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Mama L [17]
4 years ago
11

A right triangle has a leg b of length 3 and a hypotenuse of length 14. what is the length of the othere leg, a? round to the ne

arest tenths if necessary
Mathematics
1 answer:
Leviafan [203]4 years ago
3 0
----------------------------
Formula:
----------------------------
a² + b² = c²

----------------------------
Find the missing leg:
----------------------------
3² + b² = 14²
b² = 14² - 3²
b² = 187
b = √187
b = 13.7 (nearest tenth)

----------------------------
Answer: 13.7 
----------------------------
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Question 7 Evaluate 2y + 3(y - 5) when y = 10 57 35
Ray Of Light [21]

Answer:

Sustitute the y-values into the equation.

For y=10,

2(10) + 3 (10 - 5)

20 + 3(5)

20+15

35

For y=57,

2(57) + 3 (57 - 5)

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For y=35

2(35) + 3 (35 - 5)

70 + 3(30)

70 + 90

160

:)

6 0
3 years ago
In △ABC, m∠A=27 °, c=14 , and m∠B=25 °. Find a to the nearest tenth.
Gnesinka [82]

Answer:

a = 8.1

Step-by-step explanation:

Firstly, since we have a triangle, automatically, we have 3 interior angles

Mathematically the sum of these angles = 180

A + B + C = 180

27 + 25 + C = 180

52 + C = 180

C = 180-52

C = 128

We use the sine rule to find a

The sine rule posits that the ratio of a side to the sine of the angle facing that side is equal for all the sides of a triangle

Thus, mathematically according to the sine rule;

c/Sin C = a/Sin A

14/sin 128 = a/sin 27

a = 14sin27/sin 128 = 8.0657

which to the nearest tenth is 8.1

3 0
4 years ago
American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 53.0% of American
FrozenT [24]

Solution :

a). According to the reports, 53.0% of the American households still have a landline phone service. Out of which 8 households are randomly called.

Here, the landline phone service is p = 53.0%

                                                           n = 8

Therefore, q = 1 - p

                     = 1 - 0.53

                     = 0.47

here we use the binomial distance because the probability of having the landline phone service is constant and the number of the trial are finite.

b). Let x be the number of household in the sample group having landline phone service.

  Probability that none of the household in the sample group have a landline service is

= P( x = 0)

$=^8C_0 (0.53)^0(0.47)^8$

= 0.002 (using the binomial calculation )

c). Probability that exactly 5 of the household in the sample have a landline service is given by :

 P(x = 5)

$=^8C_5 (0.53)^5(0.47)^3$

= 0.24

8 0
3 years ago
What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km​
aleksandrvk [35]

Answer:

105.5664, or 93 + 4 pi

Step-by-step explanation:

84 + 9 + 4 pi

equals 105.5664, or 93 + 4 pi

Break the shape into common shapes.

12 times 7 (rectangle) = 84

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7 0
3 years ago
francis made 119 ounces of punch. about how much punch should she put in each glass if she wants to make 18 glasses.
yawa3891 [41]

Answer:

6.6 oz

Step-by-step explanation:

119/18=6.6 oz

5 0
4 years ago
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