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aleksley [76]
3 years ago
8

Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Find <A:

Reference angle (θ) = A

Opposite side = 14 cm

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Substitute

Sin A = 14/20

A = sin^{-1}(\frac{14}{20})

m<A = 44° (nearest whole number)

✔️Find <C:

Reference angle (θ) = C

Adjacent side = 14 cm

Hypotenuse = 20 cm

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos C = 14/20

C = cos^{-1}(\frac{14}{20})

m<C = 46° (nearest whole number)

✔️Find AB:

Reference angle (θ) = C = 46°

Opposite side = AB

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Sin 46° = AB/20

20*Sin 46° = AB

AB = 14.4 cm (one decimal place)

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The ANOVA procedure is a statistical approach for determining whether or not the means of:______.
Mandarinka [93]

Answer:

<u>a. two or more samples are equal.</u>

<u>Step-by-step explanation:</u>

ANOVA (Analysis of Variance) is a statistical procedure that could be used to compare two or more population means are equal.

Remember, the means referred to here is the expected value or average value of a set of numbers, which is calculated by summing the values in a given set divided by the number of values. Also, put simply, the analysis of variance is a measure of how much differences exist out a data set.

7 0
3 years ago
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid.
aleksklad [387]

The answers are

1). warmer

2). higher

3). end behavior

<h3>What is Refrigerator?</h3>

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

Learn more about Refrigerator from:

brainly.com/question/13150661

#SPJ1

4 0
2 years ago
What's the system of linear equations by the solution graphed below
AfilCa [17]
D should be the correct answer. <span>Hope this helps! Brainliest would be appreciated!</span>
8 0
3 years ago
Read 2 more answers
Calcula el valor de la serie:<br> S = 12 + 22 + 32 +42 + ... 172
Doss [256]

Answer:

S = 1564

Step-by-step explanation:

S = 12 + 22 + 32 + .. + 172

= 12 + (12+10) + (12+20) + .. + (12+160)

= 10(1 + 2 + .. + 16) + 12×17

= 10×16×17/2 + 12×17

= 1360 + 204

= 1564

6 0
3 years ago
20 pts + BRAINLIEST
exis [7]
N 4
Part A
a) 7a+2a+3b-------> (7a+2a)+3b-----> 9a+3b
b) 8p+2p-7q-------> (8p+2p)-7q------> 10p-7q
c) 9a²+2a²+5a-----> (9a²+2a²)+5a---> 11a²+5a
d) 5ab+2ab-7a-----> (5ab+2ab)-7a---> 7ab-7a
e) 7+2a-a------> 7+(2a-a)-----> 7+a
f) 2a+3b+5a+2b---> (2a+5a)+(3b+2b)-----> 7a+5b
g) 6p+2q-4p+4q---> (6p-4p)+(2q+4q)----> 2p+6q
h) 9m²+7m²+5m-3m-----> (9m²+7m²)+(5m-3m)------> 16m²+2m
i) 7a²+4a-2a²+7----> (7a²-2a²)+4a+7------> 5a²+4a+7
j) 10p-3q+p-7p-----> (10p+p-7p)-3q------> 4p-3q
k) 3x²+2x-2x²+3x+x²---> (3x²-2x²+x²)+(2x+3x)-------> 2x²+5x

N 5
a) If Julie buys 4 boxes and Michelle buys 7 boxes
in total 
(4+7)*n-----> 7*n
the answer Part 5 a) is 7*n

b) (5kg+3kg)*b---------> 8*b
the answer Part 5 b) is 8*b

c) (3+4+6)*x-------> 13*x
the answer Part 5 c) is 13*x

N 6
a) L+B+L+B------> (L+L)+(B+B)-----> 2*L+2*B-----> 2*(L+B)

b)
1) L+L+L-----> 3*L
2) 5+5+5+5-----> 5*4
3) x+x+y-----> 2*x+y
4) a+b+c+c----> a+b+2*c

N 7
a) s+s+s+s+s+s+s+s------> 8*s
b) t+t+t+t-----> 4*t
c) t+t+t+t+t+t----> 6*t
d) t+t+t+s+s----> 3*t+2*s
e) t+t+t+s+s+s----> 3*t+3*s
f) 12*t+6*s
g) 10 squares+12 triangles-----> 10*s+12*t
h) n squares+m triangles-----> n*s+m*t



7 0
3 years ago
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