In ΔOPQ, o = 500 cm, p = 600 cm and q=380 cm. Find the measure of ∠P to the nearest 10th of a degree.

Answers

Answer 1

Answer: 84.8°

Step-by-step explanation:

a²+b²+c²-2bc(cosA)

cosA = b² + c² - a² / 2bc

That is the formula we will be using.

Then, plug in our numbers.

cosP= 500² + 380² - 600² / 2(500)(380)

cosP= 34400/380000

cosP≈ 0.09052631

cos⁻¹(0.09052631) ≈ 84.81

∠P = 84.8°


Related Questions

help me plssssssssssssssssss

Answers

Answer:

kmkioppppppppoiiu yw quip all cm ms all pure 100.00

The equations are
2y=3x
4y=12x
3y= x
y= 3x
pls pls help its due very soon!!

Answers

Answer:

4y+12x

Step-by-step explanation:

I dont have time to type sry

Complete the table. Then identify the y intercept and the coordinate where x = 1. (Help please)

Answers

My work is kinda messed up I would switch the order of the table to (-5,0), (0,1), (1,2), (2,4)

please help out!!!!!

Answers

Answer:

SSS

Step-by-step explanation:

It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle

plz help me its kinds hard :(

Answers

Answer:

Adjacent Supplementary

Step-by-step explanation:

Vertical angles are across from each other, so you can cross out any answers with vertical.

Complementary angles add up to 90, so you can cross out the answers with complementary.

Find the center and radius of x2+2x+y2+10y=15

Answers

Answer: (x + 7)^2 + (y + 5)^ =9

Step-by-step explanation:

From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angle of elevation to the top of the hill is 55

Answers

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

Write the expression in radical form: (16x^3)^1/4

Answers

Answer:

[tex]\sqrt[4]{16x^{3} }[/tex]

Step-by-step explanation:

Solve using the formula : [tex]a^{\frac{x}{n} } =\sqrt[n]{a^{x} }[/tex]

Rewrite in simplest terms: −10(5t+5)−10(10t+6)

Answers

Answer:-150t-110

Step-by-step explanation:

-10(5t+5)-10(10t+6)

-50t - 50 - 100t - 60

=

-150t-110

Compare the graph of g(x)=x2−3 with the graph of f(x)=x2

Answers

Answer:

g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.

Answer:

x²-3 if x² vertical transformation shift DOWN 3 units

Step-by-step explanation:

vertical transformation shift DOWN 3 units

Algebraic expressions. c^2+d^2​

Answers

Answer:

what are you asking?

Step-by-step explanation:

Choose the best decimal to represent 5 3/7

2.3

5.428571

2.3

5.428571

Answers

Answer:

5.428571

Step-by-step explanation:

[tex]5\frac{3}{7}[/tex]

take the fraction and divide that:

[tex]\frac{3}{7} =0.428571[/tex]

then just add 5:

5 + 0.428571 = 5.428571

or...

convert the mixed fraction to improper fraction:

[tex]5\frac{3}{7} = \frac{38}{7}[/tex]

divide like normal:

[tex]\frac{38}{7} = 5.428571[/tex]

The best decimal to represent 5 3/7 is:

5.428571

Which could not be the length of the unknown side of the triangle?
A. 12
B. 14
C. 15
D. 18

Answers

Answer:

All of them

Step-by-step explanation:

All the listed answers are greater than the side marked 11.  I don't know if this drawing is to scale, but even the answer 12 if you would make the triangle into two smaller right triangles from the vertex of angle ? and 6 to the side marked 11  

Sandy's monthly earnings consist of a fixed salary of $2,500 and a 10% commission on all her monthly sales. To cover her planned expenses, Sandy needs to earn an income of at least $6,000 this month. Write and solve an algebraic inequality to find the amount of sales Sandy needs to cover her planned expenses.

Answers

Answer:

$35,000

Step-by-step explanation:

Given data

Fixed salary= $2,500

Commission= 10%

Sandy wants to earn $6,000 this month

Let the total earning be y and the sales be x

Therefore the expression for Sandy's earning is given as

y=2500+0.1x---------------1

when y= $6,000

substitute in 1 and solve for x

6000=2500+0.1x

6000-2500=0.1x

3500=0.1x

x= 3500/0.1

x= $35,000

Hence the amount of sales will be $35,000

Given the functions f(n) = 500 and g(n) = (nine tenths)n − 1, combine them to create a geometric sequence, an, and solve for the 11th term.

Answers

Answer:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

[tex]A(11) = 174.34[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 500[/tex]

[tex]g(n) = (\frac{9}{10})^{n-1[/tex]

Represent the combination of f(n) and g(n) with A(n)

So, we have:

[tex]A(n) = f(n) * g(n)[/tex]

This gives:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

To calculate the 11th term, we make use of n = 11

[tex]A(11) = 500 * (\frac{9}{10})^{11-1[/tex]

[tex]A(11) = 500 * (\frac{9}{10})^{10[/tex]

This gives:

[tex]A(11) = 500 * (0.9)^{10}[/tex]

[tex]A(11) = 500 * 0.3486784401[/tex]

[tex]A(11) = 174.33922005[/tex]

Approximate to 2 dp

[tex]A(11) = 174.34[/tex]

Tell whether each pair of angle measurements are complementary, supplementary or neither.  36°,24°  18°,72°  96°,84°

Answers

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

[tex]36^\circ+24^\circ =60^\circ[/tex]

So, this pair is neither complementary not supplementary.

For 18° and 72°,

[tex]18^\circ+72^\circ =90^\circ[/tex]

So, this pair is complementary.

For 96° and 84°,

[tex]96^\circ+84^\circ =180^\circ[/tex]

So, this pair is supplementary.

Which expression is equivalent to 5(n + 7)?

Answers

5n + 35!!

All you can do is simplify by removing the brackets through the distributive property. This gives you another equivalent equation.

Please answer the question above.

Answers

Answer:

5.3!

Step-by-step explanation:

( in case you need work ) the angles are congruent so you set them equal to each other!

6x+12=9x-4

you then get 16=3x then divided its 5.3!

What is 23 fl oz = ______ c

Answers

Answer:

2.875c

Step-by-step explanation:

write the equation of a line that is parallel to 2x-5y=-20 and passes through the point (7,6)

Answers

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

Riley can paint 1/5 a room in 1/10 of an hour. At what rate does she paint?

Answers

Answer:

Working together, Bill and Tom painted a fence in 8 hours. ... Ben can wash 500 dishes in 2 hours, so, by dividing, I find that he can do 250 ..

Please help me find the volume :3

Answers

9514 1404 393

Answer:

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.​

Answers

9514 1404 393

Answer:

  3r +5c = 60

  6r +4c = 80

Step-by-step explanation:

There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.

Let r and c represent the costs of a record and a CD, respectively.

  3r +5c = 60 . . . . . . . the value of the first purchase

  6r +4c = 80 . . . . . . . the value of the second purchase

These equations comprise a linear system describing an aspect of the situation.

_____

Comment on the question

The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).

Which values of x make 2 x + 3 < 17 a true statement?

Answers

any number less than 7

En una ciudad, el porcentaje de la población que
fuma y bebe, de la que solo fuma y de la que
solo bebe, es la mitad, tercera y cuarta parte del
porcentaje que no fuma ni bebe. Determinar qué
porcentaje de la población fuma o bebe.

Answers

Answer: Si fuera de los que solo fuman sería del 43,5% si solo de los que lo beben sería del 20,5% si fueran los dos sería del 59%.

Step-by-step explanation:

The percentage of the population smokes or drinks is 52%.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We are given that;

The drink is half, third and quarter of the percentage

The sum of these percentages must be 100%, so we can write an equation:

x + (1/2)x + (1/3)x + (1/4)x = 100

To solve for x, we need to simplify and isolate x. We can do this by multiplying both sides by 12, the least common multiple of 2, 3, and 4:

12x + 6x + 4x + 3x = 1200

25x = 1200

x = 1200/25

x = 48

This means that 48% of the population neither smokes nor drinks. Therefore, the percentage of the population that smokes or drinks is:

(1/2)x + (1/3)x + (1/4)x

= (1/2)(48) + (1/3)(48) + (1/4)(48)

= 24 + 16 + 12

= 52

Therefore, the percentage answer will be 52%.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

The complete question is;

In a city, the percentage of the population that smokes and drinks, the one who only smokes and the one who only drinks, it is half, third and quarter of the percentage that neither smokes nor drinks. Determine what percentage of the population smokes or drinks.

Which points make the equation below true?

y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)

Answers

Answer:

b,c,d

Step-by-step explanation:

if its 43x, none of the point is true.

if its 4/3x:

a. Not true 4/3(1) + 5 = 6 1/3

b. True 4/3(6) + 5 = 13

c. True 4/3(21) + 5 = 33

d. True 4/3(99) + 5 = 137

Simplify. Write the expression using only positive exponents.
5b^-2/b^-3

Answers

the answer would be 5/b i’m pretty sure!

Answer:

5b?

cause ^-2 and b^-3 are going to be shortened..

I hope it's correct..

Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Answers

Answer:

y = -2*0.5ˣ

Step-by-step explanation:

general formula for exponential function: y = abˣ

for point (0 , -2):    -2 = a*b⁰ = a * 1 = a

a = -2

for point (-1 , -4):   -4 = (-2) * b⁻¹       b⁻¹ = (-4) / (-2) = 2    

b = 1/2

exponential function:     y = -2*0.5ˣ

On what day will both girls will be on the same page _____?

Answers

Answer:

like ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm .............. never

Step-by-step explanation:

If x > g and g = 8, which set of numbers could represent x? Remember the whole set of numbers, must make this inequality true.

Answers

Answer: all numbers 9 and up.

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