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3 years ago

A circular post in an office building has a diameter of 5 feet. Which of

Mathematics

2 answers:

kompoz [17]3 years ago

4 0

Answer:

15.7

Step-by-step explanation:

Circumference = πd

π = 3.14

d = diameter (5 feet)

C = 3.14(5)

C = 15.7

Flauer [41]3 years ago

4 0

Answer:

15.7 feet

Step-by-step explanation:

The circumference is equal to π × diameter.

3.14 × 5

= 15.7

The circumference of the circular post is 15.7 feet.

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While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

3 years ago

Please HELP!!! I'll make you Brainliest!!!!

erica [24]

Answer: 1. d. $7x\geq 350; x\geq 50$

2. a. (5, 28)

3. a: C(n) = 0.90 n - 0.40

Step-by-step explanation:

1. Here x represents the saving of one day.

Thus, the total saving for 7 day = 7 x

And, my goal is to save at least $350.00 ( According to the question)

⇒ $7x\geq 350$

⇒ $x\geq 50$ ( by dividing both sides by 7 )

Therefore, Option d is correct.

2. since, if a point satisfies an equation then we can say that it is the solution of the equation.

(5,28) satisfies y= 5x + 3

Because at x = 5, 5×5 + 3 = 25 + 3 = 28

except this point other points (28, 5), (4, 20) and (3, 19) are not satisfying given equation of line.

Therefore, only (5,28) is the solution of line.

⇒ Option a is correct.

3. Here n represents the number of tunas.

And, according to question the cost of one tuna = $0.90

⇒ Cost of n tunas = $ 0.90n

But again according to the question,

I have a coupon for $0.40 off your total purchase.

Thus, $ 0.40 will be less from my total purchasing cost.

⇒ The cost of n tunas = $ (0.90 n - 0.4)

Option a is correct.

7 0

3 years ago

Please help with this

ANTONII [103]

Answer: Complementary angles

Step-by-step explanation:

wxy is making a 90 degree angle which is a complementary. A supplementary is a 180 degree angle

5 0

3 years ago

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=41°, and SQ = 94 feet. Find the length of QR to the nearest tenth of a foot.

timama [110]

Answer:

124.6

Step-by-step explanation:

maths

6 0

3 years ago

Find x so that (x,-14) is a solution to 2x+3y=12

Monica [59]

Answer:

Question:

Find $x$ so that $(x,-14)$ is a solution to $2x+3y=12$ .

Step-by-step explanation:

So we are asked to replace $y$ with -14 and solve for $x$ in the equation:

$2x+3y=12$ .

$2x+3y=12$ with $y=-14$ :

$2x+3(-14)=12$

$2x-42=12$

Add 42 on both sides:

$2x=54$

Divide both sides by 2:

$x=27$ .

So the $x$ -coordinate that corresponding to $y=-14$ is $27$ .

Verify that:

$(27,-14)$ is a point satisfying $2x+3y=12$ .

Replace $x$ with 27 and $y$ with -14:

$2(27)+3(-14)=12$

$54+-42=12$

$12=12$ is true so our work must be right.

3 0

3 years ago