Answer:
Step-by-step explanation:
Complement to 60° = 30°
cos(30°) = sin(60°) = 0.866
Answer:
0.866.
Step-by-step explanation:
We use the identity
sin x = cos (90-x)
So the cosine of the complementary angle is also 0.866.
A bike trail is drawn on a coordinate system. Each end of the trail is an x-intercept. The height of the trail is modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers. How many meters is the horizontal distance of the trail?
Answer:
4metres
Step-by-step explanation:
Given the height of the trail modeled by the function h(x) = -0.1x^2 - 0.3x +2.8 , where x is the horizontal distance in kilometers
The horizontal distance occurs at the x intercept i.e at h(x) = 0
Substitute
0 = -0.1x^2 - 0.3x +2.8 ,
Multiply through by -10
0 = x^2 + 3x - 28
x^2 + 3x - 28 = 0
Factorize
x^2 + 7x - 4x - 28 = 0
x(x+7) - 4 (x+7) = 0
(x-4)(x+7) = 0
x-4 = 0 and x+7 = 0
x = 4 and -7
Since the danced cannot be negative, hence the horizontal distance of the trail is 4m
5. Sarah has 5 less dollars than Jessica. Sarah has 17 dollars.
A: Write an equation that describes this solution.
B. What is the solution to the equation?
Answer:
A. J = 17 + 5
B. J = 22
Jessica has $22.
Answer:
22
Step-by-step explanation:
17+5 because the 5 represents how many more do jessica got and 17 means how much sarah got it total
can someone answer these question
Answer:
y=5
Step-by-step explanation:
Given x=1, the equation would come to be y = 5^1, or y equals 5 to the first power. You'll need to focus on the 5^1, 5 to the first power is 5, that's your answer.
Slope intercept form of 4x+4y=-32
Answer:
y = - x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
4x + 4y = - 32 ( subtract 4x from both sides )
4y = - 4x - 32 ( divide all terms by 4 )
y = - x - 8 ← in slope- intercept form
Answer:
x+y=-8
Step-by-step explanation:
-32=4x+4y
-4y=4x+32
y=(4x+32)/-4
y=-x-8
x+y=-8
Now comparing to slope intercept form
y=mx+c,we get
slope =1
y intercept =1
y=-8
A shirt that normally costs $19.99 is on sale for 15% off. How much does the shirt cost after the discount? $22.99 $19.99 $16.99 $24.50
Answer:
C. $16.99
Step-by-step explanation:
The shirt cost after the discount will be $16.99. thus option C is correct.
How to calculate the third party discounts?Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.
Thus, we get:
Third party discount = Maturity value × R × T (R in decimal form).
We have been given that a shirt that normally costs $19.99 is on sale for 15% off. we are asked to find the discount on the shirt.
Therefore,
19.99 x 15/100
19.99 x 0.15 = 2.99
Then subtract from the total amount;
19.99 - 2.99 = 16.99
Therefore, the shirt cost after the discount will be $16.99. thus option C is correct.
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If the cost of 12 pens is Rs.108, then what is the cost of 5 pens!!!
-Please write the full solution!
Answer:
45 rupees
Step-by-step explanation:
If the cost of 12 pens is 108 rs, then we need to find the cost for 1 pen. We can divide the 108 rupees by 12 to find the cost per pen. We get 9; now we know that each pen costs 9 rupees and we have 5 pens so 9 times 5 is 45 rupees.
Phil made a number line showing the multiples of 3/6...
What is the product 2 x 3/6?
the answer would be 6/6 because they want you to multiply 2 x 3/6
The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree
The answer is D. 115°
Answer:
The answer is also 115 on USA test prep.
What is the principal which would amount to $6900 in 3 years at 5% simple interest per annum?
Answer:
$6000
Step-by-step explanation:
accumulated amount = A = PI
A = $6900
Let P = x
6900 - I = x
I = (x)(0.05)(3yrs) = 0.15x
6900 - 0.15x = x
Add
6900 = 1.15x
Divide, solve for x
x = 6000
help I will give brainiest!!!!
Answer:
20.4 feet
Step-by-step explanation:
6+ 3x = 15 with work!
Answer:
X=3
Step-by-step explanation:
Rearrange terms
6+3=15
3+6=15
Subtract from both sides of the equation
3+6=15
3+6−6=15−6
Simplify
Subtract the numbers
Subtract the numbers
3=9
x=3
X = 3.
Step-by-step explanation:
1) Subtract 6 from both sides.
[tex]3x = 15 - 6[/tex]
2) Simplify 15 - 6 to 9.
[tex]3x = 9[/tex]
3) Divide both sides by 3.
[tex]x = \frac{9}{3} [/tex]
4) Simplify 9/3 to 3.
[tex]x = 3[/tex]
So, therefor, 5he answer is x=3.
Answer for ( brain list, thanks, 5 star review)
Answer:
Your answer is 4.99
Step-by-step explanation:
259.48/52 will take some work if you use long division, but eventually you get your answer of 4.99
40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheaper ticket. please i need this for an assignment
Answer:
34
Step-by-step explanation:
$1.25 = 125 cents.
$42 = 4200 cents
Tickets sold at 75 cents = x
Tickets sold at 125 cents = y
x + y = 40
75x + 125y = 4200
Multiply the first equation by 75
75x + 75y = 3000
75x + 125y = 4200
Subtract the the second equation from the first.
75x + 75y = 3000
- 75x + 125y = 4200
-------------------------------
0 - 150y = - 1200
Divide both sides by - 150
-150y/-150 = -1200/-150
y = 8
Substitute y = 8 into the first equation
x + y = 42
x + 8 = 42
x = 42 - 8
x = 34
34 tickets were sold for 75 cents
8 tickets were sold for $1.25
original price is $150 markdown is 30% what is the retail price
Answer:
$105
Step-by-step explanation:
0.30×150=45
150-45=105
what is a circumference
Answer:
25.13
Step-by-step explanation:
2 pie multiply radius
2 pie multiply 4
( I think so)
I hope this helps
Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describes the faces of the pyramid?
A)one square and three triangles
B)one square and four triangles
C)three squares and one triangle
D)three squares and two triangles
Answer:
D. One square and four triangles
Step-by-step explanation:
Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces
Square pyramid has a square base.
each edge of the square base joins at the top of the vertex to make a pyramid
The sides of the pyramid is a triangle
the square has 4 sides, so four triangle on the sides of the pyramid
Hence one square and four triangles forms a square pyramid
Answer:
The answer is A). one square and three triangles
Step-by-step explanation:
If i'm incorrect pleas let me know.
A Sea-doo rental agency charges $100 as a flat rate, and $50 for every hour rented. Complete a table of values for this scenario. Then, draw a graph of this scenario with appropriate labels.
Answer:
so if it was one hour it would be 100+50
2 hours= 100+100
3=100+ 150
and so on
Step-by-step explanation:
What is the coefficient of x² -14x + 49=0 :
Wich one? :
A. a=2, b=-14, c=49
B. a=1, b=-14, c=49
C. a=-14, b=49, C=1
D. a=49, b=-14, C=1
E. a=1, b=49, C=-14
I need your help
what is the sum of the measures of the interior angles of a hexagon
Answer:
Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.
help if ya can please!!
Answer:
D
Step-by-step explanation:
Find the volume of the cone
Answer:
formulae : 1/3 × area of base × height
= 1/3 × 6 × 8
= 1×2×8
=16
Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?
Algebra 2!!
The equation of the piecewise function f(x) is below. What is the value of f(3)?
Answer:
5
Step-by-step explanation:
Ask your self which equation you should use. Since it says F(3) then we have to find an equation that would fit this correctly. For example if we look at -X^2, X<-2 we could see that 3 is clearly not less than -2, leading to the conclusion that this is not the right equation.. If you look at the last equation it says that x has to be greater/equal to 0 which is true. So then we are left with the equation...
F(3)=x+2
F(3)=3+2
F(3)=5
Which are solutions of the equation (x+5)(x-3)=0
Answer:-5 and 3
Step-by-step explanation:-5 +5 is 0 and 0 times any number is 0 also 3-3 is 0 and 0 times any number is 0
What is the volume of the rectangular prism?
Answer:
There isn't any picture, so I'm assuming that the volume is l*w*h. Just multiply the three dimensions.
Step-by-step explanation:
What is the measure of 2U?
4
4
70°
O A. 70
O B. 74
O C. Cannot be determined
O D. 66
Answer:
A. 70°
Step-by-step explanation:
Since, TV = TU = 4
[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]
find the 9th term for 150,60,24
Answer:
a(9) = 150*(0.4)^8 = 0.098304
Step-by-step explanation:
This is a geometric sequence, because each new term is 0.4 times the previous term.
The general formula for a geometric sequence is a(n) = a(1)*r^(n - 1). Here, with a(1) = 150 and r = 0.4, we have:
a(n) = 150*(0.4)^(n - 1), and so
a(9) = 150*(0.4)^8 = 0.098304
Find the area of triangle STU
Help me
Answer:
12cm cubed
Step-by-step explanation:
A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point so just plug those in the formula hopefully its correct
Step-by-step explanation:
The height is 5
and the base is 7
area of triangle = bxh
= 7 x 5
= 35 cm2
A geologist has ten rock samples in a bag and is going to use eight for class. What is the probability that the first three pulled out will be hematite, bauxite, and coal in that order, assuming all three are among the rock samples?
Answer:
1/56 chance
Step-by-step explanation:
3/8 x 2/7 x 1/6 = 1/56
Two waiters at a cafe each served 10 large fruit smoothies. The amount in each large smoothie is shown below. Witch Waiter's smoothies showed less variability
Answer:
Waiter’s B Large Smoothies showed less variability.
Step-by-step explanation:
First, we have to find the mean for Waiter A’s and Waiter B’s Large Smoothies.
1) Mean
Waiter A
19.1 + 20.1 + 20.9 + 19.6 + 20.9 + 19.5 + 19.2 + 19.4 + 20.3 + 20.9 = 199.9
199.9 / 10 = 19.99
Waiter B
20.1 + 19.6 + 20.0 + 20.5 + 19.8 + 20.0 + 20.1 + 19.7 + 19.9 + 20.4 = 200.1
200.1 / 10 = 20.01
Now, we have to use the Mean Absolute Deviation (MAD) to find which waiter’s smoothies showed less variability.
Waiter A
I19.99 - 19.1I = 0.89
I19.99 - 20.1I = 0.11
I19.99 - 20.9I = 0.91
I19.99 - 19.6I = 0.39
I19.99 - 20.9I = 0.91
I19.99 - 19.5I = 0.49
I19.99 - 19.2I = 0.79
I19.99 - 19.4I = 0.59
I19.99 - 20.3I = 0.31
I19.99 - 20.9I = 0.91
0.89 + 0.11 + 0.91 + 0.39 + 0.91 + 0.49 + 0.79 + 0.59 + 0.31 + 0.91 = 6.3
6.3 / 10 = 0.63
Waiter B
I20.01 - 20.1I = 0.09
I20.01 - 19.6I = 0.41
I20.01 - 20.0I = 0.01
I20.01 - 20.5I = 0.49
I20.01 - 19.8I = 0.21
I20.01 - 20.0I = 0.01
I20.01 - 20.1I = 0.09
I20.01 - 19.7I = 0.4
I20.1 - 19.9I = 0.2
I20.1 - 20.4I = 0.3
0.09 + 0.41 + 0.01 + 0.49 + 0.21 + 0.01 + 0.09 + 0.4 + 0.2 + 0.3 = 2.2
2.2 / 10 = 0.22
Now, we just have to compare those numbers.
0.63 > 0.22
So, Waiter B’s smoothies show less variability.