Answer:
8.66 meters
Step-by-step explanation:
Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.
Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.
We have to:
c ^ 2 = a ^ 2 + b ^ 2
c = 10
a = 5
replacing
b ^ 2 = 10 ^ 2 - 5 ^ 2
b ^ 2 = 75
b = 8.66
that is to say that the height at which the ladder reaches the wall is 8.66 meters
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Step-by-step explanation:
A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore
Opposite side = 2/2 = 1 yrd
Slant height, L = hypotenuse
Adjacent side = 2 yrd
Hypotenuse² = opposite side² + adjacent side²
L² = 1² + 2² = 5
L = √5 = 2.24 yrds
Slant height = 2.24 yrds
B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24
Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²
Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²
surface area of composite figure = 20 + 8.96 = 28.96 yrds²
C) volume = 1/3 × base area × height
Volume = 1/3 × 2² × 2 = 2.67 yrds³
The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31
Answer:
mean number of hours worked = 32
Step-by-step explanation:
The mean or average of a set of data is the sum of the individual data divided by the number of entries.
Therefore, the mean number of hours worked is calculated as follows:
sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320
Number of entries = 10
mean number of hours worked = sum of the number of hours ÷ Number of entries
mean number of hours worked = 320 ÷ 10 = 32
how many 1/8 are in 1/2 a cup
Answer:
Add dem
Step-by-step explanation:
Just add dem and u will get our answer
Answer:
4
Step-by-step explanation:
Add 1/8 until, when simplified, it will equal 1/2:
1/8 + 1/8 = 2/8
2/8 + 1/8 = 3/8
3/8 + 1/8 = 4/8 = 1/2
4 1/8 are needed to get 1/2: (4 * 1)/8 = 4/8 = 1/2
5/4=y−14 help meeeee
Answer:
y= 61/4
Step-by-step explanation:
-y=-14-5/4
-y=-61/4
-1(-y=-61/4)
y= 61/4
Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.
cos A = 0.31, sin B = 0.89, tan C = 0.52
Answer:
1. ∠A = 71.9°
2. ∠B = 62.9°
3. ∠C = 27.5°
Step-by-step explanation:
By using a calculator, we have;
cos A = 0.31
sin B = 0.89
tan C = 0.52
1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;
∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.
2. For sin B = 0.89, we have;
∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.
3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;
∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.
Work out the value of 58×5-2
54
Answer:
36
Step-by-step explanation:
58 times 5 is 290. 290-254 is 36
Need help ASAP. WILL MARK BRAINLIEST
Answer: 150.80 inches.
Step-by-step explanation:
Answer:
75.36
Step-by-step explanation:
You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.
The watch Bea would like to buy costs $10 less than 2
times the amount she has saved. The watch costs $50.
How much money does Bea have saved?
Could whoever answers pls tell the equation used?
Answer: Bea has $30 saved
Step-by-step explanation:
Add 10: 50+10=60
Divide by 2: 60/2=30
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
c
Step-by-step explanation:
In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
4/24
Step-by-step explanation:
Answer:
4/24
Step-by-step explanation:
Need help ASAP !! Anyone get this question ?
Answer:
1:3
Step-by-step explanation:
Down arrows: 4 out of 12
4:12
1:3
Answer:
4:12, 4 to 12, or 4/12
Step-by-step explanation:
this is so simple, first see how many down arrows are there
down arrows: 4
then count the total arrows
total: 12
down arrows to total arrows
4:12
Brainliest!!!
What is 30 divided by 5?
Really Easy!
Answer:
6
Step-by-step explanation:
Answer:
The answers 6 gorgious
The hardware store is having a 15% off sale on lawn mowers this weekend.If x is the original price of the lawn mower,what will be the final sales price,excluding tax?
Answer:
Final price f = 0.85x
Step-by-step explanation:
Let f represent the final price and
x is the original price of the lawn mower
Given;
The hardware store is having a 15% off sale on lawn mowers this weekend;
the final sales price,excluding tax will be equal to the original price minus 15% of the original price.
Final price f = 100% of x - 15% of x
Final price f = x - 0.15x
Final price f = 0.85x
Answer:
WHAT IS THE ANSWER?
Step-by-step explanation:
help mehhh
Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?
Answer:
4.8 dollars for 1 pound super nutty
Solve the following trigonometric equations for all values of x | 0 < x < 360o. (12.5 pt. ea.)
1. 4 cos2 x = 3 2. 3 tan x = tan x – 2
Solve the equations for all values of θ | 0o < θ < 360o (12.5 pt. ea.)
3. 4 cos θ = – 4 4. – 1 – sin θ = – 4 – 7 sin θ
√ 2
Answer:
202
Step-by-step explanation:
4th answer
What is the surface area of a cube in which each face of the cube has an area of 7 cm??
Answer:
42
Step-by-step explanation:
6 faces to a cube
each face has area of 7
6*7 is 42
Answer:
42 is correct
Step-by-step explanation:
give the other person brainliest
Sue biked 5 kilometers each day for 7 days. How many cm did she bike in all?
HELP ASP GIVING YOU 30 POINTS FOR THIS
Answer:
3,500,000
Step-by-step explanation:
Answer:
Sue biked 3,500,000 centimetres.
Step-by-step explanation:
First, multiply 5 km by 7 (days). 5 × 7 = 35 km
Convert the kilometres to centimetres.
There are 100,000 cm in a kilometer, so multiply:
35 × 100,000 = 3,500,000 cm.
Anthony played a dart game using the dartboard shown above. Anthony had 5 throws and then added his points. He hit the -6 twice, the 10 once, the 2 once, and the -4 once. How many points did Anthony earn?
Answer:
- 4
Step-by-step explanation:
The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to
= -6 - 6 + 10 + 2 -4
= -4
Anthony earned a total of - 4 from the 5 throws.
The value of the square root of 13 is between
Answer:uhhhhhhhhhhhhhhhhhhh 14
Step-by-step explanation:
The box is 3/4 inch long, 1/2 inch wide, and 1,4 inch deep. What is the volume of the box.
Answer:
4/32
Step-by-step explanation:
3/4*1/2=3/8
3/8*1/4=4/32
Answer:
3/32 inch^3
Step-by-step explanation:
Order the rational numbers from least to greatest
Answer:
its the 3rd one
Step-by-step explanation:
you find which one is smaller and then you go to the next one up
Jada walks up to a tank of water that can hold up to 10 gallons when it is activated a dream empty water from the tank at a constant rate when Jayda first season take it contain 7 gallons of water three minutes later the tank contains 5 gallons of water at what rate is the amount of water in the tank changing you signed numbers and include the unit of measurement in your answer
Correct question:
Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.
Answer: - 2/3
Step-by-step explanation:
Given the following :
Amount of gallon tank can hold = 10
tank drains at a constant rate :
First look tank contains 7 gallons
After 3 minute,
Tank contains 5 gallons
Thus signifies a 2 gallon decrease in volume of water after 3 minutes
Therefore, the rate of change =( change in volume) / time
Rate of change = (final volume - initial volume ) / 3
(5 - 7)/ 3 = - 2/3
How much money was raised with the 100 tickets solved?
Answer:
£1481
Step-by-step explanation:
First find the cumulative frequency of the child tickets. You should get 58.
Then multiply this by the price of the child tickets.
58x12.50=£725
Then, to work out the number of adults, we subtract 58 from 100
100-58=42
Then multiply this by the price of adult tickets.
42x18=£756
Add both prices together to get your answer.
725+756=£1481
Sorry if it's too late, I hope it helps. :)
An isosceles triangle has an angle that measures 50°. Which other angles could be in that isosceles triangle?
The answer choices are
65°
80°
50°
30°
Plz help
Answer:
80
Step-by-step explanation:
An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees
Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down
Answer:
up
Step-by-step explanation:
a is positive
An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.
Answer:
Option given in the top right.
Step-by-step explanation:
If an acute triangle is rotated about a point,
- Angles of the transformed triangle remain unchanged.
If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],
- Measure of sides of the image will be dilated by a scale factor of 0.5.
Therefore, statement that compares ΔABC to ΔA'B'C' will be,
The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.
Option given in the top right is the answer.
14,500 people are sitting in a stadium. One of them is picked out. What are the chances that the person's birthday is on a Sunday?
Please give an accurate answer
There are 7 days in a week.
The probability of being on any one day of the week would be 1/7
So the probability of a persons birthday being on a Sunday would be 1/7
Answer:
WELL THERE 7 DAYS IN THE WEEK
Step-by-step explanation:
The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.
Answer: - 63
Step-by-step explanation:
An arithmetic progression is such that the N-th element is equal to:
An = A1 + (n-1)*R
where A1 is the first term, and R is the difference between two consecutive terms.
We know that
A1 + 9*R = -37
and
A1 + (A1 + R) + (A1 + 2R) + (A1 + 3R) + (A1 + 4R) + (A1 + 5R) = -27
6*A1 + R(1 + 2 + 3 + 4 + 5) = -27
6*A1 + 15*R = -27
so we have two equations:
6*A1 + 15*R = -27
A1 + 9*R = -37
Let's find A1 and R.
First, isolate A1 in the second equation:
A1 = -37 - 9*R
now replace it in the other equation and solve it for R.
6*A1 + 15*R = -27
6*(-37 - 9*R) + 15*R = -27
-222 - 54*R + 15*R = -27
-39*R = -27 + 222 = 195
R = 195/-39 = -5
Now we can find the value of A1:
A1 = -37 - 9*R = -37 - 9*-5 = 8
So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.
A7 = 8 + 6*-5 = -17
A8 = 8 + 7*-5 = -22
Sum = -27 -17 - 22 = -63
A polynomial p has zeros when x = 1/5, x = -4, and x = 2.
What could be the equation of p?
Answer:
-3
Step-by-step explanation:
and
= -3
What could be the equation of p?
Choose 1 answer:
©
p(x) = 2(6x + 1)(x+3)
©
p(x) = 2(6x – ) (2 – 3)
© p(x) = + (6 +) (+3)
© pla) = = (***) (2-3)
Answer:
p(x) = (5x - 1) (x + 4) (x - 2)
Step-by-step explanation:
The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99
FIND MAD
Answer:
[tex]1.6[/tex] - written in [tex]2/12/2021[/tex]
Step-by-step explanation:
The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].
So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]
This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.
Answer:
7.4
Step-by-step explanation:
