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
liq [111]
2 years ago
12

Solve for the missing side to the nearest tenth. 19 X 51

Mathematics
1 answer:
telo118 [61]2 years ago
3 0

Answer:

<em>x = 30.2 units</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 51^\circ=\frac{19}{x}

Solving for x:

\displaystyle x=\frac{19}{\cos 51^\circ}

\displaystyle x=\frac{19}{0.6293}

x = 30.2 units

You might be interested in
A random sample of 35 undergraduate students who completed two years of college were asked to take a basic mathematics test. The
disa [49]

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ±  5.09

=-2.09, 8.09  is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

5 0
3 years ago
12.
Genrish500 [490]

Answer:

I'm pretty sure the answer is D

4 0
3 years ago
Help with question 3
lys-0071 [83]
What are the questions??
7 0
3 years ago
Find m ABC (2x+14) (x+7) ​
Orlov [11]

Answer:

Last option 30°

damm sure about it

Step-by-step explanation:

value of x is 23 but value of Angle ABC will be x +7 i.e. 30

6 0
2 years ago
Read 2 more answers
Could you help me understand cross sections of three-dimenstional object its harder than it sound.​
umka21 [38]

A section, or cross-section, is a view of a 3-dimensional object from the position of a plane through the object. A section is a common method of depicting the internal arrangement of a 3-dimensional object in two dimensions. It is often used in technical drawing and is traditionally crosshatched.

Cross sections of three-dimensional objects are two-dimensional shapes of various sizes. They may be parallel to a side or base of the object or at an angle to these surfaces. A cross section may resemble the shape of the object’s side or base, or it may have a completely different shape.

5 0
2 years ago
Other questions:
  • What is the square root of 576/5?
    5·1 answer
  • If your going 70 mph how long does it take to get 70 mph
    10·1 answer
  • Nth sequence term question
    8·1 answer
  • Someone help plz!!!!!!!!
    11·1 answer
  • Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)
    11·1 answer
  • Review the table of a firefly population in a laboratory.
    14·2 answers
  • What is 10+2-2+10000000-10
    12·2 answers
  • Slope -1/4, passes through (12,-4)​
    10·1 answer
  • Solve the screenshot
    8·1 answer
  • If the scale factor from shape A to B is 5. What is the scale factor from shape B to A?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!