Answer: 9
Step-by-step explanation:
If cos(u)=4/5 and tan(v)=-12/5 while (3pi/2)
Answer:
Step-by-step explanation:
This is an incomplete question
an electronics manufacturer has 175 capacitors and the same
question 1: The bank agrees to give you a loan of $4,000 with 1% simple interest over 2 years. How much will your monthly payments be?
question 2: The bank agrees to give you a loan of $3,000 with 2% simple interest over 1 year. How much will your monthly payments be?
Answer:
Its below
Step-by-step explanation:
1. 2000
2. 233
Which figure has line symmetry?
O A.
F
O B.
H
O C.
J
O D.
L
O E.
R
Answer:
??????
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
on Saturday, Jasmine used her cell phone for 36 minutes. on Sunday she used her cell phone for 18 minutes more than on Saturday. find the ratios of the number of minutes jasmine used her phone for on Saturday to the total number of minutes she used i for on Saturday and Sunday. express your answer in simplest form
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
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The starting line for a race in Pike is 2.4 miles from the finish line. On a map of the course, the starting and finish lines are 1 inch apart. What scale does the map use?
Explain how I solve it?
Answer:
The scale factor is 152,064:1
Step-by-step explanation:
Scaling
The real distance of a race track in Pike is 2.4 miles.
One mile is equivalent to 63,360 inches, thus 2.4 miles = 152,064 inches.
On a map, that very same distance is represented as 1 inch. Thus the scale factor is 152,064:1
This means every inch on the map is equivalent to 152,064 inches on the race track.
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years
Which number line correctly shows 4.5 - 2.5?
05
15 2
25
13
36
35
o
4:
35
3
05
0
251
15
053 65
15
26
3 35
+
15
K
-635-25.-2-15--050 051 522.5
Answer:
i can't make the line becaause of mobile problem but i have maked a table please compromis
Step-by-step explanation:
Table 1
Marks Frequency Cumulative Frequency
0-10 2 2
10-20 8 10
20-30 12 22
30-40 18 40
40-50 28 68
50-60 22 90
60-70
70-80 6
4 96
100
Table 2
Class (marks ) Frequency
11-15 2
16-20 3
21-25 3
26-30 5
31-35 6
36-40 6
41-45 3
46-50 2
Total 30
Table 3
Time (in min) Frequency
15 7
20 15
25 17
30 3
35 14
40 2
Table 4
31 42 49 25 29
40 36 24 29 30
40 46 38 34 26
24 22 39 40 21
Write a quadratic equation in standard form that has two solutions, 6 and - 8
James works in a flower shop. He will put 60 tulips in vases for a wedding. He must use the same number of tulips in each vase. The number of tulips in each vase must be greater than 1 and less than 10.
Answer: a. 1, 3, 5, 15
Step-by-step explanation:
If he needs to put an equal number of tulips in each vase he uses, the number of vases will have to be multiples of 15.
The multiples of 15 are;
1, 3, 5, and 15.
James can therefore put;
1 tulip in 15 vases3 tulips in 5 vases5 tulips in 3 vases 15 tulips in 1 vaseSolve for x and y
60°
у
Х
30°
73
Answer:
x=7
y=14
Step-by-step explanation:
this is a special 30-60-90 right triangle bc there is a right angle marker and a 60 degree and 30 degree angle
in 30-60-90 right triangles the short leg is x, the long leg is x√3, and the hypotenuse is 2x
it is given that the long leg is 7√3, and since the long leg equals x√3, then x equals 7
so the short leg, x, is 7 and since the hypotenuse is 2x, 2(7) =14
A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the number of points, p, the bowler scores also increased. The equation for the line of best fit for the data is p=25s+40. Estimate the number of strikes made by a bowler with 140 points.
Answer:
s = 4
Step-by-step explanation:
The equation for the line of best fit for the data is p=25s+40.
Where p is no. of points and s is no. fo strikes
We need to find the number of strikes made by a bowler with 140 points.
Put p = 140
p=25s+40
140 = 25s+40
Subtract 40 to both sides,
140-40 = 25s+40-40
100 = 25s
⇒ s = 4
So, there are 4 strikes made by a bowler with 140 points.
A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to find the number of kids and adults. Really need help!!
9514 1404 393
Answer:
24 kids30 adultsStep-by-step explanation:
If find that "substitution" works well for "mixture" problems like this. Usually, you will want to substitute for the lower-priced item, so that you're solving for the number of higher-priced items.
Let "a" and "k" stand for the number of adult and kid tickets, respectively.
a + k = 54 . . . . . . total number of tickets sold
8a +5k = 360 . . . total revenue
__
To substitute for k, we solve the first equation for k:
k = 54 -a
Now, we substitute that into the second equation:
8a +5(54 -a) = 360
3a = 90 . . . . . . . . . . . subtract 270 from both sides; collect terms
a = 30 . . . . . . . . . . . . divide by 3
k = 54 -30 = 24 . . . . . use the above formula for k
The number of kids was 24; the number of adults was 30.
Use the remainder theorem to determine if x = 4 is a zero of the following polynomial and find the quotient and the remainder
p(x) = x2 + 11x - 60
ОА.
Yes, x = 4 is a zero of the polynomial
The quotient is x + 15, and the remainder is 0.
ОВ.
No, x = 4 is not a zero of the polynomial
The quotient is x + 15, and the remainder is 0
OC Yes x = 4 is a zero of the polynomial.
The quotient is x + 7, and the remainder is 0
D
No, x = 4 is not a zero of the polynomial.
The quotient is x + 7, and the remainder is -88
Given:
The polynomial is
[tex]p(x)=x^2+11x-60[/tex]
To find:
Whether x = 4 is a zero of the given polynomial by remainder theorem and find the quotient and remainder.
Solution:
According to the remainder theorem, if (x-c) divides a polynomial p(x), then the remainder is p(c).
Divide the polynomial by (x-4) and check whether the remainder p(x)=0 at x=4.
Putting x=4 in the given polynomial, we get
[tex]p(4)=(4)^2+11(4)-60[/tex]
[tex]p(4)=16+44-60[/tex]
[tex]p(4)=60-60[/tex]
[tex]p(4)=0[/tex]
Since, remainder is 0, therefore, (x-4) is a factor of p(x) and x=4 is a zero.
Now, on dividing p(x) be (x-4) we get
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x^2+15x-4x-60}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{x(x+15)-4(x+15)}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=\dfrac{(x+15)(x-4)}{x-4}[/tex]
[tex]\dfrac{x^2+11x-60}{x-4}=x+15[/tex]
The quotient is x+15 and remainder is 0.
Therefore, the correct option is A.
Create an algebraic equation for the word problem below.
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.
Answer:
p = 5 + 2dStep-by-step explanation:
Let the day number be d and the price after d days be p, then required equation is:
p = 5 + 2dQuestion 2 of 10
ALMN is a right triangle.
M
34
16
2
30
N
A. True
B. False
SUBMIT
PREVIOUS
Please help!
Answer:
This is true
LMN is a right triangle
On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin of theta
Answer:
2/√5
Step-by-step explanation:
A unit circle is a circle of unit radius. This means that the radius of a unit circle is 1.
Let a represent the horizontal distance. Therefore the vertical distance = twice the horizontal distance = 2a
We can get the hypotenuse using Pythagoras theorem:
hypotenuse² = a² + (2a)²
hypotenuse² = a² + 4a²
hypotenuse² = 5a²
hypotenuse = √5a²
hypotenuse = a√5
sin(θ) = opposite / hypotenuse
sin(θ) = vertical distance / hypotenuse
sin(θ) = 2a / a√5
sin(θ) = 2/√5
Hi! Ok so my little sister needs help with math but I have no idea what to do.
"A recipe makes 6 2/3 cups of pancake batter. If you use 5/6 of a cup of batter for one pancake, how many pancakes can you make?"
I know the answer is 8, but what are the units?
Answer:
Cups are the unit
Step-by-step explanation:
If you were using cups so 8 pancakes you use 5/6 of a cup per pancake
(a unit is just what you use to measure something, so cups, liters, or even cm or meters)
Today only, every sweatshirt is $4.25 less than normal price. Right now if you buy 5 sweatshirts, the total cost will be $106.25. What's the normal price of the sweatshirt?
Answer:
Step-by-step explanation:
The normal price of the sweatshirt will be $21.50 because if you divide $78.75 by 5 you get $15.75 for each sweatshirt then you add the $5.75 with will make the original price $21.50
Answer:
25.50
Step-by-step explanation:
You take 106.25 divided by 5 and you get the marked down price of one sweatshirt which is 21.25 so then you add 4.25 to that price and get 25.50.
what answer is it GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
The product mean multiplication
8(4x+6) -58 = 2(7x+31) helpppppppppppppppp
Step-by-step explanation:
8(4x+6) -58 = 2(7x+31)
32x + 48 - 58 = 14x + 62
32x -10 = 14x +62
32x - 14x = 62+10
18 x = 72
x = 72 /18
x = 4
plz mark my answer as brainlist plzzzz vote me also so ....plzzzz
Paula wants to buy 3 shirts and 2 belts. The shirts cost $16.89 each, and the belts cost $8.97 each. Paula has $45. Which of these amounts is the best estimate of how much more money Paula needs in order to buy the shirts and belts? A) $16 B) $10 C) $24 D) $5
Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?
Answer:
15 friends
Step-by-step explanation:
37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.
What is the solution to the system of equations below?
4x - 7y = -2
8x - 14y = -4
Answer ?????
Point Form:
(x,2/7+4x/7)
Equation Form:
x=x,y=2/7+4x/7
help me with this please
Answer:
A baseball diamond is a square with sides of 90 feet. What is the distance to the nearest tenth of a foot between home and second base?
Step-by-step explanation:
127.3 feet This problem requires the use of pythagoras theorem. Ignore the face that it's a baseball diamond. All you're concerned with is that you have a square that's 90 feet per side and you want to know what the length of the diagonal. So you have a right triangle with 2 sides of 90 feet each and you want to know the length of the hypotenuse. The formula is C^2 = A^2 + B^2 Both A and B are 90, so plugging them into the formula gives C^2 = 90^2 + 90^2 = 8100 + 8100 = 16200 So C^2 = 16200 Take the square root of both sides C = 127.2792 Round to the nearest tenth, giving C = 127.3
A particular lawn mower is on sale at two different stores. The original price at both stores was $130. Watson’s Garden Shop is advertising the mower for 50% off. Hartman’s Home Center reduced the mower 40%, and then took an additional 15% off the reduced price. Which lawn mower is the better deal?
Answer:
130$
Step-by-step explanation:
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Number of Games Played
20%
20%
20%
20%
20%
16
18
20
24
Answer:
I think the answer is 20
Answer:
C: 20
Step-by-step explanation:
If 3 tan A =cot A and A is an acute angle find angle A
Please, I need detailed explaination
Answer:
A is 30 degrees.
Step-by-step explanation:
cot A = 1/ tan A
Therefore 3 tan A = 1 / tan A
3 tan^2 A = 1
tan^2 A = 1/3
tan A = 1 /√3 is A is acute.
A = 30 degrees.
This is about trigonometric identities.
A = 30°
In trigonometric identities, we know that;Tan A = sin A/cos A
Cosec A = 1/sin A
Sec A = 1/cos A
Cot A = 1/tan A
Now, we are given;3 tan A = cot A
But we know from above that Cot A = 1/tan A
Thus;
3 tan A = 1/tan A
Rearranging to get;
(tan A)² = 1/3
tan A = √(1/3)
tan A = 1/√3
Now, from surd form of special angles, we know that;sin 30° = cos 60° = 1/2
sin 60° = cos 60° = (√3)/2
sin 45° = cos 45° = 1/√2
tan 30° = 1/√3
tan 60° = √3
tan 45° = 1
Comparing tan A = 1/√3 with the surd forms listed above, we can see that;A = 30°
A is said to be an acute angle which means it is less than 90° and so it is correct.
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Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
