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3 years ago

Find the value of the cosine for ZA.

Mathematics

1 answer:

baherus [9]3 years ago

5 0

Answer:

C. $\frac{8\sqrt{89}}{89}$

Step-by-step explanation:

Cos A = Adj/Hyp

Reference angle = <A

Adjacent side = 8 ft

Hypotenuse = √(8² + 5²) = √89 (pythagorean theorem)

Thus:

$Cos (A) = \frac{8}{\sqrt{89}}$

Rationalize

$Cos (A) = \frac{8 * \sqrt{89}}{\sqrt{89} * \sqrt{89}}$

$Cos (A) = \frac{8\sqrt{89}}{89}$

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Can someone please help me with the first question?

Paraphin [41]

Answer is A. 18
Because n + 18 =2n

6 0

3 years ago

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ABCD is a trapezoid. = 1 cm and = 5 cm, and the area = 7.5 cm2. What is the altitude of the trapezoid? 1.5 cm 2.5 cm 3 cm 2 cm

Ludmilka [50]

Answer:

2.5cm

Step-by-step explanation:

area of a trapeziod = 1/2 (a+b)×h

a=1cm

b=5cm

h=?

area= 7.5cm^2

••••• 7.5cm^2=1/2 (6)h

7.5= 3h

then height = 7.5/3= 2.5cm

8 0

3 years ago

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What is the savings rate per month?

dedylja [7]

Answer:

My guess is $29

Step-by-step explanation:

So first I take the difference of the 10th and 6th month, which is 116.

I take that and divide it by 4, because that was the change in 4 months(10-6)

116÷4=29

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2 years ago

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All of the following are irrational except _____.

a_sh-v [17]

The number that is not irrational is $1.\overline{45}$ . The correct option is the second option $1.\overline{45}$

<h3>Irrational numbers </h3>

From the question, we are to determine which of the given options is not irrational

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q, where p and q are integers.

$1.\overline{45}$ is a repeating decimal and it can be expressed as a fraction

$1.\overline{45} = \frac{144}{99}$

∴ $1.\overline{45}$ is not an irrational number. It is a rational number

The other options cannot the expressed as a fraction.

Hence, the number that is not irrational is $1.\overline{45}$ . The correct option is the second option $1.\overline{45}$

Learn more on Irrational numbers here: brainly.com/question/11919233

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2 years ago

A man bought 500 mangoes and found 1/4 of them rotten .If he sold the rest of mangoes at 3.36 each making 12% profit ,what was t

suter [353]

Answer:

<em>The cost price of each mango was $3</em>

Step-by-step explanation:

The man bought 500 mangoes, but 1/4 of them were rotten. There were 1/4*500 = 125 rotten mangoes, thus the number of mangoes he sold is

500 - 125 = 375 mangoes

Selling them at $3.36 each, he had revenue of

375*3.36=$1,260

That amount includes the 12% profit, that is, it's 112% of the cost price, thus the cost price of all mangoes is

1,260 / 112 * 100 = $1,125

The price of each mango was $1,125 / 375 = $3

The cost price of each mango was $3

4 0

3 years ago