Answer: 20 cm
Step-by-step explanation:
Given
For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm
Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]
Insert the values
[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]
The expression 6.7\cdot1.45^t6.7⋅1.45 t 6, point, 7, dot, 1, point, 45, start superscript, t, end superscript models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project ttt years since 200220022002. What does 1.451.451, point, 45 represent in this expression?
Answer: 1.45 is a growth factor.
Step-by-step explanation:
Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)
Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.
Here, b=1.45 >1
Thus,1.45 is a growth factor.
Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2
Answer:
1.6.7*520=3484
Step-by-step explanation:
( I).67*0.52
convert that 0.52 to proper fraction
67×13/25=871/25
which is=34.84
(III). 3484/5.2
convert 5.2 to improper fraction ❤️
=52/10=26/5
3484/26/5=3484×5/26=670
Evaluate the function.
f(x) = -x^2 + 6
Find f(-3)
Answer:
-3
Step-by-step explanation:
You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.
|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
Need help ASAP DUE IN A COUPLE MINUTES PLEASE AND SHOW WORK ?!!!
Answer:
here u go
Step-by-step explanation:
what i did was 15*7 which is 105
and then i did 105/2 which is 52.5 ft
Answer:
V = 1237 cubic feet
Step-by-step explanation:
V of cylinder = πr^2h
r = 7.5 ft (15/2)
h = 7 ft
v = ((7.5)^2)π*7 = 1237.002107 cubic feet
Which is an equation of a direct proportion? CLEAR CHECK y=8x y=12x+4 y=12x y=4x−4
Answer:
[tex]y=8x, \\y=12x[/tex]
Step-by-step explanation:
Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:
[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]
Answer: Y=8x
Step-by-step explanation:
What is the surface area and volume of this shape?
Answer:
894.14 mm^2.
Step-by-step explanation:
i did this.
True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false
Answer:
False ..... ....... . . .. ..
PLEASE please help me with this!! its due tonight. THANK YOU.
explaining your answer = brainliest
the area of the parallelogram is 49 square centimeters.
y = ___ cm
Answer:
[tex]y = 12.25[/tex]
Step-by-step explanation:
Area of parallelogram = [tex]49 {cm}^{2} [/tex]
∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]
[tex]∴ \: s = y[/tex]
[tex]y = \frac{49}{4} [/tex]
[tex]y = 12.25[/tex]
Hope it is helpful...please help. its for an assignment that is due today.
tina works 15 hours a week (monday to friday). last week she worked 3 1/2 hours on monday, 4 hours on tuesday, 2 1/6 hours on wednesday and 1 1/2 on thursday. how many hours did she works on fridays
Answer:
Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.
Step-by-step explanation:
To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.
Step 1 : Add up all the hours worked so far.
[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1\frac{1}{2}[/tex] = ?
We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.
[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]
Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.
Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.
15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]
Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.
Hope this helps, please mark brainliest if possible. Have a great day.
A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit
Answer:
The system of equations is:
x + y = 250 (1)
7.25x + 5.50y = 1602.50 (2)
with x = Adult tickets
y= student tickets
Solution
Let's equation (1)
x+y=250
x=250-y (a)
subtitute x in aquation (2)
7.25(250 - y) + 5.50y=1602.50
1812.50 - 7.25y + 5.50y= 1602.50
1812.50 -1.75y = 1602.50
-1.75y = 1602.50 - 1812.50
-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign
y= 210/1.75
y= 120
Substitute y in equation (1)
x + 120 = 250
x= 250 - 120
x =130
Let's check our results in equation (1)
x + y =250
120 + 130= 250 ↔ 250 = 250
At the end of the evening they 120 students tickets and 130 adults tickets
Step-by-step explanation:
You can check the results in any of the equations
Suppose a city with a population of 700,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 25 years. The population in 25 years will be approximately...?
Answer:
approximately 1,925,000
Step-by-step explanation:
700,000 * 0.07 = 49,000 this would be the growing rate per year.
49,000 * 1,225,000 this would be the population grown in 25 years.
700,000 + 1,225,000 = 1,925000 this would be the total population that was in the city and the population that has grown in the 25 years.
Hope this helps
X+3y=6 2x+8y=-12 Solve silmatenous equations
Answer:
[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]
Please help if yk tha answer :))
Answer:
cos θ = -0.948
Step-by-step explanation:
First find θ of sin θ by taking the inverse:
θ = arcsin(0.312).
Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).
arcsin(0.312) = 0.317297388112..
[ Hold on I am finishing up work ]
Which set of ordered pairs could be generated by an exponential function?
(1,1), (2,1/2), (3,1/3), (4,1/4)
(1,1), (2,1/4), (3,1/9), (4,1/16)
(1,1/2), (2,1/4), (3,1/8), (4,1/16)
(1,1/2), (2,1/4), (3,1/6), (4,1/8)
Answer:
C
Step-by-step explanation:
y=x(1/2)^x
What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area
Answer:
29.4 cm^2
Step-by-step explanation:
We can use a proportion to find the height:
120 : 100 = x : 7
x = (120 *7)/100 = 8.4 cm
Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2
Answer:
29.4cm²
Step-by-step explanation:
First we are going to find 120% of 7.
7 × [tex]\frac{120}{100}[/tex] = 8.4 cm
Therefore, 8.4 cm is the height.
Area = [tex]\frac{1}{2}[/tex] Base × Height
= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²
the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation
Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
Please help me with this
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y
If X = 14 units and h = 8 units, then what is the area of the triangle shown above?
Answer:
56 units
Step-by-step explanation:
Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.
In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!
[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]
Therefore, the area of the triangle is 56 units.
I hope this helps! Please let me know if you have any questions :)
Solve for in the diagram below.
(2x + 45°
7
RO
7 -
Answer:
45°
Step-by-step explanation:
The angles should add to 180°. so we can say 2x+45+x=180
3x+45=180
3x=135
X=45°
Answer:
x = 45°
Step-by-step explanation:
The sum of both angles should add up to 180°, because they are supplementary. Supplementary angles is just another way of saying two angles on a straight line. In order to find the value of x:
Given |
[tex]2x + 45 + x = 180[/tex]
2x + x
Combine like-terms. |
[tex]3x + 45 = 180[/tex]
180 - 45
Subtraction Property of Equality. |
[tex]3x = 135[/tex]
135 / 3
Division Property of Equality. |
[tex]x = 45[/tex]
4x +y = 10 graph the linear equation
The science department orders a new telescope and pays $253.87 after tax. The tax rate is 6% . What was the original price of the telescope
Answer: dont listen to the answer above
Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet
What is the value of y in the equation y = 3x - 2, when x = 2
Answer:
y=4
Step-by-step explanation:
3 x 2=6
6 - 2= 4
Answer:
y = 4
Step-by-step explanation:
Equation: y = 3x - 2
Plug in x = 2
New equation: y = 3(2) - 2
Simplify: y = 6 - 2 --> y = 4
Answer: y = 4
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4
PLEASE HELP ME!! this is due tonight and i really need help with this so i can do other assignments
explaining your answer = brainliest/ five stars
the area of this square = ___ cm
Answer:
64cm² I think :) if u get it wrong dont blame it on me.
Answer:
64 cm^2
Step-by-step explanation:
The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)
A = s^2
= 8^2 (8 x 8)
= 64 cm^2
Factorise completely the expression below: 6ax+12by-9ay-8bx
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
Which of the following best describes the graph of the polynomial function
below?
Answer:
Step-by-step explanation:
The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros. This parabolic curve opens up and has its vertex (minimum) at (-1, -1).
Answer: The graph has two zeros.
Step-by-step explanation:
The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.
y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.
You can see the height degree of the function is 2.
Therefore, there should be two zeros of the function.
According to the given graph of parabola has two zeros at x = -2 and x = 0.
The graph cross the x-axis at x = -2 and x = 0.
Hence, the graph has two zeros.
Answer is A. The graph has two zeros
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
What is the translation shown in the graph?
Answer:
The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2
Answer:
P= (1,-1)= P'= (-3,1)
T=(4,-1)=T'= (0,1)
R=(5,1)=R'= (1,3)
A= (5,3)=A'= (1,5)
So you would move the points 4 units across (left) and 2 units up (2,-4)
I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!