Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m. She started at point C. Determine the angle, to the
nearest degree, between her path and the longest side of the playground.
B
45m
D
60 m

Answers

Answer 1

Answer:

37degrees

Step-by-step explanation:

In order to get the required angle, we will use the SOH, CAH, TOA identity.

Let;

Adjacent = 60m

Opposite = 45m

According to TOA:

tan theta = opp/adj

tan theta = 45/60

tan theta = 0.75

theta = arctan 0.75

theta =  36.86

Hence the  angle, to the  nearest degree, between her path and the longest side of the playground is 37degrees


Related Questions

Pls help me this is my homework

Answers

Answer:

C) 840

C) 87

D) 3000-150n

Step-by-step explanation:

Answer:

c

c

d

Step-by-step explanation:

In circle D, which is a secant?
G
F
С
Н
Оооо
В 12 13
E
В

Answers

Answer:

GH

Step-by-step explanation:

A secant is a straight line which cuts the circle at 2 points

GH and FE both do this but FE is a special secant, that is the diameter

Then GH is a secant

The sum of a number and 5 decreased by twice the number.

Answers

Answer:

-x+5

hope this help!!!

Step-by-step explanation:

Given P(B | A)=0.75, P(A ∩ B)=0.15, P(B’)=0.7, find P(A ∪ B)

Answers

By definition of conditional probability,

P(B | A) = P(A ∩ B) / P(A)

==>   P(A) = P(A ∩ B) / P(B | A) = 0.15/0.75 = 0.2

By definition of complement,

P(B') = 1 - P(B)

==>   P(B) = 1 - P(B') = 1 - 0.7 = 0.3

Now by the inclusion/exlcusion principle, we have

P(A U B) = P(A) + P(B) - P(A ∩ B)

==>   P(A U B) = 0.2 + 0.3 - 0.15 = 0.35

HELP PLEASE THANK YOU SO MUCH BRAIN FOR CORRECT

Answers

Answer:

A: Only (2,3)

Step-by-step explanation:

1. 3-3 = 5(2-2) WORKS! (2,3)

2. 2-3 = 5(3-2) Does not work :(

Answer:

Only A

Step-by-step explanation:

If you plug in x or y into the equation, only (2, 3) works

3. Rita is applying for a job as an engineer. Hier starting salary at Company will be $30,000 a $300 yearly
raise. Her starting salary at company will be $65.000 with a 5% increase sach year. If Rata is working at a
company for 5 years. Which company should she pick?

Answers

Answer:

The 65,000 salary

Step-by-step explanation:

Because the 30,000 salary after 5 years would be 31,500.

30,000+300=30,300

30,300+300=30,600

30,600+300=30,900

30,900+300=31,200

31,200+300=31,500

The 65,000 paying company

65,000x1.05=68,250

68,250x1.05=71.662.5

71,662.5x1.05=75,245.625

75,245.625x1.05=79,007.90625

79,007.90625x1.05=82,958.3015625

her salary after 5 years would be 82,958.3015625

Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcase.

Answers

Answer:

I am currently taking a unit test and I just got this question. I believe it is the answer but I haven't submitted yet.

Step-by-step explanation:

The answer I chose seems to be the only logical answer.

help me pleaseeeeeeee!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

Using the chord chord theorem

10(4) = 5x

Solve for x

Simplify multiplication

40 = 5x

Divide both sides by 5

40/5 = 8

5x/5 = x

We're left with x = 8

Note:

Chord chord theorem states that if two chords intersect then the product of the measures of each part of one chord is equal to the product of the measures of the parts of the other chord.

Because the chords shown intersect the product of the parts of each chord should be equal to each other ( 4 * 10 = 5x )

Source: https://www.dummies.com/education/math/geometry/how-to-use-the-chord-chord-power-theorem

What is the answer? How to solve?

Answers

Answer:

a +73°=90°

a= 90°-73°

a =17°

d+18°=90°

d=90°-18°

d =72 °

A survey was done that asked students to indicate whether they enjoy reading or playing video games.

What is the ratio of those who do not enjoy reading and those who do not enjoy playing video games?

Enter your answer, in simplified form without using decimals, in the boxes.
please help me :D

Answers

Answer:

9 to 3

Step-by-step explanation:

Those who don't enjoy reading: 8+1=9

Those who don't enjoy playing video games: 1+2=3

Ratio is 9 to 3.

Explainnnnnn help me please

Answers

Answer:

99cm²

Step-by-step explanation:

area for a triangle = 1/2 x b x h

area = 1/2 x 11 x 18

area = 99cm²

The answer is 99cm squared

I got H / 75 but I might be wrong any confirmation ​

Answers

Answer:

30

Step-by-step explanation:

Angle PNM = 180-105

                   = 75

IF PM = PN  then

<PNM = <PMN = 75

<PMN + <PNM + <P = 180 since they form a triangle

75 + 75 + x = 180

150+x = 180

x = 180-150

x = 30

Answer:

<MPN = 40°

Step-by-step explanation:

180° - <PNQ = <PNM ( Angles in a straight line )

180° - 105° = 75°

<PMN = < PNM = 75°

<PMN + <PNM + <MPN = 180°

75 ° + 75° + <MPN = 180°

<MPN = 180° - 150°

<MPN = 30°

Simplify each of the following:
a) root25 + root50 - root24 + root49

b) root2(2root8 – 3root32 + 4roor50)
Show your work

Answers

Answer:

a)

√25 + √50 - √24 + √49 =5 + 5√2 - 2√6 + 7 = 12 + 5√2 - 2√6

b)

√2(2√8 – 3√32 + 4√50) =2√16 - 3√64 + 4√100 = 2*4 - 3*8 + 4*10 = 8 - 24 + 40 = 24

Answer:

a.) 12 + 5√2 - 2√6

b.) 24

Step-by-step explanation:

a) √25 + √50 - √24 + √49

√25 + √50 - √24 + √49

Calculate the square root .

5 + √50 - √24 + 7

Simplify the radical expression.

5 + 5√2 - 2√6 + 7

Combine like terms.

5 + 7 + 5√2 - 2√6 12 + 5√2 - 2√6

b.) √2 ( 2√8 - 3√32 + 4√50 )

√2 ( 2√8 - 3√32 + 4√50 )

Simplify the radical expression.

√2 ( 4√2 - 3 × √2 + 20√2)

Evaluate the power.

√2 ( 4√2 - 3 × 4√2 + 20√2)

Calculate the products.

√2 ( 4√2 -12√2 + 20√2)

Combine like terms.

√2 × (4 - 12 + 20 )√2√2 × 12 √ 2

Multiply.

2 × 12 24

The exchange rate for converting US dollars to Chinese yuan is $6.11 how much is US$600 worth in China

Answers

Answer:

96 yuan

Step-by-step explanation:

We know how much one yuan is, so we can convert that to $1, Then multiply by 600. To find a USD, we need to divide the yuan by the dollar.

[tex]1/6.11=0.16[/tex]

Now we have a full dollar, and we need to multiply the yuan by 600 to get our 600 dollar value.

[tex]0.16*600=96[/tex]

which expression is in the simplest form of 4x^3+x^2+2(x^3-3x^2)
a. 4x^3-6x^2
b. 6x^3-6x^2
c. 2x^3-6x^2
d. 6x^3-5x^2

Answers

Answer:

It's D.  6x^3-5x^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4x^3+x^2+2(x^3-3x^2)

4x^3 + x^2 + 2x^3 -6x^2 (Distributed 2 through the parenthesis)

= 6x^3 -5x^2

Answered by Gauthmath

How do you solve this?
rs/a = k for r

Answers

Answer:

Step-by-step explanation:

In  [tex]\frac{rs}{a}=k[/tex] begin by multiplying both sides by a to get

rs = ak  and divide away the s to get

[tex]r=\frac{ak}{s}[/tex]

Wages and salaries
Kelly earns a salary of $68 430 pa how much does he earn each week, each fortnight and each month?

Answers

Answer:

Each week = $ 1311.41

Each fortnight = $ 2622.84

Each month =  $ 5702.5

Step-by-step explanation:

Given that,

Annual salary of Kelly = $ 68,430

As we know,

There are 52.18 weeks in a year.

So,

Weekly income = Annual salary ÷ no. of weeks in the year

= $ 68,430 ÷ 52.18

= $ 1311.42

Fortnight income = 2 * weekly income

= 2 * $ 1311.42

= $ 2622.84

Each month's income = Annual income ÷ 12(no. of months)

= $ 68,430 ÷ 12

= $ 5702.5

The quadratic formula can be used to solve any quadratic equation in standard form.
True or False

Answers

Answer:

True

Step-by-step explanation:

The quadratic formula can be applied to any quadratic equation in the form [tex]ax^2+bx+c=0[/tex] (standard form).

The quadratic formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

I hope this helps!

Answer:

its true

Step-by-step explanation:

Quick! HELP! THANK YOU SO MUCH!
If the difference between the interior and exterior angles of a regular polygon is 100°, how many sides does the polygon have?

Answers

Answer:

9 sides

Step-by-step explanation:

Sum of the measures of the interior angle of a polygon with n sides:

(n - 2)180

Measure of 1 interior angle of a regular polygon of n sides:

(n - 2)180/n

Sum of the measures of the exterior angles of a polygon, one per vertex:

360

Measure of 1 exterior angle of a regular polygon of n sides:

360/n

(n - 2)180/n = 360/n + 100

Multiply both sides by n.

(n - 2)180 = 360 + 100n

Distribute on left side.

180n - 360 = 360 + 100n

Subtract 100n from both sides.

80n - 360 = 360

Add 360 to both sides.

80n = 720

Divide both sides by 80.

n = 9

Answer: 9 sides

I believe this would be 9 sides

SOMEONE PLEASEEE HELP MEEE OUTTTT!!!

Answers

Answer:

cos x= 11/19

x=54.62

Step-by-step explanation:

use cosine to find the angle

plzzz helpppp due today

Answers

Answer:

3 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hyp

sin 60 = ZY / 6

6 sin 60 = ZY

6 (sqrt(3) /2) = ZY

3 sqrt(3) = ZY

what is the length of de

Answers

Answer:

x = 6

Step-by-step explanation:

Since <F = <F, this shows that the triangles are similar. Therefore:

XZ/DF = XY/DE

12/8 = 9/X

Cross multiply

12X = 9*8

12X = 72

X = 72/12

X = 6

Hence the value of x is 6

WILL MARK BRAINLIEST

picture included^^^^

need help asap please n thank you!


^^^^

Answers

Answer:

14

Step-by-step explanation:

The a value is from the center to the maximum

We want from minimum to max so we need 2 times the amplitude

a = 7

2 *7 = 14

What is the tangent ratio of angle x?
tan x= 20/21
tan x= 21/29
tan x= 20/29
tan x= 21/20

Answers

Answer:

[tex]\tan x=21/20[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

For angle [tex]x[/tex], its opposite side is 21 feet and its adjacent side is 20 feet. Therefore, we have:

[tex]\boxed{\tan x=21/20}[/tex]

can i get the answer quick

Answers

Answer:

p^3 - 7p^2q^2 + 2pq

Step-by-step explanation:

3pq +5p^2q^2 + p^3 = p^3 + 5p^2q^2 + 3pq

Let the number be x.

x + p^3 + 5p^2q^2 + 3pq + p^3 - pq

= 3p^3 - 2p^2q^2 + 4pq

x + p^3 + p^3 + 5p^2q^2 + 3pq - pq

= 3p^3 - 2p^2q^2 + 4pq

x + 2p^3 + 5p^2a^2 + 2pq

= 3p^3 - 2p^2q^2 + 4pq

x

= 3p^3 - 2p^2q^2 + 4pq - (2p^3 + 5p^2q^2 + 2pq)

= 3p^3 - 2p^2q^2 + 4pq - 2p^3 - 5p^2q^2 - 2pq

= 3p^3 - 2p^3 - 2p^2q^2 - 5p^2q^2 + 4pq - 2pq

= p^3 - 7p^2q^2 + 2pq

Therefore,

p^3 - 7p^2q^2 + 2pq should be added.

Someone please help me I got those three red boxes incorrect so many times

Answers

Hi there!

-10-2 is equal to -12, not -8. This changes everything.

The fraction would be -12/16, which simplifies to -3/4.

I hope this helps!

Answer:

1st red box:

-10 - 2 = -12

2nd box above:

-3

3rd box:

4

please solve this please ​

Answers

Answer:

3

Step-by-step explanation:

Here you go hope this helps

The circle centered at $(2,-1)$ and with radius $4$ intersects the circle centered at $(2,5)$ and with radius $\sqrt{10}$ at two points $A$ and $B$. Find $(AB)^2$.

Answers

The first circle has equation

(x - 2)² + (y + 1)² = 4²

and the second has equation

(x - 2)² + (y - 5)² = (√10)²

Solve for (x - 2)² :

(x - 2)² + (y + 1)² = 4²   ==>   (x - 2)² = 16 - (y + 1)²

(x - 2)² + (y - 5)² = (√10)²   ==>   (x - 2)² = 10 - (y - 5)²

Then

16 - (y + 1)² = 10 - (y - 5)²

16 - (y ² + 2y + 1) = 10 - (y ² - 10y + 25)

15 - 2y - y ² = -15 + 10y - y ²

30 - 12y = 0

12y = 30

y = 30/12 = 5/2

(this is the y coordinate of A and B)

Then solve for x :

(x - 2)² = 16 - (5/2 + 1)²

(x - 2)² = 15/4

x - 2 = ± √(15/4) = ±√15/2

x = 2 ± √15/2

(these are the x coordinates for either A or B)

The intersections are the points A = (2 - √15/2, 5/2) and B = (2 + √15/2, 5/2). We want to find the squared distance between them:

(AB)² = [(2 - √15/2) - (2 + √15/2)]² + (5/2 - 5/2)²

(AB)² = (-√15)² + 0²

(AB)² = 15

(8) The average daily temperatures in July of some cities in Texas are shown in the table. Which
of the following fiets the cities from greatest temperature to least temperatura
City
Average Daily
Temperature
Austin
84.52F
Dallas
85.9°F
San Antonio
85 F
Fort Worth
85.31°F
a. Dallas, Fort Worth, San Antonio, Austin
b. Austin, Dallas, San Antonio, Fort Worth
c. Austin, San Antonio, Fort Worth, Dallas
d. Dallas, San Antonio, Fort Worth, Austin

Answers

Answer:

A.

Step-by-step explanation:

85.9 > 85.31 > 85 > 84.52

Dallas, Fort Worth, San Antonio, Austin

An airplane from Singapore to Melbourne takes about 7 1/2 hours to cover a distance of 6057 km. What is the average speed of the airplane.

Answers

Answer:  13.46 km/h

Step-by-step explanation:

7 1/2 hr= 450 min

6057/450= 13.46

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