Answer:
11, take 22 and divide by 2 because radius is half
Step-by-step explanation:
hope this helps
Answer:
r = 11 ft
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 (d)
r= 1/2 (22)
r = 11 ft
Solve the simultaneous equations
x + 7y = 15
x + 2y = 5
Answer:
x=1, y=2
Step-by-step explanation:
x + 7y = 15
x + 2y = 5
Subtract the two equations
x + 7y = 15
-x - 2y =- 5
------------------------
0x +5y = 10
Divide by 5
5y/5 = 10/5
y =2
Now find x
x+2y = 5
x +2(2) = 5
x +4 = 5
Subtract 4 from each side
x-4+4 = 5-4
x = 1
The equation y1=x^2−4x represents Function 1. The graph of Function 1 is shown
Function 2 is represented by the equation y2=x−6. Which values are solutions to y1=y2? Select each correct solution.
x=−6
x=0
x=1
x=2
x=3
x=6
Answer:
x = -1, 6
Step-by-step explanation:
Equation of function 1 is,
y₁ = x² - 4x
Equation of function 2 is,
y₂ = x - 6
If y₁ = y₂
x² - 4x = x - 6
x² - 4x - x + 6 = 0
x² - 5x + 6 = 0
x² - 6x + x + 6 = 0
x(x - 6) + 1(x + 6) = 0
(x + 1)( x - 6) = 0
x = -1, 6
Answer:
x = 2 and x = 3
Step-by-step explanation:
y1 = 2^2 - 4(2)
2 x 2 - 8= -4
y2 = 2 - 6 = -4
y1 = 3^2 - 4(3)
9 - 12 = -3
y2 = 3 - 6 = -3
CAN ANYONE SOLVE THIS QUICK!
Answer:
52.8
Step-by-step explanation:
We take the midpoint of the range as, x
Midpoint = (lower + upper) /2
Midpoint, x ___ Frequency, F
15 ___________ 7
45 __________27
75 __________12
105 __________4
The mean :
Σfx / Σf
= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)
= 2460 / 50
= 52.8
Grahsm and Ahir share £30 in the ratio 3 : 1. Work out how much money Graham gets?
Answer:
Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Step-by-step explanation:
Add 3 and 1: 3 + 1 = 4.
Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Check: is the ratio
£22.5
---------- equal to 3:1? YES
£7.5
Do £7.5 and £22.5 sum up to £30? YYES
---------- =
-----
A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the
middle of it with a radius of 5 cm.
Find the volume of the cylinder that remains, rounded to the nearest whole number.
Answer:
[tex]V = 518cm^3[/tex]
Step-by-step explanation:
Given
[tex]h = 15cm[/tex]
[tex]R = 6cm[/tex]
[tex]r =5cm[/tex]
Required
The volume of the remaining cylinder
Before the cut-out, the cylinder has a volume (V) of:
[tex]V = \pi R^2h[/tex]
After the cut-out, the cylinder has a volume of:
[tex]V = \pi [R^2 -r^2]h[/tex]
So, we have:
[tex]V = 3.14* [6^2 -5^2]*15[/tex]
[tex]V = 3.14* [36 -25]*15[/tex]
[tex]V = 3.14* 11*15[/tex]
[tex]V = 518cm^3[/tex]
What is the value for x?
69
(5x + 2)
Enter your answer in the box
(9y-3)
Answer:
[tex]5x + 2 \\ x = 5 - 2 \\ x = 3 \\ \\ 9y - 3 \\ y = 9 + 3 \\ y = 12[/tex]
Help me now now now now now
Answer:
-2 = -6
Step-by-step explanation:
first, you type -2 in the left box and -6 in the middle box
Class width is 2
Find mode
Answer:
7.22
Step-by-step explanation:
solved in the diagram
help
PLEASE HEPP ME PLEASE
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Height of 1/2 of glass #2
84.8+ 56.5 = 141.41
thus 1/2 of #2 = 70.5
70.5 - 56.6 = 14 (all of 1/2 sphere filled plus 14 into cylinder)
14/[(π)*(3)^2* 3]= .16 of the cylinder... 3*(0.16) = .48
total height = 3.48
50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answer:
A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²
169 = 144 + 25
169 = 169
D:4*sqrt(2)
E: LSA of a cube = 100 in²
Step-by-step explanation:
Hope this helps
Please help!!! I don’t know how to do this
Answer:
O C. x = 3
Step-by-step explanation:
If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).
4days : 2 weeks simplify
Answer:
2:7
Step-by-step explanation:
ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.
Answer:
2 : 7
Step-by-step explanation:
7 days = 1 week
y days = 2 weeks
[tex]\frac{1}{7} :\frac{2}{y}[/tex]
1 × y = 2 × 7
y = 14
4 days : 14 days
4 = 2 × 2
14 = 2 × 7
GCF = 2
4 ÷ 2 = 2
14 ÷ 2 = 7
2 : 7
a chalkboard is 250 cm long and 60 cm wide what is the area of the chalkboard
Answer:
15000 cm^2
Step-by-step explanation:
Area is found by multiplying the length and width. 250 cm times 60 cm equals 15000 cm squared.
Step-by-step explanation:
by the given information it seems to be the chalkboard is rectangular so the area of rectangle is = length × breadth..
So, 250cm×60cm
=15,000cm² is the Area
A car was traveling at a rate of x miles per
hour for 3 hours. How far did the car travel?
x^2-10x=1 Solve by completing the square
Answer:
x = 5±sqrt(26)
Step-by-step explanation:
x^2-10x=1
Take the coefficient of x
-10
Divide by 2
-10/2 = -5
Square it
(-5)^2 = 25
Add this to both side
x^2-10x+25=1+25
(x-5)^2 = 26
Take the square root of each side
sqrt((x-5)^2) = ±sqrt(26)
x-5 = ±sqrt(26)
Add 5 to each side
x = 5±sqrt(26)
Answer:
-0.0990195 and 10.09902
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides
x^2-10x+?=1+?
To complete the square x^2-10x+25=(x-5)^2 add 25 to the expression.
x^2-10x+25=1+?
Since 25 was added to the left-side, you need to add it to the right-side as well.
x^2-10x+25=1+25
use a^2-2ab+b^2=(a-b)^2 to factor this expression.
(x-5)^2=1+25
Then add the numbers together.
(x-5)^2=26
Solve for x.
x1=-squareroot26+5
x2=squareroot26+5
therefore you have 2 solutions
x1=-squareroot26+5
=-0.0990195
and
x2=squareroot26+5
=10.09902
Express it in slope-intercept form.
Answer:
y = 1/2x -1
The slope is increasing by 2/4, which can be reduced to 1/2. You can find this by doing rise over run.
The y intercept is -1
What transformation(s) were made to the original f(x) = x graph?
The function was stretched by
factor of 2
The function was shifted to the left 3 units
The function was reflected over the y-axis
The function was shifted upward 2 units
The function was shifted to downward 3 units
The function was reflected over the x-axis
The function was shifted to downward 2 units
The function was stretched by a factor of 0.5
A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. If the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?
1 percent
5 percent
11 percent
15 percent
Answer:
the answer is 5 percent
Step-by-step explanation:
The probability of experiencing heartburn is 5 percent. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Given that, the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent.
Let Event A: Headache and Event B: Heartburn.
P(A)=0.05, P(A∩B)=0.02
The probability of experiencing a headache or heartburn is 8 percent, hence:
P(A∪B)=0.08
Now, P(A∪B)=P(A)+P(B)-P(A∩B)
0.08=0.05+P(B)-0.02
P(B)=0.05 or 5%
Therefore, option B is the correct answer.
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can somebody help me with these questions
Answer:
The first one is B. 11.75
The second one is A. 4
Step-by-step explanation:
In order to find how many liters (L) of paint he used you need to do 2.5*5.5=13.75 Then to find out how much he has left you do 25-13.75=11.75 So your answer is 11.75.
The second one you have to do the reverse. So since it says 4*_=48, you do 48÷4=_=12. Then since it says 12*1/3=_ You can do 12÷3=_=4 So your answer is 4.
find the area of the polygon.
I WILL MARK BRANIEST PLS ANSWER
Answer:
15cm^2
Step-by-step explanation:
The given polygon is a parallelogram,
Area of a parallelogram = Base * Height
= 5cm * 3cm
= 15cm^2
Hope it helped :)
the answer for this is 7.5
or when run becomes 8
Step by Step Explanation:
taken triangle KLM.
Area of a triangle=
[tex] \frac{1}{2} \times base \: \times height[/tex]
[tex] \frac{1}{2} \times 5 \times 3 \\ [/tex]
[tex] \frac{1}{2} \times 15[/tex]
= 7.5 or when run becomes 8Write an inequality to describe the relationship between -1 2/3 and-1/4
Step-by-step explanation:
- 1⅔ < -¼
__________________
There is a bag filled with 5 blue and 6 red marbles.
Marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
thanks,
Answer:
[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297
Step-by-step explanation:
Answer:
36/121
Step-by-step explanation:
We have 5+6 = 11 marbles
P(red) = number of red/ total = 6/11
We replace the marble so we still have 11 marbles
P(red) = number of red/ total = 6/11
P(red, red) = 6/11*6/11 = 36/121
Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3
Answer:
0.00045 [tex]m^{3}[/tex]
Step-by-step explanation:
450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]
1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]
= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]
Answer:
450 (cm*3) = 0,00045 (m*3)
Step-by-step explanation:
Which conjunction about whole numbers is true?
The sum of two non-zero even numbers is even and less than the addends.
The sum of two non-zero even numbers is even and greater than the addends.
The difference of two non-zero even numbers is odd and less than the larger number.
The difference of two non-zero even numbers is odd and greater than the larger number.
Answer:
The sum of two non-zero even numbers is even and greater than the addends
Step-by-step explanation:
The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first number be p
Let the second number be q
Now , the values of p and q are even
So , when p = 2 and q = 4
The sum of two non-zero even numbers is even and greater than the addends
p + q > q be equation (1)
p + q > p be equation (2)
2 + 4 > 4
2 + 4 > 2
6 > 4 and 6 > 2
Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends
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UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number
Answer:
x = 15.8
Step-by-step explanation:
let the number be x
according to the question equation is
x*5 - 2 = 77
5x - 2 = 17
5x = 77 + 2
5x = 79
x = 79/5
x = 15.8
Answer:
5x - 2 = 77
x = 15.8
Step-by-step explanation:
a number - x
times 5 - 5x
minus 2 - 5x - 2
equals 77 - 5x - 2 = 77
77 + 2 = 79
79 ÷ 5 = 15.8
5(15.8) - 2 = 77
Solving equations:
(a) 5x - 9 = 3x + 3
(b) x + 6 = 34 - x
Answer:
a) 5x - 9 = 3x + 3
5x - 3x = 3 + 9
2x = 12
x = 12 / 2
x = 6
b) x + 6 = 34 - x
x + x = 34 - 6
2x = 28
x = 28 / 2
x = 14
[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️ PLZsolve the proportion x-4/6=x/8
The solution to the proportion is x = 16.
We have,
To solve the proportion (x - 4)/6 = x/8, cross-multiply and then solve for x.
Cross-multiplying gives:
8(x - 4) = 6x
Now, distribute the 8 on the left side:
8x - 32 = 6x
Next, isolate the x term by subtracting 6x from both sides:
8x - 6x - 32 = 6x - 6x
2x - 32 = 0
Finally, add 32 to both sides to solve for x:
2x - 32 + 32 = 0 + 32
2x = 32
Divide both sides by 2:
(2x)/2 = 32/2
x = 16
Therefore,
The solution to the proportion is x = 16.
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PLZ HELP! I will give brainliest!!!
Answer: x axis is time in hours, y axis is water level in centimeters
I can't see the rest of the problem since you didnt show it
Step-by-step explanation:
you have five dollar bills and ten dollars bills for a total amount of $325. you have a total of 37 bills. A) write a system of linear equations that models the situation. B) how many of each type of bill do you have?
Answer:
nine $5 bills and twenty-eight $10 bills
Step-by-step explanation:
f = # of five dollar bills
t = # of ten dollar bills
system of equations:
t + f = 37
10t + 5f = 325
solve the first equation for 't' to get:
t = 37-f
substitute '37-f' to 't' in second equation to get:
10(37-f) + 5f = 325
370 - 10f + 5f = 325
-5f = -45
f = 9
t + 9 = 37
t = 28
IF YOU ANSERW MY MATH QUESTIONS ILL GIVE ADTINAL 50) POINTS FOR each question and crown evry question.
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Answer:
220.4 feet below sea level
Step-by-step explanation:
use the following formula:
rate x time = distance
(rate going down)(time going down) = distance going down.
so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:
(2.2 ft/sec)(91 seconds) = distance of 198 feet.
she then ascends for 32 seconds at a speed of 0.7 feet/second.
so, substitute that;
(0.7 ft/sec)(32sec) = distance of 22.4 feet.
distance traveled downward + distance traveled upward = total distance of location.
198 + 22.4 feet = 220.4 feet
