Answer:
[tex]^8C_0=1[/tex]
Step-by-step explanation:
In this problem, we need to find the value of [tex]^8C_0[/tex].
The formula for the combination is given by :
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
We have,
n = 8 and r = 0
[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]
So, the value of [tex]^8C_0[/tex] is 1.
3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can view both cars. One car can be viewed at an angle of depression of 370, and the other car can be viewed at an angle of depression of 420. How tall is the building?
Answer:
The building is 61.5 m tall
Step-by-step explanation:
The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:
h = height of the building
a, b = internal angles of each triangle
x = base of each triangle
The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:
a = 90° - 37° = 53°
b = 90° - 42° = 48°
Now we apply the tangent ratio on both triangles separately:
[tex]\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 53^\circ=\frac{150-x}{h}[/tex]
[tex]\displaystyle \tan 48^\circ=\frac{x}{h}[/tex]
From the last equation:
[tex]x=h.\tan 48^\circ[/tex]
Substituting into the first equation:
[tex]\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}[/tex]
Operating on the right side:
[tex]\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ[/tex]
Rearranging:
[tex]\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}[/tex]
Solving for h:
[tex]\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}[/tex]
Calculating:
h = 61.5 m
The building is 61.5 m tall
please help me im very behind
Answer:
y=1/3x-2
Remeber the slope intecpet form is y=mx+b
Hope this helps :)
Step-by-step explanation:
PLZ MARK ME BRAINIIEST THANK YOU
please help me!!!!!!! asap
On a map, the scale is ½ inch to 300 miles. If the trip from Corpus Christi to El Paso is 600 miles, how far apart will those cities appear on the map (in inches)?
Answer:
Step-by-step explanation:
How many miles from El Paso to Corpus Christi?
The total driving distance from El Paso, TX to Corpus Christi, TX is 699 miles or 1 125 kilometers.
Answer:
1 inch
Step-by-step explanation:
1/2 inch = 0.5 inch
0.5/300 = n/600
0.5 * 600 = n * 300
300 = 300n
1 = n or n = 1
Which graph represents y=⌈x⌉ over the domain −4≤x≤−1 ?
Answer:
4th one
Step-by-step explanation:
A net of a storage trunk is shown. Which is the trunk's surface area?
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, 1/9, 1/27
Answer:
not sure if this is correct but is it 3??
Step-by-step explanation:
XYZ is the midsegment triangle of JKL.
Find the perimeter of JKL.
Answer:
56
Step-by-step explanation: 1 tick mark is 7, 2 tick marks are 12 (24/2), 3 tick marks are 9. Side JYK is 24. Side JXL is 14. Side LZK is 18. 24+18+14= 56.
Given f(x) = 3x^2+x+1
g(x)+-2x-1
find (f+g)(-2)
Answer:
38
Step-by-step:
f(-2)=3(-2)^2+(-2)+1 g(-2)=-2(-2)-1
f(-2)=-6^2+(-2)+1 g(-2)=4-1
f(-2)=36+(-2)+1 g(-2)=3
f(-2)=34+1
f(-2)=35
f+g ------- 35+3 ------- 38
please give me brainliest
If there are 4 quarts in a gallon and 2 pints in a quart, how many pints are in 6 gallons?
Answer:
48 pints
Step-by-step explanation:
Please help me find out if there congruent
The answer choices are
J
L
H
K
How do I turn 93.75 into a fraction? :)
Answer:
Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.
Answer:
93 3/4
Step-by-step explanation:
93.75 = 93.75/1
93.75/1 × 100/100 = 9375/100
9375 ÷ 25 / 100 ÷ 25 = 37/54
93 3/4
93.75 = 93 3/4
whats 93, −76, 102, −101, 83, −48 least to greatest
Answer:
it iss -101, -76, -48, 83, 93
Answer:
-101, -76, -48, 83 ,93, 102
-3/5a=2
a= ___ please help
Answer:
a=-3 1/3
Step-by-step explanation:
look i need the answer quick
Answer:
Step-by-step explanation:
division
Show solutions please
Answer:
1. Their ages are:
Steve's age = 18
Anne's age = 8
2. Their ages are:
Max's age = 17
Bert's age = 11
3. Their ages are:
Sury's age = 19
Billy's age = 9
4. Their ages are:
The man's age = 30
His son's age = 10
Step-by-step explanation:
1. We make the assumption that:
S = Steve's age
A = Anne's age
In four years, we are going to have:
S + 4 = (A + 4)2 - 2 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we had:
S - 3 = (A - 3)3
S - 3 = 3A - 9
S = 3A - 9 + 3
S = 3A – 6 …………. (2)
Substitute S from (2) into (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into (3), we have:
S = (3 * 8) – 6 = 24 – 6
S = 18
Therefore, we have:
Steve's age = 18
Anne's age = 8.
2. We make the assumption that:
M = Max's age
B = Bert's age
Five years ago, we had:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (3)
A year from now, it will be:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30
M = 30 – 2 – B
M = 28 – B …………………… (4)
Substitute M from (4) into (3) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
If we substitute B = 11 into equation (4), we will have:
M = 28 – 11
M = 17
Therefore, their ages are:
Max's age = 17
Bert's age = 11.
3. We make the assumption that:
S = Sury's age
B = Billy's age
Now, we have:
S = B + 10 ................................ (5)
Next year, it will be:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (6)
Substituting S from equation (5) into equation (6) and solve for B, we will have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (5), we have:
S = 9 + 10
S = 19
Therefore, their ages are:
Sury's age = 19
Billy's age = 9.
4. We make the assumption that:
M = The man's age
S = His son's age
Therefore, now, we have:
M = 3S ................................... (7)
Five years ago, we had:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (8)
Substituting M = 3S from (7) into (8) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (7), we have:
M = 3 * 10 = 30
Therefore, their ages are:
The man's age = 30
His son's age = 10
Please help me with the attachment below, will give brainlest
Answer:
D.
Step-by-step explanation:
PLEASE HELP ME FAST!
If 14 gallon of paint covers 112 of a wall, then how many quarts of paint are needed for the entire wall?
Answer:
168 gallons
Step-by-step explanation:
Correct question;
If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?
If 14 gallon of paint covers 112 of a wall, this can be expressed as;
14 gallons = 1/12 of the wall
x gallons = entire wall (1 wall)
Cross multiply
1/12 * x = 14
x/12 = 14
Multiply both sides by 12
x/12 * 12 = 14*12
x = 168 gallons
Hence 168galons of paints are needed for the entire wall
Marsha has 3 rugs. the first rug is 2 meters 87 centimeters long. the second rug has a length 98 centimeters less than the the first. the third rug is 111 centimeters longer than the second rug. what is the difference in centimeters between the length of the first rug and the third?
Answer:
13 cm
Step-by-step explanation:
rug 1= 2.87 meters or 287 cm
rug 2= 287-98 or 189 cm
rug 3= 189+111 or 300 cm or 3m
300-287=13cm or 0.13m
Which of the following expressions is equivalent to 7y + 21 ?
Answer:
the answer is 7 ( y + 3) hope this helped
Chuck made $13.90 per hour, gets a 12% raise, and works 40 hours per week.
Answer:
40 times 9 equals 299
Step-by-step explanation:
Which of the fallowing shows the numbers in the box below listed in increasing order? 1/2, 1.2, -2, 3/7 pls helpppp quick
Answer:
-2, 3/7, 1/2, 1.2
Step-by-step explanation:
Increasing == least to greatest in value.
-2 = -2
3/7 = 0.429
1/2 = 0.5
1.2 = 1.2
LGS 2.5.052.MI.
A fax machine that regularly sells for $227.88 is on sale for
off the regular price. Find the sale price.
$
Answer:
I’m sorry but I can’t see how much it’s on sale for so just tell me and I’ll answer.
Step-by-step explanation:
Chanel rolls a 6-sided die {1,2,3,4,5,6), and then flips a coin {H,T}
Which outcome is in the sample space of this experiment?
A.5H
B. T3
C. 24
D.TH
Answer:
5H
Step-by-step explanation:
Given
A roll of die followed by a flip of coin.
Required
Determine possible outcome in the sample space
Taking the experiment one at a time.
A roll of die will either give any of 1 to 6 as its outcome.
A flip of coin will either give any of H or T as its outcome.
So, the possible outcomes of a roll of die followed by a flip of coin is:
{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}
Note that numbers came first because the question stated that the die is rolled first.
Comparing the list of given options with the sample space above.
Option (A) i.e. 5H answers the question.
35 points plz help
Evaluate −4(14)6x for x=13.
Enter your answer as a fraction in simplest form in the box.
Answer:
-15228
Step-by-step explanation:
Given the expression :
-4(14)6x for X = 13
To evaluate ; simply substitute 13 for X in the equation :
-14(14)6(13)
-14 * 14 * 6 * 13 = - 15228
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Given f(x) = x², write the new equation of j(z) if j() = – 2f(x + 6) + 9. You do not need to simplify.
Answer:
gurl im sorry
Step-by-step explanation:
i dony know the answer im just here for points
Graph the equation .
y = 4x + 1
Answer:
-Picture attached-
Step-by-step explanation:
The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.
Simplify (6x−3)−(9x+2)
15x−5
15x−1
−3x−1
−3x − 5
Answer:
- 3x - 5
Step-by-step explanation:
(6x-1) -9x-2
=-3x-5