Find the area of each figure.
20 points

Answer:

b = 4 mm

Step-by-step explanation:

[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]

Hope this helps

Answer:

The missing leg measures b = 4 millimeters in length.

Step-by-step explanation:

The Pythagorean theorem should be used to find the missing leg measure.

The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.

Let's use the Pythagorean theorem now that a = 3 and c = 5.

a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.

3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.

9 + b^2 = 25

b^2 = 16 - Take 9 off both sides or subtract.

square root of b^2 = square root of 16 - Take the square root of both sides of the equation.

b = 4 - Simplify

The missing leg measures b = 4 millimeters in length.

Answer:

[tex] \frac{9}{2} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} \div \frac{1}{6} [/tex]

[tex] \frac{3}{4} \times \frac{6}{1} [/tex]

[tex] \frac{18}{4} [/tex]

[tex] \frac{9}{2} [/tex]

Divide fractions:-

[tex]\displaystyle\frac{3}{4} :\frac{1}{6}[/tex]

Multiply the 1st fraction times the reciprocal of the 2nd fraction (flop the second fraction over) :-

[tex]\displaystyle\frac{3}{4} *\frac{6}{1} =\frac{3*6}{4*1}=\frac{18}{4}[/tex]

[If necessary, divide the top & bottom by 2, and you'll have 9/2]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

435

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30*0.0= 435

Answer:

the answer is: 435

Step-by-step explanation:

option (C) is correct

[tex]a_1=-1-\infty[/tex]

[tex]a_2=1-2[/tex]

[tex]a_3=3[/tex]

[tex]a_4=5[/tex]

[tex]from \ (1)\ and\ (2)[/tex]

[tex]a_2=2(-1)-1=-1[/tex]

[tex]ie.,\ a_2=2(a_1)-1[/tex]

[tex]so,\ a_n=2a_n_-_1-1[/tex]

[tex]Answer:option\ (C)\ is\ Correct[/tex]

I hope this helps you

:)

Answer:

4 4/1

Step-by-step explanation:

we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.

Answer:

4×4=16

16+1=17

=4/17

step-by-step explanation:

since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator

Step-by-step explanation:

Surface area of cone = πr ( l + r)

= 22/7 × 4 (5+4

= 88/7 × 9

= 792/7

= 113.14 cm²

Answer:

D.  113.13 cm^2.

Step-by-step explanation:

I am assumming you want the surface area of this cone.

This = area of base + area of the curved side

= π r^2 + π r L

=  4^2 π + 4*5 π

= 113.13 cm^2.

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

Subquestion #2

Subquestion #3

#1

[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]

[tex]\\ \rm\Rrightarrow x+24=90[/tex]

[tex]\\ \rm\Rrightarrow x=66[/tex]

#2

[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]

[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]

[tex]\\ \rm\Rrightarrow 4x=48[/tex]

[tex]\\ \rm\Rrightarrow x=12[/tex]

#3

[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]

[tex]\\ \rm\Rrightarrow 3x=126[/tex]

[tex]\\ \rm\Rrightarrow x=42[/tex]

Using proportions, it is found that 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

A proportion is a fraction of a total amount.

At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:

S = 7.75 x 70 = 542.5

At the bed and breakfast, the mean was of 3.25 guests per night, hence:

B = 3.25 x 70 = 227.5.

The difference is given by:

S - B = 542.5 - 227.5 = 315.

Hence, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: Look at the attachment

Step-by-step explanation:

sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

Answer:

Step-by-step explanation:

There is no difference between the two fractions. I can show you this in the following way, assuming you understand the distributive property. We can write the fraction -7/2 in the following way:

[tex]-\frac{7}{2} =-1(7*2^-^1)[/tex]

Hopefully you agree with me that we can bring the 2 into the numerator if we switch the signs of the exponent. And hopefully you agree that a negative sign is equivalent to multiplying by -1. Therefore, this negative 1 can distribute to the 7 or the 2. It really does not matter. To sum this up:

[tex]-\frac{7}{2} =\frac{-7}{2} =\frac{7}{-2}[/tex]

Answer:

Histogram (Please tell me if you disagree, Have a great day:)

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex] null hypothesis on this data is not rejected.

Data;

H_o = μ1 = μ2

H_o = μ1 ≠ μ2

This is a two-tailed test and population standard deviation will be used.

The z-stat is

[tex]z = \frac{x_1 - x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+ \frac{\sigma_1 ^2}{n_2} } } \\z=\frac{240993-249237}{\sqrt{\frac{25875^2}{35}+ \frac{27110^2}{35} } } \\z = \frac{-8244}{6334.6388} \\z = -1.301[/tex]

The significance level is  α = 0.1 and the critical value for a two-tailed test is

[tex]Z_t = Z_1 - _\alpha _/_2 = 1.64[/tex]

Since [tex]|z| = 1.301 \leq z_1 = 1.64[/tex], we can assume that the null hypothesis is not rejected.

Learn more on null hypothesis here;

https://brainly.com/question/15980493

Answer:
I believe it is Option C.

Step-by-step explanation:

There has only been one single tie since the passing of the 12th Amendment. It is a very low chance for a possible tie to take place, so they would have no reason to ensure it doesn't happen as it's already unlikely, ruling out option D. Giving two people the same rank would definitely make a difference as you are basically adding not 1, but two votes. Though it would even the count out, each person would gain 1 point, so it would make a difference. Option B is ruled out. This also potentially explains debunking A as there's no possible way to plan a tie to that extent. Again. ties happen very rarely, so it would be unlikely that voting for both candidates would impact the choice at all.

Step-by-step explanation:

1) option A OR B AS THEY ARE THE SAME

2) option a

Answer: question 1 is b

Question 2 is a

Step-by-step explanation: hope it helps

in question 1 a and b are the same so choose this or this

Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

The Euler's formula is given as,  F + V = E + 2, where:

Given that the pentagonal prism has the following dimensions:

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

https://brainly.com/question/1178790

Answer:

1.14

Step-by-step explanation:

Long division! Image attached below!

Answer:

breadth does it 9 feet

12 feet

Answer:

x=4

y=1

Step-by-step explanation:

4x=7y+9

4x+y=17

7y+9+y=17

8y=17-9

8y=8

y=1

so

4x=7*1+9

4x=16

x=16/4

x=4

Answer:

x = -9

Step-by-step explanation:

find x for -3 + x = 2 (x+3)

-3 + x = 2 (x + 3) <== distribute

-3 + x = 2x + 6 <== subtract 1x from both sides

   -x     -x

-3 = x + 6 <== subtract 6 from both sides

-6       -6

-9 = x or x = -9

Hope this helps!

Given Equation :

[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]

Solution :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]

Using Distributive property for the right side we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2x+ 6 }}} \\ \\[/tex]

Now, subtracting 2x from both sides we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x - 2x =2x - 2x + 6 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3- x = 6 }}} \\ \\[/tex]

Now, Adding 3 to both sides we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3 + 3- x = 6 + 3 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad- \: x = 9 }}} \\ \\[/tex]

Now, Multiplying both sides by (-1) we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (- 1)(- x) = ( - 1)9 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = - 6 }}} \\ \\[/tex]

Therefore,

Answer:

x = 80 - 54

Explanation:

The whole angle is 80 degrees, and the other part is 54 degrees, so subtract 54 from 80 to get the other part (x).

Answer:

[tex]\mathrm{1 \dfrac{ 1 }{ 6 }\:cups}[/tex]

Step-by-step explanation:

Given from the graph:

There is  [tex]\frac{1}{2}[/tex] cups of paint for one jar

There are 3 cups of paint for three jars

There is 1 [tex]\frac{1}{2}[/tex] cups of paint for one jar

There is 2 cups of paint for one jar

total amount of jars = 6

But since we need to find the amount of cups in each jar, we do:

[tex]\dfrac{ 1 }{ 2 } +3+1 \dfrac{ 1 }{ 2 } +2[/tex]

Add [tex]\frac{1}{2}[/tex] and 1 [tex]\frac{1}{2}[/tex]

[tex]2+3+2[/tex]

Add 2 and 3

[tex]5+2[/tex]

Add 5 and 2

[tex]7[/tex]

total cups of paint = 7

Then we need to find how much paint could be splitted equally among the 6 jars, so we do the following:

total amount of jars = 6

total cups of paint = 7

We divide the total amount of jars by the total cups of paint

7 ÷ 6

Divide 7 by 6

[tex]\dfrac{ 7 }{ 6 }[/tex]

[tex]= 1 \dfrac{ 1 }{ 6 }[/tex]

[tex]\mathrm{Answer: 1 \dfrac{ 1 }{ 6 }\:cups}[/tex]

The number of jars of jam that has to be sold in order to break even is 106,250.

The minimum sales price is $24.36.

The monthly profit is $5,097.12.

The price per customer is $205.34.

The ROI is 106.68%.

Breakeven quantity = fixed cost / price – variable cost per unit

$42500 / (1.2 - 0.8) = 106,250

Minimum price = (fixed cost / breakeven sales) + variable cost

($562,795.00 / 61,755) + $15.25 = $24.36

Profit = revenue - total cost

Revenue = 443 x 28.99 = $12,842.57

Total cost = $3692 + (9.15 x 443) = $7,745.45

Profit = $12,842.57 - $7,745.45 = $5097.12

Price = (profit +  total cost) / number of customers

Total cost = $2,345 + (16.90 x 45) = $3,105.50

($6,135.00 - 3105.50) / 45 = $205.34

ROI = (profit / cost of the investment) x 100

Cost = fixed cost + variable cost

$5,750 + (0.80 x 4175) = $9090

Profit = total revenue - cost

(4.5 x 4175) - 9090 = $9,697.50

ROI = $9,697.50 /  $9090 = 106.68%

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

1 mile = 8.5 minutes

Step-by-step explanation:

Determining the equation:

Kira ran 8 1/5 miles in 69 7/10 minutes.

⇒ Kira = 8 1/5 miles = 69 7/10 minutes

⇒ 41/5 miles = 697/10 minutes

Simplifying both sides:

⇒ 41/5 miles = 697/10 minutes

⇒ 41 miles = 697/2 minutes

Using cross multiplication:

⇒ 41 × 2 miles = 697 minutes

⇒ 82 miles = 697 minutes

Dividing 82 both sides:

⇒ 82 miles = 697 minutes

⇒ 82/82 miles = 697/82 minutes

⇒ 1 mile = 8.5 minutes

Answer:

That would be :

4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

PROOF:        y + 5x = x² + 10

                    (4x - 10) + 5x = x² + 10

                     4x - 10  =  x² -5x + 10

   0 = x2 – 9x + 20  (liked terms are grouped and simplified)

PROOF:      4x - 10  =  x² -5x + 10

                  4x = x² -5x + 10 + 10

                   0  = x² -5x -4x + 20

                   0  = x² - 9x + 20

Solving:

            x² - 9x + 20 = 0

            x² - 5x - 4x + 20 = 0

            (x - 5) (x - 4)  = 0

         ⇒ x = 4  (as question says) OR x = 5

Step-by-step explanation:

hope this helps

Answer:

D,E

Step-by-step explanation:

Step-by-step explanation:

To find volume of triangular prism the formula is : 1/2 base× height × length

so,1/2 × 7cm × 6cm × 10cm

420cm³/2

= 210cm³

254.47cm^2

Step-by-step explanation:

A= pi x 3x3

= 9pi

x2 (there is 2 circles)

18pi

C=pi x D

= pi x 6

= 6pi

Width of rectangle wrap perfectly around the circle, so the circumference of 6pi will become the width of the rectangle

Rectangle:

A=lxw

= 10.5 x 6pi

= 63pi

Add up:

63pi + 18pi = 81pi

81pi = 254.469.....

Round to nearest 100th would be 254.47cm^2

(100th is 1/100= 0.01)

Hope this helps!

Answer:

r={21}

Step by Step Explanation:

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

PREMISES

Two times three plus a number, say, r=27

ASSUMPTIONS

Let r=the number

CALCULATIONS

The numerical expression “two times three plus a number r=27” can be denoted as:

(2×3)+r=27

6+r=27

6–6+r=27–6

0+r=27–6

r=21

PROOF

If r=21, then the equations

(2×3)+r=27

6+21=27 and

27=27 prove the root (zero) r=21 of the statement (2×3)+r=27

Answer:

5 and 6

Step-by-step explanation:

let the 2 numbers be x and y , then

3x + 2y = 28 → (1)

2x + 3y = 27 → (2)

multiplying (1) by 2 and (2) by - 3 and adding will eliminate x

6x + 4y = 56 → (3)

- 6x - 9y = - 81 → (4)

add (3) and (4) term by term to eliminate x

0 - 5y = - 25

- 5y = - 25 ( divide both sides by - 5 )

y = 5

substitute y = 5 into either of the 2 equations and solve for x

substituting into (1)

3x + 2(5) = 28

3x + 10 = 28 ( subtract 10 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

The 2 numbers are 6 and 5