Answer:
28.9 m
Step-by-step explanation:
30²-8²=900-64= 836
√836 = 28.9 m
The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
What is pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Here, Given, length of ladder ( Hypotenuse ) = 30 ft.
Distance from base = 8 ft.
By Pythagoras theorem,
Hypo.² = perp.² + base²
30² = x² + 8²
900 = x² + 64
x² = 900 - 64
x² = 836
x = √836
x = 28.91 ft.
Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
Learn more about Pythagoras theorem from:
https://brainly.com/question/343682
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24 6 2 9 3=5 make it true
Answer:
24-6-9-2-3+2+2-3 = 5
Step-by-step explanation:
I hope this helps!
What two numbers multiply to the value of -10 and add to the value of -3
Answer:
-5 and 2
Step-by-step explanation:
-5+2=-3
-5*2=-10
Which system has infinitely many solutions?
Answer:
D
Step-by-step explanation:
because both are x and y and they can be any number so no matter what the number is it will equal 4 and 2.
can someone help?
The perimeter of the triangle is 45cm.
Calculate the length of the hypotenuse.
I try it
Answer:
28.36
Step-by-step explanation:
Perimeter = 45
Perimeter = 2x + 3 + x + 6x + 1
2x + 3 + x + 6x + 1 = 45
9x + 4 = 45
9x = 45 - 4
9x = 41
X = 41/9
X = 4.56 or 4.6 (base on how may decimal places)
Hypotenuse
=6x + 1
= 6(4.56) +1
=38.36
Or
Hypotenuse
=6x +1
= 6(4.6) +1
=28.6
PLEASE hello please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9
If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.
Answer:
Third zero is 4
Step-by-step explanation:
The polynomial is;
f(x) = x³ − 4x² − 3x + 12
We are given 2 zeros which are √3 and -√3.
This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.
Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.
I have attached this long division method and we have the third factor as; (x - 4)
Equating to zero, we have x = 4 as the third zero of the polynomial
Daily Common
Core Review
15-2
pns.
5. Which is the greatest length: 2 miles,
4,112 yards, or 167,616 inches?
Answer:
4,112 yards
Step-by-step explanation:
because I said so
Which is bigger 1/7 or 0.14
Answer:
Both are equal
Step-by-step explanation:
please mark me brainliest
Answer:1/7
Step-by-step explanation:
Evaluate.
9.2x10-^8
—————-
2.3x10^3
1.6.9 x 10^-11
2.4.0 x 10^-11
3.4.0 x 10^-5
4.6.9 x 10^-5
Step-by-step explanation:
[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]
FOLLOW ME ON TWITCH 1mr46n0ob1
Someone pleaseeee answer
Answer:
A
Step-by-step explanation:
We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.
5x ≥ 0 implies that x ≥ 0x + 3 ≥ 0 implies that x ≥ -3Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.
Sigmund picked a pair of socks out of his drawer without looking in the drawer. Sigmund has 3
pairs of black dress socks, 4 pairs of brown dress socks, 3 pairs of black sport socks, and 5
pairs of white sport socks. What is the probability that Sigmund will select a pair of black socks or a pair of sport socks?
Answer:
The chance of getting a pair of black socks is 73.33%
Which expression is not a trinomial?
A. x^4+x-2
B. 3x^3 +3^3
C. 2x^3 + x^2 - 4x - 2x^3 +1
D. x^2+x+1
Answer:
Option D.
Its a Polynomial or Binomial of index 2
List the members of each of the following sets: IF U = {0, 1, 2…..9} A= {0, 2, 4, 6, 8} B= {1, 3, 5, 7, 9} C= {1, 2, 3, 8} D= {4, 5, 6, 7} , Find A U C
Answer:
AUC={0,1,2,3,4,6,8}
hope it helps.
stay safe healthy and happy.C = {1, 2, 3, 8}
A U C = {0,1,2,3,4,6,8}
If a circle has a circumference of 43.96 units, what is the approximate area of the circle? (Use 3.14 as an
approximation of pi.)
Answer:
If we were to use 3.14 as pi . . .
43.96/3.14 = 14
14/2 = 7
7 x 7 = 49
49 x 3.14 = 153.86
153.86 would be the correct answer
But if we were to use pi. . .
615.1279985 would be the answer.
Answer:154 rounded to whole number
Step-by-step explanation:
C=pi ×d
43.96 = 3.14 ×d
d= 43.96÷3.14
d= 14
So radius is 7 (half of diameter)
Area=3.14×7×7
=153.86
HELP PLEASEEE!!! Which technique is most appropriate to use to solve each equation?
Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one
Step-by-step explanation:
7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .
Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128
Can someone help me please
Answer:
its A
Step-by-step explanation:
it is a because its -9 down and 7 to the right
0.16x^2-49, factor using special products
Answer:
(.4x+7)(.4x-7)
Step-by-step explanation:
Use the following diagram to find the sum of angle A and angle C.
A. 45 degrees
B. 90 degrees
C. 115 degrees
D. 180 degrees
E. 270 degrees
Answer:
[tex]a + c = 180 - 65 = 115[/tex]
Can someone Please help me find the area of the square I already know the perimeter.
Answer:
36
Step-by-step explanation:
6 x 6= 36
 someone help on number 2
Answer:D
Step-by-step explanation:
I'm prolly wrong so sorry
Answer:
I think it's 'D'
hopefully it's correct!
Two sides of a triangle are labeled as 7 units and 12 units. What is the range of
possible values for the third side?
F 2 < x < 17
G 7 < X < 12
H 5 < x < 17
J 5 < x < 19
please help!!
show work(factoring)
u^4 - 3u^2 - 4
PLEASE HELP PLEASE HELP
Answer:
B) 24
Step-by-step explanation:
The area of the rectangle is 48 units (8 x 6).
The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.
b = base
h = height
A = [tex]\frac{1}{2}[/tex](6)(8)
A = 24
Answer:
[tex]24[/tex]
Step-by-step explanation:
If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.
Help pls!!!!!!!!!!!!!!
Answer:
46°
Step-by-step explanation:
tan Ф = 21/20
Ф = tan-1 (21/20)
= 46°
Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number to student tickets sold and the number of adult tickets sold at the most recent home football game if a total of 680 people purchased tickets and the ticket booth sold 3,914 worth of tickets. Does anyone know the equation? Tysm in advance tho if you help!
Answer:
x + y = 680
5x + 7y = 3914
Step-by-step explanation:
Let the amount of students who purchased tickets equal x.
Let the amount of adults who purchased tickets equal y.
If you add the amount of adults and students, you get the total amount of people:
x + y = 680
Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:
5x + 7y = 3914
These are the two equations:
x + y = 680
5x + 7y = 3914
1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?
Answer:
10 guests
Step-by-step explanation:
Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.
Let us represent additional guests = g
Lazer Zone charges $50 for parties, and an additional $10 per guest.
=$50 + $10 × g
50 + 10g
For fun place
Fun Palace charges $90 for parties, and an additional $6 per guest.
= $90 + $6 × g
90 + 6g
For how many ?
We equate both Equations together
= 50 + 10g = 90 + 6g
Collect like terms
10g - 6g = 90 - 50
4g = 40
g = 40/4
g = 10
Hence, g = 10 guests
Therefore, the number of guests for which the cost of both companies is the same is 10 guests
Which function describes the graph below?
Answer:
Step-by-step explanation:
There are no pics
Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?
Answer:
They will both have a height of 16 inches in 4 days.
Step-by-step explanation:
Hope this helps :D