Answer:
6 feetStep-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x ≈ 74.3
Step-by-step explanation:
Using the tangent ratio in the right triangle, that is
tan22° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{x}[/tex] ( multiply both sides by x )
x × tan22° = 30 ( divide both sides by tan22° )
x = [tex]\frac{30}{tan22}[/tex] ≈ 74.3 ( to the nearest tenth )
The points (9,4) and (7,w) fall on a line with a slope of 5. What is the value of w?
Answer:
-6Step-by-step explanation:
Equation .......[tex] \ slope\: = \frac{different \: \: in \: y}{different \: in \: x}[/tex]
So ,. [tex] \: \: \: \: \: \: \ \: \ \: \: \: \:5 = \frac{(y1 - y2)}{(x1 - x2)} [/tex][tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{(4 - w)}{(9 - 7)} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 = \frac{4 - w}{2} [/tex]
5 × 2 = 4 - w 10 = 4 - w W = 4 - 10 W = -6 ..........Solve by factoring.
X2-9x-52=0
Answer:
Step-by-step explanation:
x^2-9x-52=0 What 2 numbers when multiplied equal -52 and added equals -9? -13 and 4
(x-13)(+4)
A pair of pants was on sale for 40% off. The sale price of the pants was $18.00. What was the original price of the pants?
Answer:
The original price of the pants was $30.
Step-by-step explanation:
Let x be equal to the original price of the pants.
Because the pants are 40% off, their final price was 60% of the original price. 60% as a decimal is 0.6. Using this information, we can set up the following equation and solve:
0.6x=18
Divide both sides by 0.6
0.6x/0.6=18/0.6
x=30
I hope this helps!
The number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch. Write an inequality to find the possible number of students,n, who eat the lunch
Answer:
83
Step-by-step explanation:
there is many ways to do it!! HOPE YOU ACE IT
The number of students, n that possibly eat lunch at school, n = 531 or more students.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that the number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch.
The number of students who bring lunch, is;
B > 485 students
The number of student who eat lunch in school, E = B + 45
Thus, E > 485 + 45
The number of student that possibly eat lunch in school, E > 530 students.
The number of students, n that possibly eat lunch at school, n = 531 or more students.
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Can you help me please
Answer number 6 pleaseeeee
Answer:C and D I hope that helps
Step-by-step explanation:
If ∡P and ∡Q are complementary angles (90°), m∡P = 7x + 3, and m∡Q = 16x – 5, find m∡P.
Answer:
23
Step-by-step explanation:
PLEASE HELP ME I NEED AN ANSWER ASAP WILL MARK BRAINLY
jamie had 20 marbles 5 marbles were green and 15 were blue what percent of the marbles were blue?
Answer:
Step-by-step explanation:
15/20 X 100% = 75%
Therefore 75% of marbles were blue
What is the value of h(3) multiplied by h(7)
P.S. I will give brainliest to the best answer
Answer:
21
Step-by-step explanation:
Because h(3) times h(7) is equal to 21.
Hope it helps!
find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)
f(x)=√(4-x), [-5,4]
================================================
Work Shown:
Compute the function value at the endpoints
[tex]f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\[/tex]
With a = -5 and b = 4, we have
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\[/tex]
So,
[tex]f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\[/tex]
Use algebra to solve for c
[tex]-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\[/tex]
Describe how to find the LCM ( least common multiple ) for a set of numbers.
Answer: i explained it
Step-by-step explanation:
list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Which rectangle is similar to a rectangle 12 inches wide and 18 inches long?
Answer:
Step-by-step explanation:
the answer is b add 8 to each side
When working, Peter makes $16 an hour. Write a function to represent how much money he will make based on the number of hours he works. Then, calculate how much money he made after working for 6 hours.
Answer:
y=16x
96
Step-by-step explanation:
Answer the following question and will mark Brainliest
a) f(4) = 3*4 - 4
= 8
b) h(-3) = 5 - ( - 3)
= 5 + 3 = 8
c) h(4) - f(-5) = 1 + ( -19)
= -18
have a nice day <3
What is the value of N?
Answer:
85
Step-by-step explanation:
Since the exterior angles of a triangle always add up to 360:
360 - 133 - 142 = 85
Step-by-step explanation:
all 3 indicated angles are outside angles of a triangle.
the sum of all outside angles of any polygon is 360°.
so,
N = 360 - 133 - 142 = 85°
Can someone help me?
Answer:
it's D
Step-by-step explanation:
4x represents the hours and A, B, and C doesn't make sense especially c because it has a -4 so the correct answer is D I'm sure
Answer:
Choice D y = 4x -12
Step-by-step explanation:
Since Kevin owes his brother $12, we can clarify that b=-12. He also has a babysitting job where he receives $4 an hour which we can express as 4x; let x represent the amount of hours he works.
The graph equation is y=mx + b
so, y = 4x -12
What is the slope of a line that is parallel to the line y = 3/4 x + 2?
Answer:
[tex]m=\frac{3}{4}[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Symbol: m
[tex]m=\frac{3}{4}[/tex]
Which number on the number line shows the solution of 6x-12>-6?
Answer:
B
Step-by-step explanation:
We start by finding a solution to the linear inequality
6x-12 > -6
6x > -6 + 12
6x > 6
x > 6/6
x > 1
The correct number line is one with value at 1, facing the right and unshaded
(6 x 10^8) divide (1.5 x 10^-4)
Answer:
Step-by-step explanation:
the answer is A OK
Answer:
Step-by-step explanation:
(6 x 10^8) =600,000,000
(1.5 x 10^-4) = 0.00015
________________________________________
600,000,000 ÷ 0.00015 = 4 ×10^12
Triangle C has vertices (2, −1), (2, 2), and (1, −1). Which triangle is similar to triangle C? Triangle X with vertices (−2, 2), (2, 4), and (1, −2) Triangle W with vertices (4, −3), (4, 0), and (2, −3) Triangle Z with vertices (4, −2), (4, 4), and (2, −2) Triangle Y with vertices (4, 1), (2, 3), and (2, 2)
Answer:
not triangel Z ill come back with an update
Step-by-step explanation:
They have nothing in common
Answer: Triangle Y
Step-by-step explanation: it’s the same triangle just double the size
Draw a Picture Cynthia has a piece of wood
that is 6 feet long. She cuts it into 3-foot pieces.
How many pieces does she have? Use the
number line to help you solve the problem.
0
2
3
You may divide the entire length of the wood by the length of each piece to get how many pieces she has: 6 feet / 3 feet / piece equals two parts. Cynthia therefore has 2, 3 foot long pieces of wood.
What does math divide mean?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
How do you multiply by four?There is a method for dividing by 4 that you can use: the the rule is to divide by 2 twice. For example, if you want to divide 12 by 4, you simply divide 12 by 2, which gives you 6, and then divide that number by 2, which, in this case, gives you 3.
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Mason had $24 to spend on 5 snacks. After buying them he had $4 left. How much did each snack cost?
Answer:
$4 each snack
Step-by-step explanation:
Answer:
x= 4.8
Step-by-step explanation:
5x = 24 and 24/5 = x
ASAP PLS HELP ME WILL MARK U AS BRAINLIST
The measure of angle ABC is 132°.
The total measure of ABC and BCD is 180° because it is a straight angle.
If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.
Help me please! Will mark brainiest :) ASAP
Answer:
Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.
Step-by-step explanation:
Given that:
M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.
Here,
n means the number of drive.
The statement is given
M(10) = K
10 represents the nth drive of Jayce's.
Therefore,
The given statement represents Jayce's fee for his 10th drive is equal to K dollars.
Hence,
Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.
In ΔSTU, s = 36 cm, ∠T=58° and ∠U=68°. Find the length of u
Answer:
IM YOUR ANSWER
Step-by-step explanation:
How many 1/2's are in 5 1/2?
Answer:
11
Step-by-step explanation:
1/2 * 2 = 1, 5 1/2 * 2 = 11.
Given the quadratic equation: f(x) = x2+4x-21
What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY
[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]
These are x-intercepts form. So the answer is (x+7)(x-3).
Helpppppppppppppppppppppppppppppp Asapppppppppppppp
Answer:
x = 185
Step-by-step explanation:
Given:
Plan A
Fixed cost = $14.80
variable cost = 10 cents per min = $0.1 per minute
Plan B
Fixed cost = $18.50
variable cost = 8 cents per min = $0.08 per minute
Computation:
Assume
Plan A cost = Plan B cost
14.80 + 0.1x = 18.50 + 0.08x
x = 185