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Naily [24]
3 years ago
9

A gourmet pizza café sells three sizes of pizza: small, medium and large. To buy all three sizes, it costs a total of 46.95. If

a medium pizza cost $15.70 and a large pizza cost $17.55, how much does a small pizza cost? (answer in context, and no $ symbols)
Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

its gowing to be eleven dollars an 46 sent11.46

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Quadrilateral ABCD is inscribed in a circle with angle measures m∠A = (11x − 8)°, m∠B = (3x2 + 1)°, m∠C = (15x + 32)°, and m∠D =
dimulka [17.4K]

Answer:

No for all of the 4 values

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is always 360°, so we have that:

m∠A + m∠B + m∠C + m∠D = 360

11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360

5x2 + 26x - 320 = 0

Solving the quadratic function using Bhaskara's formula, we have:

Delta = 26^2 + 4*5*320 = 7076

sqrt(Delta) = 84.12

x1 = (-26 + 84.12)/10 = 5.81

x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).

Now, finding the angles, we have:

m∠A = 11*5.81 - 8 = 55.91°

m∠B = 3*(5.81)^2 + 1 = 102.27­°

m∠C = 15*5.81 + 32 = 119.15°

m∠D = 2*(5.81)^2 - 1 = 66.51°

As all these values are different from the values shown, the answer is No for all of them.

8 0
4 years ago
Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)
Ksivusya [100]
We first rewrite the line y - 3x = – 8 in <span>slope-intercept form as:

                                      y=3x-8.

The form y=mx+n is called the "</span>slope-intercept form" because m tells us the slope and n tells us the y-intercept of the line.

Thus, the slope of the line is 3. We know that if a is the slope of any line perpendicular to our line, then the product of these slopes, 3a, is -1.

This means that the slope a is equal to -1/3. We are also given that the perpendicular line contains (3, 2). Thus, we write the equation:

y-2= -\frac{1}{3}(x-3)\\\\y-2=-\frac{1}{3}x+1\\\\y=-\frac{1}{3}x+3

Answer: y=-\frac{1}{3}x+3
5 0
3 years ago
Read 2 more answers
Student council is raising money for a homeless shelter in the community. Earlier in the year, they had raised 710 for the chari
Citrus2011 [14]

Answer: 790

Step-by-step explanation:

From the question, we are informed that student council is raising money for a homeless shelter in the community and that earlier in the year, they had raised 710 for the charity.

We are further told that the club then held a raffle to raise funds and after the raffle,they were able to donate a total of 1,500.

The amount that they raised at the raffle will be:

= 1500 - 710

= 790

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Clarge%7B%5Cbold%20%5Cred%7B%20%5Csum%20%5Climits_%7B8%7D%5E%7B4%7D%20%7Bx%7D%5E%7B2%7D%2
kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed a\leq x \leq b and in your case \nexists x\in\mathbb{Z}: a\leq x\leq b for a>b

In fact, considering a set S we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing $ that satisfy S = S \cup \varnothing

This means that, by definition \sum_{x=a}^b \varnothing = 0

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

we have other problems. Actually, this case is really bad.

Note that \cos^2(\infty) has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$, the cosine function oscillates between [-1, 1] , and therefore it is undefined. Thus, we cannot evaluate

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0
3 years ago
Help pls <br> What is the side length of AC
NeTakaya

Answer:

if there are answer choices i would put the closest one to 16

8 0
3 years ago
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