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3 years ago

What is the length of the hypotenuse in the right triangle shown below? 45° 45 6

Mathematics

2 answers:

IrinaVladis [17]3 years ago

8 0

Answer:

option A

Step-by-step explanation:

let the hypotenuse be x

take 45 degree as reference angle and use cos rule

cos 45 = adjacent/hypotenuse

1/ $\sqrt{2$ = 6/x

do cross multiplication

6* $\sqrt{2$ = x *1

6 $\sqrt{2}$ = x

Drupady [299]3 years ago

6 0

Answer:

Answer is a

Step-by-step explanation:

Thats what i got

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From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=12$ and $r=4$ .

$^{12}P_4=\frac{12!}{(12-4)!}$

$^{12}P_4=\frac{12!}{8!}$

$^{12}P_4=\frac{12*11*10*9*8!}{8!}$

$^{12}P_4=12*11*10*9$

$^{12}P_4=11,880$

Therefore, offices can be filled in 11,880 different ways.

3 0

3 years ago

Someone please help me I only have until January 18th to turn this in. Question: Mr Lopez picks up 2 pallets of dog food to deli

miv72 [106K]

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = $37\frac{1}{2}\text{ pounds }$

The weight of 40 bags of dog food = $40 \times 37\frac{1}{2} =1500 \text{ pounds }$

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

$\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}$

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

6 0

3 years ago

It costs $3 to bowl a game and $2 for shoe rental. a. Write an expression for the total cost (in dollars) of $g$ games. Expressi

Semmy [17]

Answer: a. Total cost = 3g+2

b. The total cost of 8 games is $26.

Step-by-step explanation:

Given: Cost to bowl a game = $3

Shoe rental charge = $2 (One -time charge)

Total cost = (Cost to bowl a game) x (Number of games)+ (Shoe rental charge )

Let g= number of games, then the expression to find the total cost will be :

Total cost = 3g+2

To find the total cost of 8 games, put g=8, we get

Total cost = 3(8)+2

= 24+2 = $26

Therefore , the total cost of 8 games is $26.

7 0

2 years ago

Does anyone know this one?

erastova [34]

The answer is C, you double 8 million and then double 16 million

4 0

3 years ago

Simplify 9 − (−4). (1 point) a −13 b −5 c 5 d 13

Assoli18 [71]

Answer:

d 13

Step-by-step explanation:

Subtracting means adding the opposite.

To subtract -4, you add the opposite of -4 which is 4, so you add 4.

9 - (-4) = 9 + 4 = 13

Answer: d 13

7 0

2 years ago

Read 2 more answers