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Inessa05 [86]
3 years ago
5

A man knows that his apple tree is 51 ft high. At 11:00 am the tree casts a shadow of 68 ft. What is the angle of elevation of t

he sun? Round to the nearest tenth
Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

36.9 degrees

Step-by-step explanation:

This problem can be solved by drawing a right triangle and doing trigonometry. We can draw our triangle with a height of 51 and a base of 68. In order to find the angle from the ground to the sun we can use arctangent (tan^-1). Since tan(angle)=opposite/adjacent we can find the angle by doing angle=tan^-1(51/68)

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many credit card companies charge a compound interest of 1.8% per month on a credit card balance. Miriam owes 750 on a credit ca
nadya68 [22]

Answer:

Most credit card companies also apply a late payment penalty if you owe a balance and do not make a payment. Ignoring that fee, Miriam's balance will increase as:  

B(n) = 750(1.018)^n  

where B(n) is Miriam's balance after n months. The progression will be:  

$750.00  

$763.50  

$777.24  

$791.23  

$805.48

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how
crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

5 0
3 years ago
Find the equation of the line that is perpendicular to 3x + 2y = -2 and goes through the point (6,2)
notka56 [123]
Perpendicular lines have slopes that are inverse reciprocals of each other. That would give you the new slope in your equation. After that plug (6,2) into point slope form and solve to get your final equation.

4 0
3 years ago
a school has 450 learners.the ratio of boys to the number of girls is 7:8 determine the number of boys and girls in the school​
Tom [10]

Answer:

Boys : 210

girls: 240

Step-by-step explanation:

7+8=15

450/15=30

boys: 30*7= 210

girls: 240

to make sure......

210+240=450

6 0
3 years ago
Tell me please !!!!!!
UkoKoshka [18]

Answer:

(1)

Donna = Pounds 180

Kyra = Pounds 240

(2)

Kelly = Pounds 225

Nelly = Pounds 175

Step-by-step explanation:

(1)

Donna = x

Kyra = x + 60

If Donna spends 1/3 of her money she is left with 2/3 of her money;

2/3 x

Kyra now has twice as much money as Donna can be represented as;

X + 60 = 2 * 2/3 x

X + 60 = 4/3 x

(x + 60)3 = 4x

3x + 180 = 4x

180 = 4x – 3x

180 = x

Donna = 180

Kyra = 180 + 60 = 240

(2)

Kelly = x

Ned = y

Kelly spends 40% of her money. Therefore he is left with 60%;

60/100 x

Nelly spends Euros 40 of his money. Therefore he is left with;

y- 40

If they now have the same amount of money;

60/100 x = y – 40

3/5 x = y – 40

3x = 5y – 200

3x – 5y = -200

Remember Kelly & Ned has Euros 400 in total;

x + y = 400

Now we can solve the simultaneous equation by substitution;

x + y= 400

3x – 5y = -200

3x + 3y = 1200

-

3x – 5y = - 200

=

8y = 1400

Y = 175

X = 225

Kelly = 225

Nelly = 175

Learn More:

brainly.com/question/2273184

brainly.com/question/11876335

#LearnWithBrainly

3 0
3 years ago
Read 2 more answers
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