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3 years ago

6

Circle as A diameter of 10 cm what is the circumference use 3.14 For £ and do not round your answer be sure to include the corre

ct unit in your answer

1 answer:

astra-53 [7]3 years ago

7 0

Answer:31.4cm

Step-by-step explanation:

Circumference=2×π×(diameter/2)

Circumference=2×3.14×10/2

Circumference=(2×3.14×5)

Circumference=31.

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PLEASE HELP ME TO ANSWER THIS QUESTION.

Tomtit [17]

Answer:

(a) PT = 13 cm

(b) <PTR = $39.7^{o}$

Step-by-step explanation:

(a) Applying the Pythagoras theorem to QST, we have;

$QS^{2}$ = $ST^{2}$ + $QT^{2}$

= $6^{2}$ + $8^{2}$

$QS^{2}$ = 36 + 64

100

QS = $\sqrt{100}$

= 10

QS = 10 cm

Since QS = TR, then;

WT = $\frac{1}{2}$ TR

= $\frac{1}{2}$ x 10

WT = 5 cm

Thus, applying Pathagoras theorem to PWT;

$PT^{2}$ = $PW^{2}$ + $WT^{2}$

= $12^{2}$ + $5^{2}$

= 144 + 25

$PT^{2}$ = 169

PT = $\sqrt{169}$

= 13

PT = 13 cm

(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;

Cos θ = $\frac{adjacent}{hypotenuse}$

Cos θ = $\frac{10}{13}$

= 0.7692

θ = $Cos^{-1}$ 0.7692

= 39.7179

θ = $39.7^{o}$

Therefore, <PTR = $39.7^{o}$

4 0

3 years ago

The equation of a circle is given below.

alisha [4.7K]

Coordinates of center and radius of circle is $(h,k)=(13.40,-2.60)\\r=10$ .

<u>Step-by-step explanation:</u>

Here we have , The equation of a circle is given below.

(2 – 13.4)2 + (y + 2.6)2 = 100 or , $(x -13.4)^2 + (y + 2.6)^2 = 100$

We know that , Equation of circle is given by :

⇒ $(x-h)^+(y-k)^2 =r^2$ ...........(1)

where (h,k) are the coordinates of center of circle and r is the radius of circle . Let's simplify given equation of circle in question ;

⇒ $(x -13.4)^2 + (y + 2.6)^2 = 100$

⇒ $(x -(13.4))^2 + (y - (-2.6))^2 = 100$

⇒ $(x -(13.4))^2 + (y - (-2.6))^2 = 10^2$

Comparing this equation to (1) we get :

$(h,k)=(13.40,-2.60)\\r=10$

Therefore , Coordinates of center and radius of circle is $(h,k)=(13.40,-2.60)\\r=10$ .

4 0

3 years ago

Find the value of x and y in the parallelogram

marta [7]

Answer:

x=14

y=40

Step-by-step explanation:

A parallelogram is like a rectangle 2 parallel sides are equal.

so x+3=17 and y-2=38

x+3=17

x=17-3

x=14

y-2=38

y=38+2

y=40

8 0

3 years ago

Find the sum of the first 50 terms of the sequence -6, -2, 2, 6

monitta

Answer:

4600

Step-by-step explanation:

STEP 1: Determine type of progression

$d1 = - 2 - ( - 6) \\ d1 = 4 \\ \\ d2 = 2 - ( - 2) \\ d2 = 4$

Since d1 = d2, it is Arithmetic progression, with a common difference of 4

STEP 2: Evaluate the sum

$s = \frac{n}{2} (2a + (n - 1)d) \\ s = \frac{50}{2} (2( - 6) + (50 - 1)4) \\ s = 4600$

4 0

3 years ago

A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,

Ludmilka [50]

Answer:

x = 1 2/3 hours

Step-by-step explanation:

We can use ratios to solve

150 miles 100 miles

---------------- = ---------------

2.5 hours x hours

Using cross products

150x = 2.5*100

divide each side by 150

150x/150 = 250/150

x = 1 2/3 hours

5 0

3 years ago