Answer:
sinθ = -0.554
tanθ = -0.667
secθ = 1.203
Step-by-step explanation:
Consider the point (3, -2)
The value of x is positive and the value of y is negative.
It means the the terminal sides of angle lies in 4rth quadrant, such that:
Base = 3
Perpendicular = 2
Hypotenuse² = 2² + 3²
Hypotenuse = 3.61
sinθ = Perpendicular /Hypotenuse
sinθ = 2/3.61
As sine is negative in 4rth quadrant
sinθ = - (2/3.61)
sinθ = -0.554
tanθ = Perpendicular/ Base
tanθ = 2/3
tanθ = 0.667
As tan is negative in 4rth quadrant
tanθ = -0.667
secθ = Hypotenuse/Base
secθ = 3.61/3
secθ = 1.203
secant is positive in 4rth quadrant
Translate the phrase into an algebraic expression.
4 more than x
Answer: x + 4
Step-by-step explanation: The word "more than" means addition.
What's tricky about this word is that it switches the order around.
For example, 4 more than x should not be thought of as 4 + x.
Instead, 4 more than x should be thought of as x + 4.
A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
Answer:
In the given question, it is given that A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
The ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.
And we have to find the value of tan B.
And tangent of any angle is equal to the ratio of vertical by horizontal. That is
tan B= 8/15
Step-by-step explanation:
Find the missing length indicated.
Answer:
x=65
Step-by-step explanation:
h²=25*(169-25)=25*144=3600
x²=h²+25²=3600+625=4225
x=√4225
x=65
Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits
and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.
Outcome/Tally
Gerbil chooses left branch = 7 Tallys
Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?
Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?
Part C
Does the experimental probability equal the theoretical probability? Explain.
Answer:
Part A: 7/10
Part B: 1/2
Part C: look below*
Step-by-step explanation:
Part A:
The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times
Part B:
Theoretically the gerbil has a 1/2 of going either left or right since there are two options.
Part C:
The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.
Question is attached. Please answer it!
Answer:
95 meters
Step-by-step explanation:
The perimeter of the scale garden is 6 + 8 + 3 + 5 + 3 + 13 = 38 (you can find the missing side lengths by doing 6 - 3 and 13 - 8). Since 1 cm is 2.5 meters, 38 cm is 38 * 2.5 = 95 meters.
which point is a solution to the solution≤8x-3
Answer:
-24
Step-by-step explanation:
8×-3=-24
hope you understood
Find the measure of each exterior angle of a regular pentagon
Answer:
360
Step-by-step explanation:
The sum of the exterior angles of a regular polygon, irrespective of the number of sides is 360 degrees. If N is the number of sides, each exterior angle will be 360/N degrees. In the present case there 5 sides in a regular pentagon, hence each exterior = 360/5 or 72 degrees.
Answer: 72 degrees
Step-by-step explanation:
In the proportionm 1/Z 4/5/8 which number is equal to Z in the proportion?
Answer:
Z = 8
Step-by-step explanation:
4 5/8 = 37/8
1/Z = 37/8
So..
Z = 8
Hope this helps! :)
p/3=5 please i need help on this one as well
Answer:
if p/5=3 then the answer is p=15
Step-by-step explanation:
the first step is to isolate the variable and this is done by multiplying both sides by 5
the result of this is p= 5 times 3 which equals 15
Which point on the number line could represent Negative 2 and one-fourth? A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is between negative 2 and negative 1, point D is between negative 1 and 0.
Answer:
It's B
Step-by-step explanation:
A department store wants to know what motivated customers to visit their store on that particular day. Since 80
percent of the customers are male, researchers have decided to collect a __ by ensuring that 8 out of every 10
survey participants are male.
Answer:
sample.
Step-by-step explanation:
It is given that a department store wants to know what motivated customers to visit their store on that particular day.
We need to fill the blank.
Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10 survey participants are male.
For survey, researchers need small part of whole data, i.e., sample.
So, the required answer is "sample".
Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10 survey participants are male.
Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.
What is a Sampling Error?A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.
To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.
Learn more about sampling errors at:
https://brainly.com/question/5137866
Trying to find the missing segment to the triangle in the attached image.
Answer:
44 units length
Step-by-step explanation:
The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:
20/10 = x/22
20/10*22 = x
44 = x
PROBABILITY. 22 chocolate bars total. 3 Mr.Good bars, 7 Krackel bars, and 12 Hershey’s bars. You are going to grab 7 bars WITHOUT replacement. Express answers in decimal form, round to at least 4 decimal places. 1: P(3 Mr.Good bars and 4 krackel bars)? 2:P( 3 Krackel bars and 4 Hershey’s bars)? 3: P(none of the 7 are Hershey bars)?
Answer:
.7
Step-by-step explanation:
9(c + 59) = –54
c = _____
━━━━━━━☆☆━━━━━━━
▹ Answer
c = -65
▹ Step-by-Step Explanation
9(c + 59) = -54
Divide both sides
c + 59 = -6
Move the constant → right
c = -6 - 59
Calculate
c = -65
Final Answer
c = -65
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
I need help with this question can someone please help me
Answer:
y+1=2(x-1)
Step-by-step explanation:
Point-slope form is expressed as y-y₁=m(x-x₁)
m being the slope, simply plugin the points they gave you and flip signs as needed.
Answer: the answer is c counting on how diagle the line is.
Step-by-step explanation:
32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is
A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x
Answer:
B. a^2x
Step-by-step explanation:
squaring a^x gives. (a^x)²
by applying the rules of indices, ^2 multiplies x therefore making it a^2x
What is the value of a?
Answer:
6sqrt(2)
Step-by-step explanation:
Use the right angle altitude theorem.
4/a = a/18
a^2 = 4 * 18
a^2 = 2 * 36
a = 6sqrt(2)
the 15th term of the linear sequence:
22, 18, 14, 10, 6
Answer:
The 15th term is - 34Step-by-step explanation:
For an nth term in an arithmetic sequence
U(n) = a + ( n - 1)d
where n is the number of terms
a is the first term
d is the common difference
From the above sequence
a = 22
d = 18 - 22 = 4
We are finding the 15th term so
n = 15
U(15) = 22 + (15-1)-4
= 22 + 14(-4)
= 22 - 56
The final answer is
- 34Hope this helps you.
Answer:
last term is -34
Step-by-step explanation:
if one inch represents 14 feet how many inches would you use to make a scale drawing of a building that is 199 feet
Answer:
14.2 inches
Step-by-step explanation:
Given
1 inch = 14 feet
Required
Find the equivalent of 199 feet
Write out the given expression;
1 inch = 14 feet
Divide both sides by 14
[tex]\frac{1\ inch}{14} = \frac{14\ feet}{14}[/tex]
[tex]\frac{1\ inch}{14} = 1\ foot[/tex]
[tex]1 foot = \frac{1}{14}inch[/tex]
Let x represent the equivalent of 199 feet in inches;
Such that:
[tex]x = 199\ feet[/tex]
[tex]x = 199 * 1 foot[/tex]
Substitute [tex]1 foot = \frac{1}{14}inch[/tex]
[tex]x = 199 * 1 foot[/tex] becomes
[tex]x = 199 * \frac{1}{14} inch[/tex]
[tex]x = \frac{199}{14} inch[/tex]
[tex]x = 14.2142857143 inch[/tex]
x = 14.2 inches (Approximated)
Zack's science class is learning about ways to find the volume of irregularly-shaped objects. For his first experiment, Zack finds that a small marble statue weighs 1.3 kilograms. Then, he uses its density to find its volume in liters. If the density of marble is approximately 2.6 grams per milliliter, what is the volume of Zack's statue?
Answer:
The volume of the small marble is 500ml or 0.5 liters
Step-by-step explanation:
Mass of the small marble = 1.3kg
Convert it into grams
Mass of the small marble = 1300 grams
Density of the small marble = 2.6 grams/ml
Volume of the small marble = ?
The formula for density is given as:
Density = Mass / Volume
Where we need to find the volume, so rearrange the equation with respect to Volume.
Volume = Mass / Density
Volume = 1300 (grams) / 2.6 (grams/ml)
Volume = 500 ml
Thus, the volume of the small marble is 500ml or 0.5 liters
Need help finding the missing length to the attached triangle.
Answer:
1500
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]
Answer:
1500
Step-by-step explanation:
Use the right triangle altitude theorem.
x/900 = 2500/x
x^2 = 900 * 2500
x = sqrt(900 * 2500)
x = 30 * 50
x = 1500
Adrianne jogs for 15 minutes at 6 miles per hour. How many miles does she jog?
Answer: 3.2
Step-by-step explanation:
Answer:
1.5 miles
Step-by-step explanation:
Step 1: Convert 6 miles per hour to miles per minutes
6 mph = 0.1 mpm
Step 2: Multiply 15 and 0.1 mph
15(1/10) = 1.5
Use two unit multipliers to convert 50 square centimeters to square meters.
Answer:
0.005 square meters
Step-by-step explanation:
To convert a square centimeter to a square meter, divide the value by 10,000.
[tex]50/10000=0.005[/tex]
50 square centimeters is 0.005 square meters.
I need help with number 3
Answer:
AB = 54
Step-by-step explanation:
AB = AC
4x+6 = 5x-6
Subtract 4x from each side
4x+6-4x = 5x-6-4x
6 = x-6
Add 6 to each side
6+6 =x
12 =x
We want to find AB
AB =4x+6
4(12)+6
48+6
54
Answer:
AB=54
Step-by-step explanation:
in Δs ABD and ACD
BD=CD (given)
∠ADB=∠ADC (each right angle)
AD=AD (common)
∴ ΔABD≅ΔACD
so AB=AC
4x+6=5x-6
6+6=5x-4x
x=12
AB=4×12+6=48+6=54
A 40-foot tree casts a 12-foot shadow. How long is the shadow of a 5-foot-tall person?
A) 5 feet
B) 2 feet
C) 0.67 feet
D) 1.5 feet
Answer:
[tex]\text{D) }1.5\text{ feet}\\[/tex]
Step-by-step explanation:
We can use proportionality to solve this.
The height of the tree can act as the height of a right angled triangle, where the shadow is the base. The angle between the end of the shadow and the top of the object will be the same as the sun will shine from the same relative angle in the sky.
Therefore :
[tex]\frac{\text{Height of tree}}{\text{Height of person}}=\text{Scale factor}=\frac{\text{Length of tree's shadow}}{\text{Length of person's shadow}}[/tex]
[tex]\frac{40}{5}=8\\\frac{12}{x}=8\\\text{Where x is the length of the person's shadow}\\12=8x\\x=1.5[/tex]
[tex]\frac{12}{x}=8[/tex]
Solve for b. -11b+7 = 40−11b+7=40
Answer:
This equation is false
Step-by-step explanation:
Well,
-11b + 7 = 4 - 11b + 7 = 40
combine like terms
-11b + 7 = -11b + 3 = 40
Communicative property
-3 to both sides
-11b + 4 = -11b = 40
-4 to both sides
-11b = -11b = 36
+11b to both sides
0 = 36
0 is not equal to 36 meaning that this equation is false.
Thus,
the equation given is false.
Hope this helps :)
Answer:
b= -3
Step-by-step explanation:
So uh it was not -11b+7 = 40−11b+7=40
it was -11b+7 = 40 the equasion was probably just copy pasted twice.
Sorry im late i just got this question on khan acadamey
hope this helps
PLSSSSSSSS HELP (2 + 7i) - (6 + 8i) + (10 - 10i)
Answer:
6-11i
Step-by-step explanation:
(2 + 7i) - (6 + 8i) + (10 - 10i)
Distribute the minus sign
(2 + 7i) - 6 - 8i + (10 - 10i)
Combine like terms
2-6 +10 +7i-8i-10i
6 -11i
solve x²+5x+6=0 by completing the square
Answer:
x = -2
x= -3
Step-by-step explanation:
x 2+5x+6=0
To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=5
ab=6
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.
1,6
2,3
Calculate the sum for each pair.
1+6=7
2+3=5
The solution is the pair that gives sum 5.
a=2
b=3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x+2)(x+3)
To find equation solutions, solve x+2=0 and x+3=0.
x=−2
x=−3
The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.
Answer:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Step-by-step explanation:
Please, always share the instructions with every question you post. I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x. Note that there must be 5 such terms.
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
Multiplying this out, we get:
f(x) = (x + 2)(x^2 - 1)(x - 3), or
f(x) = (x^3 - x + 2x^2 - 2)(x - 3), or:
f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:
f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6
Combining like terms, we get:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4. As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.
Which of the two could be side lengths of the same triangle?
A. 12 cm, 17 cm, 25 cm
or
B. 8 yd, 13 yd, 17 yd.
Answer:
Step-by-step explanation:
it’s A 12 cm, 17cm, 25 cm
Answer:
I think both
A. 25 yd, 12 yd, 17 yd
B . 8yd, 13 yd, 17 yd
Step-by-step explanation:
12<17+25 8<13+17
17<12+25 17<13+8
25<17+12 13<17+8
but
12>25-17 and
25>17-12 8>17-13
17>25-12 17>13-8
13>17-8