1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleks [24]
3 years ago
12

Nd the measure of angle m

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

1). m° = 56.1°

2). X= 91.8 mm

Step-by-step explanation:

For angle m°

Using the sine rule

15.1/sin m= 18.2/sin 90

But Sin 90= 1

15.1/sin m= 18.2

15.1= 18.2*sin m

Sin m = 15.1/18.2

Sin m=0.8297

m= sin^-1(0.8297)

m= 56.06°

m° = 56.1°

For length of side x

Using sine rule

X/sin 61= 105/sin 90

But sin 90= 1

X/sin 61= 105

X = sin61 *105

X=0.8746*105

X= 91.833 mm

X= 91.8 mm

You might be interested in
What is the y- intercept of the function described in the table x: 1,2,3,4 y: 8,6,4,2
weeeeeb [17]

Answer:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x                 y

1                 8

2                6

3                4

4                2

Taking any two points to find the slope

  • (1, 8)
  • (2, 6)

The slope between (1, 8) and (2, 6) is:

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)

m=\frac{6-8}{2-1}

m=-2

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

y=mx+b

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

6 0
3 years ago
Read 2 more answers
Movies at the rental store are $3.75 each. Snacks and drinks are $1.89 each. Round each amount to the nearest dollar to estimate
hodyreva [135]

Answer:

$14.00

Step-by-step explanation:

First you round 3.75 to 4.00 because 7 is greater than 5 so it would turn the 3 to 4 than add the zeros it's 4.00. Second You multiply by three so 4.00 × 3 you will get 12.00. Than you round 1.89 to 2.00 because 8 is greater than 5 so it would turn to the 1 to the 2 than add the zeros it's 2.00. Finally you add them together and get $14.00

4 0
2 years ago
How many 'words' can be made from the name ESTABROK with no restrictions
Bumek [7]

The number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

<h3>How to determine the number of ways</h3>

Given the word:

ESTABROK

Then n = 8

p = 6

The formula for permutation without restrictions

P = n! ( n - p + 1)!

P = 8! ( 8 - 6 + 1) !

P = 8! (8 - 7)!

P = 8! (1)!

P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1

P = 40, 320 ways

Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

Learn more about permutation here:

brainly.com/question/4658834

#SPJ1

6 0
1 year ago
The bearing of Y from X is 63
zimovet [89]

Answer:

  • 117°

Step-by-step explanation:

<u>As per diagram:</u>

  • ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
  • m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles

<u>Find the measure of ∠YXZ:</u>

  • m∠YXZ = 180° - 2*63° = 54°

<u>Find the bearing of Z from X:</u>

  • m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
8 0
3 years ago
Please help this is due in 10 mins
solong [7]

Answer:

138.80

Step-by-step explanation:

I took 149.99 times 15% then times that by the tax rate to get your final answer.

8 0
3 years ago
Other questions:
  • Find two consecutive odd integers such that their product is 71 more than 3 times their sum.
    14·1 answer
  • How is 0.55 you're answer for 4.4 divided by 8?
    5·1 answer
  • Laura was in India for 3 years now she live in in U.S how many months did Laura live in India
    9·1 answer
  • after every eighth visit to a restaurant you receive a free beverage.after every tenth visit you receive a free appetizer. if yo
    10·1 answer
  • At Joe's Clown Car Rental Agency, renting a car costs $45 plus $0.75 for every mile it is driven. What is an equation that can b
    15·1 answer
  • (Another Easy Question) Claire has 5 markers and Bob has 3, what is the ratio of Bob’s markers to Claire’s markers? Marking Brai
    14·1 answer
  • What is the slope of a line with endpoints (-11,5) and (5,-7)
    14·2 answers
  • Please help me with the correct answer
    11·1 answer
  • Are (99 – 11 + 10g) - (12 - 119 + 13) and -3(-10g + 12) equivalent expressions? Explain.
    5·1 answer
  • A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 55 per foot and t
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!