Step-by-step explanation:
Let the smallest angle be x
2nd angle = 2x
3rd angle = 9x
By angle sum property
x+2x+9x=180°
x=180/12
x=15
Three angles are 15, 30 and 135
3. The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of 3.5 picomoles per liter. Find the probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter.
Answer: 0.8956
Step-by-step explanation:
Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.
Let X be the daily surface concentration of carbonyl sulfide.
The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]
Hence, the required probability = 0.8956
In triangle QRS the measure of right angle S is SQ=90 degrees Sq=47 feet and Rs=70 feet. Find the measure of angle R to the nearest tenth of a degree
Answer:
x=33.9°
Step-by-step explanation:
Trigonometric Ratios
In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.
There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.
The current question gives us two sides in a right triangle and requires us to calculate the angle x.
The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.
We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.
The tangent of an angle is defined as:
[tex]\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\[/tex]
Use the given values:
[tex]\displaystyle \tan x=\frac{47}{70}=0.6714[/tex]
Using a calculator (in degree mode), we calculate the angle:
[tex]x=\tan^{-1}(0.6714)=33.9^\circ[/tex]
x=33.9°
MY TEACHER TEXTED ME THIS IDK WHAT TO EVEN DO:( help i luv u
Answer:
yea
same
Step-by-step explanation:
Answer:
well i hope you can figure it out
Step-by-step explanation:
Greg has a table that is 3.75 meters in length. He wants to make a tablecloth that is 20 centimeters longer on each end than the table. What steps should Greg use to determine the correct number of centimeters to make the tablecloth
Answer:
Use (3.75×100/1) and then add 40.
Step-by-step explanation:
I hope you pass. Can you mark me the Brainliest?
a cell phone company charged 49.95 per month plus 0.05 per call minute i used 200 call minutes last month proportional or not proportional
Answer:
Not sure what you are asking here but the answer is $59.95
Step-by-step explanation:
$49.95 + (10 * 0.05)
PLZ HELP WILL VOTE BRAINIEST
x + 1
Combine like terms, so terms with x go together and terms without an x go together
So 2x - x = x
3 - 2 = 1
That's as simplified as it can be
Brainiest please
In 9.3 x 10-8 the exponent is a negative number. Which of these describes the value of a number in scientific notation that includes a negative exponent
Answer:
0.000000093
Step-by-step explanation:
Theres seven zeros after the decimal
Find:1/15÷4/120
Select one:
A. 4
B. 1
C. 3
D. 2
Answer:
D) 2
Step-by-step explanation:
1/15×120/4
1/15×30
1×2
2
Which statement is true?(n+4)-7=18
Answer:
21
Step-by-step explanation:
(21 plus 4)=25
25 minus 7=18
~~~How I got 21~~~
I find the number that will be reasonable like 20 and work my way up
~~~Hope this helps~~~
Answer:
[tex](n+4)-7=18 \\ n = 18 + 7 - 4 \\ n = 21.[/tex]
If an automobile slows from 26MS to 18 MS in a period of 4.0 S what was the average acceleration
(x7) - 3 = 4
Find what X = ?
Answer:
1
Step-by-step explanation:
add 3 to 4
(1x7)= 7
Which of these statements is not one of Euclid axioms
Answer:
Things which are equal to the same thing are also equal to one another. If equals be added to equals, the wholes are equal. If equals be subtracted from equals, the remainders are equal. Things which coincide with one another are equal to one another.
What are the measures of angle A,B,C and D?
David is building a toy box. Its length will be 4 feet, its width will be 2.5 feet and its height will be 2 feet. What will the volume of the toy box be?
Answer:
the answer to this would be this 20 ft
Step-by-step explanation:
you would this by taking 4 times 2.5 times 2 and you would get the answer of 20 ft for the volume.
what is the volume of 2 G piece of gold? (Best answers gives brainlist answers)
Answer:
2 grams
Step-by-step explanation:
2 grams of gold is equivalent to 2 grams
Who here got zoom and can do math?
lol no use meeting. But zoom is good too.
Three minus twice a number x is greater than fifty-five. Write an inequality to represent this statement.
Answer:
2x - 3 > 55
Step-by-step explanation:
the answer is above
what is 6 1/4 divided by 6 1/2?
5x-25=-10
Please HELP
= 5x - 25 = -10
= 5x = -10 + 25 ( transposing-25 from LHS to RHS changes -25 to +25 )
= 5x = 15
= x = 15 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 l
= x = 3
Let us check whether or not we have found out the correct value by keeping 3 in the place of x :
= 5 × 3 - 25 = -10
= 15 - 25 = -10
= -10 = -10
LHS = RHS
We have found out the correct value of x .
Therefore x = 3 .
What equation results from completing the square and then factoring?
x2 + 2x = 9
Answer: (x+1)^2=10
Step-by-step explanation:
What percent do you actually pay if 40% discount
Answer:
60%
Step-by-step explanation:
A 40% discount means that 40% will be off, meaning you won't have to pay 40% of the original price. Therefore, you only pay 60% of the original price (100% - 40% = 60%).
SOMEONE PLS HELP ME W THIS QUESTION ASAP I’LL MARK BRAINLIEST
Answer:
i think it is A the first option
Step-by-step explanation:
Which decimal number is equal to 318 ? 0.167 0.16¯ 0.16¯¯¯¯ 0.167¯¯¯¯¯
The fraction 3/18 is equal to the decimal number [tex]\hat{0.167}[/tex]
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
Division is one of the four basic operations of arithmetic. Division is the act of dividing, or separating, a whole into pieces.
Given the expression:
3/18
Dividing gives:
= 0.16666666667
= [tex]\hat{0.167}[/tex]
3/18 is equal to [tex]\hat{0.167}[/tex]
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Solve the system by substitution.
y=-x^2+2x+10
y=x+4
Answer:
x=3, y=7
x=-2, y=2
Step-by-step explanation:
System of Equations
We have the following equations:
[tex]y=-x^2+2x+10[/tex]
[tex]y=x+4[/tex]
We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:
[tex]x+4=-x^2+2x+10[/tex]
Since this is a quadratic equation, it's convenient to have all terms to one side:
[tex]x+4+x^2-2x-10=0[/tex]
Simplifying and reordering:
[tex]x^2-x-6=0[/tex]
Factoring:
[tex](x-3)(x+2)=0[/tex]
Solving:
x=3, x=-2
Those yield to two solutions for y:
y=x+4
y=7, y=2
The solutions of the system are:
x=3, y=7
x=-2, y=2
6x-2x+11= -5
xs are unknown, not multiply.
Step-by-step explanation:
6x-2x+11=-5. 6x-2x=-5-11. 4x=16 4x/4=16/4. x=4
A new dining room is being built in Carol’s home. In a scale drawing of the room, 1 inch represents LaTeX: 2\frac{1}{2}212feet. A sketch of the drawing is shown
Answer/Step-by-step explanation:
Area of the dinning room table:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room table on the sketch = 2 in
Actual length of dinning room table = 2 × 2½ = 5 ft
Width of the dinning room table on the sketch = 1 in
Actual width of dinning room table = 1 × 2½ = 2.5 ft
Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²
Area of the dinning room:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room on the sketch = 7⅕ in
Actual length of dinning room = 7⅕ × 2½ = 18 ft
Width of the dinning room on the sketch = 4⅘ in
Actual width of dinning room = 4⅘ × 2½ = 12 ft
Area of dinning room = length × width = 18 × 12 = 216 ft²
Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table
= 216 - 12.5 = 203.5 ft²
what is the mean (average) of 2,4,5,6,8
Answer:
5
Step-by-step explanation:
In order to figure out average, we need to add up all the numbers. So adding 2, 4, 5, 6, and 8 gives us 25. We now divide that total by the total number of terms we used to reach 25. So since we had 5 numbers, we divide 25 by 5 to get an average of 5.
Answer:
5.
Step-by-step explanation:
To find mean. you just add all the numbers up and divide by the number of numbers (5).
2+4+5+6+8=25
25/5=5
Let x be Bob's age. Heather is 5 years younger than Bob. Write an expression for Heather's age.
Answer:
x-5
Step-by-step explanation:
since we don't know bob's age, x will represent it. we know that heather is 5 years YOUNGER than bob.
x (bob's age) - 5 (because that's how many years heather is younger than bob is)
hope this helps :D
There is a sidewalk of width x around a rectangular garden. If the garden measures twenty-feet by thirty-feet, then the combined area of the garden and sidewalk is
Answer:
Area = 200 + 50 + x
Step-by-step explanation:
Given
Length = 20
Width = 30
Side Walk = x
Required
Determine the area.
To do this we need to get the new worth and length by adding the length of the sidewalk.
This gives:
Length = 20 + x.
Width = 30 + x
So, area becomes.
Area = (20 + x)(30 + x)
Area = 600 + 20x + 30x + x²
Area = 200 + 50 + x²
which expression is equivalent to -1/2(3- 2/5)
A. -3/2 - 1/5
B. -3/2 + 1/5
C. -3 1/2 - 1/5
D. -3 1/2 + 1/5
Answer: -3 1/2 - 1/5