What is the measure of

Answer:

RN ≈ 4.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos65° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RN}{PR}[/tex] = [tex]\frac{RN}{10}[/tex] ( multiply both sides by 10 )

10 × cos65° = RN , then

RN ≈ 4.2 ( to 1 dec. place )

Answer:

Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes

Step-by-step explanation:

Answer:

a. d(x) = x

b. yes

Step-by-step explanation:

a. since c(x) = [tex]x^{2}[/tex] + 1

c(d(x)) = (d(x))^2 + 1 (replace x with d(x))

that means d(x) has to be x for c(d(x)) to equal [tex]x^{2}[/tex] + 1

b. for example if you use 2 as x, c(d(x)) will equal 5 since d(x) = 2 and [tex]2^{2}[/tex] + 1 = 5

d(c(x)) will also equal 5 because c(x) = [tex]2^{2}[/tex] + 1 = 5 and d(c(x)) = c(x) = 5

Answer:

first statement

Step-by-step explanation:

The absolute value of - 6 is | - 6 | = | 6 | = 6

The absolute value is always positive as it is a measure of the distance from the origin to - 6 and distance is always positive.

It is not the distance between 6 and - 6 on the number line.

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(Ⅰ) 2v² - 2v³ - 7 + 7v :

Standard Form → 2v³ + 2v² + 7v - 7v

Number of terms → Four (Polynomial)

Degree of Polynomial → Highest degree 3 (Cubic)

(Ⅱ) -3m -8m -7m²

Standard Form → -7m² - 8m - 3m

Number of terms → Three (Trinomial)

Degre of Polynomial → Highest degree 2 (Quadratic)

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Answer

A=15cm²

Step-by-step explanation:

let me know if im please :)

Answer:

3 x -2 x 4 x -3 = 72.

Answer:

solution given:

Area of triangle ABC=½b×h=½×18×21=189km²

Area of square DEFG=l²=9²=81km²

Area of rectangle DHIJ=l×b=4×13=52km²

Total area =189+81+52=322 square kilometers.

Answer:

322 sq. km

Step-by-step explanation:

the area of fig. =

(½×18×21)+(13×4)+(9×9)

= 189+52+81

= 322 sq. km

Answer:

value of W=180-(115+33)

= 180-148

=32

Answer:

2/51

Step-by-step explanation:

# of brown socks = 4

# of blue socks = 14

total # of socks = 18

The probability of pulling 1 brown sock = 4/18

If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks

So after the first pull ( if it were to be a brown sock )

there would only be 3 brown socks and 17 total socks

So the probability of pulling a brown sock then would be 3/17

Finally we multiply the two probabilities to get the answer

4/18 * 3/17 = 2/51

Hence, the answer is 2/51

Answer:

4

Step-by-step explanation:

(1,2) (0,-2)

y2 - y1 / x2 - x1

-2 - 2 / 0 - 1

-4 / -1

4

Answer:

y = 1/2x - 5

Step-by-step explanation:

y = 1/2x + b

-3 = 1/2(4) + b

-3 = 2 + b

-5 = b

Answer:

with T = 50⁰C, we have:

50 = 200 - 5x - x²

<=> x² + 5x = 150

<=> x² + 5x - 150 = 0

=> x = 10

Answer:

Height: 5meters

Step-by-step explanation:

Using the formula h= V over pie/3.14r^2 = 62.8 over 3.14 times 2^2 gives us 4.99747.

Answer:

4

Step-by-step explanation:

8×(-1)⁴-3×(-1)-7=8+3-7=4

Answer:

4

Step-by-step explanation:

Substitute x = - 1 into the expression

8[tex](-1)^{4}[/tex] - 3(- 1) - 7

= 8(1) + 3 - 7

= 8 + 3 - 7

= 11 - 7

= 4

Answer:

NPV, IRR, payback.

Step-by-step explanation:

The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,

-- the decision rule that is best is the NPV

-- the decision rule that is worst is payback period

The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.

The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.

And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.

Therefore, ranking the rules from best to worst is : NPV, IRR, payback.

Answer:

63/3465

Step-by-step explanation:

A small pond contains nine catfish and two bluegill.

Total number of fish = 9 catfish + 2 blue hill

= 11 fishes

Probability of picking one catfish = P(C) = P(9/11)

Probability of picking one bluegill = P(B) = P(2/11)

If nine fish are caught at random, the probability that all of them are catfish is calculated as:

= P(9 Catfish) = 9/11 × 8/10 × 7/9 × 6/8 × 5/7 × 4/6 × 3/5 × 2/4 × 1/3

= 362880/19958400

Further simplifying to the simplest fraction:

= 189/10395

= 63/3465

Answer:

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .

A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .

solution 2

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.

In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in

minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

Answer:

[tex]\sqrt{6}[/tex] units = g

Step-by-step explanation:

You can solve this either of the 2 ways:

#1.) Sin(60) = g/[tex]2\sqrt{2}[/tex]

=> Sin(60) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

#2.) Cos(30) = g/[tex]2\sqrt{2}[/tex]

=> Cos(30) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

Hope this helps!

Answer:

The baby gained 29 oz.

Step-by-step explanation:

1 pound is equal to 16 oz (ounces).

10 pounds is equal to 10 x 16 oz = 160 oz.

8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.

160 oz - 131 oz = 29 oz.

The baby gained 29 oz.

If this helps please mark as brainliest

Answer:

5 cupcakes per box

Step-by-step explanation:

45 ÷ 9 = 5

:)

Answer:

45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!!  9 x 5 is equal to 45.

Step-by-step explanation:

Answer:

89 m²

Step-by-step explanation:

Area of rectangle = 8 x 13 = 104

Area of triangle = (5 x 6) / 2 = 15

104 - 15 = 89 m²

Answer:

Fixed Deposits have a fixed lock-in period, which limits the unnecessary withdrawal of your money until maturity. A savings account, on the other hand, enables you to withdraw any amount at any time, which proves detrimental to your goal of wealth appreciation.

:)

Answer:

Step-by-step explanation:

1-$6

2-$12

3-$18

4-$24

Hope it helps you

Answer:

ratio 80:250

Step-by-step explanation:

there will be less people than babies