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3 years ago

Roni want to buy a table. table measure 10 feet by 17 feet and cost 16 per square fee

Mathematics

1 answer:

Bumek [7]3 years ago

4 0

2,720 dollars total next time try 10 times 17 times 16

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Josephina likes the service she received at her favorite cafe and wants to leave a 20% tip. Her bill is $22.58. What tip should

aleksandrvk [35]

To get the result we have to find 20% of 22.58.
First we have convert 20% into decimal.
20% its 0.20
Finally we can multiply 0.2 and 22.58.
0.2*22.58=4.516 - its the answer

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3 years ago

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$

b) since right triangle is mentioned in the question. We can use:

$\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}$

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

length of the adjacent side = 1
length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

$(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2$

$(52)^2=(1)^2+(\text{opp})^2$

$\text{opp}=\sqrt{(52)^2-1}$

$\text{opp}=\sqrt{2703}$

length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

$\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}$

$\sin{\theta} = \dfrac{\sqrt{2703}}{52}}$

and since $\csc{\theta} = \dfrac{1}{\sin{\theta}}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

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3 years ago

Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale

Nikolay [14]

Answer:

4 inches by 2.5 inches

Step-by-step explanation:

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2 years ago

A number cube is rolled.what is the probability of rolling a number greater than 4

frosja888 [35]

Answer: 2/6

Step-by-step explanation:

There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.

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2 years ago

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linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhous

Zanzabum

No. The value of x is 7.5 feet.

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3 years ago