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evablogger [386]
3 years ago
8

Marlene wants to know the height of a nearby tree the trees casting a shadow that is 13 ft long. Marlene places a yard stick per

pendicular to the ground. The yardstick casts a shadow that is 2 feet long. To the nearest tenth of a foot what is the height of the tree?
Mathematics
1 answer:
ikadub [295]3 years ago
6 0
If the unit you’re doing is similar polygons/triangles, then the tree is 19.5 ft tall. *** I’m from Canada so I’m not quite sure what a yardstick is but I’m assuming it’s a yard which is 3 ft so that’s what I used in my calculations lol
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Dr. Kora borrowed $8000 to purchase new medical equipment for her new office . If she paid 7.5% simple interest for 10 years. Ho
faltersainse [42]

Answer:

Dr. Kora will pay an interest of $6,000

Step-by-step explanation:

Simple interest = P × R × T

Where:

P = Principal = $8000

R = Rate = 7.5% = 0.075

T = Time = 10 years

∴ Simple interest = 8000 × 0.075 × 10 = $6,000

Therefore Dr. Kora will pay an interest of $6,000

8 0
3 years ago
A family has a monthly budget of $2,400. How much money is spent on each category? 44% is spent on housing. 23% is spent on food
Lunna [17]

Answer:

  • housing, $1056
  • food, $552
  • transportation, $408
  • savings, $240
  • clothing, $144

Step-by-step explanation:

Multiply the budget total by the percentage for each category:

  • housing: 44% × $2400 = $1056
  • food: 23% × $2400 = $552
  • clothing: 6% × $2400 = $144
  • transportation: 17% × $2400 = $408
  • savings: 10% × $2400 = $240

__

Find "the rest" by subtracting the total of percentages from 100%, or by subtracting the total of budget categories from $2400. Here, everything (not including savings) adds to 90% × $2400 = $2160, so the amount to savings is 10%, or $240.

6 0
3 years ago
A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the ba
Naya [18.7K]

Option C: 0.8889 is the probability of choosing an orange marble and a green marble.

<h2>Given that:</h2>
  • Number of red marbles is 5
  • Number of orange marbles is 2
  • Number of yellow marbles is 1.
  • Number of green marbles is 2.

<h2>Explanation and Calculations:</h2>

So there are in total 10 marbles.

Two marbles can be chosen in ^{10}C_2 ways = 90/8

Now the favorable event is when one green marble and one orange marble  is chosen. The number of ways this can be done is ^{2}C_1 \times ^{2}C_1 = 4

The resultant probability is calculated by:

P(E) = \dfrac{Number \:of\: Favourable \:cases}{ Number\: of\: total \:cases}\\= \dfrac{4}{\frac{90}{2}}\\\\= \dfrac{8}{90}\\\\\approx 0.08889

Thus the needed probability is 0.08889 given by option C.

Learn more here:

brainly.com/question/13038567

3 0
2 years ago
If r = 9, b = 5, and g= −6, what does (r + b − g)(b + g) equal?
r-ruslan [8.4K]

Answer:

-20

Step-by-step explanation:

(r + b − g)(b + g)

we have fom statement:

r = 9    

b = 5

g= −6

so we have:

(r + b − g)(b + g)= (9+5-(-6))*(5+(-6))

(r + b − g)(b + g)= (14+6)*(-1)

(r + b − g)(b + g)= -20

8 0
3 years ago
the length of a rectangle is 5ft more than twice the width and teh area of the rectabgle is 42ft squared. what are the dimension
lara [203]
The width is 3.5 and the length is 12

4 0
3 years ago
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