plz i need help
In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sinF?
Answer:
Sin F = 0.6
Step-by-step explanation:
From triangle ABC, applying Pythagoras theorem to determine the length AB;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/AC/^{2}[/tex] = [tex]/BC/^{2}[/tex] + [tex]/AB/^{2}[/tex]
[tex]/20/^{2}[/tex] = [tex]/16/^{2}[/tex] + [tex]/AB/^{2}[/tex]
400 = 256 + [tex]/AB/^{2}[/tex]
[tex]/AB/^{2}[/tex] = 400 - 256
= 144
AB = [tex]\sqrt{144}[/tex]
= 12
AB = 12, AC = 20, BC = 16
Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is [tex]\frac{1}{3}[/tex] the length of the corresponding side of triangle ABC.
Then,
DE = [tex]\frac{1}{3}[/tex]AB = [tex]\frac{1}{3}[/tex] x 12
= 4
EF = [tex]\frac{1}{3}[/tex]BC = [tex]\frac{1}{3}[/tex] x 16
= [tex]\frac{16}{3}[/tex]
DF = [tex]\frac{1}{3}[/tex]AC = [tex]\frac{1}{3}[/tex] x 20
= [tex]\frac{20}{3}[/tex]
Then, applying trigonometric function to ΔDEF, we have;
Sin F = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{DE}{DF}[/tex]
= 4 ÷ [tex]\frac{20}{3}[/tex]
= 4 x [tex]\frac{3}{20}[/tex]
= [tex]\frac{3}{5}[/tex]
Sin F = 0.6
Luanda wants to buy a box of cereal. Which box has the lowest cost per ounce? Group of answer choices 20-oz box for $3.20 10-oz box for $1.70 15-oz box for $2.25 16-oz box for $2.72
Answer: 15-oz for 2.25
3.20÷20= 0.16
1.70÷10= 0.17
2.25÷15= 0.15
2.72÷16= 0.17
I hope this helps:
pLeAsE hElP mE...!!!!!!????? wut is 20 x 87
Answer:
69
jk 1740
Step-by-step explanation:
Answer:
well, the required answer is 1740
Step-by-step explanation:
it can be written as
=》 20 × ( 80 + 7 )
=》 1600 + 140
=》 1740
sont answer if u don't have a answer
Answer:
no association because there is no specific pattern
I only need number 18 and 19 please show work if you can
Step-by-step explanation:
Size of Exterior angle = 360°/n, where n represent the number of sides of the regular polygon.
Question 18:
Pentagon = 5 sides,
Exterior angle = 360°/5 = 72°.
Question 19:
Exterior angle = 360°/36 = 10°.
answer for brainliest
Answer:
the last option is the right answer
Step-by-step explanation:
last week:
d = 18
d = 18h = 6
this week:
d = 2.5h
i. if she walked for 6 hours this week, h = 6
d = 2.5h
d = 2.5 × 6
d = 15
* this means she walked at slower pace this week as she can only cover 15 miles in 6 hours whereas she can cover 18 miles in 6 hours last week
ii. if she walked for 18 miles this week, d = 18
d = 2.5h
18 = 2.5h
h = 18/ 2.5
h = 7.2
* this means she walked at a slower pace this week as she needs 7.2 hours to cover 18 miles whereas she only need 6 hours last week
Express 10 : 12 as a decimal.
(Round to the nearest hundrerdth)
Answer:
pretty sure it's .833
Step-by-step explanation:
hi
i made u scroll
ur
going
to
get
31 points
Answer:
Thanks for free points have a nice day :)
(-3x - 2 + 4x³) + (3x - 6x²-6)
can any1 solve this? its Polynomials.
Answer:
4x³ - 6x² - 8
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
(-3x - 2 + 4x³) + (3x - 6x² - 6)
Step 2: Simplify
Combine like terms (x): 4x³ - 6x² - 2 - 6Combine like terms (Z): 4x³ - 6x² - 8A rectangle has a height of 5 and a width of 4x^2-2x-6
what is the value of x? -6x=90
Please show you got the answer
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
2(2x + 4) - (5x - 3)
Answer:
-x + 11
Step-by-step explanation:
Distribute 2 into 2x + 4 to get 4x + 8, convert the negative sign for the second pair of parentheses to get - 5x + 3. Combine the two like terms together to get the final answer which is -x + 11.
The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.
Answer:
B
Step-by-step explanation:
I know because I know that how
The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.
Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.
The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.
Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
Learn more about Mean here:
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There are 40 apples in a crate.
3
5 of the apples are bad.
How many good apples are there?
how do u message i need to know
Answer:
like you wanna message on brainly? or...something else
which is the correct graph for the equation?
Answer:
From the given graph, we can easily determine that graph A contains the y-intercept b = 3.
Thus, option A is the correct option.
The graph of the equation is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the function
2x+5y=15
converting the equation into the slope-intercept form
5y = -2x + 15
divide both sides by 5
y = -2/5x + 3
Thus,
The slope of the line is: m = -2/5
The y-intercept of the line: b = 3
In other words, the ordered pair (0, 3) represents the y-intercept.
From the given graph, we can easily determine that graph A contains the y-intercept b = 3.
Thus, option A is the correct option.
The graph of the equation is also attached below.
PLEASE HELP!
answer correctly!!
what is the range of the function f(x) = 3/4 |x| - 3
Answer:
all real numbers greater than or equal to -3
Step-by-step explanation:
Range: output values of a function (y-values)
Given function:
[tex]f(x)=\dfrac{3}{4}|x|-3[/tex]
This is an absolute value function so |x| ≥ 0
Therefore, as |x| ≥ 0:
[tex]\implies \dfrac{3}{4}|x|\geq 0[/tex]
[tex]\implies \dfrac{3}{4}|x|-3\geq -3[/tex]
So the range of the given function is [-3, ∞):
all real numbers greater than or equal to -3
Mr harrles worked 40 houres this week he also got a bounuse of 180$ hemr.Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip
Question:
Abdulla took a takie from his home to the air port. The taxi driver chared an initial fee of 12AED pluse 2.50AED per km. How much change should the taxi driver give mr abdulla bach if he gave him 100AED at the end of his trip
Answer:
88 - 2.50x
Step-by-step explanation:
Given :
Initial charge = 12
Charge per kilometer = 2.50
Amount given to driver = 100
Let distance from home to airport = x
Total charge = (initial charge + (distance * charge per km)
Total charge = 12 + 2.50x
Change = (Amount given to driver - total charge)
Change = (100 - (12 + 2.50x))
100 - 12 - 2.50x
88 - 2.50x
Someone please help me with this questions
Answer:
Coefficient Is the small 2
A lawn mowing service charges $280 to mow 8 acres and $385 to mow 11 acres. Find the slope in cost per acre.
Answer:
35/1
Step-by-step explanation:
slope = rate of change
dollar amount changed by 105 while acreage changed by 3
105/3 reduced to 35/1
I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!
Answer:
17) x=8
18) [tex]x=\sqrt{189}[/tex] or [tex]x= 3\sqrt{21}[/tex]
Step-by-step explanation:
So the rule is [tex]a^{2} +b^{2} =c^{2}[/tex], "c" being the hypothenuse, or the long line that is opposite to the right angle.
17) We know that both values of x are equal to each other, which makes everything 10x easier!
[tex]x^{2} +x^{2} =(8\sqrt{2}) ^{2}[/tex]
(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)
simplify (╥︣﹏╥)
[tex]2x^2=8^2(\sqrt{2} )^{2}[/tex]
[tex]2x^2=64(2)[/tex]
[tex]2x^2=128[/tex]
[tex]x^{2}= 128/2[/tex]
[tex]x^{2} =64[/tex]
x=8
18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)
Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!
[tex]c^{2} - b^{2} = a^{2}[/tex]
It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!
[tex]15^{2} -6^{2} =x^{2}[/tex]
[tex]225-36=x^{2}[/tex]
[tex]x^{2} =189[/tex]
[tex]x=\sqrt{189}=3\sqrt{21}[/tex]
The more you do these, the easier they'll get, so don't worry!
what is 56/160 in simplest form?
Answer:
7/20
Step-by-step explanation:
Just reduce by dividing by the GCF
Answer:
56/8= 7 160/8=20
Step-by-step explanation:
7/20 is your answer
To the nearest millimeter, a cell phone is 135 mm long and 51 mm wide. What is the ratio of the width to the length?
Answer:
51:135
common factor is 3
51/3 = 17
135/3 = 45
17:45
Simplify 4.2(2x − 0.5y) − 2(4.1x − 0.3y)
The simplified form of the given expression is 0.2x-1.5y.
The given expression is 4.2(2x-0.5y)-2(4.1x-0.3y).
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be solved as follows
4.2(2x-0.5y)-2(4.1x-0.3y)
= 8.4x-2.1y-8.2x+0.6y
= 8.4x- 8.2x-2.1y+0.6y
= 0.2x-1.5y
Therefore, the simplified form of the given expression is 0.2x-1.5y.
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All of the following represent the same function except _____.
y = x - 1
{(0, 1), (2, 3), (4, 5), (7, 8)}
x y
1 0
3 2
5 4
8 7
Answer:
let's take
y=0
when y=0,
y=x-1
therefore,
0=x-1
when we cross -1 the other side it becomes a positive. so when y=0, x=1.
If you were planning a meal for 24 people,
how many dozens
of eggs would you need to buy if each person were to have 2 eggs each?
Answer:
4 dozen.
Step-by-step explanation:
Total number of eggs required =2*24 = 48
One dozen = 12 so the answer is 4 dozen eggs.
The formula 2 equals 18+ B plus he gives the perimeter P of a triangle decide links a B in C a triangular feel has issac measure 45 yards 29 yard and 34 yards with the perimeter of the field the perimeter of the field is?
Answer:
P = 646 yards
Step-by-step explanation:
The sides of a triangular field measure 45 yards 29 yard and 34 yards.
The formula that is used to find the perimeter is given by :
P = 2A+18B+C
Put A = 45, B = 29 and C = 34 to find the perimeter of the field.
P = 2(45)+18(29)+34
= 90 + 522 + 34
= 646 yards
Hence, the perimeter of the field is 646 yards.
Anybody know the answer to these
Answer:
4. b
5. c
6. d
7. c
8. d
Step-by-step explanation:
4. 1/5x-5=2
1/5x=7
x=35
5. 56= 4x+12
44=4x
11=x
6, 7. x+(x+1)+(x+2)=whatever
add the numbers you are provided and find the correct answer
8. the same thing as 6,7 but the formula is x+(x+2)+(x+4)+(x+6)
rectangular television screens width is 29inches its height is 26 inches what is the length diagonal screen nearest whole number
Brian makes $40 per hour tutoring students in music
theory, and Rebecca makes $20 per hour walking
dogs. Last month, Brian worked for 5 fewer hours
than Rebecca did, and they earned a total of $1,300.
How many hours in total did they work at their
part-time jobs?
A) 25
B) 35
C) 45
D) 55
Answer:
55
Step-by-step explanation:
Answer: D.)
Step-by-step explanation:
40*5=200, This is Brians total $'s
1,300-200=1,100, This is Rebeccas total $'s
1,100/20= 55, This is the total hours worked.