If the base of a triangle is 3 and its height is 4, then its area is 6. This triangle has an area of 6, so its base is 3 and its height is 4

Valid or invalid

Answers

Answer 1

9514 1404 393

Answer:

  invalid

Step-by-step explanation:

There is more than one set of dimensions that will give a triangle with an area of 6. The fact that the area is 6 implies nothing about the dimensions (except that their product is 12).

The converse is invalid.

Answer 2

Answer:

The first sentence is valid but the second one is invalid.

Step-by-step explanation:

You can't say just because the area of the triangle is 6, its base is 3 and its height is 4, it might have a base of 1 and a hight of 12 so there are more than one answers for the second one.

Feel free to message me if you still have questions :)


Related Questions

HELP! (25 points) i think i might know the answer

Answers

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Someone plz help me and show the work 10 points!

Answers

Answer: 76 degrees

In order to solve for the ? Angle you can use inverse tangent with our given sides
The original equation for inverse tangent is tan^(angle)=opposite/hypotenuse, so plug the values in, and isolate the angle by dividing tangent. Then solve on a calculator and let x=?; tan^-1(40/10) which is equal to 75.96375653 which is approximately 76 degrees

Answer:

78°

Step-by-step explanation:

you have to add it up and then divide after multiply

Instructions: Find the missing segment in the image below plz help me

Answers

Answer:

56

Step-by-step explanation:

that is the procedure above

The missing segment in the image below is 8.

The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.

missing [tex]segment^2[/tex] = [tex]4^2[/tex] + [tex]5^2[/tex]

missing [tex]segment^2[/tex] = 16 + 25

missing [tex]segment^2[/tex] = 41

missing segment = √41

Therefore, the missing segment is √41.

Here are the steps in detail:

Identify the small triangle that is formed by the two red lines and the green line.

Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.

Substitute the known side lengths into the Pythagorean Theorem.

Solve for the length of the missing segment.

To learn more about segment here:

https://brainly.com/question/12622418

#SPJ2

Need help on this!!! 6 points!!!

Answers

Answer:

it appears to be  FALSE....

f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x

h(32-5x) = 6(32-6x)

= 192 - 36x

Step-by-step explanation:

Which expression is equivalent to
36÷3+3

a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3

Answers

D, 2^2+3x3. I know because I do (more text to add)

Which polynomial represents the sum below?
7x9.5x*-**8
5x 0.9x**
A. 5x10.7x8 + 5x5.9x+16
B. 5x10 + 7x8 + 5x5 + 8x+ 16
C. 12x18+1474+8x+ 16
D. 12/16 + 4X4+ 7x+ 16

Answers

Fthgrguhh be duestaTsyksrylzyUzbmjgxutlsulvszntz& jgzzgxj

A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.

Answers

Answer:

y = 5/4x-15

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 5/4x+b

Substitute the point into the equation and solve for b

-5 = 5/4(8)+b

-5 = 10+b

Subtract 10 from each side

-5-10 = b

-15 = b

y = 5/4x-15

Step-by-step explanation:

y-y'=m(x-x')

y-(-5)=5/4(x-8)

y+5=5x/4-10

4(y+5)=4(5x/4)-10(4)

4y+20=5x-40

4y-5x=-40-20

4y-5x=-60

5x-4y-60=0

y=5x/4-15

If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc

Answers

It gonna be 10 boss

What are the solutions to the quadratic equation below?

Answers

I am pretty sure the answer is C.
c is the right answer. Great job!




Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.

Answers

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]

                              = [tex]\frac{88}{21}[/tex] x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

Given JIH~ LMN. what is the value of LN?

Answers

Answer:

7 units

Step-by-step explanation:

In similar triangles, corresponding sides are same ratio.

[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]

Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost

Answers

C(b) = 2.75b + 10

This is based of the f(x) = mx + b formula, where m is the slope, x is the variable (or input) and b is the y intercept. In this circumstance the slope is 2.75, so we change m for 2.75. The variable is the amount of books so we change it for b (like it says in the word problem), and and 10 is the starting cost, so it’s the y intercept, so we change b for 10.


Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

which quadratic function has zeros of -4 and 7

Answers

Thank You! Hope it helps! Please mark me brainliest!


Add. State the sum in simplest form.
6/5x + 7/3y

Answers

Answer:

6x/5 + 7y/3

Step-by-step explanation:

Answer:

3.53xy

Step-by-step explanation:

I’m probably wrong but give it a try I think


Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

y = -1

-1 because that's where the point is on the y-axis.

Help me pls‼️‼️‼️❤️❤️

Answers

Answer:

= 50%

Step-by-step explanation:

There is one point, random number = 1

There are two circles, sample space = 2

[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]

Answer:

25%

Step-by-step explanation:

1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex]   [tex]A = \pi 1^{2} = \pi[/tex]

2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage

3.  0.25 = 25%

Which days are part of line BE?

Answers

Answer:

B) Rays AB and AE

Step-by-step explanation:

Though A-F, A-D, and A-C all meet at one point on line B-E, point A, they aren't a part of it. Point A on line B-E marks the "midpoint" of it, and therefore, ray A-E and A-B are part of line B-E.

Translate this sentence into an equation.
The sum of 22 and Greg's savings is 65.
Use the variable g to represent Greg's savings.

Answers

Answer:

22+g=65

Step-by-step explanation:

take the 22 add (sum) to g (the variable) and have them = 65

Need helppppp asapppppppppp

Answers

Answer:  Choice A

x = 19, RZ = 49, and RT = 98

====================================================

How to get that answer:

Z is the midpoint of RT. This midpoint splits segment RT into two equal pieces RZ and ZT

RZ = ZT

4x-27 = 49

4x = 49+27

4x = 76

x = 76/4

x = 19

So far, we can see that the answer is either choice A or choice D.

------------------

If x = 19, then

RZ = 4x-27

RZ = 4*19-27

RZ = 76 - 27

RZ = 49

Which points us to Choice A as the final answer

-------------------

We could skip the second section entirely because we initially set RZ equal to ZT, and ZT was 49. However, I showed that section to help confirm that we had the correct x value.

Also,

RT = RZ + ZT

RT = 49 + 49

RT = 98

Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?

Answers

Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.

Total amount of money

First you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.

So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:

6 video games* 27 dollars each game= 162 dollars

So Tyrell spends 162 dollars.

Money left over after buying the video games.

On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.

This indicates that after spending $ 162 on video games, there were $ 379 left over.

Money he started with.

To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:

162 dollars + 379 dollars= 541 dollars

So, Tyrell started with $541.

Learn more with this similar examples:

https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResults

Tyrell started with 541 $

There are two actions in the question.

First Tyrell bought 6 video games, each game cost 27 $.

Spent

According to that Tyrell spent

6 * 27 = 162 $

Keeps

The second fact is that after shopping Tyrell keeps 379 $.

If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has

Now if we call "x" the quantity of money Tyrrel started with: Then

x  =  the money Tyrell spent on video games  plus the remaining 379 $

Then

x  =  162  + 379

x = 541 $

Find the next three terms in the geometric sequence -3, 9, -27, 81, ...

Answers

-243, 729, -2,187, r= -3

Answer:

...-243, 729, -2187

Step-by-step explanation:

-3, 9, -27, 81, -243, 729, -2187

Everytime ×(-3)

-3×(-3)=9

9×(-3)=-27

-27×(-3)=81

Etc.

Plz help!! I need it ASAP

Answers

Answer:

you save $500 for 7 years at 6% compounding continuously

what is the final value...

A = $500 [tex]e^{.06(7)}[/tex]

Step-by-step explanation:

Which system is equivalent to y=-2x^2 y=x-2

a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2

Answers

Answer:

answer C

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]

The triangle below is equilateral. Find the length of side 2 in simplest radical form
with a rational denominator.
x
Submit Answer
Answer: 2
attempt 1 out of 2
PLS HELP

Answers

Answer:

[tex]x=\frac{4\sqrt{3}}{3}[/tex]

Step-by-step explanation:

From the figure attached,

ΔABC is an equilateral triangle.

Therefore, by the property of the equilateral triangle,

Measure of each angle = 60°

By applying tangent rule in the right triangle ADC,

[tex]\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\sqrt{3}=\frac{4}{x}[/tex]

[tex]x=\frac{4}{\sqrt{3}}[/tex]

[tex]x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }[/tex]

[tex]x=\frac{4\sqrt{3}}{3}[/tex]

At a homecoming pep rally, one student will win free tickets to the homecoming dance. There are 2,400 students attending the pep rally. The student council wants to pull the winning student’s name from a container with the school’s mascot on it. Unfortunately, the container only holds 600 names.

Which method can the student council use to ensure each student has a fair chance of winning?

A.
Randomly assign the 2,400 students to four equal groups. Select a group at random and put all the names from that group in the container. Randomly select the winner from the container.
B.
Put the names of the first 600 students who arrive at the pep rally in the bag. Randomly select the winner from the container.
C.
Select a section of the bleachers and only put the names of students sitting in that section in the container. Randomly select the winner from the container.
D.
Select a grade and only put the names of students from that grade in the container. Randomly select the winner from the container.

Answers

Answer:

A

Step-by-step explanation:

Answer A. Logically speaking there is no fair chance unless they use all the names but we can rule out C by the higher chance of students crowding, B is less likely as selecting winners from students who arrive first would be nearly the same as who bought their tickets first. D, selecting a grade excludes (estimating) around 1500 students or more from being included. A is the only logical answer left and by dividing them randomly you give everyone a full chance.

Please solve #5 and explain how you solved it

Answers

the answer is y = -2x + 10
2x + y = 10
Subtract 2x from both sides of equation.
y = 10 - 2x
Now put in slope intercept form.
y = -2x + 10
The 2 is negative. The sign stays with it.
Same for the 10. It’s positive and the sign stays with it.

Write the y-intercept of the line

Answers

Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.

Hope this helps :)

Step-by-step explanation:

Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin of error smaller.

Answers

Step-by-step explanation:

First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.

It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.

solve 3-x/2 less than or equal to 18

Answers

Answer:

x ≥ -30

Step-by-step explanation:

The equation is 3 - x / 2 ≤ 18.

First, subtract 3 on both sides:

- x / 2 ≤ 15.

Multiply by -2 on both sides and swap the less than or equal to sign:

x ≥ -30

Hope this helps!

mr. Patel travelled from Delhi to Mumbai by road in his car. a). If he travelled in his car 770 km over 22 days, then how many kilometres did he travel in one day?b). A litre of petrol takes Mr Patel’s car a distance of 14 km. How many litres would he need to go 840 km?C). Mr Patel is carrying 326 boxes of sweets in the boot of his car. If each box contains 25 sweets, how many sweets are there in his car?

Answers

Answer:

a. 35 Kilometres.

b. 60 litres.

c. 8150 sweets.

Step-by-step explanation:

Given the following data;

Distance traveled = 770 kmNumber of days = 22 days

a. To find how many kilometres he traveled in one day;

770 km = 22 days

X km = 1 day

Cross-multiplying, we have;

22X = 770

X = 770/22

X = 35 Kilometres.

b. To find how many litres he would need to go 840 km;

1 litre = 14 kilometres

X litres = 840

Cross-multiplying, we have;

14X = 840

X = 840/14

X = 60 litres.

c. To find how many sweets are there in his car;

Number of sweet box, Ns = 326 boxes

Number of sweets in each box, Sw = 25 sweets

Total number of sweets = Ns * Sw

Total number of sweets = 326 * 25

Total number of sweets = 8150 sweets.

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