It's important to know that the three given sides must be congruent with the Pythagorean's Theorem in order to form a right triangle.
The theorem is
\(c^2=a^2+b^2\)Where c is the longer side. Let's replace each side.
\((7.5)^2=6^2+(4.5)^2\)Let's solve each side of the equation.
\(\begin{gathered} 56.25=36+20.25 \\ 56.25=56.25 \end{gathered}\)Since the three given sides satisfy the Pythagorean's Theorem, we can deduct that they form a right triangle.
Highschool college-prep math. I need some help on this and if you do would will be greatly appreciated.
Answer:
Step-by-step explanation:
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
write the number in scientific notation
373,000,000
Answer: 37300000 in scientific notation = 3.73 × 107
Step-by-step explanation:
GIVING 25 POINTS AND BRAINIER IF ANSWERED!
What is one thing you would not do when finding the question in a word problem?
A. Look for a problem similar to the word problem you are trying to solve.
B. The question may not be directly stated.
C. So you can understand what the facts are in the word problem.
D. To define your strategy or game plan to solve the word problem.
Answer:
B. The question may not be directly stated.
Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?
Answer:
$440
Step-by-step explanation:
40 x 11 = your answer 440
Write these fractions as percentage 2/3
Answer: 66%
Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.
hope this helps!
please give brainliest!
Simplify. 23+4⋅8
A. 40
B. 80
C. 96
D. 160
Answer:
A i guess
Step-by-step explanation:
23 + 4 ⋅ 8
I got the answer 55 so see what is close to 55
Answer:
2 ^ 3 + 4 * 8 = 40
Step-by-step explanation:
So going by the order of operations, PEMDAS,
There are not parenthesis so we can skip that part.
exponents on the other hand we have 2^3. Don't be fooled. It's not 2 * 3. What you have to do is multiply 2 by itself 3 times. So 2 * 2 * 2 = 8. Step one Done!
The M in PEMDAS is multiplication! So we solve that part next! 4 * 8 = 32. Step 2 Done!
Now for the final step, for A in PEMDAS you have to add both sums together. 8 + 32 = 40
Final answer: 40
I hope this helps! <3
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.
The 46th term of the sequence is 324.
We have,
To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.
Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference
of 7.
To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:
a(n) = a(1) + (n - 1) d
where a(1) is the first term, d is the common difference, and n is the term number we want to find.
Using the given information, we have:
a(1) = 9
d = 7
n = 46
Plugging these values into the formula, we get:
a (46) = 9 + (46 - 1)7
a (46) = 9 + 45 (7)
a(46) = 9 + 315
a(46) = 324
Therefore,
The 46th term of the sequence is 324.
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For a taxi driver, which measures must be accurate? Check all that apply.
A. Price per mile
B. Distance traveled by customer
C. Price if gasoline per gallon
D. Number of customers per day
Answer:
Them all as he has to know how far he travels the customer rate to see is there is an increase of decrease price of gasoline to see if it's affecting g his outcome and price per miles for obvious reasons haha
Answer:
the answer B. Distance traveled by customer
I screenshot the question.
Answer:
17 34
24 58
31 89
38 127
45 172
52 224
59 283
62 345
69 414
76 490
83 573
Step-by-step explanation:
Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)
Then at the final answer you add the results to total pushups you get 573.
There is a faster way to do this using a formula, but probably will go over your head.
STAINED GLASS Pablo made the stained glass
window shown. He used an inscribed square and
equilateral triangle for the design.
a. Label the angle measures on the outer edge of the
triangle.
b. Label all of the arcs with their degree measure.
a) The angles outside the side PQ measure 65° and 25°
The angles outside the side QR measure 85° and 95°
The angles outside the side PR measure 55° and 35°
b) The arc PR, PQ and PR measure 120°
a)
Let us assume that the inscribed square be ABCD and equilateral triangle is PQR.
Let side PR of triangle intersects the quadrilateral at points M and N.
So, we get a triangle DMN outside the equilateral triangle.
Here, ∠DMN = 55°, ∠D = 90°
So, ∠MND = 180 - (90 + 55)
= 35°
Similarly, side PQ of triangle PQR intersects the quadrilateral at points X and Y.
So, we get a triangle AXY outside the equilateral triangle.
From triangle PXM we get the measure of angle PXM which is 65 degrees.
As angle PXM and angle AXY are opposite angles, the measure of angle AXY = 65°
∠A = 90°
So, ∠AYX = 180° - (∠A + ∠AXY )
= 180° - (90° + 65°)
= 25°
Let the side QR of triangle PQR intersects the quadrilateral at points L and K.
so we get new quadrilateral LKBC
In this quadrilateral ∠B = 90°, ∠C = 90°
From triangle QYL, we get the measure of angle QLY = 95°
So, the measure of ∠KLB = 95° .......(∠QLY and ∠KLB opposite angles)
So, the remaining angle LKC of quadrilateral LKBC would be,
∠LKC = 360° - (∠B + ∠C + ∠KLB)
∠LKC = 360° - (90 °+ 90° + 95°)
∠LKC = 85°
b)
We know that he angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
so, the measure of arc PR = 120°
the measure of arc PQ = 120°
the measure of arc RQ = 120°
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You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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the opposite number of 1/2
Answer:
0.5?
Step-by-step explanation:
Which statement best describes the leaf structures of monocots and dicots?
Dicots have narrow leaves with parallel veins, and monocots have broad leaves with a network of veins.
Monocots have narrow leaves with parallel veins, and dicots have broad leaves with a network of veins.
Dicots have narrow leaves with a network of veins, and monocots have broad leaves with parallel veins.
Monocots have narrow leaves with a network of veins, and dicots have broad leaves with parallel veins.
Answer:
can you space it plz
Step-by-step explanation:
Answer:
The correct answer is choice B.
Step-by-step explanation:
Monocots differ from the dicots In the structural features of the leaves, the stems, roots, and flowers. The differences start from the very beginning of the plant's life cycle: the seed. Monocots have one cotyledon, while dicots have two. When it comes to leaves, monocots have narrow leaves with the typical parallel leaf veins. Dicots have broad leaves with a network of netted leaf veins.
4 = 1 - n + 4? Geometry btw
Answer:
N = -7
Step-by-step explanation:
4 = 1 - n -4
Subtract the numbers first
1 - 4 = -3
Then rearrange the terms
4 = -3 - n
-----> 4 = n - -3
The you add 3 to both sides of the equations
4 + 3 = -n - 3 + 3
what does y intercept mean ?
Answer: The vertical line on a graph representing the vertical coordinate points.
Answer:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.
Step-by-step explanation:
Evaluate the expression |-7|
Answer: the awnser is 7
Step-by-step explanation: when numbers are in | ? | and they are negative they just turn positive
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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List all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers,
e. irrational numbers, f. real numbers.
{-7.2/-3.0.0.1. √5.3.5. √64}
Natural numbers: 0.1 Whole numbers: 0, Integers: -7, -3, 0, 1, Rational numbers: -7.2, -3.0, 0.1, 3.5,Irrational numbers: √5, √64, Real numbers: -7.2, -3.0, 0.1, √5, 3.5, √64.
What is the Natural numbers ?Natural numbers are the positive integers, 1, 2, 3, 4, 5, and so on. They are also known as the counting numbers or the positive integers. They are the numbers used for counting and measuring. Natural numbers are the building blocks of mathematics, and are used in the formation of other number systems, such as integers, rational numbers, real numbers, and complex numbers.
Natural numbers are also used in the formation of equations and formulas, as well as in the counting of objects, in the measurement of distances, and in many other areas of mathematics. Natural numbers are an important part of everyday life, and are used in everything from telling time to counting money.
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if 1/3=9 then whats 3/3
Answer:
27 is the right Answer. \(if \: \: \frac{1}{3} = 9 \\ if \: \: we \: \: multiply \: \: both \: sides \: \: by \: \: \: 3 \\ we \: \: get \: \: \\ ⇒\frac{1}{3} \times 3 = 9 \times 3 \\ \\ ⇒ \frac{3}{3} = 27 \: \: \: \: \: \: \: \: \: \: \: \: \: \)Homework part2 need help asap
The key features of the given quadratic functions are listed below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.
For the quadratic function y = 3x² - 5, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, -5).
Domain: [-∞, ∞]
Range: [-5, ∞]
For the quadratic function y = -2x² + 12x - 15, the key features are as follows;
Axis of symmetry: x = 3.
Vertex: (3, 3).
Domain: [-∞, ∞]
Range: [-∞, 3]
For the quadratic function y = -x² + 1, the key features are as follows;
Axis of symmetry: x = 0.
Vertex: (0, 1).
Domain: [-∞, ∞]
Range: [-∞, 1]
For the quadratic function y = 2x² - 16x + 30, the key features are as follows;
Axis of symmetry: x = 4.
Vertex: (4, -2).
Domain: [-∞, ∞]
Range: [-2, ∞]
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A high school robotics club sold cupcakes at a fundraising event.
They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.
Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?
x + 3y = 350
2x + 4= 625
Type your response in the box below.
$$
The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:
-5y = -375
1. Given equations:
- x + 3y = 350 (Equation 1)
- 2x + 4y = 625 (Equation 2)
2. Multiply Equation 1 by 2:
- 2(x + 3y) = 2(350)
- 2x + 6y = 700 (Equation 3)
3. Subtract Equation 2 from Equation 3:
- (2x + 6y) - (2x + 4y) = 700 - 625
- 2x - 2x + 6y - 4y = 75
- 2y = 75
4. Simplify Equation 4:
-2y = 75
5. To isolate the variable y, divide both sides of Equation 5 by -2:
y = 75 / -2
y = -37.5
6. Therefore, the resulting equation is:
-5y = -375
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the number line of -5
Answer:
Hughes y hcgd
Step-by-step explanation:
-5 -4 -3 -2 -1 0 1 2 3 4 5
Thats the number line I couldn't put the arrow tho but I hope u understand
Favorite Lunch Choice
Food Responses
pizza 26
hamburger 18
chicken 13
nachos 7
spaghetti 6
If there are 350 students in Jamal's school, how many are expected to choose hamburgers?
O A. 180 students
OB. 130 students
OC. 90 students
O D. 18 students
what statements are true about this function
The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
What is inverse of a function?An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
now the given functions are,
f(x) = √(2x + 2) and
g(x) = (x^2 -2)/2
Now,
f{g(x)} = f{(x^2 -2)/2}
= √(2(x^2 -2)/2 + 2)
= √ x^2 -2 + 2
f{g(x)} = √ x^2
f{g(x)} = x
Now,
g{f(x)} = g{ √(2x + 2)}
= (√(2x + 2)^2 -2)/2
= (2x + 2) -2 /2
= 2x/2
f{g(x)} = x
Here we see that ,
f{g(x)} = g{f(x)}
Hence f and g are not inverses.
∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
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If 48 eggs are used in the cafeteria today but the number expected to be
used tomorrow is 50% less than that, how many eggs are expected to be
used tomorrow?*
Answer:34
Step-by-step explanation:
Eggs expected to be use tomorrow is 48 - 30% of 48
30% of 48 = 30/100 × 48
= 0.3 × 48 =14.4
48 - 14.4 = 33.6
= 34 to the nearest whole number
Answer:
24 eggs
Step-by-step explanation:
So since it is 50% less. That must mean it is half of that sense 50% is half. So 48x0.5=24
Hope this helps!
One option in a roulette game is to bet 11on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the 11 you paid to play the game and you are awarded 11. If the ball lands elsewhere, you are awarded nothing and the 11 that you bet is collected. Complete parts (a) through (b) below.
The expected value for playing roulette if a person bet $16 on red is -$0.84.
b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.
What is the expected value?To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:
Expected value = (18/38) x $16 - (20/38) x $16
= -$0.84
Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.
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See full question below
one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.
a. what is the expected value for playing roulette if you bet $16 on red?
$__________ (round to the nearest cent)
b. chosen the statment below that best describes what this value means???
Pick One!
a. over the long run, the player can expect to win about $1.05 for each game played
b. over the long run, the player can expect to lost about $1.05 for each game player
c. over the lung run, the player can expect to break even
2x80 pl help me ASAP if you can
Answer:
160
Step-by-step explanation:
Please hurry
On each bounce, a ball dropped from 100 feet rises to the height
from which it has fallen. How high does the ball rise, in feet, on the 10th bounce?
Answer:
D
Step-by-step explanation:
divide 10 times starting with 100.
The answer is 25/256 or 0.09765625
The height of the ball dropped from 100 feet on the 10th bounce is 0.09766 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the height of the ball after x bounce. Given that the ball rises to the height from which it has fallen, hence:
y = 100(1/2)ˣ
After the 10th bounce:
y = 100(1/2)¹⁰ = 0.09766
The height of the ball dropped from 100 feet on the 10th bounce is 0.09766 feet.
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The terminal side of angle θ intersects the unit circle in the first quadrant at x=8/21. What is the value of secθ?
The value of the secθ for the unit circle in the first quadrant is 21/8.
What are terminal angles?The terminal sides coincide at the same angle whether the angles are rotated clockwise or anticlockwise. A ray's rotation around its starting point is quantified by an angle. The starting side of that angle refers to the original beam, and the terminal side denotes the ray's final position following its rotation.
Given The terminal side of the angle, θ intersects the unit circle in the first quadrant at x=8/21
which means cosθ = 8/21
and we know secθ is the inverse of cosθ
so secθ = 1/cosθ
and the unit circle in the first quadrant so the value of secθ will be positive.
secθ = 1/(8/21)
secθ = 21/8
Hence the value of secθ is 21/8.
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