Answer:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos\theta =-\frac{5}{13}\text{ where $\theta$ is in QII}[/tex]
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using the Pythagorean Theorem, solve for the opposite side (we can ignore the negative for now):
[tex]o=\sqrt{13^2-5^2}=12[/tex]
And since θ is in QII, sine is positive, and cosine and tangent are both negative.
Sine is the ratio of the opposite side to the hypotenuse. Therefore:
[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]
Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)
Find the distance between (1, 3) and (5, 6)
a) 3
b) 4
c) 5
d) 6
Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)
Answer:
Let's see each case.
a) 2
We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}
In our case, we have 240,720
We can see that it ends with a zero, so it is divisible by 2.
b) 3
A number is divisible by 3 only if the sum of its digits is a multiple of 3.
For our number, the sum of the digits gives:
2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15
15 is a multiple of 3, then 15 is divisible by 3.
then 240,720 is divisible by 3.
c) 4
A number is divisible by 4 if the last two digits form a number that is divisible by 4.
In this case, the last two digits are 2 and 0, so they form the number 20
and we know that 20 = 4*5 is a multiple of 4.
then 20 is divisible by 40
then 240,720 is divisible by 4
d) 5
A number is divisible by 5 if it ends in 0 or 5.
Our number ends in a 0, so it is divisible by 5.
e) 6
A number is divisible by 6 if it is divisible by 2 and 3.
We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.
f) 8
A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.
in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.
In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.
The last two digits form the number 20
if we add 4, we get:
20 + 4 = 24
And 24 is a multiple if 8: 8*3 = 24
Then 24 is divisible by 8, then 240,720 is divisible by 8.
g) 9
Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.
We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9
h) 10
A number is divisible by 10 if the last digit is a zero.
In this case the last digit is a zero, so 240,720 is divisible by 10.
i) 11
A number is divisible by 11 if:
starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.
Then for 240,720 we have:
2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7
-7 is not divisible by 11, so our number is not divisible by 11
Solve the system of equations: y=x-3. y=x^2+2x-4
Which system is equivalent to
Answer:
We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:
Let’s multiply y = x-2 by 2
2y=2x-4
A system equivalent to this one is
y = -2x^2 (this remains the same)
2y= 2x-4
ASAP BRAINLIEST IF RIGHT 30 POINTS NO NEED FOR WORK
At a restaurant, diners earn 1 point for every $2 they spend, plus 25 bonus points on their first meal. Function f represents the number of points earned as a function of the total amount spent x. Which function represents the total amount spent as a function of the number of points earned?
A. f−1(x) = 2x − 50
B. f−1(x) = 2x + 50
C. f−1(x) = 0.5x − 50
D. f−1(x) = 0.5x + 50
Given that AABC~ ADEF, solve for x.
Answer:
D.7
because in similar triangle the corresponding sides are proportionalStep-by-step explanation:
30/5 =42/X
Criss cross and X=(42X5)/30=7
The value of x will be,
⇒ x = 7
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangles ABC and DEF are similar.
Now, By definition of proportionality we get;
⇒ AB / BC = DE / EF
⇒ 30 / 42 = 5 / x
⇒ 30x = 5 × 42
⇒ 30x = 210
⇒ x = 210 / 30
⇒ x = 7
Thus, The value of x will be,
⇒ x = 7
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Need Help ASAP. Will give Brainliest.
Answer:
-6
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis which in this case is -6
Hope this helps
Which of the following rational functions is graphed below?
100
- 10
10
O A. Ax) = 3x=1
X-1
O B. F(x) =
(x - 3)(x + 1)
O C. F(X) =
(x − 3)(x + 1)
O D. F(x) = (x=3**
(+ 1)
Answer:
D
Step-by-step explanation:
D
The correct function of the graph is,
⇒ f (x) = (x - 1) / (x - 3) (x + 1)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function is shown.
Here, The graph is not defined at x = 3, and x = - 1.
Hence, By option;
The correct function of the graph is,
⇒ f (x) = (x - 1) / (x - 3) (x + 1)
Thus, The correct function of the graph is,
⇒ f (x) = (x - 1) / (x - 3) (x + 1)
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
The coefficient of "x" in 7-15xz is
Answer:
-15
Step-by-step explanation:
7-15xz
hi can you answer this question thank you
9514 1404 393
Answer:
2 < x < 24.937
Step-by-step explanation:
Conceptually, the values of x are allowed to be between those that make angle ABC one of zero measure and that make angle ABD a straight angle.
That is ...
0 < 2x-4 < 180 -86
4 < 2x < 98
2 < x < 49
__
However, some study of this geometry convinces us that the largest that angle ABC can be is one that makes ∆ABC isosceles. In that case, AB = CB = DB, and B is the center of the circle through points A, C, and D. Trigonometry can be used to find the value of x in that case.
The radius CB of circle B must be such that the bisector of angle CBD intersects the midpoint of CD:
CB·sin(86°/2) = 14/2
Similarly, the bisector of angle ABC will meet the midpoint of AC:
CB·sin((2x -4)°/2) = 8/2
Equating expressions for CB gives ...
7/sin(43°) = 4/sin((x-2)°)
(x -2)° = arcsin((4/7)sin(43°))
x° = 2° +arcsin(4/7·sin(43°))
x ≈ 24.937
So, a revised upper limit on x puts the range of possible values as ...
2 < x < 24.937
12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,
Answer:
[tex]\dfrac{x}{2}=25.5[/tex]
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
[tex]\dfrac{1}{2}x=25.5[/tex]
or
[tex]\dfrac{x}{2}=25.5[/tex]
Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].
1. Solve the quadratic by taking square roots.
3x2 - 7 = 140
Answer:
[tex]x=-7, \\x=7[/tex]
Step-by-step explanation:
Given [tex]3x^2-7=140[/tex], our goal is to isolate [tex]x[/tex].
Start by adding 7 to both sides:
[tex]3x^2=147[/tex]
Divide both sides by 3:
[tex]x^2=49[/tex]
Take the square root of both sides:
[tex]x=\pm \sqrt{49}=\pm 7[/tex]
Recall that [tex]7^2=(-7)^2=49[/tex].
Thus, we have:
[tex]x=-7, \\x=7[/tex]
If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will be used
Answer:
The answer is below
Step-by-step explanation:
Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:
The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x
25% of 1000 ml = 70% of x + 5% of (1000 - x)
25000 = 70x + 5000 - 5x
Simplifying gives:
65x = 25000 - 5000
65x = 20000
x = 308 ml
Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the questions with their solutions. 5 80 6 200 8 150 Joshua has 11 baskets of apples. In total, he has 88 apples. How many apples are there in 1 basket? arrowRight Mindy can type 40 words per minute. How many words can she type in 5 minutes? arrowRight Jessica had 20 balloons, which she distributed among 4 of her friends. How many balloons did each friend get? arrowRight Max can make 1 greeting card in 5 minutes. How many greeting cards can he make in 30 minutes? arrowRight
Answer:
1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6
Step-by-step explanation:
1.)
Number of apple baskets = 11
Total number of apples = 88
Number of apples per basket = 88 / 11 = 8
2).
Number of words per minute = 40
Number of words that can be typed in 5 minutes :
40 * 5 = 200 words
3.)
Number of balloons = 20
Number of friends = 4
Number of balloons per friend = 20/4 = 5
4.)
Time required to make 1 greeting card = 5 minutes
Number of greeting cards that can be made in 30 minutes :
30 minutes / 5 minutes = 6 greeting cards
The ratio of pennies: nickels is proportional to the ratio of nickels: dimes, and to the ratio of dimes: quarters. If you have one penny and two nickels, how much money do you have?
Answer:
11 cents
Step-by-step explanation:
1 penny = 1 cent
1 nickel = 5 cents
2×1 nickel = 10 cents
1 penny + two nickels
= 1 cent + 10 cents
= 11 cents
if the ratio of the side lengths of two similar rectangular
prisms is 3/5, what would be the ratio of their areas
Given:
Ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex].
To find:
The ratio of their areas.
Solution:
If two figures are similar then their areas are proportional to the squares of their corresponding sides.
[tex]\dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}[/tex]
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex] ...(i)
Where, [tex]A_1,A_2[/tex] are areas and [tex]s_1,s_2[/tex] are corresponding sides.
It is given that ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex]. It means, [tex]\dfrac{s_1}{s_2}=\dfrac{3}{5}[/tex].
Using (i), we get
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{3}{5}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{9}{25}[/tex]
Therefore, the ratio of their areas is [tex]\dfrac{9}{25}[/tex]. It is also written as 9:25.
Change the following algebraic expressions to the statement in words: i. 3mn +7 ii. xy + (x+y)
Answer:
i) 3*m*n + 7
Then we can write the first term as:
"3 times the product between two numbers"
Where the product of two numbers is m*n
And after that we need to add 7, then the complete sentence is:
"3 times the product between two numbers, increased by 7"
ii) x*y + (x + y)
The first part, x*y, can be written as:
"the product of two numbers"
where the two numbers are the number x and the number y.
After that, we add the sum of these two numbers, then the complete sentence can be:
"the product of two numbers, plus the sum of these two numbers"
please I need this question fast
We have a linear function [tex]\displaystyle\bf y=\underbrace{k}_{gradient}x+b[/tex] and we know that [tex]\displaystyle\bf \left \{ {{-2\cdot-3+b=2} \atop {-4\cdot -2+b=k}} \right. => \left \{ {{b=-4} \atop {b+8=k} \right. => k=8-4=4 \\\\Answer: \boxed{B) \quad k=4}[/tex]
Hi!! I hope you are having a good day. I’m having an exam rn and I need help, these are short answers.
1. The radius of a circle is 14 cm. If π is taken as 3.14; what is the circumference of the circle.
2. Calculate: 2 3/6 + 3/6 =
3. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
4. Razon is constructing a decagon shape motel; each side measuring 12.4 cm. As the contractor, calculate the perimeter of this motel.
5. Using the division method, find the prime factors of 42? State if this number is odd or even.
6. Complete the the number sequence 1, 3, 10, 21, 64, 129_____, 777.
7. Using the factor three method, list the prime factors of 68 *
8. Don- tae decided to ship a container to JM to stock his Supermarket. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
9. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter.
Answer:
1.) 88cm
2.) 3
3.)104
Step-by-step explanation:
1) circumference= 2πr
2×22/7×14 = 88cm
Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron's sketch? 36 48 81 84
Answer: 36 inches
Step-by-step explanation:
From the information given in the question, we are informed that Yuron is sketching a scale drawing of a famous painting and that the painting is 54 inches wide and 72 inches long.
We are further informed that he used a scale factor of ⅔ to make his sketch, then the measure of the width of the sketch will be ⅔ of the original width and this will be:
= ⅔ × 54 inches
= 36 inches
The width of Yuron's sketch is 36 inches.
How many inches wide is Yuron's sketch?
We know that the original painting is 54 inches wide and 72 inches long, and Yuron makes a sketch that uses a scale of 2/3 of the original dimensions.
Then the width of Yuron's sketch will be 2/3 times the original width:
W = (2/3)*54 inches = 36 inches.
The width of Yuron's sketch is 36 inches.
If you want to learn more about scales, you can read:
https://brainly.com/question/15891755
Help !!! Hurry I do not know the answer
Answer:
wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to
pls answer the underline questions
Answer:
What is the question?
Step-by-step explanation:
I will edit this and answer when you comment the question in this answer.
Help pls!!!!!!!!!!!!! trigonometry is it cos sin or tan
Answer:
tan (angle T) = 5/2
angle T = arctan (5/2)
helpppp please!!!!!!
Answer:
x-8
Step-by-step explanation:
since we dont know how much gas is in the tank, lets make that X.
and since we subtract 8 gallons from how much is in the tank, we make that X-8
Answer:
Inequality:
x < 8
The Graph Would be the Hallow Dot on the 8, then it would go the left way.
PLZZZZ I really need help!
Which function rule represents the best line of fit for the data in the plot?
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function rule that represents the best line of fit for the data in the plot is option C.
A) f(x)= x+8
Since the line has a positive slope this can not be the appropriate option.
B.) f(x) = -2x+14
Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.
D.) f(x) = 10
Since this is a straight horizontal line at y=1. This is not the appropriate option.
Hence, the correct option is C.
Learn more about Function:
https://brainly.com/question/5245372
#SPJ1
Please help I’ll give brainliest
Answer:
you will subtract the power
7.80/hour=________ cents/minute?
Answer: 0.13 cents per minute.
Step-by-step explanation:
7.80 divided by 60(min per hour.)= .13 cents.
Justin printed 44 posters to advertise the garage sale. He gave 11 friends the same number of posters to display around the neighborhood. How many posters did Justin give each friend?
Answer:
4
Step-by-step explanation:
44/11=4
please put the math too I really need it ;)
Answer:1) 32. 2). 3) 21. 4) 4
Step-by-step explanation: 1) 4*8=32m, 2) I don't know, 3) 6*7=42 for the area of a square but since a triangle half it so its 21, An the last is by 4 for example 4*10=40 but if doubled its 20*8 and that equals 160. and 160/40=4
