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3 years ago

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.

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Answer:

multiply 10 with the value given for x and add 2 to the result

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Working at home: According to the U.S Census Bureau, 41% of men who worked at home were college graduates. In a sample of 506 wo

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Solution :

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3 years ago

How many serving of cookies does this recipe make? How many serving are in 1 dozen cookies? How many servings are in 4 dozen coo

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four dozens: 12x4 so 48 servings

Step-by-step explanation:

Assuming one cookie is one serving a dozen would be 12 so 12 servings per dozen.

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Licemer1 [7]

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

<h3>Solving quadratic equations.</h3>

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

3x² + 8x - 10

Using the quadratic formula:

$\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}$

where:

a = 3
b = + 8
c = - 10

$\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}$

$\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}$

$\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}$

x = 0.927 or -3.594

Learn more about solving quadratic equations here:

brainly.com/question/8649555

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2 years ago

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car

Debora [2.8K]

Step-by-step explanation:

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?

----

You have two points relating fuel and weight.

(15,2187) and (35,2303)

------------

slope = (2303-2187)/(35-15) = 5.8

----

intercept = ?

2187 = 5.8*15 + b

b = 2100

-------

Equation:

f(x) = 5.8x + 2100

---

f(50) = 2390 lbs.

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6 0

3 years ago