Solve the triangle below. type all answers as integers (no labels). Round to the nearest hundredth where applicable.

Answer:

20%

Step-by-step explanation:

p(outcomes)=#of favourable outcomes/#of possible outcomes

=1/5

=0.2

=20%

Answer:

1.9

can you also please mark me as brainliest?

Answer:

The two points where the parabola 5x²+9x+4=y crosses the x-axis are (-0.8,0) and (-1,0).

Answer:

the answer is 1820

455×

4

1820

ans:1820

The volume of the given sphere is 14130 cubic inches.

Given that, the surface area of a sphere is 900π square inches.

We know that, the surface area of a sphere is 4πr².

Here, 4πr²=900π

r²=900/4

r²=225

r=15 inches

The volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Here, volume of a sphere = 4/3 ×3.14×15³

= 14130 cubic inches

Therefore, the volume of the given sphere is 14130 cubic inches.

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9514 1404 393

Answer:

  (c)  -3/4

Step-by-step explanation:

Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.

Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...

  -2 1/2 -(-1 3/4) = -5/2 +7/4

  = -10/4 +7/4 = -3/4

Answer:

they are not independent

Step-by-step explanation:

they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.

Answer:

true

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3x6 = 18

The constant of proportionality in the equation y=1.5x is 1.5 .

The Constant Of Proportionality(k) in the equation can be defined as the constant value of the ratio between the two proportional quantities .

In Direct proportionality y=kx , where k is the constant of proportionality

means that if x increases then y also increases at the same rate ,

and if x decreases then y also decreases at the same rate .

For Example : constant of proportionality in y=6x , will be 6 .

In the question ,

it is given that

Kevin earns $6 for 4 polished rocks ,

the equation to represent the situation is y=1.5x

So 1.5 is the constant of proportionality .

Therefore , the constant of proportionality in the equation y=1.5x is 1.5 .

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2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:

1.8

2.24

3.15

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

Answer: (5 × 8) - (5 × 1)

Step-by-step explanation:

When you use the distributive property, you essentially distribute a number to terms it is being multiplied by in order to make the calculation process easier.

When you use the distributive property, you distribute the number outside a multiplication statement to the numbers inside. In this case, 5 is the number outside, and 8 and 1 are the numbers inside.

When you distribute the number 5 to the eight, you are left with (5 × 8). However, you must still include 1, the other number in the parentheses, to finish the equation.

With 1, you go through the same process as you did before. You distribute the number 5 to the 1 and are left with (5 × 1). However, in the original equation, you are subtracting the 8 by the 1, so you must account for the subtraction sign.

You essentially subtract the number you get from (5 × 8) by the number you get from (5 × 1). Therefore, your answer is (5 × 8) - (5 × 1).

\({ \bf{ \underbrace{Given :}}}\)

Radius of the circle "\(r\)" = 9 in.

\({ \bf{ \underbrace{To\:find:}}}\)

The circumference of the circle.

\({ \bf{ \underbrace{Solution :}}}\)

\(\sf\orange{The\:circumference \:of\:the\:circle\:is\:56.52\:in.}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

We know that,

\(\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }\)

\( = 2 \times 3.14 \times 9 \: in \\ \\ = 56.52 \: in\)

Therefore, the circumference of the circle is 56.52 in.

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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We need to evalute the function at x=0, x=3 and x=6.

For instance, at x=-3 we have

At x=0, we obtain

At x=3, we have

and finally, at x=6, we have

Hence, the table is given by

All the equations that represent a line passing through the point (-2, 5) with a slope of 4 are:

A. y - 5 = 4(x + 2)

B) 4x – y = –13

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

From the information provided above, we have the following slope and data points on the line:

At data point (-2, 5), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 4(x + 2)

y - 5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

4x - y = -13

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Complete Question:

Select all the equations that represent a line passing through the point (–2, 5) with a slope of 4. Multiple select question.

A) y − 5=4(x+2)

B) 4x – y = –13

C) y+5=4(x – 2)

D) 4x – y=13

E) y+2=4(x – 5)

F) 2x – 5y=4

Answer:

1233454u849492782u48383

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Correct question is ;

Given the equation of the parabola x² = -36y

The focus of the parabola is:

Answer:

Option C - Focus = (0,-9)

Step-by-step explanation:

The equation of the parabola is:

x² = -36y

Thus, y = - x²/36

Using the vertex form,

y = a(x − h)² + k, to determine the values of a, h, and k.

We will have;

y = (-1/36)(x − 0)² + 0

Thus,

a = - 1/36

h = 0

k = 0

The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.

p = 1/4a

So, p = 1/(4*(-1/36))

p = - 1/(1/9)

p = -9

Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

Focus is (h, k+p)

Plugging in the relevant values, we have;

Focus = (0, (0 + (-9))

Focus = (0,-9)

Answer:

A. 4/6

Step-by-step explanation:

It's 4/6 because 4/6 is 2/3 just multiplied by 2.

Hope this helps. ; )

Answer:

2 divided by 3

Step-by-step explanation:

0.6 repeating

Here is your answer.

A tank contains 5832 litres of water.

Total amount of water in tank = 5832 litres.

Each day one-third of the water in the tank is removed and not replaced.

Since one third of the water is removed for six days.

1st day = 1/3rd of 5832 litres is removed

\( = \dfrac{5832}{3} = 1944\)

Amount of water left = 5832 - 1944 = 3888 litres

2nd day = 1/3rd of 3888 litres is removed

\( = \dfrac{3888}{3} = 1296 \)

Amount of water left = 3888 - 1296 = 2592 litres

3rd day = 1/3rd of 2592 litres is removed

\( = \dfrac{2592}{3} = 864 \)

Amount of water left = 2592 - 864 = 1728 litres

4th day = 1/3rd of 1728 litres is removed

\( = \dfrac{1728}{3} = 576 \)

Amount of water left = 1728 - 576 = 1152 litres

5th day = 1/3rrd of 1152 litres is removed

\( = \dfrac{1152}{3} =384 \)

Amount of water left = 1152 - 384 = 768 litres

6th day = 1/3rrd of 768 litres is removed

\( = \dfrac{768}{3} = 256 \)

Amount of water left = 1768 - 256 = 512 litres

So, 512 litres water remains in the tank at the end of 6 days

Answer: Loss, 200 Rs

Step-by-step explanation:

Given

Sharad bought  a quintal of onion i.e. \(1000\ kg\) for \(Rs.\ 2000\)

So, the cost price of onion is

\(\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}\)

He sells it at \(18\ \text{Rs. per kg}\)

Here, the Selling price is less than the cost price

So, he incurs a loss of \(2\ \text{Rs per kg}\)

For a quintal it is

\(\Rightarrow 2\times 100=200\ \text{Rs}\)

\(\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%\)

The time required for an investment of 5000 dollars at an interest rate of 7.5 percent per year, compounded quarterly, is  5.49 years

Compound interest is the interest earned not only on the principal amount of an investment, but also on any interest accumulated on that principal amount over previous periods. In other words, compound interest is interest calculated on both the principal amount and the interest earned on that principal over time, resulting in the exponential growth of an investment.

Using the formula for compound interest:

A = P(1 + r/n)ⁿᵃ

where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times compounded per year, a is the time in years.

In this case, we have:

P = 5000

A = 9000

r = 0.075

n = 4

We need to find t, the time required to reach a final amount of 9000 dollars.

Substituting these values into the formula, we get:

9000 = 5000(1 + 0.075/4)⁴ᵃ

Dividing both sides by 5000 and simplifying, we have:

1.8 = (1.01875)⁴ᵃ

Taking the natural logarithm of both sides, we have:

ln(1.8) = ln(1.01875)⁴ᵃ

ln(1.8) = 4a×ln(1.01875)

Dividing both sides by 4ln(1.01875), we get:

a = ln(1.8) / (4 × ln(1.01875))

Using a calculator, we can evaluate this expression to get:

a ≈ 5.49

Therefore, the time required for an investment of 5000 dollars to grow to 9000 dollars at an interest rate of 7.5 percent per year, compounded quarterly, is approximately 5.49 years.

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Answer:A. x= .100

Step-by-step explanation:because of the distance in miles

200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.

The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.

The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.

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The solution of the system of functions can be found graphically by locating the point of intersection of the graphs of the different functions.

A function is a rule that maps the elements of one set A to the elements of another set B such that each element of A maps directly to only one element of B.

The solution of an equation, which is the expression of equality of two or more functions is found by locating the point of intersection of the graphs of both functions, which corresponds to the point at which the same input value to both functions produces the same output

The graph of the exponential function y = 2ˣ + 1, (which increases exponentially through the points (-1, 1.5), (0, 2), (2, 5)) and the function y = (1/2)ˣ which decreases exponentially from (-3, 8), (-1, 2), (3, 0.125), intersect at the point given by the solution of the equation;

\(2^x + 1= \left(\dfrac{1}{2} \right)^x\)

2ˣ×2ˣ + 2ˣ = 1

\(2^{2\cdot x} + 2^x = 1\)

\(2^{2\cdot x} + 2^x - 1 = 0\)

Let a = 2ˣ

a² + a - 1 = 0

Therefore;

\(a = \dfrac{-1\pm \sqrt{1-4\times 1\times (-1)} }{2} = \dfrac{-1\pm \sqrt{5} }{2}\)

\(2^x= \dfrac{-1\pm \sqrt{5} }{2}\)

\(x=\dfrac{ ln\left( \dfrac{-1\pm \sqrt{5} }{2}\right)}{ln(2)}\approx -0.694\)

y = 2ˣ + 1

\(y = 2^{-0.694} + 1 \approx 1.618\)

Which gives;

The solution of the equation, \(2^x + 1= \left(\dfrac{1}{2} \right)^x\)is (x, y) = (-0.694, 1.618)

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