Answer:
20ft
Step-by-step explanation:
Height from the ground=16ft
distance from wall= 12ft
length of the stick=?
According to the Pythagoras theorem the square of the hypotenuse is equal to the sum of the squares of the opposite sides.
Here the stick is the hypotenuse.
[tex]12^{2} +16^{2} = x^{2}[/tex]
144+ 256= [tex]x^{2}[/tex]
[tex]x^{2}[/tex]= 400
[tex]x=\sqrt{400} \\x= 20[/tex]
Hence the length of the stick is 20ft.
Hope this helps.
show that there do not exist scalar c1 c2 and c3 c1(-2,9,6)+c2(-3,2,1)+c3(1,7,5)= (0,5,4)
This is the same as showing the following system of equations doesn't have a solution:
[tex]\begin{cases}-2c_1-3c_2+c_3 = 0 \\ 9c_1 + 2c_2 + 7c_3 = 5 \\ 6c_1 + c_2 + 5c_3 = 4\end{cases}[/tex]
or in matrix form,
[tex]\begin{bmatrix}-2&9&6\\-3&2&1\\1&7&5\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\5\\4\end{bmatrix}[/tex]
The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.
And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:
(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)
So there are indeed no such scalars c₁, c₂, and c₃.
round 6.7 to the nearest whole number.
Answer:
7[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Examples of rounding?
Answer:
Rounding means making a number simpler but keeping its value close to what it was.
Step-by-step explanation:
Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80. ... But 76 goes up to 80.
Jarell is grocery shopping for his BBQ cookout this weekend. He is grilling 13lb. burgers and expects about 20 people. How many whole lbs. of ground beef should be purchase?
Jarrell should purchase 7 lbs of ground beef.
Number of attendees = 20
Fraction of burger per person = 1/3 lbs
Total fraction of burger required to feed 20 persons :
Number of attendees × fraction per person
20 × 1/3 = 6.667
The number of whole grouhd beef that should be purchased is 7 lbs
Learn more : https://brainly.com/question/2610134
The temperature at the begſnning of the day was - 3°F. The temperature dropped 2°F by the end of the day.
What was the temperature at the end of the day? Use the number line model to find – 3-2.
Answer:
- 5°F
Step-by-step explanation:
- 3°F - 2°F
(-3) - 2
-5
- 5°F
Hello! i need help with these 3 questions.
-Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}
Answer:
10 is B
11 is C
12 is C. Simple set rules
helppppp maybee pplsss
Answer:
CD and BE
BC and DE
...........
How many solutions does the nonlinear system of equations graphed
below have?
Y=-1/64(x-16)^2+4 Y=-1/2x-4
9514 1404 393
Answer:
2
Step-by-step explanation:
The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.
There are 2 solutions to the graphed system of equations.
Ages Number of students
15-18 5
19-22 7
23-26 8
27-30 7
31-34 2
35-38 4
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 35
Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "%" after your answer).
Answer:
35 is the answer
Step-by-step explanation:
Find the area of the sector of the circle Radius. 7kmCentral angle. 2pi over 3
Show steps
9514 1404 393
Answer:
51.3 km²
Step-by-step explanation:
The area formula is ...
A = 1/2r²θ . . . . where θ is the central angle in radians
A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²
Evaluate the exprssion when a= -5
a2+6a-9
Answer:
-49
Step-by-step explanation:
Substitute the a for -5
2(-5)+6(-5)-9
Multiply:
-10+-30-9
Add:
-40-9
Subtract (Add negatives):
-49
Hi there!
»»————- ★ ————-««
I believe your answer is:
-14
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the equation. 4x2 + 20 = -7
solve for m.
-6(1+8m)=-342
Answer:
m is 7
Step-by-step explanation:
[tex]{ \sf{ - 6(1 + 8m) = - 342}}[/tex]
divide all sides by (-6) :
[tex]{ \sf{ \frac{ - 6(1 + 8m)}{ - 6} = \frac{ - 342}{ - 6} }} \\ \\ { \sf{1 + 8m = 57}}[/tex]
make m the subject:
[tex]{ \sf{8m = 56}} \\ { \sf{m = 7}}[/tex]
The difference of two numbers is 16, and their sum is 20. What are the two numbers?
Answer:
18 and 2
Step-by-step explanation:
18-2=16
18+2=20
Hi ;-)
[tex]\{x-y=16\\+\{x+y=20\\--------\\2x = 36 \ \ /:2\\\boxed{x=18}\\18+y=20 \ \ /-18\\\boxed{y=2}[/tex]
These numbers are 18 and 2.
Can someone pls help me
I will mark u as Brainliest
Answer:
C
Step-by-step explanation:
because when you reflect it the figure A on the y-axis, it looks the same as A*, and when you move it 5 units down both figures are at the same place, showing that the shapes are congruent.
Which describes the relationship between the distance and the difference?
Answer:
Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. ... The distance is the absolute value of the difference.
Is 66.06 a irrational number
Answer:
No.
Step-by-step explanation:
No because it can be written as a fraction, 6606/10
If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red or yellow
Add the two fractions together but first rewrite the fractions with a common denominator.
4/15 = 8/30
3/10 = 9/30
8/30 + 9/30 = 17/30
Answer: 17/30
The fraction is 17/30.
What is fraction?fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
For example.
The following figure shows a pizza that is divided into 8 equal parts. Now, if we want to express one selected part of the pizza, we can express it as 1/8 which shows that out of 8 equal parts, we are referring to 1 part.
Given:
4/15 of the candies in a bag of Skittles are red
3/10 are yellow
So, make the denominator of both fraction same by LCM
4/15 = 8/30
3/10 = 9/30
Now,
8/30 + 9/30 = 17/30
Hence, the fraction is 17/30.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
What is the correct way to notate the shaded
region indicated by this Venn Diagram?
The correct notation will be A∪B and it can be read as A union B
In the given Venn diagram we can deduce the following;
U: this is the universal set, it comprises all the elements in set A and set B, as well as the compliments of set A and set B.A: this is include the elements contained in set AB: this include the elements contain in set BA∩B: this includes the elements in common for both set A and set B. This is often read as A intersect B.A∪B: this include all the elements contained in both set A and set B. This often read as A union B.The shaded region in the Venn diagram includes all the elements in set A and all the elements in set B.
Thus, the correct notation will be A∪B and it can be read as A union B.
Learn more here: https://brainly.com/question/12971859
A Venn Diagram is a diagram used to define sets.
Here we will find that the notation of the shaded region is: A ∪ B
To know this, we need to define all of the notations in the options:
A ∩ B: This is the intersection of sets A and B, so this is the set of the elements that belong to both sets.A ∪ B: This is the set of all the elements that belong to either A or B (or both)A ⊂ B: This means that set A is included in B¬A (or a set with a line on top): Represents the set of all the elements that do not belong to A.So with these general notations, is easy to conclude that if we have shaded sets A and B completely, then we have the set: A ∪ B
The correct option is C.
If you want to learn more about sets, you can read:
https://brainly.com/question/21609474
find the solution to this systems of equations
Answer: I dont know
Step-by-step explanation:
Answer:
x= -y+1
y=2x+z−1
z=−x−2y+ 8 /3
Step-by-step explanation:
I honestly entered it into a algebra calculator which gave me the steps.
Find the equation of the line with the slope 3/2 through the point (-6,2)
Step-by-step explanation:
y-y1=slope (x-x1)
where x1=-6,y1=2 and slope=3÷2
y-2=3÷2{x-(-6)}
y-2=3÷2(x+6)
y-2=(3x+18)÷2 cross multiply
2y-4=3x+18 collect like terms
2y=3x+18+4
2y=3x+22....ans
Hourly rate: $3.82; Hours: 24; What are the total earnings
Answer:
$91.68
Step-by-step explanation:
$3.82 × 24 = $91.68
Answer: $91.68
Step-by-step explanation:
Given information
Hourly rate = $3.82
Hours = 24
Given expression deducted from the given information
Total earning = Hours × Hourly rate
Substitute values into the expression
Total earning = (24) × (3.82)
Simplify by multiplication
Total earning = $91.68
Hope this helps!! :)
Please let me know if you have any questions
Class 8 squares and square roots without adding find the sum of a) 1+3+5+7+9+11+13+15+17.
Answer:
given
n=9
a=1
d=3-1=2
Step-by-step explanation:
now , by formula,
sn = n/2(2a+(n-1)d)
= 9/2(2×1+(9-1)×2)
=9/2×18
=81
An equation for the difference between the time is 38.4 - a= 9.59. The others time was
Answer:
Presumably the "others time" is the quantity [tex]a[/tex], which is 28.81
Step-by-step explanation:
Let's solve for [tex]a[/tex] from
[tex]38.4-a=9.59[/tex]
Adding [tex]a[/tex] gives
[tex]a+9.59=38.4[/tex]
Then subtracting 9.59 gives
[tex]a=38.4-9.59=28.81[/tex]
Helen and Rebecca baked some muffins in the ratio 2:5. After Helen baked another 12 muffins, the ratio become 1:2. How many muffins did Helen bake altogether?
=========================================================
Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
Helen = 2x+12 = 2*24+12 = 48+12 = 60Rebecca = 5x = 5*24 = 120Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
2x = 2*24 = 485x = 5*24 = 12048:120 reduces to 2:5 after dividing both parts by 24This helps confirm we have the correct answer.
Which is an example of a unit rate?
Answer:
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Carson is hiking a trail that is 12 kilometers long. one-fourth of the way through the course, he stops to rest. how many meter does carson have left to hike on the trail after he rests?
Answer:
9000 m
Step-by-step explanation:
One: Note that the answer is supposed to be in meters. It's easier if we just convert the 12 kilometers to meters now so we dont' have to worry about it later. 1 kilometer is 1,000 meters, so all we need to do is add three zeros to the end to make it meters:
12km=12,000m
Two: 1/4 means to divide by 4: 12,000/4= 3,000.
Three: The question is asking how much is LEFT. So we would do 12,000-3,000, which is 9000.
Distributive Property to find 83x7
Answer:
Step-by-step explanation:
This is a handy thing to know how to do.
83 = 80 + 3
7*(80 + 3)
560 + 21
581
the square of a positive number is always ________
fill in the blanks
Answer:
the square of a positive number is always positive
The fifth grade class donation consisted of 1/5 pasta boxes and 6/15 cans of soup. What fraction of their total donation was vegetables?
Answer:
None?
Step-by-step explanation: