A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the total area, is square centimeters, of the shape?

Answers

Answer 1

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120


Related Questions

Find the lateral surface area of the
cylinder 7mm 19mm. Round your answer to the nearest tenth

Answers

We can use the lateral surface area equation 2πrh. Assuming π = 3.14 we can plug all of the information into the equation to get 2 * 3.14 * 7 * 19.

multiplying everything you get 835.24, rounded to the nearest tenth is 835.2

50 paise × 1000 give your answer in rupees​

Answers

Answer:

10 rs

Step-by-step explanation:

I hope it's helpful for you

Question 3 on math!
Please help me 15 points

Answers

Answer:

2nd one

Step-by-step explanation:

if you were to look on a grid the slope would point up

f f(x) = x³ - 2, find f(3)

Answers

Answer:

Simply substitute the value of 3 given. In other words, f(3) is the function of f(x) , however, in this case, x is 3. f(3)=3(3)−4.

what type of angle is this?

Answers

Answer:

This is an acute angle since it measures less than 90 degrees.

if there is a 12 percent chance to get something and you need to get 90 of those things how many tries would it take?​

Answers

102 tries probably because 12 + 90 = 102

The square of a negative number is 8 more than 2 times the negative number. Find the number. The number =

Answers

Answer:

the number = -23 because there are different ways to do this don't bother

Determine whether each statement correctly describes the likelihood of an event based on the given number cube. Select True or
False for each statement.
True or False

Answers

The statement that correctly descrives the likelilhood of an event based on the given numbered cube is: Option A: It is likely that a number less than 6 is occured.

How to decide the likelihood of an event?

Suppose that for a considered sample space, we consider an event E

Then, E is likely to occur if:

[tex]P(E) \geq P(E')[/tex]

where [tex]E_i '[/tex] is complementary event of E (ie, E'  occurs whenever E doesn't occur and vice versa)

If so, then we say that E is likely to occur as the outcome of the considered random experiment, else unlikely.

Since we have:

[tex]P(E) = 1- P(E')[/tex] due to E and E' being complement of each other, therefore, we get:

[tex]P(E) \geq 1 - P(E)\\P(E) \geq 0.5[/tex]

Thus, event E is said to be likely if its probability is greater or equal to 0.5, else not.

It is given that the cube is 6 faced (assuming all equally likely), numbered from 1 to 6.

Evaluating likelihood of each event:

It is likely that a number less than 6 is obtained on the number cube.

P(Getting a number < 6 on that cube) = [tex]\dfrac{5}{6}[/tex] (since a number out of 6 numbers can occur in 6 ways, but it being < 6 can be done in 5 ways).

Thus, we have:

P(Getting a number < 6 on that cube) =5/6 > 0.5

So it is likely to get a number < 6 on the considered cube. So this statement correctly describes the likelihood of its considered event.

It is unlikely that a number < 4 is obtained on the number cube.

Ways to get a number on the considered cube = 6

Ways to get a number < 4 on the considered cube = 3

Thus, we get:

P(Getting a number < 4 on that cube) = 3/6 = 0.5

Thus, it is likely to get a number < 4 on that cube, so this option is wrong.

It is certain that an odd or even number is obtained on the number cube

Yes it is certain, but we're considering only those options which correctly describe likelihood instead of certainity.

So, this option is not considerable.

It is unlikely that a number > 1 is obtained on the number cube.

Ways to get a number on the considered cube = 6

Ways to get a number > 1 on the considered cube = 5

Thus, we get:

P(Getting a number > 1 on that cube) = 5/6 > 0.5

Thus, it is likely to get a number > 1 on that cube, so this option is wrong.

Thus, the statement that correctly descrives the likelilhood of an event based on the given numbered cube is: Option A: It is likely that a number less than 6 is occured.

Learn more about likelihood of events here:

https://brainly.com/question/14954386

#SPJ1

A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many possible outcomes are there? There are possible outcomes. b. In how many ways can choosing a card that is not red occur? Choosing a card that is not red can occur in ways.

Answers

Answer:

Step-by-step explanation:

a. 4 outcomes as there are 4 different colours.

b. 3 ways - getting a blue green or yellow card.

Question 1 of 10
How many solutions are there to the equation below?
x = -5
A. 2
B.1
C.0
D.25

Answers

Answer:

Answer is either 1 or 2

Step-by-step explanation:

60 point help What are domain restrictions of rational functions? What do domain restrictions mean for the graph of a rational function?

Answers

Answer:

1. The use of a domain for a function that is smaller than the function's domain of definition. Note: Restricted domains are commonly used to specify a one-to-one section of a function.

2. Domain restrictions can be calculated by finding singularities, which are the x -values for which the denominator Q(x) is zero.

Answer:

by setting the denominator equal to zero and solving. The x -values at which the denominator equals zero are called singularities and are not in the domain of the function.

Step-by-step explanation:

The intrest of 3 years on Rs.2400 is Rs 576. Find the rate of intrest...​

Answers

Answer:

The answer is 8%

Step-by-step explanation:

Given,

Principle=Ra.2400

Time=3 years

Simple Interest= Rs.576

Rate=?

Now,

Rate=100*Simple Interest%P*T

=100*576%2400*3

=57600%7200

=8%

Therefore, the rate of Interest is

8%

(can you give me BRAINLIEST)

Find the circumstance of a circle with the diameter of 13 meters use 3.14 as an approximation

Answers

Answer:

okay so the circumference is 40.82m

[tex]circumference = 2\pi \: \times r \\ = 2 \times 3.14 \times 6.5 \\ = 40.82m[/tex]

the diameter will be divided by 2 to give 6.5

Find the area of the shaded region. Round to the nearest hundredth where necessary. Hint: Could you find the radius? ​

Answers

Answer:

13.72 cm²

Step-by-step explanation:

The formula to find the area of a shaded region: Area of the bigger shape - area of the smaller shape.

The formula to find the area of a square: [tex]a^{2}[/tex], where [tex]a[/tex] is the side.

The formula to find the area of a circle: [tex]\pi r^{2}[/tex], where [tex]\pi[/tex] is 3.14 or [tex]\frac{22}{7}[/tex] or 3.142 or similar, [tex]r[/tex] is the radius (diameter ÷ 2).

1) Find the area of the circle using the formula. The radius is 4 because the diameter is 8 (8 ÷ 2 = 4).

= [tex]\frac{22}{7}*4^{2}[/tex]

= [tex]\frac{22}{7}*16[/tex]

= 50.285

2) Find the area of the square using the formula.

= [tex]8^{2}[/tex]

= 64

3) Apply: area of the bigger shape - area of the smaller shape.

= 64 - 50.285

= 13.715

4) Round it off to the nearest hundredth.

= 13.72

Help would be very appreciated!!

11 points

Answers

Answer:

29 candy bars

Step-by-step explanation:

13 movie pases= $9.50x13= $123.50

3 gift cards= $25×3 =$75

amount of money she has left over to buy candy bars = $250- $75- $123.5 = $51.50

Amount of candy bars she can buy = $51.50÷$1.75 = 29.43 candy bars, but u can only buy full candy bars and there for 29 candy bars is the final answer

Geometry. Please Help. Image is attached. Will give brainliest.

Answers

Answer:

D

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula

Now we calculate the area;

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

need help pls i will give brainliest.

Answers

Answer:

g= 60°

i= 70°

h= 50°

Step-by-step explanation:

g=180-120 = 60°

i= 180-110 = 70°

h=180-60-70 = 50°

hope this helps =)

Kindly rate and mark brainliest. Thank you.

Find the derivative.
[tex]\dfrac{d}{dx} \left[ \sin^{-1}(\cos e^x)-\cos^{-1}(\sin e^x) \right][/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex]\qquad \tt \dashrightarrow \:\dfrac{d}{dx} \left[ \sin^{-1}(\cos e^x)-\cos^{-1}(\sin e^x) \right][/tex]

[tex]\qquad \tt \dashrightarrow \:\dfrac{d}{dx} \sin^{-1}(\cos e^x) - \dfrac{d}{dx}\cos^{-1}(\sin e^x) [/tex]

[tex]\qquad \tt \dashrightarrow \: \bigg(\dfrac{1}{ \sqrt{1 - ( \cos( {e}^{x} ) ) {}^{2} } } \times - \sin( {e}^{x} ) \times {e}^{x} \bigg) - \bigg( - \dfrac{1}{ \sqrt{1 - ( \sin( {e}^{x} )) {}^{2} } } \times \cos( {e}^{x} ) \times {e}^{x} \bigg)[/tex]

[tex]\qquad \tt \dashrightarrow \: \bigg(\dfrac{ - {e}^{x} \sin( {e}^{x} ) }{ \sqrt{1 - ( \cos( {e}^{x} ) ) {}^{2} } } \bigg) - \bigg( - \dfrac{ {e}^{x} \cos( {e}^{x} ) }{ \sqrt{1 - ( \sin( {e}^{x} )) {}^{2} } } \bigg)[/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{ - {e}^{x} \sin( {e}^{x} ) }{ \sqrt{1 - \cos {}^{2} ( {e}^{x} ) {}^{} } } + \dfrac{ {e}^{x} \cos( {e}^{x} ) }{ \sqrt{1 - \sin {}^{2} ( {e}^{x} ) {}^{} } } [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{ - {e}^{x} \sin( {e}^{x} ) }{ \sqrt{ { \sin}^{2} ( {e}^{x} ) {}^{} } } + \dfrac{ {e}^{x} \cos( {e}^{x} ) }{ \sqrt{ \cos {}^{2} ( {e}^{x} ) {}^{} } } [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{ - {e}^{x} \sin( {e}^{x} ) }{ { { \sin}^{} ( {e}^{x} ) {}^{} } } + \dfrac{ {e}^{x} \cos( {e}^{x} ) }{ { \cos {}^{} ( {e}^{x} ) {}^{} } } [/tex]

[tex]\qquad \tt \dashrightarrow \: - {e}^{x} + {e}^{x} [/tex]

[tex]\qquad \tt \dashrightarrow \:0[/tex]

I hope this helps, if you find any problem with steps or got a mistake in my explanation then feel free to ask me ~

Add. Write the answer as a fraction simplified to lowest terms.
2+1 15 20 =

Answers

Answer:

Step-by-step explanation:

LCD (15,20) = 60

[tex]\frac{2}{15}[/tex] + [tex]\frac{1}{20}[/tex] = [tex]\frac{8}{60}[/tex] + [tex]\frac{3}{60}[/tex] = [tex]\frac{11}{60}[/tex]

Answer:

2/15 + 1/20 = 11/60

Step-by-step explanation:

1. Find the least common denominator or LCM of the two denominators:

15 and 20.

Steps to find LCM:

1. Find the prime factorization of 15

15 = 3 × 5

2. Find the prime factorization of 20

20 = 2 × 2 × 5

3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 3 × 5

LCM = 60

2. Next, find the equivalent fraction of both fractional numbers with denominator 60.

For the 1st fraction, since 15 × 4 = 60,

2/15 = 2 * 4 / 15 * 4 = 8/60

Likewise, for the 2nd fraction, since 20 × 3 = 60,

1/20 = 1 * 3 / 20 × 3 = 3/60

Add the two like fractions:

8/60 + 3/60 = 8 + 3/60 = 11/60

Henry was thinking of a number. Henry adds 2, then divides by 5 to get an answer of -10. What was the original number?

Answers

-52 + 2 = -50
-50 / 5 = -10

Need help with 115/120 please and thank you

Answers

Answer:

115: a) -4

120: a) 11

Step-by-step explanation:

115: Use the formula  

[tex]m = \frac{rise}{run} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

= (-5)-(3) / (6) - (4)

= -8 / 2

= -4

120: Count the units between point B and point F

Is 5 1/2 2.5 or 5.5?​

Answers

Answer:

Volume = 92.15

Step-by-step explanation:

V=πr2h/3=π·42·5.5/3≈92.15

15 x 18 + 12 ÷ 3 + 9

1. 15 x 18 =270
2. 270 + 12 divided by 3 + 9
3. 12 divided by 3 = 4
4. 270 + 3 + 9
5. 270 + 3= 273
6. 273 + 9 = 282

The answer is 282.​

Answers

Answer:

283

Step-by-step explanation:

[tex]15 \times 18 + 12 \div 3 + 9 \\ 270 + 4 + 9 \\ 283[/tex]

By using BODMAS rule

Before adding the 12 u have to divide 12 by 3 =4 then u will add 4

Answer:

Your wrong the correct answer is 283

Step-by-step explanation:

[tex]15 \times 18 + 12 \div 3 + 9 \\ = 270 + 4 + 9 \\ = 283 \\ [/tex]

{ The algorithm, multiplication and division comes first, then addition}

What is the interquartile range for 8 9 3 12 4 4 8 7 2 10

Answers

Answer: 5

Step-by-step explanation:

lower quartile: 4

upper quartile: 9

9-4=5

IQR=5

PLEASE HELP ME WITH THIS!!!! I BEG

Answers

Answer:

D. turns

Step-by-step explanation:

Rotation is the process of turning around a center or an axis.

(Sorry if it's wrong. I hope I helped somewhat.)

i have another very simple question before this thats worth 100 points go answer it. whats 2,231.5 milligrams to grams, dont delete this question for christ sake

Answers

Answer:

te paso mi canal subcribete y la respueta

Step-by-step explanation:

2.2315

mi canal es navegando con incognito subcribete

2.232 grams, you just move the decimal place and round to the nearest thousandth

Which function is equivalent to g(x)= x2 +11x-60?

Answers

Answer:
g(x) = x^2 + 11x - 60
(a=1, b=11, c=-60)
To solve this quadratic equation we need to find the discriminant:
discriminant= b^2 - 4ac
= (11)^2 - 4(1)(-60)
=121 - (-240) = 121+240 =361
(if discriminant<0 then equation has no real root
if discriminant=0 then equation has 1 real root
if discriminant>0 then equation has 2 real roots)
Here we have discriminant=361>0 so we have 2 real roots:
x1=(-b-redical discriminant) / 2a
and x2=(-b+redical discriminant) / 2a
x1= (-11-redical(361)) / 2(1)
=-15
x2= (-11+redical(361)) / 2(1)
=4
So we get the two roots x= -15 and x= 4
To write the quation in factorized form:
x= -15 means that x+15=0
x= 4 means that x-4=0
Therefore g(x)= (x+15)(x-4)
D is the correct answer
HOPE THIS HELPS :)

Answer Assap need it quick a lot of points!!!!!


HELP ME OR ELSE…

Answers

Answer:

Length=12 Width=6   AREA=72 (I think)

Step-by-step explanation:

yea... I didnt know  wut the equation was so my small brain did it manually

help me find the area please. the examples in delta math arent helping.

Answers

Answer:

Answer 10,006

Step-by-step explanation:

We are Multiplying.

Answer:

157.78

Step-by-step explanation:

Solve each shape individually

For the square, we are given both side lengths so multiply them to find its area

9.8 x 8.7 = 85.26m

For the triangle on the right, we know the base and height lengths, so multiply them and divide by two to find the area

9.8 x 7.2 = 70.56 / 2 = 35.28m

For the triangle on the left, we can find the base by subtracting the side length of the square from the length given on the bottom

16.3 - 8.7 = 7.6

We know the height for this triangle so multiply that by the number you just found and divide by two to find the area

9.8 x 7.6 = 74.48 / 2 = 37.24m

Finally add all of the areas found together to get the total area of the trapezoid

37.24 + 35.28 + 85.26 = 157.78

3
Find the midpoint M of the line segment joining the points C = (-1, 1) and D - - (5.-7).
M - OD
M =

Answers

Answer: (2,-3)

Step-by-step explanation:

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