For each problem, find the missing value using the Pythagorean Theorem
Answer:
Step-by-step explanation:
A^2 + b^2 = c^, 8^2 + x^2 =17^2 , 64 + x^2 = 289, 64- 64 + x^2 = 289-64, x^2 = 225, square root x and 225, Leg1 = 15
What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?
Answer:
(-10,8)
Step-by-step explanation:
So our original point is (-6,9).
A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.
A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.
Therefore, the new point would be:
[tex](-6-4,9-1)\\=(-10,8)[/tex]
Answer:
(-10,8)
Step-by-step explanation:
I hope this helps
(2 + 5i)(4 + 3i) Multiply the following complex numbers and write your answer in the simplest a+bi form.
Answer:
-7+26i
Step-by-step explanation:
Use FOIL
2•4+2(3i)+5i•4+5i(3i)
Simplify by combining like terms for your answer
8+6i+20i-15
-7+26i
Nghia bought a $650 personal
computer. She received a 10%
discount. What was the amount of
discount?
Answer:
65
Step-by-step explanation:
650x0.1=65
the answer is 65 dollars uwu
Answer:
$65
Step-by-step explanation:
10% of 650 is 65 because you multiply .1 and 650, or move the decimal one place to the left. because the question asks for the discount price, you would just find the discount.
A square window has a perimeter of 184 inches. How long is each side of the window?
Answer: 46 inches
Step-by-step explanation: 184/4= 46
What number should be placed in the box to help complete the division calculation?
Answer:12
Step-by-step explanation:
Increase 26 by 277%
Answer:
98.02
Step-by-step explanation:
Take 26 and multiply by 277%
26 * 277%
Change to decimal form
26 * 2.77
72.02
That is the amount of the increase
Now add it to the original amount
26+72.02
98.02
Answer:
98.02
Step-by-step explanation:
[tex]26 + 26 \times \frac{277}{100} \\ = 26 + 26 \times 2.77 \\ = 26 + 72.02 \\ = 98.02[/tex]
HELP HELP HELP PLEASE ASAP
Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
Dales house renovations went over budget by 18% and his original budget was 156,000 how much did he actually spend on his budgets?
Answer: $184,080
Step-by-step explanation:
First multiply 18% by the original budget to find how much the 18% of the budget was .
18% * 156,000 = 28080
Now add add 28080 to the original budget to find out how much she actually spent.
156,000 + 20,080 = 184,080
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------------
5(0.3) + 2y = 20
Answer: Y = 9.25.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~| 5(0.3) + 2y = 20
| Multiply 5 and 0.3 to get 1.5
\/
1.5 + 2y = 20
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We subtract 1.5 from both sides.
2y = 20 - 1.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract 1.5 from 20 to get 18.5.
2y = 18.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Divide both sides by 2.
[tex]y = \frac{18.5}{2}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Expand [tex]\frac{18.5}{2}[/tex] = 9.25 by multiplying both numerator and the denominator by 10.
[tex]y =\frac{185}{20}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Reduce the fraction [tex]\frac{185}{20} = 9.25[/tex] to lowest terms by extracting and canceling out 5.
[tex]y =\frac{37}{4}[/tex].
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{37}{4} = 9.25[/tex] in decimal form.
A bag contains 8 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be green?
Answer:
Probability that both marbles drawn will be green = 1 / 20
Step-by-step explanation:
(It is assumed that marbles are not returned in the bag)
[tex]p(1st \: marble \: drawn \: is \: green) = \frac{5}{20} [/tex]
[tex]p(2nd \: marble \: drawn \: is \: green) = \frac{4}{20} [/tex]
Multiplying theses we get :
[tex]p(both \: marbles \: drawn \: are \: green) = \frac{5}{20} \times \frac{4}{20} = \frac{1}{20} [/tex]
Tony rounded each of the numbers 154 and 145 to the nearest hundred. Which choice correctly compares the rounded numbers!
150 = 150
200 > 100
0154 > 145
200 = 200
Answer:
200 > 100
Step-by-step explanation:
154 rounded to the nearest hundred is 200 because 154 is closer to 200 than to 100. and 145 is closer to 100 than it is to 200 so we have 200 and 100 and we know that 200 is greater than 100 so we can conclude with 200 > 100
Anybody wanna help me out...... PLEASE
Please help ASAP 100 points please :((
Answer:
Step-by-step explanation:
7). Since the points J, K and L are on a same line, these points are collinear.
8). Point M is a point which is on the same plane with the points J, K and L but it is not collinear as the points J, K, and L are.
9). Points J, K, L and M are on the same plane (horizontal plane) but point N is not coplanar with these points.
10). Since a plane is named using 3 points lying on it. Therefore, JKL is the appropriate name of the given plane with these points.
Answer:
JKL is the appropriate name of the given plane with these points.
Step-by-step explanation:
How many square inches are in 60 square fee
Answer:
8640 square inches
Step-by-step explanation:
There are 12 inches in one foot so there would be 12 * 12 = 144 square inches in 1 square foot. Therefore, there are 144 * 60 = 8640 square inches in 60 square feet.
f(x) = √x+7 = ; g(x) = 8x - 11 find f(g(x))
Answer:
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Step-by-step explanation:
[tex]f(x) = \sqrt{x + 7} \\ \\ g(x) = 8x - 11[/tex]To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it by g (x)
We have
[tex]f(g(x)) = \sqrt{8x - 11 + 7} [/tex]We have the final answer as
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Hope this helps you
Which of the binomials below is a factor of this trinomial?
X^2- 10x + 24
O A. X+4
O B. x-3
O c. x+3
O D. x.-4
Hi there! :)
Answer:
[tex]\huge\boxed{D, x -4}[/tex]
---- Starting with: ----
x² - 10x + 24
Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.
By guessing and checking, we get the numbers -6 and -4. Put these into factors:
(x - 6)(x - 4)
Therefore, a binomial present in factored form is D. x - 4
A runner gets a 30.0 meter head start then runs 5.0km/hr. Write an equation which will represent the runners distance from the start line at any second
Answer:
d = 1.4 t + 30
Step-by-step explanation:
Head start means any advantage achieved or advantage gained in any race or competition.
In the context, the runner is gained a head start of 30 meter from the starting point.
It is also given that the speed with which the runner is running is 5.0 km per hour.
Therefore, the equation that gives the distance covered by the runner from his start line at any time in seconds is given by d = 1.4 t + 30.
please help me on this geometry i’ll mark u the brainliest
Answer:
XN = 6Step-by-step explanation:
If XY is bisector of angle AXN then: [tex]\dfrac{YN}{AY}=\dfrac{XN}{AX}[/tex]
[tex]\dfrac4{12}=\dfrac{XN}{18}\\\\XN=\dfrac4{12}\cdot18\\\\XN=6[/tex]
Write an expression to find area of the shaded region in the given figure...
Answer:
[tex]\huge \boxed{{10x^2 + 12x \mathrm{\ units^2 }} }[/tex]
Step-by-step explanation:
area of shaded region = area of whole rectangle - area of unshaded region
Area of a rectangle is length × width.
A = 5x(3x+2) - (x(5x-2))
Expand brackets.
A = 15x² + 10x -(5x² - 2x)
Distribute negative sign.
A = 15x² + 10x - 5x² + 2x
Combine like terms.
A = 10x² + 12x
Convert the following to scientific notation: 5050
Answer:
5.05*10³
Step-by-step explanation:
Put the decimal after the first digit and drop the zeroes. To find the exponent count the number of places from the decimal to the end of the number.5050 = 5.05 *1000 = 5.05*10³
A rettangle is 10 inches smaller than it is wide. The perimeter of the
rectangle is 80 inches. Find the length and width of the rectangle.
a. Width = 25 Length = 15
b. Width = 30 Length = 20
c. Width = 25 Length = 35
d. Width = 20 Length = 30
e.Width = 15 Length = 25
f. Width = 35 Length = 25
Answer:
A. Width = 25 Length = 15
Step-by-step explanation:
Length = L = Width - 10
Width = W
Perimeter of a rectangle
=> 2 (L + B) = 80
=> 2 (W - 10 + W) = 80
=> 2 (2W - 10) = 80
=> 4W -20 = 80
=> 4W -20 + 20 = 80 + 20
=> 4W = 100
=> 4W/4 = 100/4
=> W = 25
Width = 25
Length = 25 - 10 = 15
So, the answer is A.
If f(y) = 5y - 3, determine the value of y' when: f(y) = 6.
Answer:
y = 9/5
4th Option
Step-by-step explanation:
Step 1: Write out function f(y)
f(y) = 5y - 3
Step 2: Define variable from problem
f(y) = 6
Step 3: Replace variable
6 = 5y - 3
Step 4: Add 3 to both sides
9 = 5y
Step 5: Isolate y by dividing both sides by 5
y = 9/5
During a fourth of July celebration, a cannon is fired upwards from Fort Ontario. The height, h, in feet, of the cannonball above sea level at any given time, t, in seconds, can be determined by the formula h = -16t2 + 120t + 200. Find the height, in feet, of the cannonball above sea level 5 seconds after the cannon is fired.
Answer:
400 feet
Step-by-step explanation:
We just need to find h when t = 5. To do so, we can plug t = 5 into the function, which would be:
h = -16t² + 120t + 200
= -16 * 5² + 120 * 5 + 200
= -400 + 600 + 200 = 400 feet
Answer:
h = 400 feet
Step-by-step explanation:
given t = 5 seconds
h = -16t² + 120t + 200
just substitute t = 5
h = -16(5)² + 120(5) + 200
h = 400 feet
Daredevil Danny was cliff jumping. He jumped off a cliff that was 1 4 . 2 14.214, point, 2 meters above the surface of the water. At the end of his jump, Danny was 2 . 3 2.32, point, 3 meters below the surface of the water.
Question:
Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
The following equation describes this situation 14.2 + (-16,5) = -2.3 .
What does -16.5 tell us?
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given
[tex]Initial\ Position = 14.2m[/tex]
[tex]Final\ Position = -2.3m[/tex]
[tex]14.2 + (-16.5) = -2.3[/tex]
Required
What does -16.5 represents?
To understand this, we need to first calculate the displacement between his initial and final position
[tex]Displacement = Final\ Position - Initial\ Position[/tex]
[tex]Displacement = -2.3m - 14.2m[/tex]
[tex]Displacement = - 16.5m[/tex]
So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)
For the given equation, identify the initial quantity.
10x=132
0
132
x
10
Answer:
13.2
Step-by-step explanation:
Given
[tex]10x = 132[/tex]
Required
Determine the initial quantity
The interpretation of this question is to solve for the value of x
To start with:
[tex]10x = 132[/tex]
Divide both sides by 10
[tex]\frac{10x}{10} = \frac{132}{10}[/tex]
[tex]x = \frac{132}{10}[/tex]
[tex]x = 13.2[/tex]
Hence, the initial quantity is 13.2
Answer:
1.D
2.B
3.A
4.C
5.D
Step-by-step explanation:
I can't get to get this right can you please help me
Answer:
[tex](-7,4]\text{ or }\{x|-7<x\leq 4\}[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
[tex](-7,4][/tex]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
[tex]\{x|-7<x\leq 4\}[/tex]
Answer:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
(-7,4](−7,4]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
\{x|-7
Find the area of the triangle below
Answer:
[tex]A=73.5\text{ cm}^2[/tex]
Step-by-step explanation:
The formula for an area of a triangle is:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the base length and h is the vertical height.
From the triangle, we can see that the base is 21 cm while the vertical height is 7. Thus:
[tex]A=\frac{1}{2}(7)(21)[/tex]
Multiply:
[tex]A=\frac{1}{2}(147)[/tex]
Multiply:
[tex]A=73.5\text{ cm}^2[/tex]
And that's our answer :)
The Area of triangle is 73.5 square cm.
We have from the figure,
Base of triangle = 21 cm
Height of triangle = 7 cm
side of triangle = 15 cm
We know the formula for Area of Triangle
Area of Triangle = 1/2 x base x height
Now, plugging the value of base and height in the formula we get
Area of triangle = 1/2 x base x height
= 1/2 x 21 x 7
= 147/2
= 73.5 square cm
Learn more about Area here:
https://brainly.com/question/1631786
#SPJ6
*LAST QUESTION, PLEASE HURRY AND ANSWER* What is the volume of the cone below? (Use 3.14 for pi)
Answer:
The third: 5.32 cubic unitsStep-by-step explanation:
R = 1.52
H = 2.2
π = 3.14
[tex]V=\frac13\pi R^2\cdot H\\\\V=\frac13\cdot3.14\cdot(1.52)^2\cdot2.2=5.3200810\overline6\approx5.32[/tex]
can someone pls explain to me how to Order the following numbers in an ascending order?
[tex]3.61 \times 10^{ - 8} [/tex]
[tex]1.22 \times 10^{- 8} [/tex]
[tex]7.49 \times 10 ^{ - 6} [/tex]
[tex]5.5 \times 10 ^{ - 6} [/tex]
[tex]2.87 \times 10 ^{ - 5} [/tex]
Answer:
swap 1,2; swap 3,4
Step-by-step explanation:
Put the numbers in scientific notation, with one digit left of the decimal point.
The number with the largest exponent is largest.
If exponents are equal, the number with the largest mantissa is the largest.
__
Here, the exponents are already in order, so you need only order the mantissas for each exponent. Ascending order is ...
[tex]1.22\times10^{-8}\\3.61\times10^{-8}\\5.5\times10^{-6}\\7.49\times10^{-6}\\2.87\times10^{-5}[/tex]