A rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?
44 cm
70 cm
34 cm
17 cm

Answers

Answer 1

Answer:

34 cm

Step-by-step explanation:

Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.

Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.

⇒ Perimeter of rectangle = L + S + L + S

⇒ Perimeter of rectangle = 2(L) + 2(S)

⇒ Perimeter of rectangle = 2(L + S)

Now, let's substitute the length and the width in the perimeter and simplify.

⇒ Perimeter of rectangle = 2(10 + 7)                                                [L = 10; S = 7]

⇒ Perimeter of rectangle = 2(17)

Perimeter of rectangle = 34 cm

Answer 2

Answer: 70 cm

Step-by-step explanation: 10 x 7 = 70

hope this helps


Related Questions

The hanger image below represents a balanced equation, write an equation to represent the image.

Answers

So each side is even so you know that c = 12. Then you can see there are 4 c’s. So you multiply 4 X ? = 12 or 4/12 = ?. So the answer is 3. For each hanger balance, 4 hangers, and 12 weight on each side. So the equation is 12 divided by 4 = 3 or 12 divided by 4 = ?.

If f (x)=
(3 + x)/
(x-3)
what is f(a + 2)?

Answers

[tex]f(x) = \frac{3 + x}{x - 3} [/tex]

[tex]f(a + 2) = \frac{3 + a + 2}{a + 2 - 3} = \frac{a + 5}{a - 1} [/tex]


You deposit $2000 in an account earning 8% interest compounded monthly. How much will you
have in the account in 15 years?
Round to the nearest penny.
$

Answers

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

find the mean, variance, and standard deviation of sampling distribution of the sample population p=.2 and n=107

Answers

Answer:

2923 is your p is equal to 2 and n

What is the vertex of this quadratic function? y=6(x+1)2-9 Please Help!

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]

Using the illustrations below, determine the relationship between the volumes of
the two given solid figures. Put a check ( / ) on the blank if the sentence states
the correct relationship

Answers

Answer:

I don't see the illustrations

Evaluate the triple integral

Answers

Answer:

Wow thats hard

Step-by-step explanation:

though luck

PLS HELP MARK AS BRAINLIEST
Suppose that the relation S is defined as follows.
S= {(4, p), (p, 0), (3, 3), (7, m)}
Give the domain and range of S.
Write your answers using set notation.

Answers

Answer:

Domain= {4,p,3,7}

Range= {p,0,3,m}

Step-by-step explanation:

⇒Domain: is the set of the first number in every pair.

⇒Range: is the set of the second number in every pair

TO FIND THE DOMAIN: S= {(4,p),(p,0),(3,3),(7,m)}

so Domain= {4,p,3,7}

TO FIND THE RANGE: S= {(4,p),(p,0),(3,3),(7,m)}

so Range= {p,0,3,m}

Hope this helps :)

HELP ME PLEASE 30 points, HELP

Answers

Answer:A

Step-by-step explanation:

When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.

Answer: the answer is B

Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.

How to sketch this graph?

Answers

Answer:

get a book from shop and draw with ruler and write the numbers too

What is the equation of the trend line in the scatter plot?

Answers

Answer:

y=(x-1)

Step-by-step explanation:

What is the value of h?

21 + h = 345

Answers

Answer:

324

Step-by-step explanation:

21 + h = 345

group like terms

h = 345 - 21

h = 324

Answer:

h=324

Step-by-step explanation:

21+h = 345

(Substituting the equation)

h=345 - 21

h= 324

!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!

A signal can be sent from one location to another by running different colored flags up a flagpole, one above the other. There are 15 different colored flags to choose from but only 8 flags will be flown. Find the number of different signals consisting of 8, if the first flag must be blue.
If the first flag is blue then the number of different signals consisting of 8 flags is ??

Answers

Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.

In this problem, the order in which the flags are visited is important, hence the permutation formula is used to solve this question.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

[tex]P_{(14,7)} = \frac{14!}{7!} = 17,297,280[/tex]

There are 17,297,280 different signals consisting of 8 flags.

More can be learned about the permutation formula at https://brainly.com/question/25925367

7
Perez Company is considering an investment of $29,480 that provides net cash flows of $8,900 annually for four years.
(a) What is the internal rate of return of this investment? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from
the tables provided. Round your present value factor to 4 decimals.)
(b) The hurdle rate is 7%. Should the company invest in this project on the basis of internal rate of return?
Complete this question by entering your answers in the tabs below.
Book
Required A
Required B
Hint
What is the internal rate of return of this investment?
Present value factor
Internal rate of return
%
Esk
< Retired A
Required B
Print
erences

Answers

The internal rate of return of this investment is 8%.

If the hurdle rate is 7%, the investment should be invested in.

What is internal rate of return?

Internal rate of return is a capital budgeting method that determines the the discount rate that equates the after-tax cash flows from an investment to the amount invested

If the internal rate of return is greater than the hurdle rate, the investment should be undertaken. If this is not the case, the investment should not be invested in.

IRR can be calculated with a financial calculator

Cash flow in year 0 =  $-29,480

Cash flow each year from year 1 to 4 = 8900

IRR = 8%

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Write an equation of the line with a slope of 0 and y -intercept of 5 .

y=

Answers

Answer:

y=-5

Step-by-step explanation:

Admission to the county fair is $15, and each ride ticket costs $1.75. Write an expression to describe the total cost of 8 rides.

Answers

1.75x + 15

x=8

1.75(8) + 15
14 + 15 = 29

The revenue generated by a company manufacturing lawn mowers is
R=−0.9x2+90.2x , where x represents the number of mowers produced. The cost to produce the mowers is C=29x+500 , where x is the number of mowers produced.

Answers

The profit generated in terms of x is  −0.9x²+61.2x - 500

How to calculate profit functions

Given the following parameters

Revenue generated by a company = R=−0.9x²+90.2x

The cost to produce the mowers C(x) =  29x + 500

Determine the profit function

p(x) = R(x) - C(x)

P(x) = −0.9x²+90.2x  - (29x + 500)

P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500

Hence the profit generated in terms of x is  −0.9x²+61.2x - 500

Learn more on profit function here: https://brainly.com/question/25638609

exg(x), where g(0) = 6 and g'(0) = 1, find f '(0).

Answers

your answer is h (20’mm) x^c’’

Samantha collected 352 books to give to her students. If she gives 4 books to her students each day, how many days will it take her to give all of her books away?

Answers

Answer: 88

Step-by-step explanation:since we know 4 books are given each day and the total is 352 . 352 divided by 4 is 88

Answer:

the answer is 88

Step-by-step explanation:

352÷4=88

i need help with my homework

Answers

Answer:

B

Step-by-step explanation:

every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.

and Pythagoras is the best way to cancer the length of such a Hypotenuse.

AD² = 2² + 2² = 8

AD = sqrt(8)

AB = AD

BC² = 4² + 2² = 16 + 4 = 20

BC = sqrt(20)

CD = BC

so, the perimeter is

AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =

= 14.60112616... units ≈ 14.6 units

Somebody please help me

Answers

Answer:

your answer will be a right

Step-by-step explanation:

Find nth term of the sequence: 11, 15, 19, 23​

Answers

The term

tn=a+(n−1)d

Where a= first term and d= common difference

hope it helps...!!!

Your answer should be 43!

The function f(t) = 3 cos(pi over 6t) + 5 represents the tide in Blastic Sea. It has a maximum of 8 feet when time (t) is 0 and a minimum of 2 feet. The sea repeats this cycle every 12 hours. After nine hours, how high is the tide? 12 feet 5 feet 4.5 feet 2.5 feet

Answers

Answer:

5 feet

Step-by-step explanation:

[tex]f(t) = 3 cos \bigg( \frac{\pi}{6} t\bigg) + 5 \\ \\ plug \: t = 9 \\ \\ \implies \: f(9) = 3 cos \bigg( \frac{\pi}{6} \times 9 \bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \frac{3\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \pi + \frac{\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = - 3 cos \bigg( \frac{\pi}{2}\bigg) + 5 \\ [ \because \: cos ({\pi}+\theta) = -\cos \theta]\\\\\implies \: f(9) = - 3 (0) + 5 \\ ( \because \: cos \frac{\pi}{2} = 0) \\ \\ \implies \: f(9) = 0 + 5 \\ \\ \implies \: \huge{ \orange{f(9) = 5 }}[/tex]

A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is a. 128 b. 56 c. 512 d. 24

Answers

Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:

b. 56.

The order in which the items are selected is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 items are chosen from a set of 8, hence:

[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]

Hence option b is correct.

More can be learned about the combination formula at https://brainly.com/question/25821700

4x+11y=7

4x+3y=-1
what are the steps

Answers

Answer:

x = -1, y = 1

Step-by-step explanation:

Given that:

[tex]\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}[/tex]

Isolate x for 4x + 11y = 7 which ⇒ [tex]x=\frac{7-11y}{4}[/tex]

Substitute [tex]x=\frac{7-11y}{4}[/tex] into the equation: which is:

[tex]\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}[/tex]

Drop Down to:

[tex]\begin{bmatrix}7-8y=-1\end{bmatrix}[/tex]

Isolate y for 7-8y = -1: y = 1

Thus, [tex]x=\frac{7-11y}{4}[/tex]

Substitute y = 1

Hence,

[tex]x=\frac{7-11\cdot \:1}{4}=-1[/tex]

Solution ⇒ x = -1 and y = 1

~learn with lenvy~

Answer:

x = -1 , y = 1

Step-by-step explanation:

Starting with x

x = 7 - 11y/4

4 × 7-11y/4 + 3y = -1

7 - 8y = -1

Now for y

7-8y = -1 ⇒ y = 1

Hence, x = -1 and y = 1

[RevyBreeze]

You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P500 stock index that represents the stock market, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%.
a. Draw the CML (Capital Market Line) and your funds’ CAL (Capital Allocation Line) on an expected return-standard deviation diagram. Indicate their slopes.
b. Suppose your client ponders whether to switch the 70% that is invested in your fund to the passive portfolio. Explain to your client the disadvantage of the switch.
c.In the context of part b, Show him the maximum fee you could charge (as a percentage of the investment in your fund, deducted at the end of the year) that would leave him at least as well of investing in your fund as in the passive one.)
(Hint: The fee will lower the slope of his CAL by reducing the expected return net of the fee.)

Answers

The capital market line with fee will be 0.3771 and the capital allocation line will be 0.24.

How to calculate the slope?

The slope of the capital market line will be:

= (17% - 7% - f)/27

= (10% - f)/27

f = 0.3771

The slope of the capital allocation line will be:

= (13% - 7%) / 25%

= 0.24

The reward to variability ratio will be:

= (17 -7)/27

= 0.3771

The client's reward to variability ratio will be:

= (13 - 7)/25

= 0.25

This shows that the client will be disadvantaged of the switch since it's lower.

Learn more about capital on:

https://brainly.com/question/25672041

If the odds against an event are 5​:8​, then the probability that the event will fail to occur is​

Answers

Answer:

Step-by-step explanation:

5/8

Odds against event are 5:8

Means ration of not happening of work =

5/8

Sample space has 8+5=13 possibilities

Probability it being to work=

8/13

A. 28/12
B. 12/28
C. 7/3
D. 3/7

Answers

Answer:

28/12 Samsung felo tee Samsung felo tee Samsung felo tee

if the scale of a map is 1 in = 62.5 mi, how long is the distance on the map if the actual distance between the two cities is 218.75 miles

Answers

Answer:

3.5in

Step-by-step explanation:

so what i would do is i would divide 218.75 by 62.5

218.75/62.5= 3.5

3.5 in= 218.75 mi

hope that hepls :)

4. Jorge has a mass of 45 kilograms and
is skateboarding with a velocity of
3 meters/second north. What is Jorge's
momentum? The units for momentum are
kg-m/s north.

Answers

Jorge's momentum given his mass and the velocity while skateboarding is 135kg-m/s north.

What is momentum?

Momentum can be described as the impetus that is gained by an object that is motion. Momentum is velocity multiplied by mass. When put simply, momentum can be described as mass in motion. Thus, when an object is moving, it has momentum.

Momentum velocity x mass

45 x 3 = 135kg-m/s north.

To learn more about momentum, please check: https://brainly.com/question/24030570

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