Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet. If Emma’s model has a wingspan of 30 centimeters, what is the length of the model ?

Answer:

[tex]\displaystyle s=\frac{3\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Values

We need to find the angle s in the interval [π/2,π] where:

[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]

There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.

The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:

[tex]\displaystyle s=\frac{\pi }{4}[/tex]

The other angle is its supplementary angle:

[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]

Only this last angle lies on the required interval, thus:

[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]

Answer:

Step-by-step explanation:

1. 120+21=141

2. 21-3=18

3. 7x-21

4. 20+x

5. 45+4x

6. 40+5c

7. 20+22r+26s

It will be nice if you give me brainliest

Good luck!

Answer:

$32378.416

Step-by-step explanation:

We are asked to find: Thirty percent of these graduating seniors owe more than what amount.

More than 30% = Finding the z score of the 70% percentile.

The z score = 0.524

Hence, using z score formula:

z = (x-μ)/σ

0.524 = x - $29,400/$5,684

0.524 × 5684 = x - 29400

2978.416 = x - 29400

x = 29400 + 2978.416

x = $32378.416

Therefore, Thirty percent of these graduating seniors owe more than what amount $32378.416.

Answer:

yes, Jenny has enough flour for both recipes

Step-by-step explanation:

First, find what Jody and Jenny need for both their recipes. For this, we need a common denominator, 8

1 5/8=13/8

3/4=6/8

13/8+6/8=19/8

Jody has 3 1/2 cups of flour, which is 7/2 cups or 28/8.

Now we need to make sure that 28/8 is greater than 19/8

28>9.... so she has enough flour!

ok

uibciuendsjdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfffffffffffffff

The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

Rounding is a process to estimate a particular number in a context.

To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.

Now the given weights in pounds of the fruits are,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

Peaches = 2.608

Pears = 3.592

The given weights in pounds of the vegetables are,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

Potatoes = 3.441

Red onions = 1.863

Now picking the 4 fruits,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

To round the weight to the nearest 0.1 pounds we see the digit at 0.1 place, if the digit right to the 0.1 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.068 = 2.1

1.07 = 1.1

1.031 = 1.0

3.502 = 3.5

Thus, the weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

Now picking 4 vegetables,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

To round the weight to the nearest 0.01 pounds we see the digit at 0.01 place, if the digit right to the 0.01 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.317 = 2.32

1.862 = 1.86

1.402 = 1.40

2.556 = 2.56

Thus, the weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

To learn more about rounding of digit :

https://brainly.com/question/1285194

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Answer:

$316

Step-by-step explanation:

Since each cardigan costs $79 and there are 4 cardigans you would need to multyply 79×4. Which is $316. Kelly would be billed $316 for all four cardigans.

Answer:

A. x=32 and x=o

YOUR WELCOME

Answer: A. x = 32 and x = 0

Explanation: Solve using the quadratic formula

Learn more: https://brainly.com/question/17177510

The answer is D :)

hope this helps! <3

Answer:

D) 9 3/7

Step-by-step explanation:

4 2/7 × 2 1/5

=30/7 × 11/5

= 30 × 11/7 × 5

=330/35

=330 ÷ 5/35 ÷ 5

=66/7 = 9 3/7

Answer:

-6

Step-by-step explanation:

If x=3 and y=6, 4x-3y=-6 because 4x with x=3 makes the first number 12. 3y with y=6 makes the result 18, so now the equation is 12-18. 12-18=-6, so 4x-3y with x=3 and y=6 will equal -6.

Hopefully the answer and explanation helps!

Answer:

-6

Step-by-step explanation:

All you have to do is plug in the numbers. So it should look like 4(3) - 3(6). Now all you have to do is solve. 4 x 3 = 12. 3 x 6 = 18. Now subtract. 12 - 18 = -6

Answer:

hope it helps..

Step-by-step explanation:

PLEASE THANK MY ANSWER

Answer:

y=7x+4

Step-by-step explanation:

Answer:

y= -x+8

Step-by-step explanation:

y=m+b Replaced M with -1 which will be -x.

y= -x+b Then replace the b with 8.

y= -x+8  

You do -x because its the same as -1.

Answer:

y = -x + 8

Step-by-step explanation:

Hi there!

We are given that the slope of a line is -1 and the y intercept of that same line is 8

We want to find the equation in slope-intercept form

Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept

As we are already given the values of the slope and the y intercept, we can simply substitute these values into the formula to find the equation.

First, substitute -1 as m in the equation:
y=-x+b (when 1 is the coefficient, you don't need to write '1' in front of a variable; when -1 is the coefficient, putting only a - sign will suffice)

Now substitute 8 as b in the equation

y = -x + 8

Hope this helps!

See more on this topic here: https://brainly.com/question/27187813

Answer:

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

Maybe 55

Step-by-step explanation:

Answer:

D. To provide a contrast to the actual enormity of the Biltmore

Step-by-step explanation:

Usually, when something is in "quotes", it's used to indicate sarcasm, emphasis, or a direct quote. This indicated emphasis.

Answer:

4

Step-by-step explanation:

If there are 5 times as many the. terriers would make the 6th part.

So, 24÷6= 4

There are 4 terriers and 20 labs

Answer:

Year 7

Step-by-step explanation:

Hopefully this is helpful.

Answer:

ik im late and the other person was right but theres proof for the newcomers :)

Step-by-step explanation:

Answer:

-2^3= -8

8^2= 64

9^-1= 1/9

(-4)^-2= 1/16

Step-by-step explanation:

Wish this can help you.

The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Simplify each expression, then we have

-2³ = - 8

8² = 64

9⁻¹ = 1/9

(-4)⁻² = 1 / (-4)² = - 1/16

The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.

More about the value of the expression link is given below.

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Answer:

.001 or 1 thousandth

Step-by-step explanation:

.01/10=.001

Answer: 20

Step-by-step explanation:

The ratio is 3/4, or 0.75. The team scores 3-pt. baskets on 75% of shots taken. 27 x .75 = 20.25 (round to 20)

Answer:

1.5

Step-by-step explanation:

Cheddar Corn Caramel Corn

        10                         15

        20                         30

        30                    45

(10,15) (20,30) (30,45)

if you graphed this the unit rate would be (1,1.5)

the constant of proportionality is 1.5

Answer:

hola

Step-by-step explanation:

xddd

The probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The veterinarian records whether the client owns a cat, a dog, neither, or both.

From the table:

Client owns a dog = 35

Owns a cat = 16

Probability that client owns a cat = 16/35

Thus, the probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.

Learn more about the probability here:

brainly.com/question/11234923

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Answer:

Nope

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

step 1, move -5 on the left side to the right side and change the sign then add up with 55

step 2, multiply 20 by (10 - 13x) by the associative property

step 3, add the coefficient of the variable x on the left side and move 20 to the right side by changing its sign

step 4, move -34x to the left side by changing the sign then add up with -17x

step 5, to find the x value, move the x coefficient to the right side and divide it, you get the value