Answer: D. 30.48 miles
Step-by-step explanation:
You basically use Pythagorean Theorem!
a2 + b2 = c2
Square root 20^2 +23^2
=√20^2 + 23^2
=20 x 2 + 23 x 2
= 929
And round it=
30.48 miles.
Dinasur is spelled Dinasur change my mind
Answer:
I cannot change what is the truth
Step-by-step explanation:
attempt to change the truth would resulted in dinaur catastrophe
Makayla leans a 18-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Please help me, I don’t understand the problem!
The ladder and the outside wall form a right triangle
The distance from the base of the ladder is 7.89 feet
How to determine the distance to the base of the ladder?The given parameters are:
Length (L) = 18 feet
Angle of elevation (θ) = 64 degrees
The distance (D) from the base of the ladder is calculated using the following cosine ratio
cos(θ) = D/L
So, we have:
cos(64) = D/18
Make L the subject
D = 18 * cos(64)
Evaluate the product
D = 7.89
Hence, the distance from the base of the ladder is 7.89 feet
Read more about right triangles at:
https://brainly.com/question/2437195
The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
(−5, 41)
(−5, 56)
(−5, 76)
(−5, 91)
Considering the definition of axis of symmetry and vertex of a quadratic function, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).
Quadratic function
The general form of a quadratic function is f(x = ax²+ bx+ c, whose graph is a parabola.
Axis of symmetry and vertex of a quadratic function
Quadratic functions have a maximum (if a<0) or a minimum (if a>0). This point is the vertex of the parabola.
That is, the vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function. The vertex is in the plane of symmetry of the parabola; anything that happens to the left of this point will be an exact reflection of what happens to the right.
In other words, the vertex divides the graph into two halves that are mirror images of each other, so that the axis of symmetry always passes through the vertex.
Vertex of f(x) = −x² − 10x + 16
In this case, you know that the axis of symmetry for the function is x = −5.
So the vertex on the x-axis has a value of -5. To calculate the value of the vertex on the y-axis, you must substitute the value of the vertex on the x-axis in the function:
f(-5) = −(-5)² − 10×(-5) + 16
Solving:
f(-5)= 41
In summary, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).
Learn more about the vertex of a quadratic function:
brainly.com/question/26146143
brainly.com/question/8952707
brainly.com/question/20158951
brainly.com/question/24314434
Answer:
a
Step-by-step explanation:
a
find the range of the data.
133,117,152,127,168,146,174
133, 117, 152, 127, 168, 146, 174.
to find:range.
solution:first arrange the numbers in order, which gives you:
= 117, 127, 133, 146, 152, 168, 174
then subtract the lowest number from the highest, which gives you:
174 - 117
= 57
range= 57.
Solve for x
3x – 2 = 2x – 4
Answer: x= -2
Step-by-step explanation:
3x – 2 = 2x – 43x-2x= -4+2x= -2Triangle DEF has side lengths d= 7.1 and f= 26.5. The measure of angle E is 13°. What is the length of side e? 31.9 19.6 4.7 162.3
Answer:
19.6
Step-by-step explanation:
According to the
Cosine Theorem
e² = d² + f² - 2dfcos /_E
°Cos 13° = 0.974
e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974
=752.66 - 366.516
= 386.14
e = 386.14 = 19.6
if p and q are two propositions,use truth table technique to show that a) (p=q) ^ (q=p)= p=q and b) [(p=q) ^ p]=q is a Tautology
Answer:
see attached
Step-by-step explanation:
The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.
__
a.The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...
(p=q)∧(q=p)
is equivalent to
(p=q)∧(p=q)
We know that the And of p with itself is just p, so that fact ensures the truth of ...
(p=q)∧(p=q) = (p=q)
Hence
(p=q)∧(q=p) = (p=q)
The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.
__
b.The attached truth table shows that the given relation is not a tautology.
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 34 liters per minute. There are 400
liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been
added. Write an equation relating W to T. Then use this equation to find the total amount of water after 16 minutes.
Equation:
D=0
X
Total amount of water after 16 minutes: liters
5
?
Multiply liters per minute by number of minutes and add that to the starting amount.
W = 34t + 400
now replace t with 16 and solve:
W = 34(16) = 400
W = 544 + 400
W = 944
After 16 minutes there are 944 liters in the pond
PLEASE HELP ASAP!! 30 POINTSSSS!!!!! EXPLANATION PLEASEEEEE, IM BEGGING PLEASE DONT JUST PUT AN ANSWER
Solve for 'x' in both of the following problems.
Answer:
x = 73° , x = 7
Step-by-step explanation:
(1)
the measure of an inscribed angle is half the measure of its intercepted arc.
∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°
the sum of the 3 angles in Δ ABC = 180°
then
x = 180° - (64 + 43)° = 180° - 107° = 73°
(2)
2 chords iintersecting in a circle, then
the products of the parts of one chord is equal to the product of the parts of the other chord, that is
KH × HI = JH × HG ( substitute values )
10x = 14 × 5 = 70 ( divide both sides by 10 )
x = 7
Find the unit vector in the direction of (6, 7).
Write your answer in component form.
Do not approximate any numbers in your answer.
Answer:
<(6/√85),(7/√85>
Step-by-step explanation:
Let vector o = 6i + 7j,
The magnitude, | o | = √(6²+7²) = √85
Unit vector, ô = (6i + 7j)/√85
= (6/√85)i + (7/√85)j
In component form, ô = <(6/√85),(7/√85>
•** Plss help me **•
Answer:
30
Step-by-step explanation:
You can use the triangle area theorem-
15x4(/2)=30
A cylinder can hold three golf balls one directly above the other. If the radius of a golf ball is 2cm, what volume of the can is occupied by air outside the golf balls?
When using the order of operations to simplify (7 + 3) * 4 - 1 + (6 + 8), which operation should be performed first?
Answer:
addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.
I hope you find this helpful :D
Answer:
(7+3)
After that you do (6+8)
Explanation:
Use PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
A movie is 9.75 seconds long.
Describe a situation related to this movie that could be a represented by the expression 9.75 / 2.5
Answer:
Step-by-step explanation: Maybe you could try:
A movie is 9.75 seconds long and each 2.5 seconds there is an ad so how many ads are there during the movie?
Can someone help please
Answer:
Infinitely many solutions
Step-by-step explanation:
To solve for x, start by expanding the left-hand side of the equation.
2(x +5)= 2x +10
2(x) +2(5)= 2x +10
2x +10= 2x +10
Subtracting 10 from both sides:
2x= 2x
Divide both sides by 2:
x= x
Thus, x has infinitely many solutions.
The distance between 2 cities is 7200 miles. How long will it take a plan that flies 600 miles/h to travel between the 2 cities?
Help with this question
Answer:
b = 5√3
Step-by-step explanation:
I would honestly just use pythag, but I'll use trig:
tanθ = opposite/adjacent
tan(30°) = 5/b
btan(30°) = 5
b = 5/tan(30°)
b = 5/(√3/3) = 15/√3
b = 15/√3 · (√3/√3) = 15√3/3
b = 5/√3
Check with pythag:
a² + b² = c²
5² + 5√3² = 10²
25 + 25(3) = 100
25 + 75 = 100 ✅
I hope this helps!
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
Determine the solution(s) of the equation x^2 = 36
In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)
x²=36
√x²=√36
x=6
Is this the only solution?
A negative times a negative is a positive...
-6 is another solution of this equation! :)
Hence, the answers are:-
[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Hello! My name's Cupcake, And I will be helping you today! :D
In order to solve this equation, we need to take the square root of both sides.
Why? Because we need to isolate x. Our goal is:- To find the value of x.
So in order to get rid of the square and find the value of x, we take the square root of both sides:-
x^2=36
x=6, x=-6 (solutions)
Hope it helps!
Any queries - comment !
MAPS A map of the eastern United States has a scale
where 3 inches = 25 miles. If the distance on the map
between Columbia, South Carolina, and Charlotte, North
Carolina, is 11.5 inches what is the actual distance
between the cities?
Answer:
[tex]95\frac{5}6{[/tex] miles
Step-by-step explanation:
First, find base. 1 inch = [tex]\frac{25}{3}[/tex] miles.
multiply the map distance by base.
[tex]11.5\cdot\frac{25}{3} = 95.8\overline{3}=95\frac{5}{6}[/tex] miles
1. Solve the following equations for x:
a. X - 9 = -21
b. 10 + x = 112
C. 14 = x - 30
d. 12 - x = 3
Answer:
A. X=-12B. X=102C. X=44D. X=15Step-by-step explanation:
Isolate the term of x from one side of the equation.
Part A. x-9=-21First, add by 9 from both sides.
x-9+9=-21+9
Solve.
-21+9=-12
X=-12
Part B. 10+x=112Switch sides.
x+10=112
Subtract by 10 from both sides.
x+10-10=112-10
Solve.
112-10=102
X=102
Part C. 14=x-30Switch sides.
x-30=14
Add by 30 from both sides.
x-30+30=14+30
Solve.
x=44
Part D. 12-x=3Switch sides.
x-12=3
Add by 12 from both sides.
x-12+12=3+12
Solve.
Add the numbers from left to right.
3+12=15
x=15
Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.I hope this helps you! Let me know if my answer is wrong or not.
2 points
15. Write the ratios for sin X and cos X. You can indicate v by writing "sq.
root" or using alt 251 on your keyboard. You will have two answers. sin X =
and cos X =
Circle O has a circumference of 36π cm.
Circle O with radius r is shown.
What is the length of the radius, r?
Answer:
r = 18 cm
Step-by-step explanation:
The formula for the circumference of a circle is 2πr.
Hence,
2πr = 36π
r = 18 cm
Help help help help math math
Answer:
7
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtractioin
Evaluate: 2² * 3 - 5
2² * 3 - 5 <== exponents first
4 * 3 - 5 <== multiplicaiton second
12 - 5 <== subtraction last
7 <== final answer
Hope this helps!
7
Solution:Let's evaluate this expression.Please notice the hint: "Remember the word PEMDAS".Here's what PEMDAS stands for.P -> ParenthesesE -> ExponentsM -> MultiplicationD -> DivisionA -> AdditionWe do not have parentheses here, but we do have exponents ([tex]2^2[/tex])[tex]2^2[/tex] equals 2×2, or 4.Right now the expression is equivalent to4×3-5According to PEMDAS, the next operation is M, or Multiplication:12-5And finally, subtract:7Hope it helps.
Do comment if you have any query.
help please!!!!!!!!!
Answer:
Alright, so, the ratio is 2:5
In total, there are 7
So, 56/7=8
8x2=16
8x5=40
So after moving 2 students,
14 on the van, 42 on the bus
(you can use the true/false now)
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
Going to the museum:
Total: 56 students
van:bus = 2:5
2x + 5x = 56
7x = 56
x = 8
2x = 16
5x = 40
16 students go by van
40 students go by bus
40 - 16 = 24
Going back to school:
14 students go by van
42 students go by bus
van:bus = 14/42 = 1:3
42 - 14 = 28
Questions:
1. False
2. True
3. True
4. False
Evaluate (sqrt(2+i))^8
Step-by-step explanation:
[tex]( \sqrt{2 + i} ) {}^{8} [/tex]
Notice that
[tex] \sqrt{a} = a {}^{ \frac{1}{2} } [/tex]
So
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x = [tex]\sqrt{165}[/tex]
Step-by-step explanation:
Pythagorean Theorm: a^2 + b^2 = c^2
a^2 + b^2 = c^2
14^2 + x^2 = 19^2
196 + x^2 = 361
x^2 = 165
x = [tex]\sqrt{165}[/tex]
Find x helpppppppppppp
[tex] |2x - 1| = | - x - 2| [/tex]
Thus ;
[tex]2x - 1 = - x - 2[/tex]
Add both sides x
[tex]2x + x - 1 = - x + x - 2[/tex]
[tex]3x - 1 = - 2[/tex]
Add both sides 1
[tex]3x - 1 + 1 = - 2 + 1[/tex]
[tex]3x = - 1[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]
[tex]x = - \frac{1}{3} \\ [/tex]
Or[tex]2x - 1 = - ( - x - 2)[/tex]
[tex]2x - 1 = x + 2[/tex]
Subtract both sides x
[tex]2x - x - 1 = x - x + 2[/tex]
[tex]x - 1 = 2[/tex]
Add both sides 1
[tex]x - 1 + 1 = 2 + 1[/tex]
[tex]x = 3[/tex]
There u go ...
What was the most number of minutes someone took to eat breakfast? (type number only) *
.
0 1 2 3 4 5 6 7 8 9 10 11 12
Minutes To Eat Breakfast
Which equation is true when x = 5? A 8x = 80 B x + 4 = 9 C 10 ÷ x = 5 D x − 6= 1
Answer:
B
Step-by-step explanation:
A. 8 * x = 80
8 * 5 = 40. 40 is not 80, so it doesn't work.
B. x + 4 = 9
5 + 4 = 9. This works.
C. 10 ÷ x = 5
10 ÷ 5 = 2. 5 is not 2, so it doesn't work.
D. x - 6 = 1
5 - 6 = -1. 1 is not -1, so it doesn't work.