Answer: 7 yards will be your answer.
Step-by-step explanation: I tried. Sorry if the answer is wrong!
Answer:
8 yards
Step-by-step explanation:
The small triangle is inside the big triangle and shares two of it's legs which means it is similar to the big triangle.
12:15
x:10
4:5
x must be 8
As an estimation we are told £3 is €4.
Convert €10.80 to pounds.
Give your answer rounded to 2 DP.
Answer:
£8.10
Step-by-step explanation:
Since we have to convert Euro to pound we will first find value of one euro in terms of pound.
Given
£3 = €4
=> £3/4 = €1
=> €10.80 = £3/4 * 10.80 ---->multiplying both side by 10.80 as we have have to find value of €10.80 in pounds
= > €10.80 = £8.10
Answer:
£8.10
Step-by-step explanation:
Given,
£3 = €4
Dividing both side by four
€1 = £0.75
We have to convert €10.80 to pounds
Multiplying 10.80 both side
€10.80 = £0.75 x 10.80
€10.80 =£8.10
Hence, €10.80 is equal to £8.10.
A presidential candidate plans to begin her campaign by visiting the capitals of 5 of the 50 states. If the five capitals are randomly selected without replacement, what is the probability that the route is Sacramento, Albany, Juneau, Hartford, and Bismarck, in that order?
Answer:
The probability is 1/254,251,200
Step-by-step explanation:
We proceed as follows;
Firstly, we are selecting 5 state capitals out of 50. The number of ways we can do this is 50P5 = 50!/5!(50-5)! = 254,251,200 ways
Now, out of this number of ways , only one route is desired in that particular order.
This means the probability of having the route scheduled in that particular order would be;
1/254,251,200
Answer:
0.000000003933
Step-by-step explanation:
As the candidate will visit the capitals of 5 of the 50 states, the probability of each capital being selected is 1/50.
As we want a probability of 5 specific capitals in a specific order, we can calculate the probability of each capital being chosed:
First city being Sacramento: Probability of 1/50
Second city being Albany: Probability of 1/49 (as the first city is not available now)
Third city being Juneau: Probability of 1/48
Fourth city being Hartford: Probability of 1/47
Fifth city being Bismarck: Probability of 1/46
So the final probability is 1/(50*49*48*47*46) = 0.000000003933
#10 What is 15 meters
increased by 25%.
Answer:
18.75 meters
Step-by-step explanation:
Final answer:
To find 15 meters increased by 25%, multiply 15 by 0.25 to get 3.75 meters, then add this to the original length to obtain 18.75 meters.
Explanation:
To calculate a 15 meters increase by 25%, first determine what 25% of 15 meters is. You do this by multiplying 15 by the percentage in decimal form (25% = 0.25), so: 15 meters * 0.25 = 3.75 meters. Then, to find the new length, you add this to the original 15 meters to get the total.
15 meters + 3.75 meters = 18.75 meters. Therefore, 15 meters increased by 25% is 18.75 meters.
Step-by-step explanation:
Convert the percentage increase to a decimal: 25% → 0.25.
Multiply the original length by this decimal: 15 meters * 0.25 = 3.75 meters.
Add the increase to the original length: 15 meters + 3.75 meters = 18.75 meters.
Asanji's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 adult tickets and 7 child tickets for a total of $162. The school got $311 on the second day by selling 11 adult tickets and 14 child tickets. Find the price of an adult ticket and the price of a child ticket using elimination.
The price of adult ticket is $ 13and child ticket is $12.Hope this will help u.....
A submarine is getting ready to dive below the surface of the water at an angle of depression of 40 degrees. It will be at a depth of 2000 feet when it is finished with its dive. What will be the horizontal distance traveled when it's finished it's dive?
Final answer:
The submarine will travel approximately 1532 feet horizontally as it dives down at an angle of depression of 40 degrees to a depth of 2000 feet, using the cosine trigonometric function to calculate this distance.
Explanation:
The student's question involves finding the horizontal distance a submarine will travel as it dives at a given angle of depression. When solving problems like this, we can use trigonometric functions, specifically the cosine function, because the horizontal distance is the adjacent side of a right-angled triangle, with the angle of depression being one of the angles, and the depth of the dive being the opposite side.
Now calculate the horizontal distance: x = 2000 * 0.766, which gives us x ≈ 1532 feet.
Therefore, the horizontal distance traveled by the submarine when it finished its dive is approximately 1532 feet.
The world population1 , in billions, was approximately , where is in years since April 20, 2014. At what rate was the world's population increasing on that date? Give your answer in millions of people per year, rounded to one decimal place.
Answer:
76.3 millions of people per year
Step-by-step explanation:
Missing text of the question:
"The world population1 , in billions, was approximately
[tex]P=7.17e^{0.01064t}[/tex]
where t is in years since April 20, 2014. At what rate was the world's population increasing on that date? Give your answer in millions of people per year, rounded to one decimal place."
Answer:
The expression that gives us the world population in billions t years after April 20, 2014 is
[tex]P=7.17e^{0.01064t}[/tex]
Where t is expressed in years.
Here we want to find the rate of change of this function at that date.
The rate of change of a function is given by its derivative. Therefore, we have to calculate the derivative of the function P, and the calculate its value at the date indicated.
The derivative of the function is:
[tex]P'(t)=7.17 \cdot 0.01064 e^{0.01064 t}=0.0763 e^{0.01064t}[/tex]
Now we want to find the rate of change at the date April 20, 2014, which means zero years after that date; so we have to substitute t = 0 into the expression of the derivative, and we find:
[tex]P'(0)=0.0763e^0 = 0.0763[/tex]
So, 0.0763 billions, which corresponds to 76.3 millions of people per year.
I WILL MARK BRAINLIEST IF U SHOW WORK !!
TESSA saves $25 in 5 weeks. how long will it take her to save $55 ?
Answer:
11 weeks
Step-by-step explanation:
25 divided by 5 = 5
So she saves 5 dollars a week meaning 5 x 11 = 55
Answer:
10 weeks and 5 days
Step-by-step explanation:
5 weeks is 25 ->
10 weeks is 50->
she gets 1.4 a day ->
1.4 times 3 days is4.2 so you would use 5 days ->
so it would be 10 weeks and 5 days
Find all solutions to (x+5)(2x-3)=0
Answer:
Step-by-step explanation:
Exact Form:
x=5,−32
Decimal Form:
x=5,−1.5
Mixed Number Form:
x=5,−112
( I tried... )
Experience shows that a ski lodge will be full (153 guests) if there is a heavy snow fall while only partially full (62 guests) with a light snow fall. What is the expected number of guests if the probability for a heavy snow fall is .40
Step-by-step explanation:
The total number of guests for lodge to be full = 153
During heavy snow fall, the lodge will be full.
The expected number of guests during heavy snow fall = 153
During partial snow fall, the expected number of guests = 62
The probability of heavy snowfall = 0.4
The probability of partial snow fall = 1 - 0.4 = 0.6
The expected number of guests = [(0.4) (153)] + [(0.6) (62)]
= 61.2 + 37.2
= 98.4
If 5 candy bars cost $3 how much will 2 candy bars coast
Answer:
3.33 can i have brainliest
Step-by-step explanation:
5/3 = 1.6666666666...
1.6666666666..... X 2 = 3.333333.....
Miles hs a piece of paper that is 1/4 of a large circle he cuts the paper int five equal parts from the center point of the circle what is the angle measure of each part
Answer: 18°
Step-by-step explanation:
From the question, Miles hs a piece of paper that is 1/4 of a large circle and he cuts the paper into five equal parts from the center of the circle.
The total angle of a circle is 360°. Since Miles caught 1/4 of the circle, this means that he'll have an angle of : 360° × 1/4 = 90°.
Then, he now cuts the paper into five equal parts. This means that we divide 90° by 5 which will give:
= 90° ÷ 5
= 18°
The angle measure of each part is 18°.
Answer:
18°
Step-by-step explanation:
Extracting the key information from the question:
*** Miles has paper that is 1/4 of a large circle.
*** He cut this paper into five equal parts.
*** We are required to calculate the angle measure of each part.
The sum of the angles in a circle is 360°. So I miles has 1/4 of a large circle, it means that the sum of the angles of this paper should be a quarter of 360°
= 1/4 × 360°
= 90°
Again, since he cuts the paper into five equal parts, we will find the angle measure of each part by dividing 90° by 5.
The angle measure of each
= 1/5 × 90°
= 18°
Therefore, each of the five parts of paper had an angle of 18°
what is the surface area of the prism in square inches?
Given:
Given that the triangular prism with height 10 inches.
The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.
We need to determine the surface area of the prism.
Surface area of the prism:
The surface area of the prism can be determined using the formula,
[tex]SA=bh+(s_1+s_2+s_3)H[/tex]
where b is the base and h is the height of the triangle.
s₁, s₂, s₃ are the side lengths of the triangle and
H is the height of the prism.
Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;
[tex]SA=(12)(5)+(12+5+13)(10)[/tex]
[tex]SA=60+(30)(10)[/tex]
[tex]SA=60+300[/tex]
[tex]SA=360 \ in^2[/tex]
Thus, the surface area of the triangular prism is 360 square inches.
Hence, Option b is the correct answer.
Answer:
360 sq in
Step-by-step explanation:
i did it trust me
hows many times does 14 go into 88
Answer:
6 times
Step-by-step explanation:
In order to figure out how many times a number goes into another number we need to divide the numbers:
88/14 ≅ 6.29
Since the answer is 6.29 then 14 fits into 88, 6 full times
Given ABC = DEF and the perimeter of DEF =38, find BC
Answer: BC = 15
Step-by-step explanation:
Since the triangles are congruent, that means they are the same. So side AB = side EF. Since we know side FD is 15, that means side BC= 15
Final answer:
To find BC when given triangles ABC and DEF are congruent and the perimeter of DEF is 38, subtract the summed lengths of DE and EF from 38 to get the length of DF, which will be equal to BC.
Explanation:
If you are given that triangle ABC is congruent to triangle DEF and the perimeter of DEF is 38 units, to find the length of side BC, we need to first establish that corresponding sides of congruent triangles are equal in length. This means that each side of triangle ABC corresponds and is equal to a side of triangle DEF. Therefore, if you are given the lengths of sides DE and EF, you subtract their sum from the total perimeter of triangle DEF to find the length of side DF. Since triangle ABC is congruent to triangle DEF, BC is equal to DF. Thus, the length of side BC in triangle ABC can be calculated.
For example, if DE is 10 units and EF is 12 units, then:
Sum the lengths of DE and EF: 10 + 12 = 22 units.Subtract this sum from the perimeter of DEF to find DF: 38 - 22 = 16 units.Since BC corresponds to DF, the length of BC is also 16 units.PLEASE HELP! I NEED TO DO THIS!! FOR 15 POINTS!!
Identify the slope and a point from the equation:
My Answer was X = (5, -7)
I think I'm wrong, please help!!
Answer:
m = 1/2 point (5, -7)
Step-by-step explanation:
The equation is in point slope from
y - y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y+7 = 1/2(x-5)
Rewriting
y - -7 = 1/2 (x - 5)
We can see that 1/2 is the slope and (5, -7) is a point on the line
Answer:
a)
Step-by-step explanation:
y - y1 = m(x - x1)
m = ½
Point: (5,-7)
If the triangle shown in the diagram is translated 3 units right and 4 units down, what will be the coordinates of S’?
Answer:-5
Step-by-step explanation:
It’s just how it is -5
The coordinate of S' is (1, -5) if the triangle in the diagram is translated 3 units right and 4 units down.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Let point is (-2, -1)
Now,
Translated 3 units right, the x-coordinate of the point = -2 + 3 = 1
Translated 4 units down, the y-coordinate of the point = -1 - 4 = -5
The coordinate of S' is (1, -5)
Thus, the coordinate of S' is (1, -5) if the triangle in the diagram is translated 3 units right and 4 units down.
Learn more about the geometric transformation here:
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What’s the answer to this?
Answer:
Positive
Step-by-step explanation: When you look at a graph you always look at it like your reading a book. So you read it from left to right and if you read the line shown it is going up meaning it is positive.
Hope this helps :)
111111+111111 + 111111+111111
Answer:
444444
Step-by-step explanation:
Answer:
444,444
Step-by-step explanation:
Aisha wants to make a dog bed for her new puppy. She buys 2.5 yards of fabric. If the fabric costs $4.90 per yard, how much does Aisha pay?
Answer:
$12.25
Step-by-step explanation:
2.5 yards of fabric * $4.90 per yard of fabric = $12.25. Hope this helps!
Final answer:
Aisha pays $12.25 for the 2.5 yards of fabric she buys.
Explanation:
The total amount of fabric Aisha buys is 2.5 yards.
To find the total cost, multiply the number of yards by the cost per yard. For Aisha, this would be 2.5 yards x $4.90/yard = $12.25.
Which expression is equivalent to log Subscript 2 Baseline 9 x cubed?
Answer:
log Subscript 2 Baseline 9 x cubed is equivalent to 2 log subscript 2 Baseline 3 + 3 log subscript 2 Baseline x
Step-by-step explanation:
Given:
log Subscript 2 Baseline 9 x cubed?
Required:
Find the equivalent of the above expression.
First, we need to represent it mathematically;
log Subscript 2 Baseline 9 x cubed = [tex]log_{2} 9x^{3}[/tex]
From Laws of logarithm
[tex]log_{x} AB = log_{x} (A* B)\\log_{x} AB = log_{x}A + log_{x}B[/tex]
Note how the expression is split into two
We'll apply the same logic above, here
First, is to simplify the mathematical expression;
[tex]log_{2} 9x^{3} = log_{2} (9 * x^{3})[/tex]
Then we split into two
[tex]log_{2} 9x^{3} = log_{2}(9) + log_{2}(x^{3})[/tex]
[tex]log_{2} 9x^{3} = log_{2}(3^2) + log_{2}(x^{3})[/tex]
Also from laws of logarithm,
[tex]log_{m}A^{n} = nlog_{m}A[/tex]
We'll apply this law on [tex]log_{2}(x^{3})[/tex] and [tex]log_{2}(3^{2})[/tex]
[tex]log_{2}x^{3} = 3log_{2}x[/tex]
[tex]log_{2}(3^2) = 2log_{2}3[/tex]
So, [tex]log_{2} 9x^{3} = log_{2}(9) + log_{2}(x^{3})[/tex] becomes
[tex]log_{2} 9x^{3} = 2log_{2}3 + 3log_{2}x[/tex]
log Subscript 2 Baseline 9 x cubed is equivalent to [tex]2log_{2}3 + 3log_{2}x[/tex]
[tex]2log_{2}3[/tex] can be represented as 2 log subscript 2 Baseline 3
and
[tex]3log_{2}x[/tex] can be represented as 3 log subscript 2 Baseline x
Hence, log Subscript 2 Baseline 9 x cubed is equivalent to 2 log subscript 2 Baseline 3 + 3 log subscript 2 Baseline x
Answer:
a) log2 9x^3
Step-by-step explanation:
got it right on edg
A bag contains 2 yellow marbles and 5 red marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is red and the second one is yellow?
The probability of drawing a red marble first and a yellow marble second is 5/21.
Explanation:To find the probability that the first marble drawn is red and the second one is yellow, we need to consider the total number of marbles and the number of red and yellow marbles in the bag.
Since we are drawing without replacement, the probabilities are dependent.
The probability of drawing a red marble on the first draw is 5/7. After the first marble is drawn, there are now 4 red marbles and 2 yellow marbles left in the bag. The probability of drawing a yellow marble on the second draw is 2/6.
Therefore, the probability of drawing a red marble first and a yellow marble second is (5/7) × (2/6) = 10/42 = 5/21.
Final answer:
The probability of drawing a red marble first and then a yellow marble from a bag with 2 yellow marbles and 5 red marbles is calculated by multiplying the probability of each event, giving a final answer of 5/21.
Explanation:
The calculation of the probability that the first marble is red and the second one is yellow when two marbles are drawn without replacement from a bag containing 2 yellow marbles and 5 red marbles involves step-by-step conditional probabilities.
Step 1: Calculate the probability of drawing a red marble first. Since there are 5 red marbles out of a total of 7 marbles, the probability is 5/7.
Step 2: Now that a red marble has been drawn and not replaced, there are 1 yellow marble less and 1 red marble less in the bag, making a total of 6 marbles. The probability of then drawing a yellow marble is 2/6, or 1/3.
Step 3: To find the combined probability of both events happening in sequence (a red marble first, then a yellow marble), multiply the individual probabilities: (5/7) * (1/3).
The final answer is therefore (5/7) * (1/3) = 5/21.
The table shows the last holiday destination of 60 people
The angles are 150°, 108°, 90°, and 12°.
What are corresponding angles?In a literal sense, corresponding means pairwise angles. Like the right corner angles of two triangles etc. But usually, we take them as:
For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of the same measurement.
Suppose for example, that 10 people choose city A as a destination.
To calculate its corresponding angle, we have to use the following proportion, 60 people represent the whole circle, is 360°, then 10 people are represented by:
France:
25/60 × 360 = 150°
Spain:
18/60 × 360 = 108°
Greece:
15/60 × 360 = 90°
Other:
2/60 × 360 = 12°
Learn more about angles here:
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Which is the correct classificatio
irrational number, 0.375
irrational number, 0,375
rational number, 0375
rational number, 0.375
Answer:
d
Step-by-step explanation:
D. Rational number, 0.375
I Got it Right
Hope i Helped ❤
12(x-3)=10+2(6x-10)
x^2+6x-15=0 solve by completing the square
For given equation x^2+6x-15=0, value of x is [tex]-3\pm 2 \sqrt{6}[/tex]
The "solutions" of an equation are referred to as the roots of the equation. Solutions are the numbers that, once the variable has been solved, are equal to it. We can use the discriminant formula to obtain the roots of quadratic equations.
The given equation [tex]x^2+6x-15=0\\[/tex] can be solved using discriminant method.
[tex]d=b^2 -4ac\\[/tex].......................1
[tex]x=-b\pm\sqrt{d}/2a[/tex].....................2
To calculate d,
Substitute a=1,b=6,c=-15 in eq 1.
[tex]d=6^2-4\times 1\times -15\\ d=96[/tex]
[tex]x=-6\pm \sqrt{96}/2\\x=-3\pm 2\sqrt6[/tex]
Thus, value of x is [tex]-3\pm 2 \sqrt{6}[/tex]
Learn more about roots, here:
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Final answer:
x = -3 ±√24.
Explanation:
To solve the quadratic equation x²+6x-15=0 by completing the square, follow these steps:
First, move the constant term to the other side of the equation:
x² + 6x = 15.
Add the square of half the coefficient of x to both sides to complete the square: (6/2)² = 9, so add 9 to both sides resulting in x² + 6x + 9 = 24.
Now the equation is a perfect square on the left side:
(x+3)² = 24.
Take the square root of both sides to solve for x:
x+3 = ±√24.
Subtract 3 from both sides to find the values of x:
x = -3 ±√24.
What are the solutions of 3(x – 4)(2x - 3) = 0?
Answer:
4 or 3/2
Step-by-step explanation:
The given equation is 3(x - 4) (2x - 3) =0
When we have 0 on the right hand side of given equation , we can compare two factors with 0 .
we can do this by :
(3×x - 3×4) (2x-3)=0
(3x-12)(2x-3)=0
either , (3x-12)=0
or,3x = 12
or, x = 12/3
or ,x = 4
now , comparing other factor:
(2x -3) =0
or, 2x = 3
or ,x=3/2
Sussex County received 43 inches of
rainfall this year. The percent error in the
local meteorologist's rainfall prediction
was about 18.02%. What are two
possible values for the meteorologist's
prediction?
Answer: 774.86 or 775
Step-by-step explanation:
Answer:
755
Step-by-step explanation:
Figure ABCD has vertices A(−3, 2), B(2, 2), C(2, −4), and D(−3, −2). What is the area of figure ABCD?
Answer:
30 units
Step-by-step explanation:
In order to find the side lengths, you can either draw it out, or imagine it in your head. I would recommend drawing it if you're unfamiliar to the topic.
So when you draw it out, you see that AB is the width of the rectangle, and BC is the length.
In order to calculate it, you'd have to keep in mind which direction each line goes. Since AB is horizontal, we would use the x coordinates to find the length. [tex]x_{1}[/tex]-[tex]x_{2}[/tex] is the formula, where A is [tex]x_{2}[/tex], since it is farther left.
width = 2 - (-3)
w = 5
Now, you'd do the same thing, but with BC, and [tex]y_{1}[/tex]-[tex]y_{2}[/tex]. In this case, B is [tex]y_{1}[/tex], since it is further up.
length = 2 - (-4)
l = 6
Now, multiply them to find the area of a rectangle.
5 x 6 = 30
I hope this helps!
Your family went out to eat. The total bill was
68.50. How much tip schools you leave using 15 percent.
Please help! I will mark brainliest.
Sean opened a savings account and deposited $1,000.00 as principal. The account earns 6% interest, compounded annually. What is the balance after 7 years?
Use the formula A=P(1+ʳ/ₙ)ⁿᵗ, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
Answer: A = $1503.6
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 1000
r = 6% = 6/100 = 0.06
n = 1 because it was compounded once in a year.
t = 7 years
Therefore,.
A = 1000(1 + 0.06/1)^1 × 7
A = 1000(1.06)^7
A = $1503.6