The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.
The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.
Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.
Answer:
Step-by-step explanation:
Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.
-2x > 12
A. X>-6
B.x>14
C. X<14
D. X<-6
Answer:
D. x< -6
Step-by-step explanation:
Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
x < 12/-2
Divide 12 by −2 to get −6.
x < -6
Determine the value of y, if x is -1
equation: y= | x |-4
Answer:
y = -3
Step-by-step explanation:
y = | x | - 4
y = | -1 | - 4
y = 1 - 4
y = -3
Comment any questions!
For each of the following, draw a diagram or use words to explain your answer.
A. How many 2/3 are in 2?
B. How many 1/10 are in 3?
Answer:
A. 3. B. 20
Step-by-step explanation:
2 divided by 2/3 is 2/ 2/3 or 6/2 which is 3.
3 divided by 1/10 is 3/ 1/10 or 30.
Sarita deposits $1000 in an account paying 3.4% annual interest compounded continuously.
A. What is the balance in Sarita's account after 5 years?
Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.
What is the equation for continuous compounding?It is given by:
[tex]A(t) = Pe^{kt}[/tex]
In which:
P is the principal.k is the interest rate.t is the time, in years.In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:
[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]
The balance of her account after 5 years is of $1,185.3.
More can be learned about continuous compounding at https://brainly.com/question/15965736
5. CD has an endpoint at (2, -1) and a midpoint at (8,3). Which measure is closest to the length of CD?
A 20.4 units
B 8.9 units
C 14.4 units
D 11.7 units
Answer: C
Step-by-step explanation:
the equation for X is
[tex]\frac{2+x}{2} =\frac{8}{1}[/tex] use proportion to solve
2 + x = 16
x = 14
(14,y)
The equation for Y is
[tex]\frac{-1+y}{2} =\frac{3}{1}[/tex] use proportion to solve
-1 + y = 6
y = 7
(14,7)
now use the distance formula
(14,7) (2,-1)
which gets you 14.4 or C
Find the value of x. 1222° 0 111 O 55 O 42 O 138
Based on the outside angles theorem, the value of x is: 42°
What is the Outrside Angles Theorem?The outside angles theorem states that the measure of the angle that is formed outside a circle when two tangents or secants intersect is half the measure of the diffrence of the intercepted arcs.
Given the following:
One arc measure = 222°The second arc measure = 360 - 222 = 138°Therefore, based on the outside angles theorem, we would have the following:
x = 1/2(222 - 138)
x = 42°
Learn morea about outside angles theorem on:
https://brainly.com/question/11356657
Help picture below problem 16
Concept :-
⠀
We have studied the law which states that the sum of all angles in a triangle is 180°, this is known as angle sum property of a triangle. We can solve this question based on that property.
Solution :-
⠀
Let us assume the missing angle to be x,
Therefore,
→ 66° + 71° + x = 180° ( Angle sum property of a triangle )
→ 137° + x = 180°
→ x = 180° - 137°
→ x = 43°
Thus, the measure of the missing angle is 43°.
Hope that helps :)
PLEASE HELP I WILL GIVE BRAINLIEST
180-135=45
Step-by-step explanation:
the angles should total 360.
the opposite angle R is 135 and is equal to P
S is equal to Q so that can help
Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?
$142.20
You have a deficit of $142.20.
You have a deficit of $540.42.
Answer:
You have a deficit of $142.20
Step-by-step explanation:
Given
Gross pay = $1,878.96Net income = $1,196.34Fixed expenses = $1,338.54Solving
discretionary income = net income - fixed expenses= 1196.34 - 1338.54= -142.20Deficit of $142.20This question is worth 100 points if you get this right.
Answer:
7 nights
Step-by-step explanation:
If he does 1/3 every night then you must turn 2 1/3 into a mixed fraction.
7/3
Then divide.
7/3 by 1/3
your answer is 7/1 or just 7 nights
Just divide
No of nights
2-1/3 ÷1/37/3÷1/37/3×37nightsHe need 7 nights
-b+10b+2b+17=6 please help me
Answer:
-1
Step-by-step explanation:
-b+10b+2b+17=6
9b+2b+17=6
11b+17=6
11b=6-17
11b=-11
b=-1
Find the perimeter please help
Answer:
30
Step-by-step explanation:
When solving the perimeter you add up all the numbers on the outside of the shape
A cone has a radius of 7 cm and a height of 12 cm what is the volume in cubic meters of the cone
Answer: 615.44 m^3.
Step-by-step explanation: To find the volume of a cone, you need to multiply the radius, pi, and height. The equation is given below:
π x r^2 x h = V, where π is pi, r is the radius squared, h is the height, and V is the volume.
Now, we need to substitute the values with the information that is given. π ≈ 3.14:
3.14 x 7^2 x 12 ≈ 1846.32.
We are not finished yet! A cone's volume is a third of a cylinder's, so you need to split 1846.32 in 1/3:
1/3 x 1846.32 ≈ 615.44 m^3.
Hope this helps! :)
Pls, Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Determine whether each ordered pair is a solution to the inequality x+y<−1.
Answer:
Choice A. (10, -1)
Choice B. (-8, 9)
Choice D. (6, -3)
Step-by-step explanation:
If we plug the coordinates of point A into the inequality, then we get,
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
Taylor buys necklaces at wholesale for her store for $6, then she adds a mark up of
120% to the wholesale cost she paid for the necklaces. What is the sale price of
necklaces at Taylor's store?
Cost is 6 USD
Selling price is 6 + markup
Markup = 6 * 120 /100 put this expression and check again selling price
Selling price = 6 + (6 * 120) / 100
= 13,2 usd
The height h(t) (in feet) of the seat of a child’s swing above ground level is given by the equation
below where t is the time in seconds after the swing is set in motion.
ℎ() = −1.1 cos ((2/3) ) + 3.1
a. Find the maximum and minimum height of the swing.
b. When is the first time after t = 0 that the swing is at a height of 3 feet?
c. When is the second time after t = 0 that the swing is at a height of 3 ft?
Answer: See below
Step-by-step explanation:
The function of the seat’s height from the ground level is given as,
[tex]h(t)=-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1[/tex]
Here, t denotes the time.
(a) The height will be maximum or minimum when the derivative of the function of height is equal to zero.
[tex]\begin{aligned}h^{\prime}(t) &=0 \\\frac{d}{d t}\left(-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1\right) &=0 \\-1.1 \times \frac{2 \pi}{3}\left(-\sin \left(\frac{2 \pi}{3} t\right)\right) &=0 \\t &=0,1.5\end{aligned}[/tex]
The height of the seat at time t = 0 s can be determined as,
[tex]\begin{aligned}h(0) &=-1.1 \cos \left(\frac{2 \pi}{3}(0)\right)+3.1 \\&=2 \mathrm{ft}\end{aligned}[/tex]
Therefore, the maximum height of the swing is 4.2 ft and the minimum height of the swing is 2 ft.
(b) The height of the swing is given as,
[tex]\begin{aligned}h &=3 \mathrm{ft} \\-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1 &=3 \\t &=0.7 \mathrm{~s}\end{aligned}[/tex]
Therefore, the first time after t = 0 s that the swing’s height of 3 ft is 0.7 s.
(c) The height of the swing is given as,
[tex]\begin{aligned}h &=3 \mathrm{ft} \\-1.1 \cos \left(\frac{2 \pi}{3} t\right)+3.1 &=3 \\\frac{2 \pi}{3} t &=1.47976+2 \pi \\t &=3.7 \mathrm{~s}\end{aligned}[/tex]
Therefore, the second time after t = 0 s that the swing’s height of 3 ft is 3.7 s.
The hypotenuse of a triangle is 10 inches long. One of the legs is 6.5 inches long. what is the measurement of the missing leg? round to the nearest tenth, if necessary
Answer:
7.6
Step-by-step explanation:
a^2 + b^2 = c^2
6.5^2 + x^2 = 10^2
42.25 + x^2 = 100
isolate x by subtracting 42.25 on both sides
x^2 = 57.75
square root of 57.75 or 7.6
a) Solve for x.
b) Then determine the angle measurement.
Answer:
a)x=12
b)64 degress
Step-by-step explanation: 1.Due to the law of opposite adjacent angles (or whatever its called) you can set both equations equal to each other- 4x+16=7x-20 2. Use algebra and get 3x=36 3. Divide both sides by 3 to get x=12 (first answer) 4. Now plug 12 in for x in either equations. I chose the bottom to get 4(12)+16 which is equal to 64 (second answer).
11. Angles 1 and 2 are supplementary. Angle 2 is 1/3 the size of angle 1. What
are the degree measurements of each angle?
⚫️67.50 and 22.5°
⚫️22.5° and 90°
⚫️60 and 120°
⚫️135° and 45°
Answer:
90 for choice 1, 112.5 is for choice 2, 180 for choice 3, and 180 for choice 4.
Step-by-step explanation:
67.50 and 22.5 is a complementary angle because it adds up to 90 degrees.
22.5 and 90 added is 112.5 which is an obtuse angle
60 and 120 added is a supplementary angle because 60 + 120 is 180
135 and 45 is also a supplementary angle because 135+45 = 180
a triangle has one side that is 4cm long and one that is 9cm long the third side is a whole number of cm. what is the shortest possible third side?
Answer:
Step-by-step explanation:
Since it must be an integer, 5 would make it up to the full length of the longest line. What you get is not quite a triangle. The way to get a triangle is to add one more to the 5 to make 6
Answer: 6 cm
I NEEDDD HELPPPP 50PTS !!!!!!!!!!!!!!
Answer:
$1225
$33,775
Step-by-step explanation:
Given:
price of current model = $35,000next model = 3.5% LESS than price of current modelTo find a percentage of an amount, convert the percentage into a decimal and multiply it by the amount:
3.5% = 3.5/100 = 0.035
⇒ Decrease in price = 0.035 × 35000 = $1225
Price of next model = price of current model - decrease in price
= 35000 - 1225
= $33,775
Decrease amount:-
3.5% of 350000.035(35000)$1225So
New price:-
35000-1225$33775Which of the following is the solution to the equation 4 over 5 times n = 20
N = 4
N= 12
N = 16
N = 25
Answer:
(d) N = 25
Step-by-step explanation:
The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.
(4/5)N = 20
(5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient
N = 25 . . . . . simplify
Prove that:-
[tex] \sqrt{ \frac{1 + cos30 {}^{ \circ} }{1 - cos {30}^{ \circ} } } = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} [/tex]
Answer:
[tex] \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} }[/tex]
[tex]LHS = \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{1 + \frac{ \sqrt{3} }{2} }{1 - \frac{ \sqrt{3} }{2} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{2 - \sqrt{3} }{2} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } } }[/tex]
[tex] \displaystyle{ \sqrt{ \frac{(2 + \sqrt{3} {)}^{2} }{4 - 3} } }[/tex]
[tex] \displaystyle{2 + \sqrt{3} }[/tex]
[tex]RHS = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} [/tex]
[tex] = 2 + \sqrt{3} [/tex]
[tex] \rm\therefore{LHS=RHS,proved. }[/tex]
Using the Addition Method, find the value of y in
the system of equations 2x1= 3y – 5 and 5x + 6y =
28
Answer:
28?
Step-by-step explanation:
Help picture below problem 14
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8[/tex]
Thus the missing side length is 8 cm
Hope that helps!
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Please don't spam the questions.
Step-by-step explanation:
Please need help on this one
Answer:
○ [tex]\displaystyle -\frac{3}{4}\:houses\:per\:day[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-8 + 2}{-2 + 10} = m \hookrightarrow \frac{-6}{8} = m \\ \\ \boxed{-\frac{3}{4} = m}[/tex]
I am joyous to assist you at any time.
According to the labor statistics document, which educational level has the highest median
income?
The doctoral degree educational level has the highest median income
What are educational level?Education level refers to the years of formal instruction received and successfully completed.
From research in 2017 for those with the highest levels of educational level (doctoral and professional degrees) income is more than triple those with the lowest level (high school diploma)
Find out more on educational level at: https://brainly.com/question/2987151
Answer: Bachelor's Degree, and Male
Step-by-step explanation: