/5= 20 percent

if my answer helps please mark as brainliest.

Answer:

Step-by-step explanation:

200 miles

Answer:

-2.35

Step-by-step explanation:

Divide -4.7/2 = -2.35

Answer:

5/4kg

Step-by-step explanation:

Given data

Weight of apples bought by Neetu=  3 ¾ kg

Weight of apples bought by  Naren=  2 ½ kg

From the numbers/weights above, Neetu bought more apples

=3 ¾ kg to simple fraction

= 15/4 kg

=2 ½ kg kg to simple fraction

= 5/2 kg

The difference is

=15/4-5/2

=15-10/4

= 5/4kg

Hence  Neetus Apples is 5/4kg morethan Narens Apples

Answer:

Width=11

Length=16

Step-by-step explanation:

P=2L+2W

54=2(5+w)+2w

Open the brackets

10+2w+2w=54

10+4w=54

Collect the like terms

4w=54-10

4w/4w=44/4

W=11

Since the length is 5m longer

Therefore:11+5=16

Width=11

Length=16

Answer:

Step-by-step explanation:

this awnser is 73 92 837

Answer:

6.35= 5.12+x

6.35-5.12= x

$1.23 =x

Answer:x=-7

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Step-by-step explanation: Hope this helps!

-zomba

Answer:

52

Step-by-step explanation:

so all of the angles added together will equal 180 and if angle qrt and angle srt are congruent then they are equal to each so first we subtract 76 from 180 and get 104. then we divide it by 2 because the two missing angles are congruent. 104/2=52 so h and j =52

Answer:

c√a^b the first option is the correct one

Answer:

15 mph

Step-by-step explanation:

You need to find how much each side of the table is changing each time and change that into a fraction. In this example, the change in time is .5 hours. Repeat with the other side to get 12.5 miles. Next you change it into a fraction with the distance over the time to get 12.5/.5. Type this into the calculator to get the answer which is 15 mph.

Answer:

$3.4

Step-by-step explanation:

90 percent of 34 is 30.6

34-30.6=3.4

Answer:

$3.40

Step-by-step explanation:

Answer: sorry pressed the wrong button

Step-by-step explanation:

✅Mean:

➡️Sum of total numbers/Total numbers

3+5+6+7+9+6+8 / 7

44 / 7 = 6.285

MARK ME AS BRAINLIST IF THE ABOVE ANSWER HELPS U♥️♥️♥️....