Solve for r. -4 + 2r-5r = 17 = [?] r =​

Answer:

[tex] {(2n + 1)}^{2} = 4 {n}^{2} + 4n + 1 = 2(2 {n}^{2} + 2n) + 1[/tex]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=r \theta[/tex]

[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}[/tex]

The area of a the trapezoid given in the diagram is calculated as: B. 96 cm².

Area of trapezoid = 1/2(a + b)h

Given the following:

Area of the trapezoid = 1/2(12 + 20)6

Area of the trapezoid = 96 cm²

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Answer:

see the attachment.

Answer:

C, -1.5

Step-by-step explanation:

edge

Answer:

interest rate= interest earned multiply 100% then divide by the amount and time

R=I/Pt

I=96.60$, P=1200$, t=42/12=3.5

R= 96.60×100%/1200×3.5

=2.3%

Answer:

elimination

Step-by-step explanation:

Answer:

13•5ft

Step-by-step explanation:

1cm = 4.5ft

3cm = x

cross multiply

x= 3×4•5

:- x = 13•5ft

[tex] \bold{ \underline{Solution }}[/tex]

[tex] \bold{ \underline{ \underline{Given}}}[/tex]

y = 9 feet

[tex] \bold{to \: find}[/tex]

Volume of cube

[tex] \bold {\underline{lets \: begin}}[/tex]

[tex]y \: = 9 \: feet \: [/tex]

Volume of cube= (S)³

[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]

so,, 729 is our final answer

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Hey there!

Your formula: a * a * a or you could simply say a^3

Your equation;

9^3

= 9 * 9 * 9

= 81 * 9

= 729

Therefore, your answer should be:

729

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The events of selecting the picture of Paris and another picture of Paris with replacement are independent events.

The probability of picking two Paris pictures is 25/144.

Independents events are events whose occurrence do not depend on each other. They are random event.

The probability of picking two Paris pictures = (number of Paris pictures / total number of pictures) x (number of Paris pictures / total number of pictures)

5/12 x 5/12 = 25 / 144

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[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]

Answer & step-by-step explanation:

Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)

Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:

Answer:

0.75

Step-by-step explanation:

4/4=1

3/4=0.75

2/4=1/2=0.5

1/4=0.25

Answer:

5

Step-by-step explanation:

1+2+2+3+5+6+6+8+8+9/10=5

Answer:

30 is an odd number

Step-by-step explanation:

hope it help

Question:

Which of the following is a closed statement?

Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

The percentage of the seats in the theater were filled by the 6th graders on the trip is 78%.

Percentage is a measure of frequency that is expressed as the fraction of a number out of 100.

The percentage of the seats in the theater were filled by the 6th graders = (number of filled seats / total number of seats) x 100

(2496/3200) x 100 = 78%

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The amount save by Marcia in interest by consolidating the two balances is $133.92.

The total monthly payment for APR of 16% is calculated as follows;

Total monthly payments for 16% =$39.38x48 = $1890.24

Total monthly payments for 12% APR = $36.59*48 = $1756.32

A = $1890.24 - $1756.32

A = $133.92

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Answer

Hope it helps

Answer:

Answer:

57.1 degrees

Step-by-step=

32.9+90=122.9

180-122.9=57.1

If you catch 3.33 frogs. Then the number of the frogs that were caught by your friend will be 16.67.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You and your friend got 20 frogs and your friend caught 5 times more.

Let you catch x frogs. Then the number of the frogs that were caught by your friend will be 5x.

x + 5x = 20

     6x = 20

       x = 3.33

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Let you caught x and friend caught 5x

Now

5x=16.67

Answer: A

Step-by-step explanation:

On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.

So, the reflection of the point is: (8, -7)

Therefore, Option(a)(8, -7) is true.

Answer:

C. Equilateral

Step-by-step explanation:

Every pair has equal angle

Answer:

A

Step-by-step explanation:

BECAUSE IT IS KIND OF ANGEL

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

Explanation:

Draw out a right triangle as you see below.

Let's use the pythagorean theorem to find 'a'

[tex]a^2 + b^2 = c^2\\\\a = \sqrt{c^2 - b^2}\\\\a = \sqrt{(9.9)^2 - (7.3)^2}\\\\a = \sqrt{44.72}\\\\a \approx 6.6873\\\\a \approx 6.7\\\\[/tex]

Answer:

2

Step-by-step explanation:

0.75*32=24 is 75% of 32

0.8*32=25.6 is 80% of 32

you need to round to 26 as you cant get .6 of a mark

26-24=2

Step-by-step explanation:

a rhombus.

all 4 sides are of equal length.

Check the picture below.

bear in mind that for a triangle, the height or "altitude" is the perpendicular distance from the top of the triangle to the base.

Answer:

1) (I) 1/4,  2) (B) 11/20,  3) (G) 3/20,  4) (C) 4/5

Step-by-step explanation:

Probability is Desired Outcome/All Possible Outcomes. For the first problem, we want apples, which is 25. Altogether though, there are 100 options. So, we get 25/100 or 1/4. For the second, oranges and grapes together (because either would be a desired outcome) are 55. So, we have 55/100, or 11/20. For the third, apples and oranges, the max can be 15, because that's how many total oranges (the lesser of the two) and you can't have anything other than that. So, we get 15/100 or 3/20. Finally, we're looking for everything but bananas, which is 100-20, or 80. For that, we get 80/100 or 4/5.

Hope this helped!

Answer:
Question 1: The Students favorite fruit is an apple is 1/4
Question 2: 3/20

Question 3: 2/5
Question 4: 4/5

Step-by-step explanation:

* All of the fruits equal up to 100, so 25 percent of 100 is 1/4 or 0.25
* Do 100/55. It should give you 5.8181818181818181818181818181818 which would be at least 3/20 because it is closer to 1.
* 25+15=40. 2/5=0.4 which is 40% of 100.