Answer:
x ≈ 25.5°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify Variables
Angle θ = x°
Opposite Leg = 10
Hypotenuse = 21
Step 2: Solve for x
Substitute [tangent]: tanx° = 10/21Inverse trig: x° = tan⁻¹(10/21)Evaluate: x = 25.4633°Round: x ≈ 25.5°NEED HELP ASAP PLZZZZZZZZZZZZZZZ
Hal works in a toll booth. About 20 to 23 cars pass through Hal's booth every 26 minutes. Which is a reasonable estimate for the number of cars that pass through Hal's booth in 156 minutes?
A.
9 cars
B.
129 cars
C.
22 cars
D.
559 cars
Answer: I would say B would be the answer Because....
Step-by-step explanation:
if about 20 to 23 cars pass through every 26 minutes, and haw many cars pass by in 156 minutes...
26 x 6 = 156
6 x 20 = 120
6 x 21 = 126
6 x 22 = 132
6x 23 = 138
all thoes numbers are around B.
Can somebody help me with this question. Will mark brainliest.
Answer:
The answer is the third option! :)
Step-by-step explanation:
Hope you do great:)
y=4+3x function rule
a function ,f, is defined by the set {(2,3), (4,7), (-1,5)}. if f is reflected in the line y=x, which point will be in the reflection?
a. (5,-1) b. (-5,1) c. (1,-5) d. (-1,5)
Answer:
the answer is d
Step-by-step explanation:
NUMBER 2 AND 3. GIVING BRAINLIEST!!
Answer:
2. a. 11/4
b. 8/6
3. a. 2 1/6
b. 3 2/3
Step-by-step explanation:
So basically for number 2, you need to multiply the whole number and the denominator, then add the numerator.
For number 3, you need to divide the numbers. Like how much does 6 go to 13 or 11 go to 3. The remainder should be the numerator.
Answer:
Step-by-step explanation:
2)a)
[tex]2\frac{3}{4}=\frac{(2*4)+3}{4}=\frac{8+3}{4}=\frac{11}{4}\\\\1\frac{2}{6}=\frac{(1*6)+2}{6}=\frac{6+2}{6}=\frac{8}{6}\\[/tex]
3)
[tex]a) \frac{13}{6}=2\frac{1}{6}\\\\b) \frac{11}{3}=3\frac{2}{3}\\[/tex]
A person can pay $42 for a membership to the art museum and then go to the museum for just $4 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $90 ?
Answer:
The member of the art museum can visit 22 times
Step-by-step explanation:
A group of workers can plant 7 1/2
acres in 3
1/8
days.
What is the unit rate in acres per day?
Write your answer as a fraction or a mixed number in simplest form.
There are 4 colors of Starburst flavors: yellow, pink, red, and orange. If the probability of getting an orange is 2 5 2 5 , yellow is 1 10 1 10 , and the probability of getting red is 3 10 3 10 , what is the probability of getting pink?
Answer: 1/5
Step-by-step explanation:
From the question, we are informed that there are 4 colors of Starburst flavors: yellow, pink, red, and orange. We are further told that the probability of getting an orange is 2/5, yellow is 1/10 , and red is 3/10.
The probability of getting pink would be:
= 1 - [P(orange) + P(yellow) + P(red)]
= 1 - (2/5 + 1/10 + 3/10)
= 1 - (4/10 + 1/10 + 3/10)
= 1 - 8/10
= 2/10
= 1/5
Order this from least to greatest -8 1/5 8.23, -8 2/9,-8.21
Show work
Answer:
-8 1/5<-8.21,<-8 2/9,<8.23
Step-by-step explanation:
-8 1/5<-8.21,<-8 2/9,<8.23
) Which ratios have a unit rate greater than 1? Choose ALL that apply. 9 5 miles : 6 hour 3 (7) 7 miles : hour 4 1 2 miles: 3 hours 8 2 NI 9 1 3) 4 miles : 3- hours 3 1 3 mile : 2- hours 3 8 } mile : 2 miles : 3 hours 5
I got this right, look....
Evidence:
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The ratios that have a unit rate greater than 1 are:
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
The unit rate of each given ratio.
9/8 miles = 5/6 hours
Multiply 6/5 on both sides.
6/5 x 9/8 miles = 1 hour
54/40 miles = 1 hour
27/20 miles = 1 hour
1.35 miles = 1 hour
4 miles = 3(1/3) hours
4 miles = 10/3 hours
Multiply 3/10 on both sides.
3/10 x 4 miles = 1 hour
6/5 miles = 1 hour
1.2 miles - 1 hour
7 miles = 3/4 hours
Multiply 4/3 on both sides.
4/3 x 7 miles = 1 hour
28/3 miles = 1 hour
9.33 miles = 1 hour
We see that,
All of them have unit rates greater than 1.
Thus,
The ratios that have a unit rate greater than 1 are:
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
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The complete question is:
Which ratios have a unit rate greater than 1?
Choose all that apply.
9/8 miles : 5/6 hours
4 miles : 3(1/3) hours
7 miles : 3/4 hours
find the mean median mode and range. 8, 10, 15, 17, 17, 22
Answer:
mean: 14.833 or 14.8
median: 16
mode: 17
range: 14
A circle has a radius of 8x^6y^4 cm . The area of a circle can be found using a= πr2. What is the area of this circle in square centimeters ?
Answer:
[tex]a = 64 \pi x^{12}y^{8}[/tex]
Step-by-step explanation:
[tex]r = 8x^{6}y^{4}\\a = \pi r^{2} = \pi (8x^{6}y^{4})^{2} = 64 \pi x^{12}y^{8}[/tex]
A carpenter has at most $250 to spend on lumber. The inequality 8x+12y≤250 represents the numbers x of 2-by-8 boards and the numbers y of 4-by-4 boards the carpenter can buy. Can the carpenter buy twelve 2-by-8 boards and fourteen 4-by-4 boards?
Answer:
No, (12, 14) this is not a solution of the inequality
Step-by-step explanation:
(x, y)
x = 12 2-by-8 boards
y = 14 4-by-4 boards
(12, 14)
8x + 12y <= $250
This means that a 2-by-8 board cost $8 each, while a 4-by-4 board cost $12 each.
8(12) + 12(14) <= 250
96 + 168 <= 250
264 <= 250
264 is not less than or equal to 250
Given slope= 4 and a point (0,9), write the equation of the line in point slope form
Answer:
y - 9 = 4 ( x - 0)
Step-by-step explanation:
Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line
(dont think u can graph so its okay)
Answer:
y+2=.25(x+3)
Step-by-step explanation:
The point slope form is shown as follows
y-y₁=m(x-x₁)
We know that the slope (m) is equal to .25 and that x₁=-3 and y₁=-2
We can plug this in and get
y-(-2)=.25(x-(-3))
Simplify the signs to get
y+2=.25(x+3)
Which expression has a value of 1 when x = 2.
A .2x + 3
B.2x - 3
C.3x +2
D.3x - 2
Answer:
B.
Step-by-step explanation:
hope it helps
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term.
Answer:
0.527
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 4, 8/3... Find the 7th term
The sequence given in the above Question is a geometric sequence.
The formula for the nth term of a geometric sequence is given as:
an = a × r ^n - 1
Where
a = First term
r = Common ratio
n = nth term
From the above question, we are asked to find the 7th term
Hence:
a = 6
Common ratio = Second term/first term
= 4/6 = 2/3
n = 7
The 7th term = 6 × (2/3 )^7 - 1
= 6 × (2/3)^6
= 6 × (2/3)⁶
= 0.5267489712
Approximately to the nearest thousandths the 7th term = 0.527
One day, the system stops working correctly. The faucet starts to fill the aquarium at a rate of 30 liters per minute, and the drain opens at the same time, draining the water at a rate of 20 liters per minute.
Answer:
I need Help on this one too.
Step-by-step explanation:
Please help
Answer:
Step-by-step explanation: which things
6. Find the missing angle.
Step-by-step explanation:
one triangle has total 180°. so, 180° - 45° - 30° = 105°
Answer : 105°
Slope!! Need help thank you!!
Answer:
d)
Step-by-step explanation:
slope is rise over run the rise is 1 and the run is 4
B Then he said again, "I'll be back to check on you. One wrong move and off you go to prison too."
Answer:
What do you mean and whats the question
Step-by-step explanation:
???
Answer:
i dont think thats a question srry 2 break it to u bro
Step-by-step explanation:
In which quadrant does the point (15,-7) lie?
Answer:
Quadrant 4
Step-by-step explanation:
Quadrant 1: Positive x and Positive y
Quadrant 2: Negative x and Positive y
Quadrant 3: Negative x and Negative y
Quadrant 4: Positive x and Negative y
For point (15, -7), we have a Positive x and a Negative y so it belongs in Quadrant 4.
The quadrant the given point (15,-7) lie is fourth quadrant.
The first quadrant in Cartesian coordinate is given as;
= (x, y)
The second quadrant in Cartesian coordinate is given as;
= (-x, y)
The third quadrant in Cartesian coordinate is given as;
= (-x, -y)
The fourth quadrant in Cartesian coordinate is given as;
=(x, -y)
(15,-7) corresponds to (x, -y)
Thus, the quadrant the given point lie is fourth quadrant.
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At football practice on Monday, Brandon threw a football into the target 5 times. The next Monday, he tripled the number of targets he hit. On the following Monday, his hits double that of the week before. Write and evaluate a numerical expression to find how many times he hit the target during those three weeks.
Answer:
in all he hit the target 50 times
Step-by-step explanation:
first week he hits 5
second week hits 15=5x3
third week hits 30=15x2
The number of times he hit the target in three weeks is 50.
Definition of a numerical expressionA numerical expression is a mathematical statement that consist of integers joined together by operation symbols. Examples of operation symbols are addition, subtraction, multiplication and division. An example of a numerical expression is 5 + 3.
Numerical expressions that represent the number of times the ball was hitNumber of times the ball hit the target in the first week = 5 times Number of times the ball hit the target in the second week = 5 x 3 = 15 Number of times the ball hit the target in the third week = 15 x 2 = 30Total sum = 30 + 15 + 5 = 50 times
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3 consecutive integers is 234. What is the equation to solve this equations and what are the 3 integers?
Answer:
1. The equation to solve this equations is:
= 3x = 231
2. The three integers are 77, 78 and 79.
Step-by-step explanation:
The sum of 3 consecutive integers = 234
let x = first integer
let x+1 = second integer
let x+2 = third integer
Therefore,
= x + x + 1 + x + 2 = 234
simplified to:
= 3x = 231
b) Adding three consecutive numbers adds the smaller number to itself three times, and then adding 1 for the second number, and two for the third number. So, the sum of the three consecutive numbers is divisible by 3. Therefore, to get the second (or middle) number, divide the total by 3, and then subtract 1 and add 2 to get the first and the third numbers, respectively.
if y=3x^3+x^2-5 and z=x^2-12 what polynomial is equivalent to 2(y+z)
Answer:
2y + 2z
6x³+2x²-10 + 2x²-24
6x³+4x²-34 ■
Step-by-step explanation:
The polynomial which is equivalent to 2 (y + z) is 6x³ + 4x² - 34.
What is Polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer.
Here, y = 3x³+x²-5 and z = x²-12
Now,
2 ( y + z ) = 2 ( 3x³+x²-5 + x²-12 )
2 ( y + z ) = 2 ( 3x³ + 2x² - 17 )
2 ( y + z ) = 6x³ + 4x² - 34
Thus, the polynomial which is equivalent to 2 (y + z) is 6x³ + 4x² - 34.
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In the school election James ran against Ben for secretary James received 75% of the votes if 240 students voted how many votes did James not receive?
Answer: James did not received 60 votes.
Step-by-step explanation:
Given: In a school election,
Percentage of votes received by James = 75%
Percentage of voted hadn't received by James = 100% - 75% = 25%
If 240 students voted , the number of votes hadn't received by James= 25% of 240
[tex]=\dfrac{25}{100}\times 240\\\\=\dfrac14\times240\\\\=60[/tex]
Hence, James did not received 60 votes.
Two numbers are graphed on the number line below. Consider the inequality t
values graphed on the number line make the inequality true?
-8 -7 -6 -5 -4 -3 -2 -1
0
t = -3 andr
t = 3 and r = -7
t = 7 and r = -3
t = -7 and r =
3
My Progress >
Answer: t=7 and r=-3
So if you t<r + 5 count the number line
Step-by-step explanation:
Please help! - If the triangles are congruent, pick the postulate that proves they are congruent. If they aren't, choose not congruent.
Q1:A circle has an area of 64π square inches. Which best represents the circumference of the circle?
Q2:The circumference of a circle is 20π units. What is the area of the circle in terms ofπ ?
The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes Kate ran a mile in 10.87 minutes how many more minutes did Emmett run then Robin
Complete Question
The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?
a. 1.37 minutes
b. 1.27 minutes
c. 2.27 minutes
d. 1.27 seconds
Answer:
1.27 minutes
Step-by-step explanation:
Emmett ran a mile in 9.73 minutes
Kate ran a mile in 10.87 minutes
Rubin ran a mile in 8.46 minutes.
How many more minutes did Emmett run than Robin?
This is calculated as:
Number of minutes Emmett ran - Number of minutes Rubin ran
= 9.73 minute - 8.46 minutes
= 1.27 minutes
Option b is correct