Given isosceles right triangle CDE with m∠D = 90, sin C = sin D

Answer:

I think you might mean 5.784 and if that is the case it would be 5.8

Step-by-step explanation:

5.8 would be the answer because 8 is closer to 10 than 0 so 7 would be rounded up to 8

Answer:

b

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

The angles inside a triangle always sum to 180°. We already have a 32° angle and a 90° - totalling 122° - and when we add x°, we'd like the sum to be 180°. So x must be 180 - 122 = 58.

Answer:

58

Step-by-step explanation:

The total should be 180 degrees. We know the the top angle is 32 degrees and the bottom left is 90 degrees because it has a square there. So 32+90=122. If we subtract 122 from 180 we are left with 58 degrees so x=58

Answer:

Step-by-step explanation:

[tex]\text{here is the missing text:} \\ \\ \text{ Suppose a company issues an annual coupon bond with a maturity of 2 years,} \\ \\ \text{ price of $950 \ par \ value \ of $1,000, and coupon rate of 5\% They also issue an}[/tex]

[tex]\text{ annual zero-coupon bond with a maturity of 1 year, price of $900, \ and \ par \ value \ of \ $1,000.}[/tex]

[tex]\text{To determine the 1-year spot rate using the 1-year zero bond.} \\ \\ FV = PV \times (1 + S_1) \\ \\ 1+ S_1 = \dfrac{FV}{PV} \\ \\ 1 + S_1 = \dfrac{1000}{900} \\ \\ S_1 = 11.11\%[/tex]

[tex]\text{PV of the 2-year bond = 950} \\ \\ Annual coupon = 1000 \times 5\% = \$50 \\ \\ \\ 950 = \dfrac{50}{(1+S_1) }+ \dfrac{(50+1000)}{(1+S_2)^2} \\ \\ 950 = \dfrac{50}{1.1111}+ \dfrac{1050}{(1+S_2)^2} \\ \\ \dfrac{1050}{(1+S_2)^2}=950 -45\\ \\ \dfrac{1050}{(1+S_2)^2}=905 \\ \\ (1+S_2)^2 = \dfrac{1050}{905} \\ \\ 1 + S_2= \sqrt{(1.16022)} \\ \\ S_2 = 7.714\%[/tex]

[tex]\text{the arbitrage-free price of the 2-year bond}= \dfrac{1000}{(1+0.07714)^2} \\ \\ = \mathbf{\$861.90}[/tex]

Answer: 17.92 feet

Step-by-step explanation:

From the question, we are informed that the estimation on a scale drawing of a fence is that 3.75 inches = 24 feet.

Based on the above, 1 inch will be:

= 24/3.75

= 6.4 feet

Therefore, the actual length of a second fence that is 2.8 inches in the drawing will be:

= 6.4 × 2.8

= 17.92 feet

Step-by-step explanation:

905÷5=5a÷5

there for a=181

Answer:

X=4 would be right above the 4 on the x axis.

Step-by-step explanation:

So you see where it says x? Graph it on the 4 on that line.

Answer:

Graph it on the 4 on line X

the answer is c because

y=60° opposite angles of a parallelogram are congruent.

? = 180-52-60 co- interior

=68°

Answer:

(3, -4)

Step.

The coordinates of the point which lies on the equation is A ( 3 , -4 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

y + 4 = 4 ( x - 3 )   be equation (1)

when x = 3 and and y = -4

Substituting the values of x and y in the equation , we get

-4 + 4 = 4 ( 3 - 3 )

0 = 4 ( 0 )

0 = 0

Therefore , the point A ( 3 , -4 ) lies in the equation

Hence , the coordinates of the point is A ( 3 , -4 )

To learn more about equations click :

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Answer:

the height is 15

Answer:

B) 15

Step-by-step explanation:

Volume of a cone formula:

V = πr²(h/3)

D/2 = r

10/2 = r

r = 5

393 = (3.14)5²(h/3)

393 = 78.5(h/3)

h = 15.02

h = 15

the distance between the 2 points is 10

Answer:230

Step-by-step explanation:

Answer:

This is your answer

Step-by-step explanation:

(For the second step I multiplied 6 and 4)

Answer:

Step-by-step explanation:

J=3x-10

We are told Jessica weighs 10 less than 3 times her sister’s weight and told that her sister’s weight was x.

(a.) A slice parallel to the base would result in two rectangular prisms, as opposed to a cube now. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle.

(b) A slice that contains and AE and DH will make a slanted cube, meaning it will turn into a cubic pyramid.

(c.) A slice that will contain and vertex F will make the cut the figure in half going slanted. They will technically be congruent, although there is no name for this figure.

Answer:

y=21-3x  and y=18-2x

Step-by-step explanation:

Ok, so we have candle A, which is 21 inches and burns 3 inches every hour. in slope-intercept form, the hours would be the x, the 21 is our y intercept. So the first equatio would be y=-3x+21 (negative slope, because the height of the candle is going down). Candle b, which is 18 inches, burns away 2 inches each hour. We can make -2 the slope (negative 2, since the candle is  being burned away, not being added to), and the 18 our y intercept. So the two equations would be

y=21-3x

and

y=18-2x

hope this helps!

Answer:

(1,2[tex]\sqrt{2}[/tex])

Answer:Y< 5x2 - 5 because it will be squared making it an exponential function

Step-by-step explanation:

9514 1404 393

Answer:

  a) x = {-1, 3, 4}

  b) (0.472, 13.128)

  c) (3.528, -1.128)

  d) x < 0.472 U x > 3.528

  e) 0.472 < x < 3.528

Step-by-step explanation:

This is a cubic (odd degree) function with a positive leading coefficient, so it will be increasing until the first turning point, and after the last turning point. It will be decreasing between the turning points.

a) A graph shows the zeros to be x = -1, x = 3, x = 4.

b) A graph shows the local maximum to be approximately (0.472, 13.128). The x-coordinate of this point is exactly 2-√(7/3).

c) The local minimum is about (3.528, -1.128). Its x-coordinate is exactly 2+√(7/3).

d) As stated above, the increasing intervals are (-∞, 0.428) ∪ (3.528, ∞).

e) The decreasing interval is (0.428, 3.528).

_____

Additional comments

The sum of odd-degree term coefficients is the same as the sum of coefficients of even-degree terms, so you know one of the roots is -1. Factoring that out gives the quadratic x^2 -7x +12 = (x -3)(x -4), so the other two roots are 3 and 4.

The derivative is 3x^2 -12x +5 = 3(x -2)^2 -7, so its roots (turning points of f(x)) are 2±√(7/3).

I find a graphing calculator can show me the roots and turning points easily.

Answer: Square, 24 square inches

Step-by-step explanation:

Given

Diameter of round pizza [tex]d=16\ in.[/tex]

Side of square pizza [tex]a=15\ in.[/tex]

Area of circle [tex]\pi r^2[/tex]

The area of a square is [tex]a^2[/tex]

[tex]\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2[/tex]

The area of square pizza is

[tex]A_2=15^2=225\ in.^2[/tex]

Clearly, the area of square pizza is more and the difference in their area is

[tex]\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I really can't give you a step-by-step

Answer:

The answer is 240.6 feet

Answer:

$32.85

Step-by-step explanation: 9.5% of 30 is 2.85

30 + 2.85 = 32.85