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3 years ago

Find the length of AC.a. 10.1 b. 10.0c. 10.9d. 8.86 PLEASE HELPPP ASAP

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

Answer:

Option D

Step-by-step explanation:

According to law of cosines =

${a}^{2} = {b}^{2} + {c}^{2} - 2bc. \cos(A)$

where 'a' is the uknown side , 'b' & 'c' are the given sides and angleA is the angle opposite to the uknown side i.e. opposite to 'a'.

Using the Law of cosines , we'll find the length of AC .

${ac}^{2} = {7}^{2} + {13}^{2} - 2 \times 7 \times 13 \times \cos(50)$

$= > {ac}^{2} = 49 + 169 - 182 \times 0.76$

$= > {ac}^{2} = 218 - 138.8 = 79.68$

$= > ac = \sqrt{79.68} = 8.92 = 9(appx)$

In option D , if we'll round of 8.86 , then its appx 9. So option D is right

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The amount of cereal dispensed into "12-ounce" boxes of Captain Crisp cereal is normally distributed with mean 12.09 ounces and

wolverine [178]

Answer:

There is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem:

The amount of cereal dispensed into "12-ounce" boxes of Captain Crisp cereal is normally distributed with mean 12.09 ounces and standard deviation 0.12 ounces, so $\mu = 12.09, \sigma = 0.12$ .

That is, what is the probability that the amount dispensed into a box is less than 12 ounces?

This is the pvalue of Z when $X = 12$ .

So:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{12 - 12.09}{0.12}$

$Z = -0.75$

$Z = -0.75$ has a pvalue of 0.2266.

This means that there is a 22.66% probability that the amount dispensed into a box is less than 12 ounces.

7 0

3 years ago

Which polynomial function has a leading coefficient of 3 and roots –4, i, and 2, all with multiplicity 1? f(x) = 3(x 4)(x – i)(x

Pepsi [2]

The polynomial function with leading coefficient of 3 and root -4, i, and 2 all with multiplicity of 1 is f(x) = 3(x+4)(x-i)(x+2)

<h3>Polynomial function</h3>

The Leading coefficients are the numbers written in front of the variable with the largest exponent.

Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.

The multiplicity is the number of times a given factor appears in the factored form of the equation of a polynomial.

Therefore, the polynomial f(x) = 3(x+4)(x-i)(x+2) has a root -4 , 1 and -2.

The leading coefficient is 3. The multiplicity is all one.

learn more on polynomial here: brainly.com/question/13309002

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2 years ago

Simplify the expression: <br> sin^4x cosx/ cos^4x sinx

netineya [11]

Answer:

$tan^3x$

Step-by-step explanation:

We want to simplify:

$\frac{\sin^4x\cos x}{\cos^4x\sin x}$

This is the same as:

$\frac{\sin^3x \sin x\cos x}{\cos^3x \cos x\sin x}$

Cancel out the common factors to get;

$\frac{\sin^3x}{\cos^3x}$

This is the same as

$(\frac{\sin x}{\cos x} )^3=tan^3x$

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4 years ago

Claudia was cooking breakfast for her entire family she may double the amount of chocolate chip pancakes as she did regular panc

maw [93]

Answer: she made 36 chocolate chip pancakes, 18 regular pancakes, 9 blueberry pancakes and 27 sausagesl

Step-by-step explanation:

Let w represent the number of chocolate chip pancakes that she made.

Let x represent the number of regular pancakes that she made.

Let y represent the number of blueberry pancakes that she made.

Let z represent the number of sausages that she made.

she made double the amount of chocolate chip pancakes as she did regular pancakes. This means that

w = 2x

x = w/2

she only made half as many blueberry pancakes and she did regular pancakes. This means that

y = x/2

y = w/4

she made triple the amount of sausage as blueberry pancakes. This means that

z = 3y

z = 3w/4

if she cooked 90 items total, it means that

w + x + y + z = 90 - - - - - - - - - -1

Substituting x = w/2, y = w/4 and z = 3w/4 into equation 1, it becomes

w + w/2 + w/4 + 3w/4 = 90

Multiplying through by 4, it becomes

4w + 2w + w + 3w = 360

10w = 360

w = 360/10

w = 36

x = w/2 = 36/2

x = 18

y = w/4 = 36/4

y = 9

z = 3y = 3 × 9

z = 27

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4 years ago

HELP PICTURE IS SHOWN

Ahat [919]

Its 108 because the triangle is acute so all angle are less than or equal to 90 and i did 54+54+72=180 ant the measurement of the exterior angle is 108

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3 years ago

Find the length of AC.a. 10.1 b. 10.0c. 10.9d. 8.86 PLEASE HELPPP ASAP ​

Find the length of AC.a. 10.1 b. 10.0c. 10.9d. 8.86 PLEASE HELPPP ASAP