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3 years ago

What is the resulting cross section if the cheesecake was sliced parallel to its points?

Mathematics

1 answer:

ad-work [718]3 years ago

6 0

Answer:

Step-by-step explanation:

??What is parallel to a point?

If the cut is parallel to the cut-off point, the cross-section is a rectangle.

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N 4(x + 2) + 50y + 3). An equivalent expression is Reset Next

natita [175]

Answer:

4x+50y+11

hope this helps :) plz brainliest

Step-by-step explanation:

7 0

3 years ago

Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When J

solmaris [256]

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

$E = 1012.50, t = 15, I = 0.045$

We have to find P. So

$E = P*I*t$

$1012.50 = P*15*0.045$

$P = \frac{1012.50}{15*0.045}$

$P = 1500$

Javier's parents set aside $1500 when he was born

6 0

3 years ago

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago

Find the perimeter of the shaded region. Round your answer to the nearest hundredth.

nataly862011 [7]

Answer:

59.16 units

Step-by-step explanation:

Given that,

The length of rectangle, L = 13

The breadth of the rectangle, B = 6

The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)

$P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16$

So, the perimeter of the shaded region is 59.16 units.

4 0

3 years ago

What is -4/5+ 7/15 when you simplify ?

photoshop1234 [79]

Answer: $-\frac{1}{3}$

Step-by-step explanation:

When you add fractions with different denominators, you need to find the Least common denominator (LCD):

Descompose the denominators (5 and 15) into its prime factors and then choose the commons and non-commons with the highest exponents:

$5=5*1\\15=3*5\\\\LCD=5*3*1=15$

Divide the LCD by each original denominator of each fraction and multiply the result by each original numerator of each fraction. After this, you can add the numerators and reduce the fraction.

Then:

$-\frac{4}{5}+\frac{7}{15}=\frac{-(4)(3)+7(1)}{15}=\frac{-12+7}{15}=\frac{-5}{15}=-\frac{1}{3}$

7 0

3 years ago

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