In ΔPQR, the measure of ∠R=90°, the measure of ∠P=38°, and PQ = 62 feet. Find the length of RP to the nearest tenth of a foot.

Answers

Answer 1

Answer:

48.9 feet

Step-by-step explanation:

cos P =  Adj / Hyp = X / 62

cos 38 = X / 62

X = 48.8567 = 48.9


Related Questions

I need help on this question ​

Answers

Answer:

1. equal

2. add to 180

3. equal

4. add to 180

Step-by-step explanation:

as 1 and 3 are linear pairs

2 and 4 are vertically opposite angles

Which is a quadratic function?

Answers

Answer:

it has two zeroes

it is of the form ax^2+bx+ c

thats all

Step-by-step explanation:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola.

write each expression in simplest form



12c - c =

Answers

Answer:

11c

Step-by-step explanation:

12c-c=11c

It would look like this without the variable (just to make it easier to understand)

12-1=11

pls helpppppppppppp!

Answers

Answer: g= -1/12

Step-by-step explanation:

I just solved it hope I helped

You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?

Answers

Answer:quarterly, monthly, daily

Step-by-step explanation:

quarterly: y=7000 (1+.05/4)'10(4)     answer y=11,505.34

monthly: y=7000 (1+.05/12)'10(12)    answer y=11,529.07

daily: y=7000 (1+.05/365)'10(365)    answer y=11,540.65

What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more

The account will be worth approximately $11,505 if compounded quarterly.

The account will also be worth approximately $11,540 if compounded daily.

A. Compounded quarterly:

n = 4 (quarterly compounding)

A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]

A ≈ 7000(1.0125)⁴⁰

A ≈ 7000 x 1.643619463

A ≈ 11505.34

The account will be worth approximately $11,505 if compounded quarterly.

B. Compounded monthly:

n = 12 (monthly compounding)

A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]

A ≈ 7000(1.00416666667)^(120)

A ≈ 7000 x 1.6487212707

A ≈ 11540.05

The account will be worth approximately $11,540 if compounded monthly.

C. Compounded daily:

n = 365 (daily compounding)

A = 7000(1 + 0.05/365)^(365*10)

A ≈ 7000(1.0001369863)^(3650)

A ≈ 7000 * 1.6487212707

A ≈ 11540.05

The account will also be worth approximately $11,540 if compounded daily.

B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.

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What is the end behavior of f(x) =log3 (x+7) -1?

Answers

Answer:x=-4

Step-by-step explanation:

can someone help please?

Answers

CCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Dillon peeled 40 pounds of potatoes. How many ounces of potatoes did Dillon peel?

Answers

Answer:

640

Step-by-step explanation:

40 pounds = 640 ounces

The ounces of potatoes that Dillon peeled is 640 ounces.

What is Unit Conversion?

Unit conversion is defined as expressing the same quantity by different measurement units.

For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.

Given that,

Amount of potatoes that Dillon peeled = 40 pounds

We have to convert the same amount of potatoes in to the measurement unit of ounces.

We have to convert the unit.

We have the measurement unit that,

1 pound = 16 ounces

40 pounds = 40 × 16 = 640 ounces

Hence 640 ounces of potatoes did Dillon peel.

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The graphs of functions f and g are shown. Which statements are evidence that function g is the inverse of function f?

Answers

Answer:

It is C and D

Step-by-step explanation:

The local pizzeria is charging $12.50 for a medium pizza with no toppings. Each topping costs $1.20 each. The variable, P, to represent the price and the variable, t, to represent the number of toppings. Which of the following models is correct?

a) P = 12.50t + 1.20

b) P = 1.20t + 12.50

c) t = 12.50P + 1.20

d) t = 1.20P + 12.50

Answers

Answer:

B is the correct answer!

Answer:

im thinking B

Step-by-step explanation:

A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?

Answers

Answer:

9.25 + 25.75p ≤ 245

Step-by-step explanation:

I didn't see any inequality options to select from . . .

245 ≤ 9.25 + 25.75p

p= number of people

since there’s no more than $245, they can only spend the exact amount or less than which is why ≤ (less than or equal) to is used.

hope this helps :)

A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the ratio in three different ways. Do not simplify the ratios. Enter the correct answers in the boxes.

Answers

Answer:

The answer is 5:2 5 to 2 5/2.

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP​

Answers

Answer:

81/x - 3 = 6 2x - 3 = 15

Answer:

it's only the last two

Step-by-step explanation:

3x + 2 = 25

3x + 2 - 2 = 3x

25 - 2 = 23

3x = 23

3x / 3 = x

23 / 3 = 7 2/3

x = 7 2/3 not this one

x/3 + 7 = 8

x/3 + 7 - 7 = x/3

8 - 7 = 1

x/3 = 1

x/3 * 3 = x

1 * 3 = 3

x = 3 not this one

4 + 5x = 18

4 + 5x - 4 = 5x

18 - 4 = 14

5x = 14

5x / 5 = x

14 / 5 = 2 4/5 not this one

24 - 2x = 13

24 - 2x - 24 = -2x

13 - 24 = -11

-2x = -11

-2x / -2 = x

-11 / -2 = 5 1/2 not this one

81/x - 3 = 6

81x - 3 + 3 = 81/x

6 + 3 = 9

81/x = 9

81/x * x = 81

9 * x = 9x

81 = 9x

81 / 9 = 9

9x / 9 = x

9 = x this one

2x - 3 = 15

2x - 3 + 3 = 2x

15 + 3 = 18

2x = 18

2x / 2 = x

18 / 2 = 9

x = 9 this one

A farmer sells 9.4 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer: 6.9 kg

Step-by-step explanation:

Given

The combined weight of apple and pears is 9.4 kg

If pears weigh 2.5 kg

The weight of apples is the subtraction of pears weight from the total

[tex]\Rightarrow 9.4-2.5=6.9\ kg[/tex]

Thus, the farmer sells 6.9 kg of apples

Please help with this question it is 60% of my grade.

Answers

Answer: b

Step-by-step explanation:

you start with 0 min- equals 24

1 min- 21

2 min- 18

3 min- 15

4 min- 12

5 min- 9

and so on- you look for the table that best describes that. x represents the minutes, and y represent the amount of water left in the sink.

Answer:

B

Step-by-step explanation:

After the first minute it should be at 21, because it would be reduced by 3. Second, the same. ETC

A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?

Answers

Answer:

x(x-4)(x+8)

Step-by-step explanation:

Factor.

x(x^2+4x-32)

x(x-4)(x+8)

What is the BEST first step in converting the standard equation below to slope intercept form?
x + 2y = 4

Answers

Subtract x

Then divide by 2

A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?

Answers

Answer:

x=1

Step-by-step explanation:

30% = .30 or .3

$40(.3)= 12

$12 is how much money you saved. So now just subtract 40-12.

$40-12= $28

The sweater will cost $28 dollars at discounted price.

Find the distance between the two points rounding to the nearest tenth (if necessary).

(−1,−2) and (5,2)

Answers

Answer:

7.2 units

Step-by-step explanation:

To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (-1, -2) & (5, 2)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(5 - (-1))² + (2 - (-2))²]

Simplify the parentheses.

d = √[(5 + 1)² + (2 + 2)²]

d = √[(6)² + (4)²]

Simplify the exponents.

d = √[36 + 16]

Add.

d = √[52]

Evaluate the radical.

2√13 or 7.2111

Round the decimal.

7.2 units

Hope this helps!

Which equation is represented by the graph below?
5
4+
3+
2+
t
5 4 3 -2 -11
+ +
4 5
1
2.
3
3
-27
-3+
T 17

Answers

Answer 1               8      

Step-by-step explanation:

[tex]y = \frac{1}{2} e^{x}[/tex]  equation is represented by the given graph.

What is graph?

"Graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

From the observation of the graph,

for x= 0

y- intercept = [tex]\frac{1}{2}[/tex]

a.  [tex]y = \frac{1}{8} e^{x}[/tex]

Substitute x = 0 in the equation we get,

[tex]y = \frac{1}{8} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{8}[/tex]

Therefore,

Option (a) is not the correct answer.

b. [tex]y = \frac{1}{2} e^{x}[/tex]

Substitute x = 0  in the equation we get,

[tex]y = \frac{1}{2} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{2}[/tex]

which is same as graph value.

Hence, Option (b) is  the correct answer.

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Find the value of x.

Answers

Answer:

x = 30.74

Step-by-step explanation:

39 - 15 = 24

y^2 + 24^2= 36^2

y^2 + 576= 1296

y^2= 720

y= [tex]12\sqrt{5}[/tex]

15^2 + [tex]12\sqrt{5} ^{2}[/tex]= x^2

225 + 720 = x^2

x^2= 945

x = 30.74

the value of x=30.74

Pls help me if your great at math I’ll mark brainliest <3 (if correct)

Answers

Answer:

I believe it's B

Hope this helped<3

Which system of equations is best represented by the graph?

Answers

Answer:

it's the first one

Step-by-step explanation:

since all of them go up to 8 on the graph it

the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.

I’ll mark brainliest if correct :)

Answers

Answer:

x = -2

y = 9

Step-by-step explanation:

y = -3x + 3

y = 5x + 19

We can put one y as another:

-3x + 3 = 5x + 19

-8x = 16

x = -2

And now let's check using x = -2

y = (-3 * -2) + 3

y = (5 * -2) + 19

y = 6 + 3

y = -10 + 19

y = 9

y = 9

answer both and i will give brianlist

Answers

Answer:

1. Perpendicular

2. y=5x+7

Step-by-step explanation:

brainliest please?

Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

800(1-3/100)

800(100-3)/100

800(97)/100

77600/100

776 is her score.

Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select two that apply.
Line l is parallel to line m.
Line l is parallel to line p.
Line m is parallel to line q.
Line l is parallel to line q.
Line m is parallel to line p.
Line p is parallel to line q.

Answers

Answer:

A and E

Step-by-step explanation:

After all of the lines are reflected across the y-axis, the true statements are Line l parallels Line m, and Line m parallels Line p.

What is meant by Parallel lines?Parallel lines are two lines in the same plane that are equal distance apart and never intersect. Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet. Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

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I need help, please please please

Answers

Answer:

A.

Step-by-step explanation:

There is a picture of a graph

The answer is A for your answer

​For the two right triangles above, explain why a/8=x/12 . ​ ​What ​trigonometric ratio is also equal to the two given ratios?

Answers

Answer:

sin trigonometry ratio

Step-by-step explanation:

Given

See attachment for triangles

Required

Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]

From the attached diagram, both triangles are similar triangles because

(1) the second triangle is a dilation of the first triangle by a ratio of 1.5

i.e

[tex]k = \frac{12}{8}[/tex]

[tex]k = 1.5[/tex]

(2) They have angle 30 degrees, and have their right angles located at the same point

In the first triangle, the sine of 30 degrees is represented as:

[tex]sin(30) = \frac{Opp}{Hyp}[/tex]

This gives:

[tex]sin(30) = \frac{a}{8}[/tex]

In the second triangle:

[tex]sin(30) = \frac{Opp}{Hyp}[/tex]

So:

[tex]sin(30) = \frac{x}{12}[/tex]

By comparison:

[tex]sin(30) = sin(3)[/tex]

Hence:

[tex]\frac{a}{8} = \frac{x}{12}[/tex]

What is the inverse (opposite) of subtraction?

Answers

Answer: Addition I think

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