A 12 foot ladder is leaning up against the side of a building. The bottom of the ladder is 4 feet away from the bottom of the building Approximately how high up the side of the building does the ladder reach? 8 ft 10 ft 11 ft 12 ft
You can use the Pythagoras theorem for this since a right triangle is formed.
[tex]c^2 = a^2 + b^2[/tex]
C = 12
A = 4
B = x
Input values:
[tex]12^2 = 4^2 + x^2[/tex]
[tex]144 = 16 + x^2[/tex]
[tex]128 = x^2[/tex]
[tex]x = \sqrt{128}[/tex]
[tex]x = 11.3137...[/tex]
So, about 11ft.
Find the value of x?
if u get it right u get 50 brainly points
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Angles sum property.
Since the total angle is 90° , hence we get the equation as,
==> 33° + 6x + 3° = 90°
==> 36° + 6x = 90°
==> 6x = 90 - 36
==> 6x = 54°
hence, x = 54/6 = 9°
so, we get as,
==> 6x+3 ==> 6(9)+3 = 54+3 ==> 57°
Answer:
The answer to your question is --- 6x+3 --- 6(9)+3 + 54+3 --- 57°
Step-by-step explanation:
33° + 6x + 3° = 90°
36° + 6x = 90°
6x = 90 - 36
6x = 54°
x = 54/6 = 9°
I hope this helps and have a wonderful day!
Use the law of cosines to write an expression equivalent to b
Given:
A triangle ABC.
The given expression for b is:
[tex]b=\sqrt{m+n-pq}[/tex]
To find:
The expression that is equivalent to b.
Solution:
According to the Law of Cosines,
[tex]b^2=a^2+c^2-2ac\cos B[/tex]
It can be written as:
[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex] ...(i)
We have,
[tex]b=\sqrt{m+n-pq}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=a^2[/tex]
[tex]n=c^2[/tex]
[tex]p=2ac[/tex]
[tex]q=\cos B[/tex]
Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].
The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.
Answer:
3
Step-by-step explanation:
If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:
x÷6=10
x=60
The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:
y÷7=9
y=63
63-60=3
So the new number added is 3
Answer:
3
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Given the mean of 6 numbers is 10, then
[tex]\frac{sum}{6}[/tex] = 10 ( multiply both sides by 6 )
sum = 60
When another number x is added then count is 7
[tex]\frac{60+x}{7}[/tex] = 9 ( multiply both sides by 7 )
60 + x = 63 ( subtract 60 from both sides )
x = 3 ← the number added
What is the term of the highest degree in the expression 3x2y-5xy7+8x4y5-6xy
Answer:
seems hard
Step-by-step explanation:
YEEEEET IT AWAY
Write the sentence as a conditional statement.
Two parallel lines lie in the same plane.
(HELP ASAP)In the figure, if OQ is the angle bisector of ∠POR, find m∠POQ.
Answer:
61°
Step-by-step explanation:
[tex]9x+7=13x-17[/tex], QO Bisector
[tex]x=6\\[/tex], Algebra
[tex]m<POQ = 60[/tex], Algebra/Sub
1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%
Given the following probabilities, determine whether
the events A and B are independent or dependent.
P(a) x p(b) = 2/5 x 1/4 = 2/20 = 1/10
1/10 does not equal 1/9 so the event is dependent
The answer is B ( the second choice)
Mia hired a moving company. The company charged $50l for services, and Mia gives the movers a16% tip how much does Mia tip the movers?
Answer:
$8
Step-by-step explanation:
We are told in the above question:
Mia hired a moving company. The company charged $50l for services, and Mia gives the movers 16% tip
The amount of money that Mia tips the movers is calculated as:
16% of $50
16% × $50
16/100 × $50
= $8
Therefore, Mia tips the movers $8
PLEASE SOLVE FOR ME <3
NO SPAM OR RANDOM ANSWERS INCLUDING LINKS. :/ I RLLY NEED THIS.
Question:
At the dance, soft drinks were 4 for $2.20 this use relationship to fill in the table.
A.) fill in the table:
# of drinks: 1 2 3 4
Princes ($) | | | | |
B.) why is the constant of proportionality?
C.) if you were to buy 22 soft drinks, how much would it cost?
THANK YOU TO WHOEVER ACTUALLY SOLVES THIS <333 :) HAVE A NICE DAY!
Answer:
A)
1 | 0.55
2| 1.1
3| 1.65
4| 2.2
B)
because both the number of drinks and the prices are increasing
C)
12.1
Use this set of number to answer the question.
4, 11, 6, 9, 23, 34, 6, 19,
What is the median for this set of numbers?
A. 6
B. 10
C. 14
D. 16
Answer:
10
Step-by-step explanation:
arrange the number in order from smallest to largest, 4, 6, 6, 9, 11, 19, 23, 34. you then find the middle number, in this case there is no middle number, but 9 and 11 are the closest, so you add those to together to get 20, then divide by 2. this gives you ten
if you have any questions, leave them in the comments and i will try to answer them, if this helped pls give brainliest
Answer:
Hello There!!
Step-by-step explanation:
Median is ordering the numbers from smallest to biggest.
Ordered: 4,6,6,9,11,19,23,34
And there is no middle number so you have two add the two middle numbers 9+11=20 then divide by 2 which equals 10.
hope this helps,have a great day!!
~Pinky~
A cube has a side length of 5x cm. What is the volume of the cube?
Answer:
125x^3 cm^3
Step-by-step explanation:
The volume of a cube of side length s is V = s^3.
If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3
Gimme the answer pls it’s due today pls!!!!!!!
Answer:
[tex]\frac{33}{38}[/tex]
Step-by-step explanation:
14 basketball
19 baseball
5 neither
14 + 19 + 5 = 38
14 + 19 = 33
[tex]\frac{33}{38}[/tex]
Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?
Given:
A right angle triangle with legs x and 10.
The angle opposite to the side with measure 10 is 33 degrees.
To find:
The value of x.
Solution:
We know that, in a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]
[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]
[tex]x=15.39864[/tex]
[tex]x\approx 15.4[/tex]
Therefore, the value of x is 15.4 units.
what is 1 x (a + 3) = a + 3
Answer:
[tex]\huge\boxed{a\in\mathbb{R}}[/tex]
The solution is the set of all real numbers.Step-by-step explanation:
[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]
Answer:
See the Image below:)
ITS TRUE
SOLUTION ALL REAL NUMBERS
Step-by-step explanation:
Help me and show work plz <3
Answer:
0.8^4
Step-by-step explanation:
Write the expression using exponents.
[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]
___________________Solution :-Given Information :-Expression ➢ 0.8 · 0.8 · 0.8 · 0.8 To Find :-The value of the expression using exponents. Calculation :-Since, the expression is actually the repetition of 0.8, so we can write this as,
⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴
Calculating further, We get,
⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]
⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]
Calculating further, We get,
⇒ ( 0.8 )⁴ = 0.4096
∴ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096
____________________Final Answer :-0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096____________________the taxi driver charges a $4 flat fee p
+ $6 per mile for each ride Berry only has $22 to pay for taxi ride how many miles can you ride in the taxi
Answer:
3 miles
Step-by-step explanation:
22-4 so 18 dollars left
18/6 = 3, so 3 miles
Answer:
3 miles
Step-by-step explanation:
Berry only has $22
Subtract the flat fee, $4, so 22-4=18
$18 divided by $6/mile = 3 miles
The sum of three numbers is fifty-four. The second number is four times the first number, and the third number is six more than the first number. What are the three numbers?
Answer:
8 , 32 AND 14
Step-by-step explanation:
A recipe calls for 1/3 cup of sugar for every 1/2 teaspoon of vanilla. What is the unit rate per teaspoon? Remember to divide to find unit rate. Unit rate is the value of one item per something.
Answer:
0.6 I think ........................
What is the value of h?
Answer:
6.
Step-by-step explanation:
626×10−34
Answer:
h= 5.7
Step-by-step explanation:
trust me pls ill show work if u need me to
Help plz..And No links!! I repeat No links!!
This is Right answer....
I hope you understand....
give me Brainliest.....
Thanks....
please include work
Answer:
[tex] \frac{ \sqrt{3} }{2} x = 15 \\ x = \frac{30}{ \sqrt{3} } = 10 \sqrt{3} \\ \\ area = \frac{3 \sqrt{3} }{2} {x}^{2} = 15 \times 3 \times 10 \sqrt{3} = 450 \sqrt{3} [/tex]
This one is very confusing please help.
Answer:
H was (Hx,Hy) goes to (Hy,-Hx)
G was (Gx,Gy) goes to (Gy,-Gx)
I was (Ix,Iy) goes to (Iy,-Ix)
Step-by-step explanation:
Rotating about the (0,0), the distance from any point to the origin (the hypotenuse of the triangle formed) never changes. A 90 clockwise rotation moves the point to the next quadrant, so side a and side b must flip to maintain the distance. You just need to flip the coordinates and change the sign of the new Y. If you plot a few random points and use a compass to rotate them 90 I think you will find this works.
You ran 10 blocks in 5 minutes, and you ran at a consistent speed, how long did it take to run 1 block?
Answer:
30 seconds
Step-by-step explanation:
10 ÷ 10 = 1 block
5 ÷ 10 = 0.50
0.50 of a minute is 30 seconds
I WILL GIVE YOU BRAINLIEST ANSWER IF YOU GET IT CORRECT!
Laura is donating two boxes of books
to the library. One box has a mass of
9 kilograms. The other box has a mass
of 7 kilograms. What is the total mass
of the two boxes in grams?
Answer:
16000 grams
Step-by-step explanation:
9(1000) + 7(1000) = 16000
To balance a seesaw, the distance a person is from the fulcrum is inversely proportional to his or her weight . Roger , who weighs 120 pounds is sitting 6 feet from the fulcrum . Ellen weighs 108 pounds . How far from the fulcrum must she sit to balance the seesaw ? Round to the nearest hundredth of a foot .
Answer:
[tex]d_e =6.67ft[/tex]
Step-by-step explanation:
From the question we are told that:
Weight of Roger [tex]W_r=120\ pounds[/tex]
Distance of Roger from fulcrum [tex]d_r=6 ft[/tex]
Weight of Ellen [tex]W_e=120\ pounds[/tex]
Generally the equation for distance-weight relationship is mathematically given by
[tex]d\alpha \frac{1}{W}[/tex]
[tex]\frac{d_1}{d_2} =\frac{W_2}{W_1}[/tex]
[tex]\frac{d_r}{d_e} =\frac{W_e}{W_r}[/tex]
Therefore
[tex]\frac{d_e}{d_r} =\frac{W_r}{W_e}[/tex]
[tex]d_e =\frac{W_r*d_r}{W_e}[/tex]
[tex]d_e =\frac{6*120}{108}[/tex]
[tex]d_e =6.67ft[/tex]
Therefore the distance from the fulcrum she must sit to balance the seesaw is given as
[tex]d_e =6.67ft[/tex]
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
G(x) = (x^2 +2)
Step-by-step explanation:
The graph moved to the left 2 units, therefor that is the equation :)
The equation of the blue graph will be G(x) = (x² +2).
What is a qudratic function?In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.
A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.
The given equation of the red graph is,
F(x) = x²
The graph moved to the left 2 units, hence the equation can be written as,
G(x) = F(x) + 2
G(x) = x² + 2
To know more about quadratic function follow
https://brainly.com/question/25841119
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I need help with this problem
"Solve for x
4x ≤ 12"
Please someone help me
x ≤ 3
Step-by-step explanation:
4x ≤ 12
divide each side by 4
x ≤ 3
[tex] \frac{1}{x^{2} - 1 } - \frac{1}{x - 1} [/tex]
Answer:
-x/x^2-1
Step-by-step explanation:
-x^2+x/x^3-x^2-x+1
x(-x+1)/(x+1)(x-1)(x-1)
-x/x^2-1