If ∠P measures 27°, ∠R measures 135°, and r equals 9.5, then which length can be found using the Law of Sines?

p
r
PQ
PR

Given:

In right triangle ABC, BD is the altitude drawn to hypotenuse AC.

[tex]AD=20, DC=45[/tex]

To find:

The length of BD.

Solution:

According to geometric mean theorem of triangles, if an altitude is drawn to the hypotenuse of a triangle, then the altitude is the geometric mean of the segments of the hypotenuse.

Using geometric mean theorem of triangles, we get

[tex]BD^2=AD\times DC[/tex]

[tex]x^2=20\times 45[/tex]

[tex]x^2=900[/tex]

Taking square root on both sides, we get

[tex]x=\dfrac{900}[/tex]

[tex]x=30[/tex]

Therefore, the length of BD is 30 units and the correct option is C.

Answer:

y = 4x^2

Hope that this helps!

Answer:

1.31(2.80)^x

Step-by-step explanation:

Given the data :

x : 1 2 3 4 5 6

y : 4 9 27 90 250 580

Using technology, the exponential regression data obtained by fitting the data is :

y = 1.31(2.80)^x

Where, y = predicted value

1.31 = Initial value

2.80 = growth fractor

x = period

Answer:

1.31(2.80)^x

trust me i just did the cst

Step-by-step explanation:

Answer:

[tex]{ \bf{r(t) = 7e {}^{0.6t} }} \\ { \tt{r(2) = 7 {e}^{0.6 \times 2} }} \\ = { \tt{7 {e}^{1.2} }} \\ = 23.241 \: thiusand bacteria \: per \: hour[/tex]

Answer:

D

Step-by-step explanation:

Each dot is 1/4 and we are going from 0 to -2

Answer:

A

Step-by-step explanation:

Answer:

c. -oo < x < -1

Step-by-step explanation:

according to the graph the function possitive

=> y > 0 , and x < -1

Answer:

Yes they can type about 130 each minute

Step-by-step explanation:

I learned this in a book

Answer:

the person can type

80 wpm

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships.

  Sin = Opposite/Hypotenuse   ⇒   sin(B) = 12/13

  Cos = Adjacent/Hypotenuse   ⇒   cos(B) = 5/13

  Tan = Opposite/Adjacent   ⇒   tan(B) = 12/5

Answer:

D 189,000

Step-by-step explanation:

Answer:

[tex]s\geq 36[/tex]

Step-by-step explanation:

Step 1, how many knives to buy?

The restaurant already has 262 knives. We can subtract this number from their needed 694 knives to find how many they still need:

[tex]694-262=432[/tex] knives.

Step 2, how many sets of knives?

The restaurant needs to buy 432 knives. We know the knives come in sets of 12, so we can divide to find the # of packs she needs to buy, determined by variable s.

Notice how the restaurant needs to buy a minimum of 694 knives, hence we use a greater or equal than symbol:

[tex]\fbox{\frac{432}{12} \geq s}\\[/tex][tex]s\geq \frac{432}{12}[/tex]

[tex]s\geq 36[/tex]

I hope this helps! Let me know if you have any questions :)

The inequality that can be used to determine s, the minimum number of sets of knives Savannah should buy is 694 ≥ 262 + 12s.

Given that;

The restaurant needs at least 694 knives. There are currently 262 knives.

Here, each set on sale contains 12 knives.

Let us assume that;

The minimum number of sets of knives Savannah should buy = s

Hence the inequality for the given condition is,

694 ≥ 262 + 12s

To learn more about inequality visit:

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Answer:

the answer would be log 2

Answer: Fran's speed while swimming​ upstream = 1.4 km/h

Step-by-step explanation:

Given: Fran's swimming speed = 2.1 ​km/h

Speed of river = 0.7 km/h

The direction against the stream is called upstream.

Speed in Upstream = Fran's swimming speed - Speed of river

= 2.1-0.7  km/h

= 1.4 km/h

hence, Fran's speed while swimming​ upstream = 1.4 km/h

Answer:

K

K -> H

H

B -> ~H

H not B (sorry I couldn't type out the symbol)

~B

Step-by-step explanation:

Verbally, what's happening is this:

We have an assertion of K. Since K -> H (K implicates H), and B -> ~H (B implicates a negation of H), a negation of B (~B) is proven. (In this entire process, nothing is given about the symbols except K is true, hence the assertion, which then implicates that H is true and that B is negated since B implicates that negated H is true when in fact it is the opposite.)

Formally, the answer would be the following:

K

K -> H

H

B -> ~H

H not B (sorry I couldn't type out the symbol)

~B

Hope this helped!

Step-by-step explanation:

Is it helpful ?

plz let me know

Answer:

Un buen acto o acción podría ser el donar dinero a la caridad, o contribuir con alimentos a comedores sociales. Estas serían buenas acciones porque, sin ninguna duda, ayudarían a contribuir con el bienestar de la sociedad, a través de la realización de medidas efectivas para luchar contra la pobreza, el hambre y la desigualdad de la población.

Answer:

x = 16

Step-by-step explanation:

[tex]-5+\frac{x}{-16} =-6[/tex]

[tex]-5+\frac{16}{-16} =-6[/tex]

[tex]-5-1=-6[/tex]

[tex]-6=-6[/tex]

Answer:

101

Step-by-step explanation:

-5 + ×/-16=-6

-5+x=96

x= 101

Answer:

4

Step-by-step explanation:

in base 4

21 = (2 * 4) + (1 * 1) = 9

Answer:

5/32

Step-by-step explanation:

(3x+1)/4y^2

(3(3)+1)/[4(4)^2]

(3*3+1)/[4(4)(4)]

(9+1)/[4*16]

10/64

simplify

5/32

The value of the expression at x = 3 and y = 4 is  [tex]\frac{5}{32}[/tex]   .

Thus, the value of the expression at x = 3 and y = 4 is  [tex]\frac{5}{32}[/tex]   .

Learn more about expressions here:

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Answer:

ans: it's order wise

a) yes

b) no

c) no

d) no

Step-by-step explanation:

use pythagoras theorem

h² = p² + b²

data given satisfying the theorem form right angled triangle

BAnswer:

B-D-A

Step-by-step explanation:

-

Answer: Choice B

a = 42, b = 5, c = 28, d = 33, e = 10

====================================================

Explanation:

Refer to the diagram below. We have a table of values in which some values (if not most) are unknown. We have variables as placeholders until we can figure out which numbers replace them.

Along the bottom row, we see that 70+e = 80, which solves to e = 10. I subtracted 70 from both sides.

That must mean the answer is between choice A or choice B.

--------------------------

Since e = 10, and b+5 = e (third column), we can replace the 'e' with 10 to get the equation b+5 = 10. That solves to b = 5. This rules out choice A.

The final answer is choice B

---------------------------

If you want to keep going to find a, c and d, then let's solve a+b = 47 which is the same as a+5 = 47 after replacing letter b with 5.

a+5 = 47 solves to a = 42 after subtracting both sides by 5.

Then along the first column, we see that a+c = 70 which is the same as 42+c = 70. Isolating c gets us c = 28

Lastly, c+5 = d is shown along the second row. Plug in c = 28 to find that d = c+5 = 28+5 = 33

So overall we have:

a = 42, b = 5, c = 28, d = 33, e = 10

Answer:

b is correct

Step-by-step explanation:

Answer:

angle BCA = 45 degree

Step-by-step explanation:

since it is an isosceles triangle , it's one angle is 90 degree whereas other two angles are 45 degree each.

Answer:

x = 2

Step-by-step explanation:

→ Work out the area of the first triangle

0.5 × 4 × 7 = 14

→ Set up an equation for the second base

0.5 × x × 14 = 14

→ Simplify

7x = 14

→ Divide both sides by 7

x = 2

Answer:

option B = 2cm

Step-by-step explanation:

[tex]Area \ of \ first \ triangle = \frac{1}{2} \times base_1 \times height_1 \ [ \where base_1 = 4\cm \ height_1 \ = 7cm \ ][/tex]

                                 [tex]=\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2[/tex]

Given area of second triangle is same as first.

[tex]Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2 \ [ \ where \ height _ 2 = 14cm \ ][/tex]

                           [tex]14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm[/tex]