câu 1: cho hình chóp S.ABC có đáy là tam giác đều cạnh bằng a, cạnh bên SB vuông góc với mặt phẳng (ABC) , SB =2a. Tính thể tích khối chóp S.ABC
Câu 2: Cho hình chóp S.ABC với SA, SB,SC đôi một vuông góc và SA=SB=SC +a . TÍnh thể tích của khối chóp S.ABC.

Answers

Answer 1

Answer:

[tex]\frac{\sqrt{3}}{6} a^{3}[/tex] và [tex]\frac{a^{3} }{6}[/tex]

Step-by-step explanation:

Câu 1: V = 1/3.2a.[tex]\frac{\sqrt{3}}{4}[/tex][tex]a^{2}[/tex] = [tex]\frac{\sqrt{3}}{6} a^{3}[/tex]

câu 2: Theo đề bài ta có SA là chiều cao và tam giác đáy SBC vuông tại S (hình chóp S.ABC đổi thành chóp A.SBC)

=> V = 1/3 SA.(diện tích tam giác SBC) = 1/3a.[tex]\frac{a^{2} }{2}[/tex] = [tex]\frac{a^{3} }{6}[/tex]


Related Questions

(w-10x) (w+10x) Use the Identities to solve this question

Answers

We are provided that –

(w-10x) (w+10x)

Applying identity –

a² - b² = (a + b)(a - b)

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]

Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Estimate Tip =  $4.50

Step-by-step explanation:

The bill to the nearest $10  is $30.00 :  ( $ 30 ($32.43) $40, it is nearer to $30

Estimate Tip = Bill rounded to the nearest $10  ×  Tip %

Estimate Tip = $30 × 15%

Estimate Tip = $30 × .15                  (15% change to a decimal is .15)

Estimate Tip = $4.50

An admission ticket costs $7.50 with a 5.75% tax.

Answers

Answer:

Step-by-step explanation:

I’m not 100% sure that it’s the correct answer but this is what my calculator gave me

check attachment for question

Answers

Answer:

[tex]\displaystyle 3x^2 + x[/tex]

Explanation:

All you are doing is combining like-terms:

[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]

I am joyous to assist you at any time.

Please help in this!

Answers

Step-by-step explanation:

Correct option is C)

41−

21+

19−

9

=

41−

21+

19−3

=

41−

21+

16

=

41−

21+4

=

41−

25

=

41−5

=

36

=6

[tex] \sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9} } } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{19 - 3} } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{16} } } \\ = \sqrt{41 - \sqrt{21 + 4 } } \\ = \sqrt{41 - \sqrt{25} } \\ = \sqrt{41 - 5} \\ = \sqrt{36} \\ = 6[/tex]

Answer:

a) 6

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help would be appreciated!

Answers

Answer:

Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.

(I don't know how to calculate the perimeter for the second question)

Answer:

Answer: 28

Step-by-step explanation:

A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.

A stock market fell 40 points each day for
three days. What was the total change in value
after the three days?

Answers

Answer: -120

Step-by-step explanation:

-40 X 3 = -120

This year 120 people signed up for team volleyball. If all the teams had the same number of players, how many people can be on a team?



Select the Hint button to view a hint.

A. 3 or 6 B. 3 or 9 C. 9 or 6 D. 3 or 6 or 9

Answers

Answer:

Hi It is A I just got it right

trust me

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Kate is 11 45
years old. Karina is 1 16
years younger than Kate and Jane is 1 13
years younger than Karina. How old is Jane?

Answers

Kate-1145
Karina-1029
Jane-916

Please help me due in 2 mins!!! Use the picture below to help you answer the question!!!

Answers

Answer: 2952 is what they both equal

Step-by-step explanation: 2*(6)4

Define a variable for the number of cars, and define a variable for the number of vans or trucks. You will need to choose x for one and y for the other.

Answers

Answer:

See below!

Step-by-step explanation:

I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!

You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.

For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:

miles=2x

Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.

Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.

For your question, you could use:

#of cars=x

#of trucks/vans=y

PLEASE HELP!
Question 3 (Essay Worth 10 points)
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answers

Answer:

One pass is $24

Step-by-step explanation:

14+2x=62

-14

2x=48\2

X=24

Answer: The person above's  answer

Step-by-step explanation:

I did the test and it was right

Help asap!! Full work shown gets brainliest!!

Answers

Answer:

2√6

Step-by-step explanation:

1. First, let's solve for the base of the triangle with the help of the Pythagorean Theorem (a^2 + b^2 = c^2).

[tex]5^2 + b^2 = 7^2[/tex] [tex]25 + b^2 = 49[/tex] [tex]b^2=24[/tex] [tex]b = \sqrt{24}[/tex]

2. Now, let's find the factors of 24 and see which one is a perfect square:

1, 2, 3, 4, 6, 8, 12, 24As you can see, the factor that's a perfect square is 4, so in order for it to multiply to 24, the other one has to be 6. [tex]\sqrt{24} = \sqrt{4} * \sqrt{6} = 2\sqrt{6}[/tex]

Therefore, the answer is 2√6.

Answer:

[tex]b=2\sqrt{6}[/tex]

Step-by-step explanation:

The triangle shown is a right triangle.

Because this triangle is a right triangle, we can use they Pythagorean theorem to find the missing side length.

Pythagorean theorem : [tex]a^2+b^2=c^2[/tex]

where a and b = length of legs and c = hypotenuse ( longest side )

we have the hypotenuse ( 7 ) and a leg (5) and need to find the other leg.

So we know that a = 5 and c = 7 and we need to find b

Using the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

a = 5 and c = 7

[tex](5)^2+b^2=(7)^2[/tex]

simplify exponents 5² = 25 and 7² = 49

[tex]25+b^2=49[/tex]

subtract 25 from both sides

[tex]b^2=24[/tex]

take the square root of both sides

[tex]b=\sqrt{24}[/tex]

simplify radical

[tex]b=2\sqrt{6}[/tex]

And we are done!

If similar, state if it’s AA similarity, SSS or SAS similarity

Answers

Answer:

they are not similar

Step-by-step explanation:

MN/VW=16/22=8/11

LN/UW=20/28=5/7

LM/UV=25/35=5/7

there is no information about the angles, you apply SSS but in this situation not all sides are proportional

Data were collected regarding the prices plumbers charge for their services in a certain
area. Most of their charges include a flat fee and then an hourly charge. Based on the
data gathered, the amount, A, a plumber charges for t hours of work can be modeled
by the equation A = 50 + 80t. Which statement is correct?

Answers

Using the linear function, it is found that the correct option is given by:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

C(0) is the flat fee.a is the cost per unit of time.

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

100 pts. & will give brainliest! answer asap

every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.

c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds

d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.

Answers

First we need to differentiate y

[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]

[tex]\\ \sf\Rrightarrow -32x-110[/tex]

Now let it be 0

[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]

[tex]\\ \sf\Rrightarrow -32x=110[/tex]

[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]

[tex]\\ \sf\Rrightarrow x=3.44s[/tex]

Put it in y

[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]

[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]

Which expression is equivalent to 9 x 9 x 9 + 12 x 12 x 12?

Answers

Answer:

i think probably 2457 is answer


I’m very smart. My hair is dark. I love to eat honey, insects, and bark.

Answers

Answer:

the answer to the riddle is black bear

Step-by-step explanation:

hope it helps can I have brain for trying? :))) bless u have a great day/evening

Answer:

the other guy is right it's black bear bears love honey and only one bear is black and thats the black bear

Step-by-step explanation:

The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 50 people.
A. 40 ≤ x ≤ 140
B. 0 ≤ y ≤ 50
C. 40 ≤ y ≤ 140
D. 0 ≤ x ≤ 50

Answers

It is D
You welcome

Solve (u+2)^2+6=69 , where u is a real number.

Answers

Answer:

5.94 and -9.94

Explanation:

Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94

1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?

Answers

Answer:

The second bag is the better deal

Step-by-step explanation:

8÷2.56= $3.13 per potato

10÷ 4.32= $2.31 per potato

What is the measure of

Answers

Answer:

∠B = 82°

Step-by-step explanation:

To find out ∠B, we need to find out what is ∠A. We are given one clue that the outer angle of ∠A is 143°. Can we use this clue and find out ∠A? Let's find out!

=> 180 - 143 = ∠A=> ∠A = 37°

Since we have found ∠A, we can now find ∠B.

=> 61 + 37 + ∠B = 180=> 98 + ∠B = 180=> ∠B = 180 - 98=> ∠B = 82°

Conclusion:

We have finally found out our answer and our answer is '∠B = 82°'.

[tex]GeniusUser[/tex]

Sixteen is 64% of what number?

A. 12
B. 48
C. 32
D. 25

Answers

Answer:

D. 25

Step-by-step explanation:

16 divided by 64% is 25

Answer:

25

Step-by-step explanation:

Hope I helped you.

Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?

Answers

Answer: 40 is the answer

Explanation: He is driving 65 miles an hour so 65+65=130 and you subtract that from 179, so 179-130 and it equals 40

Answer:

you should take notes

Step-by-step explanation:

why you should know this your teacher probally already taught you this already you should go back and take notes = )

Hugo is mixing blue paint with red paint to create purple paint.
The ratio of blue to red is 3 to 2.

How many pints of blue paint will he use to create 40 pints of purple paint?

Answers

Answer:

24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16

Step-by-step explanation:

Give a summary of the lesson what you have learned. about EXPONENTS!!​

Answers

The exponent tells us how many times to multiply a base to itself. The base is, of course, the thing that's being multiplied. When we use exponents, we call it "raising to a power". The power equals to the exponent, so in our example, x is raised to a power of 4.


Or u can use this but the first one is better


Learning about exponents helps students think about and understand expressions. ... Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).

Identify the horizontal asymptote of f(x) =4x/7
y = 0
y = 2/3
y=1
No horizontal asymptote

Answers

Answer:

y = 1

Step-by-step explanation:

To find the Horizontal Asymptote, you have to look at the degree of the numerator and denominator.

[tex]h(x) = \frac{x^n}{x^m}[/tex]

If n < m, then y = 0If n = m, y = coefficient of [tex]x^n[/tex] divided by the coefficient of [tex]x^m[/tex]If n > m, then there is no Horizontal Asymptote

I am asking how this is when I found the median is 14!

Answers

Hi there!

2  3  5  5  9  11  13  14  14  17  20  22  24  28

If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.

Count 6 from both sides and we get the middle two numbers to be:

13  14  

Take the average:

(13 + 14)/2 = 13.5

**This must be done if the amount of numbers given is EVEN.**

Answer:

Step-by-step explanation:

There are an even number of entries that make up the Data Set. (14 entries)

When you have an even number, you take the two entries that are at the center to find the median.

The values at the middle are entry seven which is 13 and entry eight, which is 14.

Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5

Otherwise I think you are correct.

17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer

Answers

Answer:

Option A

Step-by-step explanation:

Let,

Length = 5x

Breadth = 4x

Perimeter = 2(l + b)

=> 144 = 2(5x + 4x)

=> 144 = 2(9x)

=> 144 = 18x

=> 144/18 = x

=> 8 = x

Therefore,

Length = 5x = 5(8) = 40 cm

HELP- I NEED LOTS OF HELP

Answers

Answer:

|279|

Step-by-step explanation:

so when ur doing absolute value you js need distance so lets work with the problem, if ur 279 feet below water u would need to get to zero feet below sea level (ground lvl) to do so how many feet towards ground lvl would u go? (279 clearly) so the distance from how many feet under u are to the ground lvl is ur absolute value.

Tbh in school they over complicate it if u need an absolute number from a negative number like -279 (as it is in the problem) you would js make it a positive (if its positive 279 u js say the absolute value is 279)

(also the absolute value is the distance between the number and zero so yh u can put that)

Other Questions
Total planned expenditure (equals total output) is 14,000 when autonomous consumption expenditure is 450. When autonomous consumption expenditure falls to 400, total planned expenditure (equals total output) is 13,800. The marginal propensity to consume is _______. A) 0.89 B) 0.75 C) 0.99 D) 0.44 For which of the following do you need to change the final y to i before adding the suffix?say + -inghappy + -nessenjoy + -mentplay + -er To what extent does our civil and criminal court systems promote justice? Consider thefollowing: How does our criminal justice system promote due process and maintain orderin society? How does our civil justice system promote fairness for individuals? What do you mean by unit? What are the types of Vitamins and their functions in the body? 8 - Escriba la frmula del siguiente compuesto nitrogenadoDietil benza amida The football coach randomly selected 10 players and timed how long each player took to perform a certain drill. The result has a sample mean of 9.48 minutes and sample standard deviation of 2.14 minutes. Round answers to two decimals. The 95% confidence interval for the mean time for all players is : __________ PLZ HELP I'LL GIVE BRAINY!!!! AND EXPLAINFor this exponential function,what is the output value (y),when the input value (x) is 1?y = 4.3x(1, [?]) Which of the following behaviors would best describe someone who is listening and paying attention? a) Leaning toward the speaker O b) Interrupting the speaker to share their opinion c) Avoiding eye contact d) Asking questions to make sure they understand what's being said describe your classroom using minimum 10 different prepositions A 30-year-old astronaut goes off on a long-term mission in a spacecraft that travels at speeds close to that of light. The mission lasts exactly 20 years as measured on Earth. Biologically speaking, at the end of the mission, the astronaut's age would be:_______.a) exactly 50 years.b) exactly 25 years.c) exactly 30 years.d) less than 50 years.e) more than 50 years. The scores of students on a standardized test are normally distributed with a mean of 300 and a standarddeviation of 40.(a) What proportion of scores lie between 220 and 380 points?(b) What is the probability that a randomly chosen student scores is below 260?(c) What percent of scores are above 326.8 points? What does William find in the library that inspires him to put his dreams of becoming a scientist into action? BOY WHO HARNESSED THE WIND 27Select the correct text in the passage.tragic fate of Romeo and Juliet?Which two lines in this excerpt from Shakespeare's Romeo and Juliet foreshadow theSo FRIAR LAURENCE: So smile the heavens upon this holy act,That after hours with sorrow chide us not!ROMEO: Amen, amen! but come what sorrow can,It cannot countervail the exchange of joyThat one short minute gives me in her sight:Do thou but close our hands with holy words,Then love-devouring death do what he dare;It is enough I may but call her mine.FRIAR LAURENCE: These violent delights have violent endsn And in their triumph die, like fire and powder,Which as they kiss consume: the sweetest honeyIs loathsome in his own deliciousnessAnd in the taste confounds tine appetite:Therefore love moderately; long love doth so;Too swift arrives as tardy as too slow. Taking care of your _____ first is a good budgeting strategy that includes covering your loan payments. Investments, savings, needs, or wants? Traits can also be , which means they can be masked scientist has two solutions, which she has labeled solution a and solution b. solution a is 60% salt and solution b is 85% salt. she wants to obtain 140 ounces of mixture that is 80% salt. How many ounces of each solution should she use? please help. people take my points without answering. 15 points left, please show work. and please dont just take my points 1. What do you think will happen if humans pay no heed towards conservation of soil?2. What contribution you will make to fulfill the vision of UAE leaders to achieve the goal of sustainability?Please answer, Urgently needed! what your name? How are you?