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VashaNatasha [74]
2 years ago
15

Angela s. Became famous architect

Mathematics
1 answer:
SIZIF [17.4K]2 years ago
3 0

Answer:

Percentage profit= 33.33%

Step-by-step explanation:

Angela made $90000 income in 2004 then in 2005 she made income of $120000.

The percentage increase on her income will be determined by subtracting tge the initial profit from the final profit then dividing by the initial and multiplying by 100.

Profit= 120000-90000

Profit= 30000

Percentage profit=( 30000/90000)*100

Percentage profit= 1/3 *100

Percentage profit= 33.33%

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Find the missing variable for a tralezoid. A=68^2 b=<br> h=4 B=21
Bezzdna [24]
The answer is:  " 2291 units " .
____________________________________________
Explanation:
____________________________________________
Formula for "Area of a trapezoid" :
____________________________________________
Area = (1/2) * (base length 1 + base length 2) * height;

or:  A = (1/2) * (b + B) * h.

We are missing the value for "b" one of the base lengths.

However, since:  A = 68² (given) ;  B (the other base length) = 21;  and the perpendicular height, "h" = 4 ;  we can plug this values into the formula, and solve for "b" ;
________________________________________________
A = (1/2) * (b + B) * h ;  ↔  68² = (1/2) * (b + 21) * 4 ;

 ↔  <span>4624 = 2 (b + 21) = 2b + 42 ;

</span> ↔  <span>4624 = 2b + 42 ; 

</span> ↔  <span>2b + 42 = 4624 ;

Subtract "42" from each side of the equation:

     2b + 42 - 42 = 4624 - 42 ;

to get:   2b = 4582 ;
</span>___________________________________________________
    Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
___________________________________________________
             2b / 2 = 4582 / 2 ;
___________________________________________________
 to get:    b = 2291 units.
___________________________________________________
6 0
3 years ago
Read 2 more answers
Bob constructed an equilateral triangle PQR as shown. He then drew a straight line ST THROUGH POINT P. Determine the sum of the
prohojiy [21]

The answer would be 120 because point p is 60 degrees, since the triangle is an equilateral triangle. Then you would do 180-60, which is 120.

4 0
3 years ago
Find the value of x when 6-3x=5x-10x+4
tatuchka [14]

Answer:

x= -1

Step-by-step explanation:

6-3x=5x-10x+4

6-3x=-5x+4

-4            -4

2-3x=-5x

+3x  +3x

2=-2

2/-2=-2x/-2

-1=x

7 0
3 years ago
Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)
Fantom [35]

Answer:

Given: \sin(x) = (4/5).

Assuming that 0 < x < 90^{\circ}, \cos(x) = (3/5) while \tan(x) = (4/3).

Step-by-step explanation:

By the Pythagorean identity \sin^{2}(x) + \cos^{2}(x) = 1.

Assuming that 0 < x < 90^{\circ}, 0 < \cos(x) < 1.

Rearrange the Pythagorean identity to find an expression for \cos(x).

\cos^{2}(x) = 1 - \sin^{2}(x).

Given that 0 < \cos(x) < 1:

\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}.

Hence, \tan(x) would be:

\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}.

7 0
2 years ago
Find the equation of the linear function represented by the table below in slope-
pav-90 [236]

Answer: y=-3x-2

Step-by-step explanation:

Using the values x=-2, y=4 and x=1, y=-5, the slope is \frac{-5-4}{1-(-2)}=-3.

So, the equation is:

y-4=-3(x+2)\\\\y-4=-3x-6\\\\y=-3x-2

3 0
1 year ago
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