Answer:
7 units
Step-by-step explanation:
(Background info, skip if not interested or needed for you)
The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
a and b being sides of a right triangle, c being the hypotenuse.
When we are solving for distance we are solving for c essentially.
[tex]c[/tex] = [tex]\sqrt{a^2 + b^2}[/tex]
Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.
(solutions)
So essentially distance is:
[tex]d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }[/tex]
Now we just use the values given to us, and sub in the x and y values respectively.
(-2,4) [tex]x_1 = -2, y_1 = 4[/tex]
(5,4)[tex]x_2 = 5, y_2 = 4[/tex]
plug these values in:
[tex]d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 } = \sqrt{7^2 } = 7[/tex]
Therefore the distance is 7 units.
A side of the triangle below has been extended to form an exterior angle of 124°. Find the value of x.
Answer:
56 degrees
Step-by-step explanation:
The angles x and 124 are supplementary angles, which means they add up to 180 degrees.
Thus,
We are left with this equation.
[tex]124 + x = 180[/tex]
Subtracting 124 from both sides, we are left with
[tex]x = 56[/tex]
Hope this helps.
Have a great day.
How many feet are in 1 yard?
how many feet are in one yard?
=3 feet
Answer:
3 Feet
Step-by-step explanation:
What does it mean to solve an equation?
Complete the statements.
The variable in the equation is represented by
To solve the equation you must find the
that makes the equation true.
is a solution of the equation because 5 = 5 is a true statement.
Answer: y, value of y, 9
Step-by-step explanation:
Answer:
1. Y
2. Value of Y
3. 9
Step-by-step explanation:
There are 24 crayons in a box. How many boxes will be needed for 15 children if each child gets 12 crayons
Answer:
7.5
Step-by-step explanation:
15×12=180
180÷24(crayons per box)=7.5 boxes
32. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for the balance of the account, then determine the amount of money in the account in 15 years. Answer: Equation:
Answer:
$25,626.53
Step-by-step explanation:
You are going to want to use the compound interest formula, which is shown below.
P = initial balance
r = interest rate (decimal)
n = number of times compounded annually
t = time
First, change 8.5% into a decimal:
8.5% -> -> 0.085
Now lets plug in the values into the equation
Lastly, subtract the total from the initial balance:
Michelle earned $25,626.53 in interest.
The swimming pool shown below has a 6 foot wide concrete deck around it.
What is the area, in square feet, of the deck around the pool?
O512
O720
O864
O1232
Answer:
0864
Step-by-step explanation:
The answer is 0864.
Hope it helps!
Study well!
What is the solution to the equation t minus 15 = 76?
t minus 15 = 76. t minus 15 minus 15 = 76 + 15. t = 91.
t minus 15 = 76. t minus 15 + 15 = 76 + 15. t = 91.
t minus 15 = 76. t minus 15 minus 15 = 76 minus 15. t = 61.
t minus 15 = 76. t minus 15 + 15 = 76 minus 15. t = 61.
Answer:
4. / D.
Step-by-step explanation:
[tex]t-15=76\\t=76-15\\t=61[/tex]
Answer:
The answer is B
Step-by-step explanation:
I got it right
:-)
In August, 6.35 inches of rain fell. In September, 10.2 inches fell. In both October and November, 5.85 inches fell. How much rain fell from August through November?
A: 13.22 inch
B: 19.07 inch
C: 22.4 inch
D: 28.25 inch
Answer:
28.25
Step-by-step explanation:
simple addition
6.35 + 10.2 + 5.85 + 5.85 = 28.25
[tex]89 + 96[/tex]
please help me how to solve this
Rewrite as ;
[tex]{:\implies \quad \sf (80+9)+(80+16)}[/tex]
[tex]{:\implies \quad \sf (80+80)+(9+16)}[/tex]
[tex]{:\implies \quad \sf 2(80)+(25)}[/tex]
[tex]{:\implies \quad \sf 160+25}[/tex]
[tex]{:\implies \quad \boxed{\bf 185}}[/tex]
Two times an integer minus 95 is equal to that integer divided by 6.
ANS FASTestttttttttttttttttttttttt
Answer:
x is 75° ........................
2. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for the balance of the account, then determine the amount of money in the account in 15 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}[/tex]
[tex]A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53[/tex]
ASAPPPPPPPPPPPP!!!!!!
Answer:
angle C measures 31 degrees.
Step-by-step explanation:
because when they are complementary, the two angles add up to 90 degrees and you know the measure of part of that 90 already, so its as simple as subtracting 90-59=31
Answer:
31
Step-by-step explanation:
complementary angles equal 90
90-59=31
Given KL←→− is tangent to ⊙F at point J, select all the statements that must be true
Given that the tangent KL to the circle at point J and the interior triangles ∆JGL, and ∆JFL, we have;
C. mHJL = mJGH
D. mGHJ = mKJG
How can the true statements be found?From the tangent secant interior angles measure theorem, we have;
mHJL = 0.5•mJFH
mJGH = 0.5•mJFH
Therefore;
mHJL = mJGHSimilarly
mGHJ = mKJGLearn more about the tangent and secant of a circle here:
https://brainly.com/question/25871159
NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.
Answer:
1/9
Step-by-step explanation:
1/3 x 1/3 =1/9
so
1/3 divided by 1/3 is 1/9
5 × 1 1/4
Do you know the answer?
Answer:
6 1/2 (mixed) or 25/4 (improper)
Step-by-step explanation:
Firstly, I made the mixed number an improper fraction; 5/4
Then I did the equation;
5/1 x 5/4 = 25/4
25/4 is 6.25 when divided, then made it a fraction; 6 1/4
Hope this helps!
need help will give the brainlest
Answer:
should be 4L
Step-by-step explanation:
there is 4 cups with 1L of water in them so you add them up to get the total amount .
Answer:
4 Liters
Step-by-step explanation:
1. Create Equation
1L+1L+1L+1L
2. Solve
1L+1L+1L+1L
1+1+1+1
2+1+1
2+2
4
3. Check
1+1+1+1=4
2+2=4
4=4
Correct
4. Answer
4L
Jay is measuring the angles of a triangle. He gets 30 degrees and 100 degrees, what is the measured third angle?
Answer:
50°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
3rd + 30° + 100° = 180°
3rd + 130° = 180° ( subtract 130° from both sides )
3rd angle = 50°
Answer:
50 degrees
Step-by-step explanation:
In any triangle, there are 180 degrees. If we add 100 degrees plus 30 degrees to get 130, simply subtract that from 180 the get the measure of the third angle. (180-130= 50) Hope this helps!
Why every values in maths has an approximation ?
( Example : The value of π,... )
Answer:
Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.
Answer:
Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.
Step-by-step explanation:
AB = 18, BC = 9, then AC = __
Answer:
AC=162/B
Step-by-step explanation:
AB= 18
A=18/B
BC=9
C=9/B
AC=18/B * 9/B
AC=162/B
GUYS PLS HELP
What kind of
drawing is this
figure?
A. A triangle
B. A perspective drawing
C. A cylinder
D. A net
B: A perspective drawing
Answer:
B. perspective drawing.
Step-by-step explanation: perspective drawings can be inspirational drawing and can be imagined and created to be like anything and can be anything.
Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the new laptop
Find the measure of the missing angle in this isosceles triangle.
The measure of the missing angle(a) in the isosceles triangle(two sides and angle equal) is 70 degrees.
What is an Isosceles triangle?
An Isosceles triangle is a triangle that has two of it sides equal to each other and two of it angles equal to each other.
The base angle of an isosceles triangle are equal. Therefore, let's find angle a in the triangle.
55 + 55 + a = 180
Recall the sum of angle in a triangle is 180 degrees.
110 + a = 180
subtract 110 from both sides
110 - 110 + a = 180 - 110
a = 70 degrees
learn more on Isosceles triangle here: https://brainly.com/question/4264350
Nick did 780 push-ups in 30 days, how many push-ups did he do each day?Show all work and explain how you came to your answer.
Question 1
Match each graph to the correct description of the number of solutions the system of equations has.
one solution
an infinite number of solutions
no solution
If one side of a square is 12 inches, what is the perimeter and area of the parallelogram?
Answer:
P = 48in
Step-by-step explanation:
P=4a=4·12=48in
7. Jack has a piece of string that is 48 in long. He divided it into 4 equal pieces of 1 foot each. What is the length of each piece of string?
Answer:
12 inches
Step-by-step explanation:
1 foot=12inches
48/12=4
Each of those pieces are 1 foot meaning each string is 12 inches.
Find the length of a picture frame whose width is 3 inches and whose proportions
are the same as a 9-inch wide by 12-inch long picture frame.
6 inches
Answer:
correct answer is 9 inches
Step-by-step explanation:
Literacy
Fill in the missing letters to make Maths related words:
Venn
Set
Diagram
Universal
S_r_i_g
Event
Probability
Not
Answer:
Sorting
Step-by-step explanation:
what is the word for:
The solid, liquid, or gas through which sound travels:
Answer:
I believe your answer would be Soundis
Answer:
A material through which sound waves can travel is called a medium.