Answer:
if Marcia uses 9 parts water, that mean she will have to use 3 parts syrup
Step-by-step explanation:
this is ratios,
so to find out how many syrup she needs, you need to see how much she used water from the original recipe
so:
9 ÷ 3 = 3
so she multiplied three to get to nine, so we have to do the same to the syrup
_ ÷ 1 = 3
or:
3 × 1 = 3
so the answer is 3
Which one is correct?
Answer:
The first one (A) is the answer I got!
Step-by-step explanation:
Answer:
B = 706.5
Step-by-step explanation:
here you are given the diameter you need to First find a radius and radius is half of the diameter which is equal to 30 /2 = 15
Area of the circle is
[tex]\pi \: r { }^{2} [/tex]
3.14× 15×15 = 706.5
Please help!
1. What is the perimeter of the triangle below? Show your work.
Answer:
16.73 I THINK
Step-by-step explanation:
my guess is n1 is relating to the 4.9, and if it then you would do the Pythagorean theorem. because the degrees are there to let you know it's a right angle and you are able to use the theorem..... so -
4.9^2 + 4.9^2 =C^2
48.02 =C
√48 = 6.93 (rounded to nearest hundredth)
then you add them all together
4.9+4.9+6.93=16.73
What is the area of singapore flyer wheel.
Answer:
33,700m2 Land area: Singapore Flyer stands on 33,700m2 or 363,000 ft2 – an area that will fit 172 tennis courts or 1,120 parking lots. 471 meters is the real answer to the problem
Step-by-step explanation:
Plz brainlist
where happened if you have sex
Answer:
you have a chance of having a baby...
Answer:
chance of relief stress and having a baby
Step-by-step explanation:
hope it helps you
Plz hurry in need help !!
Can someone please please help me with my math , english and health questions. im failing in all these classes and extremely need help. Some already have one answer but it isnt correct or someone just wrote down stuff just to get points. ( Will Mark Brainliest for each correct answer).
Answer:
okie we will try our best
Find the sum of the measures of the interior angles of the indicated covex
Very confused
Answer:
Step-by-step explanation:
Hope it helps u!!
Amanda has $227 worth of bills in her purse. She has six more $5 bills than $10 bills. The number of $1 bills is three fewer than 25 times the number of $10 bills. How many bills of each kind does Amanda have.
Answer:
$10 = 5 $5 = 11 $1 = 122
Step-by-step explanation:
i take the same class
Answer:
$10 = 5 $5 = 11 $1 = 122
Step-by-step explanation:
I checked of RSm
BRAINLIEST if correct
Answer:
A=38.88 or 38.9
Step-by-step explanation:
If both are similar then the 9 and the 7.2 are the same
9-7.2= 1.8
9x6=54
7.2-1.8=5.4
7.2x5.4=38.88 or 38.9
jonathan walks to school on a sidewalk by going 8 blocks to the east and then 6 blocks south. how much distance (in blocks) would he save if he cut across the field to go to achool instead of walking along the sidewalk?
Answer:
Is there an image to visualize the field?
Step-by-step explanation:
I would love to help.
Find P(15,6) The subject is permutations
Answer:
3603600
Step-by-step explanation:
I used my calculator
In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°. Find the length of s, to the nearest 10th of an inch.
Answer:
0.8 inches
Step-by-step explanation:
< R = 180-23-22 = 135°
the length of s = 1.5 × sin 23° / sin 135°
= 1.5 × 0.391 / 0.707 = 0.5865/0.707
= 0.8 inches
In ΔNOP, the measure of ∠P=90°, PO = 48, NP = 55, and ON = 73. What is the value of the sine of ∠N to the nearest hundredth?
Answer:
[tex]\sin(N) = 0.66[/tex]
Step-by-step explanation:
Given
[tex]\angle P = 90^o[/tex]
[tex]PO = 48; NP = 55; ON = 73[/tex]
Required
[tex]\sin(N)[/tex]
The given parameters is illustrated with the attached image.
From the attached, we have:
[tex]\sin(N) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(N) = \frac{PO}{ON}[/tex]
[tex]\sin(N) = \frac{48}{73}[/tex]
[tex]\sin(N) = 0.66[/tex] -- approximated
A bag of M&Ms contains 7 blue, 4 brown, 4 orange, 2 yellow, 3 red, and 3
green. Reaching into the bag, a person grabs 5 M&Ms.
What is the probability of getting 3 blues?
Answer:
0.1248 = 12.48% probability of getting 3 blues.
Step-by-step explanation:
The M&Ms are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
7 + 4 + 4 + 2 + 3 + 3 = 23 total M&Ms, which means that [tex]N = 23[/tex]
Sample of 5 means that [tex]n = 5[/tex]
7 blue means that [tex]k = 7[/tex]
What is the probability of getting 3 blues?
This is P(X = 3).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,23,5,7) = \frac{C_{7,3}*C_{16,2}}{C_{23,5}} = 0.1248[/tex]
0.1248 = 12.48% probability of getting 3 blues.
12 bars of soap for $8.69
Probability Event:
You ask 5 people what month their birthday is in. What is the probability that they will all be in the summer?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
Dependent
Explanation:
All of the birthdays being in summer depends on the birthdays of each person.
Find the value of x.
KkkjwjwjwiwieieieieieieiejeieieieieieieJ
Answer this question pls!!
Answer:
(6, 7)
Step-by-step explanation:
A rectangle means that opposite sides are parallel to each other and that opposite sides are equal in measurements.
If we look at the opposite side starting at (2, 1), we can count how long the other side should be. Counting the next point of the rectangle is (6, 1) which is a difference of 4. This means if we count from (2, 7) 4 spaces to the right, we will find our missing vertex.
(2 + 4, 7) = (6, 7)
the figure above, not drawn to scale, consists of a triangle resting on a square of side 5cm. the height of the triangle is 4cm. what is the total area of the figure?
Answer:
5x4x2
Step-by-step explanation:
The total area of the figure id 35 square cm.
What is area?The amount of space taken up by a two dimensional space is called area.
What is the formula for the area of triangle?The formula for the area of a triangle is
[tex]A = \frac{1}{2} (b)(h)[/tex]
Where,
A is the area of triangle.
b is the base of a triangle.
h is the height of the triangle.
What is the formula for the area of square?The formula for the area of square is
[tex]Area = a^{2}[/tex]
Where,
a is the side length of square.
According to the given question.
A triangle is resting on a square.
Side length of square, a = 5cm
So, the area of square = [tex]5^{2} = 25 square cm[/tex]
Also, a triangle with height 4cm.
Since, the triangle is resting on a square.
⇒ Base length of the triangle = 5cm
So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]
Therefore,
The total area of the given figure = Area of square + Area of triangle
⇒ Total area of figure = (25 + 10) square cm
⇒ Total area of figure = 35 square cm
Hence, the total area of the figure id 35 square cm.
Find out more information about area of triangle and square here:
https://brainly.com/question/11952845
#SPJ3
Help plis I don’t understand ✋✋
Trapezoid Area =
[ ( Sum of the rules ) × ( height ) ] ÷ 2
_________________________________
Area = [ ( 2 + 3 ) × 3 ] ÷ 2
Area = [ 5 × 3 ] ÷ 2
Area = 15 ÷ 2
Area = 7.5 m^2
Each student at Riverside Elementary has a student ID number made up of six numbers between 1 and 9. How many possible student ID's can be made? A. 60,480 B. 117,649 C. 531,441 D. 1,000,000. Please put a good explanation, I need to figure this out soon!
Answer:
C. 531,441
Step-by-step explanation:
You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.
Answer this question pls!! (Will give Brainliest)
Answer:
1. Not equivalent
2. Not equivalent
3. Equivalent
4. Equivalent
5. Equivalent
Step-by-step explanation:
I will prove the ones that are equivalent, since the ones that aren't are pretty straightforward.
2(3h + 7) = 6h + 14
3. 6h + 7 + 7 = 6h + 14
4. 3h + 3h + 14 = 6h + 14
5. (3h + 7) + (3h + 7) = 6h + 14
use the double-angle formulas for sine and cosine to verify these identities:
tan(2theta) = 2tan(theta) / 1 - tan^2 (theta)
sin
(
2
θ
)
=
2
(
3
5
)
(
−
4
5
)
=
−
24
25
Write the double-angle formula for cosine.
\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos
2
θ−sin
2
θ
Again, substitute the values of the sine and cosine into the equation, and simplify.
)Answer:
In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,
\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ
If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have
Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have
Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:
Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives
\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}
tan(α+β)=
1−tanαtanβ
tanα+tanβ
tan(θ+θ)=
1−tanθtanθ
tanθ+tanθ
tan(2θ)=
1−tan
2
θ
2tanθ
A GENERAL NOTE: DOUBLE-ANGLE FORMULAS
The double-angle formulas are summarized as follows:
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=
1−tan
2
θ
2tanθ
HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.
Draw a triangle to reflect the given information.
Determine the correct double-angle formula.
Substitute values into the formula based on the triangle.
Simplify.
EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT
Given that
and \displaystyle \thetaθ is in quadrant II, find the following:
\displaystyle \sin \left(2\theta \right)sin(2θ)
\displaystyle \cos \left(2\theta \right)cos(2θ)
\displaystyle \tan \left(2\theta \right)tan(2θ)
SOLUTION
If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−
4
3
, such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:
Now we can draw a triangle similar to the one shown in Figure 2.
Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.
Figure 2
Let’s begin by writing the double-angle formula for sine.
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=
. Substitute these values into the equation, and simplify.
Thus,
Solution
EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES
Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).
SOLUTION
c
Analysis of the Solution
This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.
Using Double-Angle Formulas to Verify Identities
Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.
EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY
Establish the following identity using double-angle formulas:
\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)
2
θ
)
Step-by-step explanation:
8
The median of 3 numbers is 7. If one of the numbers is 10, which of the following is a possible value for one of
the other numbers?
0/
6
8
ОООО
13
17
Review Questions
Mathematics
9514 1404 393
Answer:
(a) 6
Step-by-step explanation:
The median is the middle number when they are sorted into order. If one of the numbers is 10, the remaining number must be any number less than 7. Of the offered choices, the only one less than 7 is 6.
__
The three numbers are 6, 7, 10.
If you rolled two dice, what is the probability
that you would roll a sum of 6?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
second
first
1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter
Answer:
[tex]\frac{5}{36}[/tex]
Step-by-step explanation:
probability of desired outcome:
Number of desired outcomes/number of total outcomes
To find the numerator just count the number of times the condition is satisfied
I get 5
1,5
2,4
3,3
4,2
5,1
The number of total outcomes is just 6² or 36
So the final answer is just 5/36
3/2 of a number is less than this number?
true or false, justify your answers
Answer:
False because 1/2 would be half the number 2/2 or 1 would be the whole number so 3/2 would be a whole and half or 1 1/2
Answer:
false
if the number is X
3/2 of X= X 1/2
[tex]x \frac{1}{2} > x[/tex]
you have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2.Which of these statements is true?
Answer:
c
Step-by-step explanation:
right on plato
the side length of a triangle are 9,12 and 15. Which side will be opposite the right angle?
Answer:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
Answer:
c
Step-by-step explanation:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
Sam is getting ready for a big date when he realizes that he has no money. his roommate, Bill, also has no money, but he has a credit card. knowing that nobody will let Sam use Bill's credit card, Sam asks Bill to put out a cash advance for $120.00. Bill agrees under the condition that Sam is responsible for all interest that accrues on the cash advance which is 30% interest rate, compounded monthly. The $120 cash advance is repaid in monthly installments over 5 years. How much should Bill ask Sam to pay in interest for the cash advance?
Answer:
b 112.80
Step-by-step explanation:
took test on edge
The interest that accrues on the initial down payment at 30% interest rate is $408 .
What is interest?The term interest refers to money that accrues on a principal sum. It is commonly employed in the parlance of borrowing money.
Since it is a compound interest;
A = P(1 + r/n)^nt
Where;
A = amount
P = principal
r = rate
n = number of times compounded per year
t = total time taken
A = 120(1 + 0.025)^12 × 5
A = $528
A = P + I
I = A - P
I = $528 - $120
I = $408
Learn more about compound interest: https://brainly.com/question/25857212