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g100num [7]
3 years ago
5

What is the length of the diagonal of the rectangle? Round to two decimal places

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

Option C

Step-by-step explanation:

By the property of a rectangle,

"All interior angles of a rectangle measure 90°"

Therefore, m∠ABC = 90°

By applying cosine rule in the right triangle ABC,

cos(∠CAB) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(25°) = \frac{AB}{AC}

AC = \frac{AB}{\text{cos}(25)}

AC = \frac{18}{\text{cos}(25)}

AC = 19.86

Therefore, Option C will be the answer.

You might be interested in
Find the net change in the value of the function between the given inputs. h(t) = t2 + 2; from −5 to 8
pashok25 [27]

Answer:

39

Step-by-step explanation:

Given the function :

h(t) = t² + 2

From t = 5 to t = 8

when, t = 5

h(5) = 5² + 2

h(5) = 25 + 2

h(t) at t = 5 ; equals 27

when, t = 8

h(5) = 8² + 2

h(5) = 64 + 2

h(t) at t = 8 ; equals 66

Net Change :

h(8). - h(5)

66 - 27 = 39

3 0
3 years ago
Please help me! Whoever gets the correct answer and explains it will get marked Brainliest!!
Helen [10]

1. The answer is 0.425

2. the answer is 0.425

3. the answer is 0.2125

8 0
3 years ago
A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The
Paraphin [41]

Answer:

Step-by-step explanation:

It has to be less than 6 ,  x+y<6

Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient.multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.

the mixture has to be less than 30 that means that it costs less than 30 but 30 can be the answer as well.

The last answer is 7x + 5y 

4 0
3 years ago
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
How do you solve -1/12 - (-11/12)
valentinak56 [21]

-1/12 - (-11/12) would change into -1/12 + 11/12 because a double negative (bold print) would become a positive. The answer to the new problem would be 10/12 or 5/6 (depending on if it says to simplify).

7 0
3 years ago
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