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3 years ago

One of the legs of a right triangle measures 9 cm and the other leg measures 16 cm.

Mathematics

1 answer:

aalyn [17]3 years ago

7 0

Answer:

18.4 cm

Step-by-step explanation:

Using Pythagoras rule:

Hypotenuse =

$\sqrt{9 ^{2} + 16 ^{2} }$

= 18.4 cm

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A bag contains 3 red marbles and 4 blue marbles.

vazorg [7]

The probability of getting two marbles of the same colour is 25/49.

<h3>What is defined as the probability?</h3>

Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are.
Statistics is the study of events governed by probability.

The formula for finding the probability is;

Probability(event) = favourable outcome/total outcome

Total red marbles in the bag = 3.

Total blue marbles in the bag = 4.

Total marbles = 7.

As, the case is with replacement total marble will remain same after the drawn of first marble.

The probability that first marble be red = 3/7

The probability that first marble be red = 3/7

The combine probability getting red marble = 3/7 × 3/7 = 9/49

The probability that first marble be blue = 4/7

The probability that first marble be blue = 4/7

The combine probability getting blue marble = 4/7 × 4/7 = 16/49.

The condition for OR either red or blue marble be drawn.

Thus,

The combine probability getting marble of same colour = 9/49 + 16/49.

Therefore, the combine probability getting marble of same colour = 25/49.

To know more about the probability, here

brainly.com/question/24756209

#SPJ9

5 0

2 years ago

Which congruence statements are true? Choose all answers that are correct? A: B: C: D:

tester [92]

Answer:

Correct choices are A and C

Step-by-step explanation:

Inscribed angles property: The inscribed angles subtended by the same arc are equal.

1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).

2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).

3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.

4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.

4 0

3 years ago

Find the sum of the first 9 terms in the following geometric series. 64+32+16+

Dafna11 [192]

Answer:

The sum of the first 9 terms in the geometric series is 127.75

Step-by-step explanation:

In the geometric series, there is a constant ratio between each two consecutive numbers

Examples:

5, 10, 20, 40, 80, ………………………. (×2)

5000, 1000, 200, 40, …………………………(÷5)

General term (nth term) of a Geometric series is

a1 = a, a2 = ar, a3 = ar², a4 = ar³, ..........

$an=ar^{n-1}$ , where

a is the first term

r is the constant ratio between each two consecutive terms

The sum of the first n terms of a Geometric series is calculated by this rule

$Sn=\frac{a(1-r^{n})}{1-r}$

Let us solve the question

∵ The geometric series is 64, 32, 16, .......................

∴ a = 64

∴ r = 32 ÷ 64 = 0.5

→ We need to find the sum of the first 9 terms

∴ n = 9

→ Substitute these values on the formula of the sum above

∴ $S9=\frac{64(1-0.5^{9})}{1-0.5}$

→ use the calculator to find the answer

∴ S9 = 127.75

∴ The sum of the first 9 terms in the geometric series is 127.75

7 0

3 years ago

#3 need help asap will give brainly

qaws [65]

total surface area Stot = 688 mm2

lateral surface area Slat = 324 mm2

top surface area Stop = 182 mm2

bottom surface area Sbot = 182 mm2

3 0

3 years ago

The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference

Natali [406]

After applying formula and calculations it is round about 28.3

8 0

4 years ago

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