Please help answer the two questions in the photo

Please Help Answer The Two Questions In The Photo

Answers

Answer 1

The given pentagon can be divided into two figures : a triangle and rectangle as shown in figure.

Let us find area of each figure separately.

Triangle:

Area of triangle is given by:

[tex]A=\frac{1}{2}*b*h[/tex]

where b=base and h=height

Height of triangle :

h=(3x+5)-(2x+1)

h=x+4

Base = 2x-2

[tex]A=\frac{1}{2}*(x+4)(2x-2)[/tex]

Area of triangle= (x-1)(x+4) = x²+3x-4

Area of rectangle:

Area of rectangle is given by:

A=l*b

[tex]A=(2x-2)(2x+1)[/tex]

Area of rectangle = 4x²-2x-2

Area of pentagon = Area of triangle + Area of rectangle

Area of pentagon = x²+3x-4 + 4x²-2x-2

Area of pentagon = 5x²+x-6

If area of pentagon is 42 cm², then solving for x,

[tex]42=5x^{2}+x-6[/tex]

[tex]5x^{2}+x-48=0[/tex]

Factorising to get x,

x=-3.2 and x=3

If we take x as negative the side will be negative, so we neglect x=-3.2

So x=3 is the answer.





Related Questions

Please help me find 2,4,6,8, and 10

Answers

2.) 96 ÷ 6 ?​

Answer 2 : 96/6 = 16​

4.) 84 ÷ 6 ? ​

Answer 4 : 84/6 = 14​

6.) 104 ÷ 4 ? ​

Answer 6 : 104/4 = 26

8.) 102 ÷ 6 ?​

Answer 8 : 102/6 = 17

​10. Ken is making gift bags for a party. He has 64 colored pens and wants to put the same number in each bag. How many bags will Ken make if he puts 4 pens in each bag?

To calculate the number of bags, we have to divide the total number of pens by the number of pens that he has put in each bag.​

​bags = 64 pens/4pens/bag = 16 bags

Answer 10 : 16 bags

Hope this helps!​​​​​

​[tex]\textit{\textbf{Spymore}}[/tex]

The difference between the two square roots of a whole number is about 5.3 what is the number

Answers

Final answer:

The difference between the two square roots of a whole number cannot be about 5.3.

Explanation:

The difference between the two square roots of a whole number can be expressed as:

sqrt(x) - sqrt(x) = 5.3

Since the square root of a number multiplied by itself gives the number, we can rewrite the equation as:

x - x = 5.3

This simplifies to:

0 = 5.3

However, this is not possible, as it would mean that 0 is equal to a non-zero value. Therefore, there is no whole number that satisfies the given condition.

Learn more about Square roots here:

https://brainly.com/question/3120622

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Name the alternative exterior angle with angle 8.

Answers

An alterior exterior angle is an angle on the opposite end of the transversal and on the opposite side of the line it is part of

Answer: angle 1 is an alterior exterior angle to angle 8

Answer: angle 1

Step-by-step explanation:

elena wants to paint her jewelry box blue.the jewelry box is in the shape of a cube and it has an edge length of 4 in. how much blue paint will elena need

Answers

4x4=16x4=64. 64 blue paint

Elena needs to calculate the total surface area of her cubic jewelry box to know how much blue paint to buy. The surface area is 96 square inches, based on an edge length of 4 inches. The actual amount of paint depends on the paint's coverage rate.

Each side of a cube has an area calculated by squaring the length of an edge. Since all sides are equal for a cube, the total surface area is 6 times the area of one face.

To find the area of one face: Area = edge length × edge length = 4 inches × 4 inches = 16 square inches.

Therefore, the total surface area of the jewelry box is 16 square inches × 6 = 96 square inches.

To determine how much blue paint Elena will need, we use the total surface area of 96 square inches. The amount of paint required typically depends on the coverage rate of the paint, which is usually mentioned on the paint container. Elena should look for this information to buy the correct amount of blue paint needed to cover 96 square inches.

find the value of each variable

x=38, y=76

x=52, y=76

x=38, y=104

x= 52, y= 104

Answers

x = 38, y = 104

opposite angles are always equal, so do 76/2, get 38. then do 76*2 to get 152. You take 152 from 360 (the total number of degrees in it) then divide that by 2 to get y, 104

Answer:  The correct option is

(C) x = 38  and  y = 104.

Step-by-step explanation:  We are given to find the values of the variables x and y from the figure.

We know that

if two angles make a linear pair, then the sum of their measures is 180°.

From the figure, we note that

the angles with measures y° and 76° makes a linear pair, so we have

[tex]y^\circ+76^\circ=180^\circ\\\\\Rightarrow y+76=180\\\\\Rightarrow y=180-76\\\\\Rightarrow y=104.[/tex]

Also, the angles with measures 2x° and y° makes a linear pair, so we have

[tex]2x^\circ+y^\circ=180^\circ\\\\\Rightarrow 2x+y=180\\\\\Rightarrow 2x=180-104\\\\\Rightarrow 2x=76\\\\\Rightarrow x=\dfrac{76}{2}\\\\\Rightarrow x=38.[/tex]

Thus, the required values the variables are x = 38 and y = 104.

Option (C) is CORRECT.

Solve -2x + 6 = -20. -13 13 -7 7

Answers

Note the equal sign. What you do to one side, you do to the other.

Also, remember to do the opposite of PEMDAS.

First, subtract 6 from both sides

-2x + 6 (-6) = -20 (-6)

-2x = -26

Next, isolate the x. Divide -2 from both sides

(-2x)/-2 = (-26)/-2

x = -26/-2

x = 13

13, or (B) is your answer

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

~Rise Above the Ordinary, Senpai

-2x + 6 = -20

= -2(13) + 6 = -20

What is 24/32 Simplest form

Answers

In order to find the simplest form of a fraction, we have to divide the numerator and the denominator by the same number.

[tex]\frac{24}{32}[/tex] is a fraction. Here, 24 is the numerator and 32 is the denominator.

24 and 32 both are multiples of 8. Therefore, we can divide both by 8

24 divided by 8 = 3

32 divided by 8 = 4

Therefore, the given fraction in the simplest form is [tex]\frac{3}{4}[/tex]

what is the estimated product of 1/3×9/11

Answers

The answer is 2.45454545

Answer,

1/3 x 9/11 = 3/11

Explanation,

1 x 9/3 x 11 = 9/33

9 ÷ 33 / 33 ÷ 3

= 3/11


Hope this helps :-)

The original price of a TV is $384. Which coupon is a better deal? A) SAVE 30% ON ANY TV B) SAVE $100 ON ANY TV C) SAVE $75 PLUS 5% OFF ON ANY TV D) SAVE $50 PLUS 10% OFF ON ANY TV E) SAVE $20 PLUS 20% OFF ON ANY TV

Answers

A) The TV would cost $264.80
B) The TV would cost $284
C) The TV would cost $289.80
D) The TV would cost $307.20.

Clearly, A) is the best deal.

Hope that helped!

Here are the various saving options:

 A) 30% off - saves 0.30*$384 = $115.20

 B) $100 off - saves $100

 C) 5% off - saves 19.20, plus $75 saves $94.20

 D) 10% off saves $38.40, plus $50 saves $88.40

The coupon that is the best deal is

 A) Save 30% on any TV

_____

For options C and D, the wording suggests the dollars-off come before the percent-off. In that case, the savings is even less than indicated here.

Read more on Brainly.com - https://brainly.com/question/10277220#readmore

3y-6y=18 solve for y

Answers

3y-6y=18

Combine like terms

-3y=18

Divide both sides by -3

y=-6

Answer,

Y = -6

Explanation,

Add similar elements: 3y - 6y = -3y

-3y = 18

Divide both sides by -3

-3y/-3 = 18/-3

Y = -6


Hope this helps :-)

A Mallard duck flies 5 6 of a mile in 1 60 of a hour. Compute the unit rate by setting up a complex fraction and simplifying. A) 25 miles per hour B) 30 miles per hour Eliminate C) 50 miles per hour D) 60 miles per hour

Answers

D)60 miles per hour
no problem


[tex] \frac{x}{x - y} + \frac{y}{x + y} [/tex]

Answers

[tex]\dfrac{x}{x-y}+\dfrac{y}{x+y}=\dfrac{x(x+y)}{(x-y)(x+y)}+\dfrac{y(x-y)}{(x-y)(x+y)}\\\\=\dfrac{x^2+xy+xy-y^2}{(x-y)(x+y)}=\dfrac{x^2+2xy-y^2}{x^2-y^2}\\\\Used:\ a^2-b^2=(a-b)(a+b)[/tex]

Fran buys socksAnd packages that contain nine pairs of white socks for every three pairs of blue socks Mia buy socks and packages with the ratio of two blue pairs do you for white pairs if the girls each bought six pairs of blue song how many pairs of white socks would they each have bought

Answers

Answer: Number of white socks Fran has =18

Number of white socks Mia has = 9

Step-by-step explanation:

Since we have given that

Fran buys socks in such a way that it contains nine pairs of white socks for every three pairs of blue socks i.e.

Ratio becomes

[tex]9:3=3:1[/tex]

Similarly,

Mia buys socks and packages in such a way that it contains two blue pairs for every one white pair

So, ratio becomes

[tex]2:1[/tex]

Now, from the case of Fran, we have given that she has 6 pairs of blue socks .

So, we get that

[tex]\frac{1}{4}\times x=6\\=x=24\\\\\text{So, number of white socks becomes }=\frac{3}{4}\times 24=\frac{72}{4}=18[/tex]

Similarly,

From the case of Mia , we have given that she has 6 pairs of blue socks .

we get that

[tex]\frac{2}{3}\times y=6\\y=9\\\\\text{So, number of white socks Mia has }=\frac{1}[3}\times 9=3[/tex]

So, Number of white socks Fran has =18

Number of white socks Mia has = 9

Final answer:

Fran would have bought 18 white pairs of socks and Mia would have bought 12 white pairs, given their purchase of 6 pairs of blue socks and based on their respective ratios of white to blue socks in a package.

Explanation:

To answer the student's question, we must understand the concept of ratios. Fran buys socks in a package with a ratio of 9 white pairs to 3 blue pairs. Mia buys socks in a package with a ratio of 2 blue pairs to 4 white pairs. If each girl bought six pairs of blue socks, we'll calculate how many white socks they would have bought by setting up a proportion corresponding to each of their packages' ratios.

For Fran: The ratio 9:3 simplifies to 3:1 (since for every three pairs of white socks, there is one pair of blue socks). So for every blue sock pair, there are three white. Therefore, if Fran buys 6 blue pairs, she would buy 6 * 3 = 18 white pairs.

For Mia: The ratio 2:4 simplifies to 1:2. So for every two pairs of white socks, there is one pair of blue socks. Therefore, if Mia buys 6 blue pairs, she would buy 6 / 1 * 2 = 12 white pairs.

Wats the answer plzzzzzz quick

Answers

(a) With a unit rate of 8, repeated (iterated) 72 times, we can simply multiply 8 by 72 to get the net change: 8 × 72 = 576 fish.

(b) For the unit rate (i.e. rate of change per time - minutes in this case) we can simply divide the total water pumped out by the total time it took to perform this. So: 48 ÷ 8 = 6 gallons/min.

Hope I could help you! :)

8×72= 576 fish

48/8= 6 gallons

8/2 - 7/12 What is the answer

Answers

Firstly find the common denominator (12) so for 2 to turn into 12 it needs to be multiplied by 6. Because of this, 8 also needs to be multiplied by the same amount so the first fraction would be 48/12.

The second fraction doesn't need to be changed so...


48/12 - 7/12 = 41/12.

48/12 - 7/12 = 41/12

Select all possible solutions for 2x+7 ≤ 3x-5

-14
-23
-261
12
18
24
107

Answers

2x+7 <= 3x-5

subtract 2x from each side

7 <= x-5

add 5 to each side

12 <= x

x must be greater than or equal to 12

12 18 24 and 107 are possible solutions

What is the resulting value if the difference of 12 and 8 is quadrupled

Answers

difference means subtract

12-8=4

the quadruple it means

4*4

16

what is the product for 24 and 32

Answers

Hi! I'm Jenny and I'm a mathematician! I'd love to help you with this problem! :)

Lets get started...

"What is the product for 24 and 32?"

Lets first clarify what the terms are for the results of MDAS in PEMDAS.

Multiplication: Product

Division: Quotient

Addition: Sum

Subtraction: Difference or result

We know that product is the result of multiplying.

So 24 x 32 is...

768

Message from ExperimentsDIYS:

Our team aims to please and if you have any question regarding your topic, we are here to help! We know that your education is very important. <3

Answer:

768

Step-by-step explanation:

24 times 32 = 768, just ask Siri

15 POOOOIIINNNTTTSSS
ONE PROBLEM
HELP
ASAP

Answers

All real number are solutions because this is distributive property to there can be infinitely many solutions.

2x+4=2(x+2)

2x+4=2x+4

-2x   -2x

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

4=4 (Which equals to 0=0)

The equation has infinietely many solutions.

Well what I really need help in is to know how to do expanded form . Thx!

Answers

100000+10000+4000+6 This is written in expanded from please give brainlest

How to combine like terms

Answers

Each Term in an Expression Is seprerated by + and - signs

Combine based on same variables by adding or subtracting.

Hope that helps :)


A city has a population of 743,182 people. WHATS IS THE VALUE OF THE DIGIT 3?

Answers

Well let's remember the place values in order to solve this

Hundred thousands, Ten thousands, Thousands, Hundreds, Tens, Ones

(Notice how the 3 is in the thousands place)

Now lets separate these place values from the number shown in the question

700,000 + 40,000 + 3,000 + 100 + 80 + 2

As we see up there ^. The thousands place shows the number 3,000

3,000 is your answer

If you break it down the 3 it is in the thousands place. You take all the numbers after 3 and make them 0’s and you’ll find that the value of 3 is 3,000.


what is the solution to
7(x+2)=7x-10

Answers

[tex]7(x+2)=7x-10\\\\7x+14=7x-10\\\\14=-10\\\\x\in\emptyset[/tex]

10/12 - 11/12=???

I just want to correct my homework.

Answers

Answer:

-1/12

Step-by-step explanation:

you jus gotta substract and jawnt uerme! i know you got dis wrong, dont bluff cutie...

Answer:

-1/12 Is the right answer for this.

Step-by-step explanation:


What is the change in temperature from 15 to -9?

Answers

The change is 24 degrees


it’s 24 degrees plz mark brainliest

-4/7(-3/5)(-7/3) whats the answere

Answers

The answer is -0.8 welcome

Exact Form: −4/5

Decimal Form:−0.8

A submarine dives below the surface heading downward in three moves if each move downward 325 feet where is the submarine after finishing dividing.

Answers

Answer:


Step-by-step explanation:

The answer would me -975 :)

If you add -325 three times it is -975. This is the answer. Or you could just do -325x3

what is 2 to the -2nd power

Answers

The answer will be 1/4

the answer is 4. you do 2 Times 2 and it equals 4

no hate if wrong.

PLEAsE hELP :'000 20 POINTS
The degree of the polynomial function f(x) is 4.

The roots of the equation f(x)=0 are −6 , −2 , 1, and 3.

Which graph could be the graph of f(x) ?

Answers

So, since the roots are -6, -2, 1, and 3, The graph MUST cross the X axis at these points.


The Top left graph is not correct, there is no root at 3

The top right graph is not correct ,no root at -6, or -2

The bottom Right Graph is incorrect, no root at 3 or 1


The Bottom Left graph is correct, since all roots are shown.

Answer:

bottom left

Step-by-step explanation:

Which two square roots are sed to esimate √42?
(a) √25 and √36
(b) √36 and √49
(c) √49 and √64
(d) √25 and √64

Answers

The answer is c . I hope I helped


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