Answer:
The volume is 227.5
Step-by-step explanation:
The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5
No matter what I've tried, nothing works. Hopefully you can help me
Answer:
see explanation
Step-by-step explanation:
given Δ ABD is isosceles with AB = AD then base angles are congruent, so
∠ ADB = ∠ ABD = 72°
then
∠ BAD = 180° - (72 + 72)° = 180° - 144° = 36° ( sum of angles in a triangle )
given Δ ABC is isosceles , then
∠ BCD = ∠ BAD = 36°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ADB is an exterior angle of Δ BCD , then
∠ BCD + ∠ DBC = ∠ ADB
36° + ∠ DBC = 72° ( subtract 36° from both sides )
∠ DBC = 36°
So ∠ BCD = ∠ DBC = 36°
Thus the base angles of Δ BCD are congruent , then
Δ BCD is isosceles with BD = CD
3(y - 3) = -15
I really need help
Answer:
y=-2
Step-by-step explanation:
can i get brainliest please???
it would be very much appreciated
have a nice day :)
Answer:
y=-2
Step-by-step explanation:
3(y-3)=-15
Divide both sides by 3:
3(y-3)/3=-15/3
Simplify:
3(y-3)/3=-15/3
3(y-3)/3
Divide the numbers:3/3=1
=y-3
Simplify:
-15/3
Divide the numbers:15/3=5
=-5
y-3=-5
Add 3 to both sides:
y-3+3=-5+3
Simplify:
y=-2
reduce the square root of -360
reduce the square root of
\(\begin{gathered} \sqrt[]{-360} \\ 360=36\cdot10=6^2\cdot10 \\ \end{gathered}\)There is no square root for the negative number
so, this is represent a complex number
So,
\(\begin{gathered} \sqrt[]{-360}=\sqrt[]{-1}\cdot\sqrt[]{360} \\ =i\cdot\sqrt[]{6^2\cdot10} \\ =i\cdot6\sqrt[]{10} \\ =6\sqrt[]{10}\cdot i \end{gathered}\)Brian cut of 25% of a stick which was 1.6 meters long what percent of the stick is remaining
Answer:
The remaining is 75%, the length of the stick would be 1.2
Step-by-step explanation:
According to the information given,
We know that Brian cut off 25% of a stick which was 1.6 meters long
and 1.6 is the 100% of the stick:
It is fairly easy to calculate this, subtract 25 from 100 ( 100 - 25 ), which is equal to 75.
Hence, the answer is 75% and 1.2 for the remaining length of the stick
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If h(x)=-3x^2-4 and k(x)=4x-3, find h(k(2))
Answer:
-79
Step-by-step explanation:
Set up the composite function and simplify.
A track and field championship has participants from 64 countries The flag = of each country consists of three horizontal stripes of different colors where order matters (every flag has a fixed top; middle, and bottom stripe color). No flag contains colors other than red; white, blue; and green_ Show that there are 3 countries that have the same flag:
As the number of countries is more than 48, so there are 3 countries that have the same flag.
There are four colours, red, white, blue and green; and each flag has three horizontal stripes of different colours.
The top horizontal stripe can be of 4 colours (any of the four colours).
The middle horizontal stripe can be of 3 colours (Except the colour of the top stripe).
The bottom horizontal stripe can be of 2 colours (Except the colour of the top and middle stripe).
The total possible no. of flags is = 4 X 3 X 2 = 24.
So, the possibility of different colour flags is only 24.
24 X 2 = 48, so two countries will have flags of same colours.
Here, number of countries is more than 48, so from 49th country to 64th country the type of flag will be repeated.
Therefore, there are 3 countries having same flag.
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Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
According to the U.S. Mint, the number of quarters minted in 2018 was about 2 x 10°. The mass of a quarter is about 6 X 10-3 kg. Write the number of quarters and the mass of a quarter in standard form.
The number of quarters is 2 and mass of quarter is 0.006 Kg.
What is Scientific Notation?With scientific notation, one can express extremely big or extremely small values. If a number between 1 and 10 is multiplied by a power of 10, the result is written in scientific notation.
Given:
The number of quarters minted in 2018 was about 2 x 10°
and, The mass of a quarter is about 6 X \(10^{-3\) kg.
As, in standard form the decimal is place after one significant and the rest raised to 10 to the powers and if the number are in power then it can be written in form of decimal.
Here, number of quarters minted is already in standard form 2 x 10° or 2 x 1
and, mass of a quarter can be written as
= 6 X \(10^{-3\) k
= 6/ 10³
= 6/ 1000
= 0.006
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how long is each side of the box
Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.
How to find the measure of the sides of the box?To find the measure of the sides of the box we must carry out the following mathematical procedure:
As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.
So this cube has a volume of 125cm³, so its sides would be the cube root of 125.
\(\sqrt[3]{125} = 5\)
According to the above, the length of the sides is 5 taking into account that all the sides are equal.
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I need helping finding the equation of the ellipse please.
Turn me into a superhero
What is 4.312 x 100
any decimal times a multiple of 10 means that the decimal will move to the right based on the number of zeros
therefore
4.312 * 100 = 431.2
hope this helps
Answer:
431.2
Step-by-step explanation:
\( \\ 4.312 \times 100\)
\( \\ = \frac{4312}{1000} \times 100\)
\( \\ = \frac{4312}{10} \)
\( \\ = 431.2\)
FIND THE SCALE FACTOR GIVEN
TRIANGLE ABC~TRIANGLE DEF
then
USE THE THE SCALE FACTOR TO FIND X
then
USE THE SCALE FACTOR TO FIND Y
PLEASE HELP ILL CASH APP MONEY!
Answer:
x = 14.4
y = 11.25
Step-by-step explanation:
✔️Find x:
Given that ∆ABC is similar to ∆DEF, it follows that their corresponding sides must be proportional to each other.
Thus:
\( \frac{AB}{DE} = \frac{AC}{DF} \)
AB = 15
DE = 12
AC = 18
DF = x
Plug in the values
\( \frac{15}{12} = \frac{18}{x} \)
Cross multiply
\( 15*x = 18*12 \)
\( 15x = 216 \)
Divide both sides by 15
x = 14.4
✔️Find y:
\( \frac{AB}{DE} = \frac{BC}{EF} \)
AB = 15
DE = 12
BC = y
EF = 9
Plug in the values
\( \frac{15}{12} = \frac{y}{9} \)
Multiply both sides by 9
\( \frac{15}{12}*9 = \frac{y}{9}*9 \)
\( \frac{15*9}{12} = y \)
\( y = 11.25 \)
The GCF of 18 and 30 is ____.
pls help >:o
Answer:
6
Step-by-step explanation:
Answer: GCF of 18 and 30 is 6.
Answer:
9
Step-by-step explanation:
18,1,2,3,6,9
30,1,2,3,5,6,9
What is 78,600 rounded to the nearest thousand
Answer:
79,000
Step-by-step explanation:
:]
Answer:
79000.
Step-by-step explanation:
Question 23 options:
The sum of the measures of the exterior angles of a 105-gon is ___ degrees.
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any n-gon is 360°
In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the slope of this line positive or negative? How do you know? •What is the y-intercept of this line? How did you find it? •What is the slope of this line? How did you find it?
The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."
(I saw the image on another question you had asked. Have a nice day!)
Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. how much will she pay all together
1. after using the coupon what is the sale price of the dress Show Your Work
2.how much is th 10% tax on the sale price Explain how you found your answer
Answer:
$13.50
Step-by-step explanation:
If I am taking off 40%, that means that the dress now cost 60% of the original cost. .6 x 20 is 12.
You could also calculate the 20% off and subtract that from the original cost. .4 x 20 =8. Now 20 - 8 is also 12.
Now, we have to calculate the tax. 10% of 12 is .1 x 12 or $1.20. We add the tax to the 12 to get 13.50.
• 5. A certain type of bacteria, given a favorable growth medium, doubles
in population every 4 hours. Given that there were approximately 100
bacteria to start with, how many bacteria will there be in a day and a
half?
Answer:
51,200
Step-by-step explanation:
a day and a half = 36 hours
36/4 = 9
There are 9 doubling periods
how many bacteria will there be in a day and a half?
100 * 2^9
100 * 512
51200
23, , , , 100. I don’t know what the missing numbers are.
Answer:
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99 are missing num
Graph triangle ABC with vertices A(0,5) B(4,3) and C(2,-1) and it’s image after a reflection in the line y=2
By reflecting the given points about y=2, the x-coordinates remain the same, then we have
\(\begin{gathered} (0,5)\longrightarrow(0,-1) \\ (4,3)\longrightarrow(4,1) \\ (2,-1))\longrightarrow(2,5) \end{gathered}\)then, the new triangle is:
where the red line represents the line y=2. We found the new points by searching the points which are at the same distance of the original poinst to the line:
Then, the preimage and the image after the reflection are:
Write the standard form of the equation of the circle with radius 8 and center (10,−7).
The equations that represent the circle having a with radius 8 and center (10,−7) are; (x - 10)² + (y + 7)² = 8²
What is the standard form of the equation of a circle?The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is its radius.
We have given that circle having radius of 8 units. Thus, r = 8.
Since we know that circle having the center (10,−7).
Thus, the equation of the circle, with a radius of 8 units is;
(x - h)² + (y - k)² = r²
(x - 10)² + (y + 7)² = 8²
Thus, the equations that represent the circle having a with radius 8 and center (10,−7) are; (x - 10)² + (y + 7)² = 8²
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Need help. This please
The domain of the quadratic function in this problem is given as follows:
All real values.
How to obtain the domain of the function?The domain of a function is the set of all the possible input values that can be assumed by the function.
On the graph, the domain of the function is given by the values of x of the function.
A quadratic function has no restrictions on the domain, hence it is defined by all the real values.
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A model of a building uses a scale of 2 cm : 1.5m. The height of the building is 27 meters. What is the height of the model?
Answer:
The height of the model should be 36 cm
Step-by-step explanation:
The ratio given by the scale "2 cm : 1.5 m", is what we need to use to write a proportion and solve for the unknown height "h". This means that 2 cm is to 1.5 meters, as "h" cm is to 27 meters, which can be written in math form with the following proportion, and solved for the unknown:
\(\frac{2\,cm}{1.5\,m} =\frac{h}{27\,m} \\\frac{2\,*\,27}{1.5} \,cm\\h= 36\,cm\)
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
If 5x+5=50
then solve for x
Answer:
9
Step-by-step explanation:
5 x 9 is 45 plus 5 gives you 50
Answer:9
Step-by-step explanation:
5*9=45
45+5=50
Find the surface area of the prism
Answer:
Step-by-step explanation:
surface area=4×(4×2)+2×(4×4)=32+32=64 m²
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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convert 7/6 in a mixed number
Answer:
1 1/6
Step-by-step explanation:
Answer:
The answer is 1 1/6
Step-by-step explanation:
The reason why this answer is 1 1/6 is that you're dividing the numbers 7 and 6 which equals 1.16. So, 1 is the quotient and the other 1 is the remainder, and 6(denominator) stays in the fraction as the denominator. One goes into a whole number and the other one goes into the numerator, while the six stays in the denominator (1 1/6).
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Determine the planning value for the population standard deviation.
1. Determine how large a sample should be taken if the desired margin of error is:
a. $500
b. $200
c. $100
2. Would you recommend trying to obtain the $100 margin of error? Explain
Answer:
1) the planning value for the population standard deviation is 10,000
2)
a) Margin of error E = 500, n = 1536.64 ≈ 1537
b) Margin of error E = 200, n = 9604
c) Margin of error E = 100, n = 38416
3)
As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.
Hence, I will not recommend trying to obtain the $100 margin of error in the present case.
Step-by-step explanation:
Given the data in the question;
1) Planning Value for the population standard deviation will be;
⇒ ( 50,000 - 10,000 ) / 4
= 40,000 / 4
σ = 10,000
Hence, the planning value for the population standard deviation is 10,000
2) how large a sample should be taken if the desired margin of error is;
we know that, n = [ (\(z_{\alpha /2\) × σ ) / E ]²
given that confidence level = 95%, so \(z_{\alpha /2\) = 1.96
Now,
a) Margin of error E = 500
n = [ (\(z_{\alpha /2\) × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 500 ]²
n = [ 19600 / 500 ]²
n = 1536.64 ≈ 1537
b) Margin of error E = 200
n = [ (\(z_{\alpha /2\) × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 200 ]²
n = [ 19600 / 200 ]²
n = 9604
c) Margin of error E = 100
n = [ (\(z_{\alpha /2\) × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 100 ]²
n = [ 19600 / 100 ]²
n = 38416
3) Would you recommend trying to obtain the $100 margin of error?
As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.
Hence, I will not recommend trying to obtain the $100 margin of error in the present case.
What is the answer at the A - B i don't know how to do this so I want answer or explanations The
Answer:
where is the question bro?
Step-by-step explanation: