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3 years ago

Evaluate 7C6. (1 point) A. 9 B. 1 C. 5,040 D. 7

Mathematics

2 answers:

kkurt [141]3 years ago

8 0

Https://us-static.z-dn.net/files/d04/41f003ca2080c4ffc698c0afa4904f6d.png

notsponge [240]3 years ago

5 0

$\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad 
\begin{cases}
n=\textit{total elements}\\
r=\textit{partials}\\
--------\\
n=7\\
r=6
\end{cases}\implies _7C_6=\cfrac{7!}{6!(7-6)!}$

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If a horse eats 58 pounds a week, how many pounds does it eat a day? Need two people to answer this 10 points! And Brainliest fo

marta [7]

58 divide 10= 5 remainder 8
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3 years ago

Solve ( x + 4 ) / 2 = ( x - 3 ) / 3

Sphinxa [80]

Simplify x - 3/3 to -1 + x/3

regroup terms

multiply both sides by 6 (The LCM of 2,3)

expand

subtract 2x from both sides

simplify 3x + 12 - 2x to x + 12

subtract 12 from both sides

simplify -6 - 12 to -18

Answer: x = -18.

4 0

4 years ago

I am having trouble. Help plz

Yuliya22 [10]

Area is calculated by multiplying length by width. Since we are given the width, we can test each length and see if the product matches the rectangle's area.

(2m - 3)(4m - 4) = 8m² - 20m + 12 ≠ 8m² + 4m - 12

(8m - 3)(4m - 4) = 32m² - 44m + 12 ≠ 8m² + 4m - 12

(2m + 3)(4m - 4) = 8m² + 4m - 12

(8m + 3)(4m - 4) = 32m² + 20m - 12 ≠ 8m² + 4m - 12

The length of the rectangle must be 2m + 3. Another method of solving this would be to divide the area by the width, or 8m² + 4m - 12 ÷ 4m - 4.

6 0

3 years ago

There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to

Kitty [74]

<h2>Hello!</h2>

The answer is:

The height of the lightning rod is 27.4 feet.

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

$tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}$

To the top of the lightning rod:

$tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}$

Now, isolating we have:

$tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet$

Also, we have that:

$tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet$

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet$

Rounding to the nearest foot, we have:

$LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet$

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0

3 years ago

A: B =2 : 5. What is B if A is 6?

weeeeeb [17]

Answer:

THE ANSWER IS 15

Step-by-step explanation:

A:B=2:5

6:B=2:5

2B=6*5

2B=30

B=30/2

B=15

3 0

4 years ago