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
Nataly_w [17]
3 years ago
9

In this diagram, BAC – EDF. If the

Mathematics
1 answer:
puteri [66]3 years ago
6 0
The triangles are congruent. So.

Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.

Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.

This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2

The answer is 6inches^2
You might be interested in
Find the value of "a" such that the slope between the point (-4, 5) and (3, a) is 2/3.
timurjin [86]
A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\the\ slope:m=\dfrac{y_B-y_A}{x_B-x_A}

(-4;\ 5);\ (3;\ a);\ m=\dfrac{2}{3}\\\\subtitute:\\\\\dfrac{a-5}{3-(-4)}=\dfrac{2}{3}\\\\\dfrac{a-5}{7}=\dfrac{2}{3}\ \ \ \ \ |cross\ multiply\\\\3(a-5)=7\cdot2\\\\3a-15=14\ \  \\ |add\ 15\ to\ both\ sides\\\\3a=29\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{a=\frac{29}{3}}
7 0
4 years ago
ally needs to make a cake that hs to be 48 inches long but she already has 1/2 inches done how much more dose she have left to m
FromTheMoon [43]
24. you divide 48 by 2 to get the answer
5 0
3 years ago
Read 2 more answers
At a coffee shop, the first 100 customers'
kogti [31]

Answer:

5%

Step-by-step explanation:

5 + 48 + 22 + 8 + 12 + 5 = 100

5/75 = 0.066667 = 67%

5 0
3 years ago
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
mixer [17]

Given:

|u|=10 at an angle of 45°.

|v|=13 at an angle of 150°.

w=u+v

To find:

Magnitude and direction angle of w.

Solution:

We have,

w=u+v

\theta = 45^\circ, \phi = 150^\circ

Now,

u_x=|u|\cos \theta=10\cos 45^\circ=7.071

u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071

v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833

v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5

Using these information, we get

R_x=u_x+v_x=7.071-11.25833=-4.18733

R_y=u_y+v_y=7.071+6.5=13.571

\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})

\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})

\text{Direction angle}=-72.8239

\text{Direction angle}=107.1476

\text{Direction angle}\approx 107.1

Now,

|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}

|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}

|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}

|w|=14.20236

|w|\approx 14.20236

Therefore, the correct option is D.

4 0
3 years ago
Read 2 more answers
Complete the inequality statement.
vodomira [7]

Answer:

 

Step-by-step explanation:

Ggh

6 0
3 years ago
Other questions:
  • Solve for e <br> 9e-7=7e-11
    14·2 answers
  • A team won 11 of its last 25 games.what percent of its games did the team win?
    5·1 answer
  • Someone plsssssssssssssssss help
    5·2 answers
  • In the product of 3.64 and 0.5, there should be _____ digits to the right of the decimal point.
    12·2 answers
  • Which pair of angles contains complementary angles?
    10·2 answers
  • Function 1 is defined by the equation p=r +7.
    5·1 answer
  • Diego is buying candy by the pound. For every 10 pounds, he pays $23. What is the cost per pound?
    7·1 answer
  • Can someone help me out
    5·1 answer
  • On a farm 14 of the goat are male and 11 of the goat are female what is the percentage
    8·1 answer
  • The liquid base of an ice cream has an initial temperature of 86°C before it is placed in a freezer with a constant temperature
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!