Find the angle with a tangent ratio of 0.9325.
a. 77°
b. 43°
C. 13°
d. 47°

Answer:

a

Step-by-step explanation:

Answer:

20 cm^2

Step-by-step explanation:

A= 1/2 ×height

height = 4 cm

sides S1= 7cm

S2= 3cm

A= 1/2(7+3)4

=5×4

=> 20 cm

hope it helps..

have a great day!!

Answer:

9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the Pythagorean theorem, find x:

Answer:

654 grams

Step-by-step explanation:

When you set up this equation you want the number of grams you start with, 2616, and the factor by which it is decreasing, which is half, or 1/2. Because the half life is 11 days, but you want to find the amount left over after 22 days, you can make 22/11 as the exponent on the 1/2. The equation should look like this : 2616(1/2)^22/11. With these kinds of equations you always want to multiply the starting value by the factor of increase/decrease, and raise that factor to the time eclipsed divided by the set time(like the 11 day half life).

Complete question :

Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after 2005 can be approximated by P(t) 1052(0.793), where t0 corresponds to 2005 a) What was the average price of an LCD TV in 2005? in 2009? in 2011?

Answer:

1052 ; 416.01 ; 261.61

Step-by-step explanation:

Given the price function :

P(t) = t0(0.793)^t

P(t) = 1052(0.793)^t

Price in 2005 = 1052

The average price of LCD in 2005 is t0

t - t0 = 2005 - 2005 = 0

P(0) = 1052(0.793)^0 ;

P(0) = 1052 * 1 =

Price in 2005 = 1052

Price in 2009 :

t = 2009 - 2005 = 4

P(t) = t0(0.793)^t

P(4) = 1052(0.793)^4

P(4) = 1052 * 0.39534 = 416.0145

Price of LCD in 2009 = 416.01

Price in 2011

t = 2011 - 2005 = 6

P(t) = t0(0.793)^t

P(6) = 1052(0.793)^6

P(6) = 1052 * 0.248679 = 261.6103

Price of LCD in 2009 = 261.61

Answer:

17 units

Step-by-step explanation:

Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular

There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.

Using Pythagoras' identity in this right angle

r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )

r = [tex]\sqrt{289}[/tex] = 17

Answer:

(-1, 4)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

Answer: the area of the whole shape is 0.77. hope this helped.

Step-by-step explanation:

Answer:

Impossible; certain to happen

Step-by-step explanation:

Probability = 0 applies to an event which cannot happen.  Example: roll a die and get a 7.

Probability = 1 applies to an even which is certain to occur.  Example: roll a die and get a number less than 8.

Answer: 24 tests

Step-by-step explanation:

Ms. Carey graded 1/3 of the tests and still had 16 tests to go.

This means that the 16 tests represent the remaining proportion of the total number of tests:

= 1 - 1/3

= 2/3

2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:

2/3x = 16

x = 16 ÷ 2/3

x = 16 * 3/2

x = 24 tests

Answer:

it's Answer is option B

Step-by-step explanation:

The new volume is 4 times the old volume

Answer:

20, 10

Step-by-step explanation:

This sequence is dividing by 2. Therefore, 40 divided by 2 is 20 and 20 divided by 2 is 10

Answer:

p = 5t

Step-by-step explanation:

We'll check by plugging in t = 3 and p has to equal 15

p = 5t     ✅

p = 5(3)

p = 15

3t = 15p ❌

3(3) = 15p

9 = 15p

p = 15/9 = 5/3

p/t = 15 ❌

p/3 = 15

p = 45

p = 1/5t ❌

p = 1/5(3)

p = 3/5

Answer:

[tex]-1[/tex]

Step-by-step explanation:

This is a really nice line that goes through a lot of grid points (where the lines intersect).

One easy way to find the slope is the phrase "rise over run."  "Rise" is the name for vertical motion from point-to-point.  "Run" is the name for horizontal motion from point-to-point.

Pick two easy points on the line, say (0, 0) and (1, -1).

If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.

The run is 1 -- because you went RIGHT 1 unit.

[tex]\frac{\text{rise}}{\text{run}} =\frac{-1}{1} =-1[/tex]

The slope is -1.

Cool fact:  You'll get the same value if you use any two points on the line.

Step-by-step explanation:

This can be done by using the trignometric ratio of tangent in the ∆DEF . The two of its sides along 90° are 7.2 and d .

• In ∆ DEF :-

[tex]\tt\to tan42^o = \dfrac{EF}{ED}\\\\\tt\to tan42^o =\dfrac{d}{7.2}\\\\\tt\to 0.9 = \dfrac{d}{7.2}\\\\\tt\to d =7.2\times 0.9\\\\\tt\to\boxed{\orange{\tt d = 6.48 }}[/tex]

Answer:

Median: b

Altitude: c

Angle bisector: a

Perpendicular bisector: d

Step-by-step explanation:

ANSWER:

From 2 to 10=

Explanation:

2/2/10

5/1/5

/1/1

Answer:

Step-by-step explanation:

So let the angles be 2x,3x,5x

∠A + ∠B + ∠C + ∠C = 360  

[Sum of all the angles of a quadrilateral ]

⇒2x+3x+5x+130=360  

⇒10x = 360 -130  

⇒x =  23

The angles are ,

∠A = 2x = 2×23 = 46

∠B = 3x = 3×23 = 69  

∠C = 5x = 5×23=115

Let the angles be 2x,3x and 5x

We know that 2x+3x+5x+130=360

10x+130=360

10x=230

Therefore x=23°

2x=46°

3x=69°

5x=115°

Hope it helped! Have a nice day!!

Answer:

3

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Alex is 10 years old because he is twice as old as his 5 year old brother. Therefore Alex's father is 50 years old because he is five times older than Alex.

Answer:

Step-by-step explanation:

Angle formed by two chords is the half of the sum of the intercepted arcs:

Answer:

d. 4,096

Step-by-step explanation:

i hope this helps :)

Answer:

B.45

Step-by-step explanation:

60+55=115

180-115=65

65-20=45

Answer: 45°