A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
Answers
Answer:
24 units
Step-by-step explanation:
From the description:
angle D measures a degreesopposite to angle D is side EFside DE (which measures 30 units) is the hypotenuse of the triangle.We also know that
sin(a) = 4/5
From definition:
sin(a) = opposite/hypotenuse
Replacing:
4/5 = EF/DE
EF = (4/5)*DE
EF = (4/5)*30 = 24 units
The length of the segment EF of the triangle DEF is 24 units.
Procedure - Determination of the resulting length after dilating a triangle by a scale factorIn the image attached below we summarize the triangle described in statement, by trigonometric relationship we find that the length of the segment EF is described by the following expression:
[tex]\sin a^{\circ} = \frac{EF}{DE}[/tex] (1)
If we know that [tex]DE = 30[/tex] and [tex]\sin a^{\circ} = \frac{4}{5}[/tex], then the length of the segment EF is:
[tex]EF = DE\cdot \sin a^{\circ}[/tex]
[tex]EF = 30\cdot \left(\frac{4}{5} \right)[/tex]
[tex]EF = 24[/tex]
The length of the segment EF of the triangle DEF is 24 units. [tex]\blacksquare[/tex]
To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/7894175
Related Questions
circle is centered at (4,-6) and has a radius of 8. What is the equation of the circle?
Question 3 options:
a) (x−4)2+(y+6)2=64
b) (x+4)2+(y−6)2=16
c) (x+4)2+(y−6)2=64
d) (x−4)2+(y+6)2=16
Answers
Find the complete factored form of the
polynomial:
6xy - 8x2
Answers
Answer:
2x(3y-4x)
Step-by-step explanation:
6xy - 8x^2
Factor out the greatest common factor of 2x
2x*3y -2x*4x
2x(3y-4x)
You are building a gazebo for your mom; you want it to look like the picture below.
a. Using geometry, name which quadrilaterals you see in the picture.
b. What type of quadrilateral is each side of the roof (see inset)?
c. What specific type must it be in order for each side of the roof to fit properly?
d. What is the length of the opposite leg on the side of the roof?
e. What measure is the other base angle?
f. What is the measure of the opposite angles?
Answers
Answer:
a. 1. Trapezoid
2. Rectangle
b. Trapezoid
c. Isosceles trapezoid
d. 6 feet
e. 65°
f. 115°
Step-by-step explanation:
a. The observed quadrilaterals are;
1. Trapezoid
2. Rectangle
b. Trapezoid
c. Isosceles trapezoid
d. Whereby we have an isosceles trapezoid, the leg lengths are equal. therefore since one of the leg lengths = 6 feet, the other opposite leg on the side of the roof = 6 feet
e. The base angles of an isosceles triangle are equal, therefore, the other base angle is equal to the labelled base angle or 65°
f. The sum of the opposite angles in an isosceles trapezoid = 180°
∴ 65° + Opposite angle = 180°
Opposite angle = 180° - 65° = 115°.
Help Plz
A rectangular swimming pool is 19 meters long, 10 1/2 meters wide, and 5 1/2 meters deep. What is its volume?
Answers
Answer:
The volume is 1097.25 meters cubed.
Step-by-step explanation:
Answer:
Hello There. The correct answer 1,410.75 is you need to find the volume of length x width x height. Then multiply of the numbers what i just put there.
19m× 13.5m× 5.5m= 1,410.75 meters.
Hope It Helps! .ω.
ItsNobodyPLEASE URGENT: 30 POINTS GIVEN
Jen wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simple interest. They lend her $5000 for 6 years. She makes no payments except the one at the end of that time.
Answer the following questions. If necessary, refer to the list of financial formulas.
(a) How much total interest will Jen have to pay?
$
(b) What will the total repayment amount be (including interest)?
$
Answers
If they lend her 5000 for 6 years, and the annual interest is 4%, you would get 24% total interest
A) 1200
For B, you add the 5000 to the interest.
B) 6200
Answer:
6200 i think
Step-by-step explanation:
Selma jogged through a park near her house the trial is a loop that is 3/4 of a mile long Selma ran the loop in 1/6 Of an hour what is Selma unit rate in miles per hour
Answers
Answer:
3/4=L
1/6= T
V=3/4, 1/6= 18/4
18/4= 4.5
Selma's unit rate in miles per hiur
Step-by-step explanation:
PLEASE HELPPPP ! to maintain her income susan must work 50 hours each week susan works 7 hrs on monday tuesday and wednesday and 8 hrs on thursday if the variable t stands for the number of hrs over the rest of the week susan will have to work to meet her goal her goal which of the following choices is the most reasonable value for t . A weeks B dollars C jobs D hours PLEASE HELPPPPPP MEEEEE
Answers
Answer:
D
Step-by-step explanation:
We need to know how many hours left she needs to work, not how many weeks because it is for one week. It is not money because her requirment is not about how much money you make per week. It is also not jobs because in the requirements, there is nothing that talks about jobs.
* PLEASE ANSWER , LOOK AT ATTACHMENTS *
Answers
Answer:
the second option its 16
A glass vase factory recently produced 3 vases that were chipped and 12 vases that were not. What is the experimental probability that the next vase will be chipped?
Write your answer as a fraction or whole number.
Answers
Answer:
3/15 or 1/5 or 20%
Step-by-step explanation:
3+12=15 which is the total number of vases. 3 out of 15 vases were chipped so the probability that the next vase will be chipped is 3/15 or 1/5 or 20%.
The radius of a circle is 3 in. Find its area to the nearest tenth.
Answers
Answer:
28.27 in²
Step-by-step explanation:
A= π r² = π · 3² ≈ 28.27433in²
rounded: 28.27in²
hope this helped!
Steps:
Shape: Circle
Solved for area
Radius: 3 in
Formula: A=πr2
Description:
Using the formula for the area A=πr2. We calculate the area of a circle. Your answer will come as A≈28.27in² after calculating. Round it up to the nearest tenth = 28.27. So it will be the same number when you round it.
Answer: A≈28.27in²
Nearest tenth = 28.27
Please mark brainliest
Hope this helps.
value of -8/13*26/-3 is
Answers
Answer:
5 1/3
Step-by-step explanation:
-8/13*26/-3
A negative times a negative is positive
Rewriting
8/3 *26/13
8/3 * 2/1
16/3
5 1/3
Answer:
[tex] = \frac{16}{3} = 5 \frac{1}{3} \\ [/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( - ) = ( + )[/tex]
Let's solve now
[tex] - \frac{8}{13} \times - \frac{26}{3} \\ = \frac{208}{39} \\ = \frac{16}{3} = 5 \frac{1}{3} [/tex]
The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of r?
х
O 392nt in
O 408rt in
0 112r in
O 117rt in
Answers
Answer:
Hi there!
The correct answer is: 408r in
Step-by-step explanation:
The formula for the volume of the cone is: V = [tex]\frac{1}{3}[/tex]π[tex]r^{2} h[/tex]
where h stands for height, in this case it's y=25
r stands for radius, in this case it's 7 in
when it says leave in terms of "r" it simply means don't multiply the π in
Answer:
392nt in
Step-by-step explanation:
PLS HELP ASP HURRY BEST GETS BRAINLESST AND FOLLOW
Answers
Answer:
4.07g= 4070mg
9kg= 9000g
Step-by-step explanation:
Thank me later
Hope this helps!!!
f(x) = 3x
g(x) = x2 – 5x - 9
Find (fºg)(x).
Answers
Answer:
[tex] \boxed{(f.g)(x) = 3 {x}^{3} - 15 {x}^{2} - 27x} [/tex]
Given:
[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]
To Find:
[tex] (f.g)(x) = f(x) \times g(x)[/tex]
Step-by-step explanation:
[tex]= > f(x) \times g(x) = (3x)( {x}^{2} - 5x - 9) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x \times {x}^{2} ) - (3x \times 5x) - (3x \times 9)\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 {x}^{3} - 15 {x}^{2} - 27x[/tex]
PLZ HELP WILL GIVE BRAINLIEST AND 80 POINTS
a.) Draw a rectangular prism with these dimensions: 3 units x 9 units x 27 units.
b.) Draw a net of the rectangular prism and label each face with its surface area.
c.) Use the net of the rectangular prism to find the surface area of the solid.
Answers
Answer:
check attached image :)
Step-by-step explanation:
Please help me with my algebra.
Answers
Answer:
it is B
Step-by-step explanation:
the answer is B you have to start wit rearrange the equations
A line has an c intercept of 3 and a y intercept of negative 6. What is the slope intercept form of it’s equation
y=2x+3
y=2x-6
y=-2x+3
y=-2x-6
Answers
Answer:
y = 2x - 6
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
The y-intercept is already given and is -6.
By c intercept, I am assuming you meant x-intercept. With an x-intercept of 3, the point is (3,0). With a y-intercept of -6, the point is (0,-6).
Use the two points to find the slope using the following equation.
[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]
Plug the points into their respective positions and solve.
[tex]m=\frac{-6-0}{0-3}\\ m=\frac{-6}{-3} \\m=2[/tex]
The slope is 2.
Your equation is y = 2x - 6.
What is the value of f(4), if f(x) = 2x - 16?
Answers
Besides phone numbers, what are the other categorical variables in your survey? (The survey asks for family size, the kind of pets they have, the grade of the youngest child in the family, the family's annual income in dollars, what the dad does for a living, whether the mom works, and their phone number.)
A.
Everything but annual income
B.
Grade of youngest child, dad's occupation, whether mom works, and kind of pets
C.
Family size, dad's occupation, whether mom works, and kind of pets
D.
Everything but family size
E.
Dad's occupation, whether mom works, and kind of pets
Answers
Answer:
I believe it would be C.
Step-by-step explanation:
Answer:
Grade of Youngest child, dad's occupation, whether mom works, and kinds of pets
Step-by-step explanation:
Which one is correct
Answers
Answer:
D
Step-by-step explanation:
The seven should be on the outside because it is on the denominator
PLS HELP ASAP PLSsss
Answers
Answer:
side c i think
Step-by-step explanation:
Brendan ran a total of 8 miles over the course of 4 track practices.
How many track practices would it take for Brendan to run 10 miles? Solve using unit rates.
Answers
Answer:
5 track practices
Step-by-step explanation:
So if he ran 8 miles in 4 track practices, he ran 2 miles in each.
So it would take 5 track practices to do it.
Write the slope intercept form Through:(5,-3) and (0,0)
Answers
Answer:
[tex]y=-\frac{3}{5}x[/tex]
what is the point slope form of a line with slope -3 that contains the point (2,-2)
Answers
Answer:
y+2 = -3(x-2)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -2 = -3( x-2)
y+2 = -3(x-2)
Answer:
Y=-3x+4
Step-by-step explanation:
Please graphing and all I did was input the coordinates into the Y=mx+b form, got the b and filled in everything else. Hope this helps!
Purchasing an item costing (x) amount before a 6.5% tax could be represented by which of the following?
A. x - 0.065x
B. x + 0.065x
C. 0.935x
D. 1.065x
E. Both A & C
F. Both B & D
will mark BRAINLIEST
Answers
Find the area of the composite shape
Answers
Answer:
[tex]13.735[/tex] [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of a circle.
[tex]A=\pi r^{2}[/tex]
[tex]r=d/2\\r=8/2\\r=4[/tex]
[tex]A=\pi \times 4^{2}[/tex]
[tex]A=16\pi[/tex]
[tex]A \approx 50.2654824574[/tex]
Area of a square.
[tex]A=s^{2}[/tex]
[tex]A=8^{2}[/tex]
[tex]A=64[/tex]
Subtract the area of the square with the area of the circle.
[tex]64-50.2654824574[/tex]
[tex]= 13.7345175426[/tex]
I hope it helps.
Brainliest much appreciated.
Cell phone Company ABC charges a $12 start-up fee plus $0.08 per minute, x/ Cell phone Company WYZ charges $0.20 per minute, x, with no start-up fee. Which function represents the difference in cost between Company ABC and Company WYZ?
Answers
Answer:
difference of cost between two company = 12 - 0.12 x
Step-by-step explanation:
For company ABC
start up fee = $12
cost of one minute call = $0.08
if x minute call are done then cost of x call = 0.08*x = 0.08x
total cost incurred in company ABC= startup fee+ cost of x minute call = 12+0.08X
___________________________________________________
For company WYZ
start up fee = 0
cost of one minute call = $0.20
if x minute call are done then cost of x call = 0.20*x = 0.20x
total cost incurred in company WYZ plan = startup fee+ cost of x minute call = 0+0.20x = 0.20x
______________________________________________
difference of cost between two company = 12+0.08x - 0.20x
difference of cost between two company = 12 - 0.12x (Answer)
Kelly has 2 liters of milk in the refrigerator. she used 1/2 liter of milk in the morning with breakfast. she then use the same quantities of milk at both lunch and dinner, such that she used up all the milk. what quantity of milk does she use at dinner?
Answers
Answer:
3/4 liter
Step-by-step explanation:
Kelly starts at 2 liters, then uses 1/2 liter in the morning, so we have 1 1/2 liters. Then, the rest is used for lunch and dinner, and both being the same amount, she used 3/4 liter of milk for dinner.
3/4 litres of milk used by her at dinner.
How to elaborate the problem ?
Kelly has 2 litres of milk in her refrigerator.
She used 1/2 litres of milk with the breakfast in morning.
Remaining milk in her refrigerator = (2- 1/2) litres = 3/2 litres
What is the quantity of milk she use at dinner ?By the problem, She use the same quantities of milk at both lunch and dinner.
So, She use half of the remaining milk at dinner.
∴ The quantity of milk used by her at dinner = 1/2 of 3/2 litres
= (1/2 × 3/2) litres
= 3/4 litres
Learn more about milk measure problem here :
https://brainly.com/question/210119
#SPJ2
Which statement is true
Answers
It would be the first one
Step-by-step explanation:
Explanation
You roll two standard number cubes, each with sides labeled 1 - 6. What is the probability you roll a sum of 6?
A)0.11
B)0.14
C)0.17
D)0.42
Answers
Answer:
The answer is c
Step-by-step explanation:
I've had this question on a test
