Answer:
9.19ftStep-by-step explanation:
The set up given will form a right angled triangle with the length of the ladder as the hypotenuse and distance between the the floor and the top of the ladder as the adjacent side to one of the acute angle 45 degrees.
Using one of the trigonometry identity to calculate How high off the ground the top of the ladder. According CAH;
cos 45° = Adjacent/Hypotenuse
cos45° = y/13
y = 13cos45°
y = 9.19ft
The ladder is 9.19ft off the ground
5. Cameron found the volume of the cone below, but when he double-
checked his work, he got a different solution. Determine which solution
best represents the volume of the cone.
TRY #1
169.6 in 3
TRY #2
56.5 in 3
Answer:
Try 2 is correct
Step-by-step explanation:
See attachment for dimension of cone.
From the attached,
The diameter of the cone, d = 6 in
The height of the cone, h = 6 in
The volume of a cone is calculated as thus
Volume = ⅓πr²h
So, we need the value of r.
r represents radius and
r = ½d
r = ½ * 6
r = 3.
So,
Volume = ⅓πr²h becomes
Volume = ⅓ * π * 3² * 6
Volume = π * 3 * 6
Volume = π * 18
Volume = 18π
Take π as 3.14
So,
Volume = 18 * 3.14
Volume = 56.52 in³
Given that
Try 1 = 169.6 in³
Try 2 = 56.5 in³
We can conclude that Try 1 is incorrect and Try 2 is correct
STUCK ON THIS QUESTION PLS HELP!! WILL MARK BRAINLIEST
Answer:1/2
Step-by-step explanation: There are three prime numbers from 1 to 6 i. e. 2,3 and 5. So the probability of getting these nos. is 3 out of 6 or 3/6 which can be simplified further into 1/2
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
(10 + 3x) = 5x
Solve please
Answer:
x=5
Step-by-step explanation:
10 +3x = 5x
Subtract 3x from each side
10+3x-3x= 5x-3x
10 =2x
Divide each side by 2
10/2 = 2x/2
5 =x
WILL MARK BRAINLIEST QUestions is in attachment
Answer:
x = 17º
Step-by-step explanation:
We know that it's a right angle because of the smaller square where the vertices meet. We are given 73º. An equation you can use is
90 - 73 = x
x = 17
Answer:
17º
Step-by-step explanation:
What is the next term in the arithmetic sequence? 9, 17, 25, 33, ...
Answer:
41
Step-by-step explanation:
Add 8 every time.
For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?
Answer:
[tex]k=0[/tex] and [tex]k=3[/tex].
Step-by-step explanation:
To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of [tex]k[/tex] that makes those coordinates equal.
[tex]k^{2}=3k\\ k^{2}-3k=0\\k(k-3)=0\\[/tex]
Using the null factor property, we have
[tex]k=0\\k-3=0 \implies k=3[/tex]
Therefore, the given relation is not a function when [tex]k=0[/tex] and [tex]k=3[/tex].
If f(x) = 4x – 5 and g(x) = 3 – 2x, find f(x) + g(x). A. 2x – 2 B. 6x – 2 C. 2x – 8 D. 6x – 8
Answer:
Step-by-step explanation:
Factor 36+12x+x^2
as the product of two binomials
Answer:
(x+6) (x+6)
(x+6)^2
Step-by-step explanation:
36+12x+x^2
x^2 +12x +36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
(x+6)^2
Answer:
(x+6) (x+6)
Step-by-step explanation:
Ramon has started a workout program. On Monday, he did 10 push-ups. On Tuesday, he did 13 push-
ups, and on Wednesday, he did 16 push-ups. Using the pattern, predict the number of push-ups he
will do on Friday.
A. 21
B. 19
C. 24
D. 22
Answer:
he will do 19 pushups
Step-by-step explanation:
He will do 19 push ups because the pattern Is going up by 3 each days so if you add 3 to 16 you will get 19!!!!!
Hope This Helped :)
Answer:
D. 22
Step-by-step explanation:
Monday: 10
Tuesday: 13
Wednesday: 16
So the pattern is increasing by 3, so let's follow it.
Thursday: 19
Friday: 22
He will probably do 22 push-ups on Friday!
The volume of a cone is 410.3 mm and has a radius of 7 mm. What is the height of the cone? Round to the nearest hundredths
Answer:
8
Step-by-step explanation:
h=3V
πr2=3·410.3
π·72≈7.99607
How many 4 letter combinations are there for SEATTL? No repetition is allowed? (Is there 11 or 15 combinations?)
P=6!÷4!(6-4)!=
6!÷48=
15 possible combinations
Hope this helps!
WHOEVER ANSWERS THIS GETS BRAINLIEST!!!! :)
A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat that forms another spherical shell around the coconut milk.
If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for approximately _[blank]_ in3 of coconut milk.
What number correctly fills in the blank in the previous sentence?
Hint: Find the radius of the inside sphere and use that to calculate the volume.
Use 3.14 for π and round your answer to the nearest hundredth, if necessary, like this: 42.53
Answer:
85.06
Step-by-step explanation:
You have 13 gallons of lemonade to sell. You use cone-shaped cups that are 7 centimeters in diameter and 11 centumeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade?
Does anyone know the answer?
Answer:
12
Step-by-step explanation:
a2+b2=c2 since the hypotenuse is 13 you would square it to get 169 and then you would square 5 and get 25 you would subtract 169-25 and get 144 then you would square root that number and get 12 so then your answer is 12 in.
Nguyen is decorating the room for her sister's baby shower party. She is wrapping
Vietnamese conical hats in baby prints tissue paper to decorate the tables and some
shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If
she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?
A 4.176 in2
B 8.975 in 2
C 10.580 in2
D 36.267 in2
The question is incomplete because the options provided were not correctly written.
Complete question
Nguyen is decorating the room for her sister's baby shower party. She is wrapping
Vietnamese conical hats in baby prints tissue paper to decorate the tables and some
shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If
she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?
A) 4,176 in²
B) 8,975 in²
C) 10,580 in²
D) 36,267 in²
Answer:
C) 10,580 in²
Step-by-step explanation:
The question above is solved by finding the Total Surface area of the the conical hats.
We are given the following values for each hats
Diameter of 16 inches , radius of the hat = Diameter ÷ 2 = 16 ÷ 2 = 8 inches
Height of 9 inches.
The formula for the Total Surface Area of a cone = πr[ r + √(h² + r²)]
= π × 8 [ 8 + √(9² + 8²)]
= 503.7 square inches or 503.7 in²
So, for one hat she would be needing 503.7 square inches or 503.7 in² of Vietnamese tissues.
We are told in the question that she wants to wrap 21 conical hats. Hence,
If 1 conical hats is wrapped with 503.7 in² of Vietnamese tissues.
21 conical hats =
21 × 503.7 in² = 10,577.7 in²
Approximately = 10,580 in²
Therefore, to wrap 21 Vietnamese hats, Nguyen would need 10,580 in² of tissue paper.
Here are the first five terms of a sequence.
3 8 17 30
47
Find an expression, in terms of n, for the nth term of this sequence.
Answer:
So the formula for the sequence is
Second term =first term + (a+nd)
Third term = second term + (a+nd)
And so on
Where n start with zero
Step-by-step explanation:
3 8 17 30 47
First term = 3
Second term = 8
Third term = 17
Fourth term = 30
Fifth term = 47
Second term - first term = 8-3=5
Third term - second term = 17-8= 9
Fourth term - third term = 30-17=13
Fifth term - fourth term = 47-30=17
So the AP is 5 9 13 17
We find out that the common difference is 9-5 = 4
The formula for nth term of the AP is
= a + nd
So the formula fir the sequence is
Second term =first term + (a+nd)
Third term = second term + (a+nd)
And so on
Where n start with zero
Find the value of x in the diagram below. Show your work.
Answer:
x=35
Step-by-step explanation:
the litle square inside of the half circle means its the angle of 90
so just do like that:
90=x+(4x-85)
and u have the answer x=35
Angles y and z are complimentary. If angle y is 18°, what is the measure of angle z?
18°
36°
72°
162°
Answer:
z = 72°
Step-by-step explanation:
Complimentary angles sum to 90° , thus
z + y = 180, that is
z + 18 = 90 ( subtract 18 from both sides )
z = 72°
So the right answer is 72 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Solve the system of equations below.
5.1 – 2y=18
3.x+3y=15
Answer: y= -6.45 and y=5-x
Step-by-step explanation:
Subtract 5.1 from both sides.
-2y= 18-5.1
Simplify 18- 5.1 to 12.9
-2y=12.9
Divide both sides by -2
y= - 12.9/2
Simplify 12.9/2 to 6.45
y=-6.45
Factor out the common term 3.
3(x+y)=15
Divide both sides by 3.
x+y =15/3
Simplify 15/3 to 5.
x+y = 5
Sub. x from both sides
y= 5-x
The freezing point of water is 0°C. Imani's refrigerator is set at 4°C, and her freezer is set at
-19°C. Which change in temperature would bring Imani's refrigerator or her freezer to the
same temperature as the freezing point of water?
-
-19°C
+23°C
-4°C
+15°C
Answer: +23
Step-by-step explanation:
It would be 23 because the difference between -19 and 4 is 23
Answer:
+23
Step-by-step explanation:
I took the test and my teacher helped me and told this was the right answer.
Which expression is equivalent to x1/3
Answer:
1/3y(y + 12) - 12.
Pretty sure it's 1/3y(y + 12) - 12. I'm pretty sure I got it wrong tho.
Pls help me get this correct its not a lot please if you can just finish it with good credit.
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °
Answer: angle 2 is 75 degrees and angle 1 is 105 degrees
Step-by-step explanation:
Answer:
75 and 105
Step-by-step explanation:
1) The extent to which data points from a set of data differ from each other or from the true mean or average.
Answer:
measure of variability
Step-by-step explanation:
Measure of variability shows the extent in which data in a statically distribution differ from an average value as well as how they differ from each other. It shows how much the data falls from the center value (mean) showing the width of the distribution. The most used measures of variability are the range, interquartile range, variance, and standard deviation depending on the data to be measured.
Volume8cm what is side lengths
Answer:
length: 2
width: 2
height: 2
Step-by-step explanation:
I'm assuming this is for a rectangular prism, because you didn't provide a picture.
Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is true? Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard. 3 times 3 = 9 Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height. 3 times 3 = 9 Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant. Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft Times 3 ft Times 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.
Answer:
D
Step-by-step explanation:
Q9:
Angle V and ∠W share a side and the sum of their measures is 180°. What do you know about these angles? Select yes or no. They are complementary angles.
They are a linear pair.
They are vertical angles.
They are supplementary angles.
1. Factor this quadratic function:2x2 + 12x +16
Answer:
4 (3x + 5)
Step-by-step explanation:
Simplify
4 + 12x +16
Simplify
12x + 20
Factor
4 (3x + 5)
Answer:
[tex]2(x+4)(x+2)[/tex]
Step-by-step explanation:
We can start with the observation that every coefficent in the quadratic [tex]2x^2 + 12x +16[/tex] is a multiple of 2. Factoring out the 2, our expression becomes [tex]2(x^2+6x+8)[/tex]. Let's focus on the second term, [tex]x^2+6x+8[/tex]. To factor this, we want to find two numbers that multiply to 8 and add to 6. 4 · 2 = 8 and 4 + 2 = 6, so we can use that fact to split the middle term and factor the quadratic completely:
[tex]x^2+6x+8\\=x^2+2x+4x+8\\=x(x+2)+4(x+2)\\=(x+4)(x+2)[/tex]
Putting that back with the 2 we factored out earlier, our fully factored function is
[tex]2(x+4)(x+2)[/tex]
PLS HELP ASAP
Simplify: (8)2(2)3/(4)3(-2)4 ( the numbers outside the parentheses are to the power to for example the first 2 numbers are 8 to the power of 2)
A) 1/2
B) 2/3
C) 2/9
D) 3/4
Answer:. 1/2
Step-by-step explanation: Different ways to get this.
PEMDAS: figure 8 squared is 64 and 2 cubed is 8. Multiply to get 512 in the numerator.
Figure 4 cubed is 64 and (-2)^4=16. Multiply to get 1024 in the denominator. Simplify to 1/2
You could express all the factors as 2 to some power then add and subtract the exponents.
2^6 •2^3=2^9. Over
2^6 • 2^4 = 2^10. Subtract exponents. 2 to the -1 power is 1/2.
answer my question and i will mark you as brainliest its that easy answer
Answer:
13 degrees
Step-by-step explanation:
85 and A are opposite hence equal so A = 85
98 and C are equal because they are corresponding angles hence C = 98
B and C are in a straight line so they add up to 180
B = 180-98 = 82
Finally, A and B and X add to 180 because they for a triangle
X+85+82 = 180
X= 13 degrees