Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places.
Answer:
9.46 ft
Step-by-step explanation:
Law of sines
10/sin(90)=x/sin(71)
x=(sin(71)*10)/sin(90)
x=9.46
Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11
Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.
Answer: - 2.5
Step-by-step explanation:
Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.
From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.
(-3 + - 2) / 2 = - 5/2 = - 2.5
Mrs. Meyer's soap is $3.99 for 12 ounces. What is the cost per ounce?
Answer:
It's about 33 cents per ounce. The exact answer would be 0.3325
Step-by-step explanation:
Answer:
0.33
Step-by-step explanation: i did it on a piece of paper
Determine the value of y.
A. 90
B. 60
C. 180
D. 45
(i need this rq)
Answer:
D. 45°
Step-by-step explanation:
Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°
helppppppppp! i give brainliest !!!!!!
Answer:
7.5g salt, 10g yeast, 50ml oil, 450ml water.
1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2
Answer:
x = 2
y = 4
or (2 , 4)
Step-by-step explanation:
Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.
[tex]3x-2 = x+2\\[/tex]
Now we can solve x.
[tex]3x= x+4\\[/tex]
[tex]2x = 4\\[/tex]
x = 2
Now that we have solved for one variable we can plug this back into either equation and solve for y.
[tex]y = 2 + 2\\[/tex]
y = 4
Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *
Answer:$11.90 each week for 5 weeks
Step-by-step explanation:
$59.50/5 = $11.90
If f(x)= x2 + 7; Find x if f(x)= 23
Answer:
x = 4, -4
Step-by-step explanation:
f(x)= x^2 + 7
f(x) =23
23 = x^2+7
Subtract 7 from each side
23-7 = x^2 +7-7
16 = x^2
Take the square root of each side
±sqrt(16) = sqrt(x^2)
±4 = x
11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Share 35 sweets in the ratio 4:3
number sweet is 35
we divided ratio =4x:3x
total = 4x+3x
7x= 35
= 35/7
x= 5
1 st part will be 4x = 4*5= 20 sweets.
2 nd part will be 3x = 3*5= 15sweets
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J
Answer:
[tex]\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]
Step-by-step explanation:
Given: P is Three-fifths the length of the line segment from K to J
To find: x- and y-coordinates of point P on the directed line segment from K to J
Solution:
Section formula:
Let point K and J be [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] such that the point [tex]p(x,y)[/tex] divides KJ in ratio [tex]m:n[/tex]
Then coordinates of point P are given by [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]
Take [tex]m:n=3:5[/tex]
So,
coordinates of point P = [tex]\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]
Answer:
The answer is (40,96), hope it helps :)
What’s the sum for 1/6+square root 6
Answer:
1/6 +√6 = 2.6162
Step-by-step explanation:
Answer:
B:2.6161564...
Step-by-step explanation:
edge2020
Volume = 21 pi Find the value of the variable in the figure. Leave answers in the simplest form. a. 1 c. 5 b. 3 d. 7
Answer:
3
Step-by-step explanation:
(volume) 21 * pi = 65.9734457254
height =7
Cone = (1/3)πr²h, where r is the radius and h is the height.
V = Ah/3
Work out (5*10^3) * (9 x 10^7)
Give your answer in standard form
Answer:
45×10^10
Step-by-step explanation:
try opening the brackets group and you get the answer
Can someone please help me :(
Answer:
Step-by-step explanation:
ok its AAS because if you see the most aperent thing on the trangle is that
Answer:
AAS
Step-by-step explanation:
The two triangles are congruent because they have two equal angles and one side
What is the best approximate of the square root of 50
Answer:7
Step-by-step explanation:
7^2 = 49 (or square root of 49 is 7)
8^2 = 64 (or square root of 64 is 8)
what is the estimate of 14.8(20.7)
Answer:
306.36 is the answer
Step-by-step explanation:
Answer:
306.36
Step-by-step explanation:
hope it helps! x
Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!
Answer:
(x-4)^2 + (y-3)^2 =8
Step-by-step explanation:
The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3
(4,3)
The radius is the distance from the midpoint to an endpoint
This is 2sqrt(8)
So the equation is
(x-4)^2 + (y-3)^2 =8
Prove that for any complex polynomial ^=−1,
the sum of the roots is zero. (Please state any theorem used).
Answer:
I dont get this ??
Step-by-step explanation:
The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..
Answer:
First tale nth term and find relation of a , d, n
Try yourself
QUESTION 9 of 10: Your insurance company bills you $687.89 every 6 months for your premium payments. You decide to pay per month.
What is the monthly premium?
O a) $114,65
b) $120.66
c) $144.78
d) $687.89
Answer: $114.65
Step-by-step explanation:
From the question, we are told that a insurance company bills a customer $687.89 every 6 months for your premium payments.
Since the customer has decided to be paying per month, we divide the amount paid for the 6 months which is $687.89 divided by 6. This will be:
= $687.89/6
= $114.65
The person will pay $114.65 monthly
Answer:
114.65
Step-by-step explanation:
help? Give the equation of the line passing through the points (9/4,4/11) , (9/4, 7) .
Answer:
x = 9/4
Step-by-step explanation:
Since the x coordinates are the same, it is a veritcal line with x = 9/4
Find a solution for the equation y = 4x - 3.
Answer:
y=1
Step-by-step explanation
the x is like a imaginary 1 so 4*x=4-3=1
Which best describes the dimensions of a line?
1 . A line has zero dimensions because it represents a
2. A line has one dimension because it is made up of a
3. A line has two dimensions because it is made up of
4. A line has multiple dimensions depending on how ma
Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
Step-by-step explanation:
A line is a one-dimensional figure, it has no thickness.
For reference, point is zero dimesional, a plane is twodimensional.
Then the correct answer would be:
A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school
Answer:
So how many he has left to do???
I think Salim has to finish 5 more problems
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?
Answer:
Large box = 31/2 = 15.5 kgs
Small box = 27/2 = 13.5 kgs.
Step-by-step explanation:
Let x be large box
Let y be small box
5x + 3y = 118
5x = 118 - 3y
x = 118/5 - 3/5y
2x + 12y = 193
2(118/5 - 3/5y) +12y = 193
y = 27/2 = small box
Large box
5x + 3(27/2)=118
x = 31/2 = large box
Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?
A) 1.00
B) 0.55
C) 0.10
D) 0.45
Answer:
B) 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Step-by-step explanation:
Explanation:-
Given Event A and Event B are mutually exclusive.
Given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A
P( A⁻ ) = 1 - P( A)
= 1 - 0.45
= 0.55
Final answer:-
The probability of the complement of Event A = 0.55
The probability of the complement of Event A is equal to 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Given Event A and Event B are mutually exclusive.
We have given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A.
What is the formula for the compliment of the event?P( A⁻ ) = 1 - P( A)
Use the given value in the above formula we have,
= 1 - 0.45
= 0.55
The probability of the complement of Event A is equal to 0.55.
To learn more about the probability visit:
https://brainly.com/question/24756209
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the circumference of a circle is 125.6m find its radius
Step-by-step explanation:
we have,
Circumference of Circle (C) = 2πr
or, 125.6 = 2πr
or, r = 125.6/2π
Ans: r = 19.9898 ~ 20 m
The x coordinate of the midpoint is the _____ the x coordinates of the endpoints.
Answer:
average
Step-by-step explanation:
The midpoint is always the average or middle of the line. So here it would be the average of the two x endpoints.