Answer:
a = 5
b = 2
Step-by-step explanation:
You can use system of equations on this.
out of 25 students, 15 students are girls. what is the ratio of boys and girls? a: 3:5 b: 2:5 c: 2:3
Answer:
Answer: C 2:3
Step-by-step explanation:
total students = 25
total girls = 15
total boys = 25-15 = 10
boys:girls = 10:15
divide by 5 to get 2:3
Pls help me I think that it is reciprocal trigonometric ratios
Answer:
67.38 degrees
Step-by-step explanation:
this is a right triangle so we can use sohcahtoa
we want to calculate angle A
we know the side opposite to A as well as the hypotenuse. 13 is the hypotenuse because it is opposite the right angle
thus, sin(A) = opposite/hypotenuse = 12/13
arcsin(12/13) = A ≈ 67.38 degrees
Suppose you fill up a cone-shaped cup with water. you then pour the water into a cylindrical cup with the same radius. both cups have a height of 6 inches. without doing any calculation, determine how high the water level will be in the cylindrical cup once all of the water is poured into it. explain your reasoning.
Step-by-step explanation:
i don’t understand how this question
Answer:
x = √51
Step-by-step explanation:
The given figure is a right triangle.
Using the Pythagorean Theorem to find x
(Altitude 1)² + (Altitude 2)² = (Hypotenuse)²(7)² + x² = (10)²49 + x² = 100x² = 51x = √51Greg can eat an entire large (18-inch) pizza by himself and believes that if his partner can eat the same amount, they should be able to eat a 36-inch pizza. Explain why you agree or disagree.
Answer:
Yes if Greg and his partner can both eat 18 inch pizza then together they can eat a 36 inch pizza
Step-by-step explanation:
18+18=36
x(36) is greater then or equal to 36 making this equation true
HELPPP pls pls pls tyty
Answer:
A=72CM^2
Step-by-step explanation:
The answer is 72cm^2 because the area of a triangle is h x b divided by two because the triangle is half of a square, since the square is side times side, the answer is 12x12 divided by two, wich is 144/2. The final answer is 72
Answer:
72
Step-by-step explanation:
area of a triangle = 1/2 × base length × height
base length = 12 and height = 12
so area = 1/2 × 12 × 12
==> multiply 12 by 12
area = 1/2 × 144
==> divide 144 by 2
area = 72
Taylor buys dog food in bulk at the cost of $1.27 a pound. If he buys $107.95 of dog food, how many pounds will
he be buying?
Answer: 85 lbs
Step-by-step explanation:
$107.95 / $1.27 = 85 pounds of dog food
Dr. Patel plots points J, K, and L in the coordinate plane.
a. What is the distance between points J and K? Show
your work.
The distance between J(-5, -3) and K(1, 5) on the coordinate plane is about 10 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Point J is at (-5, -3) while point K is at (1, 5), hence:
[tex]JK=\sqrt{(5-(-3))^2+(1- (-5))^2} =10\ units[/tex]
The distance between J(-5, -3) and K(1, 5) on the coordinate plane is about 10 units.
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Find the surface area of the rectangular prism.
4 km
5 km
2 km
What is the perimeter of the smaller triangle?
Answer:
14 mm
Step-by-step explanation:
Just as the little side is 1/4 of the larger side , so is the perimeter
1/4 * 56 = 14 mm
(−1)^nx^n/ cubicroot n find the radius of convergence
The radius of Convergence for the function [tex]\frac{\[(-1)^{n} \; x^{n} }{\sqrt[3]{n} }[/tex] is 1.
What is radius of convergence?The radius of the largest disk at the center of the series in which the series converges.
Perform the ratio test for absolute convergence, which says
if [tex]\lim_{n \to \infty} \frac{a_{n}}{a_{n+1}}[/tex] =L
Then,
1) if L<1, the series is absolutely convergent
2) If L>1, the series is divergent
3) If L= 1, apply a different test.
Now, Applying test
[tex]a_{n+1}[/tex] =[tex]\frac{(-1)^{{n+1} } \; x^{n+1}}{\sqrt[3]{n+1} }[/tex]
So,
[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_{n}}[/tex] = [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}/\sqrt[3]{n+1} }{ (-1)^{n} \; x^{n} /\sqrt[3]{n} } |[/tex]
= [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}\sqrt[3]{n}}{ (-1)^{n} \; x^{n} \sqrt[3]{n+1} } |[/tex]
= [tex]\lim_{n \to \infty}|\frac{ (-1) \; x^{n}\sqrt[3]{n}}{ \sqrt[3]{n+1} } |[/tex]
= [tex]\lim_{n \to \infty}\sqrt[3]{\frac{1}{1+\frac{1}{n}} } } |x|[/tex]
Applying the limit n→∞,
= 1 x |x|
= |x|
By ratio test, the given series will be convergent if |x|< 1.
So, the radius of Convergence = 1
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A triangle has an area of 14 square units. Its height is 7 units. What is the length of its base
Answer:
4 units
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
given A = 14 and h = 7 , then
[tex]\frac{1}{2}[/tex] × 7b = 14 ( multiply both sides by 2 to clear the fraction )
7b = 28 ( divide both sides by 7 )
b = 4 units
A regular pentagonal prism has a volume of 2,850 cubic millimeters. What is the height of the prism
The expression that represents the height of the prism is 2850/b where b is the base area
How to determine the height?The given parameter is:
Volume = 2850
Let the height of the prism be h, and the base area be b.
The volume is calculated using:
V = bh
Make h the subject
h = V/b
Substitute V = 2850
h = 2850/b
Hence, the expression that represents the height of the prism is 2850/b
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If the perimeter is 142 feet, find the value of x
Answer:
x = 35.5
Step-by-step explanation:
assuming all sides are equal (a square),
4x = 142
4x / 4 = 142 / 4
x = 35.5
If a cone had a volume of 3 pi and a radius of 1 then what is the height
Answer:
it would be around 9 or something, im estimating.
Step-by-step explanation:
pls help asap thanj u so much
Please help. What is the equation of the line in slope-intercept form?
Answer:
Ray, you need the slope-intercept formula y=mx+b
Step-by-step explanation:
Next you'll need 2 points, any points are fine. Just find two easy ones along the line. I'll just pick Point 1 as P1 = ( 0,4) and point 2 as P2 = (4,0) because they are easy to work with.
next use
point P1 (0,4) in the form (x1,y1)
point P2(4,0) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (0-4) / (4-0)
m = -4 / 4
m = -1
now use the point slope with one of the points, to find the slope-intercept form.
y - y1 = m(x -x1)
y - 4 = -1(x-0)
y -4 = -x
y = -x + 4
note:
y = mx +b
y = (-1)x + b is the form. see?
Answer:
y = mx + b
m = slope
b = intercept
From the graphic:
(x₁, y₁) = (0, 4)
(x₂, y₂) = (4, 0)
[tex]\frac{y-y_{1} }{y_{2} -y_{1} } =\frac{x-x_{1} }{x_{2} -x_{1} } \\\\\frac{y-4 }{0 -4} =\frac{x-0 }{4 -0 } \\\\\frac{y-4}{-4} =\frac{x}{4} \\\\(y-4)4=-4x\\\\y-4=-x\\y=-x+4\\[/tex]
I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answer:
101°
Step-by-step explanation:
The angles BEA and BED are a linear pair. They total 180°. (They are supplementary.)
__
∠BEA +∠BED = 180° . . . angles of a linear pair are supplementary
79° +∠BED = 180° . . . . use the given angle value
∠BED = 101° . . . . . . . . . subtract 79°
if a coin is tossed and a number cube is rolled, what is the probability of getting tails and 1
Answer:
1/12
Step-by-step explanation:
probability of tails is 1/2
probability of 1 out of 6 is 1/6
so 1/2 x 1/6 = 1/12
what is the constant of proportionality in the equation 3y=2x
Answer :The constant of proportionality is K = 2/3
Write the standard form of the equation of the parabola with the given focus or directrix and
vertex (0, 0).
focus: (5, 0)
Answer:
x = 1/20 y^2
Step-by-step explanation:
This is a rightward opening (sideways ) parabola
Directrix = x = -5
Distance formula form point x,y to directrix and focus are equal:
(x - -5)^2 = (x-5)^2 + y^2
x^2 + 10x + 25 = x^2 - 10x + 25 + y^2
20x = y^2
x = 1/20 y^2
Let x^2+ 6x = 5
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x² +6x+ ____=_____
Answer:
9
Step-by-step explanation:
For the equation x² - 6x = 5 the coefficient of the term x is -6
(-6/2)2 = 9
The given equation can be written as
x2 - 6x + 9 = 5 + 9
x2 - 6x + 9 = 14
We can write it as
(x - 3)2 = 14
Take square root on both sides.
|x - 3| = √14
We get
x = 3 + √14
In other case,
- x + 3 = √14
x = 3 - √14
Therefore, 9 should be added to both sides of the equation to complete the square (x2 - 6x = 5).
What number should be added to both sides of the equation to complete the square (x2 - 6x = 5)?
Summary:
The number that should be added to both sides of the equation to complete the square (x2 - 6x = 5) is 9.
Quadrilateral abcd has vertices A(4,0),B(3,3),C(-3,1) and D(-2,-2)
Answer:
very easy
Step-by-step explanation:
First of all
made a distance between
AB
BC
CD
AD
and diagnals
AC
BD
If the all are equal means it is a square
if diagnols are different means it is rectangle
if diagnals are not equal means it is parallelogram
thats it try your best
you can do it
best of luck
Find the percent change from the first value to the second 50;30
Answer:
-40%
Step-by-step explanation:
NV = new value
OV = old value
percent change = (NV - OV)/(OV) × 100%
percent change = (30 - 50)/(50) × 100%
percent change = -20/50 × 100%
percent change = -40%
guys pls help me,I don't know how to answer this. :(((
Answer:
Vol_prism = 48 (all answers should have the units cm^3)
Vol_pyramid = 25
Vol_cyl = 37.68
Vol_cone = 12.56
Vol_sphere = 113.04
Step-by-step explanation:
This was a very compact problem (5 problems!) You read the chart top to bottom and each column is a different problem.
Vol of a prism:
V = l×w×h = 4×4×3
= 48 cm^3
Vol of a pyramid:
V = 1/3Base•h
= 1/3 (5×5)•3
= 25 cm^3
Vol of a cylinder:
V = pi•r^2•h
= pi•2^2•3
= pi•4•3
= 12pi = 12(3.14)
= 37.68 cm^3
Vol of cone:
= 1/3pi•r^2•h
= 1/3pi•2^2•3
= 4pi = 4(3.14)
= 12.56 cm^3
Vol of a sphere:
V = 4/3pi•r^3
= 4/3 pi•3^3
= 4/3 pi•27
= 36pi = 36(3.14)
= 113.04 cm^3
Pheewwwww! That was a lot! Hopefully you are just reviewing all your volume formulas. Hope this helps!
** GIVING BRAINLIEST!! **
Problem 2
Kayla has a goal to hike at least 75 miles. She has
already hiked 20 miles.
She plans to hike n miles each week for the next 6
weeks.
Which inequality describes the nuinber of miles Kayla
should hike each week to meet her goal?
20 + 6n < 75
20 - 6n < 75
20 + 6n > 75
20 - 6n > 75
( the signs are supposed to have the line underneath it )
Answer:
20 + 6n > 75(the sign has an underline)
To determine how many miles Kayla needs to hike each week for the next 6 weeks to reach her goal of at least 75 miles, we can subtract the miles she has already hiked from her target goal and divide it by the number of weeks remaining.
Target goal - Miles already hiked = Miles remaining
75 miles - 20 miles = 55 miles remaining
Now, we divide the remaining miles by the number of weeks:
55 miles / 6 weeks = 9.17 miles per week (approximately)
Therefore, Kayla needs to hike approximately 9.17 miles each week for the next 6 weeks in order to reach her goal of at least 75 miles.
Solve by using substitution. Express your answer as an ordered pair. 2x+y=-5 y=x+4
Test tomorrow and I need this to make sense please
x=-4
Step-by-step explanation:
see the picture for full solution
A piece of rope is 54 inches long. It is cut into pieces that are each 9 inches long.
How many pieces of rope are there?
plsss I'm at a f
Answer:
6 pieces of rope
Step-by-step explanation:
if the total is 54 and each are 9 you can make an equation
54= 9 x a
solve for a
to do this you divide 54 by 9
54/9=6
Answer:
6 pieces of rope
Step-by-step explanation:
54/9
Why should the writer of this sample paragraph revise words such as fun, happy, and sad? writers should avoid controversial emotions. writers should avoid vague or nonspecific words. writers should focus on their intended topic. writers should avoid sharing personal opinions.
The sentences here are all simple sentences and all begin with the same word.
Why should the paragraph be revised?A paragraph is used to show a complete thought. It is important that a paragraph ought to be presented in complete sentences. However the sentences here are all simple sentences and all begin with the same word.
The reasons pointed out above makes the paragraph appear clumsy and boring to read. The writer should revise the paragraph and introduce a more complex sentence structure as well as the use of pronouns where neccessary.
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Answer:
B
Step-by-step explanation:
edge 22
