Answer:
1:8
Step-by-step explanation:
First, you must find the scale factor. Because you are given the area of the base, you must take the square root of 49 and 196. That leaves you with 7:14, and that simplifies to 1:2. To find the ratio of the volumes, you must cube both. That leaves you with a 1:8 ratio.
Find the distance from A to C across the gorge illustrated in the figure
Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.
What is Tangent Ratio?The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.
Given the following:
∅ = 25°Adjacent length = 130 ftOpposite length = ACApply the tangent ratio:
tan 25 = AC/130
AC = (130)(tan 25)
AC = 60.6 ft
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which 2 numbers multiply to give 120 and add to give 2
Answer:
-12 and 10
Step-by-step explanation:
sorry if it's wrong
please help!!!!
simplify the rational expression. state any restrictions on the variable.
t^2+2t-24/t^2-36
Answer: hope this helps! :)
t - 4
—————
t - 6
Step-by-step explanation:
t2 + 2t - 24
Simplify ————————————
t2 - 36
Trying to factor by splitting the middle term
Factoring t2 + 2t - 24
The first term is, t2 its coefficient is 1 .
The middle term is, +2t its coefficient is 2 .
The last term, "the constant", is -24
Multiply the coefficient of the first term by the constant 1 • -24 = -24
Find two factors of -24 whose sum equals the coefficient of the middle term, which is 2 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2 That's it
Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 6
t2 - 4t + 6t - 24
Add up the first 2 terms, pulling out like factors :
t • (t-4)
Add up the last 2 terms, pulling out common factors :
6 • (t-4)
Step-5 : Add up the four terms of step 4 :
(t+6) • (t-4)
Which is the desired factorization
Trying to factor as a Difference of Squares :
1.2 Factoring: t2-36
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 36 is the square of 6
Check : t2 is the square of t1
Factorization is : (t + 6) • (t - 6)
Canceling Out :
Cancel out (t + 6) which appears on both sides of the fraction line.
Answer:
t⁴ + t³ - 36t - 24Step-by-step explanation:
Given :
t² + 2t - 24/t² - 36Solving :
Multiply throughout with t² so the polynomial is easier to simplifyt² (t² + 2t - 24/t² - 36)t⁴ + t³ - 24 - 36t²t⁴ + t³ - 36t - 24Needed Right now Worth 50 points
a = The cost of the pizza.
b = The cost of the pizza and sales tax.
f(a) = The cost of the pizza.
g(b) = The cost of the pizza and sales tax.
g(f(a)) = The cost of the pizza, sales tax, and delivery fee
In circle G with m \angle FGH= 86m∠FGH=86 and FG=16FG=16 units, find the length of arc FH. Round to the nearest hundredth.
The length of arc FH in the circle 8.37 units.
What is circle?In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.
Here,
To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:
m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees
Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:
m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees
To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:
r = FG/2 = 16/2 = 8 units
The circumference of the circle is then:
C = 2πr = 2π(8) = 16π
To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:
Length of arc FH = (188/360) × C
Substituting the value of C, we get:
Length of arc FH = (188/360) × 16π
Simplifying and rounding to the nearest hundredth, we get:
Length of arc FH ≈ 8.37 units
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Answer:
FH=24.02
Step-by-step explanation: trust me
What is the slope of the line?
Answer:
1/4
Step-by-step explanation:
The slope of a line is rise over run. We can see here rise is 1 and run is 4. 1 over 4 = 1/4.
The area of the triangle 5yd 16yd 12yd
The heat Q required to raise the temperature of water varies jointly as the mass m of the water and the amount of temperature change T, and Q=20930 joules (J) when m=1kg and T=5 degrees C. Find m when Q=8372 J and T=10 degrees C
Answer:
m = 0.2 kg.
Step-by-step explanation:
Joint variation:
Q = kmT where k is a constant.
Subsituting the given values:
20930 = k*1*5
k = 20930 / 5 = 4186.
So the relation is:
Q = 4186mT
When Q = 8372 and T = 10:
8372 = 4186 * m * 10
m = 8372 / (4186*10)
m = 0.2 kg.
how are corresponding sides related in similar triangles??
Answer:
In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs. When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number
How to find the height of a cube
Answer:
Height of a cuboid given its volume and base area = Volume/Base Area :)
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WILL GET BRAINIEST!!!! I-ready!!! PLEASE HELP!!!
Answer:
i am not sure but i think it is 280
ok, A movie theater has a seating capacity of 277. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales were $ 2002, How many children, students, and adults attended?
__ children attended.
__ students attended.
__ adults attended. brainliest for it
Using a system of equations, it is found that:
126 children attended.88 students attended.63 adults attended.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of children that attended.Variable y: Number of students that attended.Variable z: Number of adults that attended.The theater was full, hence:
x + y + z = 277.
There are half as many adults as there are children, hence:
x = 2z.
The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. The total ticket sales were of $2002, hence:
5x + 7y + 12z = 2002.
Replacing the second equation into the other two:
y + 3z = 277 -> y = 277 - 3z
7y + 22z = 2002.
Then:
7(277 - 3z) + 22z = 2002
z = 63
y = 277 - 3z = 277 - 3 x 63 = 88
x = 2z = 2 x 63 = 126.
Hence:
126 children attended.88 students attended.63 adults attended.More can be learned about a system of equations at https://brainly.com/question/24342899
Number of elements in a set
I = (factors of 12
Answer:
1,2,3,4,5,6, 12
Step-by-step explanation:
because each of those divides 12
Will someone pls mind helping me with these math problems ill mean a lot to me or at least just look at it
The equation that represents the number of T-shirt , number of colours of shirt and total order is 3x + 50xy.
The number of colours and T- shirts are the variable quantity while the cost of order is the fixed quantity.
How to represent an equation ?The number of members in the school choir = 75
The charge for one shirt = $3
Let the number of T-shirts ordered be x
Cost of ordering x shirts = 3x
Therefore,
Charge for each colour to be printed = $50
Let the number of colours to be printed on each T- shirt be represented by y
Therefore,
Cost of printing y colours on each T- shirt = 50y
Cost of printing y colours on x number of T-shirts = x(50y) = 50xy
Hence, the equation that represents the number of T-shirt , number of colours of shirt and total order is as follows:
Total cost = 3x + 50xy
Hence, the fixed quantity and variable quantity are as follows:
The number of colours on the shirts is a variable quantity
The number of shirts ordered is a variable quantity
The cost of order is fixed quantity
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What is the sum of 5.2 x 108 and 2.3 x 108?
Answer: 7.5 × 10⁸
Step-by-step explanation:
They are both rairaised to power of 8, so you can add 5.2 and 2.3
quick!!!! what do you call a sleeping bull. its geometry math homework 7th grade.
What is the quotient for the expression 2,314 divided by 4
Answer:
578.5
Step-by-step explanation:
Can someone please help me
Answer:
x = 0.71; y = 2.43
Step-by-step explanation:
y = 2x + 1
y = 9x - 4
9x - 4 = 2x + 1
7x = 5
x = 5/7
y = 2x + 1
y = 2(5/7) + 7/7
y = 10/7 + 7/7
y = 17/7
x = 0.71; y = 2.43
Find the volume of a cone with a base with an area of 43 mm² and a height of 17 mm. Round your answer to the nearest tenth.
Identify the slope and y-intercept of each of the following lines. Then graph each line.
6x + 2y = 12
attached graph
I am confused...
Answer:
y=6−3x
y=mx+b
y=−3x+6
Find the values of m and b using the form y=mx+b.
m=−3
b=6
Graph the line using the slope and the y-intercept, or the points.
Slope: −3
y-intercept: (0,6)
x, y
0,6
2,0
Step-by-step explanation:
hope this helps
Answer:
Below!
Step-by-step explanation:
The provided equation is in standard form. To convert it to slope intercept form, we need to have the y-variable isolated (as much as possible) on the L.H.S. Let's start the process by subtracting 6x both sides. This will isolate the y-variable and the cooeficient of the y-variable.
⇒ 6x + 2y = 12⇒ 6x - 6x + 2y = 12 - 6x⇒ 2y = 12 - 6xTo further isolate the "y" variable, let's divide 2 both sides. This will isolate the cooeficient of the y-variable. Once the cooeficient of the y-variable is fully isolated, we simply need to simplify the R.H.S (If needed). Then, the equation obtained is in slope intercept form.
⇒ 2y/2 = 12/2 - 6x/2⇒ y = 12/2 - 6x/2LIkewise, since the R.H.S can be simplified, let's simplify the R.H.S. The equation we obtained for now is in slope intercept form, but the simplified equation would help us to graph the line.
⇒ y = 12/2 - 6x/2⇒ y = 6 - 3xWhen we look at the slope intercept form formula (y = mx + b), we can see that "6" and "3x" needs to be switched.
⇒ y = -3x + 6 (Slope intercept form)Finally, lets plot the line on the graph. To plot the line on the graph, we need to determine the x-intercept and the y-intercept.
y-intercept: (0, 6)The x-intercept is the R.H.S of the equation we obtained. Keep in mind that the "y" variable will be 0.
⇒ -3x + 6 = 0Once we found the solution, we will determine two points of the line and lastly, we will plot the line on the graph.
⇒ -3x + 6 - 6 = 0 - 6⇒ -3x = -6⇒ -3x/-3 = -6/-3⇒ x = 2Thus, we obtained the following points:
x-intercept = 2 ⇒ Point obtained: (2, 0)y-intercept = 6 ⇒ Point obtained: (0, 6)→ Then, plot these points on the graph. Remember, x coordinate first.
→ Finally, we can draw a line through these points.
And we are done!
Graph:brainliest if right please
Answer:
yes
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
a^2+b^2=c^2
The sides are greater than the longest side, so that is right but
81+144 should equal c^2 or 18^2, but it is not equal to it.
A clerk earns $125 per day, plus a commission equal to
10% of her sales, s. The clerk earns less than $180 on
Monday
Enter an inequality that represents all possible values for
the clerk's sales, s, on Monday.
The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.
The total commission on her sales s = 10% x s
= 0.1s
The total money earn on monday = 0.1s + 125
The inequality represents all possible values for the clerk's sales, s, on Monday.
The clerk earns less than $180 on Monday.
0.1s + 125 < 180
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solve for x:
x/9 − 5 = 5
x=
Answer: 90
Step-by-step explanation:
10 - 5 = 5 and 90/9 = 10 so x is 90
Could Someone help me with this-
No pasting links,No blabbering just to get the points.
Answer:
Volume = 90in^3
Step-by-step explanation:
V = 3in x 15in x 2in = 90in^3
Answer:
[tex]\boxed{\sf{90in^3}}[/tex]Step-by-step explanation:
The volume of the prism must be found in order to solve this problem.
GIVEN:
[tex]\Longrightarrow: \sf{V=L*W*H}[/tex]
[tex]\Longrightarrow: \text{LENGTH: = 3}\\\\\Longrightarrow: \text{WIDTH: = 15}\\\\\Longrightarrow: \text{HEIGHT: = 2}[/tex]
SOLUTION:
Multiply.
[tex]\sf{3\ in*15\ in*2\ in=\boxed{\sf{90\ in^3}}[/tex]
Therefore, the volume of the prism is 90in³, which is our answer.I hope this helps. Let me know if you have any questions.
Find the measure of angle s?
45•
90•
30•
15•
Answer:
∠ S = 15°
Step-by-step explanation:
the secant- secant angle S is half the difference of the measures of the intercepted arcs, then
∠ S = [tex]\frac{1}{2}[/tex] (AC - EN) = [tex]\frac{1}{2}[/tex] (60 - 30)° = [tex]\frac{1}{2}[/tex] × 30° = 15°
Answer:
15°
Step-by-step explanation:
Alyssa buys cheese and apples at the store.
• She pays a total of $58.61.
She pays a total of $3.09 for the cheese.
She buys 8 bags of apples that each cost the same amount.
How much does each bag of apples cost?
Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)
A. $1.57 per pen
B. $15.67 per pen
C. $15.67 pens per dollar
D. $1.57 pens per dollar
Answer:
c
Step-by-step explanation:
Which measure does not change when a wave moves from one medium to another?(1 point)
Answer:
The frequency and phase.
Step-by-step explanation:
The medium has no effect on the frequence or the phase.
Edgar has $30 in an account that earns 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years?
Answer:
Total Interest = $3.08
Step-by-step explanation:
A = P (1 + r/n)^(nt)
A = 30(1+.05/1)^(1*2)
A = 33.08
We want to find interest only so subtract principal amount from total value
33.08-30 = 3.08
Total Interest = $3.08
Total Value = $33.08
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Which scatter plot best represents a linear association between y and x ?
Answer:
D
Step-by-step explanation:
it looks more like a line.
A is exponential
B is a parabola
C is no association