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Ugo [173]
2 years ago
14

Which trig ratio should you use to find the given side?

Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

Answer:

D. cosine

Step-by-step explanation:

As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.

In a right angle triangle, there is a formula as following:

<em>cosine (of an acute angle) = length of  adjacent side/ length of hypotenuse</em>

In the figure, the point of angle B and length of hypotenuse AB are given.

We have to calculate x - length of the given side. As BC is the adjacent side of angle B

=> we can use the above formula to calculate x

So that we can use cosine

You might be interested in
Angle LON is a straight angle<br> Angle MON= 3x+89<br> Angle LOM=8x+58<br> Find Angle MON:
tresset_1 [31]

Answer:

Angle MON is 98°

Step-by-step explanation:

The measure of the straight angle is 180°

∵ ∠LON is a straight angle

∴ m∠LON = 180°

∵ Ray OM intersects line LN at O

∴ OM divides ∠LON into two angles ∠LOM and ∠MON

∴ m∠LOM + m∠MON = m∠LON

- Substitute m∠LON by 180°

∴ m∠LOM + m∠MON = 180°

∵ m∠LOM = 8 x + 58

∵ m∠MON = 3 x + 89

- Substitute them in the equation above

∴ (8x + 58) + (3 x + 89) = 180°

- Add the like terms in the left hand side

∴ (8 x + 3 x) + (58 + 89) = 180°

∴ 11 x + 147 = 180

- Subtract 147 from both sides

∴ 11 x = 33

- Divide both sides by 11

∴ x = 3

Substitute the value of x in the measure of angle MON to find it

∵ m∠MON = 3(3) + 89

∴ m∠MON = 9 + 89

∴ m∠MON = 98°

6 0
3 years ago
Help me pleaseeeeeeeeeeeee
marta [7]

Answer:

55,30

Step-by-step explanation:

just did it

7 0
2 years ago
How do you solve, 5 ^3x-4/25=625​
gtnhenbr [62]

Step-by-step explanation:

(5^3x*25-4)/25=625

125^3x-4=625*25

5^x-4=15625

5^x=15625-4

5^x=15621 I can't solved by me if there is only 15625 then the answer will be 6 because 5^6=15625 but there is -4 too

3 0
2 years ago
Given the data: 0.90 1.42 1.30 1.55 1.63 1.32 1.35 1.47 1.95 1.66 1.96 1.47 1.92 1.35 1.05 1.85 1.74 1.65 1.78 1.71 2.29 1.82 2.
yKpoI14uk [10]

Answer:

Step-by-step explanation:

a) Mean means the average we add all the values in data and divide it by the total number

Mean= 0.9+1.42+1.3+1.55+1.63+1.32+1.35+1.47+1.95+1.66+1.96+1.47+1.92+1.35+1.05+1.8<u>5+1.74+1.65+1.78+1.71+2.29+1.82+2.06+2.14+1.27                                                   </u>

                                                              25

Mean= <u>40.61</u>

             25

Mean= 1.624

Place the values in correct order starting from least

0.9,1.05,1.27,1.30,1.32,1.35,1.35,1.42,1.47,1.47,1.55,1.63,1.65,1.66,1.71,1.74,1.78,1.82,1.85,1.92,1.95,1.96,2.06,2.14,2.29

Median = 1.65 ( this is the middle value odf the data given)

Mode = 1.35 and 1.47

Variance =

in order to find the variance we subtract each data value with mean and square it and then divide all with the total sample size

σ2 = (0.9-1.624)²+ (1.42-1.624)²+(1.3-1.624)²+(1.55-1.624)²+(1.63-1.624)²+(1.32-1.624)²+(1.35-1.624)²+(1.47-1.624)²+(1.95-1.624)²+(1.66-1.624)²+(1.96-1.624)²+(1.47-1.624)²+(1.92-1.624)²+(1.35-1.624)²+(1.05-1.624)²+(1.85-1.624)²+(1.74-1.624)²+(1.65-1.624)²+(1.78-1.624)²+(1.71-1.624)²+(2.29-1.624)²+(1.82-<u>1.624)²+(2.06-1.624)²+(2.14-1.624)²+(1.27-1.624)²                                             </u>

                                         25

σ2=<u> 2.764</u>

         25

σ2 = 0.1105

Standard Deviation = √σ2

σ -= √0.1105

σ = 0.332

Coefficient of variance = Here we divide standard deviation by mean and multiply by 100

Coefficient of Variance = (0.332÷ 1.624) × 100

Coefficient of Variance = 20.47

b)

7 0
3 years ago
Help me with my math question im gonna give you 10 points just to answer that thankkkkkkkkkkkkkkkkkk you
Natalka [10]
Which one you need help with
3 0
3 years ago
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