Answers
Answer:
Step-by-step explanation:
Hypotenuse = Length of ladder = 10m
Distance between wall and end of the ladder at ground = leg ² = 2 m
Height of wall = x m
Use Pythagorean theorem
leg² +x² = 10²
2² + x² = 100
4 +x² = 100
x² = 100 -4
x² = 96
x = √96
x = 9.7979
x = 9.798 m
Related Questions
1. Look at the numbers listed below. Which numbers are rational? Select all that apply.
9.1874639...
424, 489
121
5/3
Answers
“The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers”
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
Of(x) = -51% + 87 - 1
O f(x) = -3.2? + 4.1 - 1
Of(t) = -202 + 5x - 1
Of(1) = -3.1? + 10.1 - 1
Answers
Answer:
The correct option is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
Given the points
(-1, -8), (0, -1), (1, 2), we have;
The general quadratic function;
f(x) = a·x² + b·x + c
From the given points, when x = -1, y = -8, which gives
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.....................................(1)
When x = 0, y = -1, which gives;
-1 = a·0² + b·0 + c = c
c = -1.....................................................(2)
When x = 1, y = 2, which gives;
2 = a·1² + b·1 + c = a + b + c...............(3)
Adding equation (1) to (3), gives;
-8 + 2 = a - b + c + a + b + c
-6 = 2·a + 2·c
From equation (2), c = -1, therefore;
-6 = 2·a + 2×(-1)
-2·a = 2×(-1)+6 = -2 + 6 = 4
-2·a = 4
a = 4/-2 = -2
a = -2
From equation (1), we have;
-8 = a - b + c = -2 - b - 1 = -3 - b
-8 + 3 = -b
-5 = -b
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1
The correct option is f(x) = -2·x² + 5·x - 1.
the set is points indicated by 12.is the ___ of the angle
Answers
Answer:
Vertex
Step-by-step explanation:
The vertex is the point were two rays meet to form an angle.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I need help It’s honors 7 math pls help
Answers
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
Answer:
411,600.000× 10^3 OR 4.11600000×10^8
Step-by-step explanation:
The expontent seems to be 3 so you move the decimal point over <this way 3
if it is 8 you move it over this way < 8
What is the solution to the equation below? (round your answer two decimal places)
e^x=7.1
Answers
Answer:
Step-by-step explanation:
In order to undo that e, you need to take the natural log of both sides:
[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with
x = ln(7.1) so
x = 1.96
PLZ Help! I'm crying over this....
Answers
Answer:
D
Step-by-step explanation:
The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.
From the graph we can tell that the distance of the car is a function and it's a line
Answered by G a u t h m a t h
Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a second equation for a line passing through the point (5,-5) that is perpendicular to the line x=-2.
Answers
Answer:
1. y=-2x+5
2. y=1/2x-7.5
Step-by-step explanation:
you plug in the cordinates for the y intercept and you already have the slope.
y=mx+b
m= slope which is -2
if n(p(a)) = 256. find n(a)
Answers
n(p(a)) = 256
256 = 2^8
n(a) = 8
Must click thanks and mark brainliest
Use linear regression to predict the length of a 40-month-old animal. The ages and lengths of several animals of the same species are recorded in the following table: (2 points)
Answers
Answer:
Aw what animal
Step-by-step explanation:
Srry I need pointse
which value of -7(x2-6)+2y when x=2 and y=6
Answers
Answer:
Solution
= -7 (x2 -6) +2y
= -7 ( 2*2 - 6 ) + 2 * 6
= -7 ( 4 - 6) + 12
= -7 - 2 + 12
= - 9 + 12
= 3
I hope this help u :)
Find the value of x.
Answers
Answer:
x = 10
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
6*x = 12*5
6x = 60
Divide by 6
6x/6 = 60/6
x = 10
Answer:
[tex]\huge\boxed{x = 10}[/tex]
Step-by-step explanation:
According to chord-chord theorem:
(x)(6) = (5)(12)
6x = 60
Dividing both sides by 6
x = 10
Find the area of the following shape. Please show work.
Answers
Answer:
Step-by-step explanation:
The area of a triangle is given by the formula:
● A = (b×h)/2
b is the base and h is the heigth.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Draw the heigth. This gives you two small right triangles.
Let's focus on the right one containing 45°.
● sin 45° = h/8
● h = sin 45° × 8 = 4√(2)
■■■■■■■■■■■■■■■■■■■■■■■■■■
Replace h by its value in the area formula. The base is 17
● A = (17× 4√(2))/ 2
● A = 34√(2)
● A = 48.08
Round to the nearest unit
● A = 48
Answer:
Area = 48 sq. units
Step-by-step explanation:
will make it short and simple.
area of a triangle = 1/2 * a * b * sinФ
area = 1/2 * 17 * 8 * sin(45°) = 48 sq. units
if one square yard of carpet costs $15.40, how much will 45.5 square yards cost? ( value only, no commas, dollar signs, symbols, or units)
Answers
Work Shown:
1 square yard = 15.40 dollars
45.5*1 square yard = 45.5*15.40 dollars
45.5 square yards = 700.70 dollars
In the second step, I multiplied both sides by 45.5 to turn the "1 square yard" into "45.5" square yards.
Find the value of x if 2x-1÷3 is greater than 1-3x÷4 by 1
Answers
[tex]\\ \sf\longmapsto \dfrac{2x-1}{3}-\dfrac{1-3x}{4}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{4(2x-1)-3(1-3x)}{12}=1[/tex]
[tex]\\ \sf\longmapsto 8x-4-3+9x=12(1)[/tex]
[tex]\\ \sf\longmapsto 17x-7=12[/tex]
[tex]\\ \sf\longmapsto 17x=12+7[/tex]
[tex]\\ \sf\longmapsto 17x=19[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{19}{17}[/tex]
5x-1/3=4
5x-1=12
5x=13
X=2.6
5000 x 10 x 10 x 50
Answers
Answer:
5000 x 10 x 10 x 50 = 25000000
Step-by-step explanation:
you can just use a calculator....
Answer:
25000000
Step-by-step explanation:
A researcher performs a hypothesis test to test the claim that for a particular manufacturer, the mean weight of cereal in its 18 ounce boxes is less than 18 ounces. He uses the following hypotheses: H 0: μ = 18 vs H A: μ < 18 and finds a P-value of 0.01. Draw a conclusion about the cereal box weight at a significance level of 0.05.
Answers
Answer:
We conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
Step-by-step explanation:
We are given that a researcher performs a hypothesis test to test the claim that for a particular manufacturer, the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
Let [tex]\mu[/tex] = mean weight of cereal in its 18-ounce boxes.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 18 {mean that the mean weight of cereal in its 18-ounce boxes is equal to 18 ounces}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 18 {mean that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces}
Also, it is given that the P-value is 0.01 and the level of significance is 0.05.
The decision rule based on the P-value is given by;
If the P-value of our test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.If the P-value of our test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis as our test statistics will not fall in the rejection region.Here, clearly our P-value is less than the level of significance as 0.01 < 0.05, so we have sufficient evidence to reject our null hypothesis as our test statistics will fall in the rejection region.
Therefore, we conclude that the mean weight of cereal in its 18-ounce boxes is less than 18 ounces.
[tex]-6\left(1-m\right)=9-2m[/tex]
Answers
Answer:
[tex]m=\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]-6\left(1-m\right)=9-2m[/tex]
[tex]-6(1-m)=-6+6m[/tex]
[tex]-6+6m=9-2m[/tex]
Add 6 to both sides:-
[tex]-6+6m+6=9-2m+6[/tex]
[tex]6m=-2m+15[/tex]
Now, add 2m to both sides:-
[tex]6m+2m=-2m+15+2m[/tex]
Divide both sides by 8:-
[tex]\frac{8m}{8}=\frac{15}{8}[/tex]
[tex]m=\frac{15}{8}[/tex]
-----------------------
OAmalOHopeO
-----------------------
Answer:
your answer is m=15/8
Using the right triangle below, find the tangent of angle B.
시
A
600
0
3-13
300
B
Answers
Answer:1&3
Step-by-step explanation:
plz help me f(x) = 2x – 2 , find f(– 1)
Answers
Answer:
-4
Step-by-step explanation:
f(-1) = 2(-1) - 2 = -4
Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x
Answers
Answer:
Well the correct answer is −4x+28... But I don't
see that as one of your options. :/
Simplify:
18−2(x+x−5)
Distribute:
=18+(−2)(x)+(−2)(x)+(−2)(−5)
=18+−2x+−2x+10
Combine Like Terms:
=18+−2x+−2x+10
=(−2x+−2x)+(18+10)
=−4x+28
Answer:
−4x+28
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]Option D is the correct option.
Step-by-step explanation:
18 - 2 [ x + ( x - 5 ) ]
Remove the unnecessary Parentheses
⇒18 - 2 [ x + x - 5 ]
Collect like terms
⇒18 - 2 [ 2x - 5 ]
Distribute 2 through the parentheses
⇒18 - 4x + 10
Add the numbers
⇒28 - 4x
Hope I helped!
Best regards!!
in angle PQR, angleQ=70 angle R=45 then angleP=.....
Answers
Answer:
65
Step-by-step explanation:
Because its a triangle,
P + Q + R = 180
So,
P + 70 + 45 = 180
P + 115 = 180
Subtract 115 on both sides
P = 65
how to change mixed fraction into improper fraction and improper to proper fraction easy way
Answers
Answer with Step-by-step explanation:
To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.
For example: 4 1/5 = (5*4)+1/5=21/5
To change improper into proper mixed fraction,
Divide the numerator by denominator and write the remainder on numerator
For example: 7/2= 3 1/2
I really need an answer as soon as possible. 10 pts worth it
Answers
Answer:
A. Correct: When we plug in g(x) for the x in f(x), we get H(x).
B. Correct: When we plug in g(x) for the x in f(x), we get H(x).
C. Correct: When we plug in g(x) for the x in f(x), we get H(x).
D. Correct: When we plug in g(x) for the x in f(x), we get H(x).
Step-by-step explanation:
Brainliest, please!
please help i'm having a very hard time understanding this!
Answers
Hi there!
check the pic
#YoghurtCup!
Answer: F
Step-by-step explanation:
Put all numbers with 1 exponent.
[tex](\sqrt{8^4} *\sqrt{6^4} )^{\frac{3}{2} }\\\\=(2^{\frac{3*4}{2} }*(2^{\frac{4}{2} }*3^{\frac{4}{2}} )\ )^{\dfrac{3}{2} }\\\\\\=(2^6*2^2*3^2)^{\dfrac{3}{2} }\\\\=2^{8*\frac{3}{2} }*3^{2*\frac{3}{2}} \\\\\\\boxed{=2^{12}*3^3}\\\\\\Answer\ F[/tex]
Solve for y
4x + 7y +5
Answers
4x = 7y + 5 (Given)
4x - 5 = 7y + 5 - 5
4x - 5 = 7y + 0
4x - 5 = 7y
7y = 4x - 5 since equality is symmetric, i.e., if a = b, then b = a.
(7y)/7 = (4x - 5)/7
(7/7)y = (4x)/7 - 5/7
(1)y = (4/7)x- 5/7
y = (4/7)x - 5/7
From the last step above, the given equation is now in the slope-intercept form of the equation of a straight line: y = mx + b, i.e., y = (4/7)x - 5/7; therefore, we can now see by observation, that the slope of the line is m = 4/7 which means that the line has a positive slope, i.e., it's > 0, which means that if the line were to be constructed on a Cartesian coordinate system, it would slope upward from left to right and would intersect the y-axis at the point (0, -5/7).
Multiply negative 1 over 3 multiplied by 1 over 4. Which of the following is correct? negative 1 over 3 negative 1 over 4 negative 1 over 7 negative 1 over 12
Answers
Answer:
-1/12
Step-by-step explanation:
-1/3 * 1/4
Multiply the numerators
-1 *1 = -1
Multiply the denominators
3 *4 =12
numerator over denominator
-1/12
Answer:
the answer is [tex]\frac{-1}{12} \\[/tex]
Step-by-step explanation:
[tex]\frac{1}{3} x \frac{1}{4}[/tex]
3x4= 12 is now the denominator
and
the numerator stays the same because -1x1=-1
so there for the answer is [tex]\frac{-1}{12}[/tex]
hope this helped you ^.^ happy holiday
Briefly explain how you would graph an equation such as y=7x-2
Answers
Answer:
put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant
Step-by-step explanation:
HELP ASAP!!!
What is the geometric mean of 7 and 56?
Answers
Geometric Mean = √(ab)
a = 7
b = 56
Geometric mean = √(7×56)
After prime factorization of 56 we get 2 × 2 × 2 × 7
√(7×7×2×2×2)
7×2√2
14√2
Therefore the answer is option d
Must click thanks and mark brainliest
Answer:
I'll add this so that u can give that person brainliest ^^
The perimeter of a triangle is 24 cm.If it’s area is 24cm2 and it’s one of the three sides is 10 cm,find the sides of remaining
Answers
Answer:
The other sides are 6cm and 8cm
Step-by-step explanation:
Let the other 2 sides be x and y.
Using herons formula, we have an equation
24=sqrt(12*2*(12-x)*(12-y))
Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.
congruent complements theorem
Answers
Answer:
Congruent Complements Theorem If 2 angles are complementary to the same angle, then they are congruent to each other.
HOPE THIS HELPS
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