Jerrod found the hypotenuse of a right triangle with legs 3 ft and 1 ft. Is his answer correct?
c2 = 32 + 12
c2 = 9 + 1
c2 = 8
c = 8
No, he setup the Pythagorean theorem incorrectly.
No, he made an error finding the square root.
No, he subtracted 1 and 9 instead of adding.
Yes, he correctly calculated the length of the hypotenuse
Answer:
The answer is no he is not correct, here's why.
C) No, he subtracted 1 and 9 instead of adding.
Step-by-step explanation:
Jerrod has found the hypotenuse, with the legs of 3 ft and 1 ft, his process is:
[tex]c^{2}[/tex] = 32 + 12
[tex]c^{2}[/tex] = 9 + 1
[tex]c^{2}[/tex] = 8
c = 8
The legs Jerrod said are 3 ft and 1 ft
so A and B of the formula of pythagorean theorem could be:
[tex]a^{2}[/tex] = (3)[tex].^{2}[/tex]
[tex]b^{2}[/tex] = (1)[tex].^{2}[/tex]
This leads us to:
[tex]3^{2} + 1^{2} = c^{2}[/tex]
which is:
9 + 1 = [tex]c^{2}[/tex]
10 = [tex]c^{2}[/tex]
In this case, Jerrod had calculated wrong by instead of adding he had subtracted.
(I don't know where he got 32 + 12, but other than that his process is correct other than calculation error)
The correct statement for given situation is,
⇒ No, Jerrod made an error to finding the square root.
What is mean by Triangle?Any triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Jerrod found the hypotenuse of a right triangle with legs 3 ft and 1 ft.
With steps are,
⇒ c² = 3² + 1²
⇒ c² = 9 + 1
⇒ c² = 8
⇒ c = 8
Now,
We have the steps are,
⇒ c² = 3² + 1²
⇒ c² = 9 + 1
⇒ c² = 8
⇒ c = 8
Clearly, In fourth step we get;
If c² = 8
Then, c = √ 8
But here we have;
⇒ c² = 8
⇒ c = 8
Hence, He made an error finding the square root.
Therefore, The correct statement for given situation is,
⇒ No, Jerrod made an error to finding the square root.
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solve the system:
y = 4x - 19
y = - 3x + 23
Answer:
( 6 , 5 )
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
What is the quotient 8 x 10^24/2 x 10^ 8 in scientific notation? Please Help!?!?
Answer:
4x10^6
can you also please mark me as brainliest?
20 out of 45 students attended the concert; 12 out of 25 students attended the concert
i need to fine the area and perimeter?
6.
Mariana and her 2 best friends
have dinner at a restaurant. The
bill totals $32.85, including tax.
The friends leave an 18% tip and
split the cost equally. How much
does each person pay?
Answer:
$12.92
Step-by-step explanation:
The total being split 3 ways is ...
$32.85 × (1 + 0.18) = $38.76
So each pays ...
$38.76 / 3 = $12.92 . . . amount each person pays
GIVING BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
Based on the graph below, which sequence of transformations is needed to carry ABCD onto its image A'B'CD?
Answer:
The third is correct.
Step-by-step explanation:
Preimage: A(2,3), B(5,6), C(8,6), D(8,3)
Image: A'(-2, 6); B'(-5,3); C'(-8,3); D'(-8,6)
Option 3.
Translation Rotation 180° Clockwise
(x, y-9) (-x,-y)
A(2,3) (2,-6) A' (-2,-6)
B(5,6) (5,-3) B' (-5,3)
C(8,6) (8,-3) C' (-8,3)
D(8,3) (8,-6) D' (-8,6)
Transformation involves changing the position of a shape.
The sequence of transformation is: (d) A translation rule by [tex]\mathbf{(x,y) \to (x, y - 9)}[/tex] and then a 180 degrees clockwise rotation about the origin
The coordinates of the pre-image is:
[tex]\mathbf{A = (2,3)}[/tex]
[tex]\mathbf{B = (5,6)}[/tex]
[tex]\mathbf{C = (8,6)}[/tex]
[tex]\mathbf{D = (8,3)}[/tex]
Of the given sequence of transformations, option (d) is correct.
The proof is as follows.
First, translate ABCD by (x, y - 9)
So, we have:
[tex]\mathbf{(x,y) \to (x, y - 9)}[/tex]
[tex]\mathbf{(2,3) \to (2, -6)}[/tex]
[tex]\mathbf{(5,6) \to (5, -3)}[/tex]
[tex]\mathbf{(8,6) \to (8, -3)}[/tex]
[tex]\mathbf{(8,3) \to (8, -6)}[/tex]
Next, rotate by 180 degrees.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (-x,-y)}[/tex]
So, we have:
[tex]\mathbf{(2,-6) \to (-2,6)}[/tex]
[tex]\mathbf{(5,-3) \to (-5,3)}[/tex]
[tex]\mathbf{(8,-3) \to (-8,3)}[/tex]
[tex]\mathbf{(8,-6) \to (-8,6)}[/tex]
From the graph, the coordinates of the image are:
[tex]\mathbf{A" = (-2, 6)}[/tex]
[tex]\mathbf{ B" = (-5,3)}[/tex]
[tex]\mathbf{C" = (-8,3)}[/tex]
[tex]\mathbf{D" = (-8,6)}[/tex]
Hence, the sequence of transformation is:
(d) A translation rule by [tex]\mathbf{(x,y) \to (x, y - 9)}[/tex] and then a 180 degrees clockwise rotation about the origin
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Casey bought a 15.4 pound turkey and an 11.6 pound ham for Thanksgiving and paid $38.51.
Her friend Jane bought a 10.2 pound turkey and a 7.3 pound ham from the same store and paid
$24.84. Find the cost per pound of turkey and the cost per pound of ham.
Answer:
h = 1.74
t = 1.19
Step-by-step explanation:
15.4t + 11.6h = 38.51
10.2t + 7.3h = 24.84
15.4•t + 11.6•h = 38.51
10.2•t + 7.3•h = 24.84
11.6h+15.4t = 38.51
7.3h+10.2t = 24.84
h = 87
50
= 1.74
t = 119
100
= 1.19
A model of the Empire State building is 8 inches high. If the actual Empire State building is 1,200 feet tall, what is the scale factor between the model and the actual building?"
Answer:
Every inch is represents 150 feet
HELP ASAP!!!!!!!! Select the correct answer from each drop-down menu.
The graph of the function y= x^2(x^2 - 6x + 9) has zeros of (0 and -3, -3 and 3, 0 and 3, -3 and 3)
complex zeros.
so the function has (no, two, three, four)
distinct real zeros and (no, two, three, four) complex zeros.
Answer: The answer is
1. 0 and 3
2. Two
3. No
Step-by-step explanation:
I took the test and it's right
The graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm y= x^2(x^2 - 6x + 9)[/tex]
We can write it as a:
[tex]\rm y= x^2(x^2 - 2(3)(x)+ 3^2)[/tex]
[tex]\rm y = x^2(x-3)^2[/tex]
To find the zeros equate to the function with the zero.
y = 0
[tex]\rm x^2(x-3)^2=0[/tex]
First, take [tex]\rm x^2= 0[/tex] we get:
x = 0
Now
[tex]\rm (x-3)^2=0[/tex]
x - 3 = 0
x = 3
Thus, the graph of the function has zeros of 0 and 3, two distinct real zeros, and no complex zeros.
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A sample of paint contains 3 ounces of blue paint and 8 ounces of yellow paint. If you have a 24 ounce can of the blue paint, how much yellow paint should you mix with it in order to make the same color as the sample? (Your answer should have numbers and units)
Answer:
64 ounces
Step-by-step explanation:
Given.
Represent blue with b and yellow with y
b = 3
y = 8
Required
What's the value of y when b = 24
Represent the given and required parameters as ratio
3 : 8 and 24 : y
Turn the ratio to an equation
3 : 8 = 24 : y
Represent as fraction
⅜ = 24/y
Multiply both sides by y
⅜y = 24
Make y the subject
y = 24 * 8/3
y = 64
Hence:
64 ounces of yellow paints is required for 24 ounces of blue paints
Which of the following correctly classifies the number -5 to all of the number sets which it belongs?
Real, Rational, Integer, Whole
Answer:
Real, Rational, Integer,
Step-by-step explanation:
Real: Most numbers are real so they just naturally fall into this category
Rational: -5 can be written as a fraction so it falls here
Integer: An integer is a number that can be positive, negative, or 0. as long as it doesnt have decmal points, it's an integer
Its not a whole number because whole numbers cannot contain a fraction, decimal, or negative value
Hope this helps!
5(x-4)=7x
ik its easy just very confused
Answer:
- 10
Step-by-step explanation:
Step 1:
5 ( x - 4 ) = 7x Equation
Step 2:
5x - 20 = 7x Multiply
Step 3:
- 20 = 2x Subtract
Step 4:
x = - 20 ÷ 2 Divide
Answer:
x = - 10
Hope This Helps :)
A bird goes from a higher location to a lower location at a
rate of 2 meters per second,
Which equation models the change in the bird's position at 30 seconds?
A. (-30)(-2) = -60
B. 30(-2) = -60
C. 30.2 = 60
D. 30(-2) = 60
Answer:
30(-2) = -60
Step-by-step explanation:
The change in speed from a higher location to a lower location is 2 m/s, v = -2 m/s (from higher to lower)
We need to find the equation that models the change in the bird's position at 30 seconds.
Distance = speed × time
change in position = (-2) × 30
= -60
Hence, the correct option is (B).
Step-by-step explanation:
gino is buying wood screws at the corner hardware store. The table shows different numbers of bags of screws and their corresponding prices.
Bags of screws price ($)
2. 10
4. 20
7. 35
According to the table,the relationship between the number of bags and the brice is proportional or not proportional
what type of number is -1/2 rational irrational integer or whole
Answer:
it is a rational
Step-by-step explanation:
The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.
f(x) = 3x^2-3x + 1
Find f (-2)
Answer:
19
Step-by-step explanation:
f(x) = 3x^2-3x + 1
Let x = -2
f(-2) = 3( -2)^2-3*-2 + 1
= 3 * 4+6+1
= 12 +6+1
= 19
Write 4.5 as a mixed number and a improper fraction.
Write your answer in simplest form.
Answer: 4 1/2 and 9/2
Step-by-step explanation: 5/10 can be simplifed into 1/2 and for the improper fraction, you just turn the 4 into halves which is 8 halves
Answer:
4.5 as a mixed number is 4 1/2 and as a improper fraction it is 9/2
The regular price of a Space Invader game is $30, but it is on sale. The discount is $15. What percent discount is this?
Answer:
50%
Step-by-step explanation:
15=30x
x=0.5
x=50%
Answer:
50% Discount
Step-by-step explanation:
So look to get the discount do the math like this:
30 rupees discount is 15 rupees
∴1 rupees discount is 15/30 rupees
∴ 100 rupees discount is 0.2×100 rupees
⇒50 Rupees
∴The Discount is 50%(Ans:)
One week, seventy-two percent of the animals that cam to a veterinary hospital were dogs. If there were 230 animals total, how many were dogs
Answer:
165.6
Step-by-step explanation:
165.6 is 72% of 230
What is the ESTIMATED answer for 9,105 - 4,031 ?
Answer..........NOW!!
Answer:
A quick estimated answer would be 5,000-5,100
Step-by-step explanation:
Which equation is the slope-intercept form of the equation of the line that passes through (1, 2) and is parallel to 4x - 2y = 6?
Answer:
The equation of the parallel line is y = 2x
Step-by-step explanation:
The slope-intercept form of the linear equation is:
y = m x + b, where
m is the slope of the line b is the y-intercept (value y at x = 0)Parallel lines have the same slopes and different y-intercepts
∵ The equation of the given line is 4x - 2y = 6
→ To find the slope of this line re-arrange it to be in the
slope-intercept form Subtract 4x from both sides to move x to
the right side
∵ 4x - 4x - 2y = 6 - 4x
∴ -2y = 6 - 4x
→ Divide both sides by -2 to make the coefficient of y = 1
∵ [tex]\frac{-2y}{-2}=\frac{6}{-2}-\frac{4x}{-2}[/tex]
∴ y = -3 - (-2x)
∴ y = -3 + 2x
→ Swithch -3 and 2x
∴ y = 2x - 3
→ Compare it by the form of the equation above to find m
∴ m = 2
∴ The slope of the given line is 2
∵ The two lines are parallel
∴ The slope of the parallel line is 2
→ Substitute it in the form of the equation above
∴ y = 2x + b
→ To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The line passes through the point (1, 2)
∴ x = 1 and y = 2
∵ 2 = 2(1) + b
∴ 2 = 2 + b
→ Subtract 2 from both sides to find b
∴ 2 - 2 = 2 - 2 + b
∴ 0 = b
∴ y = 2x
The equation of the parallel line is y = 2x
Carlos drives 161 kilometers at a speed of 70 kilometers per hour. For how many hours does he drive?
Answer:
2.3 hours
Step-by-step explanation:
161 divided by 70 = 2.3
if Carlos drives 161 kilometers at a speed of 70 kilometers per hour then it takes 2.3 hours to drive.
What is Speed?Speed is the time rate at which an object is moving along a path,
Given,
Carlos drives 161 kilometers at a speed of 70 kilometers per hour
From the given data distance=161 kilometers
Distance is one hundred sixty one kilometers
Speed=70km/hr.
Speed is seventy kilometer per hour.
Speed=Distance/time
70=161/time
Now cross multiply
time=161/70
Time=2.3hrs
Hence, if Carlos drives 161 kilometers at a speed of 70 kilometers per hour then it takes 2.3 hours to drive.
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In a group of 28 students, 6 study both Art and Biology.
1 studies Biology but not Art.
1 studies neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
3/13
Step-by-step explanation:
There are 28 students. 1 studies biology but not art. 1 studies neither subject. Therefore, there are 26 students who study art.
Of the 26 students who study art, 6 also study biology. So the probability is 6/26, which reduces to 3/13.
12 men at a car dealer sale 876 cars in a year. The sum of square for the number
of cars sold is 64716. Find the mean and standard deviation of the number of sold
cars. HELPP
Answer:
26.965
Step-by-step explanation:
Someone help me with this
Answer:
74 is the answer bruhh
Step-by-step explanation:
180 - 106 = 74
Write the converse of this statement.
If two angles are both obtuse, the two angles are equal.
Answer:
If two angles are equal, then they are congruent.
Step-by-step explanation:
the complex solutions of which equation have a real component of 4.
(I'm not sure of what this is asking.)
Answer:
A.
Step-by-step explanation:
I just did this problem and guessed correctly.
The complex solutions of which equation have a real component of 4 is x² - 8x +16 +21 = 0.
What is Complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
On solving all equation the correct one is x² - 8x +16 = -21.
Using discriminant method calculating the roots
x² - 8x +16 +21 = 0
x² - 8x + 37 = 0
x= -b ± √b² -4ac / 2a
x= 8 ± √ -8² - 4*1 * (37) /2a
x= 8 ± √- 84 / 2
x= 8 ± √2² *(- 21) /2
x=( 8 ± √2² *√21 i)/2
x= 8 / 2 ± 2i√21/2
x= 4 ± √21 i
So, x = 4+ √21 i and x= 4 - √21 i
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The original price of a handbag was $84. Carole bought it on sale for $21 off
Answer:
She got 25% off. She paid $63.
Step-by-step explanation:
f(n)= 2n – 2; Find f(2)