1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kay [80]
3 years ago
7

In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0

Answer:

The measurement of EF is 1.98 units

Step-by-step explanation:

In Δ DEF

∵ m∠E = 90°

∴ FD is the hypotenuse of the triangle

∵ m∠D = 26°

∵ EF is opposite to angle D

- We can use the sine ratio to find it

∵ sin D = \frac{EF}{FD} ⇒ (opposite side / hypotenuse)

∵ FD = 4.5 units

∴ sin(26) = \frac{EF}{4.5}

- Multiply both sides by 4.5

∴ 4.5 sin(26) = EF

∵ sin 26° ≈ 0.44

∴ 4.5(0.44) = EF

∴ 1.98 = EF

The measurement of EF is 1.98 units

You might be interested in
What is the result when 3x^3+18x^2+23x-4 is divided by x+4x+4?​
gregori [183]

Answer:

sdaffqwaa2efsadfseffa

Step-by-step explanation:

5 0
3 years ago
Multiply.
prohojiy [21]

Answer:

D. 3x² + 19x - 14

Step-by-step explanation:

Use FOIL to find the answer.

First: x * 3x = 3x²

Outer: -2 * x = -2x

Inner: 3x * 7 = 21x

Last: 7 * -2 = -14

Form the equation:

3x² - 2x + 21x - 14

Combine like terms.

3x² + 19x - 14

8 0
3 years ago
Find the perimeter when 84 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.
gogolik [260]

Answer:

86 cm.

Step-by-step explanation:

If we add  1 more triangle to one in the picture we that:

If we  place 6 triangles together  the perimeter will be  6 + 2 = 6

for 8 triangles the perimeter is 10 .

For 84 the perimeter will be 86 cm.

8 0
3 years ago
Read 2 more answers
Does Anyone Know the Surface Areas of These 2 Triangular Prisms?
zlopas [31]
For 4) S.A = 224.37 cm
5) S.A = 192.74 in
7 0
4 years ago
PLEASE HELP SO I CAN GET THIS OVER WITH!!! WILL GIVE BRAINLIEST!!!!
charle [14.2K]

Her first visit and follow up 60 mins + 30 mins

The limit is 8 follow ups per day

The hospital has 8 hrs available for appointments

Her first visit cost $120 (60 mins) as her follow up was $70 (30 mins)

X = Visits

Y = Follow-ups

And since her first visit and follow up equals to an hour and 30 mins, meaning for it to all add up into the 8 hrs for the appointment, it'll be... 1 hr, 30 mins/ 3 hrs/ 4 hrs, 30 mins/ 6 hrs/ 7 hrs, 30 mins/ <em>9 hrs</em>

Eight hours is the limit so that means it equals to 5 visits and 6 follow ups, due to if you want it to be the whole 8 hours.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x. 12x=20 <br> 140<br>110<br> 10<br> 40
    14·2 answers
  • Jessie works at least 36 hours a week. She works as a math
    9·1 answer
  • Which of the following can you use to find 20 percent of 48?
    7·2 answers
  • A metal rod 9.4 meters long is cut into two pieces.One piece is 3 times as long as the other.Find the length of the longer piece
    15·1 answer
  • Precalc - Polar and Parametric curves. Please help if you know how to do this. THX!!
    15·1 answer
  • Find the center of a circle with the equation: x2+y2−18x−14y+124=0
    7·2 answers
  • How is it even possible to get negative points?
    6·2 answers
  • 1. f(x) = x + 5, f(x) = 9
    9·1 answer
  • Figure pqrst is the image of figure abcde.use the diagram to solve problems 1 and 2
    10·1 answer
  • Is 6 a solution to the equation? Show your work.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!