Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?

Answer:

  6.32 units

Step-by-step explanation:

The line shown can be considered to be the hypotenuse of a right triangle that has side lengths of 2 and 6. These values can be found by counting the vertical and horizontal numbers of grid squares between the two end points.

The Pythagorean theorem is used to find the length of the hypotenuse. It tells you the square of the hypotenuse is equal to the sum of the squares of the sides:

  AB² = 2² +6²

  AB² = 4 + 36 = 40

Taking the square root, you find ...

  AB = √40 ≈ 6.32456

__

We want to round this value to the nearest hundredth, so we look at the thousandths digit to see whether to round up. That digit is 4, so we simply delete all the digits to the right of the hundredths place.

Line AB is 6.32 units long.

Answer:

x is either 77 or -47

Step-by-step explanation:

Answer: either 77 or -47

Step-by-step explanation:

Answer:

a is correct

b. wrong = 6x-12

c wrong = -12xy+30x

d wrong = 15x²+10xy

e correct

f wrong = 2x-1

g wrong = 4(3x+1)

h correct

Step-by-step explanation:

Answer:

3 1/8, 8 1/5, 8 1/3

Step-by-step explanation:

Answer:

184 boxes

Step-by-step explanation:

Hope it helps:)

Answer: the answer is inside the triangle

Answer:

A

Step-by-step explanation:

5 2/3 - 2 1/2 = 3 2/3 - 1/2 = 3 4/6 - 3/6 = 3 1/6

Applying the inscribed angle theorem, the missing measures are:

1. m∠EDA = 29°

2. m∠BDC = 21°

3. m∠BDC = 21°

4. measure of arc AB = 80°

5. m∠AEB = 40°

6. m∠AEB = 29°

7. m∠BAC = 21°

8. measure of arc ED = 90°

9. m∠ECD = 45°

10. m∠ACB = 40°

11. m∠EBD = 45°

12. m∠ADB = 40°

13. m∠CAD = 45°

14. m∠EAB = 111°

15. m∠EBC = 90°

The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).

The diagram showing circle P is attached below. We are given the following:

measure of arc EA = 58°

measure of arc BC = 42°

measure of arc CD = 90°

Thus:

1. m∠EDA = ½(measure of arc EA)

m∠EDA = ½(58)

m∠EDA = 29°

2. m∠BDC = ½(measure of arc EA)

m∠BDC = ½(42)

m∠BDC = 21°

3. m∠BEC = ½(measure of arc BC)

m∠BDC = ½(42)

m∠BDC = 21°

4. measure of arc AB = 180 - 58 - 42

measure of arc AB = 80°

5. m∠AEB = ½(measure of arc AB)

m∠AEB = ½(80)

m∠AEB = 40°

6. m∠ECA = ½(measure of arc EA)

m∠AEB = ½(58)

m∠AEB = 29°

7. m∠BAC = ½(measure of arc BC)

m∠BAC = ½(42)

m∠BAC = 21°

8. measure of arc ED = 180 - 90

measure of arc ED = 90°

9. m∠ECD = ½(measure of arc ED)

m∠ECD = ½(90)

m∠ECD = 45°

10. m∠ACB = ½(measure of arc AB)

m∠ACB = ½(80)

m∠ACB = 40°

11. m∠EBD = ½(measure of arc ED)

m∠EBD = ½(90)

m∠EBD = 45°

12. m∠ADB = ½(measure of arc AB)

m∠ADB = ½(80)

m∠ADB = 40°

13. m∠CAD = ½(measure of arc CD)

m∠CAD = ½(90)

m∠CAD = 45°

14. m∠EAB =  ½(180 + 42)

m∠EAB = ½(222)

m∠EAB = 111°

15. m∠EBC = ½(measure of arc EDC)

m∠EBC = ½(180)

m∠EBC = 90°

Learn more about the inscribed angle theorem on:

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Answer:

B) Obtuse scalene

Step-by-step explanation:

Angle of 122 > 90 so it's obtuse

7.3≠2.9≠5.3 so it's scalene

Answer:

b

Step-by-step explanation:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z (-_-)

Answer:

No it is not a factor of 56

Answer:

No

Step-by-step explanation:

6,12,18,24,30,36,42,48,54,60

The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is

1/2 • 4.6 mm • 3.4 mm = 7.82 mm²

[tex](x + 1 - \frac{1}{2} \sqrt{10)} [/tex]

Answer:

D)

Step-by-step explanation:

100 - 32 + 24/4 * 2

100 - 32 + 6 * 2

100 - 32 + 12

100 - 32 + 12 = 80

Answer:

your answer would be C.

Step-by-step explanation:

even though it looks like you would do 24/4 you would actually multiply first. you would multiply 4 by 2 and then you would divide and then add and then subtract. You could use PEMDAS here again. since there's no parentheses and no exponents then you multiply and then divide and then go on to add and then subtract.

also sorry for the late response my data didn't want to work because I currently in school

Answer

either 168 or 164thats all i can tell you

Step-by-step explanation:

Answer:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X

Step-by-step explanation:

Answer:

3/12 or 1/4

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

3/4 x 1/3​

=> 3/12

=> 1/4

Therefore, 1/4 is the answer.

Hoped this helped.

Answer: $108

Step-by-step explanation:

what is 144 / 4 ? 36 = one meal ticket

what is 36 x 3 ? 108

each game ticket costs 108 dollars

Answer:

the answer is

Step-by-step explanation:

p, price per pound of cheese

The required price per pound of cheese is approximately $0.11.

The process of removing unnecessary terms, factors, or operations from an expression using arithmetic and algebraic rules is known as simplification.

Here,
If Justin spent $15 at the grocery store and the loaf of bread cost $3, then the amount he spent on cheese is:

$15 - $3 = $12

To find the price per pound of cheese, we need to divide the total cost of the cheese by the number of pounds. We are given that Justin bought 112 pounds of cheese, so we can set up the following equation:

price per pound of cheese = total cost of cheese/number of pounds of cheese

Plugging in the values we know, we get:

price per pound of cheese = $12 / 112 pounds

price per pound of cheese = $0.11

Therefore, the price per pound of cheese is approximately $0.11.

Learn more about simplification here:

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Answer:

15.07964

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

not sure how many decimals you want lol, but here ya go:

15.07964474

for future reference you can plug radius (r) into

c = 2pi x r

to get the circumference :)

Answer:

x = 5 and y = 8.7

See attached image for working

Step-by-step explanation:

Since it's a right angle triangle you can use sin and cos.

Answer: {f(x)∈R∣f(x)≥0}

Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .

Answer:

Y>0

Step-by-step explanation:

To determine the range of this function, we must first evaluate the domain. The square root function is a nice, neat function as long as the radicand isn’t negative. In this function, the radicand becomes negative after x gets smaller than -5, so the domain of this function is [-5, infinity).

Now that we know the domain, we can calculate the range. Beginning with the left boundary, we can substitute -5 into the function to see what y equals at this x-value. At -5, y equals 0, so the minimum value for the range is 0; with the right boundary, substituting infinity yields infinity, so the range is any number greater than 0.

The amount that William would save by paying cash instead of credit card is $1

This refers to the amount deducted from the value of a certain commodity so that there would be a reduced price for the good.

Hence, given that there is a discount of $0.05 per gallon if you pay with cash

William fills 20 gallons of gas

The amount saved by paying cash by William would be 0.05 * 20 = $1

Read more about discount here:

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Answer:

x = 4

Step-by-step explanation:

3 + x = 7 ( isolate x by subtracting 3 from both sides )

x = 7 - 3 = 4

Answer:

x=4

Step-by-step explanation:

3+x=7

Subtract 3 from both sides as Subtraction is the opposite of Addition.

So 7-3 = 4

X=4

[tex]\dfrac{d}{dx} \left(e^{x^2} \cdot x^2\right)\\\\=e^{x^2} \dfrac{d}{dx} (x^2) + x^2 \dfrac{d}{dx}\left (e^{x^2}\right)\\\\=e^{x^2} \cdot 2x + x^2 \cdot e^{x^2} \cdot \dfrac{d}{dx} (x^2)\\\\=2x e^{x^2} + 2x^3 e^{x^2}\\\\=2xe^{x^2}(1+x^2)[/tex]

Answer:

Area: 121π ft^2

(or just 380 ft^2)