Answer:
15504 ways
Step-by-step explanation:
[tex]C(n,r)=\frac{n!}{r!(n-r)!} \\\\C(20,5)=\frac{20!}{5!(15)!} \\\\C=15504[/tex]
100Pts fast plz
A triangular pen is modeled by △ABC. The vertices of △ABC are A(0, 8), B(12, 3), and C(7, –9). What is the area of the pen?
Answer:
The area of the triangle is 84.511 square units.
Step-by-step explanation:
First step, we need to calculate lengths of line segments AB, BC and AC by Pythagorean Theorem:
AB:
[tex]AB = \sqrt{(12-0)^{2}+(3-8)^{2}}[/tex]
[tex]AB = 13[/tex]
BC:
[tex]BC = \sqrt{(7-12)^{2}+(-9-3)^{2}}[/tex]
[tex]BC = 13[/tex]
AC:
[tex]AC = \sqrt{(7-0)^{2}+(-9-8)^{2}}[/tex]
[tex]AC \approx 18.385[/tex]
Now, we can determine the area of the triangle ([tex]A[/tex]) by Heron's formula:
[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)
[tex]s = \frac{AB+BC+AC}{2}[/tex] (2)
Where [tex]s[/tex] is the semiperimeter of the triangle.
If we know that [tex]AB = 13[/tex], [tex]BC = 13[/tex] and [tex]AC \approx 18.385[/tex], then the area of the triangle is:
[tex]s = 22.193[/tex]
[tex]A = 84.511[/tex]
The area of the triangle is 84.511 square units.
Which of the following equations is in standard form? O y = 2x + 3 O-3x - 2x = 6 O 2x + 3y = 6 O y - 2 = 3(x + 1)
an expression to represent ( w increased by 5 )
Answer:
W + 5
Step-by-step explanation:
Given a number, W
An increase in W by a constant 5 ; can be expressed as ;
W plus the constant value increase
Hence,
Increase in W by 5 equals ;
W + 5
Please help me with this I need to know
Answer:Just multiply Step-by-step explanation:do 12x10x20=2,400
Abishola has an overall GPA of 2.7 over her first three years with 90 credits. She is taking 30 credits her senior and wants her final GPA to be 3.0. Is this possible? If she achieves all A’s her senior year, what will be her final GPA?
(a) 3.025 (b) 3.1 (c) 3.0 (d) 2.94 (e) 2.86 (f) none of the above
Answer:
(a) 3.025
Step-by-step explanation:
The computation is shown below:
In the case when Abishola acheives all As in the senior year, so the final GPA Is
The net GPA is 3
So,
(2.7 × 90 + 30 × x) ÷ 120 = 3
30x = (360 - 2.7 × 90)
x = (360 - 2.7 × 90) ÷ (30)
= 3.9
As she can score till 4 so 3.9 could be possible
In the case when she score 4 on her final year so her GPA is
= (2.7 × 90 + 30 × 4) ÷ 120
= 3.025
I DONT WANT HOW TO DO IT JUST THE ANSWER
Answer:
87.5
Edited: Yea should be 56, misread it LOL.
Appoligise to that silly mistake
Step-by-step explanation:
Margie needs 7 ticket to the same soccer game.
Describe the best way to figure out Margies EXACT cost, if we know that 3 tickets cost $53.00.
Answer:
$123.66
Step-by-step explanation:
53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66
From which types of data display can the number of observations in a data set be determined?
A. Dot plot
2. Box plot
3. Histogram
Element X is a radioactive isotope such that its mass decreases by 67% every year. If
an experiment starts out with 740 grams of Element X, write a function to represent
the mass of the sample after t years, where the daily rate of change can be found
from a constant in the function. Round all coefficients in the function to four decimal
places. Also, determine the percentage rate of change per day, to the nearest
hundredth of a percent.
Answer:
Step-by-step explanation:
X is mass which I s decrease. If you have 740 grams of element x and you add the function.per the rate day you will have a hundredth percent.
Answer:
f(t)=740(0.9970)^365t
0.30% decrease per day
What is the value of x? Please help asap
Answer:
x=27
Step-by-step explanation:
It’s a ratio:
9.9/11=x/30
cross multiply
11x=297
x=27
express 99 as the product of its prime factors
Answer:
99
= 11 × 9
= 11 × 3 × 3 ----- 99 as the product of its prime factors.
Answer: 99
= 11 × 9
= 11 × 3 × 3 ----- 99 as the product of its prime factors.
Mr Mazibuko monthly salary before tax is R12 700 what will be his salary after paying 11% tax
Answer:
R11 303
Step :
Find 11% of R12 700
R12 700 × 11/100
=R1 397
then substract the 11% from R12 700
R12 700 - R1 397
=R11 303
A single die is rolled once. Find the probability of rolling a number less than 7.
Answer:
1/6
Step-by-step explanation:
The die is rolled once, so it is 1 out of the total number on the die ie 6, as a die has only faces or sides so its obvious out of these 6 faces only one will show.
is square root of 2 a natural number
HELP ME NOW
04 Fill in the blank Drag and Drop
Raven has driven 90 miles, which represents 30% of the total distance she diving
What is the total distance Raven is driving, and how many miles does she have left to drive
Drag a number into each box to complete the sentences
Raven is driving a total distance of
miles. She has
miles left to die
11 27
11 30
11 63
1 90
11 117
11 210
11 300
11990
Answer:
its blurry
Step-by-step explanation:
What are the coordinates of B’ if Triangle ABC is reflected over the x-axis?
Answer:
the coordinates of b if it is reflected over the x-axis (-2,5)
I need help on this assignment
Answer:
Because each side counts up to 60 mybe
Answer:
The answer is B
Step-by-step explanation:
Y’all I can’t even right now... helpppp
Answer:
3 is the quotient and 5 is the remainder
Step-by-step explanation:
Answer:
3 with a remainder of 5
Step-by-step explanation:
26-0=26-21=5
Find the surface area of the right triangular prism (above) using its net (below).
units
Answer:
120 units^2
Step-by-step explanation:
(12)(5)(0.5)(2) + (12)(2) + (13)(2) + (5)(2) = 120 units^2
The radius of a circle is 13 centimeters. What is the circle's circumference? Use 3.14 for .
Answer:
The circumference is 81.64cm
Step-by-step explanation:
Circumference of a circle=2×3.14×radius
2×3.14×13=81.64
I hope this helps you in any way :)
I need help to do this dont know how to do!
Answer:
Step-by-step explanation:
Even I need help with that
What is the sum of the measures of the interior angles of a 20-sided figure?
Enter your answer in the box.
__°
The sum of the measures of the interior angles of a 20-sided figure is 3240.
What are Interior angles ?
An interior angle of a polygon is an angle that is created between two of the polygon's adjacent sides. The interior angle of a polygon is also known as the angle measured at the interior of a polygon.
the number of sides of given polygon is 20.
we know that, sum of the measures of the interior angles can be found by using formula : (n-2) × 180
where n= no. of sides of given polygon
So, sum of the measures of the interior angles of 20 sided figure :
= (n-2) × 180
= (20-2) × 180
= 18 × 180
= 3240 .
To learn more about Interior angles, visit the link :
https://brainly.com/question/24966296
#SPJ1
HelllpFind an equation of a line that contains the points (-3,-1) and (2,-2). Write the equation in slope-intercept form.
Answer:
y = -1/5x -8/5
Step-by-step explanation:
(-3,-1) and (2,-2)
m=(y2-y1)/(x2-x1)
m = ( -2 + 1)/(2 + 3)
m = (-1)/(5)
m = -1/5
y - y1 = m(x - x1)
y + 1 = -1/5(x + 3)
y + 1 = -1/5x -3/5
y = -1/5x -8/5
7.) Which expression makes the following equation true? 25x + 15y + (-18x - 1 point
6y) =_______+9y *
A.-43x
B.-7x
C.7x
D.43x
Answer:
sorry i need this for a challenge :)
Step-by-step explanation:
Does anyone know what 30 divided by .5 is? Thank you!! :)
Answer:
60
step-by-step explanation:
Answer: 60
Step-by-step explanation: Basically just multiply the whole number by 2 :)
Whenever you see something times 0.5, just know that its going to be that number times 2 (like another half of that number if you understand)
Why? Because 0.5 is basically like a one half (1/2) and you flip the stuff. since 0.5 is a half, here's a tip. Whenever you're dividing with decimals, use the formula KCF (keep, change, flip) (what my teacher taught me before)
Here's a drawing to better explain:
If a price increases by 16%, what number can we multiply the old price by to get the new price?
Answer:
Multiply by 1.16
Step-by-step explanation:
Answer:
Multiply it by 0.16
solve (78 + 13 )^ 3 - 8 x 10
Answer:
[tex]753491[/tex]
Step-by-step explanation:
1) Subtract 78 + 13 to 91.
[tex] {91}^{3} - 8 \times 10[/tex]
2) Simplify 91³ to 753571.
[tex]753571 - 8 \times 10[/tex]
3) Simplify 8 × 10 to 80.
[tex]753571 - 80[/tex]
4) Simplify.
[tex]753491[/tex]
Therefor, the answer is 753491.
Last season, two running backs on the Steelers
football team rushed for a combined total of
1550 yards. One running back ran for 450 yards
more than the other. How many yards did they
each run?
Answer:
Step-by-step explanation:
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. this is the equation that was used
x + y = 1550
y = 4x
Mr Kinney biology class completed a lab to determine blood type. The results are reported in the frequency table. What is the relative frequency of a student having o type blood? 0.1 0.2 0.3 0.4
Answer:
o . ooo 2 and dr 45009.7 ok byy
Pleaseeee helpppp it’s due in 6 minutes helpp!! Explain
Answer:
I might be wrong but since ur in a rush: 173
Step-by-step explanation:
Answer:
287.25 miles in 5.75 hours
Step-by-step explanation:
so he was first driving at 48mph because 168/3.5=48
5 miles per hour faster than that is 53mph
53*2.25=119.25
then we add 119.25 and 168