The ratio of the interior angle measures of a triangle is 1:4:5 what are the angle measures?
Answer:
18° , 72° , & 90°
Step-by-step explanation:
First, set all 3 numbers in the ratio given and multiply it by 'x', then set it equal to 180° because all angles in a triangle add up to 180°
The equation will be:
1x + 4x + 5x = 180°
10x = 180°
divide both sides by 10 to get 1x on the left side:
[tex]\frac{10x}{10} =\frac{180}{10}[/tex]
x = 18
Then plug 18 in, instead of 'x', similar to in the first step:
1(18) = 18°
4(18) = 72°
5(18) = 90°
(1,-3) (-3,1) find the slope intercept form
Answer:
[tex]y=-x-2[/tex]
Step-by-step explanation:
1) First, find the slope between these 2 points.
(1, -3)
(-3, 1)
The change between the y-values is 4.
[tex]1--3=1+3=4[/tex]
The change between the x-values is -4.
[tex]-3-1=-4[/tex]
Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.
[tex]\frac{4}{-4}=1[/tex]
If you just wanted to use the slope formula, you could do that too:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]
2) Second, now you can use the slope to calculate the y-intercept.
Pick whichever point you want, and plug it into the equation along with the slope and solve for b.
(1, -3) = (x, y)
[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]
The y-intercept is -2.
3) Finally, you can wire the equation in slope-intercept form.
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the values we found and you're done:
[tex]y=-x-2[/tex]
May I please receive help?
Answer:
4.8 feet
Step-by-step explanation:
a² + b² = c²
a² + 11² = 12²
a² + 121 = 144
a² = 23
a = [tex]\sqrt{23}[/tex]
a, or the height of the kite ≈ 4.8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
(5j - 2q + 2/5) - (4 - 3j - 1/2q)
Answer:
8j - [tex]\frac{3q}{2}[/tex] - [tex]\frac{18}{5}[/tex]
Step-by-step explanation:
hope this helps! :D
The lines graphed below are parallel. The slope of the red line is 3. What is the
slope of the green line?
5
-5
5
O A. - 1 / 1
O B. 3
C.-3
Answer:
The correct answare should be slope of 3.
Step-by-step explanation:
Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.
Hellp! To get points!
Answer:
your answer would be B.
Step-by-step explanation:
for this fraction equation all you need to do is round the 2 up to a 8 putting it at 4/8, round the 4 up to a 8 putting it at 2/8, and keep the 1/8 the same. then add them all together and you would get 7/8
Answer:
b 7/8
Step-by-step explanation:
your gonna change everything to eights
Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.
The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
Learn more about exponent rule here:
https://brainly.com/question/2254060
B1
F
Ayesha plays hockey.
Last year Ayesha scored 8 goals.
This year Ayesha scored 13 goals.
Calculate the percentage increase
in for the number of goals
scored.
Answer:
60% Increase
Step-by-step explanation:
Ayesha scored 5 more goals over her previous goal count of 8. That means:
(5/8) = 0.60 or 60% increase.
A 60% increase means a factor of 1.6 (1 + 0.6)
(8 goals)*(1.6) = 13 goals
Answer:
13 _18= 5
5/13×100%=38.46%
please help mwah
ty :)
Answer:
y-9 = -4(x+2)
Step-by-step explanation:
-
Hope that helps
Help ! Aanswer ! Read the direction and answer with proof ! I'll give brainliest to whose right.
Answer:
x > 14 ; x < 12
Step-by-step explanation:
Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14
Area < 138, so that means 3*(4x-2) < 138, so x < 12
Yovani can do 8 math problems in 1 3/5 of a
minute. How many problems can he
complete per minute?
Answer:
5 Problems
Step-by-step explanation:
Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]
Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]
Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]
Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]
Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]
Cross out the common factor: 5
get the result: 5
Answer: 5
A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]
[6 8 10 ]
The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60 A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60 A ?
Each element of the matrix are multiplied by the scalar to form a matrix of
same size as the original matrix in matrix scalar multiplication.
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]Reasons:
The matrix A is presented as follows;
[tex]A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}[/tex]
Using the multiplication of a matrix and a scalar, we have;
[tex]60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right][/tex]
Therefore;
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]
Learn more about matrices here:
https://brainly.com/question/14296012
Please help me solve #9, and please 10
Answer:
#9. y = -250x
#10. y = -2500, x = 100
Step-by-step explanation:
y = mx +b
y: y-value
m: slope
x: x-value
b: y-intercept
since your answer for #8 is -250, the slope would be -250 or m would be -250
y = -250x+b
now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)
plug in the points
-250 = -250(1)+b
solve for b
b = 0
thus the equation is y = -250x + 0 or y = -250x
#10 plug in x values and y values into equation to get answer
x = 10 -> y = -250(10) = -2500
y = -25,000 -> -25,000 = -250x
x = -25,000/-250
x = 100
Complete the sentence.
Twenty-four is % of 80.
Answer: 24 of 80 is 30%
Step-by-step explanation:
24 of 80 can be written as: 24/80
To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100
= (24x100 / 80 ) x 1/10 = 30/100
Therefore, the answer is 30%
If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.
Write an equation in point-slope form that has a y-intercept at (0, 12) and also contains the point (1,2)
Answer:
y-2=-10(x-1).
Step-by-step explanation:
The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).
What is a if 5 to the power of a is 1/125
Answer:
its 84.987
Step-by-step explanation:
Trust me im smart :)
leilani rides her bike for exercise and drinks 70 ounces of water each day in order to stay hydrated.before her morning ride, she drinks 14 ounces of water leilani wants to know what percent of the daily amount of water she has before her ride. find an equivalent ratio where the total amount of water is 100 ounces
Step-by-step explanation:
we need to find how much 14/70 is equal to ? over 100
100/70=1.42857142857
14x1.42857142857=20
Therefore she drinks 20/100 she drinks before she goes on a ride.
or 20%
it's 20
I got it right on iready
At the school dance, between 6 and 7pm, 10 students per minute arrived. If there are 2050 students in the school,
what percent of them arrived at the dance between 6 and 7pm?
Answer:
600 is 29.268292682927% of 2050.
29.30% rounded off 1 decimal place (tenths)
29.27% rounded off 2 decimal places (hundredths)
Step-by-step explanation:
6-7pm is 1 hr.
1hr = 60 min
10 students per min
60 min * 10 = 600
600 ÷ 2050 = 0.29268292682927 = 29.268292682927%
PLEASE SOMEBODY PLEASE HELP ME ANSWER THIS QUESTION RIGHT PLEASE I REALLY NEED HELP NOOOO SCAMS PLEASE
Step-by-step explanation:
Please forgive me if I'm wrong but I would choose A, B, and E.
Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.
If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.
Here is the remainder for both. No the remainders are not equal.
add the quotient of 9 and 7 to d
Answer:
9 ÷ 7 + d.
Step-by-step explanation:
Which number goes in the square with the question mark?
[?] ÷ 3 = 2 N
N = 21 ÷ 3-3
A. 0
B.7
C.8
D.24
Answer:
this has to do with trial and error
since N=21÷3-3
so 21÷3-3=4
therefore N=4
substitute for N
2×4=8
8×3=24
therefore 24÷3=2×4
Use the distributive property to remove the parentheses
Simplify your answer as much as possible,
10(2/5-3x)
Answer:
4 - 30x
Step-by-step explanation:
10(2/5-3x)
(10 x 2/5) - (10 x 3x)
4 - 30x
Step-by-step explanation:
10 ×2/5 = 4
10 × -3x = - 30x
= 4 - 30x
PLEASE NO LINKS AND NO NEGATIVITY!!!
Answer:
-2x + 8
Step-by-step explanation:
32x + 8 - 34x
(32 - 34)x + 8
-2x + 8
-2x + 8
Explanation:-=> 32x + 8 - 34x
=> (32 - 34)x + 8
=> -2x + 8
4. Find the difference. (-7p + 10) - (p + 12)
Answer:
-8p -2
Step-by-step explanation:
(-7p + 10) - (p + 12) =
-7p + 10 - p - 12 =
-8p -2
PLEASE HELP I THINK THIS IS EASY BUT I DONT WANT TO DO IT
Answer:
14,20
Step-by-step explanation:
Calculate the value of 2x and 3x
Answer:
2x= 88
3x = 132
Step-by-step explanation:
The sum of the angles that form a circle is 360
2x+3x+140 = 360
5x+140 = 360
5x+140-140 = 360-140
5x= 220
Divide by 5
5x/5 = 220/5
x=44
2x= 2*44=88
3x = 3*44=132
Find the side lengths in the following triangle.
Answer:
I'm not too sure which one you need, so choose what answer needs to go in the box!
JL= 44.5
JK=23.3
KL=23.3
Step-by-step explanation:
Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:
V N
4x - 10.7 = 2x + 6.3
+10.7. +10.7
_________________
4x = 2x + 17
-2x -2x
2x = 17
So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.
2x = 17
÷2. ÷2
_______
x = 8.5
So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.
4 × 8.5 = 34
34 - 10.7 = 23.3
Since JK and KL are equal, they are both 23.3.
5 × 8.5= 42.5
42.5 + 2 = 44.5
JL=44.5
what’s 75 percent of 120
Answer:
90
Step-by-step explanation:
q
HELP ME PLEASE GUYS ! :)
Answer:
(12, 1)
Step-by-step explanation:
Arbitrarily choose y = 1. Then x - 6y = 6 becomes
x = 6(1) + 6, or x = 12.
Thus, one (of many) point on the graph is (12, 1).