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
sladkih [1.3K]
3 years ago
7

Please use statement and reason, not sin cos or tan. In rectangle ABCD the diagonals intersect each other at point O and ABD = 3

0. Find BC if AC = 16 in. Include a picture if you can, but you don't have to.
Mathematics
1 answer:
zvonat [6]3 years ago
3 0

Answer:

  • 8 in

Step-by-step explanation:

  • Rectangle has properties:
  • Diagonals are congruent
  • Opposite sides are congruent
  • All angles are right
<h3>Given</h3>
  • m∠ABD = 30°
  • AC = 16 in
  • BC = ?
<h3>Solution</h3>

<u>As per properties mentioned above we have:</u>

  • BC = AD
  • BD = AC = 16 in

ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°

Side opposite to 30 is half of the length of the hypotenuse

<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>

  • AD = 1/2*BD
  • AD = 1/2(16)
  • AD = 8 in

and

  • BC = AD = 8 in
You might be interested in
Solve and graph. c – 10 + 3c -2<br> B. C 3<br> D. C &lt; -2
Radda [10]
I think that since their is no = sign you can’t have just one nimber because you can’t fully simplify... I got 4c-12
7 0
3 years ago
Read 2 more answers
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
lozanna [386]

Answer:

the unknown number of fish is 26

Step-by-step explanation:

I figured this out by subtracting 68 - 47 = x.

x = 26

7 0
3 years ago
Read 2 more answers
Which rule describes the transformation? picture below​
Mekhanik [1.2K]

Answer:

Try D) rotation 180 degrees about the origin.

Step-by-step explanation:

When you look at it, it appears to move 180 degrees about that origin.

Hope this helps! Let me know!

6 0
3 years ago
Determina la masa molar y el volumen que ocupa la siguiente sustancia CO2, si su masa es de 28 gr. *
balandron [24]

Answer:

Para el CO₂ sabemos que:

densidad = 0,001976 g/cm³

Sabemos que:

densidad = masa/volumen

Entonces, si tenemos una masa de 28 g, podemos escribir:

volumen = masa/densidad

volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3

Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.

Carbono: tiene una masa molar de 12 g/mol

Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)

entonces la masa molar va a ser:

masa molar = 12g/mol + 2*16g/mol = 44 g/mol

Es decir, un mol de CO₂, pesa 44 gramos.

7 0
3 years ago
Please help: linear algebra problem. (Linear combinations)
DochEvi [55]

Answer:

\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]

This tells us that:

A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right]

b=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]

Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right].

So we want to find a way to express this as:

Ax=b where x is the scalar vector, \left[\begin{array}{ccc}c\\d\end{array}\right].

So we can write this as:

\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]

3 0
3 years ago
Other questions:
  • Consider the polynomial function f(x)=4x8−6x7+3x3−10.
    8·1 answer
  • What is the measure of each exterior angle of the right triangle?
    7·2 answers
  • Help me with this I was trying to figure this out for half an hour /4rth grade Go math
    12·1 answer
  • What's the sender to 9 and 12
    10·2 answers
  • A goat is tied at one corner of a 12 feet by 16 feet barn. If the rope is 24 feet long, find the area of the region outside the
    12·1 answer
  • Can someone please help me with this!!!
    5·2 answers
  • Which of the following graphs represents the equation above -3x+2y=8
    15·2 answers
  • Use the distributive property to write the following expressions in expanded form. e ( f + g )
    15·1 answer
  • Which of the following numbers is not a perfect square? <br> 49 124 169 361
    14·2 answers
  • A truck rental company charges $35 per day to rent a truck plus $.35 per mile driven. James rented a truck for three days. The t
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!