The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.
When will the hands be perpendicular?The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.
Each hour that the hour hand moves, there is an angle of 30°.
The first time that we will have an angle of 90° between the hands is at:
1:20
Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.
The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
The sum of three consecutive even integers is 108. What is the largest number?
34
35
37
38
Answer:
38
Step-by-step explanation:38 because 108. x = 17. 2x + 4 = 34 + 4 = 38
Use the long division method to find the result when 4x3 + 12x2 + 172 + 9 is
divided by x + 1.
Answer:
216
Step-by-step explanation:step 1
first you are going to multiply and add all of the things that need to be multipied and added
4x3=12
12x2=24
172+9= 181
^ 12+24+181= 217
second step: put 217 and x+1 in an equation
you cant divide a number with an x, so you have to put it in an equation and solve for x
x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)
x=216
how do you find the square root for 9cm
[tex]\rightarrow[/tex]Square root of 9 is a whole number that is multiplied by itself to get the original number. The actual value of square root of 9 is 3.
√9 = ±3
[tex]\rightarrow[/tex]If we square +3 or -3, the resulting value will be equal to 9.
[tex]\sf{(+3)^2 = 9}[/tex]
[tex]\sf{(-3)^2 = 9}[/tex]
How to find?:-[tex]\rightarrow[/tex]Number 9 is an odd number and not a prime number. Prime numbers have only two factors, 1 and the number itself. But as we know, 9 have three multiple factors, 1, 3 and 9 itself. Thus, we can write the number 9 in the form of multiple as;
[tex]\sf{1 × 9 = 9}[/tex][tex]\sf{3 × 3 = 9}[/tex][tex]\sf{9 × 1 = 9}[/tex][tex]\rightarrow[/tex]You know that number 9 is a multiple of 3 or when 3 is multiplied by itself, we get the number 9. Therefore, we can write the square root of 9 as;
➾[tex]\sf{\sqrt{9}}[/tex]
➾[tex]\sf{\sqrt{3×3}}[/tex]
➾[tex]\sf{\sqrt{3^2}}[/tex]
[tex]\rightarrow[/tex]The square cancels the square root of a number. Therefore, if we cancel the square root with a square in the above expression, we get,
➾[tex]\sf{\sqrt{9}}[/tex] = ±3
__________________________________
Hope it helps you:)
A right angle intersects a line at point M.
A right angle intersects a vertical line at point M and forms 3 angles. From top to bottom going clockwise, the angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?
They are congruent.
They are right angles.
They are complementary.
They are supplementary.
Answer:
I've attached an image showing the intersection and the angle.
Answer:
C: They are complementary
Step-by-step explanation:
We can see from the image that angle 1, angle 2 and 90° are on a straight line. We know that sum of angles on a straight line is 180°. Thus;
∠1 + ∠2 + 90° = 180°
Rearranging, we have;
∠1 + ∠2 = 180° - 90°
Thus;
∠1 + ∠2 = 90°
Now, from angle proofs in trigonometry, it states that If the non-common sides of two adjacent angles add up to 90°, then it means that the angles are complementary.
In our problem here, sum of ∠1 and ∠2 equals 90°. Also, they are the non-common sides of 2 adjacent angles. Thus, we can say that they are complementary.
Step-by-step explanation:
Which set shows an average of 8?
A) A
B) B
C) A and B
D) none of the above
Answer: D
Step-by-step explanation:
None of the above
Answer:
Step-by-step explanation:
d
P1 = (1,5). P2 = (x,2) .p1p2=5
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} + 9 = 25[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) {}^{2} = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = 16[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 1) = \pm4[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \: \: or \: \: - 3[/tex]
What part of the expression below should be calculated first 8 x {22 x [15 + (14 x 2)]} A 8+22. B 22×15. C 14x2. D 15+14.
Answer:
14*2
Step-by-step explanation:
8 x {22 x [15 + (14 x 2)]}
With multiple parentheses work from the inside out
The inner most parentheses are
14*2
The table shows the location and magnitude of some notable earthquakes. How many times more energy was released by the earthquake in Peru than by the earthquake in Italy? Use the given equation for comparing earthquake intensity level and magnitude.
Using the given logarithmic equation, it is found that 158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
How many times more energy an earthquake releases than another?According to the logarithmic function given in the problem, the ratio between the amounts of energy released is given by:
log r = M1 - M2
In which M1 and M2 are the magnitudes.
In this problem, considering the earthquakes in Peru and Italy, the magnitudes are M1 = 8.1, M2 = 5.9, hence:
log r = M1 - M2
log r = 8.1 - 5.9
log r = 2.2
[tex]10^{\log{r}} = 10^{2.2}[/tex]
r = 158.5
158.5 more energy was released by the earthquake in Peru than by the earthquake in Italy.
More can be learned about logarithmic equations at https://brainly.com/question/25537936
Simplify the expression.
The cost of renting a community center is $100, with an additional cost of $10 per guest.
Which graph has the most appropriate scales and units for this situation?
Answer:
Units will be # attendees for the x axis
Units will be $ for the y axis
the graph should be y = 100 when x = 0 and then for each x increase of one the value of y will increase 10
Step-by-step explanation:
The number 3 is a common factor of _________.
A) 9 and 15
B) 6 and 10
C) 8 and 12
Answer:
A) 9 and 15.
Step-by-step explanation:
First, let's see what each number's factor is:
A)
9 : 1, 3 & 9
15 : 1, 3, 5 & 15
B)
6 : 1, 2, 3 & 6
10 : 1, 2, 5 & 10
C)
8 : 1, 2, 4 & 8
12 : 1, 2, 3, 4, 6 & 12
Therefore, The number 3 is a common factor of A) 9 and 15.
___
Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.
Answer:
g(x) is the translation of f(x) 2 units to the left and 4 units down
math again. marking as brainliest
Answer:
d po
Step-by-step explanation:
sna maka tulong hheeheh
what number is between 1.3 and 1.45
Step-by-step explanation:
1.3+1.45/2
= 1.75/2
=0.875
please it’s not hardHow many points are contained on a line?
infinitely many
20.000
none
Answer:
Infinitely many
Step-by-step explanation:
Infinitely many points are contained on a line.
Answer:
infinitely many
Step-by-step explanation:
A line consists of infinitely many points.
hope this helps!! p.s. i really need brainliest :)
Your first six-month auto insurance premium was $629.00. Based on your driving record, your renewal premium is $786.25. What percent increase did you see in your premium?
8%
20%
оооо
25%
32%
Hello!
Answer:
[tex]\Large \boxed{\sf 20\%}[/tex]
Step-by-step explanation:
→ We want to calculate the percentage increase we saw in our premium.
→ To calculate the percentage increase we saw in our premium, let's calculate the difference between our first six-month car insurance premium and our renewal premium:
[tex]\sf 786.25 - 629.00 = 157.25[/tex]
→ Calculate the percentage:
→ The formula used to calculate the percentage is:
[tex]\sf \dfrac{value}{total ~value} \times 100\%[/tex]
→ Apply this formula with value = 157.25 and total value = 786.25:
[tex]\sf \dfrac{157.25}{786.25} \times100\%[/tex]
→ Simplify the expression:
[tex]\sf \dfrac{157.25}{786.25} \times100\%\\\\\\= 0.2 \times100\%\\\\\\= 0.2 \times \dfrac{100}{100} \\\\\\= 0.2 \times 1\\\\\\= 0.2\\\\\\= \dfrac{20}{100} \\\\\\\boxed{\sf= 20\%}[/tex]
So the percentage increase we saw in our premium is 20%.
if f(-3)=14 what would be the equation for f(x)
Answer:
Step-by-step explanation:
if quadratic
(-3)²+5=9+5=14
so f(x)=x²+5
or
if linear
(-3)+17=14
f(x)=x+17
if cubic
(-3)³-2(-3)²-3(-3)+14=14
f(x)=x³-2x²-3x+14
so on.
Find the center and the radius of the circle.
(x-4)^2 + (y + 3)^2 = 74
Answer:
radius = [tex] \sqrt{74} [/tex]center = [tex](4,-3)[/tex]Step-by-step explanation:
We would like to calculate the centre and the radius of the circle . The given equation is ,
[tex]\longrightarrow (x - 4)^2+(y+3)^2=74 [/tex]
As we know that the Standard equation of circle is given by ,
[tex]\longrightarrow (x - h)^2+(y-k)^2=r^2[/tex]
where ,
[tex](x,y)[/tex] is a point on circle .[tex](h,k)[/tex] is the centre of circle .[tex]r[/tex] is the radius of the circle .We can rewrite the equation as ,
[tex]\longrightarrow (x-4)^2+\{ y -(-3)\}^2=(\sqrt{74})^2\\ [/tex]
Now on comparing to the standard form , we have ;
radius = [tex]r[/tex] = [tex]\sqrt{74}[/tex]center = [tex](h,k)[/tex] =[tex](4,-3)[/tex]Graph :-
[tex] \setlength{\unitlength}{7mm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\circle*{0.2}}\put(0.2, - .1){(4,-3)}\put(-1.2,0){\vector(0,1){5}}\put(-1.2,0){\vector(0, - 1){5}}\put(-1,0.7){\vector(1,0){5}}\put(-1,0.7){\vector( - 1,0){5}}\put(0,0){\line(-1,0){2.3}}\put( - 1.2,-0.7){$\sf \sqrt{74}$}\put(2,6){$\boxed{\sf \textcopyright \: RISH4BH }$}\end{picture} [/tex]
And we are done !
We are given the equation of circle (x - 4)² + (y + 3)² = 74 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-4)^{2}+(y+3)^{2}=74}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-4)^{2}+\{y-(-3)\}^{2}=({\sqrt{74}})^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (4, -3)Radius = √74 units416
Chapter 7 Graphing and Functions
16. 2y - 5 = 0
ху
Answer:
y=2
Step-by-step explanation:
add 5 to 0 then divide 5 with 2
pythag test. question in screenshot
Choose the correct graph of the function y=√x+2 .
Answer:
[D]
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 2
1 3
2 3.41
Graph is below:
[RevyBreeze]
Find the area of the following shape. (8 points)
what is the answer?
Answer:
72 square units
Step-by-step explanation:
Identify the heightIdentify the lengthMultiply those two togetherThat is your answerH = 9 units
L = 8 units
A = H × L
A = 9 × 8
A = 72 square units
4 3/5 - 4/5 = ?
please explain it
ixl
Answer:
[tex] \frac{19}{3 } \: or \: 3 \frac{4}{5} [/tex]
Step-by-step explanation:
Change the mixed number into a regular fraction.
[tex] \frac{23}{5} - \frac{4}{5} [/tex]
Subtract the numerator.
[tex] \frac{19}{5} [/tex]
As a mixed number:
[tex]3 \frac{4}{5} [/tex]
Using the digits 1, 3, and 5 only once, write the greatest
and least three-digit numbers you can.
Answer:
Greatest: 531
Least: 135
Step-by-step explanation:
In order to make the greatest number, you want the highest number to be in the highest digits place.
In this case, 5 is the largest number
This is because having a number that is 500 is greater than a number that is 300 or 100.
Then, the next biggest number will be used for the next digit, which is 3, so 3 will be in the 10s place
Then the left over 1 will be in the single digits place, so the greatest number is
531
This is the same process as before, just instead of big numbers, you want little numbers
For the least number, you want the lowest number to be in the 100s place, which is 1
Then 3 is the next lowest number
and the left over is 5
So the least number you can make is:
135
A 22° B 54° С What is the measure of AD? O 108° 0 27° 126 54°
Answer:
A. 108
sorry if im wrong but if u am I'm so sorry
Find the solution(s) to the system
y = x2-4
y = -2x – 5
Answer:
=(-1,-5)
Step-by-step explanation:
y=X1=4
y=-2x-5-2
the question is attached
I have attached the questions below please help me
Answer:
point A is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Which equation represents the graphed function?
-3x + 2 = y
-2/3x+2=y
3/2x-3=y
2x-3 = y
The linear equation that represents the graph is 3/2x - 3 = y
Data;
-3 + 2 = y-2/3x + 2 = y3/2x - 3 = y2x - 3 = yLinear EquationFrom the given graph, we can see at the x-axis that the line touches at point 2 and at the y-axis, the line touches at point 3.
If we decide to multiply through by 3 to eliminate the fraction, the equation would look like this.
[tex]\frac{3x}{2} -3 = y\\2(\frac{3x}{2}) -3(2) = 2(y)\\3x - 6 = 2y[/tex]
Kindly find the attached image of the graph.
Learn more on linear equation here;
https://brainly.com/question/14323743
Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?
Answer:
70%
Step-by-step explanation:
First we express this as a fraction:
14/20
Then we express it as a decimal: (by doing 14÷20)
0.7
Now we express it as a percentage by multiplying the decimal by 100:
0.7×100%
70%
Answer:
70%
Step-by-step explanation:
GIven:
Eli planted 14 out of his 20 tomato plants so far in his garden. What percentage of his tomato plants has he planted?
Solve:
14/20 x 100
0.7 x 100
70%
Hence, 70% of his tomato plants he planted.
~Lenvy~
A gas tank holds exactly 14 gallons of gas. If the tank is 2/3 empty, how many gallons remain in the tank?
2/3 empty would mean 1/3 of the total would remain:
14 gallons x 1/3 = 4 2/3 gallons are left in the tank