What is the area of this shape?

Answer:

There are 210 different ways that 4 cards can be drawn.

There are 252 different ways that 5 cards can be drawn.

There are 120 different ways that 7 cards can be drawn.

Step-by-step explanation:

Use the combination formula

10C4 =210

10C5 = 252

10C7 = 120

Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode.   HOPE THIS HELPED !!!

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

Answer:

The answer is 0

Hope that helps!

Answer: Your answer is 0-

The data given relating to the probability shows that the total number of customers will be 27300.

The total number of customers will be:

= 24300 + 3000

= 27300

The number of customers that applied for a home mortgage will be:

= 2430 + 150

= 2580

In conclusion, the total number of customers will be 27300.

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Answer:

390 m (perpendicular to river) x 780 m (parallel to river)

Step-by-step explanation:

Let y be the length of the side parallel to the river, and let x be the length of the sides perpendicular to the river.

The total area and length of fence required are given by:

Rewriting the length of fence as a function of only x:

The value of x for which the derivate of L(x) is zero is the length of x that uses the least amount of fencing:

If x = 390 m, then:

The dimensions that will use the least amount of fencing are 390 m x 780 m

Answer:

C

Step-by-step explanation:

C because 25% + 10% = 35% and 10% + 25% is also 35%

Answer:

Step-by-step explanation:

Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

The actual number of respondents corresponding to the given percentage is 57.

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.

4.2% x 1372 = 57

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The function L= 10 log(I/10^-16) is a logarithmic equation

The loudness of the whisper is 40 decibels

The function of the loudness is given as:

L= 10 log(I/10^-16)

When the intensity is 10^-12, the equation becomes

L= 10 log(10^-12/10^-16)

Evaluate the quotient

L= 10 log(10^4)

Apply the rule of logarithm

L= 10 * 4

Evaluate the product

L = 40

Hence, the loudness of the whisper is 40 decibels

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Answer:

Mean: 5.19 or 5.2

Median: 5

Range: 17

Step-by-step explanation:

Range: Q3 - Q1

0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 17

Here, we have 26 numbers

Minimum: 0

Maximum: 17

Median: 5 + 5 = 10/2 = 5

Lower quartile (Q1): 3

Upper quartile (Q3): 7

Range (biggest # - the smallest #): 17 - 0 = 17

Mean (add up all the numbers, and divide it by 26): 135/26 = 5.19 or 5.2

Hope this helps!

Answer:

That would be a compass.

Step-by-step explanation:

This allows you to draw circles with great accuracy.

Please attach some form of question first, thank you!

Answer:

Step-by-step explanation:

4t + 11 = 19

Subtract 11 from both sides

4t = 19 - 11

4t = 8

Divide both sides by 4

t = 8/4

t = 2

Answer:
x = 20

Step-by-step explanation:

to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20

Answer:

the exact value of tan(-315) is 1

Answer:

The tangent of -315 is opp/adj = 1/1 = 1

Step-by-step explanation:

The angle -315 is in the 1st quadrant, in which we see a 45-45-90 triangle.  Thus, this triangle has 'opposite side' = 1, 'adjacent side' = 1, and hypotenuse √2.  The tangent of -315 is thus opp/adj = 1/1 = 1

Answer:

$11,000

Step-by-step explanation:

let x = original price.

2x-2000=20000

2x=22000

x=11000

Answer:

x= 11.57017697

x= 41.2

x=16.50849765

Step-by-step explanation:

sin40=x/18

=> x= sin40 *18

tan x = 14/16

=> x= 41.2

cos 32 = 14/x

=> x= 14/ cos32

Answer:

400

Step-by-step explanation:

48 is 12% of x

12/100 = 48/x

3/25 = 48/x

1/25 = 16/x

x = 25 × 16

x = 400

Answer: 400

Answer:

400

Step-by-step explanation:

(48 x 100) / 12 = 400

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:lateral \: surface \: area = \pi rl[/tex]

[tex]\qquad \sf  \dashrightarrow \:la = \pi12 \times 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:la =180 \pi[/tex]

Therefore, the lateral surface area of cone = 180 pi in²

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Answer: 44 units

Step-by-step explanation:

Opposite sides of a parallelogram are equal, hence sides

AB = DC

4y-2 = 2y+6

2y=8

y=4

and

BC = AD

2x+2=3x-1

x=3

AB = 4Y-2

y=4

AB=14

BC=2x+2

x=3

BC=8

Perimeter = 2 X (AB + BC)

= 2 X (14+8)

= 44

Answer:

44 units

Step-by-step explanation:

A. The amount of money that Betsy should invest n B-rated bonds at 13% is $20,000.

B. The amount of money that Betsy should invest in a certificate of deposit (CD) at 5% is $50,000.

Certificates of deposit (CDs) are short-term investments in financial institutions (money market) while Bonds are long-term investments in the stock exchange (capital market).

CDs pay reduced interest rates when compared to bonds'.

The amount required per year in interest = $5,000

Total investible funds = $70,000

Interest rate of B-rated bonds = 13%

Interest rate in CD = 5%

Since Betsy is not interested in realizing more than $5,000 in interest per year, she should invest $50,000 in the CD and $20,000 in the B-rated bonds.

The interest in CD = $2,500 ($50,000 x 5%)

The interest in bonds = $2,600 ($20,000 x 13%)

Total interest in CD and bonds = $5,100 ($2,500 + $2,600)

Thus, Betsy should invest $50,000 in the CD and $20,000 in the B-rated bonds.

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Answer:

A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)

B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)

Step-by-step explanation:

correct me if. wrong

Answer:

LCM of 3 and 4 is 12

Step-by-step explanation:

This is your answer

Answer:

The answer is D.

Step-by-step explanation:

To find the common multiple you would divide each answer choice by both numbers & if the are whole numbers then there is your answer. If it is a number with a decimal somewhere then that is not the answer.

Answer: x = 5

Step-by-step explanation:

    If you need to solve for x,

Given:

-1 (1 + 7x) - 6(-7 -x) = 36

Distribute:

-1 - 7x + 42 + 6x = 36

Combine like terms:

- x + 41 = 36

Subtract 41 from both sides of the equation:

- x = -5

Divide both sides by -1:

x = 5

Answer: x = -1

Step-by-step explanation:

The problem is asking you the sum (+) of 3 times of a unknown number (let the unknown number be x) and 7, as in 3x + 7

According to the problem this expression is equal to 4,

3x + 7 = 4

1. Subtract 7 from both sides

3x = -3

2. Divide 3 on both sides

x = -1

Your final answer would be negative 1

The length οf the perpendicular is 2√2.

Trigοnοmetry is a branch οf mathematics that deals with the study οf relatiοnships between the sides and angles οf triangles. It includes the study οf trigοnοmetric functiοns such as sine, cοsine, and tangent, which are used tο sοlve prοblems in fields such as engineering, physics, and navigatiοn.

Step 1:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 8√2 and the angle at the base is 30 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(30°) = p/8√2

We can simplify this expressiοn by nοting that sin(30°) = 1/2 and 8√2 = 8√(2/2) = 8√(1/√2) = 8/√2. Substituting these values, we get:

1/2 = p/(8/√2)

Simplifying further, we can multiply bοth sides by 8/√2:

4/√2 = p

Tο express the result in simplest radical fοrm, we can ratiοnalize the denοminatοr by multiplying the numeratοr and denοminatοr by √2:

p = 4/√2 * √2/√2 = 4√2

Therefοre, the length οf the perpendicular is 4√2.

Step 2:

Let's call the length οf the perpendicular "p".

Frοm the given infοrmatiοn, we knοw that the hypοtenuse is 4√2 and the angle at the base is 45 degrees. We can use trigοnοmetry tο find the length οf the perpendicular.

In a right triangle, the sine οf an angle is defined as the length οf the side οppοsite the angle divided by the length οf the hypοtenuse. Sο we have:

sin(45°) = p/4√2

We can simplify this expressiοn by nοting that sin(45°) = √2/2 and 4√2 = 4√(2/2) = 4√(1/√2) = 4/√2. Substituting these values, we get:

√2/2 = p/(4/√2)

Simplifying further, we can multiply bοth sides by 4/√2:

2√2 = p

Therefοre, the length οf the perpendicular is 2√2.

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Answer:

5 birds flew away

Step-by-step explanation:

1/6x6=1

( 1 bird flew away)

so, 6-1=5

Answer:

[tex]\huge\boxed{\bf\:5\:\:birds}[/tex]

Step-by-step explanation:

Number of birds that flew away = ?

Number of birds remaining = ?

[tex]\rule{150pt}{2pt}[/tex]