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.
What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?
Answer:
y=4x+6
Step-by-step explanation:
confused with this question
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
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.
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
What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x
hope this help
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Can someone please help me with this?
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]
what would the answer be need help
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
Ahmed invests an amount of $1200 for three years at 6%. Work out its a- Simple interest b- Total amount after three years.
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.
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
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
whoever answers i’ll mark brainliest
Answer:
D is (-5,0)
E is (-1,2)
F is (-3,-2)
Step-by-step explanation:
:P
Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.
==========================================================
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 = -404Therefore, the first five terms are: -4, -14, -44, -134, -404
Will give brainliest if right
Answer:
the answer is d to the problem
Hurry question is on picture
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)
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
Answer:
Jeremy
Step-by-step explanation:
You need to add 20+13+15=48 Then you add 20+47+18=85.
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.
Answer: 150,000 x3=450000 and 40,000-25,000=65000
65,000+450,000=515000 thats your answer
Step-by-step explanation:
what is 122°F in °C?
a.1 °C
b.10 °C
c.100 °C
d.110 °C
Answer:
50° CStep-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 maximum speed of a car is 252 km/h change this speed into meters per second
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
123, 472 to two decimal places
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
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.
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
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16+4(q+11)+10q simplify
Answer:
Dogodgo
Step-by-step explanation:
. 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)
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 = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower 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 :
You bought a shirt for $13.50 that was originally $45.00. In terms of percent, what discount did you get on the shirt?
Answer:
30%
Step-by-step explanation:
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.
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
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?
Answer:
9200 dollars
Step-by-step explanation:
just minus it 77%
-10+2= (operation of integers)
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]
Find the value of x and thank for answer
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?
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
expand the expression, image attached giving brainliest please help
(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
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,
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.
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stay positive, safe and Brainly!
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 :)
helppppppp
plwaseeee
The tape diagram represents an equation.
р
p
36
Find the value of p that makes the equation true.
Answer:
It's 6
p=6
Step-by-step explanation: