Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
What is the value of cos(15°)?
Answer:
The answer is C. [tex]\frac{\sqrt{6} + \sqrt{2} }{4}[/tex]
Step-by-step explanation:
The value of cos(15°) is (√(6) + √(2))/4.
The correct option is C.
What is half-angle formula?The half-angle formula is a trigonometric identity that relates the trigonometric functions of half of an angle to the trigonometric functions of the original angle.
Using half-angle formula for cosine
cos(x/2) = √((1 + cos(x))/2)
In this case, x = 30°, so we have:
cos(15°/2) = √((1 + cos(30°))/2)
cos(15°/2) = √((1 + √(3)/2)/2)
Now, rationalize the denominator:
cos(15°/2) = √((2 + √(3))/4)
cos(15°/2) = √((1/2 + √(3)/4))
Finally, we factor the numerator by multiplying it by (√(2) + √(6))/(√(2) + √(6)):
cos(15°/2) = (√(2) + √(6))/(2√(2))
cos(15°) = (√(2) + sqrt(6))/(2√(2))
By rationalizing the denominator further, we get:
cos(15°) = (√(2) + √(6))/(2√(2)) (√(2)/sqrt(2))
cos(15°) = (√(2)√(2) + √(6)√(2))/(2√(2)√(2))
cos(15°) = (2 + √(12))/(2 x 2)
cos(15°) = (2 + 2√(3))/(4)
cos(15°) = (√(6) + √(2))/4
Therefore, the value of cos(15°) is (√(6) + √(2))/4.
Learn more about Half angle Formula here:
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Why do people think maths as a hard subject
Do you feel math is hard
In the video game Stunt Pilot, players gain and lose points based on how well they perform tricks in their airplanes. Kirk had 33 points in the game before getting – 18 points for losing control of his plane during a stunt. What is Kirk's score now?
Answer: 15
Step-by-step explanation: Well first you have to minus 33-18=15
A study showed that the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7 based on the ratio, how many people in a town of 900 people get there news from social media
Answer: 270 people
Step-by-step explanation:
Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:
Fraction of people who gets there news from social media = 3/10
Fraction of people who got there news from other sources = 7/10
If there are 900 people, number of people who gets there news from social media will be:
= 3/10 × 900
= 3 × 90
= 270 people
HURRY UP NEED HELP
7. Find the equation of a line that fits the data shown in the graph below.
Answer:
y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P
Answer:
y=2x + (-1)
Slope is m=2 and the y-intercept is b= -1
I’ll give 10 points and brainliest
Answer:
Step-by-step explanation:
-(-2)^2 - (8(-2)-2(-3)) + 4(-3)
-4 -(-16 + 6) - 12
-4 - (-10) - 12
-4 + 10 - 12
6 - 12 = -6
What is the equation of the line that passes through the points (−2,4) and (0,3)?
Answer:
y=-1/2x+3
Step-by-step explanation:
Can someone help me with this math question? First to answer will get Brainliest! :)
Answer:
A
Step-by-step explanation:
yiu have to rotate it in order to make that
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57. The equation 29.95 + 0.79d = 91.57 can be used to model this situation. Choose True or False for each statement. A) The variable d represents the number of miles Ms. Knowles drove. B) The term 0.79d represents the charge in dollars for the distance driven. C) You can isolate the term 0.79d by adding 29.95 to both sides of the equation.
Given:
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.
The equation is
[tex]29.95 + 0.79d = 91.57[/tex]
To find:
Whether the statement are true or false.
Solution:
We have,
[tex]29.95 + 0.79d = 91.57[/tex]
Here,
Fixed cost = 29.95
Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.
So, the variable d represents the number of miles Ms. Knowles drove. Hence, statement A is true.
The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.
You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.
Hence, statement C is false.
A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?
can someone plz help me with dos plz
Answer:
44,62, and where is E
Step-by-step explanation:
Part (i)
Angle DBA = 44--------
Reason:
Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.
============================================================
Part (ii)
Angle DAC = 46--------
Reason:
Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.
============================================================
Part (iii)
Angle BCE = 74--------
Reason:
Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD
Focus on triangle BCD. The three interior angles add to 180
B+C+D = 180
46+y+28 = 180
y+74 = 180
y = 180-74
y = 106
Then subtract 180 from this to get the exterior angle BCE
angle BCE = 180-(angle BCD)
angle BCE = 180-y
angle BCE = 74
Or as a shortcut, you could use the remote interior angle theorem
angle BCE = (angle BDC) + (angle DBC)
angle BCE = (28) + (46)
angle BCE = 74
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
see below
Step-by-step explanation:
shape LNMP is :
translated as 0,-7 flip of mirrored along y-axis reflected imaged is ABCD as givenIn a figure, such as a triangle or parallelogram, this is used to refer to the
length of one side.
Answer:
The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,
Step-by-step explanation:
Jared makes $990 per week at his job. He is asking to have his pay increased by $110 per week. If he gets the pay increase, what will his weekly pay be?
Answer:
$1100 per week
Step-by-step explanation:
Amount made per week = $990
Increase amount per week = $110
Unknown:
What will be his weekly pay per week = ?
Solution:
His weekly pay per week will be = amount made per week + Increase
= $990 + $110
= $1100
He now makes $1100 per week.
Question is on a picture
Answer: -9
Step-by-step explanation:
When you plug in the numbers you get the equation 4* (-6) + 5*3
When you solve it out you get -24 + 15. This equals -9.
PLEASE ANSWER FAST
A principal spent $1560 total on "c" calculators for his school. Which
expressions shows the cost of ONE calculator.
A. c+ 1560 B. 1560c C. 1560- c D. 1560/c
Answer:
1560/c
Step-by-step explanation:
if you divide 1560 by c the value you get will be the cost of one calculator.
Answer:
The answer is D. 1560/c
Step-by-step explanation:
If you divide 1560 by c you will get the cost of one calculator.
What is X? −2(x−6)= x+5
Answer:
x=-1
Step-by-step explanation:
-2(x-6)=x+5
-2x-(-12)=x+5
-2x+12=x+15
-2x -----^
x+2x=3x
+15 turns into minus 15
12-15= -3
-3=3x
-1=x
Answer: 7/3 or 2.333333333
Step-by-step explanation:
Distribute -2 to x and -6
-2x + 12 = x + 5
Subtract x from both sides
-3x + 12 = 5
Subtract 12 from both sides
-3x = -7
Divide -3 from both sides
X= 7/3 or 2.333333333
The difference between four times a number and six is -46
Answer: 4x-6=-46
4x-6=-46
there are 11 pieces of pie left over in the cafeteria. if the 6 pieces are apple and 5 are cherry , what fraction of the remaining are apple
Answer:
6/11
Step-by-step explanation: If not this try 12/22
This is because 11 is the denominator and both 5 and 6 are numerators. If you were to ask for what the fraction of remaining pie would be cherry, then you would say 5/11
If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?
Given:
Two dice are rolled together.
Total number of possible outcomes.
To find:
The list of total possible outcomes.
The probability of getting a sum of 11 in these outcomes.
The probability of getting a sum less than or equal to 4.
The probability of getting a sum of 13 or more.
Solution:
If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3
The probability of getting a sum of 11 in these outcomes is
[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]
[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]
Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].
Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6
The probability of getting a sum less than or equal to 4 is
[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]
[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]
Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].
Sum of 13 or more = empty set because maximum sum is 12.
The probability of getting a sum of 13 or more is
[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]
[tex]P({sum\geq 13})=0[/tex]
Therefore, the probability of getting a sum of 13 or more is 0.
m= 4/5 - 2/5
————- = ?
-1 - -2
Answer:
2/5 = 4/5 - 2/5 = m
A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?
Answer:
48 cm
Step-by-step explanation:
64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.
Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?
Answer:
0.5 m
Step-by-step explanation:
Just use the answer
FIRST ANSWER GETS CROWNED BRAINLIEST!!! 30 points!!!
The slope of a line is 3/4. If x increases by 20, what is the corresponding change in y? Please explain the answer.
Answer:
15
Step-by-step explanation:
15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15
Answer:
The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).
Step-by-step explanation
If it is wrong then I'm sorry
Refer to the given sets information Y U Z
Answer:
i hate biden
Step-by-step explanation:
Find the midpoint of a line segment whose endpoints are (-14, 4) & (6,12)
(-1,5)
(-4,4)
none of these
(1/2,2)
(5,1)
when y= 4x, if y= 36, what is x?
Answer:
x=9, hope I helped :P
What is the solution for the system of equation
Y=-2x+8 y=x-4
Answer:
(x , y) = (28/5 , 8/5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
(x , y) = ( 28/5 , 8/5 )
There are 3 blue rings, 4 red rings, and 8 yellow rings. Hint: _:_
(I Need part A, B and C)
Part A: write the ratio of red rings to all rings.
Part B: write the ratio of red rings to blue rings.
Part C: write the simplified ratio of blue rings to all rings.
Answer:
4:15, 4:3, 1:5
Step-by-step explanation:
Part A:
There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.
4:15
Part B:
As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.
4:3
Part C:
There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.
3:15 = 3/3:15/3 = 1:5
Hope this helps.
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the binomial probability distribution for X . Round to two decimal places
Answer:
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Step-by-step explanation:
Given that:
Total Number of cameras (n) = 8
Defective cameras = 4
X: number of defective cameras
For a binomial distribution :
P(x) = nCx * p^x * (1 - p)^(n - x)
Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5
If 2 samples are chosen at random :
Then, the binomial probability distribution will be :
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2