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3 years ago

Fraction: Decimal: Percent:

Mathematics

2 answers:

True [87]3 years ago

7 0

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Step-by-step explanation:

lara31 [8.8K]3 years ago

6 0

Answer:

Fraction: 9/10

Decimal: 0.9

Percentage: 90%

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Can anyone help????? quick!!

vazorg [7]

Answer:

C 35 hours

Explanion

5.25+4.75=10 every two days

10/2=5 hours a day

5x7=35 hours a week

Please mark brainliest

4 0

3 years ago

Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr

Degger [83]

Answer:

$A=73.8\°$

$B=8.2\°$

$c=76.3\ units$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)$

substitute the given values

$c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)$

$c^{2}=5,823.5738$

$c=76.3\ units$

step 2

Find the measure of angle A

Applying the law of sine

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}$

$sin(A)=(74)sin(98\°)/76.3$

$A=arcsin((74)sin(98\°)/76.3)$

$A=73.8\°$

step 3

Find the measure of angle B

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$73.8\°+B+98\°=180\°$

$171.8\°+B=180\°$

$B=180\°-171.8\°=8.2\°$

5 0

3 years ago

A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ba

puteri [66]

The probability that the numbers on both balls are odd numbers is $\frac{13}{50}$

Solution:

The probability of an event is given as:

$probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}$

Given that, bowl contains 25 balls numbered 1 to 25

The sample space is given as;

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 }

Therefore,

Total number of possible outcomes = 25

A ball is drawn and its number is noted. Without replacing the first ball, another ball is drawn.

Numbers on both balls are odd numbers

Let us first find the probability that first ball is odd

Favorable outcome = odd numbers

Favorable outcome = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

Number of favorable outcomes = 13

Thus, probability is given as:

$probability = \frac{13}{25}$

Now Without replacing the first ball, another ball is drawn.

Find the probability that second ball is odd number

Without replacing means that ball is not put back into bowl

So, sample space = 25 - 1 = 24

Total number of possible outcomes = 25

Number of favorable outcomes = 13 - 1 = 12

Thus, probability is given as:

$probability = \frac{12}{24}$

Probability that the numbers on both balls are odd numbers is:

Multiply both the probabilities

$\text{ probability of odd } = \frac{13}{25} \times \frac{12}{24} = \frac{13}{50}$

Thus, probability that the numbers on both balls are odd numbers is $\frac{13}{50}$

8 0

3 years ago

The length of a rectangle is three more than twice it’s width. The perimeter of the rectangle is 246 cm. Write an equation to fi

myrzilka [38]

Answer:

83 cm

Step-by-step explanation:

Let the length of the rectangle be L cm and the width be W cm.

L= 2W +3 -----(1)

Perimeter of rectangle= 2(length) +2(width)

2L +2W= 246 -----(2)

Substitute (1) into (2):

2(2W +3) +2W= 246

Expand:

4W +6 +2W= 246

Simplify:

6W +6= 246

Divide both sides by 6:

W +1= 41

W= 41 -1

W= 40

∴ width of the rectangle is 40cm.

Substitute value of W into (1):

L= 2(40).+3

L= 80 +3

L= 83

Thus, the length of the rectangle is 83 cm.

8 0

3 years ago

8. A goldsmith has 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold. How

Tatiana [17]

Answer: 65 grams

Step-by-step explanation:

If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.

That is, 85% of 130 grams.

85/100 × 130 = 110.5

Then, let X be what will be added to the above value to make 90%. So,

(110.5 + X) / ( 130 + X ) × 100 = 90

Divide both sides by 100

(110.5 + X) / ( 130 + X ) = 90/100

(110.5 + X) / ( 130 + X ) = 0.9

Cross multiply and open the bracket

110.5 + X = 117 + 0.9X

Collect the like terms

X - 0.9X = 117 - 110.5

0.1X = 6.5

Divide both sides by 0.1

X = 6.5/0.1

X = 65 grams

Therefore, the amount of pure gold that should be added is 65 grams

8 0

3 years ago