If tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?

70.80

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

The area of each given square is:

Part A: 1/4 cm²

Part B: 9/47 units²

Part C: 1.89 inches²

Part D: 0.01 meters²

Part E: 12.25 cm²

Area of a square, with side length, s, is: A = s².

Part A:

s = 1/2 cm

Area = (1/2)² = 1/4 cm²

Part B:

s = 3/7 units

Area = (3/7)² = 9/47 units²

Part C:

s = 11/8 inches

Area = (11/8)² = 1.89 inches²

Part D:

s = 0.1 meters

Area = (0.1)² = 0.01 meters²

Part E:

s = 3.5 cm

Area = (3.5)² = 12.25 cm²

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Answer:

[tex]y=14x^2+x-3[/tex]

Step-by-step explanation:

If the zeros of the polynomial are -1/2 and 3/7 then:

[tex]\implies x=-\dfrac12[/tex]

Add 1/2 to both sides:

[tex]\implies x+\dfrac12=0[/tex]

Multiply both sides by 2:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=\dfrac37[/tex]

Subtract 3/7 from both sides:

[tex]\implies x-\dfrac37=0[/tex]

Multiply both sides by 7:

[tex]\implies 7x-3=0[/tex]

Therefore, the factored form of the polynomial is [tex]y=(2x+1)(7x-3)[/tex]

Expanding the brackets so that the polynomial is in standard form:

[tex]\implies y=14x^2-6x+7x-3[/tex]

[tex]\implies y=14x^2+x-3[/tex]

Step-by-step explanation:

The distance from the radius to a point on the circle is equal to the radius. After using the distance formula, we get that the radius is 5.

Using the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2, we get that the equation is:

(x+5)^2 + (y-6)^2 = 25

Answer:

  10 years

Step-by-step explanation:

The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.

__

  I = Prt . . . interest earned on principal P at rate r for t years

  6000 = 1000·0.60·t . . . . use the given values for I, P, r

  6000/600 = t = 10 . . . . divide by the coefficient of t

$1000 will yield an interest of $6000 in 10 years.

Answer:  5.6ft²

Step-by-step explanation:

Area of a rectangle = length x width

                                 = [tex]\frac{4}{5} ft[/tex] (7ft)

                                 = [tex]\frac{28}{5}ft^{2}[/tex]

                                 = 5.6ft²

Answer:

C 10

Step-by-step explanation:

Heron's formula to calculate the area of a triangle based on 3 sides :

p (half the perimeter) = (a+b+c)/2

area = sqrt(p(p-a)(p-b)(p-c))

AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)

AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)

BC = b = sqrt(2² + 4²) = 2×sqrt(5)

p = 2×sqrt(5) + sqrt(10)

area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =

= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =

= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

Answer:

10 ft

Step-by-step explanation:

5 1/6 + 4 5/6 = 10

5 + 4 = 9

1/6 + 5/6 = 6/6 = 1

9 + 1 = 10

Answer:

10 feet

Step-by-step explanation:

We are trying to find Madison's height plus Jade's height...

Turn the fractions into improper fractions

So,

5 1/6 = 31/6

4 5/6 = 29/6

31/6 + 29/6 = 10 feet

or

5+4= 10 and 1/6+5/6 = 1

so the answer is 10 feet

PLEASE RATE!! I hope this helps!!!

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Answer: There are 2 different unit rates here:

The increase of the tree's height per year

The increase of the tree's trunk per year

Rate of tree's height per year

= 33m / 150 years = 0.22m per year.

Rate of tree's trunk per year

= 3m / 150 years = 0.02m per year.

Answer:

y = 0

Step-by-step explanation:

Midline = the horizontal center line

Answer:

3/7

Step-by-step explanation:

Because there are three yellow marbles and 7 marbles in all

Answer:

The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function

[tex]\rm C(m) = 0.05\ m + 20[/tex]

The domain of the function is from zero to infinity because time can never be negative.

Then the range of the function will be

At m = 0, the value of C(m) will be

C(m) = 0.05(0) + 20

C(m) = 20

At m = ∞, the value of C(m) will be

C(m) = 0.05(∞) + 20

C(m) = ∞

Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).

More about the linear system link is given below.

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The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

The net asset value is the difference of total asset value of the company to the total liabilities value of that company.

Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.

Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.

To find the net asset for this case, divide the profit with the number of shares and the higher price in that.

[tex]\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\[/tex]

Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

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Answer:

42°

Step-by-step explanation:

∠NML = ∠ZYX =88°

Angles in a triangle add up to 180 so ∠ZXY =

180 - (50+88)

180-138

42

∠ZXY = 42°

Answer:

52 cents :)

Step-by-step explanation:

Nickel: 5 cents

Penny: 1 cent

5 x 8 = 40

12 x 1 = 12

40 + 12 = 52

Have an amazing day!!!

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Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

4³

Subtract:

4³-25

[If necessary] Evaluate:

64-25

39

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

See below ↓

Step-by-step explanation:

a. Graph shown Below.

b.

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

[tex]\sf f(x) = 3.13\sqrt{x}[/tex]

the wave is 10 m above the sea

[tex]\sf f(x) = 3.13\sqrt{10}[/tex]

[tex]\sf f(x) = 9.9 \ m/s[/tex]

Answer:

X=6, Y=-1

Solved using substitution

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

[tex]3y - 2( - 6y) = - 15 [/tex]

Simplify both sides

[tex]3y + 12y = - 15[/tex]

Combine Like terms

[tex]15y = - 15[/tex]

Divide both sides by 15

[tex]y = - 1[/tex]

Answer:

Example Question: f(x) = 2x^2 + 2x - 1

If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)

Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)

To find the vertex, simply imput the axis of symmetry into the given equation.

And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

Answer:

c. Town B has a population of approximately 5,138.

Step-by-step explanation:

sorry its late

Based on the population density, town B has a population of approximately 5138; option C

Population density is the ratio of the total population of a place and the area of the place.

Population density of A = 54016/3.89 = 138885.86 per square miles

Population density of B = 138885.86 per square miles

Population of B = 138885.86 × 0.37 = 5138

Therefore, town B has a population of approximately 5138.

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Answer:

Step-by-step explanation:

It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.

We must know this formula :

Now substituting the values :

⇒ Volume(Cylinder) = 22/7 × (7)² × 35

⇒ Volume(Cylinder) = 22/7 × 49 × 35

⇒ Volume(Cylinder) = 22 × 7 × 35

⇒ Volume(Cylinder) = 22 × 245

⇒ Volume(Cylinder) = 5390

Therefore,

The quarterly payment will be $1,127.86

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

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Answer: Yes

Step-by-step explanation:

It can have angles of 90 degrees, 45 degrees, and 45 degrees.

Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

The Isosceles Right Triangle has one of the angles exactly 90 degrees and two sides, which are equal to each other.

Since the two sides are equal it makes the corresponding angle congruent.

An Isosceles triangle is a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

Hence, Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

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Answer:

271.2 meters

Step-by-step explanation:

See attached image.