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Answer: 10.49026 = 10.5

Step-by-step explanation:

The length of the side q of the triangle OPQ is 10.5 inches.

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in a triangle OPQ, O = 4.4 inches, p = 9.6 inches and ∠Q=89°, we need to find the measurement of side q,

So, using cosine law for triangles,

q² = p²+o²-2poCos(89°)

= 4.4²+9.6²-2(4.4)(9.6)Cos(89°)

= 10.5

Hence, the length of the side q of the triangle OPQ is 10.5 inches.

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The required equation model is n + d = 30 which represents a jar containing n nickels and d dimes worth a total of $30. which is the correct answer would be an option (D).

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have been given that a jar contains n nickels and d dimes worth a total of $30.

To determine the equation model that represents the given information.

As per the given information, the algebraic form is:

quantity of nickels + quantity of dimes = total worth

n + d = 30

Thus, the required equation model is n + d = 30 which represents a jar containing n nickels and d dimes worth a total of $30.

Hence, the correct answer would be option (D).

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Answer:

20.40

Step-by-step explanation:

Answer:

10 dollars. I think.

Step-by-step explanation:

Answer:

|1|, |-2|, |7|, |12|.

Step-by-step explanation:

I'm assuming this is absolute value.

Answer:

y = 3 + 1/2 * x

Step-by-step explanation:

Answer:

algebra

Step-by-step explanation:

using algebra form an equation than solve for the variable keep in mind u have to square it

Answer: 8 feet

Step-by-step explanation:

Answer:

6k=42

Either one ill still answer the equation

Step-by-step explanation:

Let K = Kris

42=6k

Answer:

n=38

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

x= 10; extraneous

Step-by-step explanation:

Given the expression:

3√x+6 = -12

We are to find the value of x

Divide both sides by 3

3√x+6/3 = -12/3

√x+6 = -4

Square both sides

(√x+6)² = (-4)²

x + 6 = 16

x = 16-6

x = 10

Hence the solution is x =10 and it is extraneous solution

Answer:

Eight and one hundred thirty-four thousandths

Step-by-step explanation:

Thats how u write it in word form! i hope this helped :)

The required word form of the measure 8.431  centimeters wide is eight and one hundred thirty-four thousandths centimeters wide.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
The required number is 8.431, which can be written in word form as,
8.431 = Eight and one hundred thirty-four thousandths centimeters wide

Thus, the required word form of the measure 8.431  centimeters wide is eight and one hundred thirty-four thousandths centimeters wide.

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Answer:

2.3 hours

Step-by-step explanation:

✓In Each year; malcom earns total of 120 hrs of vaction

✓But we are given that 52 weeks = 1 year

✓The number of hours of vaction time malcome earns in week= (120 hrs/52 weeks)

= 2.3 hours

Answer:

0.25

Step-by-step explanation:

Answer:

It takes the word processor 117 minutes to word process and spell check 27 pages.

Step-by-step explanation:

With the information provided, you can use a rule of three to find how long it would take to word process and spell check 27 pages given that it takes 26 minutes to word process and spell check 6 pages:

6 pages   →  26 minutes

27 pages  →          x

x=(27*26)/6=117 minutes

According to this, the answer is that it takes the word processor 117 minutes to word process and spell check 27 pages.

Answer:

3. 150%    4. 8.3%

Step-by-step explanation:

Percent error formula is the difference between the actual and estimated divided by actual  times 100.

3.   (5-2) / 2   x  100= 150%

4.  (24-22)/  24  x 100 = 8.3%

Answer: 63 nurses and 14 doctors

so you know the ratio is 9:2. that means for every 9 nurses there are 2 doctors. i didn't make an equation but i counted it.

if theres 9 (9*1) nurses theres 2 (2*1) doctors

if theres 18 (9*2) nurses theres 4 (2*2) doctors

if theres 27 (9*3) nurses theres 6 (2*3) doctors

you get the point so i multiplied 7 to 9 and 7 to 2, which means:

if theres 63 (9*7) nurses theres 14 (2*7) doctors

i hope this helps :)

Step-by-step explanation:

The Missing side using Pythagorean theorem

=√(19)²+(38)²

=√361+1444

=√1805=19√5

=42.485≈42.49( to the nearest hundredth)

Missing angle

=let the angle be x

tan(x)=19/38

x=tan^-1(½)=26.565

x=26.57(to the nearest hundredth)

Answer:

the answer is (-3,-3)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

The answer is A simple must be a group of people who are the target of the survey question

Step-by-step explanation:

Answer:

Hope this helps better

Answer; y < x-1

Step-by-step explanation:

Answer: added

Step-by-step explanation:

Answer:

Sorry but ummm... you forgot to add a screenshot... :/

Step-by-step explanation:

Maybe post that question again with a screenshot

Answer:

16 : 40

Step-by-step explanation:

it is the only option that will work

Answer:

The answer is below

Step-by-step explanation:

From the image:

∠P + ∠Q = 180° (consecutive angles are supplementary)

78 + ∠Q = 180

∠Q = 180 - 78

∠Q = 102°

∠RQN = 360° - 305° =(sum of angle in a point)

∠RQN = 55°

∠RQN + ∠RQP = 102°

∠RQP = 102 - 55 = 47°

a) Let PR = x

Using cosine rule:

[tex]x^2=600^2+950^2-2(900)(600)cos(47)\\\\x^2=485021.9\\\\x=\sqrt{485021.9} \\\\x=696 \ m[/tex]

Therefore PR = 696 m

b) Let ∠RPQ be A°

Using sine rule:

[tex]\frac{sin(A)}{600} =\frac{sin(47)}{696} \\\\sin(A)=\frac{sin(47)}{696} *600\\\\sin(A)=0.6304\\\\A=sin^{-1}(0.6304)\\\\A=39^0[/tex]

∠RPQ = 39°

Hence the bearing of R from P = ∠NPR = 78° - 39° = 39°

Answer:

Husfivhuisfhvkusdhvkufadhvkudshfukdahf

Step-by-step explanation:

Answer:

Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.

The answer is 36 degrees.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did