Answer:
4,261
Step-by-step explanation:
after 23 hours, the number of bacteria =
4,000.
so, after 26 hours = 4,000+ (3/23 ×4000)
= 4,000 + 261 = 4,261
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.
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
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.
Find the value of x.
A baseball field is being designed. There is 60 ft between the pitcher and 3rd
baseman and 90 ft between the catcher and 3rd baseman. The half-way
distance from the catcher to the 3rd baseman is 45 ft. How far is the distance
between the pitcher and the catcher?
441 = 21
3600 = 60
5400 = 73.5
7650 = 87.5
1800 = 42.4
Answer:
30ft.
your welcome. ...................
Solve for x
Please help!
Answer:
Hello! answer: x = 20
Step-by-step explanation:
Because 3 multiplied by x which equals 20 gets us 60 then we just add the 2 and get 62 these are vertical angles so they will have the same measure hope that helps!
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
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
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.
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.
What’s the correct answer if your not sure please don’t answer I can’t get these wrong
Answer:
3 1/3 gallons
Step-by-step explanation:
Find P(15,6) The subject is permutations
Answer:
3603600
Step-by-step explanation:
I used my calculator
Simplify the expression to show 7m+4n-m-2n
Answer:
6m + 2n
Step-by-step explanation:
we have to added up the like therms
like therms are therms that have the same literal part
6m + 2n
Answer:
7m-m+4n-2n
m(7-1)+2n(2-1)
m(6)+2n(1)
6m+2n
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
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
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!!
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:
Solve the system by substitution.
y = 3x + 28
y = -4x
Answer:
(-4, 16)
Step-by-step explanation:
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]
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
Lalasa and Yasmin are designing a triangular banner to hang in the school gymnasium. They first draw the design on paper. The triangle has a base of 5 inches and a height of 7 inches. If 1 inch on the drawing Is equivalent to 1.5 feet on the actual banner, what will the area of the actual banner be? A 52.5 ft2 B 17.5 ft2 39.375 ft2 D 78.75 ft2
Find the actual Dimensions of the triangle.
Multiply the size of the triangle on paper by 1.5 feet per inch:
Width = 5 x 1.5 = 7.5 feet.
Height= 7 x 1.5 =10.5 feet
Area of a triangle is 1/2 x base x height:
Area = 1/2 x 7.5 x 10.5 = 39.375 square feet.
Answer: 39.375 square feet.
The area of the actual banner is 39.375 feet²
What is scaling?
Scaling is used to increase or decrease the size of a figure so as to create an image.
Given that 1 inch on the drawing Is equivalent to 1.5 feet on the actual banner, hence:
Base = 5 in * 1.5 feet per in = 7.5 feet
Height = 7 in * 1.5 feet per in = 10.5 feet
Area of the actual banner = (1/2) * 7.5 * 10.5 = 39.375 feet²
The area of the actual banner is 39.375 feet²
Find out more on scaling at: https://brainly.com/question/25324744
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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
Plz hurry in need help !!
The function F(x) = log2 x is increasing.
True or false
Answer: i think true
Step-by-step explanation:
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
The table shows a linear relationship between x and y.
Answer:
slope=-9/2
y int- 6
Step-by-step explanation:
okay lets take two points
-2,15 and -6,33
the slope is 33-15/ -6-(-2)= 18/-4=-9/2
equation is y=mx+b where m is slope and b is y intercept
so plugging values in we get
15=-2(-9/2)+b
15=9+b
b=6
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
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
What is the probability of flipping a coin twice and landing on heads both times?
a. 12.5%
b. 25%
c. 50%
d. 75%
e. 100%
Answer:
I think it would be B.
Step-by-step explanation:
Since you aready have a 50% chance of landing on both heads or tails once. To land it on heads twice you would have a twenty five percent chance if you look at logic. in which my dad would often say. Please mark the brainliest