Explain the difference in meaning between 10x4+5 and 10x(4+5) . Use words and or diagrams to help your explanation.

Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the

ANTONII [103]

Answer:

Length of right-angle triangle 'a' = 4

b)

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

Step-by-step explanation:

Step(i):-

Given b = 3 and hypotenuse c = 5

Given ΔABC is a right angle triangle

By using pythagoras theorem

c² = a² + b²

⇒ a² = c² - b²

⇒ a² = 5²-3²

=25 - 9

a² = 16

⇒ a = √16 = 4

The sides of right angle triangle a = 4 ,b = 3 and c = 5

Step(ii):-

$sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}$

$cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}$

$tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}$

7 0

2 years ago

Sawyer’s mom paid $1.50 for a 3/4 pound box of cereal. How much is that per pound? Question 4 options: $1.50 $1.75 $2.00 $2.50

Lynna [10]

The answer is $2.00, cause it's 50¢ a quarter.

8 0

3 years ago

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Whenever the population standard deviation is unknown, which distribution is used in developing an interval estimate for a popul

r-ruslan [8.4K]

Answer:

The t-distribution is used.

Step-by-step explanation:

When we dont know the standard deviation of the population, we use the t-distribution(t-table).

Otherwise, the z-distribution(z-table) is used.

So the answer to this question is the t-distribution.

4 0

3 years ago

Question 2 Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95

lianna [129]

Answer:

it will take 1.4 hours for the two trains to be 294 miles apart

Step-by-step explanation:

Let t be the time taken for each train

The westbound train travels at 95 miles per hour.

Speed of westbound train = 95

time = t

Distance = speed * time = 95 t

The eastbound train travels at 115 miles per hour

Speed of eastbound train = 115

time = t

Distance = speed * time = 115 t

both trains are 294 miles apart means the distance between both trains are 294 miles

So we add the distance of both trains and set it equal to 294

95t + 115t = 294

210 t =294

t = 1.4

So, it will take 1.4 hours for the two trains to be 294 miles apart

6 0

3 years ago

What is W when 4w-18>10

Degger [83]

Answer:

Inequality of W would be w>7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable. Hope this helps.

4w-18>10

4w>28 [Moved +18 over]

4w>7 [28 divided by 4]

8 0

3 years ago

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