Answers
Related Questions
The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the longer leg.
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Answer:
24 meters
Step-by-step explanation:
Use the pythagorean theorem
18² + x² = (x + 6)²
Expand
324 + x² = x² + 12x + 36
Subtract x² from both sides
324 = 12x + 36
Subtract 36 from both sides
288 = 12x
Divide both sides by 12
24 = x
24 meters
Which of the following statements considered as always true?
A. All intersecting lines are perpendicular.
B. All parallel lines cut by a transversal line.
C. All perpendicular lines are intersecting line.
D. All transversal line is for parallel lines only
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help asap plsss ----------------------
Answers
Answer:
g(x) = |x-7|+4
Step-by-step explanation:
If we imagine trying to find the vertex of f(x) or the lowest part, we can always input x and y into each equation and see if they equal on either side.
The vertex is at points (7,4)
4=|7-7|+4 : 4=4.
Suppose that the scores on a statewide standardized test are normally distributed with a mean of 64 and a standard deviation of 2. Estimate the percentage of scores that were (a) between 60 and 68.
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Answer:
95. 45%
Step-by-step explanation:
Given :
Mean score, = 64
Standard deviation = 2
Score between 60 and 68
P(Z < (x - mean) / standard deviation)
P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)
P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)
P( score between 60 and 68)
P(Z < 2) - P(Z < - 2)
0.97725 - 0.02275 = 0.9545
Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%
Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?
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Marta’s math textbook weighs Four-fifths of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 and one-fifth pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?
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4 x minus four-fifths = 2 and one-fifth; x = three-fourths of a pound
Multiple choice question
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= 7*5 = 35 squared cm
Answer:
A. 35 square centimeters
Step-by-step explanation:
The area of a triangle is (b*h)/2.
7 * 10 = 70
70/2 = 35
**Does anybody knows how to do it***
instructions: state what additional information is required in order to know that the triangle are congruent for the given reason.
Given: ASA
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With ASA, we need two angles and an included side. An included side is one that is between the two angles.
But, we need to make sure the sides match up. So, triangle KJI is congruent to triangle ZYX.
Therefore, we need to know that side JI is congruent to YX.
Hope this helps!
find the next four terms of the sequence 5, 4, 9, 13, 22
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Answer:
38
Step-by-step explanation:
The first term of the given sequence is 9.
The second term is 13
= 9 + 4 . = 9 + 2 × 2.
The next number is 22.
= 13 + 9 . = 13 + 3 × 3 .
In the same way the next number of the given sequence will be
22 + 4 × 4 .
= 22 + 16 = 38.
50 points and brainless
1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
(a) Make a list of all the different possible outcomes when two number cubes are rolled.
(b) What fraction of the possible outcomes is favorable?
(c) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
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Answer:
The answer for (a) is
1, 1 2, 2 3, 3 4, 4 5, 5 6, 6
1, 2 2, 3 3, 4 4, 5 5, 6
1, 3 2, 4 3, 5 4, 6
1, 4 2, 5 3, 6
1, 5 2, 6
1, 6
The answer for (b) is 6/21 or 0.285714286
The answer for (c) is Less than. {its in the explanation}
===================================================================
Explanation:
(a)- Its not really hard, it just takes a bit of time.
(b)- The total number of possibilities is 21. Favorable outcomes would have a 3 as one of the dice, and only 6 of the 21 outcomes has a 3. (they are in bold)
There are only 21 possible outcomes because the prompt says "Make a list of all the different possible outcomes." For example: I have 3, 4 as an outcome, but not 4, 3 because that would be the same outcome.
(c)- Less than, because the possibility of getting an outcome with at least one 3 is only 0.285714286. If you multiply that by 100, thats only 28.5714286, or 29, still less than 34.
What is essential to remember when simplifying a cube root compared to a square
root?
Answers
Answer:
The cube root of a number x is the length of the side of a cube whose volume is x cubic units.
The square root of a number x is the length of the side of a square whose area is x square units.
Hence the words ‘cube’ and ‘square’.
Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square
What is the quotient of 23 and 56?
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Answer:
0.410714
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
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Answer:
8.42
Step-by-step explanation:
* means multiply
31.65/5.45 = x/1.45
5.45x = 31.65 * 1.45
5.45x = 45.8925
x = 45.8925/5.45
x = 8.42064220183
Which of the following is a solution to 2sin^(2)x+sinx-1=0
45\deg
200\deg
240\deg
270\deg
330\deg
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Hello,
[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]
Answer A : 45°
Figure A is a scale image of Figure B. What is the value of x?
khan academy
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Answer:
maybe 12 because
Step-by-step explanation:
30/25=1.2
10×1.2=12
please help me to solve this
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Answer: x= 112°, y = 34°
Step-by-step explanation:
"Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle."
That means the angle adjacent to 56° = 90° - 56° = 34°"The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points."
The angle adjacent to the left of ∠X = 2(34°) = 68°x = 180° - 68° = 112°
The angle adjacent to the right of ∠X = the angle adjacent to the right of ∠X = 68°y = 68 ÷ 2 = 34°
Circle theorems source: https://revisionmaths.com/gcse-maths-revision/shape-and-space/circle-theorems#:~:text=Angles%20formed%20by%20drawing%20lines%20from%20the%20ends,the%20point%20on%20the%20circumference%20our%20triangle%20touches.
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
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Answer:
0.28 seconds
Step-by-step explanation:
To solve, I usually set up an equation.
miles = 213 = 1
sec 60 x
Then use cross multiplication.
213x=60
Divide both sides by 213
x=0.281690141
If you are supposed to round, round.
Hope this helps!
Answer:Hope this helps.
Step-by-step explanation:
What is the vertex of the quadratic function below?
y = x2 + 12x - 7
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Answer:
(6,101)
Step-by-step explanation:
x value of vertex is given by b/2a in quadratic.
b=12 and a=1
that gives you a 6, then plug in x=6 in the quadratic equation and that gives you
y=101
Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?
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Answer:
On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.
Step-by-step explanation:
Find d:
d=| 5 1 |
|-1 10 |
D= 51
[2 4 ]
[-3 9]
the determinant of the above matrix: 30
Answers
Answer:
D = 51, other = 30
Step-by-step explanation:
d = | 5 1 |
|-1 10|
D = (5 x 10) - ( 1 x -1) = 50 + 1 = 51
| 2 4|
|-3 9|
(2 x 9) - (4 x -3) = 18 + 12 = 30
find the positive sqaure roots up to 3 decimals
i) 1+(0.046)2
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Step-by-step explanation:
1+0.092= 1.0922) 1+0.042= 1.042
Answer:
1+0.092= 1.0922) 1+0.042= 1.042
Step-by-step explanation:
it is the explanation 1+0.092= 1.0922) 1+0.042= 1.042
A square and an equilateral triangle have the same perimeter. The length of the side of the square os x+10. The length of the side of the triangle os 4x. What is the length of the triangle side
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Answer:
20
Step-by-step explanation:
the perimeter of the square and the triangle are the same
4×(x + 10) = 3×4x
4x + 40 = 12x
40 = 8x
x = 5
=>
a triangle side is 4x = 4×5 = 20
help me with this problem please!!!!
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Step-by-step explanation:
sorry I wanted to help you but my calculator is take out decimals sorry I don't know what to do
How much fudge will each person get if 7 people share one half of a pound of fudge equally? Ow much fudge will each person get if 7 people share one half of a pound of fudge equally? Use the number line to help you. (2 points) A number line showing zero to one divided into two equal parts. Each part is divided into seven equal parts. Select one: a. One ninth pound of fudge b. One fourteenth pound of fudge c. One fifth pound of fudge
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Answer:
B
Step-by-step explanation:
one half lb divided by 7 people will equal one fourteenth
Lani had 2,380 Pesos in a savings bank. She withdrew 500 Pesos. Then deposited 680. Write an adittion sentence to represent the situation. Find the sum of the money
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Answer:
2560 Pesos
Step-by-step explanation:
How to find the amount of money in the savings account:
2380 - 500 = 1880
1880 + 680 = 2560
The addition equation: 1880 + 680 = 2560
The sum of the money: 2560 Pesos
Can someone help me with this math homework please!
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Answer:
{x| x = -7, -6, 2, 11, 3}
Step-by-step explanation:
domain of a relation is the set of values of that act as input
so answer:-
{x| x = -7, -6, 2, 11, 3}
domain is taken as x
what's the answer for 36x² - 84xy + 49y²
Answers
Answer:
(6x-7y)(6x-7y).
Step-by-step explanation:
.
Answer:
36x² - 84xy + 49y² =
6²x² - 2 (6x) (7y) + 7²y² =
(6x - 7y) ²
Answer.
(6x - 7y) ²
Ben uses a compass and a straightedige to bisect angle PQR, as shown below.
B
Wie statement beste wy Ben uses the cate with to draw Som there?
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Answer:
The answer is <AQS = BQS when AS=BQ and AQ=BQ
Step-by-step explanation:
Create an exponential function, and then create a second exponential function that shifts your original function down 7 units
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Answer:
A general exponential function is written as:
f(x) = A*e^(k*x)
Where A and k are real numbers.
Because we want to "create" a exponential function, we must assign numbers to A and k, let's assign:
A = 1
k = 1
then our function is just:
f(x) = e^(x)
Now we want to shift down 7 units.
So let's describe a general vertical shift.
For a general function f(x), a vertical shift is written as:
g(x) = f(x) + N
if N is positive, the shift is upwards
if N is negative, the shift is downwards.
Here we want to have a shift down of 7 units, then we would write:
g(x) = f(x) - 7
Replacing by the actual function f(x) we get:
g(x) = e^x - 7
Below you can see the graphs of both functions:
Where the orange one is f(x) and the purple one is g(x).
Area of this figure
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1) 2*14 = 28
2) 9*6 = 54
3) 3*5 = 15
Final area= 27+54+15 so It’s 97 ft^2
