Step-by-step explanation:
[tex]\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180[/tex]
But we know that
[tex]\cos 90 = \cos 270 = \sin 180 = 0[/tex]
and
[tex]\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}[/tex]
so this leaves us with just
[tex]\sec^2 45 \sin 30 = (\sqrt{2})^2 \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}[/tex]
ASAP show work pleaseee for all of them. 20pst
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful...
i am a number beetween 20 and 30 who is divisible by 2 4 and 7. I am an even number as well who am I?
Answer:
28
Step-by-step explanation:
28/2=14
28/4=7
28/7=4
28 is an even number
Step-by-step explanation:
28 is the answer
28 is a number between 20 and 30
and divisible by
28/2=14
28/4=7
28/7=4
what is 5a +14=3(a +2)
Answer:
a=-4
Step-by-step explanation:
See image below:)
Hamburger Heaven is having a lunch special where customers buy one -pound cheeseburger and get one free. If they set aside pounds of meat, how many -pound cheeseburgers can they make?
Answer:
hey um how many pounds of meat do we know that yet?
Answer:
49 hamburgers
pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.
Answer:
13510 ft
Step-by-step explanation:
I have attached a triangle diagram to depict this situation.
From the diagram, we see that distance between A and B is denoted by x.
Now, from trigonometric ratios in this type of triangle, let's first find y.
6400/y = tan 36
y = 6400/tan 36
y = 8808.84 ft
Now, we can find x from;
6400/(8808.84 + x) = tan 16
6400/tan 16 = 8808.84 + x
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
The distance the plane traveled from point A to point B is 13510 ft
Calculation of the distance:Here we assume the distance between A and B should be x.
Now the y value should be
[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]
y = 8808.84 ft
Now, we can find x
[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]
22319.452 = 8808.84 + x
x = 22319.452 - 8808.84
x ≈ 13510 ft
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What is the approximate value of the y intercept and what does it mean in this example?
Answer:
Step-by-step explanation:
By using the utility for the line of best fit,
Equation of the line of best fit will be,
y = 1.5x + 1.32
Here, y - intercept of the line = 1.32
Here, y-intercept represents the amount of bean production when the level of water applied was zero.
5+p=10 what does p equal
Answer:
p=5
Step-by-step explanation:
5+p=10
Hence, p=10-5
=5
Answer:
5
Step-by-step explanation:
1. Move the constant to the right- hand side and change its sign.
p=10-5
2. Subtract the numbers
p=10-5
the answer is 5
Do u know this question
Answer:
a rectangle
Step-by-step explanation:
because 2 sides are the same the other 2 arent it has four sides with straight angles
Answer:
B.
Step-by-step explanation:
A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?
(a) ft/s
(b) 1ft/s
Step-by-step explanation:Given equation;
y = (- 16x² + 50x + 3)ft -------------(i)
Where;
y is measured in feet(ft)
x is measured in seconds(s).
(a) The rate of change of y with respect to x is found by dividing the total change in y by the total change in x. i.e
Δy / Δx
Where;
Δy = y₂ - y₁
Δx = x₂ - x₁
∴ Δy / Δx = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] --------------(ii)
Since y is measured in feet, Δy will also be measured in feet.
Also, since x is measured in seconds, Δx will also be measured in seconds.
Therefore, the rate of change of y with respect to x (Δy / Δx) will be measured in feet per second (ft/s)
(b) The rate of change of y between x = 0 and x = 2 can be found by using equation (ii)
Where;
y₂ is the value of y at x = 2 found by substituting x = 2 into equation (i)
y₁ is the value of y at x = 0 found by substituting x = 0 into equation (i)
=> y₂ = - 16(2)² + 50(2) + 3 = 39
=> y₁ = - 16(1)² + 50(1) + 3 = 37
Now, substitute the values of y₂, y₁, x₂ and x₁ into equation (ii)
Δy / Δx = [tex]\frac{39 - 37}{2 - 0}[/tex]
Δy / Δx = [tex]\frac{2}{2}[/tex]
Δy / Δx = 1
Therefore, the rate of change of y is 1 ft/s
Rhode Island Red chicks cost $3.20 each and Buckeye chicks cost $3.44 each.
A farmer buys 4 Rhode Island Red chicks for every 3 Buckeye chicks.
He buys 70 chicks in all. What is the total cost of the farmer's chicks?
Show your work
Answer:
Step-by-step explanation:
Rhode Island Red chicks = 3.20 Dollars
Buckeye chicks = 3.44 Dollars
For every3 times as 3.44 Dollars, The farmer buys 4 times as 3.20 Dollars so simply Multiply until you reach 70 S0..
3.44 x 3
= 10.32
3.20 x 4
= 12.8
With 7 chicks, combine the prices of the chicks and multiply it by 10.
= 12.8 + 10.32
= 23.12
= 23.12 x 10
= 231.2
So 231.2 Dollars were spent for 70 chicks`in total.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The total cost of farmers' chicks is $231.2
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
Total chicks = 70
4 Rhode Island Red chicks = 3 Buckeye chicks.
Multiply 10 on both sides.
40 Rhode Island Red chicks = 30 Buckeye chicks.
We see that,
40 + 30 = 70
Now,
Rhode Island Red chicks cost = $3.20
Buckeye chicks cost = $3.44
Now,
= 40 x 3.20 + 30 x 3.44
= 128 + 103.2
= $231.2
Thus,
The total cost of farmers' chicks is $231.2
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Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after driving x miles. The amount of gas in the van’s gas tank after driving x miles is represented by the equation y=- 1/5x + 31. Which vehicle uses less gasoline per mile? How many miles must the vehicles travel for the amount of gas in each tank to be the same?
Answer:
The car uses less gas
They use the same amount of gas after [tex]\frac{640}{7}[/tex] miles
Step-by-step explanation:
Given
The table represents the car mileage
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
First, calculate the car's slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)[/tex]
So, we have:
[tex]m = \frac{10.5 - 13.5}{180 - 60}[/tex]
[tex]m = \frac{-3}{120}[/tex]
[tex]m = -\frac{1}{40}[/tex]
Calculate the equation using:
[tex]y = -\frac{1}{40}(x - 60)+13.5[/tex]
[tex]y = -\frac{1}{40}x + 1.5+13.5[/tex]
[tex]y = -\frac{1}{40}x + 15[/tex]
[tex]m = -\frac{1}{40}[/tex] implies that for every mile traveled, the car uses 1/40 gallon of gas
Also:
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
By comparison to: [tex]y = mx + b[/tex]
[tex]m = -\frac{1}{5}[/tex]
This implies that for every mile traveled, the van uses 1/5 gallon of gas.
By comparison:
[tex]1/40 < 1/5[/tex]
This means that the car uses less gas
Solving (b): Distance traveled for them to use the same amount of gas.
We have:
[tex]y = -\frac{1}{5}x + 31[/tex] --- The van
[tex]y = -\frac{1}{40}x + 15[/tex] --- The car
Equate both
[tex]-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15[/tex]
Collect like terms
[tex]\frac{1}{40}x -\frac{1}{5}x =-31 + 15[/tex]
[tex]\frac{1}{40}x -\frac{1}{5}x =-16[/tex]
Take LCM
[tex]\frac{x - 8x}{40} = -16[/tex]
[tex]\frac{- 7x}{40} = -16[/tex]
Solve for -7x
[tex]-7x = -640[/tex]
Solve for x
[tex]x = \frac{640}{7}[/tex]
simplify 2p/3 ×5p/12
Answer:
After simplify answer will be :[tex]\frac{5p}{18}[/tex]
Step-by-step explanation:
Given data:
[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]
Now,
[tex]\frac{10p}{36}[/tex]
Final answer would be :
[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:
[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]
Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So
[tex]P(B|A) = \frac{12}{51}[/tex]
What is the probability of choosing a king and then, without replacement, a face card?
[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]
0.0181 probability of choosing a king and then, without replacement, a face card.
Find the different
5-2
Answer:
3
Step-by-step explanation:
5-2=3 ¯\(◉‿◉)/¯
hope it may help you
mark as brainlist please!!
¯
a walking path across a park is repersented by the equation y=-2x-7. A new path will be built perpendicular to this path the paths will intercept at the point (-2,-3) identify the equation that represents the new path
Answer:
y + 3 = (1/2)(x + 2)
Step-by-step explanation:
The slope of the original path is -2. Any new path perpendicular to this one will have a slope which is the negative reciprocal of -2, which here is 1/2.
Use the point-slope formula y - k = m(x - h):
y - (-3) = (1/2)(x - (-2)), or
y + 3 = (1/2)(x + 2) represents the new path.
Mason randomly chooses a card from a standard deck of playing cards. What is the probability that it is not an ace, given it is a red card
Answer:
there are 52 cards in a deck so the chance is a red card (or not a red card) is 26 out of 52.
Step-by-step explanation:
The solution is 12/13
The probability that the selected card is not an ace but a red card is 12/13
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of the selected card is not an ace but a red card be P
Now , the equation will be
Mason randomly chooses a card from a standard deck of playing cards
So , the probability that the card is a red card is
There are 26 red cards in the deck of 52 cards
So , the probability of selecting a red card = 26/52
Now , from the 26 red cards , the probability that the card is not an ace would be = 26 - ( Ace of hearts + Ace of diamonds )
And ,
The probability of the selected card is not an ace but a red card P = 24/26
The probability of the selected card is not an ace but a red card P = 12/13
Therefore , the value of P is 12/13
Hence , the probability is 12/13
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Gregorio made 25 quart of hot chocolate. Each mug holds 1/10 quart. How many
mugs are used for the hot chocolate?
Answer:
4 mugs of hot chocolate
Step-by-step explanation:
So, we must find out how many mugs of hot chocolate we can make.
Then we set up a ratio of amount of chocolate to mugs such as
(2/5) / (1/10) = (2/5)(10/1) = 20/5 = 4 mugs of hot chocolate
Hope this answer helps you :)
Have a great day
Mark brainliest
Help help help help
answer: 116⁰
z⁰ for y⁰ because it's
equal
3x+2y=4 and -2x+2y=24
Answer:
1x= 28
y= v7vub8b9nf7v6v
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
Answer:
28 + 12xStep-by-step explanation:
Given,
Sides of a square is = 7 + 3x
Therefore,
Perimeter of a square = 4 × side
= 4 × (7 + 3x )
= 28 + 12x (Ans)
A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 30 cm, and the bicycle wheel
makes 3 full rotations before stopping.
How long is the trace of water left on the floor?
Round your answer to the nearest cm.
Answer:
The trace of the water left on the floor is 566 cm.
Step-by-step explanation:
The bicycle wheel has a circular shape, therefore;
1 revolution is the same as the circumference of the wheel. So that 3 revolutions is the same as multiplying the circumference of the wheel by 3.
circumference = 2[tex]\pi[/tex]r
where r is the radius of the wheel (r = 30 cm).
Thus,
circumference = 2 x [tex]\frac{22}{7}[/tex] x 30
= [tex]\frac{1320}{7}[/tex]
circumference = 188.57 cm
3 revolutions = 3 x 188.57
= 565.71 cm
Therefore, the trace of the water left on the floor is 566 cm.
If a triangle has side lengths a, b, and c, and if a^2 + b^2 = c^2, then the converse of the Pythagorean theorem says that the triangle is a(n)
A. equiangular triangle
B. scalene triangle
C. equilateral triangle
D. right triangle
Write the product in its simplest form : 6c • (-7c^6)
Answer:
Step-by-step explanation:
(-7*6)(c*c^6) = -42c^7
PLEASE HELP!! WILL GIVE BRAINLEIST FOR AN ACTUAL Answer
72/360 = x/10pi
1/5 = x/10pi
x = 2pi
6.3 cm
Define the word coeffcent
Answer:
Step-by-step explanation:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
or:
a multiplier or factor that measures some property.
Select the TRUE statement for completely random design.
a.)The experimental units are assigned randomly to exactly one control group and one treatment group.
b.)The experimental units are assigned randomly to one or more control groups and exactly one treatment group.
c.)The experimental units are assigned randomly to one or more control groups and one or more treatment groups.
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups.
Answer:
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups
Step-by-step explanation:
Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups
A rope with a length of 3.5 meters is tied from a stake in the ground to
the top of a tent. It forms a 17 degree angle with the ground. How tall
is the tent?
Answer: Approximately 1.0233 meters
Round this however you need to
====================================================
Work Shown:
Refer to the drawing below.
sin(angle) = opposite/hypotenuse
sin(17) = x/3.5
3.5*sin(17) = x
x = 3.5*sin(17)
x = 1.02330096652958
x = 1.0233
Be sure that your calculator is in degree mode.
Please help me! I will give you Brainlist if you get it right!
Answer:
B
Step-by-step explanation:
Have a nice day
Answer:
B as well
Step-by-step explanation:
As you can work out the area of rectangle by l ×w
which is 18×36 =648
and you can also work out the area of a segment which is
[tex]\pi \times {r}^{2} \div 2[/tex]
so pi ×18^2÷2 and then add 648 you get 1156.9.
Easy please help me with this assignment
Step-by-step explanation:
y=x may be
may it helped u ....
find the additive inverse and multiplicative inverse of a 5
Answer:
ans: additive inverse is -5
multiplicative inverse is 1/5
Step-by-step explanation:
adding what value to 5 makes it 0 i.e
5 + (- 5)= 0 ( so additive inverse is -5)
multiplying what value to 5 makes it 1 i.e
5×( 1/5)=1 ( so multiplicative inverse is 1/5)