Answer:
[tex]\sin \left(90^{\circ \:}-x\right)=\cos \left(x\right)[/tex]
Hence, option D is correct.
Step-by-step explanation:
Given the expression
[tex]sin\:\left(90^{\circ }\:-\:x\right)[/tex]
Using the angle difference identity
[tex]\sin \left(s-t\right)=\sin \left(s\right)\cos \left(t\right)-\cos \left(s\right)\sin \left(t\right)[/tex]
so the expression becomes
[tex]sin\:\left(90^{\circ }\:-\:x\right)=\sin \:\left(90^{\circ \:\:}\right)\cos \:\left(x\right)-\cos \:\left(90^{\circ \:\:}\right)\sin \:\left(x\right)[/tex]
as sin 90° = 1
so sin 90° cos x = cos x
also
cos 90° = 0
so con (90°) sin x = 0
Thus, the expression becomes
[tex]\sin \:\left(90^{\circ \:\:}\right)\cos \:\left(x\right)-\cos \:\left(90^{\circ \:\:}\right)\sin \:\left(x\right)=\cos \:\left(x\right)-0[/tex]
[tex]= cos (x)[/tex] ∵ [tex]\cos \left(x\right)-0=\cos \left(x\right)[/tex]
Therefore,
[tex]\sin \left(90^{\circ \:}-x\right)=\cos \left(x\right)[/tex]
Hence, option D is correct.
Select “spin” to start the spinner. Perform the experiment with 50 trials. What’s the experimental probability of the spinner landing on red?
Answer:
1/10
Step-by-step explanation:
Answer:
5/50 or 1/10
Step-by-step explanation:
Both are correct, but the best answer is 1/10 because it is the simplest, and its reduced form.
* Brittany's teacher tells her that she did well on the Statistics test - her z-score was 1.80 on the test. If the mean score on the test was a 75 with a standard
deviation of 10, find Brittany's score
Answer:
93
Step-by-step explanation:
Given that:
Brittany's Zscore = 1.8
Mean score (m) = 75
Standard deviation (s) = 10
Brittany's score (x) =?
Using the Zscore formula :
Zscore = (x - m) / s
1.8 = (x - 75) / 10
18 = x - 75
18 + 75 = x
93 = x
Hence, Brittany's score is 93
Due in 15 minutes helppppp
Answer:
13,5,12 inches hope this helps
Step-by-step explanation:
Marco wants to buy a new smartphone that costs $495. He has already saved $75. Write and solve an inequality to find the least amount of money,
m, that Marco still needs to save before he can buy the smartphone. Enter your answer in the box
Marco needs to save at least $
Answer:
495-75=420 so
(−10,7)∪(7,11)(−1,2)∪(−4,0)[−1,9)∪(2,10]
Step-by-step explanation:
420 is that Marco still needs to save before he can buy the smartphone.
Here's a screenshot of the answer below:
Tray has $50 and receives $8 a week for allowance. He wants to save all of his money to buy a new mountain bike that costs $499. Write an arithmetic sequence to represent the situation. Then find whether Tray will be able to afford the new bicycle after one year (52 weeks).
Answer:
Solution is in photo
Step-by-step explanation:
help!!!!!!!!!!!!! I really need help!!!!!!!!!!!!!!!
Answer:
5/9 or 0.5555 repeating [tex]m^{2}[/tex]
Step-by-step explanation:
(5/6 x 2/3)
what is this expand 2(2x-3)
Answer:
4x - 6
Step-by-step explanation:
2 × 2x = 4x
2 × -3 = -6
4x -6
Answer:
hi
Step-by-step explanation:
[tex]2(2x - 3) \\ 4x - 6[/tex]
hope it helps
have a nice day
Compound interest
Al invests some money in a bank that pays 5% compound interest per year
She wants it to be worth £8000 at the end of 3 years
What is the smallest amount she could invest?
Answer:
£6886
Step-by-step explanation:
P x e^r x t is the formula for compound interest
P x e^0.05 x 3 = 8000
P x 1.162 = 8000
P = 6885.66 = £6886 (round to the nearest pound)
Answer: £6910.71
Step-by-step explanation:
im not sure but i got this
help pls omg its due in an hour
Answer:
Well you could try measuring it out with a ruler or count the dots that would be there or even try a graph this might help u
Step-by-step explanation:
1: count the dots that are going diagnal
2: try using a ruler
3: then graph the points and see if this helps
20 POINTS PLEASE HELP!Which equation is modeled below?
Answer:
b
Step-by-step explanation:
i am in algebra 2 so i know this
It costs $35 to enter an amusement park and $0.89 to ride a ride. You have $75. Write an equation that represents the number r of rides you can ride.
A. $35 + $0.89r = $75
B. $35r + $0.89 = $75
C. $75 - 35r = .089
D. None of the above
Boris has to give medicine to his cat every morning for the next 14 days. How many weeks is this?
A 25 ft ladder leans against a building. The ladder’s base is 13.5 feet from the building. Find the angle of elevation, which the ladder makes with the ground.
Answer:
57.3°
Step-by-step explanation:
A 25 feet ladder leans against a building.
The ladder's base is 13.5 feet from the building.
The ladder, the wall of the building and the ground form a right-angled triangle of:
Hypotenuse = 25 feet
Base = 13.5 feet
We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)
Let's say the angle = X°
According to a trigonometric equation;
cos X° = adjacent side ÷ hypotenuse = [tex]\frac{13.5}{25}[/tex] = 0.54
[tex]cos ^{-1} X[/tex] = 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°
Pleaseeeee hellpppp :(
Answer:
1
Step-by-step explanation:
To find the solutions (or, in other words, zeroes) of a quadratic function/equation we use the discriminant (the part that's inside the square root of the quadratic formula, [tex]b^2-4ac[/tex].)
If the discriminant is smaller than 0, there are no zeroes
If the discriminant is equal to 0, there is one zero
If the discriminant is larger than 0, it has two zeroes
The discriminant is commonly denoted as [tex]\Delta[/tex].
Which expression can you use to find the area of the rectangle?
Answer:
The formula for area of a rectangle is: A = L * W where L is the length and W is the width. where S is the length of one side.
The expression A=LW is used to find the area of the rectangle.
We have to determine
The expression can you use to find the area of the rectangle.
What is the formula for the area of a triangle?The formula for the area of a rectangle is: A = L * W
where L is the length and W is the width.
where S is the length of one side.
Therefore the expression A=LW use to find the area of the rectangle.
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Determine whether the triangles are similar. or not.
If similar, state how.
A. similar, AA
B. similar, sss
C. Similar, SAS
D. Not similar
Answer: A
Step-by-step explanation:
Answer A:
Angle H is congruent to angle H. because BC and GI are parrellel, and Angles IGB and CBH are corresponding angles. Triangles HBC and HGI are similar
Yes, the triangles are Similar by SAS similarity criteria the triangles are similar.
What is Similarity?Similar triangles have proportional sides and equal corresponding angles. This similarity can be expressed using the symbol "∼".
We have two Triangles named HBC and HGI
As, per the figure CB || IG
We know, A midsegment is parallel to one side of a triangle and divides the other two sides into congruent halves.
Then, HB / BG = HC / HI
Now, add 1 to both side we get
HB / BG + 1 = HC / HI + 1
(HB + BG) / BG = (HC + HI) / HI
BG / BG = CI / HI
Now, In Triangles HBC and HGI
BG / BG = CI / HI
<H is Common.
Thus, by SAS similarity criteria the triangles are similar.
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quick answer please??
Answer:
2.64
Step-by-step explanation:
x +2y = 6.06
3x + y = 4.99
x is fries, y is burgers. Solve for y.
What should the following equation be multiplied by to eliminate the decimals? -200k – 3.01 = 3.3
10
2
20
100
Answer:
20
Step-by-step explanation:
Answer:the answer is 20
Step-by-step explanation:wanna be friends
please help for brain lest
Answer:
10/15-9/15=1/15
Step-by-step explanation:
2/3=10/15
3/5=9/15
10/15-9/15=1/15
Please help me out here! Precalc :))
Domain are the x values where the line starts and stops.
A bracket is used for a solid circle and a parentheses is used for open circles
The answer would be the second choice: (1,2)
Jacks father drives to work in 30 minutes while driivng at his usual speed. When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer. How far is Jack's father's work from home
Answer:
The distance of Jack's father's work from home is 22.5 miles.
Step-by-step explanation:
Given;
time it takes Jacks father at usual speed, t = 30 minutes = 0.5 hour
Jacks father speed when traffic is bad, = 30 mph slower
let the usual speed = v
let the distance of Jack's father's work from home = y
When traffic is normal;
[tex]v = \frac{y}{0.5 } ---- equation \ (1)[/tex]
When traffic is bad;
[tex]v - 30 \ mph = \frac{y}{1 \ + \ 0.5} \\\\v -30 = \frac{y}{1.5} \\\\v= 30 +\frac{y}{1.5} ----equation \ (2)[/tex]
Solve equation (1) and (2) together;
[tex]\frac{y}{0.5} = 30 \ + \ \frac{y}{1.5} \\\\y = 0.5(30 \ + \ \frac{y}{1.5})\\\\y = 15 + \frac{y}{3} \\\\y - \frac{y}{3} = 15\\\\\frac{3y-y}{3} =15\\\\\frac{2y}{3} =15\\\\2y = 3(15)\\\\2y = 45\\\\y = \frac{45}{2} \\\\y = 22.5 \ miles[/tex]
Therefore, the distance of Jack's father's work from home is 22.5 miles.
The required distance of Jack's father's work from home is y = 22.5miles.
Given that,
Jacks father drives to work in 30 minutes while driving at his usual speed.
When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.
We have to determine,
How far is Jack's father's work from home.
According to the question,
Let, the usual speed = v
And the distance of Jack's father's work from home = y
Jacks father at usual speed taking time, t = 30 minutes = 0.5 hour,
Jacks father speed when traffic is bad, = 30 mph slower.
The formula for speed is defined as = distance ÷ time.
Therefore,
Jacks father drives to work in 30 minutes while driving at his usual speed.
[tex]Speed = \dfrac{distance}{time}\\\\v = \dfrac{y}{0.5}[/tex]
Then,
When traffic is bad, he drives 30 miles per hour slower and the trip takes one hour longer.
[tex]Speed = \dfrac{distance}{time}\\\\v - 30mph = \dfrac{y}{1+0.5}\\\\v = \dfrac{y}{1+0.5} + 30[/tex]
Substitute the value of v from equation 1 to equation 2,
[tex]v = \dfrac{y}{1+0.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y}{1.5} + 30\\\\\dfrac{y}{0.5} = \dfrac{y +30(1.5)}{1.5}\\\\y (1.5) = 0.5(y +45)\\\\1.5y = 0.5y + 22.5 \\\\1.5y - 0.5y = 22.5\\\\1y = 22.5\\\\y = 22.5 \ miles[/tex]
Hence, The required distance of Jack's father's work from home is y = 22.5miles.
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The value of a bank account is –$28. Money is then deposited into the account. Which could represent the value of the
account now?
Select all the correct answeis
-$33
- $6
-$45
$17
$0
Answer:
-$6, $0, and $17
If he divides his land into square fields that are 1/2 mile long and 1/2 mile wide , how many fields will he have??
Answer:
that would be 1
Step-by-step explanation:
i divided the 2 fractions and got 1
Find the mean absolute deviation of the data.
2, 2, 3, 4, 4, 6, 10, 11, 12, 16
Find the mean absolute deviation of the data.
2, 2, 3, 4, 4, 6, 10, 11, 12, 16
Answer:
26
Step-by-step explanation:
Thisis math can be exolained
please help me if you can, thank you so much
Jermaine earned $2000 during the summer. He plans to put the money in a
savings account and leave it for 40 years. The account will earn 9% simple
interest annually. What will the balance be after 40 years?
Please help!! This is a test and I need a good grade!!
Answer:9200
Step-by-step explanation: .09 * 2000 = 180 * 40 = 7200 + 2000 = 9200
Balance amount in Jermaine account after 40 years is equals to $9200.
What is simple interest?" Simple interest is the process of calculating amount of interest given on the principal amount at the rate of interest over period of time."
Formula used
S.I. = = (P × R × T) / 100
S.I.= Simple Interest
P = Principal amount
R = Rate of interest
T = Time
Total amount = P + S.I.
According to the question,
Given
P = $2000
R = 9%
T = 40 years
Substitute the given values in the formula we have,
Simple Interest = (2000 × 9 × 40) / 100
= $7200
Total balance amount after 40 years = $2000 + $ 7200
= $9200
Hence, balance amount after 40 years is equals to $9200.
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Find the value of x?
A.45
B.22
C.82
D.56
Answer:
B
x = 22
Step-by-step explanation:
2x + 8 + 3x + 5 = 123 (external angle in a triangle = the two opposite angles)
5x = 123 - 13
5x = 110
x = 22
Answer: B
Step-by-step explanation:
By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two opposite interior angles.
(2x+8)+(3x+5)=123 [combine like terms]
5x+13=123 [subtract both sides by 13]
5x=110 [divide both sides by 5]
x=22
Now, we know that the answer is B.
Which expression is equivalent to 5/6c + 76c, if c+ 0?
Answer:
0
Step-by-step explanation:
If c=0
that expression also equals 0
Find the area of the above parallelogram
Answer:
30 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here
b is the horizontal measure between 2 red points, that is 6
h is the vertical measure from the lower left point to the other horizontal line, that is 5, then
A = 6 × 5 = 30 units²
please answer w/ explanation !!
