The distance from the bottom of a ladder to the wall it leans against is one-fourth of the length of the ladder. If the ladder is 12 feet long, how far up the wall will the ladder extend?
Answer:
The ladder will extend 11.6ft up the wall
Wall will the ladder extend 11.6 ft
What is Pythagoras theorem?The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given
Length of the ladder = 12 ft
Distance from the bottom = 1/4 of length of the ladder
= [tex]\frac{1}{4}[/tex] × [tex]12[/tex]
= 3 ft
By using Pythagoras theorem
[tex]12^{2}=x^{2} +3^{2}[/tex]
[tex]x^{2} =144-9[/tex]
[tex]x^{2} =135[/tex]
[tex]x=\sqrt{135}[/tex]
[tex]x=[/tex] ± 11.6 ft
Hence, wall will the ladder extend 11.6 ft.
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Need Help!!!!!!!!!!!!!!
Answer:
Option a. id have other relations for them, but they are not listed, so their ya go.
Step-by-step explanation:
Answer:
You add 5 to get from x to y
Step-by-step explanation:
10+5 =15
13+5 = 18
16+5 = 21
Please help!! Why is sin(20) = sin(160) = -sin(200) = -sin(340)?
These relations all follow from the identity,
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get
sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)
We know sin(180°) = 0 and cos(180°) = -1, so we end up with
sin(160°) = sin(20°)
For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.
Answer:
Step-by-step explanation:
sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20
sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)
A school band is buying new jackets and hats. A jacket
costs $100 and a hat costs $40. The expression 100j + 40h
represents the cost of į jackets and h hats. How much will 5
new jackets and 8 new hats cost?
Answer:
it will cost 1820
Step-by-step explanation:
add 100 + 40=140 x 13=1820
Hoped it helps
so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz
Answer:
9:00
Step-by-step explanation:
For what value of p would the statement 5p = 30 be true
Answer:
p = 6 is the answer
Step-by-step explanation:
Write the untit rate rounded to the nearest hundredth ( two decimal places ) A coffee shop sold 48 cups of coffee in 4 hours how many cups do they sell per hr
Answer:
The coffee shop sells 12 cups/hour.
Step-by-step explanation:
To figure this out you would divide the amount of cups (48) by the amount of hours (4)
the temperature is 50 degrees Fahrenheit the temperature will decrease 4 degrees each hour let H be the number of hours when will it be 32 degrees
write a inequality
Answer:
LGFJDbvoRUWSVBIeLas
Step-by-step explanation:
10-2+3x19-8= first to answer will get brainlyest
Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?
Solve the inequality 16
Answer:
I thought I knew how to do this but ig I forgot ill be back in a little with the anwser.
Step-by-step explanation:
Two cars are heading toward the same intersection. Car A travels due east at 20 miles per hour, and Car B travels due north at 50 miles per hour. At what rate, in miles per hour, is the distance between the two cars decreasing when Car A is 0.375 miles from the intersection and Car B is 0.5 miles from the intersection?
Answer:
the distance between them is decreasing at a rate of 2 mph.
Step-by-step explanation:
List all given rates and the unknown rate.
Write the formula that relates the variables in the problem: x, y, and s.
There’s a right triangle in the diagram, so you use the Pythagorean Theorem:
For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so
Differentiate with respect to t.
Use the Pythagorean Theorem again to solve for s.
x = 0.4
y = 0.3
You can reject the negative answer because s obviously has a positive length. So s = 0.5.
Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.
This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.
ABCF is a rectangle.
CDEF is a trapezium.
AE is a straight line.
AB = 9cm, AE = 11cm, DE = 5cm.
The perimeter of rectangle ABCF is 28 cm.
Calculate the area of trapezium CDEF.
The area of trapezium CDEF will be 42 cm².
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
The perimeter of the rectangle ABCF is 28 cm.
Let's say BC = FA = x
Perimeter = AB + BC + CF + FA
Perimeter = 9 + x + 9 + x
Perimeter = 18 + 2x
2x + 18 = 28
x = 5 cm
Now,
Area of trapezium = (1/2) × sum of parallel distance × perpendicular distance.
Area of trapezium = (1/2) × (5 + 9) × 6
Area of trapezium = 42 cm²
Hence "The area of trapezium CDEF will be 42 cm²".
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A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.
=> x + 48° = 66°, x = 18°.
The required measure of the angle x is given as 18°.
Given that,
A side of the triangle below has been extended to form an exterior angle of 66°
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°
Thus, The required measure of the angle x is given as 18°.
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Nina Milling assembles transistor radios. she is paid $0.54 for each radio assembled during a regular work week, $0.62 for each radio assembled on on sundays. What is Nina's total pay for a week in which she assembled the following number of radios?
Answer:
I would need to know the number of radios she made each day.
Step-by-step explanation:
lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***
you would get $6.48
then for sunday we would do 0.62 x 2 (that would be 1.24) .
now we add 6.48 and 1.24 to get $7.72 a week.
Marco needs to buy some cat food At the nearest store, 3 bags of cat food cost $16.50. How muc
would Marco spend on 5 bags of cat food?
Please help me 123 or 4........
Answer:
It's 2
Step-by-step explanation:
Hope this helps
Which table represents a direct variation function?
Answer:
(A) First table
___________
Input: 6, 9, 12
Output: 8, 12, 16
Step-by-step explanation:
To determine whether or not a function is a direct variation, x and y must divide evenly and have a constant factor or factor that stays the same.
B and C don't divide evenly so those are already wrong, and D is wrong because x and y do not divide by the same factor every time.
What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS
Answer:
the slope is 3
Step-by-step explanation:
slope formula [tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m\frac{5-(-1)}{0-(-2)}[/tex] = 3
A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction
Answer:
0.8%
Step-by-step explanation:
Number of people had mild allergic attack = 72
% of people who had mild allergic attack = 72/9000 × 100%
= 0.8%(Answer)
A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?
Given: It is given that the length of the painting is 24 inches and the width is 11 inches.
To find: Area of the mat
Solution:
The watercolor painting is 24 inches long by 11 inches wide.
So, the area of the painting is:
[tex]\text{Area of painting}=l\times b[/tex]
[tex]\text{Area of painting}=24\times 11[/tex]
[tex]\text{Area of painting}=264 \text{ in}^2[/tex]
The length of painting with mat is = 24 in + 3 in + 3 in = 30 in
The width of painting with mat = 11 in + 3 in + 3 in = 17 in
[tex]\text{Area of painting with mat}=30\times 17[/tex]
[tex]\text{Area of painting with mat}=510 \text{ in}^2[/tex]
Now to calculate the area of mat subtracts the area of painting from the area of the mat.
[tex]\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\[/tex]
[tex]\text{Area of mat}=510-264[/tex]
[tex]\text{Area of mat}=246 \text{ in}^2[/tex]
Hence, the area of the mat is 246 in².
4) [59, 59,59,59,100,89,80,89] Find The Median and The mode
Will mark brainliest, if correct!
Answer:
Q'(15, -3)
Step-by-step explanation:
Multiply the coordinates by the scale factor to get the new coordinates.
5 · 3 = 15
-1 · 3 = -3
Therefore, Q'(15, -3).
Manny wants to find ways to reduce his current debt. The table below shows Manny’s monthly income, expenses and net income.
Monthly Budget
Amount
Income
Wages
$3,000.00
Expenses
Rent
$1,200.00
Utilities
$269.34
Entertainment
$220.00
Food/Clothes
$368.00
Cell Phone
$89.42
Credit Card #1
$94.62
Credit Card #2
$36.18
Car Insurance
$80.00
Car Payment
$300.00
Gym Membership
$25.00
Net Income
$317.44
After evaluating Manny’s monthly budget, which of the following would be the best option to reduce his debt?
a.
Manny could spend less on entertainment each month and put the money towards a new cell phone.
b.
Manny could pay the minimum monthly payments on his credit cards and put the money towards his car payment.
c.
Manny could spend less on food and clothes and put the money towards his credit card payment.
d.
Manny could cut his utlility costs and put the money towards buying a new house.
Answer:
c. Manny could spend less on food and clothes and put the money towards his credit card payment.
Step-by-step explanation:
Edge 2021
Based on the information given, Manny can reduce his current debt by: C. Manny could spend less on food and clothes and put the money towards his credit card payment.
What is a credit card?A credit card refers to a small rectangular-shaped plastic card that is issued by a financial institution (banks) to its customers, which allows them to purchase goods and services on credit, especially based on the agreement that the amount of money taken would be paid later with an agreed upon interest rate.
How to calculate monthly payment.Mathematically, the monthly payment for a credit card is given by this formula:
[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]
Where:
P is the principal.r is the interest rate.M is the monthly payment.t is the time.n is the number of times it's compounded.In this scenario, Manny can reduce his current debt by spending less amount of money on both food and clothes while putting the money towards his credit card payment.
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Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)
Answer:
I think it would be something like 5x - 3 =
Estimate 73,784-32,863 by first rounding each number to the nearest thousand
Please Help! It’s due today!
Answer:
1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.
2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.
-54 + 17 equals 54-17 = 37.
-96 < 37, so -35 + (-61) is less.
Step-by-step explanation:
The explanation is in the answer section, since your homework asked for me to explain.
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.
A: 1/2
B: 1/4
C: 1/5
D: 1/25
Marcie likes to collect stickers, but she also likes to give them away. Currently, Marcie has 87 stickers in her collection. If Marcie collects 5 new stickers each week and gives away 3 stickers each week, how many stickers will Marcie have in her collection after 5 weeks?
Answer: 97 stickers
Step-by-step explanation:
Marie has 87 stickers in her collection.
Each week she collects 5 and gives away 3.
The total number of stickers she gains per week is therefore:
= 5 - 3
= 2 stickers per week
In 5 weeks therefore, she would have collected:
= 2 * 5
= 10 stickers
Add that to the original number:
= 87 + 10
= 97 stickers
SOMEONE PLEASE HELP ME!
