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DochEvi [55]
3 years ago
11

Find the value of the variable in the figure provided PLEASE HELP ASAP

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

Answer:

x=17

Step-by-step explanation:

(5x-58)=(2x-7)  ->(because of cosine-rule)

3x=51

x=17

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The figure à shown on ancient coin which was once used in china.the coin is in the shape of a circle of radius 3cm with a square
lianna [129]

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

8 0
3 years ago
Convert each mixed number to an improper fraction
Pani-rosa [81]

Answer:

43/8

Step-by-step explanation:

5 x 8 = 40

40 + 3 =43

6 0
3 years ago
Give one example of the following properties for whole number under addition​
Marina CMI [18]

Step-by-step explanation:

Objective: Recall the properties.

a) 3+1=4

b) 3+7=7+3

c) 3+(7+4)=7+(3+4)

d). 3(7+4)=(3×7)+(3×4)

5 0
3 years ago
Jason has 48 muffins, which he needs to box up into dozens. How many boxes does he need?
Olegator [25]
He needs 4 boxes :)
Dozen= 12
48 ÷12=4
8 0
3 years ago
Mary is rolling a standard six-sided die and spinning on a spinner with the number 1-8.
Readme [11.4K]

Answer:

a) Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

b) \frac{1}{48} probability of her rolling a 4 and spinning an 8.

c) \frac{1}{8} probability of her rolling an even number and spinning a number less than 3.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A) Are her dice rolls and spinning outcomes independent or dependent?

Dice and spinner are different objects, with no relation between themselves, and thus her dice rolls and spinning outcomes are independent.

B) What is the probability of her rolling a 4 and spinning an 8?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling a 4:

One side out of 6 on the dice. So

P(A) = \frac{1}{6}

Probability of spinning an 8:

One side out of 8 on the spinner. So

P(B) = \frac{1}{8}

Probability of rolling a 4 and spinning an 8:

P(A \cap B) = P(A)P(B) = \frac{1}{6} \times \frac{1}{8} = \frac{1}{48}

\frac{1}{48} probability of her rolling a 4 and spinning an 8.

C) What is the probability of her rolling an even number and spinning a number less than 3?

Since the events are independent, we find each separate probability and multiply them.

Probability of rolling an even number:

2, 4 or 6(3 sides out of 6). So

P(A) = \frac{3}{6} = \frac{1}{2}

Probability of spinning a number less than 3:

Two numbers(1 or 2) out of 8 on the spinner. So

P(B) = \frac{2}{8} = \frac{1}{4}

Probability of rolling an even number and spinning a number less than 3:

P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8}

\frac{1}{8} probability of her rolling an even number and spinning a number less than 3.

8 0
2 years ago
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