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Lelu [443]
3 years ago
5

A tree and a flagpole are on the same

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

The height of the flagpole = 4.50m (3signifiant figures)

Question:

A tree and a flagpole are on the same

horizontal ground. A bird on top of the

tree observes the top and bottom of the flagpole below it at angles of 45° and 60° respectively. If the tree is 10.65 m high, Calculate Correct to 3 significant figures the height of the flagpole.

Step-by-step explanation:

First we have to represent the above information with a diagram to enable us solve the question.

Then label them for easy identification.

To determine the distance between the tree and flagpole, we would apply tangent rule.

Let their distance = x

Tan60 = opposite/adjacent

Tan60 = 10.65/y

Tan60 × y = 10.65

y = 10.65/Tan60

y = 10.65/1.7321

y = 6.15m

See attachment for the concluding part

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9x-4y=-17 for y answer it for me plz
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Answer:

y = 17/4 + 9x/4

Step-by-step explanation:

5 0
3 years ago
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What is 241,639 rounded to the nearest thousand?
stich3 [128]

Answer:

242,000

Step-by-step explanation:

Since the 6 in the hundreds place is greater than 5, you round up.

3 0
3 years ago
Evaluate<br> 4(x+5)(2+1)<br> (2+3)(2-3)<br> for x = 5.
zaharov [31]

Answer:

-600

Step-by-step explanation:

4 x 10 x 3 x 5 x -1

40 x 15 x -1

600 x -1 = -600

7 0
2 years ago
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥
gregori [183]

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

6 0
2 years ago
Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

110x +88y = 2970

--------------------------

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

6 0
2 years ago
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