Answer:
23/42 or 0.547619048
Steps are given below in the picture
I hope my answer helps you.
15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answer:
x = 13√3
y = 13
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
In order to make the long sides match, we need to multiply these by 13:
1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26
Matching values, we find ...
x = 13√3
y = 13
b) x2 - 2x - 3
I need help with factorising :/
I know that answer
..............please mark as brainliest
You want to paint the four walls in your
bedroom. Each wall is 9
feet tall by 12 feet
wide. What is the total
area
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]
18, 6, 2, ...
Find the 7th term.
Answer:
2/81
Step-by-step explanation:
Firstly find out the common ratio.
And then the general term.
And at last you can find any term(7th term in this case).
The 7th term of the sequence will be 13122.
What is a geometric sequence? What is a expression? What is a mathematical equation?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. The nth term of the sequence will be a[n] = arⁿ ⁻ ¹.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have the following sequence -
18, 6, 2 ...
The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.
a[7] = 18 x 3⁶
a[7] = 18 x 9 x 9 x 9
a[7] = 13122
Therefore, the 7th term of the sequence will be 13122.
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The volume of a cone is 1,782 cubic centimeters. a cylinder has the same radius and height as the cone. what is the volume of the cylinder?
a.
3,564 cubic centimeters
b.
1,782 cubic centimeters
c.
594 cubic centimeters
d.
5,346 cubic centimeters
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
Learn more about volume of cylinder on:
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Answer:
Step-by-step explanation:
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?
Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
Learn more about volume of cylinder on:
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Please help me with this question
3 t-shirts and 2 hats cost £14
2 t-shirts and 7 hats cost £15
Find the cost of one t-shirt
Find the cost of one hat
Answer:
The cost of one T-shirt is £4
The cost of a hat is £1
Step-by-step explanation:
17. Instructions: Use the ratio of a 45-45-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answer:
u = v = 14
Step-by-step explanation:
The ratios of side lengths in a 45-45-90 triangle are ...
1 : 1 : √2
Here, the long side is 14√2, so is 14 times this basic ratio.
1 : 1 : √2 = u : v : 14√2 = 14 : 14 : 14√2
This means ...
u = v = 14
Answer:
Below in bold.
Step-by-step explanation:
The ratio of the sides in a 45-45-90 are 1:1:√2.
so V / 14√2 = 1 / √2
V = 14√2 / √2 = 14.
and U = V = 14 also.
Aaden has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs 40 points for a free movie ticket.
Write and solve an equation which can be used to determine xx, the number of visits Aaden must make to earn a free movie ticket.
Answer:
20/2.5 =? (Answer is 8)
Step-by-step explanation:
Aaden needs 40 points.
He gets 20 at the start, just for signing up, so he needs only 20 now.
If he gets 2.5 points for each visit, after 8 days he will have been given 20 more points, allowing him to get a free movie ticket.
Brainliest please?
What is the slope and y-Intercept of the equation on the graph?
Answer:
Slope: 3/2
Y-Intercept: 3
Step-by-step explanation:
The y-intercept is very easy to discover as it is just the Y coordinate when X is zero or "intercepts" the x axis. So if you look directly above the origin you see that the line has the point (0, 3).
The Y Intercept is 3
The slope is found using the slope formula of y2-y1/x2-x1
Lets take two points from the line. We have the (0, 3) point that I mentioned earlier and we can get the x-intercept of (-2, 0)
Lets Solve!
3- 0 = 3
0-(-2) = 2
3/2 is the slope
So the formula is Y = 3/2 + 3
What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answer:
48.5 ft
Step-by-step explanation:
Find the equation of the line.
Use exact numbers PLEASEEE
y = ___ x+ ___
Step-by-step explanation:
[tex]y = \frac{3}{4} x - 2[/tex]
is the required equation
I hope it helped you
Answer:
y = [tex]\frac{3}{4} x-2[/tex]
Step-by-step explanation:
y = mx + c
m = gradient= [tex]\frac{-5-(-2)}{-4-0}[/tex]= [tex]\frac{3}{4}[/tex]
c = y-intercept = -2
Please help with this question!!!
Of all the apartments in an apartment building, 20 percent are single bedroom apartments and 30 percent of the single bedroom apartments have balconies. If 28 single-bedroom apartments do not have balconies how many apartments are there in this apartment building?
Answer:
200
Step-by-step explanation:
Of the apartments in the building, 20% are singles and 70% of those do not have balconies.
That is, (0.20 × 0.70) = 0.14 of the building's apartments are singles without balconies. That is 28 apartments. If A is the number of apartments in the building, this means
0.14A = 28
A = 200 . . . . . divide by 0.14
There are 200 apartments in the building.
PLEASE HELP !!!!! I HAVE TO TURN THIS IN BY TOMORROW
Answer:
Step-by-step explanation:
Given the equation: y = 8 * 2ˣ, substitute the x-values in the table for x in your equation, to find the y-values.
For x = -1
[tex]y = 8 * 2^x\\y=8*2^{-3}\\y=8*\frac{1}{2^3} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{8}\\y=8*0.125\\y=1\\\\(-1,1)[/tex]
For -2:
[tex]y = 8 * 2^x\\y=8*2^{-2}\\y=8*\frac{1}{2^2} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{4}\\y=8*0.25\\y=2\\\\(-2,2)[/tex]
For -1:
[tex]y = 8 * 2^x\\y=8*2^{-1}\\y=8*\frac{1}{2^1} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{2}\\y=8*0.5\\y=4\\\\(-1,4)[/tex]
For 0:
[tex]y = 8 * 2^x\\y=8*2^0\\y=8*\frac{1}{2^2} < ==zero\ exponent\ property: x^0=1\\y=8*1\\y=8\\\\(0,8)[/tex]
For 1:
[tex]y = 8 * 2^x\\y=8*2^1\\y=8*2\\y=16\\\\(1,16)[/tex]
For 2:
[tex]y = 8 * 2^x\\y=8*2^2\\y=8*4\\y=32\\\\(2,32)[/tex]
For 3:
[tex]y = 8 * 2^x\\y=8*2^3\\y=8*8\\y=64\\\\(3,64)[/tex]
Hope this helps!
write the number in word form 4,651.93
Answer:
Four thousand six hundred fifty one point nine three
y’all please help!!! gradpoint & will give lotsss of points :((
Answer:
f(-8) = 64
Step-by-step explanation:
Given conditions :
f(x) = { x², if x < 0}or f(x) = {∛x, if x > 0}We have x = -8
⇒ It follows x < 0
Therefore, substituting x = -8 in the function :
f(-8) = (-8)²f(-8) = 64Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Start out by simplifying the distributive property on the left hand side.
[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Combine like terms on the left hand side.
[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
Simplify the left hand side.
[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]
Subtract 2 both sides.
[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]
[tex]\implies-10 =\dfrac{-5x}{4}[/tex]
Use cross multiplication.
[tex]\implies-10 \times 4 =-5x[/tex]
[tex]\implies-40 =-5x[/tex]
Divide -5 both sides.
[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]
[tex]\implies 8=x[/tex]
Thus, the value of x is 8.
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]
Multiply both sides by 3:
[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]
Multiply both sides by 4:
[tex]\implies -8(x+12)+8x=-15x+24[/tex]
Expand brackets:
[tex]\implies -8x-96+8x=-15x+24[/tex]
Combine like terms:
[tex]\implies -96=-15x+24[/tex]
Add 15x to both sides:
[tex]\implies 15x-96=24[/tex]
Add 96 to both sides:
[tex]\implies 15x=120[/tex]
Divide both sides by 15:
[tex]\implies x=8[/tex]
Please help asap.
I will give brainliest
Answer:
#1 20
#2 17
#3 14
#4 14
#5 12
#6 14
#7 10
#8. 20
#9. 20
Step-by-step explanation:
1 12+8=20
2 10+7=17
3 8+6=14
4 8+6=14
5 10+2=12
6. 8+6=14
7 4+6=10
8. 12+8=20
9 14+6=20
Now honey I can't do all your work for you im.not trying to be mean but work some.out heres a tip use a calculator to help you when you get stuck ask me your question and then I will hold you ok
i need help with #7 c and d
Answer:
c. 33.0%
d. 14.5%
Step-by-step explanation:
For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.
__
c.Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...
32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard
__
d.The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...
24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard
_____
Additional comment
a. 97/166 ≈ 58.4% surf
b. 89/166 ≈ 53.6% do not skateboard
__
This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with frequencies. Such tables can also display relative frequencies by dividing the entire table by the total of totals in the lower right corner.
Triangle Congruence, Flowchart Proof (Level1) _ 10th Grade - Int.1 (almost complete)
Answer:
Step-by-step explanation:
Select the correct answer.
an experiment observing the growth of two germ strand populations finds these patterns.
• the population of the first germ is represented by the function a(x) = (1. 3)+9
• the population of the second germ is represented by the function b(t) = (1. 3)45+1
which function best represents function r, the ratio of the population of the second germ to the population of the first germ?
Answer:
the
• the population of the first germ is represented by the function a(x) = (1. 3)+9
which equation shows how to find P the total amount of Alex's paycheck
Answer:
it's the last one, and the missing number is 70 (the P)
The expression that represents this scenario is 35/p = 70/100.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Alex has 70% of her weekly paycheck automatically deposited into a savings account.
This week $35 is deposited,
∴ The expression that represents this situation is 35/p = 70/100.
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50 7 x + 22 x=?
Please help
An employee at a veterinarian's office put
6.825 kilograms of cat food into serving
bowls. He put 0.065 kilogram into each
bowl.
How many bowls did the employee fill?
Answer:
105 Bowls
Step-by-step explanation:
6.825 ÷ 0.065 = 105 Bowls
4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?
Answer:
62.5 J
Step-by-step explanation:
Formula
Work = Force x Distance (Displacement)Given :
Force = 25 NDistance = 2.5 mSolving
Work = 25 x 2.5Work = 62.5 JThe work done with the given force and distance is 62.5 Newton meter.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Given that, force = 25 N weight and distance = 2.5 meters
We know that, work = Force×Distance
Here, work = 25×2.5
= 62.5 Newton meter
Therefore, the work done is 62.5 Newton meter.
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Are the ratios 2:4 and 3:6 equivalent?
Answer:
2:4 3:6 and 8:2, and 4:1 are equivalent pairs of ratios.
2 : 4 and 3 : 6 are an equivalent pair of ratios.
( to find equivalent ratios just multiply or divide both quantities by the same number. )
AABC and AXYZ are similar. Find the missing side length.
B
Y
14
28
A
2
4
А
?
C
X
3
Z
(The triangles are not drawn to scale.)
Answer:
21
Step-by-step explanation:
You can tell that AB=2x7
BC=4x7
So, you're increasing each by multiplying each by 7.
3x7=21.
Find the equation of a line parallel to y + 9 = -3/2x that passes through the point (-8,9)
Moesha needs $79 for a class trip.
She alreadv has s22 and she can earn
the rest by babysitting for 8 hours.
If h represents her hourly earnings,
which of the following equations can
be solved to find Moesha's hourly
earnings? Select all that apply. Answer : 79=22+8H
Answer:
79-22=57.
Your answer is correct. You also have to fill in the second one (B)
Answer:
79-22=57
Step-by-step explanation:
I can explain on phone
Need this please, asap
Answer:
2√13
Step-by-step explanation:
15-9 to find a^2, 4 is b^2, and then pythagorean thereoum, a^2+b^2=c^2.
Answer:
Step-by-step explanation:
The base of the triangle used to solve for x (Pythagorean Theorem) is 15 - 9 = 7
The height of the right triangle is 4 so now you have enought to solve for x
Givens
a = 7
b = 4
c = x
Equation
x^2 = b^2 + a^2
Solution
x^2 = 7^2 + 4^2
x^2 = 49 + 16
x^2 = 65 Take the square root of both sides
√x^2 = √65
Answer x = √65