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Yuliya22 [10]
2 years ago
11

17. Carole Winer deposits the following in her checking account: 7 five-

Mathematics
1 answer:
lord [1]2 years ago
5 0
All of that is $70.13
You might be interested in
PLEASE HELP ME SOLVE this
Alisiya [41]

Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

3 0
3 years ago
A small bottle of lemonade is half the size of a large bottle. The small bottle costs 80p and the large bottle costs £1.50. Amir
Leni [432]

80p = 80 cents

£1.50 = $1.50.

(changing the signs, that's it)

So if a small bottle is half the size of a large bottle, and is 80 cents.

Amir buys 4 bottles, so 0.80 * 4 = 320 = $3.20.

Now 4 small bottles is the same as 2 large ones, so if he bought 2 large bottles: $1.50 * 2 = $3.00.

$3.20 - $3.00 = 0.20 cents.

Amir would've saved 0.20

P.S. What is "p" in European money

4 0
3 years ago
Read 2 more answers
1. Consider the right triangle ABC given below.
lbvjy [14]
#1) 
A) b = 10.57
B) a = 22.66; the different methods are shown below.
#2)
A) Let a = the side opposite the 15° angle; a = 1.35.
Let B = the angle opposite the side marked 4; m∠B = 50.07°.
Let C = the angle opposite the side marked 3; m∠C = 114.93°.
B) b = 10.77
m∠A = 83°
a = 15.11

Explanation
#1)
A) We know that the sine ratio is opposite/hypotenuse.  The side opposite the 25° angle is b, and the hypotenuse is 25:
sin 25 = b/25

Multiply both sides by 25:
25*sin 25 = (b/25)*25
25*sin 25 = b
10.57 = b

B) The first way we can find a is using the Pythagorean theorem.  In Part A above, we found the length of b, the other leg of the triangle, and we know the measure of the hypotenuse:
a²+(10.57)² = 25²
a²+111.7249 = 625

Subtract 111.7249 from both sides:
a²+111.7249 - 111.7249 = 625 - 111.7249
a² = 513.2751

Take the square root of both sides:
√a² = √513.2751
a = 22.66

The second way is using the cosine ratio, adjacent/hypotenuse.  Side a is adjacent to the 25° angle, and the hypotenuse is 25:
cos 25 = a/25

Multiply both sides by 25:
25*cos 25 = (a/25)*25
25*cos 25 = a
22.66 = a

The third way is using the other angle.  First, find the measure of angle A by subtracting the other two angles from 180:
m∠A = 180-(90+25) = 180-115 = 65°

Side a is opposite ∠A; opposite/hypotenuse is the sine ratio:
a/25 = sin 65

Multiply both sides by 25:
(a/25)*25 = 25*sin 65
a = 25*sin 65
a = 22.66

#2)
A) Let side a be the one across from the 15° angle.  This would make the 15° angle ∠A.  We will define b as the side marked 4 and c as the side marked 3.  We will use the law of cosines:
a² = b²+c²-2bc cos A
a² = 4²+3²-2(4)(3)cos 15
a² = 16+9-24cos 15
a² = 25-24cos 15
a² = 1.82

Take the square root of both sides:
√a² = √1.82
a = 1.35

Use the law of sines to find m∠B:
sin A/a = sin B/b
sin 15/1.35 = sin B/4

Cross multiply:
4*sin 15 = 1.35*sin B

Divide both sides by 1.35:
(4*sin 15)/1.35 = (1.35*sin B)/1.35
(4*sin 15)/1.35 = sin B

Take the inverse sine of both sides:
sin⁻¹((4*sin 15)/1.35) = sin⁻¹(sin B)
50.07 = B

Subtract both known angles from 180 to find m∠C:
180-(15+50.07) = 180-65.07 = 114.93°

B)  Use the law of sines to find side b:
sin C/c = sin B/b
sin 52/12 = sin 45/b

Cross multiply:
b*sin 52 = 12*sin 45

Divide both sides by sin 52:
(b*sin 52)/(sin 52) = (12*sin 45)/(sin 52)
b = 10.77

Find m∠A by subtracting both known angles from 180:
180-(52+45) = 180-97 = 83°

Use the law of sines to find side a:
sin C/c = sin A/a
sin 52/12 = sin 83/a

Cross multiply:
a*sin 52 = 12*sin 83

Divide both sides by sin 52:
(a*sin 52)/(sin 52) = (12*sin 83)/(sin 52)
a = 15.11
3 0
3 years ago
Read 2 more answers
Please help and explain.
Alexandra [31]

Answer:

-1/3

Step-by-step explanation:

Use the formula, (y2 - y1)/(x2 - x1).  In this case, there is a negative slope.  

Start from point, (1, 9) and go to point (4, 8).  

Use the formula:

(y2 - y1)/(x2 - x1)

Y2 = 8

Y1 = 4

X2 = 9

X1 = 1

(8 - 9)/(4 - 1) = -1/3

Therefore, the slope is -1/3

6 0
2 years ago
Read 2 more answers
30 is 60% of which of the following numbers?
zhenek [66]

Answer:

50

Step-by-step explanation:

30 divided by 0.6 equals 50

hope i helped

4 0
3 years ago
Read 2 more answers
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