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antoniya [11.8K]
3 years ago
14

Need help on this thank you

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

a=7

Step-by-step explanation:

24^2+a^2=25^2

576+a^2=625

49=a^2

a=7

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How many triangles are there that satisfy the conditions a =13, b =9, A = 62°?
8_murik_8 [283]

Answer:

Step-by-step explanation:

Alright, lets get started.

Using sin Law,

\frac{sinA}{a}=\frac{sinB}{b}

Plugging the value of a, b and angle A

\frac{sin62}{13}=\frac{sinB}{9}

sinB=\frac{9*sin62}{13}

sinB=\frac{9*0.8829}{13}

sinB=0.61127

taking sin inverse on both sides

B=sin^{-1}(0.61127) =37.68

The may be another value of B that will called B' = 180-37.68=142.32

We will not consider this B' value because the um of angle B' and A will exceeds 180 degree (142.32+62=204.32)

Thats why only one triangle is possible.   :   Answer

Hope it will help :)

5 0
3 years ago
How are mixtures and solutions different?
Nadusha1986 [10]

Answer:

D point

hope this helps you

6 0
2 years ago
The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an
Genrish500 [490]

Answer:

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,  

Standard deviation(\sigma) = 7.1

Mean \overline{(y)} = 110

\alpha = 1 - confidence interval = 1 - .98 = .02

z_{\frac{\alpha}{2}} = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = \overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}

                     = 110\pm z_{.01}\frac{7.1}\sqrt{50}

                      = 110\pm 2.33\frac{7.1}\sqrt{50}

       First we take  + sign

   110 +  2.33\frac{7.1}\sqrt{50} = 112.34

now  we take  - sign

110 -  2.33\frac{7.1}\sqrt{50} = 107.66

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

               

5 0
3 years ago
Please anyone help me on this question
vazorg [7]

Answer:

a) 60

b) 0.24

c) 150

Step-by-step explanation:

a) P(green) = ⅕

Expected no. = 300 × ⅕

= 60

b) total = 300

P(purple) = 72/300

= 6/25 = 0.24

c) P(blue) = 45/300

= 3/20 = 0.15

Expected no.: 1000 × 0.15

= 150

5 0
2 years ago
A weight of 270 pounds falls
beks73 [17]

Answer:

240

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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