Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90 triangle the ratio of sides, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2
you can set up a proportion like this to solve for 'x':
[tex]\sqrt{3}[/tex] / 1 = 15 / x
cross-multiply:
[tex]\sqrt{3}[/tex]x = 15
x = 15/[tex]\sqrt{3}[/tex]
rationalize the denominator by multiply top and bottom by [tex]\sqrt{3}[/tex]
you get 15[tex]\sqrt{3}[/tex] ÷ 3 which is 5[tex]\sqrt{3}[/tex]
What is the volume of this rectangular prism?
Answer:
1cm³
Step-by-step explanation:
You do not need a calculator for this.
The formula for the volume of a rectangular prism is:
Length × Width × Height = Volume
If we substitute our numbers in:
5/4 × 4/3 × 3/5 = 1cm³
All you need to do is multiply across.
5 × 4 × 3 = 60
4 × 3 × 5 = 60
The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.
60/60
Find the slope of (-8.-4) and (-4,-9
Answer: -5/4
Step-by-step explanation:
Answer:
= -5/4
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -9 - -4)/( -4 - -8)
= ( -9 +4)/( -4 +8)
= -5/4
The grade of a hill is its steepness represented as a percent. Jin tracks his walking speed up different hills. What does the rate of change, or slope,
represent in this situation?
Answer: The rate represents a decrease in speed for each 1% grade increases.
Step-by-step explanation:
You can use the fact that normal slope is measurement of how much the height changes as we walk on the ground for a unit distance forward. And that percent calculates everything compared to 100 parts.
The rate of change or slope, in this situation tells that if we walk 100 units horizontally, then the slope percent gives us the amount of height increased compared to height before walking 100 units.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
Converting rate of change or slope to percentage(where dependent variable is height and the independent variable is the distance walked horizontally)
Slope percent = [tex]Slope \times 100[/tex] = [tex]\dfrac{y_2 - y_1}{x_2 - x_1} \times 100[/tex]
This, shows that, if we walk 100 units horizontally, then the slope percent gives us the amount of height increased.
Learn more about percentage here:
https://brainly.com/question/11549320
A stadium had a total of 19,000 seats. Of these seats 5,500 are field seats, and the rest are grandstand seats. Complete an equation that could be used to find s, the number of grandstand seats
Answer: The equation to find Number of grand seats, s are either of the following
x+ s= Total seats
x+s= 19,000
5000+s= 19,000
Number of grand seats, s= 14,000
Step-by-step explanation:
Step 1
A stadium had a total of 19,000 seats.
Given that field seats=5,500
And the rest which are grandstand seats=?
Let field seats be represented as x and grand seats be represented as s
such that the total number of seats can be expressed as
x+ s = Total seats
x+ s= 19,000-------- Equation.
5000+s= 19,000
Step 2
Such that given field seats, x= 5000, Number of grand seats will now be
x + s= 19,000
5000 + s= 19,000
s= 19,000-5000
=14,000 seats
Which of the following is a solution to the inequality below?
4 - V > 12
V-8
V="12
V-6
Submit
Answer:
V>-8
Step-by-step explanation:
The given inequality is :
4-V>12
Subtracting 4 from both sides.
4-V-4 > 12-4
-V>8
or
V>-8
So, the value of V is more than -8.
24+4x+2=90 find for x
Answer:
90-26=4x x=16
Step-by-step explanation:
please tell me what x is NOW! -5x -2 = 11
Answer:
Step-by-step explanation:
-5x - 2 = 11
-5x = 13
x = -13/5
x = -2.6
Three ballet dancers are positioned on stage. If Vincent is 16 feet straight behind Erica and 12 feet directly left of Scott, how far is Erica from Scott?
Cindy has -$40 in her bank account. She earns $100 babysitting so she deposited it into her account. She then withdrew $50. How much does her bank account have now?
Answer:
$10
Step-by-step explanation:
Let's take this step by step. First, we know that Cindy has -$40 in her bank account. She then adds the $100 she earned, so we add -40 and 100:
-40 + 100 is the same as 100 - 40, which is 60. So, Cindy now has $60 in her bank account. Next, she took out $50. We must subtract that from what she has from her bank account:
60 - 50 = 10
Therefore, Cindy has $10 in her bank account now.
Hope this helps :)
factorise x^12 y^4 - x^4 y^12
PLEASE PLEASE explain in step by step Pleasseeeeee
Answer:
Step-by-step explanation:
First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.
Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.
[tex]x^4(x^8y^4-y^1^2)[/tex]
We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.
[tex]x^4y^4(x^8-y^8)[/tex]
i need help in mathematics 7th grade pls try to answer rlly fast
Answer: Option B
Step-by-step explanation:
please please help its due today, i give brainlest
Answer: B
Step-by-step explanation: Imagine the axis being a mirror if you draw a triangle and put it in a mirror u would get what is on B
Answer:
B or C
I’m still bad In geometry
So I need help with 1 over x minus 8 so like 1/x-8 this is a negative exponent
Answer and Step-by-step explanation:
one divided by (in parentheses) x minus eight should look like this:
[tex]\frac{1}{x-8}[/tex]
This is a graph of this expression.
#teamtrees #WAP (Water And Plant)
1) Graph the points: (-1, -2); (0, -1), (1,0) • What is the fourth point? X y
Answer:
x=2 y=1 hope this helps I used a graph
Zoom in to see better pls help!!
Answer:
12 inches
Step-by-step explanation:
expand 2(p+q) ??????
Answer:
2p+2q
Step-by-step explanation:
through: (-5, 4), slope = -4
Consider the following pair of equations:
y = −2x + 8
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
y+2x=8.....(1)
y-x=-1.......(2)
in equation (2) make x the subject of the formula x=y+1
substitute y+1 for x in equation (1)
y+2(y+1)=8
y+2y+2=8
3y=8-2
y=2
substitute 2 for y in equation 2
y-x=-1
2-x=-1
x=2+1
x=3
y=2 x=3
2x + 7y = 3
= -4y
Y
=
Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron Plant to jog this week?
Answer:
4.5 miles
Step-by-step explanation:
2 times as far as last week
last week was 2.25 miles
2* 2.25 = 4.5 miles
What is the solution to this inequality?
−9x−15 −2
x>2
x<2
x<−2
Answer: =−9x−17
Step-by-step explanation:
Let's simplify step-by-step.
−9x−15−2
=−9x+−15+−2
Combine Like Terms:
=−9x+−15+−2
=(−9x)+(−15+−2)
=−9x+−17 this is the answer search it up
Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table.
A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2.
Use the table to determine the following probabilities.
The probability that a randomly chosen person from this group has type B is
.
The probability that a randomly chosen person from this group has type AB is
.
The probability that a randomly chosen person from this group has type B or type AB blood is
Answer:
12%
Step-by-step explanation:
[tex]P=\frac{6}{22+20+6+2} =.12[/tex]
Is the sequence below increasing or decreasing?
1/7 2/7 3/7 4/7 5/7
Answer:
Increasing
Step-by-step explanation:
Let us take a look, at these fractions in decimal forms.
1/7 = 0.14
2/7 = 0.28
3/7 = 0.42
4/7 = 0.57
5/7 = 0.71
From, these we can see that the value of the numbers keep increasing. So, the sequence above is increasing.
JNCHH$JCERLKERIUVHCEKCORCURNJ
Answer:
YAs
Step-by-step explanation:
Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15
feet above him. What is Tristan's depth?
A
15 feet below the surface
B
18 feet below the surface
33 feet below the surface
D
48 feet below the surface
(0) А.
OB
OC
OD
Answer: 48 feet below the surface
Step-by-step explanation:
From the question, we are informed that two divers are underwater. Nick is 33 feet below the surface while Tristan is 15 feet above him.
Tristan's depth will be represented as x.
Therefore, x - 33 = 15
x = 15 + 33
x = 48
Therefore, the answer is 48 feet below the surface.
Answer:
B 18 feet below
Step-by-step explanation:
So subtract 33-15 bechas depth means below and since tristan has less of a depth to go rather than Nick you would subtrac.
Hope this helped! :)
Lashonda rented a truck for one day. There was a base fee of $9.75 , and there was an additional charge of 9 cents for each mile driven. The total cost, C (in dollars), for driving X miles is given by the following function.
C (X) =0.09x +9.75
What is the total rental cost if Lashonda drove 30 miles?
need major help pleaseee this is functions
Answer:
$12.45
Step-by-step explanation:
To find the rental cost, plug in 30 as x
c(x) = 0.09x + 9.75
c(30) = 0.09(30) + 9.75
c(30) = 12.45
So, the total rental cost for 30 miles is $12.45
find x=, if x+4=7 now!
Natalia está organizando la fiesta de cumpleaños de su hija lleva gastado, $2,500 y necesita comprar los platos, este le cuestan a $15 el paquete. Sí Cuenta con un presupuesto total de $3,250 ¿cual sera el intervalo de paquetes de platos que puede comprar sin que Escape a su presupuesto ?
50 paquetes restamos 2500 - 3250 nos da 750, eso lo dividimos en 15 y da 50 1ue es el resultado
Use the ratio table to find the unit rate with the specified units.
A) miles per gallon
Answer:
15.5 miles per gallon
Step-by-step explanation:
The values on the table are increasing linearly
31 gallons / 2 miles = 15.5 miles per gallon
use the diagram below to help you find the surface area of the figure when the length equals 3, the width is 8, and the height is 7