if tan of theta =3/4 what is sec of theta​

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Answer:

6200 rupees

Step-by-step explanation:

Think the monthly income x

According to the question

The equation is

x×28%=1736

x×28/100=1736

x=1736÷28/100

x=1736×100/28

x=62×100

x=6200

So monthly income is 6200 rupees

Answer:

\(6200\ Rupees\)

Step-by-step explanation:

\(We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\\)

\(\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\\)

Answers:

==========================================================

Explanation:

Point A is at (-3, 4). If we apply the translation rule of "shift 9 units to the right and 6 units down", then we apply this transformation

\((x,y) \to (x+9,y-6)\)

We add 9 to the x coordinate and subtract 6 from the y coordinate.

So (-3,4) becomes (-3+9, 4-6) = (6, -2) which is where point A' is located in the diagram. You should find that points B,C,D all map to B', C', D' following this same translation rule.

Therefore, statement 1 is true.

Statement 3 is the same idea, but the order has been swapped. The order doesn't matter in this case. So that makes statement 3 true as well.

-----------------------------------------------

Statement 2 on the other hand is false

Why? Because a reflection reverses the orientation of a figure. Note how both squares ABCD and A'B'C'D' all go clockwise when we go through the alphabet (ie A to B to C to D).

If a reflection happened, then A'B'C'D' would go counterclockwise and show that the orientation has been swapped. I recommend drawing an analogue clock and going up to a mirror to see that the orientation has swapped.

To swap the orientation back, you need a second reflection. This shows that two reflections either lead to a translation or a rotation (depending if the mirror lines are parallel or not).

If you wanted, you could track to see where point B ends up if you follow statement 2. Point B is at (-1, 4). Reflect over the y axis to get to (1, 4). Then shift 6 units down to arrive at (1, -2) which is not the correct location of B'. The diagram shows B' is actually at (8, -2). So this is an alternative way to see how statement 2 is false.

Answer:

True

False

True

Step-by-step explanation:

The speed at which Mohit should travel for the rest of the distance so that he reaches the school exactly on time is (x-2)/10 km/min or 6(x-2)km/hr.

It is given in the question that Mohit has to travel x km in 25 minutes to reach the school exactly on time. It is also given that he traveled 2 km in 15 minutes.

Hence,

Distance left to cover by Mohit= (x - 2) km

Time left with Mohit = (25 - 15) min = 10 min

We know that,

Speed = Distance/ Time

Hence, Mohit's speed for the rest of the distance will be =

(x-2)/10 km/ min

We can also change the speed in km/hr.

We know that,

1 hour = 60 minutes

Hence,

1/60 hour = 1 minutes

10 minutes = 10/60 hour

10 minutes = 1/6 hour

Hence,

(x-2)km/ 10 min = (x-2)km/(1/6) hour = 6(x-2)km/hr.

To learn more about speed, here:-

https://brainly.com/question/28224010

#SPJ4

Answer:

\(2x^2+7x+6\)

Step-by-step explanation:

Use the FOIL method to multiply these two expressions:

\((x+2)(2x+3)\\x(2x)+2(2x)+3(x)+2(3)\\2x^2+4x+3x+6\\2x^2+7x+6\)

Answer:

c

Step-by-step explanation:

The probability that the first flip lands on tails or the last flip lands on heads is 3/4.

There are 8 possible outcomes when a coin is flipped 3 times: HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT. Each of these outcomes is equally likely since the coin is fair.

We want to find the probability that the first flip lands on tails or the last flip lands on heads. There are two ways this can happen:

The first flip lands on tails: There are 4 outcomes where the first flip lands on tails: TTT, TTH, THT, and THH. Of these 4 outcomes, 3 have the last flip land on either heads or tails. So, the probability of this happening is 3/8.

The last flip lands on heads: There are also 4 outcomes where the last flip lands on heads: HHH, THH, TTH, and HTH. Of these 4 outcomes, 3 have the first flip land on either heads or tails. So, the probability of this happening is also 3/8.

Since the two events are mutually exclusive (they cannot happen at the same time), we can add their probabilities to get the probability that at least one of them happens:

P(first flip lands on tails or last flip lands on heads) = P(first flip lands on tails) + P(last flip lands on heads)

= 3/8 + 3/8

= 6/8

= 3/4

for such more question on  probability

https://brainly.com/question/13604758

#SPJ11

Answer:

18 Kg of 64 Kg represents 9/32 parts

Step-by-step explanation:

We first represent the 18lg of the 64kg as a fraction that can still be reduced:

\( \rm Fraction: \: \dfrac{18kg}{64kg} \)

We see that the fraction can be reduced to its half, because both the numerator and the denominator can be simplified by 2.

\( \rm \dfrac{18kg :2}{64kg :2} = \dfrac{9}{32} \)

By so:

Answer:

I say 65 hours hope it helps

Step-by-step explanation:

The area covered by 19, 602 square feet in acres is around 0.45, according to the relation between the two.

As per the known relation between acre and square foot, the two quantities are related through the formula -

1 acre is equal to 43, 560 square feet

Therefore, formula to convert square feet to acre will be -

Amount of area in acres = area covered in square feet/unit equivalent area in square feet

So, rewriting the above mentioned relation.

43, 560 square feet is equal to 1 acre

Thus, 19, 602 square feet will be equal to acres = 19, 602/43, 560

Performing division on Right Hand Side of the equation

The amount of area in acres = 0.45 acres

Learn more about unit conversion -:

https://brainly.com/question/13016491

#SPJ4

Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.

Here is a detailed breakdown of the calculations and assumptions made:

The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).

The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.

The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.

The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).

The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).

The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.

Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.

To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.

Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

Learn more about Total cost:

https://brainly.com/question/25109150

#SPJ11

Answer:

4 students had snickers

Step-by-step explanation:

$6.80-$4.80=$2.00

0.30x16=$4.80

$0.30x4=$2.00

$4.80+$2.00=$6.80

Answer:

The question is not clearly stated, below is a possible match of the clearly and completely stated question:

Tony is writing a fraction equivalent to 2/7 using the formula 2*m/7*n. Which statement about m and n must be true so that tony fraction has the same value as 2/7

A. M/n has to be greater than 1

B. M/n has to equal 7

C. M/n has to be greater than 2

D. M/n has to equal 1

Answer:

m/n has to equal 1 (D)

Step-by-step explanation:

\(original\ fraction = \frac{2}{7} \\equivalent\ fraaction = \frac{2\ \times\ m}{7\ \times\ n} \\equivalent\ fraction\ = \frac{2}{7} \times\ \frac{m}{n} \\\)

since the target for the equaivalent fraction is the same as the equivalent fraction (\(\frac{2}{7}\)), the value of \(\frac{m}{n}\)  must be equal to 1, so that the multiplication will be:

\(\frac{2}{7} \times 1 = \frac{2}{7}\)

a) The mean and the standard deviation of the amateur golfer’s scores for both the years 2014 and 2015 are given below:2014 Season Mean of scores = (72+76+77+75+73+71+73+75) / 8

= 592 / 8 = 74

Standard Deviation (SD) of scores = 2.29 (rounded to 2 decimal places) 2015

Season Mean of scores

= (69+68+73+75+83+78+69+77) / 8

= 592 / 8

= 74

Standard Deviation (SD) of scores = 5.05 (rounded to 2 decimal places)b)

The primary difference in performance between 2014 and 2015 is that the standard deviation of the scores in 2015 is greater than that in 2014.

This indicates that the scores in 2015 were more spread out or varied than in 2014.

Improvement can be seen in the 2015 scores as the mean of scores in 2015 is less than the mean of scores in 2014. The lower mean score indicates an improvement in the performance of the amateur golfer.

For similar question on deviation.

https://brainly.com/question/28225633

#SPJ11

Using the central angle theorem, we can find the arm length of BD to be 118units.

Option C is correct.

The angle that an arc occupies at the centre of a circle is twice as large as the angle it occupies anywhere else around the circle's circumference, according to the central angle measure theorem.

Here in the question,

Length of the arc AC = 59.

As we can see that there is a quadrilateral inscribed inside the circle.

Arc AC = 1/2 arc BD

⇒ arc BD = 2 × arc length AC

⇒ arc BD = 2 × 59

⇒ arc BD = 118.

Therefore, the length of the arc BD = 118 units.

To know more about central angle, visit:

https://brainly.com/question/15698342

#SPJ1

Using the central angle theorem, we can find the arm length of BD to be 118units.

Option C is correct.

The angle that an arc occupies at the centre of a circle is twice as large as the angle it occupies anywhere else around the circle's circumference, according to the central angle measure theorem.

Here in the question,

Length of the arc AC = 59.

As we can see that there is a quadrilateral inscribed inside the circle.

Arc AC = 1/2 arc BD

⇒ arc BD = 2 × arc length AC

⇒ arc BD = 2 × 59

⇒ arc BD = 118.

Therefore, the length of the arc BD = 118 units.

To know more about central angle, visit:

https://brainly.com/question/15698342

#SPJ1

To answer this question, we have that the expression is:

Answer:

Solve for b by simplifying both sides of the equation, then isolating the variable. Exact Form:

b = 3/17 Decimal Form: b=0.17647058

Step-by-step explanation:

Answer:

Was there supposed to be a graph with the question?

Step-by-step explanation:

I might know the question actually, if was a mulitple choice, then the answer is b. limacon with inner loop.

Answer:

answer c on edge, the one with a loop

Step-by-step explanation:

got it right

Answer:

12oz bottle

Step-by-step explanation:

10 oz bottle

Take the price and divide by the ounces

2.40 /10 = .24 per ounce

12oz bottle

2.64 / 12 =.22 per ounce

A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

To learn more about Differential equation link is here:

brainly.com/question/14620493

#SPJ4

Answer:

(x+4)x

Step-by-step explanation:

The factor of the expression into an equivalent form x² + 4x would be;  x(x + 4)

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression into an equivalent form x² + 4x

This expression could also be given by;

x² + 4x

Then factor out x we get;

x² + 4x =  x(x + 4)

Hence, the expression into an equivalent form x² + 4x would be; x(x + 4)

Learn more about expression here;

brainly.com/question/14083225

#SPJ2

Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

Answer:

3(3d+1)

9d+3

Step-by-step explanation:

Answer: are y^(1/5) so than this mean 5 index radical of y

Step-by-step explanation: :) hope I helped!

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - (-2) / -3 - 5

6 / -8

= -3/4

y = -3/4x + b

4 = -3/4(-3) + b

4 = 9/4 + b

7/4

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

Given quadric surface is ( 3x)² − y + (2z)² = 0.

The equation of a quadric surface can be given by Ax² + By² + Cz² + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0, where A, B, C, D, E, F, G, H, I, J ∈ ℝ and (x, y, z) ∈ ℝ³.

(a) Type of quadric surface defined by the above equation is an elliptic paraboloid.

(b) The trace obtained by intersecting the surface with the xy-plane can be obtained by replacing z with 0. So, the equation is 9x² - y = 0, which can be written as y = 9x².

The trace is a parabola which opens upwards and intersects the y-axis at the origin.

(c) The trace obtained by intersecting the surface with the plane y = 1 can be obtained by replacing y with 1.

So, the equation is 9x² + 4z² = 1.The trace is an ellipse in the xz-plane, centered at the origin.

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

Know more about minor axis here:

https://brainly.com/question/30950392

#SPJ11

Answer: The probability of the pointer lands on red(R) both spin =

Step-by-step: The number of parts = 6

The pointer is spun twice.

To find the probability of the pointer lands on red(R) both spin.

Formula

Probability of an event = number of required outcomes ÷ the total number of outcomes.

P(A and B) = P(A)×P(B)

Now,

For one spin,

A = RED comes.

For second spin,

B = RED comes

So,

P(A) = and P(B) =

Then,

P(A and B) = × =

Hence, the probability of the pointer lands on red(R) both spin =

Answer: Relation

Step-by-step explanation:

The graph fails the vertical line test.

Answer:

B. A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

Step-by-step explanation:

Polygons EFGH and E′F′G′H′ are shown on the coordinate grid:

What set of transformations is performed on EFGH to form E′F′G′H′?

A. A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin

B. A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

C. A 90-degree clockwise rotation about the origin followed by a translation 2 units to the right

D. A 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Answer: Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

If a point X(x, y) is translated a units right and b units up, the new location is (x + a, y + b) also If a point X(x, y) is translated a units left and b units down, the new location is (x - a, y - b)

If a point X(x, y) rotated 90-degree counterclockwise about the origin, the new location is X'(-y, k)

Polygon EFGH has vertices E(1, 1), F(1, 4), G(5, 4), and H(4, 1). If the polygon is translated 1 unit right, the new location is E*(2, 1), F*(2, 4), G*(6, 4) and H*(5, 1).

If it is then rotated 90-degree counterclockwise about the origin, the new location is E'(-1, 2), F'(-4, 2), G'(-4, 6) and H'(-1, 5)

Answer:

Just here so you can give them brianliest but the answer is B!

Step-by-step explanation:

To disprove Micah's claim that the base of the prism must be a square, we can draw a rectangular base for the prism with dimensions that satisfy the volume and height requirements.

Micah's claim states that the base of the prism must be a square. However, to show that this claim is incorrect, we need to provide a counterexample by drawing a base that is not a square but still satisfies the given conditions.

Given that the volume of the prism is 360 cubic units and the height is 10 units, we can find the dimensions of the base by dividing the volume by the height: 360/10 = 36.

Now, we can draw a rectangle as the base of the prism with dimensions that multiply to give a product of 36. For example, we can draw a base with dimensions of 4 units by 9 units. This rectangle is not a square since its sides have different lengths.

By constructing a rectangular base with dimensions of 4 units by 9 units, we demonstrate that Micah's claim is incorrect. This shows that the base of the prism does not have to be a square, as there are other valid configurations that satisfy the given volume and height requirements.

Learn more about volume here:

brainly.com/question/13338592

#SPJ11