MAPS A map of the eastern United States has a scale
where 3 inches = 25 miles. If the distance on the map
between Columbia, South Carolina, and Charlotte, North
Carolina, is 11.5 inches what is the actual distance
between the cities?

Step-by-step explanation:

in such cases we always try to split the complex figure into non-overlapping simple figures, calculate their areas and add them up.

what simple figures can we see here ?

I see a rectangle 80m × 130m.

and that leaves for me a right-angled triangle in the upper right corner with the legs of

250-80 = 170 m and 130-50 = 80 m

the area of a rectangle is

length × width

the area of a right-angled triangle is

leg1 × leg2 / 2

the individual areas are

80×130 = 10,400 m²

170×80/2 = 170×40 = 6,800 m²

and that gives us a total for the whole area

10400 + 6800 = 17,200 m²

Answer:

x = 10, AB = 57

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. From this, we have:

[tex] \frac{1}{2} (5x + 7 + 8x - 11) = 63[/tex]

[tex]13x - 4 = 126[/tex]

[tex]13x = 130[/tex]

[tex]x = 10[/tex]

[tex]5(10) + 7 = 50 + 7 = 57[/tex]

Answer:

Step-by-step explanation:

Given is the factored form of a quadratic function.

The standard form is:

Open parenthesis to convert it into standard form:

Answer:

Step-by-step explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

Answer:

multiply length with breadth which is 34 *42

Answer:1'428 sq ft because you multiply 34x42 witch= to 1,428

Answer: Choice B) [tex]\sqrt{63}[/tex]

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

Explanation:

Let's rewrite the given expression like so

[tex]3\sqrt{y+3}=\sqrt{3^2}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9(y+3)}\\\\[/tex]

We can see that the radicand is a multiple of 9 since 9 is a factor.

This immediately rules out choices C and D because 75 and 84 are not multiples of 9.

-------------

Plug in the smallest positive integer (1) for y to get

[tex]\sqrt{9(1+3)}=\sqrt{9(4)} = \sqrt{36}\\\\[/tex]

The radicand 36 is larger than the radicand for choice A (18), meaning we can rule out choice A. There's no way to get a radicand of 18 since y = 1 is the smallest we can go for.

We can however get to 63 by using y = 4

[tex]\sqrt{9(4+3)}=\sqrt{9(7)} = \sqrt{63}\\\\[/tex]

Showing that choice B is of the form [tex]3\sqrt{y+3}[/tex] where y is a positive integer, specifically when y = 4.

Answer:

Difference in weight is 24 once

Step-by-step explanation:

got it right

Z-scores are used to determine the probability of data. The z-score for the given parameters in normal distribution is -6.35

The formula given to calculate the z-score is expressed as:

[tex]z = \dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}} }[/tex]

Given the following parameters:

Mu = 1.36

n = 28
[tex]\sigma = 5[/tex]

Mean = 130

Substitute into the formula

[tex]z = \dfrac{130-136}{\frac{5}{\sqrt{28}} }\\ x = \frac{-6}{0.9449} \\z = -6.35[/tex]

Hence the z-score for the given parameters in normal distribution is -6.35

Learn more on z-score here: https://brainly.com/question/25638875

Answer:

2750=-510

Step-by-step explanation:

hope this helps ._.

Answer:

x + 29 = 41

Step-by-step explanation:

Trevon received some money, but we don't know how much, so we will represent that with x.

The money he received will be add the amount he had last friday, $29.

The equation will equal his current amount, $41.

Answer:

The options that show the Commutative Property of Multiplication are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)  

------------------------------

The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:

Of the options, the ones which show it are:

A) 4x5=5x4

C) (3 x 2) × 7 = 3 ×(2 x 7)

In C), on the left side, the first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.

Step-by-step explanation:

-lukelaws

Answer:

Step-by-step explanation:

These shows the commutative property.

Hope it helps~

Answer:

B

Step-by-step explanation:

Combine like terms

8x + x = 9x

Put the numbers in the correct format

x³ + 9x + 5

This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.

I hope this helps and please mark me as brainliest!

Answer:

The answer is B

Step-by-step explanation:

It is a cubic and a trinomial

Answer:

  A and C

Step-by-step explanation:

We can eliminate poor choices by estimating their relative sizes. And we can check the remaining choices by finding the exact volumes.

__

A hemisphere with radius 2, or a cone with dimensions of 4 or less, will have a much smaller volume than a sphere with radius 14. A cylinder with dimesions smaller than those of the sphere will have a smaller volume.

So, the only figures that might have similar volumes are the hemisphere and the cone.

  V = 1/2(4/3)πr³ = 2/3π(2 cm)³ = 16/3π cm³

  V = 1/3πr²h = 1/3π(2 cm)²(4 cm) = 16/3πcm³

__

The hemisphere (A) and the cone (C) have the same volume.

Answer:

C. 00

Step-by-step explanation:

Using power rule....

y = x²

y' = 2x        

Solving for y' - 2x......

y' - 2x

2x - 2x

0

I hope this helps!

Answer:

  (a)  3/8x +3/8y

  (d)  5/8x -5/8y -1/4x +y

  (e)  5/8x - 1/4x + y - 5/8y

Step-by-step explanation:

An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.

__

  (x -y)(5/8) -1/4x +y

  = 5/8x -5/8y -1/4x +y . . . . . use distributive property

  = 5/8x -1/4y +y -5/8y . . . . . . reorder terms

  = (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms

  = 3/8x +3/8y

19/12

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

Explanation:

Use the triangle inequality theorem to set up these three inequalities

If you were to apply substitution and solve for x, then you'd get these solutions in the order presented shown above

We'll ignore the third inequality. It's not very useful because we were already told that x > 0.

The first two inequalities combine to get 3/4 < x < 11/2

This is the range of possible x values so that triangle ABC is possible.

---------------

If we want angle CAB (or angle A for short) to be the largest of the triangle, then side BC must be the longest of the three sides.

The rule is: the largest angle is always opposite the longest side. This applies to triangles only.

Since BC is the longest side, this means BC > AB and BC > AC

---------------

Let's focus on the first inequality

BC > AB

x+7 > x+4

7 > 4

That's true regardless of what we pick for x. So BC is always longer than AB.

---------------

Now onto the second inequality

BC > AC

x+7 > 4x

7 > 4x-x

7 > 3x

3x < 7

x < 7/3

Now recall that we found earlier x > 3/4 or 3/4 < x

Combine 3/4 < x and x < 7/3 to get the compound inequality 3/4 < x < 7/3

---------------

Notice the middle part of that compound inequality is x and BC = x+7

If we were to add 7 to all three parts of the compound inequality, then we'll determine exactly the possible range of lengths for segment BC.

3/4 < x < 7/3

3/4+7 < x+7 < 7/3+7

3/4 + 28/4 < x+7 < 7/3 + 21/3

31/4 < x+7 < 28/3

31/4 < BC < 28/3

The length of segment BC is between 31/4 units and 28/3 units, excluding both endpoints. Those are the values of m and n in that order.

---------------

The last step is to compute n-m

n-m = (28/3) - (31/4)

n-m = (112/12) - (93/12)

n-m = (112-93)/12

n-m = 19/12 which points us to choice D.

Side note: 7/3 - 3/4 = 28/12 - 9/12 = (28-9)/12 = 19/12

Answer:

2490

Step-by-step explanation:

Individually find the area of each side of the shape then add all values

The elevation of the plane is 3600 ft

Let

From the triangle, we have the trigonometric ratio

tanФ = h/D

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

Learn more about elevation of the plane here:

https://brainly.com/question/26380084

Answer:

  21°

Step-by-step explanation:

Dilation is a similarity transformation. It does not change angles. It changes lengths proportionally.

∠A'B'C' ≅ ∠ABC = 21°

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.

Answer:

Step-by-step explanation:

5/6

Answer: B. 0.25

Step-by-step explanation:

Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option B is the correct choice.

Accumulated Depreciation and Fees Earned would be sorted into Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.

Accumulated depreciation is the accumulation of an asset's depreciation through a specific point in its lifetime. It is a contra asset account, which means that its proper balance is a credit that decreases the asset's overall value.

A corporation debits depreciation expenditures and credits accumulated depreciation when accounting for depreciation in the general ledger. 

On the balance sheet, accumulated depreciation is recorded and shown underneath the line for associated capitalized assets.

Therefore, we can conclude that Accumulated Depreciation and Fees Earned would be sorted into the Balance Sheet.

Learn more about accumulated depreciation here:

https://brainly.com/question/9041582

1 is the answer......

WHATS UP KID

Answer:

256π

Step-by-step explanation:

2π(8²) + 2π(8)(8) <== exponents first

2π(64) + 2π(64) <== multiply

128π + 128π <== add

256π <== final answer

Note: 8 * 8 can also be written as 8²

Hope this helps!

Answer:

256π

Step-by-step explanation:

4π(8²) =   4π(64)=  804.2477193

804.2477193/π = 256π