11x+6=12x-4
6-4=12x-11x
therefore x=2
simple
A ladder is leaned against a wall that is six feet tall, so that the top of the ladder is resting on the top
of the wall. The ladder is inclined at an angle of thirty degrees. Find the distance from the bottom of
the ladder to the base of the wall. Round your answer to the nearest tenth of a foot. Do not include
units in your answer.
Answer:
[tex]10.4[/tex]
Step-by-step explanation:
The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.
In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is distance between the bottom of the ladder to the base of the wall:
[tex]\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}[/tex].
5.solve for x 6. solve for x
Answer:
x=10 , x=13
Steps:
5.
4x+5x=180-90
9x=90
x=90/9
x=10
6.
(3x+7)+(2x+3)=180-105
5x+10=75
5x=65
x=65/5
x=13
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]
[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]
⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]
⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]
----------------------------------------------------------
✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]
[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]
⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]
⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]
⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]
Hope I helped ! ✧
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer!
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Robert rented a web address for his company's website. His contract required a fee of $25 a month for the web address. However, Robert receives a $0.13 discount for every friend he refers to during a month. There is also a special new customer discount of 15% off the first month. What is Robert's first month's bill, if he refers 6 friends?
Answer: $20.59
Step-by-step explanation:
0.13 * 6 = 0.78
25 - 0.78 = 24.22
85% * 24.22 = 20.59
15.00 + 1.75x > 7.50 + 2.25
Answer:
Step-by-step explanation:
Can you help me with this math problem?
(x+ 2) ^ 2
(squared)
thankyou
Jack learned four appetizer recipes over the course of 2 weeks of culinary school. After 5 weeks of culinary school, how many total appetizer recipes will Jack know? Assume the relationship is directly proportional.
Answer:
10 appetizers
Step-by-step explanation:
4/2 = x/5
20 = 2x
x = 10
For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
Find the missing length.
9514 1404 393
Answer:
c = √73
Step-by-step explanation:
The Pythagorean theorem tells you that ...
c² = a² + b²
The sides you choose to call 'a' and 'b' don't matter. We can let 'a' be the left side and 'b' be the top side. Then we have ...
c² = 3² +8² = 9 + 64 = 73
Taking the square root gives ...
c = √73
Answer:
c = [tex]\sqrt{73}[/tex]
Step-by-step explanation:
c is the hypotenuse ( side opposite to the right angle )
So,
[tex]c^{2}[/tex] = [tex]8^{2}[/tex] + [tex]3^{2}[/tex] (Pythagoras theorem)
c = [tex]\sqrt{64 + 9}[/tex]
c = [tex]\sqrt{73}[/tex]
Please help me please I’m begging you , no wrong answers
Algebraic form of an arithmetic sequence is 3/7n+1. What is
the first integer term of this sequence?
Answer:
First term = 10/7
Step-by-step explanation:
Given:
n term of arithmetic sequence = 3/7(n)+1
Find:
First term
Computation:
First term n = 1
So,
3/7(n)+1
3/7(1)+1
3/7 + 1
First term = 10/7
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
Please help me ASAP
Answer:
b
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
graph the solution to this inequality on the number line. -4x+7>x-13
Answer:
the solution is x<4 (color green)
Step-by-step explanation:
hello :
draw the graph for the line : y= x-13 ( color bleu)
draw the graph for the line : y= -4x+7 ( color red)
the solution is x<4 (color green)
'Five times a number minus eight is 17.5.
Answer:
5.1
Step-by-step explanation:
you need to work backwards.
so do 17.5 + 8 then divide by 5 to get 5.1
i hope this helps :)
PLS NEED HELP DON'T UNDERSTAND ONE PART
Answer:
Step-by-step explanation:
Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees
Answer = 1800 degrees
Hope that helps!
Answer: .
Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.
Make s the subject of the formula
Answer:
choose option E.
Step-by-step explanation:
Given
t² = 2p + as
.Making s as the subject
as = t² - 2p
s = ( t² - 2p) / a
t² = 2p + as
t² - 2p = as
(t² - 2p)/a = s
s = (t² - 2p)/a , answer = E
what is 15% of a circlee in degrees
Solve the system of linear equations by substitution.
6x - 9 = y
y=-3x
Point Form: ( 1 , − 3 )
Equation Form: x = 1 , y = − 3
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Brainliest or a thank you please! have a great day/night
How would you describe the slice that created the rectangular
cross-section on this cake?
A-perpendicular to
the base
B. diagonal to the
base cutting off
exactly 1 vertex
C. diagonal to the
base cutting off
exactly 1 edge
D. parallel to
the base
Answer:
The answer is perpendicular to the base.
Step-by-step explanation:
Answer:
The answer is perpendicular to the base.
Step-by-step explanation:
Took the quiz! :)
The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
b/6 ≤ 7
–4.5c > 9
–21/5 ≤ –5/2d
Please I need this answer right away!!!
Answer:
No, no, yes, yesStep-by-step explanation:
–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5
no as variable has positive coefficientb/6 ≤ 7 ⇒ b ≤ 42
no as variable has positive coefficient–4.5c > 9 ⇒ c < - 2
yes as variable has negative coefficient–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25
yes as variable has negative coefficient4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!
Answer:
x= 5
Step-by-step explanation:
You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.
Needed help! Answer when possible.
Answer:
The word "solution" means an action or process of solving a problem
99 is a solution to 1/9x = 11 because multiplying both side of the equation by 9 makes x = 99
are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10
find the value of a,b,y, and z
Answer:
^ACD= 90+60+x=180
^ACD=150+x=180
^ACD=x=30.
^DCB=60.
^CDB=90
Find the 11th term of the geometric sequence 6, -18,54, ...
Answer:
354294
Step-by-step explanation:
a1 = 6, r = -3
an = a1 * r^n-1 (formula)
a11 = 6 * (-3)^11-1
a11 = 6 * 590949 = 354294
a11 = 354294
Find the measure of angle a.
Answer:
a = 127°
Step-by-step explanation:
The 3 angles lie on a straight line and have a sum of 180°, that is
15° + a + 38° = 180°
53° + a = 180° ( subtract 53° from both sides )
a = 127°
I only need b par plz ฅ^•ﻌ•^ฅ
Find the side length of a square with
area 16/49 square inches.
The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]
Given the following data:
Area of a square = [tex]\frac{16}{49}[/tex] square inches.To determine the side length of this square:
In this exercise, you're required to solve for the length of the sides of a square that has an area of [tex]\frac{16}{49}[/tex] square inches.
Formula for the area of a square.Mathematically, the area of a square is calculated by using the formula;
[tex]A=S^2[/tex]
Where;
S is the length of each sides of a square.Substituting the value into the formula, we have;
[tex]\frac{16}{49}=S^2[/tex]
Taking the square root of both sides, we have;
[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]
Read more on area of a square here: https://brainly.com/question/16758129
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation: