Answers
Answer:
30 ft^2
Step-by-step explanation:
Break the figure into smaller pieces:
5*2=10
10*2=20
Add the areas
20+10=30
The are of the figure is 30 ft^2
Related Questions
How do similar right triangles lead to the definitions of the trig ratios?
Answers
Answer:
The ratio of two sides of one right triangle is the same of the corresponding sides of any its similar triangles. ... Then a/b = A/B, which means that this ratio is a constant. The same for a/c = A/C, and b/c = B/C
Hope it helps
Please mark me as the brainliest
Thank you
We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Similar right triangles can be used to derive the definitions of trigonometric ratios, which are commonly abbreviated as sin, cos, and tan.
Consider a right triangle ABC, where angle A is the right angle.
Let's draw another right triangle ABD where angle A is also the right angle and angle B is congruent to angle D.
We say that triangles ABC and ABD are similar, which means that their corresponding angles are congruent and their corresponding sides are proportional.
Let's label the sides of triangle ABC as follows:
The side opposite angle A is side a (the hypotenuse).
The side opposite angle B is side b.
The side opposite angle C is side c.
We can label the sides of triangle ABD as follows:
The side opposite angle A is side a (the hypotenuse).
The side opposite angle B is side x.
The side opposite angle D is side y.
Since triangles ABC and ABD are similar, we can write the following proportion:
b / a = x / y
Solving for b, we get:
b = (x / y) * a
Now, we can use the Pythagorean theorem to relate the sides of triangle ABC:
a² = b² + c²
Substituting b with its value, we get:
a² = ((x / y) a)² + c²
Simplifying, we get:
a² = (x² / y²) a² + c²
Multiplying both sides by y², we get:
a² x y² = x² a² + c² y²
Now, we can solve for x/y, which is equal to sin(B) and y/a, which is equal to cos(B):
sin(B) = x / y = sqrt(a^2 - c^2) / a
cos(B) = y / a = c / a
Similarly, we can consider another triangle ABE, where angle A is the right angle and angle B is congruent to angle E.
We say that triangles ABC and ABE are also similar.
Let's label the sides of the triangle ABE as follows:
The side opposite angle A is side a (the hypotenuse).
The side opposite angle B is side x.
The side opposite angle E is side z.
Using the Pythagorean theorem for triangle ABC, we get:
a² = b² + c²
Substituting b with its value from triangle ABE, we get:
a² = ((z / x) a)² + c²
Simplifying, we get:
a² = (z² / x²) x a² + c²
Multiplying both sides by x², we get:
a² x² = z² a² + c² x²
Now, we can solve for z/x, which is equal to tan(B):
tan(B) = z / x = √(a² - c²) / c
Therefore,
We have derived the definitions of the three basic trigonometric ratios sin, cos, and tan using similar right triangles.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
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Which is the best description of triangles ABC and DEF?
2 similar triangles labeled ABC and DEF are shown. Side AB is 3 centimeters, side AC is 5 centimeters, and side BC is 2 centimeters. Side DE is 4 point 5 centimeters, side DF is 7 point 5 centimeters, and side EF is 3 centimeters.
A. They are congruent, but not similar.
B. They are similar, but not congruent.
C. They are neither similar nor congruent.
D. They are both similar and congruent.
Answers
Answer:
B. They are similar, but not congruent.
Step-by-step explanation:
The cost to rent a moving van is $8.85 plus an additiona $20.40 per hour. If a moving van is rented for 2 hours, what is the cost?
Answers
Answer:
49.65$
Step-by-step explanation:
(20.40 x 2) + 8.85 = 49.65 $
an evergreen nursery sells a certain shrub
Answers
Pleaseeeeeeeeeeeeeeeeeeee helppppppppppppppp
At the end of Quarter 1, Winston’s math grade was a 72. He made a goal to improve his grade for Quarter 2 by focusing more in class and on homework. At the end of Quarter 2, Winston’s grade increased to an 80.
By what percent did Winston’s grade improve? show your work!
Answers
Answer:
8%
Step-by-step explanation:
The reason why is his grade is 72% right and it increased to 80%.
Subtract 80 from 72 which equals 8.
A car is 120 inches long. A truck is 75% longer than the car. How long is the truck?
Answers
Answer:
I think the truck would be 210 inches long
HELP I HAVE THIS ASSIGHMENT DUE IN 30 MINUTES
Answers
Answer:
C
Step-by-step explanation:
p-2>6
add 2 both sides
p >8
p can only be greater than 8, and not equal to it, so the circle is open
What is the equation of the line that passes through the point (- 1, 5) and is parallel to the line y = - 3x + 5
Answers
Answer:
y - 5 = -3(x + 1)Step-by-step explanation:
Parallel lines has the same slope.
The equation of a line that passing through point (x₁, y₁) with a slope of m is:
y - y₁ = m(x - x₁)
m = -3
(-1, 5) ⇒ x₁ = -1, y₁ = 5
Therefore the equation:
y - 5 = -3(x + 1)
Use the distance formula to find the distance between the points
(-4,-4) and (4, 4).
Answers
Answer:
[tex]\displaystyle d = 8\sqrt{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -4)
Point (4, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(4+4)^2+(4+4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(8)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{64+64}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{128}[/tex][Distance] [√Radical] Simplify: [tex]\displaystyle d = 8\sqrt{2}[/tex]Jordan wants to play a basketball game at a carnival. The game costs the player $ 5 $5dollar sign, 5 to play, and the player gets to take two long-distance shots. If they miss both shots, they get nothing. If they make one shot, they get their $ 5 $5dollar sign, 5 back. If they make both shots, they get $ 10 $10dollar sign, 10 back. Jordan has a 40 % 40%40, percent chance of making this type of shot. Here is the probability distribution of X = X=X, equals the number of shots Jordan makes in a randomly selected game, and M = M=M, equals the amount of money Jordan gains from playing the game. X = # of shots made X=# of shots madeX, equals, \#, start text, space, o, f, space, s, h, o, t, s, space, m, a, d, e, end text 0 00 1 11 2 22 M = money gained M=money gainedM, equals, start text, m, o, n, e, y, space, g, a, i, n, e, d, end text − $ 5 −$5minus, dollar sign, 5 $ 0 $0dollar sign, 0 $ 5 $5dollar sign, 5 Probability 0.36 0.360, point, 36 0.48 0.480, point, 48 0.16 0.160, point, 16 Calculate the mean of X XX. μ X = μ X =mu, start subscript, X, end subscript, equals shots made
Answers
The mean is the average of the numbers divided by the total number of variables, and the further calculation can be defined as follows:
Calculating the Mean of X:
[tex]= \sum X \times p(X)[/tex]
[tex]= 0\times 0.36 + 1 \times 0.48 + 2 \times 0.16\\\\= 0 + 0.48 + 0.32\\\\=0.80\\\\[/tex]
Therefore, the final answer is "0.8".
Learn more:
brainly.com/question/9087018
Answer:
-1 dollars
Step-by-step explanation:
Susan walked a total of 8 kilometers by making 4 trips to school. How many trips will Susan have to make in all to walk a total of 10 kilometers? Assume the relationship is directly proportional.
Answers
Answer:
6 trips in total..,.............
Answer:
5
Step-by-step explanation:
HELP ASAP WILL GIVE BRAINLYIST IF RIGHT AND EXTRA POINTS
List the simple shapes and to which you divided shape c and Measure their signs right all the measurements in inches
Answers
What is the slope of 4,17 and 1,8
Answers
Answer:
Slope (m)= 3
Step-by-step explanation:
m= (Y2-Y1)/(X2-X1)
m= (17-8)/(4-1)
m= 9/3
m=3
t/3+9=12 ?? no clue how to do
Answers
Answer:
t = 9
Step-by-step explanation:
t/3 = 12 - 9
t = 3 * 3
t = 9
Answer:
t=9
Step-by-step explanation:
t/3+9=12
t/3+9-9=12-9
t/3= 3
3xt/3 = 3x3
t=9
If a person in a wheelchair wanted to get to the second story of a two-story building, would it be easier to take a short, steep ramp or a long, shallow ramp?
Answers
Answer:
the long one because of the friction and you can gain speed the second way
Step-by-step explanation:
can someone help me please ❤️
Answers
Answer:314
Step-by-step explanation:
V=pi r squared
V= 3.14x10 squared
10 squared= 100
V=3.14x 100
V= 314
Sasha makes $5.00 an hour. She needs to make $150 dollars. She
can use this equation to find the number of hours, h, that she needs
to work to earn $150.00.
Answers
Answer:
5h = $150
Step-by-step explanation:
Answer:
150 = 5h
Step-by-step explanation:
h = amount of hours
solve to find amount of hours she needs to work to earn $150
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156
Answers
Answer:
150
Step-by-step explanation:
Kenny went shopping with Ali and purchased an iPhone that was on sale for 10% off. If he paid $270, what was the original price?
Answers
Answer:
$2700
Step-by-step explanation:
What is -3/11 divided by -5/6
Answers
Answer:
0.00909090909
Step-by-step explanation:
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
Answers
Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
Write the quadratic equation whose roots are −6 and 3, and whose leading coefficient is 4.
(Use the letter x to represent the variable.)
Answers
Answer:
y= 4(x+6)(x-3)
Step-by-step explanation:
same as before :)
Which expression has a value less than 5 ?
O A. 5 +8
O B. –9 + 5
O C. 1+(-8)
O D. 7+ (-2)
Answers
Answer:
es la a. 5+8 es esa amigo la respuesta
The average response time to a bank robbery is about 9 min. A local community wants to improve on this time, so they implement advanced training seminars. They find that the new response time for a sample of 36 police officers is 8+4.2 (M SD) min. Test whether this advanced training seminar reduced response time at a.05 level of significance. A. This advanced training seminar significantly reduced response time, t(35) 11.43,p <.05 B. This advanced training seminar significantly reduced response time, (35)1.43, p < .05 C. This advanced training seminar did not reduce response time, t(35)--1.43, p> .05. D. There is not enough information to answer this question.
Answers
Answer:
The correct option is;
C. This advanced training seminar did not reduce response time, t(35) = -1.43, p > 0.05
Step-by-step explanation:
The given parameters are;
The population mean response time, μ = 9 minutes
The number of police officers in the sample, n = 36
The mean response time after the training, [tex]\overline x[/tex] = 8 minutes
The standard deviation of the response time after the training, s = 4.2 minutes
The level of significance, α = 0.05
The null hypothesis; μ ≥ 9
The alternative hypothesis; μ < 9
The test statistic for the t-test is [tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex], therefore, we get;
[tex]t=\dfrac{8-9 }{\dfrac{4.2}{\sqrt{36}}} \approx -1.42857142857[/tex]
The degrees of freedom, df = n - 1 = 36 - 1 = 35
The critical-t at 0.05 level of significance is critical-t = 1.69, p(t < -1.43) > 0.05
and, we fail to reject the null hypothesis, therefore, the advanced training did not reduce the response time
44 * 9678 I will mark brainliest
Answers
Answer:
=425832
Step-by-step explanation:
i hope this helps :)
Answer:
425832
Step-by-step explanation:
I was trying as well gg
please help thank youuuuu
Answers
Answer:
Y=3x-1
Step-by-step explanation:
Let x =1 then ,Y=(3×1)-1=2
Let x=2 then, Y=(3×2)-1=5
Let x=3 then Y=(3×3)-1=8
Let x=0 then Y=(3×0)-1=-1
Where my marvel gang at tho?
Answers
Answer:
DC where it at chief, not starting nun just my opinion have a good day
Step-by-step explanation:
here queen/king
yeah I'll do you one better who's Gamora
Dumisani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?
Answers
Answer:
R17700
Step-by-step explanation:
Dumsani earns R42480 per month. He splits his earnings in the ratio 7:5 and then saves the lesser amount. How much does he save?
First step
We are given the ratio 7:5
The sum of the proportion = 7 + 5 = 12
We are told that he saves the lesser amount
The lesser ratio = 5
Therefore, the amount he saves is
= 5/12 × R42480
= 5 × 3540
= R17700
Therefore, he saves R17700
Simplify Complex fraction
1/4 +x
___________= what
1/2
Answers
Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.
(1) Convert mixed numbers to improper fractions.
(2) Reduce all fractions when possible.
(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.
(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.
Hope this helps! <3
2b +4= -8
29 - 6 = 4
3s – 4= 8
can some one pls help me with these 3 question pls
Answers
Answer: 2b+4=-8 the answer is -6
Step-by-step explanation: I got this because you subtract 4 from both side which subtract 4 from 4 and subtract -8 from -4 you add those two up because they are both negative which you got -12 so your equation right now is 2b=-12 after that you divide 2 from 2b from both side and your answer is -6. I hope I helped with that one problem