Answer:
x=8
Step-by-step explanation:
the geometric mean(√(a*b)) of the segments of the hypotenuse is equal to the altitude of the triangle.
4^2 = 2x
16=2x
16/2 =x
8=x
Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649
Step-by-step explanation:
it seams like this question is wrong
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.
If h = 3.5u, what is the value of h when u = 17?
Give any decimal answers to 1 d.p.
Put u=17
h=3.5(17)h=51+8.5h=59.5Answer:
59.5.
Step-by-step explanation:
h = 3.5u
When u = 17,
h = 3.5*17
= 59.5
A tangent PQ at a point P of a circle of radius. 5cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :
A)12 cm
B) 13 cm
C) 8.5 cm
D) √119 cm
Answer :
[tex]\boxed{D) \sqrt{119} \: cm}[/tex]
Solution :
In the above figure, the line that is drawn from the centre of the given circle to the targent PQ is perpendicular to PQ.
And So, OP ⊥ PQ
Using Pythagoras theorem in triangle ΔOPQ we get ,
[tex]\Longrightarrow\: OQ^2 = OP^2 + PQ^2[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: (12)^2 = 5^2+PQ^2[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ^2 = 144-25[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ^2 = 119[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\: PQ = \sqrt{119} [/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
So, option D) √119 cm is the length of PQ.
A hot air balloon holds 1,592 cubic meters of helium. the density of helium is 0.1785 kilograms per cubic meter. how many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? 432.3 kg 284.2 kg 2,043.7 kg 5,435.3 kg
We will see that there are 284.2 kilograms of helium inside the ballon.
How to find the mass of helium in the ballon?
In this problem, we know the volume of helium and the density of helium.
Remember that:
density = mass/volume.
Then we can write:
mass = density*volume.
Replacing the two in the right, we get:
mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg
Then we can conclude that there are 284.2 kilograms of helium in the ballon.
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What is the answer??
Answer:
5 given as -1 and 8 positive 8 cross by axis
Find the mean of the data: 125, 15, 30, 110, 70
Answer:
The mean of the data is 70
Step-by-step explanation:
Hope this helps you! :D
Answer:
70
Step-by-step explanation:
Mean-
Add all the numbers to the total = 350
Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)
350/5 = 70
Can anyone help me with this quick question please, ASAP, Thank You!
Answer:
15.7 lbs (please mark brainliest)
Step-by-step explanation:
2.6+x+x=34
2x=31.4
x=15.7
Answer: 14.4
Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.
Simplify this expression
(15+8d)(-5)-24d+d
Solve step by step
What is the median of this data set?
{12, 8, 9, 12, 10, 13,8}
Enter your answer in the box.
Answer:
10
Step-by-step explanation:
Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 10,000 shares at $5.50 per share. Stock B opens on Monday with 8000 shares at $6.25 per share. Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
A. 5.6%
B. 5.9%
C. -5.6%
D. -5.9%
Answer:
sorry but I do know that it is A or B hope this helps.
The rate of change of the given simple index over 1 day is -0.9%.
What is rate of change?When something has a constant rate of change, one quantity changes in relation to the other.
Given that;
Stock A opens on Monday with 10000 shares at $5.50 per share.
Stock B opens on Monday with 8000 shares at $6.25 per share.
Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share.
Total value of the simple index at Monday is;
= (10000×5.50) + (8000×6.25)
= 55,000 + 50,000
= 105,000
The total value of the simple index at Tuesday is;
= (10000×5.80) + (8000×6.65)
= 58,000 + 53,200
= 111,200
The rate of change of this simple index over 1 day is;
= (111,200-105,000)/(10000-8000) -1
= 6,200/2000 - 1
= 3.1 - 1
= 2.1
Hence, the rate of change of the given simple index over 1 day is -0.9%.
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pls pls help me Calculate the volume of a cone whose base radius is 3 and half cm and vertical height 24cm
Answer:
307.916cm^3
Step-by-step explanation:
[tex]volume \: of \: a \: cone \: = \frac{1}{3}\pi \: r {}^{2} h \\ v = \frac{1}{3} \times 3.142 \times 3.5 {}^{2} \times 24 = 307.916cm {}^{3} [/tex]
Simplify the fraction
Write a system of inequalities using the given graph
Take two points
(-2,1)(0,-3)Slope
m=-3-1/0+2=-4/2=-2Parallel lines so slopes are equal
Only y intercept will vary
So both lines have y intercept at -3 and -1 respectively
The equations
y=-2x-3y=-2x-1Put (0,0) on first one
0>-3On second one
0>-1So as lines are dashed symbols remain >
The inequalities are
y>-2x-3y>-2x-1I need help asap please
When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.
How to illustrate the probability?Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:
= $3300 - $429
= $2871
In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.
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Anybody want to help with math? Pls hurry, I’ll give brainiest and everything.
Find the missing number in the ratio table below.
11 22 33 44
9 18 27 ?
A: 38
B: 36
C: 35
D: 37
Answer:
B
Step-by-step explanation:
You are going to add 9 to 27 because you are counting by nines on the bottom.
Given the function f(x) = 8x-1, what is the corresponding value when x = -1?
4 people are going to a dinner party. Each person at the party will eat 5/6 pound of salad but you can only buy in pounds.If you can only buy whole pounds of salad, how many pounds should you buy?
Find the height of the cylinder if the radius is 3 and the volume is 340
Answer:
12.025
Step-by-step explanation:
h=v/(π*r square)
divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)
340÷(π×3square)
giving you 12.025
(original in calculator=12.02504014)
but it is 12.025
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are ambrase, 30% are butonic, 15% are colana, and 35% are dynamite. a party guest randomly chooses four cans of soda. calculate the probability that the guest chooses one of each type of soda.
The probability that the guest chooses one of each type of soda will be 8.03%.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.
A party guest randomly chooses four cans of soda.
Then the probability that the guest chooses one of each type of soda will be
Let the total number of the soda can will be 100. Then we have
Ambrase = 20
Butonic = 30
Colana = 15
Dynamite = 35
[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]
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How do you convert fractions into decimals?
And the other way around?
→ The formula to convert a fraction to a decimal is ( "a ÷ b" ) .
→ where ( a ) is the NUMERATOR and ( b ) is the DENOMINATOR of the fraction .
The fraction to decimal formula states that:
• you just need to divide the numerator by denominator to get the decimal equivalent of the fraction ..
For example:• convert 25/100 to decimal ?
→ Just divide 25 by 100 = 0.25
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Step-by-step explanation:
to convert a fraction to decimal ,well just divide numerator ....by the denominator
we 'll divide 1 by 4.1 divided by 4 equal to zero to keep dividing we ' ll add a decimal point and a zero after 1.
What is the surface area of the triangular prism shown?
Answer:
The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 15\ cm[/tex]
[tex]Area = 375\ cm^2[/tex]
The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 12\ cm[/tex]
[tex]Area = 300\ cm^2[/tex]
The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 9\ cm[/tex]
[tex]Area = 225\ cm^2[/tex]
The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.
[tex]Area = \frac{1}{2}* b*h[/tex]
[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]
[tex]Area = 54\ cm^2[/tex]
Multiply it by two to get the area for both of the triangles.
[tex]Area = 54\ cm^2 * 2[/tex]
[tex]Area = 108\ cm^2[/tex]
Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.
[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]
[tex]Area_{total}=1008\ cm^2[/tex]
Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]
Hope this helps!
Which one 3, 4, 6, or 7
Answer:
i think that it is 6
Step-by-step explanation:
hope this helps
Please give me Brainlist
Simplify: √645³
O 872
O 84
O 3272
O 324
Answer:
√645^3=16,380.9. Mathematically correct
Using the slope formula, find the slope of the line through the given points.
(6,9) and (4,3)
Answer:
Slope is 3.
Step-by-step explanation:
Slope formula
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
m ... slope
Two points on the line are (x1, y1) and (x2, y2).
Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3[/tex]
You could also do [tex]m = \frac{3-9}{4-6}[/tex] and would get the same result.
In january, desmond begins saving $25 per month for a used car. each month, he is able to save $5 more than the previous month. after how many months will desmond first have enough money to purchase a $3,000 used car? 14 21 31 35
Answer:
After 31 months, Desmond first have enough money to purchase a used car.
Step-by-step explanation:
Since we have given that
Saving per month for a used car = $25
Each month he is able to save = $5 more than the previous month
If we have $3000 to purchase a used car.
So, we need to find the number of months Desmond to have enough money.
Our sequence will be
25,30,35,..............3000
So, it becomes,
Months can't be negative, So,
n = 31 months.
Hence, After 31 months, Desmond first have enough money to purchase a used car.
Answer:
C. 31
Step-by-step explanation:
A diner is serving a special lunch combo meal that includes a drink, a main dish, and a side. Customers can choose among 5 drinks, 4 main dishes, and 5 sides. How many different combo meals are possible? Select from the drop-down menu to correctly complete the statement Customers can create Choose... different lunch combo meals. 4 A 1 2 3 4 5. oc 9
Since the customers can choose among 5 drinks, 4 main dishes, and 5 sides. there 100 different combo meals are possible.
Since order is not important we use combination to solve the problem
What is combination?This is the number of ways in which x objects can be selected out of n objects. It is given mathematically as ⁿCₓ = n!/x!(n - x)!
The number of different combo mealsNow, given that the customer can choose among 5 drinks, 4 main dishes, and 5 sides.
There are ⁵C₁ ways of choosing the drinks.
So, ⁵C₁ = 5!/1!(5 - 1)!
= 5!/1!/4!
= 5
There are ⁴C₁ ways of choosing the main dishes.
So, ⁴C₁ = 4!/1!(4 - 1)!
= 4!/1!/3!
= 4
There are ⁵C₁ ways of choosing the sides.
So, ⁵C₁ = 5!/1!(5 - 1)!
= 5!/1!/4!
= 5
So, total number of ways of choosing the combo meals is
⁵C₁ × ⁴C₁ × ⁵C₁ = 5 × 4 × 5
= 100 ways.
So, there 100 different combo meals are possible.
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Answer: The answer is 100
Step-by-step explanation:
exponential function question
Answer: [tex]y = 850(0.943)^t[/tex]
Reason:
The exponential of the form [tex]y = a*b^x[/tex] has 'a' as the initial term and b as the growth or decay factor.
a = 850 is the starting amount
b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor
If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.
What is the value of x in the image below?
Answer:
a
Step-by-step explanation:
Find the volume of the pyramid to the nearest cubic unit. Use a calculator.
64 m^3
96 m^3
192 m^3
256 m^3
Answer: 64 m^3
Step-by-step explanation:
V=1/3*a^2*h
V = 1/3*64*3
V=64 m^3
Answer:
64 m³
Step-by-step explanation:
Formula
[tex]\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h[/tex]
where:
a = side lengthh = perpendicular heightGiven:
a = 8 mh = 3 mSubstituting the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}[/tex]