Answer:
42, 56, 70
Step-by-step explanation:
A right triangle must always have a ratio of side lengths that allow it to connect fully.
The total surface area of a cube is 433.5 cm2.
Find its volume.
Answer:
Step-by-step explanation:
The area of 1 face is s^2
The area of 6 faces is 6s^2
6s^2 = 433.5 Divide by 6
s^2 = 433.5 / 6
s^2 = 72.25 Take the square root of both sides
sqrt(s^2) = sqrt(72.25)
s = 8.5
Normally you would find the volume of parallelepiped by using L * W * H
Since L W and H are all equal in a cube, the volume = s^3
S^3 = 8.5^3 = 614.125
Convert 32 km to decimetres fill in the blanks. Please show your work and show where it goes.
Answer:
320,000 dm
Step-by-step explanation:
A decimetre is equivalent to 10 cm or [tex]\frac{1}{10}[/tex]m. We can use this to work out the answer.
1km is equal to 1,000m or 10,000dm (using the second option above).
This means for 32km, it should be 32×10,000dm.
This gives 320,000 dm.
I'm unsure of where you need to fill in on the worksheet, but this should help.
**This content involves converting measurement units, which oyu may wish to revise. I'm always happy to help!
(x+5)²=32
find the solution
justify answer
Answer:
x = -5 ±4sqrt(2)
Step-by-step explanation:
(x+5)²=32
Take the square root of each side
Sqrt((x+5)²)=±sqrt(32)
x+5 = ±sqrt(16*2)
x+5 = ±4sqrt(2)
Subtract 5 from each side
x+5-5 = -5 ±4sqrt(2)
x = -5 ±4sqrt(2)
The reflector of a satellite dish is in the shape of a parabola with a diameter of 4 feet and a depth of 2 feet. To get the maximum reception we need to place the antenna at the focus. a. Write the equation of the parabola of the cross section of the dish, placing the vertex of the parabola at the origin. Convert the equation into standard form, if necessary. What is the defining feature of the equation that tells us it is a parabola
Answer:
[tex]x^2 = 2y[/tex] --- equation
[tex](x,y) = (0,\frac{1}{2})[/tex] --- focus
[tex]y = -\frac{1}{2}[/tex] --- directrix
[tex]Width = 2[/tex] ---- focal width
Step-by-step explanation:
Given
[tex]depth = 2[/tex]
[tex]diameter = 4[/tex]
Required
The equation of parabola
The depth represents the y-axis. So:
[tex]y = 2[/tex]
The diameter represents how the parabola is evenly distributed across the x-axis.
We have:
[tex]diameter = 4[/tex]
-2 to 2 is 4 units.
So:
[tex]x = [-2,2][/tex]
So, the coordinates of the parabola is:
[tex](-2,2)\ and\ (2,2)[/tex]
The equation of the parabola is calculated using:
[tex]x^2 = 4py[/tex]
Substitute (-2,2) for (x,y)
[tex](-2)^2 = 4p*2[/tex]
[tex]4 = 8p[/tex]
Divide by 8
[tex]p = \frac{4}{8}[/tex]
[tex]p = \frac{1}{2}[/tex]
So, the equation is:
[tex]x^2 = 4py[/tex]
[tex]x^2 = 4 * \frac{1}{2} * y[/tex]
[tex]x^2 = 2y[/tex]
The defining features
(a) Focus
The focus is located at:
[tex](x,y) = (0,p)[/tex]
[tex](x,y) = (0,\frac{1}{2})[/tex]
(b) Directrix (y)
[tex]y = -p[/tex]
[tex]y = -\frac{1}{2}[/tex]
(c) Focal width
[tex]Width = 4p[/tex]
[tex]Width = 4*\frac{1}{2}[/tex]
[tex]Width = 2[/tex]
Is Q the midpoint of line segment PR? Justify your answer with numbers and words.
Answer:
[tex]5x+8x+10-3=72\\13x=65\\x=5\\reapplying\\5(x+2)=5*7=35\neq (\frac{72}{2}=36 )[/tex]
No it's not the Midpoint
help solving inequalities true or false (middle school) first person to answer i’ll give brainliest please!!!
Answer:
aef true and bcd false
hope u get well in your exams
Step-by-step explanation:
What is the domain of the function?
O x>-2
O x > 0
O x < 2
all real numbers
Answer: x > -2, which is choice A
Notice that there's a vertical asymptote at x = -2. Think of it like an electric fence. You can get closer to it, but you can't touch it.
The domain is the set of all allowed inputs of a function.
What is the slope of a line that goes through the points (1, -5) and (-3, 2)?
- 7/4
- 4/7
- 3/4
- 4/3
Answer:
-7/4
Step-by-step explanation:
change in y over (/) change in x
or
f(b) - f(a) over (/) b - a
= 2-(-5) / -3-1
= 2+5 / -3-1
= 7 / -4
Please help me out I really need theese answers
Answer:
b
Step-by-step explanation:
NASA launches a rocket at t=0 seconds. Its height, in meters above sea level, as a function of time is given
by h(t) = - 4.91? + 82t + 241.
And follow me
Solve for x in the equation
Answer:
[tex] {x}^{2} + 2x + 1 = 17 \\ {x}^{2} + 2x - 16 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 2± \sqrt{68} }{2} \\ x = \frac{ - 2±2 \sqrt{17} }{2 } \\ x = - 1± \sqrt{17} [/tex]
help pls.preparing for my term exam
Jackie is making flower arrangements. She has 2 roses and 4 daisies. If Jackie
wants to make all the arrangements identical and have no flowers left over, what
is the greatest number of flower arrangements she can make?
pls help <3
Answer:
2
Step-by-step explanation:
she will have 2 arangments of one rose and two daisies.
Answer:
2
Step-by-step explanation:
group off the daisies and rose
2 Rose's
4 raises
in order to make it identical
group 1 consist of ( 1 rose and 2 daisies)
group 2 consist of (1 rose and 2 daises)
only 2 bouquets
If d(x) = x2 - 7x - 7, find d(x - 1).
Answer: x^2-9x+1
Step-by-step explanation:
x^2-7x-7 d(x-1)
(you would just replace x to (x-1)
(x-1)^2-7(x-1)-7
(solve by square rooting (x-1)(x-1) then foil)
x^2-9x+1
The four small circles are identical. The total area of the small circles is pi square inches. What is area of the larger circle? Write your answer in terms of $\pi pi. A circle with four small circles inside of it. The diameter of each of the small circles is one fourth the diameter of the circle.
Answer
you can look this up on the web
Step-by-step explanation:
Find the equation of a line that passes through the point (3,5) and has a gradient of 2.
Leave your answer in the form
y=mx+c
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (3, 5) into the partial equation
5 = 6 + c ⇒ c = 5 - 6 = - 1
y = 2x - 1 ← equation of line
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex]secA = \frac{65}{63}[/tex]
Step-by-step explanation:
[tex]cosec A = \frac{65}{16}\\\\sin A = \frac{1}{cosecA} = \frac{16}{65}\\\\cos^2 A = 1 - sin^2 A[/tex]
[tex]= 1 - (\frac{16}{65})^2\\\\=\frac{4225-256}{4225}\\\\=\frac{3969}{4225}\\[/tex]
[tex]cos A = \sqrt{\frac{3696}{4225}} = \frac{63}{65}[/tex]
[tex]secA = \frac{1}{cosA} = \frac{65}{63}[/tex]
How many marble do you need to balance to scale
A. 4
B. 3
C. 2
D. 1
Answer: its B.
Step-by-step explanation:
have a good day hope this help
Answer:
B.3
Step-by-step explanation:
just divide 6 by 2
Use long division to find the quotient below. (6x^3 - 29x^2 + 32x-14) ÷(2x-7)
Answer:
3x^2-4x+2
Step-by-step explanation:
Just took it
Trust me
15 point question!
Hi can you help? Thanks! *if you are gonna answer, actually answer please!*
Brainly if you get it right!
Answer:
The answer is 129
Step-by-step explanation:
5(exponent 4)/5 = 125 +4 equals 129
I think
Answer:
129
Step-by-step explanation:
5^4 / 5 + 4
We know that a^b / a^c = a^(b-c)
5^(4-1) +5
5^3 +4
125 +4
129
What is the distance AB rounded to the nearest tenth?
Answer:
2.80
Step-by-step explanation:
Seeing that your scale is 1cm to 1unit to on both axes
If you add a point C then draw lines connecting them it should look like the diagram above
But the distance between A to C and B to C are both 2 cm
Giving you a right angled triangle
So using the Pythagoras theorem
AB²=AC²+BC²
AB²=2²+2²
AB²=4+4
AB²=8
Take square root of both sides
√AB²=√8
AB= 2.828
To the nearest tenth that will be
AB=2.80
Can’t figure this one out
subtract 8x-8y+9 from 5x-8y-z
A-container holds 6 cups of yogurt the nutrion label reads that a serving size is 1/3 cups how many servings are in the cointaner
Answer:
1/3 = 1 serving
2/3 =2 servings
1 cup= 3 servings
so if one cup is 3 servings we can multiply 3 x 6 for an answer of 18 servings
Eddie bought 3 train tickets 17.00 each. If he paid with three $20 bills, how much change did Eddie receive?
Answer:
Step-by-step explanation:
Think of it as if he paid for each ticket with one $20 bill.
He gets $3 change from each one so his total change is $(
Gillian swears her computations for the
following equations prove they do not
intersect. Her brother who just finished
learning about intersecting lines told her they
definitely intersect because the slopes are
different. Gillian remembered that logic from
class and then decided she needed to be able
to prove intersection by using algebra.
Although there are multiple strategies, how
might she prove intersection without graphing
of the following equations?
4x +3y = 6 and 6x + 2y = 10
Step-by-step explanation:
Given
Two lines are [tex]4x+3y=6[/tex] and [tex]6x+2y=10[/tex]
Two lines [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex] will intersect when
[tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex]
for the given lines
[tex]a_1=4,a_2=6,b_1=3,b_2=2[/tex]
[tex]\therefore \dfrac{4}{6}\neq \dfrac{3}{2}\\\\\dfrac{2}{3}\neq\dfrac{3}{2}[/tex]
Hence, lines are intersecting
what is the probability of rolling a number that is greater than 4 on a number cube?
a.) 1/6
b.) 1/3
c.) 1/2
d.) 2/3
=========================================================
Explanation:
E = event space = {5,6}
The event space represents the set of all things we want to happen: namely rolling a 5 or a 6, since they are larger than 4.
S = sample space = {1,2,3,4,5,6}
The sample space is the set of all possible outcomes, whether we want them to happen or not. We have 6 possible outcomes.
Divide the number of items in each set
n(E) = 2
n(S) = 6
probability = n(E)/n(S) = 2/6 = 1/3
There's a 1 in 3 chance of rolling a number greater than 4.
Which value cannot represent the probability of an event occurring
Answer:
zero
Step-by-step explanation:
everything is theoretically possible
Angle measurements 110 degree help find out the balance at the top
Answer: 70 degrees because 180-110= 70. Hope this helps
Step-by-step explanation:
Can someone help me? It's urgent and thank you!
Answer:
35 or A
Step-by-step explanation:
This is a combinations problem because the order doesn't matter (it's a council, not like president and v.p.). C(7, 3) is 7!/(4!*3!) = 7*6*5/3*2 = 35. Hope this helps! :)
Angle Measurements 84 degree
Answer:
yes angle measures 84°as they are alternate angles