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4 years ago

If x is a positive integer, then the solution set of 4x+2<14 is

1 answer:

8 0

0≤x≤2 The lowest you can go without being negative is 0, and the highest you can get without x being equivalent to 14 is 2.

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What is the measure of AngleS to the nearest whole degree? 19° 26° 30° 33°

ahrayia [7]

Answer:

A= 33 degrees

A=33°

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW, ALSO CHECK THE ATTACHMENT FOR THE DIAGRAM

Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of S to the nearest whole degree? 19° 26° 30° 33°

EXPLANATION

Accordingto the law of cosines in

trigonometry, which gives the relationship between the lengths of the sides of a triangle to the cosine of one of its angles.

From the diagram at the attachment, the sides of the triangle are:a=10 ,b=17 ,c=18

The law can is described using the formula below;

a² = b²+ c² – 2*b*c*cos(A)

To get the angle cos(A), we make cos(A) subject of formula

cos(A)=[b²+c²-a²]/[2*b*c]

Then inserting the figures

cos (A)=[17²+18²-10²]/[2*17*18]

cos (A)=0.8382

Then find the inverse of cos(A)

A=arc cos (0.8382)

A=33.05°

A=33°( approximately)

4 0

4 years ago

Read 2 more answers

What is the solution to the system of equations? {x+y=7x=y+3

abruzzese [7]

<h3>Answer:</h3>

x=5, y=2

<h3>Explanation:</h3>

The second equation gives an expression for x that can be substituted into the first equation.

... (y+3) +y = 7 . . . . . .substitute y+3 for x

... 2y + 3 = 7 . . . . . . . colect terms

... 2y = 4 . . . . . . . . . . subtract 3 from both sides

... y = 2 . . . . . . . . . . . . divide both sides by 2

Using the expression for x, we can find its value.

... x = y + 3

... x = 2 + 3 . . . . . . . . . substitute for y

... x = 5

The solution is (x, y) = (5, 2).

7 0

4 years ago

Which of the following equations could be used to find the missing measurement in this triangle?

Komok [63]

Pythagorean theorem.....a^2 + b^2 = c^2....where a and b are the legs and c is the hypotenuse

a^2 + 35^2 = 37^2 <===

3 0

3 years ago

Read 2 more answers

A Niffler is a magical creature who loves to collect shiny objects and store them in their pouch, much like a kangaroo. The amou

Fudgin [204]

Answer:

Probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

Step-by-step explanation:

We are given that the amount a Niffler can hold in their pouch is approximately normally distributed with a mean of 25 pounds of shiny objects and a standard deviation of 6.8 pounds.

Let X = <u><em>amount a Niffler can hold in their pouch</em></u>

So, X ~ Normal( $\mu=25,\sigma^{2} =6.8^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 25 pounds

$\sigma$ = standard deviation = 6.8 pounds

Now, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is given by = P(X > 32 pounds)

P(X > 32 pounds) = P( $\frac{X-\mu}{\sigma}$ > $\frac{32-25}{6.8}$ ) = P(Z > 1.03) = 1 - P(Z $\leq$ 1.03)

= 1 - 0.8485 = 0.1515

<em>The above probability is calculated by looking at the value of x = 1.03 in the z table which has an area of 0.8485.</em>

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Hence, the probability that a Niffler can hold more than 32 pounds of shiny objects in their pouch is 0.1515.

4 0

3 years ago

Distance between 7.45, -4.682

AlekseyPX

Answer:

2.768 is the answer

Step-by-step explanation:

6 0

3 years ago