Find the area of the figure below by first finding the areas of the rectangle and triangle.

Find The Area Of The Figure Below By First Finding The Areas Of The Rectangle And Triangle.

Answers

Answer 1

Answer:

21 units^2

Step-by-step explanation:

Dimensions of rectangle are 3 by 6 units; therefore the area is 18 units^2.

Dimensions of triangle:  base is 3 and height is 2; therefore the area of this triangle is (1/2)(base)(height) = (1/2)(3)(2) = 3 units^2

The total area of this figure is (18 + 3) units^2, or 21 units^2

Answer 2
Area of rectangle= 18 units²Area of triangle = 3 units²Area of figure = 21 unit²What is Area of rectangle?

The Area of rectangle is the product of its width to its length.

i.e., Area of rectangle= length x width

Given:

Rectangle:

length= 6 units

width = 3 units

So, area of rectangle= l x w

                                  = 6x 3

                                   = 18 units²

Now, Triangle:

Base= 2 units, height = 3 units

area of triangle= 1/2 x b x h

                        = 1/2 x 2 x 3

                         = 3 units²

now, area of figure =  area of rectangle + area of triangle

                                 = 18+ 3 = 21 unit²

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Related Questions

2. (10.03)
A teacher gave his class two quizzen; 10% of the class passed the first quiz, but only 60% of the class passed to me what percent of those who passed the first one
passed the second quiz? (2 points)
20%
4096
ООО
60%
75%

Answers

This question is incomplete because it was not written properly

Complete Question

A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)

a) 20%

b) 40%

c) 60%

d) 75%

Answer:

d) 75%

Step-by-step explanation:

We would be solving this question using conditional probability.

Let us represent the percentage of those who passed the first quiz as A = 80%

and

Those who passed the first quiz as B = unknown

Those who passed the first and second quiz as A and B = 60%

The formula for conditional probability is given as

P(B|A) = P(A and B) / P(A)

Where,

P(B|A) = the percent of those who passed the first one passed the second

Hence,

P(B|A) = 60/80

= 0.75

In percent form, 0.75 × 100 = 75%

Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.

3 to 2 power+8x4 need answer Can’t get it to write 2 squared

Answers

Answer: 3^2 + 8×4

= 41

3^2=9, 8 ×4=32 9 +32=41

Step-by-step explanation:

You can use the carat ^ to indicate an exponent. On a standard keyboard it's above the 6. (shift +6).

I have the same problem on my phone keyboard.

In Brainly, you might be able to use the formula options.

Answer:

41

Step-by-step explanation:

3^2 + 8(4)

Multiply 8 by 4

3^2 + 32

Square 3

9 + 32

Add 9 and 32 to get the answer

41

hope this helps!

I NEED HELP ASAP

The line of best fit in the scatter plot represents the average customer rating at Mike's BBQ Shop over time. Mike's BBQ Shop started with an average customer rating of ....

Answers

Answer:

4

Step-by-step explanation:

Month 1- average rating as er graph is 4 point (1,4)

Rating was 4 at the beginning, then was stable for 2 months at 3, then increased over time up to 8 at month 10, point (10, 8)

Please help- I am very confused-

Answers

Answer:

5÷9

Step-by-step explanation:

5/9 is a fraction where the numerator is divided by the denominator

5 divide by 9

5÷9

Answer:

5

Step-by-step explanation:

5/9 = .55555555555

.55555555555 x 9 = 5

to check the work, just do 5 divided by nine :)

Which Statement is NOT true?

Answers

Answer:

D

Step-by-step explanation:

i beleive the answer is D

random words so brainly doesnt delete my answer again for no reason d ;lkm dfkslfjks fjdsfdnfjnv fheryqoiwr bnmxm,nxvbkfldj uyeuqiowerhtuirqgyt jbnnkfamcx vnkscjvhsdf

Help ? I’m really bad at math !

Answers

Answer:

<b = 23°

Step-by-step explanation:

<a and <b are complementary so they add up to 90

<a + <b = 90

Where <a = 67

67 + <b = 90

<b = 90 - 67

<b = 23°

Answer:

∠b=23°

Step-by-step explanation:

∠a+∠b=90°

67°+∠b=90°

Subtract 67° from both sides

∠b=23°

If you vertically compress the absolute value parent function, f(x) = [ 41, by a
factor of 5, what is the equation of the new function?
A. g(x) = 1/5 |x|
B. g(x) = |x - 5|
C. g(x) = |5x|
D. g(x) = 5|x|

Answers

Answer:

[tex]g(x) = \frac{1}{5} |x|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Vertically compressed

Compression Factor = 5

Required

Find the equation of the new function;

Let the new function be represented by g(x)

Let c represented the compression factor;

such that c = 5

When a function f(x) is vertically compressed by factor c, the new function becomes

[tex]f(\frac{1}{c}x)[/tex]

From properties of functions;

[tex]f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

This implies that

[tex]g(x) = f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]

[tex]g(x) = \frac{1}{c} *f(x)[/tex]

Recall that [tex]f(x) = |x|[/tex] and c = 5

[tex]g(x) = \frac{1}{5} * |x|[/tex]

[tex]g(x) = \frac{1}{5} |x|[/tex]

Hence, the new function is [tex]g(x) = \frac{1}{5} |x|[/tex]

Answer:

G(x)=1/5 |x|

Step-by-step explanation:

A p e x

Which transformations could be performed to show that
AABC is similar to AA"B"C"?

Answers

Answer:

add a picture

Step-by-step explanation:


What is the area of the regular heptagon shown below? (Round your answer
to the nearest whole number

Answers

nearest whole number = 7

Answer:

1783 sq. Units

Step-by-step explanation:

Solve the system by substitution. In the space provided, type the answer without any
spaces between the letters, numbers, or symbols.
x - y = -1
3x + 2y = 22

Answers

Answer:

x - y = -1 ....... 1

3x + 2y = 22 ........ 2

Make x the subject in the first equation

x = -1+y

Substitute this into the second equation

3(-1+y) + 2y = 22

-3 + 3y + 2y = 22

5y = 25

Divide both sides by 5

y = 5

Substitute y = 5 into x = -1+y

x = -1+5

x = 4

x = 4 , y = 5

Hope this helps

Given ST is tangent to radius R at S, find RT.

Answers

[tex]answer \\ = 5 \sqrt{17} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

ASAP PLEASE!!!

Simplify: 8 √y^2

Answers

Answer:

4√ y

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

4√ y

That should be the right answer

What is the answer for 7x-4=73

Answers

Answer:

11

Step-by-step explanation:

7x-4=73

7x = 4+73

7x = 77

7x/7 = 77/7

x = 11

hi, can someone pls help me? I really don’t understand this

Answers

Answer: 1 is not, 2 is, 3 is, 4 is, 5 is, 6 is not

Step-by-step explanation:

1 is not because 2 has two arrows coming off of it and each input can only have one output. 6 is not because if you draw a line down the graph it will hit the figure more than once( this is called the pencil drop test)

Function is an assignation that for each element of first set assigns one and only one element from second set.

1) NO    {element 2 from set one has assigned two elements (b, c) from set two}

2)  YES

3) YES     {several elements from set one can have assigned the same element from set two}

4), 5)   YES

6)  NO   {for x from about -4 to about 0.5 there are two y}

What is anequation of the line that passes through the points (0, -7) and (-6, -2)?​

Answers

Answer:

the desired equation is  y = (-5/6)x - 7

Step-by-step explanation:

Going from (-6, -2) to (0, -7), we see that x (the "run") increases by 6 and y (the "rise" decreases by 5.  Thus, the slope is m = rise / run = -5/6.

The slope-intercept equation y = mx + b becomes -7 = (-5/6)(0) = b, and so

b = -7.  

Thus, the desired equation is y = (-5/6)x - 7.

Check this by letting x = -6 and y = -2:  Is the resulting equation true?

-2 = (-5/6)(-6) - 7

-2 = 5 - 7          Yes, this is true and so we have verified that the desired equation is  y = (-5/6)x - 7

Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the states, we find that State A entered the Union right after State B, and the product of their order-of-entry numbers is 132. Use the given information to complete each statement. State A was the th state to enter the Union. State B was the th state to enter the Union.

Answers

Answer:

State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]

[tex]x = \frac{-1 \pm 23}{2} [/tex]

[tex]x_1 = \frac{-1 + 23}{2} [/tex]

[tex]x_1 = 11 [/tex]

[tex]x_2 = \frac{-1 - 23}{2} [/tex]

[tex]x_2 = -12[/tex]

The negative solution has no sense in the context of our problem, then the solution is x = 11.

Pls help me with geometry

Answers

Answer:

x = 20

y = 73

Step-by-step explanation:

8x - 87 + 7x - 33 = 180

15x = 180 + 87 + 33

15x = 300

x = 20

8x - 87 = y

160 - 87 = y

y = 73

if the sum of four times a number and four less than three times a number is seventeen

Answers

Answer:

13divided by 7

Step-by-step explanation:

[tex]4x + 3x - 4 = 17 \\ 7x - 4 = 17 \\ 7x = 17 - 4 \\ 7x = 13 \\ \frac{7x}{7} = \frac{13}{7 } \\ x = \frac{13}{7} or1 \times \frac{6}{7} [/tex]

The required number is 3 .

It is required to find the number.

What is algebra?

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

Let the number be x

According to given question we have,

4x+3x-4=17

Compare the like terms we get,

7x=17+4

7x=21

x=3

The number is 3 .

Therefore, the required number is 3 .

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Could someone help me with this please !

Answers

List of prime numbers: 2,3,5,7,11

Both C and D equal 2 which is a prime number.

The answers are C and D

whats the answer???​

Answers

Answer:

a is the answer

have a great day. brainliest please

Step-by-step explanation:

Answer:

the answer is A. :)

Step-by-step explanation:

the answer A. is 10 so just think what 2 times what will equal 10 so....2 x 5 = 10 and we got 10 so that is how we get our answer

Brainliest please thank you! and good luck!

PLeaSe HeLP!!! aSaP!!! WiLL MaRK BRaNLieST!!! Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits.

Answers

Answer:

Y = 2

E = 9

A = 1

R = 0

Step-by-step explanation:

2222 - 999 + 11 - 0 =1234

Find the surface area of the triangular prism shown below.
units2
5
7

Answers

Answer: 136 units squared

Explanation: 5*7=35, 5*7=35, 6*7=42, 1/2 of 4*24=12, 1/2 of 4*24=12

35+35+42+12+12= 136 units squared

How do you write 4.7 × 10^–6 in standard form?

Answers

Answer:

0.0000047

Step-by-step explanation:

Simply move the decimal place 6 places to the left while filling in the zeros.

which of the following equations describe the line shown below? check all that apply. Please Help!​

Answers

Answer:

A & F

Step-by-step explanation:

if you look at the other question I answered for you, you can see the work. but basically you can figure out slope by doing m=y2-y1/x2-x1.

so we now know the slope is 1/4. which eliminates choices B, D, E.

we see that C will not work because the x and y values are switched.

according to point slope formula A & F work.

What is the solution set of -lx| = -8?
O {8}
O {-8}
O {-8, 8}
O no solution

Answers

I think the answer is -8,8 because once the number is in the absolute sign everything turns positive

Answer:

O {-8, 8}

Step-by-step explanation:

[tex]-|x| = -8\\\\\frac{-|x|=-8}{-1}\\\\|x|=8\\\\\text{Apply rule: If } |u|=a, a > 0, \text {then } u=a \text { or } u=-a\\\\\boxed {x = -8, x = 8}[/tex]

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x. x4 -3x + 1, 4x2 - 2x + 8, and x3 - 9

Answers

Answer:

x⁴ + x³ + 4x² - 5x

Step-by-step explanation:

The polynomials given in the question are:

x⁴ - 3x + 1

4x² - 2x + 8

x³ - 9

We have to add all them

First write all the polynomial in the summation form:

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

Open the brackets:

x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

Group together the similar terms

(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)

Finding the sum in brackets:

x⁴ + x³ + 4x² + (-5x) + (0)

x⁴ + x³ + 4x² - 5x

Note that the sum is in descending powers of x

John wants to invest in a simple intereset savings account The intereset rate on this account is 0.7%. The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x where x represents the time (in years) that john leaves her money in the account what is johns initial investment?

Answers

Answer:

John's initial investment is Rs.150000

Step-by-step explanation:

Let the principal amount be a

We are given that John wants to invest in a simple interest savings account .The interest rate on this account is 0.7%.

Now to find simple interest in x years

Formula : [tex]Si = P \times T \times R[/tex]

Where P = Principal

T= time

R = rate of interest in decimals

So,[tex]SI=a \times 0.007 \times x[/tex]

Amount = Principal+Interest

Amount = [tex]a+a(0.007)x[/tex]

We are given that The account balance y can be modeled by the following linear equation y=150,000+150,000(0.007)x

So, On comparing a = 150000

Hence John's initial investment is Rs.150000

Are triangles DEF and LNM similar if LN equals 5 MN equals 3 DE equals 10 and FE equals 6


A. No the corresponding sides are not proportional
B. No the corresponding angles are not congruent
C. Yes by the SSS Similarity Postulate
D. Yes by the SAS Similarity Postulate

Answers

Answer:

D.  Yes by SAS Similarity Postulate

Step-by-step explanation:

This is the answer because if you flip triangle LNM around to shape the DEF.  Then you will see that:

1. angle D is congruent to angle L

2. angle E is congruent to angle N

3. angle F is congruent to angle M

4. angle E and N are both 90 degrees

Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.

We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate.  The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.

Answer:

D. SAS Similarity Postulate

Step-by-step explanation:

I got it right on the test

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, b, that he purchases in a year: C(b) = 2.75b + 10 Which statements are true about the variables in the yearly cost function? Check all that apply. A. The number of books purchased is the independent variable. B. The input is the yearly cost. C. The total yearly cost depends on the number of books purchased. D. The number of books purchased is determined by the yearly cost. E. The output is the yearly cost.

Answers

Answer: A, C, and E

Step-by-step explanation:

Hi, to answer this question we have to analyze the function given:

C(b) = 2.75b + 10

Where:

Independent variable: b (number of books) Input = b Output = C = annual cost Dependent variable = C (depends on b, the independent variable)

So:

A. The number of books purchased is the independent variable. TRUE  

B. The input is the yearly cost. (FALSE, the input is the number of books )

C. The total yearly cost depends on the number of books purchased. TRUE

D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number  

of books.

E. The output is the yearly cost.TRUE

Answer:

A)The number of books purchased is the independent variable.

C)The total yearly cost depends on the number of books purchased.

E)The output is the yearly cost.

those are your corrected answers

Step-by-step explanation:

What is the permeter of square ABCD?

Answers

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Length of AB

[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]

perimeter of ABCD

[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]

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