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Hoochie [10]
3 years ago
5

PLEASE HELP AND SHOW YOUR WORK!!

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0

Answer: The answer would be B) 9% Decrease!

275 - 250 = 25.

25/275 = 0.0909090909

0.0909090909 x 100 = 9.09090909091

Finally you'd round it to 9%.

Therefore there was a 9% decrease in the amount of large pizzas.

Hope this helps (: Stay safe.

enot [183]3 years ago
8 0
275-250=25 there ya go
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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}}

4 0
3 years ago
In the past month, Kaitlin rented 1 video game and 4 DVDs. The rental price for the video game was $2.40 The rental price for ea
vichka [17]

Answer:

$2.40 for the video game and $14.8 for the DVDs

Step-by-step explanation:

1 video game = $2.40

4 DVDs = $14.8

$3.70 x 4 = $14.8

6 0
3 years ago
Which list orders the numbers from least to greatest?
s344n2d4d5 [400]
Are u sure you have the answers right? Fix them in a comment and I’ll answer
3 0
2 years ago
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What is the value of x (81) (7x+15)
scoray [572]

Answer:

9 if I am correct also I rounded to a whole number, am not sure

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3 years ago
The graph shows the amount of a medicine min milligrams, remaining in a patient's body hours after receiving an injection . The
aksik [14]

An exponential function is a function defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>(a) The factor at which the medicine decreased, in 1.5 hour</h3>

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

y = ab^x

At point (0,270), we have:

ab^0=270

a= 270

At point (1.5,80), we have:

ab^{1.5} = 80

Substitute 270 for a

270b^{1.5} = 80

Divide both sides by 270

b^{1.5} = 0.2963

Take 1.5th root of both sides

b =0.44

Hence, the medicine decrease in the hour and half at a factor of 0.44

<h3>(b) The factor at which the medicine decreased in the first half hour, and the first hour</h3>

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

<h3>(c) The exponential equation</h3>

In (a), we have:

a= 270

b = 0.44

So, the exponential equation is:

y =270 * 0.44^x

In terms of m and h, we have:

m =270 * 0.44^h

Hence, the equation relating m to h is m =270 * 0.44^h

Read more about exponential equations at:

brainly.com/question/11832081

6 0
2 years ago
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