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Misha Larkins [42]
2 years ago
9

Find the area of the triangle...

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
4 0
In order to find height (h), tan20 = h/26
h = 26 \tan(20)  = 9.46
Now for the left part of base (b1), where b2 = 26 and entire base (b) = b1+b2
\tan(36) =  h \div b1  \\ b1 = 9.46 \div  \tan(36)  = 13.03
So b = 13.03+26 = 39.03

Now Area (A) = 1/2bh = 1/2 (39.03)(9.46)
A = 184.59
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For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo
slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem  when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of  the demand linear equation . It can be computed through the formula

b=\frac{y2-y1}{x2-x1}.  equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

b=\frac{19-11}{1-3} =\frac{8}{-2}

b=-4

Now we can find the value of  intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0
3 years ago
Multiply (2x-5)(3x2-4x+2)
WITCHER [35]

Answer:The answer is 183, hope I helped.  

8 0
3 years ago
in ABC the measure of angle A is 2x+3 the measure of angle B is 4x+2 the measure of angle C is 2x-1 what are the measures of the
Virty [35]


IN A triangle, sum of all angles = 180 degrees

2x + 3 + 4x+2 + 2x -1 = 180

8x +4  = 180

8x = 176

x = 176 /8 = 22 degrees

the angles are A = 2(22)+3 = 44+3 = 47 DEGREES

B = 4(22)+2 = 88 + 2 = 90 DEGREES

C = 2(22) -1 44-1 = 43 DEGREES

7 0
3 years ago
Read 2 more answers
Abbeys cat weighs 18 pounds. Her dog weighs 2 pounds more than half her cats weight. Write and evaluate an expression to show ho
SIZIF [17.4K]

(18 \div 2)  + 2 = x
X= lbs Abbys dog weighs
so you would take 18 divide by 2 which is 9, then you add 2. So Abbys dog weighs, 11 lbs.
4 0
3 years ago
a bank offers a home improvement loan with simple interest at an annual rate of 12% j.t. borrows $14000 over a period of 3 years
I am Lyosha [343]
Interest = PRT/100
I= 14000*0.12*3
I=5040

Add Interest to the Principal
14000 + 5040
= $19,040 
A is the answer.
3 0
3 years ago
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