The pic of the question is down below
Show all working

The Pic Of The Question Is Down Below Show All Working

Answers

Answer 1

Answer:

GF ≈ 11.2HD ≈4.3∠HDE ≈68.8°

Step-by-step explanation:

The relevant trig relations are ...

  Tan = Opposite/Adjacent

  Sin = Opposite/Hypotenuse

These tell us ...

  tan(43°) = GH/DG

  GH = DG·tan(43°) = (12 cm)·tan(43°) ≈ 11.2 cm

and ...

  sin(HDE) = EH/ED = (11.2 cm)/(12 cm)

  ∠HDE = arcsin(11.2/12) ≈ 68.8°

The length HD can be found from ...

  tan(68.8°) = HE/HD

  HD = HE/tan(68.8°) = (11.2 cm)/tan(68.8°) ≈ 4.3 cm

_____

Additional comments

The values shown in the solution here are rounded according to the problem statement. The values actually used in the calculations are the full-precision calculator values. Rounding is only done on the final answers.

The Pic Of The Question Is Down Below Show All Working

Related Questions

. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)

Answers

Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)

Using the relation :

[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]

Sample size, n = 40467

Sample proportion, p = 3156/40467 = 0.078

Zcrit at 95% = 1.96

Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex]

Margin of Error = 0.0026128

Lower boundary = 0.078 - 0.0026128 = 0.075

Upper boundary = 0.078 + 0.0026128 = 0.081

Hence, the confidence interval is (0.075; 0.081)

Learn more :

Given that the area of a rectangle can be represented by 5x2-8x-4, write expressions to represent
the length and width of the rectangle. Show all work for credit.

Answers

Answer:

length:   5x + 2

width:   x - 2

Step-by-step explanation:

Factors of 5

1, 5

Factors of 4

1, 4

2, 2

Sign

one positive, one negative

Factor 5x^2 - 8x - 4

(5x + 2)(x - 2) = 5x^2 - 10x + 2x - 4

(5x + 2)(x - 2) = 5x^2 - 8x - 4

Therefor

length:   5x + 2

width:   x - 2

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 + 47 + 18). The expressions that four students created are shown in the table below.

Expressions Generated by Students
Student
Expression
Jeremy
(20 + 13 + 15) + (20 + 47 + 18)
Layla
(20 + 47 + 18) + (13 + 15 + 20)
Keith
(13 + 20) + (20 + 47 + 18) + 15
Melinda
(13 + 15 + 20 + 20) + (47 + 18)

How many of the students correctly applied only the associative property to rewrite the expression?
one
two
three
four
Mark this and return

Answers

Answer:

Jeremy

Step-by-step explanation:

You need to add 20+13+15=48 Then you add 20+47+18=85.

Hurry question is on picture

Answers

Answer:

The last one

Step-by-step explanation:

The rule y times x will give the amount of money earned. After washing x cars. You'll end up with equivalent coordinates

Answer:

y=8x

Step-by-step explanation:

y=8(1)=8     (1,8)

y=8(2)=16   (2,16)

y=8(3)=24   (3,24)

y=8(4)=32   (4,32)

y=8(5)=40   (5,40)

y=8(6)=48   (6,48)

y=8(7)=56    (7,56)

John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.


How much money did John earn over a nine week term?

After 9 weeks, John had $378 in his jar. What percentage of his money did he save?

Answers

Answer:

He earns $540

70% of his money went to savings

Step-by-step explanation:

9 weeks x 5 days a week = 45 days

45 days x $12 a day = $540

378 * 100 / 540 =  (378*100) / 540 =  37800/540 = %70

Can someone please help me with this?

Answers

Step-by-step explanation:

4a - 5b = 7

substract 4a from both sides

4a - 5b - 4a = 7 - 4a

positive 4a with negative 4a

5b = 7 - 4a

devide both sides by 5

[tex] \frac{5b}{5} = \frac{7 - 4a}{5} [/tex]

[tex]b = \frac{7 - 4a}{5} [/tex]

confused with this question

Answers

Answer:

max profit is 8000

and units sold to obtain max profit is 3000

Step-by-step explanation:

This equation is in general form for a parabola equation

so the vertex represent the maximum profit and units to be sold

General form looks like this

7=a(x-p)²+q

where p and q is the vertex, ie the max point

in this equation

p=3000

q=8000

so max profit is 8000

and units sold to obtain max profit is 3000

123, 472 to two decimal places​

Answers

Answer:

123.00 and 472.00

Step-by-step explanation:

can't really do much except add 0's since those numbers are whole numbers

the maximum speed of a car is 252 km/h change this speed into meters per second

Answers

Answer:

70.0000000001 meters per second

Step-by-step explanation:

The formula is to multiply by the factor 0.27777777777817.

252 km/h * 0.27777777777817 = 70.0000000001

What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x

Answers

hope this help

pls mark as brainliest

Two boxes are shown are cuboids

(Big box) : 50cm, 30cm, 20cm
little box: 10cm, 3cm, 4cm

how many of the smaller boxed would u need to fill in the bigger box? HELP

Answers

Answer:

25 little box will fit in the large box

Step-by-step explanation:

50×30×20=3000

10×3×4=120

so 3000/120=25

Answer: 25

Step-by-step explanation:

big cuboid=abc=50×30×20=3000cm3

little cuboid=10×3×4=120cm3

3000÷120=25

Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.

Answers

Answer: 150,000 x3=450000 and 40,000-25,000=65000

65,000+450,000=515000 thats your answer

Step-by-step explanation:

An auditorium seats 48 students per row. A total of 1665 students are in the auditorium today. All the rows are full except for the front row. a. How many rows are in the auditorium? There are rows in the auditorium.

Answers

1665/48 = 34.6875 rows

Since we know that these rows currently have students, we know that the auditorium has 35 rows with students. Since the front row is not full, it means there is an extra row.

36 rows

There are 35 rows in the auditorium.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

An auditorium seats 48 students per row.

And, A total of 1665 students are in the auditorium today.

Now,

Since, An auditorium seats 48 students per row.

And, A total of 1665 students are in the auditorium today.

Hence, Number of rows in the auditorium = 1665 / 48

                                                                 = 35

Thus, Number of rows in the auditorium = 35

Learn more about the divide visit:

https://brainly.com/question/169670

#SPJ2

What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?

Answers

Answer:

y=4x+6

Step-by-step explanation:

whoever answers i’ll mark brainliest

Answers

Answer:

D is (-5,0)

E is (-1,2)

F is (-3,-2)

Step-by-step explanation:

:P

-10+2= (operation of integers)

Answers

Answer:

-8

Step-by-step explanation:

Hi there! :)

-10+2=-8

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest; I would really appreciate that! :)

[tex]MysteriousNature :)[/tex]

Will give brainliest if right

Answers

Answer:

the answer is d to the problem

what would the answer be need help

Answers

Answer:

The equation would change to be f(x) = 12x + 50

Step-by-step explanation:

The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.

This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.

Thus, your new equation will be f(x) = 12x + 50

helppppppp




plwaseeee

Answers

first blank one is 5.58, 2nd blank one is 6.08 hope i got it right

Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.

Answers

Answer: In 3 years the money earned 18%. If we rounded to 20%, the interest would have been 500(0.20) or $100. Yes, $90 is reasonable.

If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?

Answers

Answer:

48 grapes,

Step-by-step explanation:

Firstly, let's sum up the ratio,

6+6+12=24

The fraction of grapes is therefore, 6÷24 or ¼

A ¼ of 192 is 48.

Signifying, there are 48 grapes.

A cheerilee teen willing to help,

stay positive, safe and Brainly!

Question:-

If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?

Answer:-

48 grapes

Explanation:-

look at the attached picture :)

The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?

Answers

Answer:

9200 dollars

Step-by-step explanation:

just minus it 77%

Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.

Answers

Answer:  -4, -14, -44, -134, -404

==========================================================

Explanation:

The notation [tex]a_1 = -4[/tex] tells us that the first term is -4.

To generate the next term, we'll use the recursive rule [tex]a_n = 3*a_{n-1}-2[/tex] which is probably better written as [tex]a_n = 3*(a_{n-1})-2[/tex]. That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".

This means,

2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404

Therefore, the first five terms are: -4, -14, -44, -134, -404

16+4(q+11)+10q simplify

Answers

Answer:

Dogodgo

Step-by-step explanation:

expand the expression, image attached giving brainliest please help

Answers

(2m + n) (2n -m)

2m×2n-2m×m+n×2n-mn

4mn-2m^2 +2n^2-mn

4mn-mn-2m^2+2n^2

3mn-2m^2+2n^2

at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the number of sodas sold find the number of sodas sold and the number of hotdogs sold.

Answers

Answer:  76 Sodas and 40 hot dogs

Step-by-step explanation:

Let S and H represent the numbers of Sodas and Hot dogs.

We are told that:

S + H = 116

We also see that:

H = S - 36

==

Take the second equation's value for H (S - 36) and use it in the first:

S + H = 116

S + (S-36) = 116

2S = 152

S = 76

and therefore H = S - 36, or 40.

76 + 40 = 116  [Checks]

76 Sodas and 40 hot dogs

You bought a shirt for $13.50 that was originally $45.00. In terms of percent, what discount did you get on the shirt?

Answers

Answer:

30%

Step-by-step explanation:

what is 122°F in °C?
a.1 °C
b.10 °C
c.100 °C
d.110 °C​

Answers

Answer:

50° C

Step-by-step explanation:

By the Formula :-

= > (122°F − 32) × 5/9

= > 50°C...ans

Hope it Helps you!!

The value of 122°F in °C is 50°C

Temperature

Temperature is the degree of hotness or coldness in a place. There are different temperature scales such as Celsius, Fahrenheit etc.

To convert from Fahrenheit to Celsius, use:

C = (F - 32) * 5/9

Given that F = 122, hence:

C = (122 - 32) * 5/9 = 50°

The value of 122°F in °C is 50°C

Find out more on Temperature  at: https://brainly.com/question/18130122

The tape diagram represents an equation.
р
p
36
Find the value of p that makes the equation true.

Answers

Answer:

It's 6

p=6

Step-by-step explanation:

Find the value of x and thank for answer

Answers

The value for x is 102 degrees

First we can find the second value in the triangle by subtracting 141 from 180. This works because when added together these two angles come together to from a line (180 degrees) because this value is now known (39 degrees) we can subtract both from 180:

180-39-39= x = 102
Other Questions
437. Which of the following words best fits in the blank in paragraph 1of the passage?a. dramaticb, modestc. undignifiedd. rewarding Question 12 ptsA game uses a single 6-sided die. To play the game, the die is rolled one time, with thefollowing results: Even number = lose $71 or 3 = win $25 = win $8.. anyone who provide domestic services in a household are callde PLZZZ HELP FOR BRAINLIST which absolutely value inequality represents the given graph? A. |-3x| < 15 B. |-3| > 15 what does anarchy mean? what do you think is the future of global governance in our changing world? A student who willl be the first in his or her familt to attend college is a ___ student 1. Have you... your English exam? Which of the following statements about large and small farms in the United States is true?A.The number of small farms has increased, but large farms still outnumber them.B.The number of small farms has increased, and they now outnumber large farms.C.The number of small farms has decreased, but they still outnumber large farms.D.The number of small farms has decreased, and they are outnumbered by large farms power held due to the position of authority is called __________ power. What is pre search in research papers Find the value of x (6x-5) (6x+5) An oil company estimates that only 1 well in 20 will yield commercial quantities of oil. Assume that successful drilled wells represent independent events. If 5 wells are drilled, find the probability of obtaining a commercially successful well for the following number of times. (Round your answer to six decimal places.) exactly 1 - C C) C.P = Rs 20, profit Rs 2, S.P. - State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl Psychographic segmentation of Starbucks classify the materials that undergo decay. write decay and non-decay in the space provided for 1. fish2.stick So this kid took my ipad and added himself to my project and he didnt change up the words so my teacher found out and took points off my grade so now my grade dropped and im upset Un camin traslada 12 vehculos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camin lleva una carga de 33 toneladas. Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.How much more did it snow last week than this week?01.03 inchesO 2.54 inches0 3.29 inchesO 3.57 inches