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AleksAgata [21]
3 years ago
12

Liz wants to buy her favorite musical group’s new cd. the cd costs $15.24, including tax. liz gives the store clerk a twenty-dol

lar bill. how much change should liz get back?
Mathematics
1 answer:
Tema [17]3 years ago
3 0
So from 20 dollars subtract this 15,24 

20,00 - 
15,24
---------
04,76   so this mean that Liz will get back $04,76 

hope this will help you 
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The perimeter of a rectangle is 46in and the diagonal is 17 in
dmitriy555 [2]

Answer + explaination

p=2*(L+l)=46

L+l=46:2

L+l=23

(L+l)^2=529

(L^2+l^2)+2l*L=529

D= V L^2+l^2= 17

L^2+l^2=289

so 289+2l*L=529

    2l*L=529-289=240

l*L=240:2

A=120

4 0
2 years ago
(6.x² + 7x)+(5 – 2x² + 9x)<br> I really need help
Eduardwww [97]

4x ^{2}  + 16x + 5

7 0
3 years ago
Read 2 more answers
If I have a 74 in geometry, and I have an assignment worth 100 points then I get a zero, what would my grade be?
Paraphin [41]

................

Step-by-step explanation:

it would at LEAST be like around 20-30 because a 0 can drop something FAST

3 0
3 years ago
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A
julsineya [31]

Answer:

a) -13.9 ft/s

b) 13.9 ft/s

Step-by-step explanation:

a) The rate of his distance from the second base when he is halfway to first base can be found by differentiating the following Pythagorean theorem equation respect t:

D^{2} = (90 - x)^{2} + 90^{2}   (1)

\frac{d(D^{2})}{dt} = \frac{d(90 - x)^{2} + 90^{2})}{dt}

2D\frac{d(D)}{dt} = \frac{d((90 - x)^{2})}{dt}  

D\frac{d(D)}{dt} = -(90 - x) \frac{dx}{dt}   (2)

Since:

D = \sqrt{(90 -x)^{2} + 90^{2}}

When x = 45 (the batter is halfway to first base), D is:

D = \sqrt{(90 - 45)^{2} + 90^{2}} = 100. 62

Now, by introducing D = 100.62, x = 45 and dx/dt = 31 into equation (2) we have:

100.62 \frac{d(D)}{dt} = -(90 - 45)*31          

\frac{d(D)}{dt} = -\frac{(90 - 45)*31}{100.62} = -13.9 ft/s

Hence, the rate of his distance from second base decreasing when he is halfway to first base is -13.9 ft/s.

b) The rate of his distance from third base increasing at the same moment is given by differentiating the folowing Pythagorean theorem equation respect t:

D^{2} = 90^{2} + x^{2}  

\frac{d(D^{2})}{dt} = \frac{d(90^{2} + x^{2})}{dt}

D\frac{dD}{dt} = x\frac{dx}{dt}   (3)

We have that D is:

D = \sqrt{x^{2} + 90^{2}} = \sqrt{(45)^{2} + 90^{2}} = 100.63

By entering x = 45, dx/dt = 31 and D = 100.63 into equation (3) we have:

\frac{dD}{dt} = \frac{45*31}{100.63} = 13.9 ft/s

Therefore, the rate of the batter when he is from third base increasing at the same moment is 13.9 ft/s.

I hope it helps you!

4 0
3 years ago
Read 2 more answers
PLEASE HELP. Please show all work. Im giving 80 points to whoever answers it first.
mr_godi [17]

Answer:

1.1) B=12.42°, C=146.58°, c=15.37  

1.2) B=8°, C=124°, c=35.7  

2) In the case of SSA, when the given angle A is acute (<90°), the side "a" (opposite to the given angle "A") is less than the other given side "b" (a<b), and a > b sinA.  

3.1) Perimeter = 31.37 units, Area = 16.5 square units  

3.2) Perimeter = 73.70 units, Area = 75.6 square units  

4.1) Magnitude of vector AB=5.1

4.2) Direction of vector AB=348.69°  

5.1) The dot product of two vectors is equal to the sum of the product of their components

5.2) a . b = 10  

6.1) Trigonometric form: z = 3√2 (cos 315°+ i sin 315°)  

6.2) The 4th roots are:  

w1 = 18^(1/8) [cos(78.75°) + i sin(78.75°)]

w2 = 18^(1/8) [cos(168.75°) + i sin(168.75°)]

w3 = 18^(1/8) [cos(258.75°) + i sin(258.75°)]

w4 = 18^(1/8) [cos(348.75°) + i sin(348.75°)]


Step-by-step explanation:

3.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37  

Area: A = a b sinC / 2

Replacing the known values:

A = (10)(6) sin 146.58325418° / 2 → A = 60(0.55072472) / 2 →

A = 16.52174152 → A = 16.52 square units


3.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70

Area: A = a b sin C /2

Replacing the known values:

A = (32)(6) sin 123.99036327° / 2 → A = 192(0.82913161) / 2 →

A = 75.59663485 → A = 75.6 square units

3 0
3 years ago
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