In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?
Answers
Step-by-step explanation:
✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]
AD = 15 , AB = 8 , [tex] \angle[/tex] DAB✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]
Height & Area of the given parallelogram✰ [tex] \underline{ \underline{ \large{ \tt{S \: O
\: L \: U \: T\: I\: O \: N}}}} : [/tex]
In right angled triangle ABE :
Hypotenuse ( h ) = 8Perpendicular ( p ) = h [ height ][tex] \theta[/tex] = 20°Now , Using trigonometric ratio :
[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]
Plug the known values :
⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]
⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]
⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]
⟶ [tex] \large{ \tt{h = 2.72}}[/tex]
Now , We have :
Base ( b ) = 15Height ( h ) = 2.72Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :
❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]
⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]
⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]
Hence , Our final answer :
[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]
[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Related Questions
plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
for 7 its r and u and r and s. and for 8 its all.
Step-by-step explanation:
cathe scores 15 points fewer than charles who scores 35 points. Karla scores half as many poinst as Cathe. How many points does charles score?
Answers
Answer:
Your answer is.....
Cathe score = 20 points
Charles score = 35 points
Karla score = 10 points And
I score = 5 points
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
Find the surface area of the square pyramid shown below.
3
4
units
Pls help ASAP if you can
Answers
Answer:
Step-by-step explanation:
area of a triangular face = 0.5×4×3 = 6 square units
lateral area = area of 4 triangular faces = 4×6 = 24 square units
base area = 4² = 16 square units
total surface area = lateral area + base area = 24+16 = 40 square units
Answer:
40
Step-by-step explanation:
40
Find the average rate of change please
Answers
Answer:
The Average rate of change of function f(x)
A(x) = 3
Step-by-step explanation:
Step(i):-
Given function f(x) = x²-2
Given values x = a = -1 and x = b =4
The Average rate of change of function f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given function f(x) = x²-2
f(a) =f(-1) = (-1)²-2 = 1-2 = -1
f(b) = f(4) = (4)²-2 = 16-2 = 14
Step(ii):-
The Average rate of change of function f(x)
[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]A(x) = \frac{14-(-1)}{4-(-1)} = \frac{14+1}{4+1} = \frac{15}{5} =3[/tex]
Final answer:-
The Average rate of change of function f(x)
A(x) = 3
3(n – 1) = 6
How do I solve this equation?
Answers
Answer:
n=3
Step-by-step explanation:
distribute, then add 3 to both sides, then divide both sides by 3
Answer:
n = 3
Step-by-step explanation:
3(n−1)=6
Step 1: Simplify both sides of the equation.
3(n−1)=6
(3)(n)+(3)(−1)=6(Distribute)
3n+−3=6
3n−3=6
Step 2: Add 3 to both sides.
3n−3+3=6+3
3n=9
Step 3: Divide both sides by 3.
3n/3 = 9/3\
n= 3
Brady is conducting an experiment using a spinner with four different colors: red, orange, blue, and green. He spun the spinner 40 times and recorded the following data.
Based on the data in the table, if Brady spins the spinner 240 times, he predicts the spinner will land on red roughly A. 48, B. 24, C. 12, D. 36 times. He also predicts the spinner will land on green roughly A. 108, B. 72, C. 48, D. 36
more times than it will land on red.
Answers
Answer:
out of 240, the prediction of landing on Red would be 36
out of 240, the prediction of landing on Green would be 108
Step-by-step explanation:
out of 240, the prediction of landing on Red would be 36 because:
240 x 0.15 = 36
out of 240, the prediction of landing on Green would be 108 because:
240 x 0.45 = 108
Gwen read the first 15 pages of a book in a bookstore and decided to buy it. Since she bought it, she has been reading 30 pages per day. For which of these functions does y represent the total number of pages Gwen has read if x represents the number of days since she bought the book?
A. x = 15y + 30
b. x = 30y + 15
c. y = 15x +30
d. y = 30x +15
Answers
the answer is d. y=30x+15
BRAILIEST for correct answer!! Pls help
What's the slope of a line that passes through (−12,15) and (0,4)?
Answers
Answer:
-11/12
Step-by-step explanation:
slope for points (x1,y1) and (x2,y2)
slope=(y2-y1)/(x2-x1)
(x,y)
(-12,15)
(0,4)
x1=-12
y1=15
x2=0
y2=4
slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12
Answer:
Slope: -11/12x
Step-by-step explanation:
Slope-intercept equation:
y = mx + b
(m = slope)
The formula for slope is below.
m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
With your two points, you can accurately determine your slope.
(-12, 15) (0,4)
x1 = -12
y1 = 15
x2 = 0
y2 = 4
Apply this information in the slope formula to get:
[tex]\frac{4 - 15}{0 - -12}[/tex]
Change the 0 - -12 to 0 + 12
[tex]\frac{4 - 15}{0 + 12}[/tex]
4 - 15 = -11
0 + 12 = 12
Place -11 and 12 into a fraction.
[tex]\frac{-11}{12}[/tex] OR -11/12
Add "x" to the end from "mx" within the slope-intercept equation
-11/12x
Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game
Answers
(-80 divided by -5)
Solve 1\ 7 + 1 \2= Show all your steps and don't get the answers from goo.gle.
and if it is not about the question four the answer I will report and no branlest
Answers
Answer:
[tex]\frac{9}{14}[/tex] = 0.642857143
Step-by-step explanation:
[tex]\frac{1}{7}+\frac{1}{2}[/tex]
Least common multiple of 7 and 2 is 14. Convert [tex]\frac{1}{7} and \frac{1}{2}[/tex] to fractions with denominator 14.
[tex]\frac{2}{14} + \frac{7}{14}[/tex]
Since [tex]\frac{2}{14} + \frac{7}{14}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{2+7}{14}[/tex]
Add 2 and 7 to get 9.
[tex]\frac{9}{14}[/tex]
Solve the equation 2x + 4 - 9 Explain the steps
and properties you used.
Answers
Answer:
2x - 5
Step-by-step explanation:
2x + 4 - 9
the 2x gonna stay
so you take 4 - 9 = -5
so the answers gonna be 2x - 5
bc the 5 is negative so you gonna subtract
I hope you understand my english...
✨6 Grade Math✨ PLEASE HELP I RLLY DONT GET IT
Answers
Answer:
a. 12s + 19j - 3
36 + 28 - 3 = 61
b.
Shirt (per unit cost):
Before Discount: $12
After Discount: $12 - $3 = $9
Jeans (pair cost):
Before Discount: $19
After Discount: $19 - $3 = $16
(12-3)s + (19-3)j
27 + 32 = $59
HALP!! DUE IN 10 MINUTES!!
Find k if the line y = kx-5 passes through the point (-6,14)
Answers
Answer:
-3 1/6
Step-by-step explanation:
14 = -6k - 5
6k = -19
k = -19/6 = -3 1/6
9 hours to 2 days what is the ratio
Answers
Answer:
3:16
Step-by-step explanation:
2 days = 48 hours
9:48 = 3:16
Which of the following expressions are equivalent to -9/j?
A: 9/-j
B: - -9/j
C: none of the above
Answers
Answer:
A
Step-by-step explanation:
-9/j is the same as 9/-j
Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55
Answers
Answer:
6.82.26v375 is the descreasing order
Answer:
it is c, 6.82 2pi 55/9 sq37
Step-by-step explanation:
plz help ASAP!!!!!!!!
Answers
Answer:
The answer is 95.03
Step-by-step explanation
The formula that I used
A=πr^2
Area = π·5.5^2 ≈ 95.03318
Hope that helps :)
If the probability of having rain tomorrow is 60%, what is the probability of not having rain tomorrow?
Answers
Answer:
40%
Explanation 100-60=40
A toy robot and it’s pet robot together weigh 204 kg. Four times the weight of the pet robot is 4 kg less then the weight of the toy robot. How much does each toy robot weigh?
Answers
0.51 x 40 = (0.5 + 0.01) x 40 =
Answers
Answer:
hello! :) have a good day!
20.4
On average, a person spends $240 every 3 months on their cellphone bill . What would the price for 1 month. How much would this person pay over the course of 1 year?
Answers
Answer:
$960
Step-by-step explanation:
price of one month = total expense/ number of month
= 240/3= $80
therefore persons annual expenses = 80*12= $960
I need helppp picture is provided
Answers
A
Because it is 6.16
What is 7a - 9> 2 (4a + 1)
Answers
Answer:
a<-11
Step-by-step explanation:
In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Give your answer as a decimal to 4 places.
Answers
Answer:
0.9744 probability that AT LEAST ONE of them has been vaccinated
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the people have been vaccinated.
This means that [tex]p = 0.6[/tex]
If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
This is
[tex]P(X \geq 1)[/tex] when [tex]n = 4[/tex].
We have that
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744[/tex]
0.9744 probability that AT LEAST ONE of them has been vaccinated
Which three side lengths best describe the triangle in the diagram
Answers
Answer:
its 6 cm, 8cm, and 10 cm
Step-by-step explanation:
i just took the quiz
The majority of states have:
A.no income tax
B.a flat income tax
C.a progression income tax
D. a gross income tax
Answers
Option. C is correct. A progression Income tax.
What is income tax?Income tax is a type of tax that the central Government charges on the Income earned during financial year by the individuals and the Businesses.
The majority of states have a progression Income tax.
hence, the majority of state have a progression of Income tax.
To learn more about Income tax here
https://brainly.com/question/24287103
#SPJ2
Answer:
(C)- Progressive income tax.
whats 5+3+8+9+10+50+100
Answers
Answer:
185 is the answer
Step-by-step explanation:
your answer is 185
Answer:
Hello! :) have a good day!
5+3+8+9+10+50+100=185
49 +
6. Luisa bought 23 pounds of apples,
3 pounds of oranges, and 14 pound
of pears. How many pounds of fruit
did she buy in all?
Answers
Answer:
23+3+14=40
Step-by-step explanation:
brainliest pls?
50 pounds to be exact
Find tan e
53
45
8
28
A. B.
Ο Ο
D.
< PREVIOUS
Answers
TAN: 45/28
SIN: 45/53
COS: 28/53
sin(x°) = opposite/hypotenuse
cos(x°) = adjacent/hypotenuse
tan(x°) = opposite/adjacent
x is any degree measure.
Hence option C (45/28) is correct
What are trigonometric rations?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.
How to solve ?
Given θ
∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]
=45/28
= option c
Hence option C (45/28) is correct
Learn more about trigonometric rationshttps://brainly.com/question/24349828
#SPJ2
NEED HELP ASAP !!! Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (b) Which class earned more money? (c) How much more money did that class earn?
Answers
Answer:
Mr. Kelly's class old more and 11.455 more then the other class
Step-by-step explanation:
i used a calutor
Some one already answered this, heres the link to the answer:
brainly.com/question/19662350?referrer=searchResults&exp=25-1
