Examine the figure below.
B
E
12
8
(3x+18)
(4x+2)
C D
А
9
6
F
If AABC is similar to ADEF, determine the measure of ZA.
22

Answer:

The angle of depression calculator. How to find the angle of depression?

Since we now know what the angle of depression is, let's learn how to find it! We can determine the angle of depression using surveying equipment like an engineer's transit or a clinometer. These devices are optical instruments that have angle-measurement features and can instantly give us the angle that we need. However, we can also use mathematics to find the angle of depression. But first, we need to know two distances: the horizontal distance between the viewer and the object, and their vertical distance, as shown in the illustration below:

Answer:

Infinite solutions

Step-by-step explanation:

-(-x + 1) = x - 1

x - 1 = x - 1

Answer:

Step-by-step explanation:

Let the starting point be B and the stopping be C as shown in the diagram below.

therefore, the angle at A will be (197-90)degree = 107degree

the angle at B is 45degree, since it is directly south west of C.

therefore the angle at C will be A+B+C=180 degree(sum angle of a triangle)

107+45+C=180

therefore, C=180-107-45=28degree

therefore, using sine rule gives;

sinA/a =sinC/c

sin107/a=sin28/4

0.9563/a=0.4695/4

0.9563/a=0.11736

therefore, a =0.9563/0.11736=8.148=8.1km(approx.)

Answer:

It should be [tex]15*10^{4}[/tex].

Step-by-step explanation:

[tex]300=3*10^{2}\\500=5*10^{2}\\\\300*500=(3*10^{2})*(5*10^{2})=(3*5)*10^{(2+2)}=15*10^{4}=1.5*10^{5}[/tex]

Answer: 1.5 x 10^5

Step-by-step explanation:

The first step is to re-arrange the factors like this :

5 x 3 x 10^2 x 10^2

Since

5 x 3 = 15

and the index law

10^a x 10^b = 10^a + ^b

gives us

10^2 x 10^2 = 10^2 + ^2 = 10^4

then we can rewrite the product like this :

5 x 3 x 10^2 x 10^2 = 15 x 10^4

Finally, we need to convert this into scientific notation :

15 x 10^4 = 1.5 x 10^5  

So the final answer is

1.5 x 10^5

Answer:

$133

Step-by-step explanation:

$135-$12=

Answer:

200% if you look the increase from $11->$22 (100% added on)  or 50% if you look at it from $22->$11

Step-by-step explanation:

Is this what you want?

Answer:

in the photo. hope this helps ^^

Answer:

Step-by-step explanation:

x(x+10)=0

Either x=0 or x+10=0

Answer B

Answer:

3

Step-by-step explanation:

Answer: Choice A

f(1) = 2

f(n) = 2*f(n-1) for n ≥ 2

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

Explanation:

n = term number

So for instance, n = 3 represents the index for the 3rd term

We see that when n = 1, f(n) = 2 as shown by the left-most red point.

This means that f(1) = 2 which is a short way of saying "the first term is 2".

So the answer is between A and C.

Let's randomly guess that it might be choice C. We'll use the recursive rule given to generate the next term

f(n) = 4*f(n-1)

f(2) = 4*f(2-1) .... replace every n with 2

f(2) = 4*f(1)

f(2) = 4*2 ..... replace f(1) with 2, since f(1) = 2

f(2) = 8

This tells us that the 2nd term is 8, but the graph says it should be 4. Note the red point at (2,4)

Ultimately this all means that we can eliminate choice C and go with choice A as the final answer.

As a check, let's plug n = 2 into the recursive rule for choice A

f(n) = 2*f(n-1)

f(2) = 2*f(2-1)

f(2) = 2*f(1)

f(2) = 2*2

f(2) = 4

We get the proper second term. I'll let you check the other remaining terms. The notation 2*f(n-1) means "multiply 2 by the previous (n-1) term". In other words, the term values are doubling {2,4,8,16,...}

Answer:

60 kilograms of the 30% solution

140 kilograms of the 40% solution

Step-by-step explanation:

Let x = the no. of kilos containing 30% salt (solution 1)

and 200 - x = the no. of kilos containging 40% salt solution 2)

.30x = amount of salt in solution 1

.40(200 - x) = amount of salt in solution 2

.37(200) = amount of salt in the final mixture

salt in solution 1 + salt in solution 2 = salt in final mix.

.30x + .40(200 - x) = .37(200)  

Let's multiply thru the equation by 100 to remove the decimal fractions

30x + 40(200 - x) = 37(200)

30x + 8000 - 40x = 7400

-10x = -600

x = 60 kilograms of the 30% solution

200 - 60 = 140 kilograms of the 40% solution

Answer:

Part A is not a rt triangle

Part B is not a rt triangle

Part C is a rt triangle

Step-by-step explanation:

Part A:

290^2 + 696^2 = 750^2

84,100 + 484,416 = 562,500

Add the numbers on the left to see if the 2 sides are equal.

568,516 ≠ 562,500

Part B:

514^2 + 684^2 = 855^2

264,196 + 467,856 = 731,025

Add the numbers on the left to see if the 2 sides are equal.

732,052 ≠ 731,025

Part C:

450^2 + 1080^2 = 1170^2

202,500 + 1,166,400 = 1,368,900

1,368,900 = 1,368,900

Answer:

$2,922.57

Step-by-step explanation:

[tex]A = P(1 + r/n)^{nt}[/tex]

[tex]A = 2700(1 + .02/1)^{1(4)}[/tex]

Answer:

x = 0

Step-by-step explanation:

its quite simple because 10 raised to the power '0' is 1, so 41,630 ×1 is the same.

don't know about the second figure but the comma doesn't change it..

Answer:

x=19

Step-by-step explanation:

82+79=161

180-161=19

r(X(5+4) YOUR now welcome

Answer:

The equation you would use is лr² (pi times radius squared).

The area of the stage would be 1963.5 square meters or 625л square meters

Okay, so not sure what your question is, but this should help

X = 2

Y = 3

X = 8

Y=12

X = 8+2 = 10

Y = 12+3 = 15

15/10= 1.5

X = 1

Y = 1.5

Answer:x

y = [tex]\frac{x}{2}[/tex]+x

y=[tex]\frac{3}{2} x[/tex]

Answer:

Step-by-step explanation:

Area = (2x+5)( 3x+12) square units

= 6x² + 39x + 60 square units

Trinomial

Answer:

sorry do u have a graph paper for this

Step-by-step explanation:

Answer:

x >= 5

Step-by-step explanation:

x is greater than or equal to 5

Answer:

9:15 or 3:5

Step-by-step explanation:

A ratio can compare a part of a whole to a whole.

In this case, our whole is the total number of shots attempted: 15.

The basketball player successfully made 9 of the attempts. 9 is our other number in this ratio.

Put these values in a ration.

part:whole

9:15

Notice that 9 and 15 can be simplified by dividing both numbers by 3.

3:5

This is your simplified ratio.

Hope this helps!

Okay so first you want to simplify the given equation  (7x+3y)(7x-3y)

in order to do this you multiply the first number of the first equation (7x) with the first number of the second equation (7x) this gives you 49x^2

Now you want to multiply the second number of the first equation (3y) by the second number of the second equation (-3y) this gives you -9y^2

Its as easy as pie!

Answer: it is 8/15 I think

Step-by-step explanation:

I'm sorry if it is wrong

Answer:

2/3 cm

Step-by-step explanation:

hope this helps!!

Answer:

( 5/2,5/2)

Step-by-step explanation:

Answer:

hey there!

I guess you shouldn't be saying ugly to anyone..

that's not good..

Answer:

hi

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

2 + 2+ 2 + 2 = 8

3 + 3 + 3 = 9

4 + 4 = 8

8

8

9

____+

25