Answer:
2 and 10
Step-by-step explanation:
Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
Note: As you missed to add the graph of mentioning the complete question.
So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.
Answer:
Please check the explanation!
Step-by-step explanation:
Given the attached graph below, it is clear that the right angle triangle ABC is shown.
Here are some of the information we can get from the right angle triangle ABC such as:
The angle at C = 30°side AB = 8 unitsWe have to determine the unknown side 'x' using the trigonometric ratios
As
tan Ф = opp/adjacent
From the diagram it is clear that
Ф = 30°
opp=8
adjacent = BC = x
so
tan Ф = opp/adjacent
tan 30 = 8/x
1/√3 = 8/x
x = 8×√3
x = 13.9
Therefore, the missing length will be: x = 13.9
Find log1/4 rounded to the nearest hundredth.
Answer:
-log_4
Step-by-step explanation:
The value of log1/4 rounded to the nearest hundredth is -0.60
Given the parameter which is needed for our Calculation:
log1/4Using a calculator, the value of log1/4 is -0.602059
Rounding to the nearest hundredth, is two digits after the decimal point.
Hence, we have ;
-0.60 (since the value after 0 is less than 5)Therefore, log1/4 is -0.60
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In the equilateral triangle below, x =
and the length of each side is
units.
3x + 6
9x – 12
6x - 3
Step-by-step explanation:
3x+6+9x-12+6x-3=180
15x-9=180
x-9=12
x=21
Solve for the value of c.
Answer:
c = 11
Step-by-step explanation:
2c+8+6c-6 = 90 ( the angle measure of the two angles)
8c+2 = 90
8c = 88
c = 11
A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective units? The probability of the restaurant buying at least 3 nondefective units is
Answer:
91%
Step-by-step explanation:
we can use combinations:
Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495
Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210
Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240
Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%
Nov 27, 8:06:26 PM
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
14
10
Answer:
Submit Answer
Answer:
The area of given figure is: 179.3
Step-by-step explanation:
The figure consists of a rectangle and a semi-circle
The length of rectangle is 14 and width is 10.
The width of rectangle is also the diameter of the semi-circle.
So,
d = 10
[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]
Area of Semi-Circle:
[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]
Area of Rectangle:
[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]
The total area will be the sum of area of rectangle and the area of semi-circle
So,
[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]
Rounding off to nearest tenth
The total area is: 179.3
What is 3,350,000 in scientific notation?
Answer:
10^4 or 3.5
Step-by-step explanation:
(WHO EVER HELPS ME GETS BRAINLIEST AND EXTRA POINTSSSSS :D )
Answer:d
D. 9 and 46/180
Step-by-step explanation:
Answer:
Ok thank you for your efforts
Step-by-step explanation:
The answer is D 9 46/180
7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles
Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!
The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .
A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.
One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
We know when we add all the angles of any given triangle it is 180°
∴ a° + b° + c° = 180°
or, a° + b° = 180° - c°
Now we know that a linear pair the sum of the angles is 180°.
∴c° + f° = 180°
or, f° = 180° - c°
So from the above two equations we can say that
f° = a° + b°
Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.
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Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4
Answer:
y = 1/4 x + 4
Step-by-step explanation:
1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)
2. Put x = 4 and y = 5 in the new equation
=> 5 = (1/4)(4) + b
=> b = 4
3. So then we'll have the new equation that is parallel to y = 1/4x-4
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]
x1 and y1 are (-2, -1)
x2 and y2 are (4, 3)
[tex]\frac{3-(-1)}{4-(-2)}[/tex]
[tex]\frac{3+1}{4+2}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?
Answer:
Step-by-step explanation:
N sei
In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
diagram, the trees are 4.2 cm apart. How far apart should the actual trees
be planted?
Answer:
42 ft
Step-by-step explanation:
4.2/1=4.2
4.2*10=42 ft
PLS GIVE BRAINLIEST
Answer:
42
Step-by-step explanation:
1 cm=10ft on the diagram
so the only thing we have to do is multiply.
4.2x10=42 make sure your answer is in FT not CM
so for example
42ft. Units are important XD
find the output when x = 6
Answer:
5
Step-by-step explanation:
the points is also given on graph
(6,5)
A store buys lawnmowers from the manufacturer and marks
up the price by 40% to arrive at a retail price. Fill in the
blank: The wholesale price is times the retail price.
Answer:
0.7142857
Step-by-step explanation:
Let wholesale price = x
Retail price = 40% Markup of wholesale price
Retail price = (100 + 40)% of x
Retail price = 140% of x
Retail price = 140/100 * x
Retail price = 1.4x
Hence,
Wholesale price / retail price
x / 1.4x
= 0.7142857
Hence, wholesale price is 0.7142857 of the retailer price
There are 25 questions in a quiz, what is the minimum score you can get
Answer:
7/25
Step-by-step explanation:
From randomly guessing, it depends on how many you think you got right and how many you really don't know. You could get all 25 wrong, but more likely at random get 7 right.
Answer:
The minimum score you can get is 0.
Step-by-step explanation:
a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.
I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4
I just need help with part b and I'm struggling to do it. Please help.
Answer:
Step-by-step explanation:
b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive
Write an equation that passes through the point (1, 3) and is perpendicular to x – 2y = -8.
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer:
y=½x+5
Step-by-step explanation:
Passes through, (1,3)
Perpendicular to x-2y=-8.
Step 1
write the equation in form of y=mx+c
x-2y=8
-2y=-x+8
Dividing both sides of the equation by -2 we get;
y=-x/2+8
y=-½x+8
Thus the gradient is -½. Call it M1
Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e
M1 × M2= -1
Solve for M2
-½×M2=-1.
Dividing both sides by -½ we get
M2=-1×-2
M2=2Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8
Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).
Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.
Slope=∆x/∆y
M2=(x-1)/(y-3)
but M2 is 2
2=(x-1)/(y-3)
2/1=(x-1)/(y-3) Note: 2= 2/1
Cross multiplying we get:
2(y-3)=1(x-1)
Open the brackets
2y-6=x-1
Solve for y so as to write the equation in form of y=mx+c
2y=x-1 +6
2y=x+5
Divide both sides of the equation by 2
y=x/2+5
y=½x+5The area of a circle is 36
[tex]\pi[/tex]
cm?.
What is the radius of this circle?
what is the difference between (4,4) and (1,-3)
Answer:
7/3
Step-by-step explanation:
If I solved it correctly, you use y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
A pitcher contains 3.85 L of milk. Anna adds 0.475 Lof
chocolate syrup to make chocolate milk.
How many liters of chocolate milk are in the pitcher?
Answer:
[tex]Volume = 4.325 L[/tex]
Step-by-step explanation:
Given
[tex]Initial = 3.85L[/tex]
[tex]Additional= 0.475L[/tex]
Required
Determine the volume of the chocolate milk
Since, the mixture produces a chocolate milk, then the volume is the addition of milk in the pitcher and the chocolate syrup.
i.e.
[tex]Volume = Initial + Additional[/tex]
[tex]Volume = 3.85L + 0.475L[/tex]
[tex]Volume = 4.325 L[/tex]
Hence, there are 4.325 liters of chocolate milk in the pitcher
A building is 1ft from an 11 ft fence that surrounds the property. A worker wants to wash a window in the building 14ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decided he should place the ladder 11ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?
Answer:
L = 18,4 ft
Step-by-step explanation:
The building, the ground, and the ladder make up a right triangle, with legs:
The distance (a) between the bottom of the ladder and the building 12 ft
The distance (b) between the gound and the window 14 ft up
The hypothenuse is the length of the ladder (L)
According to Pythagoras theorem
L² = a² + b²
L = √ (12)² + (14)²
L = √ 144 + 196
L = √ 340
L = 18,4 ft
Using a table, show 60% of 80 60% of 80 is о
Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4
Answer:
C |p| = 4
Step-by-step explanation:
If a player wins 4points during each turn, then, the total points will be +4points
If the player looses 4points, total points lost will be -4points
The total number of point p the player can have will be represented as;
|p| = 4 (since is both positive and negative 4 )
Note that the nodulus of a variable will return both positive and negative value of that variable
The sum of 4 thirteens and 16 thirteens, need answer ASAP :(
Answer:
260?
Step-by-step explanation:
I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.
The sum of 4 thirteens and 16 thirteens is 260.
What is the meaning of sum?
You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.
Here, 4 thirteens = 4 × 13 = 52
16 thirteens = 16 × 13 = 208
Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260
Hence, 260 is the correct answer.
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help find the missing lengths round to nearest tenth
Answer:
x = 20.8y = 22.3Step-by-step explanation:
Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuseSOH - CAH - TOA
Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.
[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]
Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.
[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]
Rosa purchaded a sofa that was on sale for 20% off. The sofa cost $ 1850. How much does the Sofa cost?
Answer:
Step-by-step explanation:
370
What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?
i included pictures please help it closes in 30 minutes pls give exact answers
Answer:
For the first part
1.) Negative
2.)zero
3.) undefined
4.) positive
The point slope formula is y-y1=m(x-x1). It is best to use if you already know the slope and one other point on the line. It is used to find another point on the line.
The slope-intercept form is used to show a line. To use this form, you need to know the slope and the y-intercept.
The slope formula is y=mx+b. M is the slope while b is the y-intercept.