QUESTION 1
Find the remaining sides of a 30° -60°-90° triangle if the shortest side is 3.
Answers
Answer:
the other sides are 6 and 3√3
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Right Triangle
We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.
The triangle is shown in the figure attached.
The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:
[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]
Solving for y:
[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]
Since:
[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]
[tex]\displaystyle y=3\sqrt{3}[/tex]
Now applying the sine to find the hypotenuse x:
[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]
x = 6
Related Questions
Test your knowledge of lines with the following:
Answers
The sum of the enterior angles of any triangle is equal to:
Answers
Answer:
is equal to 180°
I hope it's helps you
Anne bought a new pair of shoes. She got 20% off the regular price. If she paid $40, what was the regular price of the shoes before her discount?
Answers
What type of polynomial is this and what is its degree?
5b3 - 3 + 6b
Answers
Answer:
3rd degree trinomial
Step-by-step explanation:
the highest power is 3 and there are 3 terms so its a 3rd degree trinomial
How can you use ratios and rates to solve problems? Compare ratios and rates by finding equivalent ratios and rates with a common_________ Make predictions by finding a _________and multiplying by it.
Answers
Answer:
Second term
Common factor
Step-by-step explanation:
How can you use ratios and rates to solve problems? Compare ratios and rates by finding equivalent ratios and rates with a common second term. Make predictions by finding a common factor and multiplying by it.
Is the relationship between the 6s in 6,642 and 6,683 different in any way? Explain why or why not.
Answers
Answer:
In both numbers, we have the 6s in the thousandths digit and in the hundreths digit, so the relationship is not different in any way.
Step-by-step explanation:
Suppose we have a number of 4 digits, in the following format:
a,bcd
We have that:
a is the thousandths digit
b is the hundreths digit
c is the tenths digit
d is the unit digit
In this question:
In both numbers, we have the 6s in the thousandths digit and in the hundreths digit, so the relationship is not different in any way.
−6x^2−1 and x+9 help will mark brainliest.
Answers
Answer:
-6x^2+x+8
Step-by-step explanation:
Add -1 and 9 because they are the only like terms
Please help....................
Answers
Answer:
B = 31°
a = 18.9
b = 11.3
Step-by-step explanation:
✔️B = 180° - (90° + 59°) (sum of triangle)
B = 31°
✔️Use trigonometric ratio to find a:
Reference angle = 59°
Side opposite to reference angle = a
Hypotenuse = 22
Thus,
Sin 59 = a/22
Multiply both sides by 22
22*sin 59 = a
18.9 = a
a = 18.9 (nearest tenth)
✔️Use trigonometric ratio to find a:
Reference angle = B = 31°
Side opposite to reference angle = b
Hypotenuse = 22
Thus,
Sin 31 = b/22
Multiply both sides by 22
22*sin 31 = b
11.3 = b
b = 11.3 (nearest tenth)
Which expression correctly represents "nine less than the quotient of a number and four, increased by three"?
Answers
Answer:
x/4-9+3
Step-by-step explanation:
FIRST CORRECT ANSWER GETS BRAINLIEST PLS HELP
Doug earns $10.50 per hour working at a restaurant. On friday he spent 1 3/24 hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers. What were doug's earnings?
Answers
Answer:
57.75
Step-by-step explanation:
Doug did clean 1 3/4 hour.
Doug did paperwork for 2 1/3 hour
Doug did serving for 1 5/12
Add 1 3/4+ 2 1/3+1 5/12=16/12 or 5.5 hrs
In one hour Doug earns $ 10.50 .
Therefore in 5.5 hour Doug earns 5.5 $ 10.50 = $ 57.75
Hence the total which Doug earned is $ 57.75
How to get 6/9 as a decimal using division help
Answers
Please solve the question below 2
Answers
Answer:
C
Step-by-step explanation:
The Interquartile range determines how consistence Annie and Ellen are. The greater the IQR, the less the consistency, while the lesser the IQR, the more consistency.
The IQR for Annie is lesser than that of Ellen because the rectangular box is smaller for Annie's than that of Ellen.
Therefore, Annie is more consistent.
Complete the third step to solve the equation.
3 + 2x = -6x + 4
1. Isolate the variable term on one side: 3 + 8x = 4
2. Isolate the constant on the other side: 8x = 1
3. Solve for x:
Answers
Answer:
x= 1/8 or 0.125
Step-by-step explanation:
8x=1
x=1/8
Answer:
1/8 is the answer
Step-by-step explanation:
welcome have a good day
The image is triangle ABC Clara says the two triangles are congruent because their angle measures are the same to you agree explain how you know
Answers
Answer:
Step-by-step explanation:
The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.
You need at least one properly placed side to make them congruent.
Which of the following is NOT a level of measurement? nominal ratio qualitative ordinal
Answers
Answer:
Nominal.
Step-by-step explanation:
The option that is NOT a level of measurement is qualitative.
With qualitative, numbers are not assigned to the measurement.
A level of measurement classifies and relates values to variables. Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.
Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.
Thus, qualitative is not a recognized level of measurement.
Learn more about levels of measurement at https://brainly.com/question/24148016 and https://brainly.com/question/4823744
It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?
Answers
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.
If f(x) = (x^2-1)/(2x+3) then f(-4) =
a. -3
b. -(17/11)
c. -(17/5)
d. 15/11
e. 5/2
Answers
Answer:
b
Step-by-step explanation:
-4 squared = -16 -1 = -17
2(-4)= -8+3=11
thus giving you -(17/5)
3x + 4y + 4 > 0
how would i solve this?
Answers
^ put that into a graph
Note: The square is not drawn to scale.
What is the area of the square above?
Answers
Answer:
where is the square at I cannot see it
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x − 1)2 − 2
f(x) = −(x + 1)2 − 2
f(x) = (x + 1)2 – 2
f(x) = (x − 1)2 − 2
Answers
Answer:
The second answer is the correct one, f(x) = -(x + 1)² - 2
Step-by-step explanation:
We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.
We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2. Without that the parabola would be moving upward from its vertex of (-1, -2).
With those we can eliminate all answers but the second one
Answer:
Step-by-step explanation:
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x + 1)2 − 2
help please 21/r = 15/14
Answers
Answer:
19.6 Don't ask how just give brainliest
Answer:
19.6
Step-by-step explanation:
HELP ME WALLAHI HELP HELP PLS
Answers
Answer:
15
Step-by-step explanation:
Answer:
b=1.5*10^1
Step-by-step explanation:
a^2+b^2=c^2
a=20
b=?
c=25
a=4*10^2
c=6.25*10^2
a-c=2.25*10^2
b^2=2.25*10^2
take the square root if it requires it.
b=1.5*10^1
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answers
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
Given that P(B|A)=0.75 and P(A)=0.47, what is P(B AND A)? Round to three decimal places.
Answers
Answer:
0.627
Step-by-step explanation:
What’s a perfect cube
M
Answers
The seller of a watch marked up the price by 25%, and the new price is $325.00. What was the watch’s original price before the markup?
Answers
PLEASE HELP ME I HAVE A HOUR
Complete the table with the outputs that go with a given input.
Reminder that the tenths place is the digit to the right of
the decimal. 3/4 = 0.75. The 7 is in the tenths place so
name the
we put 7 as the output.
7
input
output
*
digit in the
tenths place
를
2.35
42
1
16
Answers
Answer:
If they don't have a decimal, the output will be zero.
Input = output
3/4 = 0.75 = 7
2.35 = 3
42.00 = 0
1.00 = 0
16.00 = 0
500 is 37% of what number
A 37
B 74
C 185
D 370
Answers
Answer:
C i guess
Step-by-step explanation:
PLEASE I NEED ANSWERS FAST ILL GIVE BRAINLIEST
Answers
Answer:
4. C: 98 degrees because the angles are consecutive angles
5. E: None of the above
Explanation: 102 degrees because the angles are corresponding angles
6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.
Step-by-step explanation:
Answer:
4. C, 5. E, 6. C
Step-by-step explanation:
4.
Angles x and 82 degrees are supplementary (add up to 180).
x = 180 - 82 = 98
These angles are consecutive interior angles (they're on the inside).
5.
Angles x and 102 degrees are the exact same.
These angles are corresponding angles. So it's none of these, not vertical or alternate interior.
6.
103 degrees is vertical to <b and <b is corresponding to <x.
Hope this helps!
-12 +15 + (-30) +17= (?)
Answers
Answer:
-10
Step-by-step explanation:
-12+15=3
(-30)+17=-13
3+(-13)=-10