Mathematics High School

Find the surface area of the triangular prism shown below.

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Answer 1

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Related Questions

Find the volume of the rectangular prism. WA 3yd 3 yd 4 yd

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the answer is going to be 36

. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.

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Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

What are congruent triangles?

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

We can say that two triangles are congruent using these 5 rules:

1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.

2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.

3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.

4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.

5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

Example:-From the diagram, given that:

AB = DE, BC = EF and ∠B = ∠E

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

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Tyler concludes that 5x² will always have a larger output for the same value of x.

Look at the graph below and the table given

Take a random value: x = 0

When 5x², y = 0When 2^x, y = 1

Here, 1 > 0, making 2^x > 5x²

Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.

Disagree with Tyler's point.

No it won't be

Take x =9

2^x=2^9=512

But

5(9)²=5(81)=405

Clearly 2^x surpasses 5x²

So Tyler is wrong

Mason randomly chooses a card from a standard deck or cards What is the probability that it is a face card given that it is a hearts

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25 percent i think or

A survey of birds in Forests A and B counted the number of robins and sparrows. Use the resulting frequency table to find each percentage.
Robins Sparrows Totals
Forest A 9 16 25
Forest B 36 64 100
Totals 45 80 125

percent of birds in Forest B that are robins =
%

percent of sparrows that are in Forest A =
%

percent of birds that are in Forest A =
%

Answers

Answer:

36%20%20%

Step-by-step explanation:

Percentage of birds in Forest B that are robins :

No. of robins in Forest B / birds in Forest B36 / 1000.3636%

Percentage of sparrows that are in Forest A :

Sparrows in Forest A / total sparrows16 / 800.220%

Percentage of birds in Forest A :

Birds in Forest A / Total birds25 / 1250.220%

Answer:

36%

20%

Step-by-step explanation:

Percentage of birds in Forest B that are robins :

No. of robins in Forest B / birds in Forest B

36 / 100

0.36

36%

Percentage of sparrows that are in Forest A :

Sparrows in Forest A / total sparrows

16 / 80

0.2

20%

Percentage of birds in Forest A :

Birds in Forest A / Total birds

25 / 125

0.2

20%

Find the probability.

A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch

Answers

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 15 bottles.

5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

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Please help me with my math please .?

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Answer:

Step-by-step explanation:

This is the required answer.

Need some help! Please be specific.

Write a system of equations to represent the following word problem:
ASB sold 340 raffle tickets. Advanced tickets cost $2 each and same-day tickets cost $3 each. If a total of $810 was collected, how many of each type of ticket was sold?

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Answer: 210 advanced tickets were sold. 130 same day tickets were sold.

Step-by-step explanation:

x= advanced tickets y=same day tickets

2x+3y=810 this equation represents the money

x+y=340 this equation represents the total number of tickets

x+y=340

-x -x

y=-340-x 2x+3(340-x)=810 210+y=340

2x+1020-3x=810 -210 -210

-x+1020=810 y=130

-1020 -1020

-x=-210

-1 -1

x=210

line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while dterming her equation and include the correct equation in your answer

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The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

What is Tahila's mistake?

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5 = a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

If you want to learn more about linear equations:

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What type of sampling is described in this study?
A company that sells hair-care products wants to
determine if a product that combines shampoo and
conditioner works better than a shampoo and
conditioner used separately. A researcher recruits 60
volunteers and pairs them according to age, hair color,
and hair type. For each pair, the researcher flips a coin
to determine which volunteers will use the
shampoo/conditioner combination and which ones will
use the separate shampoo and conditioner. After using
the products for one month, the subjects are asked to
rate their satisfaction with the hair products on a scale
of 1-10 (1 = highly dissatisfied and 10 = highly
satisfied). What type of sampling is described in this study?
one sample
paired data
two samples
more than two samples

Answers

The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

What is a paired data test?

A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.

For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.

Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.

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Select the correct answer. what are the solutions of this quadratic equation? 6x2 6 = 12x 18 a. b. c. d.

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Answer:

Step-by-step explanation:

I don't think you asked this question right but I believe A is the answer to your question "What are the solutions of this quadratic equation? 6x2 + 6 = 12x + 18" (fixed)

if these are the options, then I think its A

Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?

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Answer:

y²+x-7=-x+37

Step-by-step explanation:

im a pickle morty its the funniest thing ive ever experienced

Answer:

Step-by-step explanation:

Work out length of BC

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Answer:

assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]

by phytagorean theorem

[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]

[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]

★ 1st let's know what is the given figure is and it's related concepts for solving !

➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.